[ 0s] on X86_64, no limit mem size [ 0s] Using BUILD_ROOT=/var/cache/build/root_1 [ 0s] Using BUILD_ARCH=armv7l:armv6l:armv5tel [ 0s] [ 0s] [ 0s] obsnw13 started "build _service:gbs:lightweight-web-engine.spec" at Thu Oct 7 16:19:22 UTC 2021. [ 0s] [ 0s] Building lightweight-web-engine for project 'Tizen:Unified' repository 'standard' arch 'armv7l' srcmd5 'bf457a4fff7ce5749140427ed3b51dfe' [ 0s] [ 0s] processing recipe /var/cache/build/root_1/.build-srcdir/_service:gbs:lightweight-web-engine.spec ... [ 0s] running changelog2spec --target rpm --file /var/cache/build/root_1/.build-srcdir/_service:gbs:lightweight-web-engine.spec [ 0s] init_buildsystem --configdir /var/run/obs/worker/1/build/configs --cachedir /var/cache/build --clean --rpmlist /var/cache/build/root_1/.build.rpmlist /var/cache/build/root_1/.build-srcdir/_service:gbs:lightweight-web-engine.spec build rpmlint-Factory ... [ 1s] copying qemu [ 1s] /usr/bin/qemu-arm-binfmt /usr/bin/qemu-arm-static /usr/bin/qemu-arm64-binfmt /usr/bin/qemu-arm64-static /usr/sbin/qemu-binfmt-conf.sh [ 1s] [ 1s] registering binfmt handlers for cross build [ 1s] write: Invalid argument [ 1s] /proc/sys/fs/binfmt_misc/register: write failed [ 1s] /var/run/obs/worker/1/build/qemu-reg: line 8: write failed. Content: :aarch64:M::\x7fELF\x02\x01\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x02\x00\xb7:\xff\xff\xff\xff\xff\xff\xff\x00\xff\xff\xff\xff\xff\xff\xff\xff\xfe\xff\xff:/usr/bin/qemu-arm64-binfmt:P [ 1s] [ 1s] /.build/qemu-reg: No such file or directory [ 1s] /.build/qemu-reg: failed. Trying alternate binfmt file [ 1s] /usr/lib/build/qemu-reg: No such file or directory [ 1s] /usr/lib/build/qemu-reg: binfmt registration failed [ 2s] cycle: libsoftokn3 -> nss [ 2s] breaking dependency nss -> libsoftokn3 [ 2s] [1/41] preinstalling libmagic-data... [ 2s] [2/41] preinstalling libncurses... [ 2s] [3/41] preinstalling setup... [ 2s] [4/41] preinstalling filesystem... [ 2s] [5/41] preinstalling glibc... [ 2s] [6/41] preinstalling libgcc... [ 2s] [7/41] preinstalling libzstd1... [ 2s] [8/41] preinstalling bash... [ 2s] [9/41] preinstalling diffutils... [ 2s] [10/41] preinstalling grep... [ 2s] [11/41] preinstalling libattr... [ 2s] [12/41] preinstalling libblkid... [ 2s] [13/41] preinstalling libbz2... [ 2s] [14/41] preinstalling libcap... [ 2s] [15/41] preinstalling libfreebl3... [ 2s] [16/41] preinstalling liblua... [ 2s] [17/41] preinstalling liblzma... [ 2s] [18/41] preinstalling libpopt... [ 2s] [19/41] preinstalling libreadline... [ 2s] [20/41] preinstalling libsmack... [ 2s] [21/41] preinstalling libsqlite... [ 2s] [22/41] preinstalling libuuid... [ 3s] [23/41] preinstalling nspr... [ 3s] [24/41] preinstalling sed... [ 3s] [25/41] preinstalling zlib... [ 3s] [26/41] preinstalling qemu-accel-x86_64-armv7l... [ 8s] [27/41] preinstalling qemu-linux-user-x86_64-cross... [ 10s] [28/41] preinstalling coreutils... [ 10s] [29/41] preinstalling libacl... [ 10s] [30/41] preinstalling libelf... [ 10s] [31/41] preinstalling libmount... [ 10s] [32/41] preinstalling smack... [ 10s] [33/41] preinstalling bzip2... [ 10s] [34/41] preinstalling libmagic... [ 10s] [35/41] preinstalling libxml2... [ 10s] [36/41] preinstalling tar... [ 10s] [37/41] preinstalling util-linux... [ 10s] [38/41] preinstalling util-linux-su... [ 10s] [39/41] preinstalling nss... [ 10s] [40/41] preinstalling libsoftokn3... [ 10s] [41/41] preinstalling rpm... [ 10s] [ 10s] running qemu-linux-user-x86_64-cross postinstall script [ 10s] running qemu-accel-x86_64-armv7l postinstall script [ 10s] running setup postinstall script [ 10s] .init_b_cache/scripts/setup.post: line 1: syntax error near unexpected token `name' [ 10s] .init_b_cache/scripts/setup.post: line 1: `for i, name in ipairs({"passwd", "shadow", "group", "gshadow"}) do' [ 10s] initializing rpm db... [ 11s] reordering...cycle: gio-branding-upstream -> libgio [ 11s] breaking dependency libgio -> gio-branding-upstream [ 11s] cycle: girepository -> libgirepository [ 11s] breaking dependency libgirepository -> girepository [ 11s] cycle: pkgmgr-info -> pkgmgr-info-parser [ 11s] breaking dependency pkgmgr-info -> pkgmgr-info-parser [ 11s] cycle: ecore-core -> efl [ 11s] breaking dependency efl -> ecore-core [ 11s] cycle: efl -> ecore-con [ 11s] breaking dependency ecore-con -> efl [ 11s] cycle: ecore-core -> efl -> ecore-con [ 11s] breaking dependency ecore-con -> ecore-core [ 11s] cycle: efl -> ecore-con -> eet [ 11s] breaking dependency ecore-con -> eet [ 11s] cycle: efl -> ecore-con -> eina [ 11s] breaking dependency efl -> ecore-con [ 11s] cycle: efl -> eina [ 11s] breaking dependency efl -> eina [ 11s] cycle: efl -> eo [ 11s] breaking dependency eo -> efl [ 11s] cycle: efl -> eo -> eina [ 11s] breaking dependency eo -> eina [ 11s] cycle: ecore-evas -> ecore-input-evas -> evas [ 11s] breaking dependency ecore-evas -> ecore-input-evas [ 11s] cycle: ecore-evas -> evas [ 11s] breaking dependency ecore-evas -> evas [ 11s] cycle: ecore-devel -> ecore-audio-devel [ 11s] breaking dependency ecore-devel -> ecore-audio-devel [ 11s] cycle: ecore-devel -> ecore-buffer-devel [ 11s] breaking dependency ecore-devel -> ecore-buffer-devel [ 11s] cycle: ecore-devel -> ecore-con-devel [ 11s] breaking dependency ecore-devel -> ecore-con-devel [ 11s] cycle: ecore-devel -> ecore-core-devel [ 11s] breaking dependency ecore-devel -> ecore-core-devel [ 11s] cycle: ecore-devel -> ecore-evas-devel [ 11s] breaking dependency ecore-devel -> ecore-evas-devel [ 11s] cycle: ecore-devel -> ecore-fb-devel [ 11s] breaking dependency ecore-devel -> ecore-fb-devel [ 11s] cycle: ecore-devel -> ecore-file-devel [ 11s] breaking dependency ecore-devel -> ecore-file-devel [ 11s] cycle: ecore-devel -> ecore-imf-devel [ 11s] breaking dependency ecore-devel -> ecore-imf-devel [ 11s] cycle: ecore-devel -> ecore-imf-evas-devel [ 11s] breaking dependency ecore-imf-evas-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-imf-evas-devel -> ecore-imf-devel [ 11s] breaking dependency ecore-devel -> ecore-imf-evas-devel [ 11s] cycle: ecore-devel -> ecore-input-devel [ 11s] breaking dependency ecore-devel -> ecore-input-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel [ 11s] breaking dependency ecore-input-evas-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ecore-input-devel [ 11s] breaking dependency ecore-input-evas-devel -> ecore-input-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency efl-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-con-devel [ 11s] breaking dependency efl-devel -> ecore-con-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-evas-devel [ 11s] breaking dependency ecore-evas-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-evas-devel -> ecore-input-devel [ 11s] breaking dependency efl-devel -> ecore-evas-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-input-devel [ 11s] breaking dependency efl-devel -> ecore-input-devel [ 11s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-wl2-devel [ 11s] breaking dependency efl-devel -> ecore-wl2-devel [ 11s] cycle: ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency efl-devel -> ector-devel [ 11s] cycle: elementary-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-devel [ 11s] cycle: elementary-devel -> ecore-con-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-con-devel [ 11s] cycle: elementary-devel -> ecore-evas-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-evas-devel [ 11s] cycle: elementary-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-file-devel [ 11s] cycle: elementary-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-imf-devel [ 11s] cycle: elementary-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-input-devel [ 11s] cycle: elementary-devel -> ecore-wl2-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ecore-wl2-devel [ 11s] cycle: elementary-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> ector-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-audio-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-audio-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-evas-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-evas-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-file-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-imf-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-imf-evas-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-imf-evas-devel [ 11s] cycle: elementary-devel -> edje-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> edje-devel [ 11s] cycle: elementary-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> eet-devel [ 11s] cycle: elementary-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> efl-devel [ 11s] cycle: elementary-devel -> efreet-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> efreet-devel [ 11s] cycle: elementary-devel -> eio-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> eio-devel [ 11s] cycle: elementary-devel -> eldbus-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> eldbus-devel [ 11s] cycle: elementary-devel -> emile-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> emile-devel [ 11s] cycle: elementary-devel -> emotion-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> ecore-devel [ 11s] cycle: elementary-devel -> emotion-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> ecore-file-devel [ 11s] cycle: elementary-devel -> emotion-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> ector-devel [ 11s] cycle: elementary-devel -> emotion-devel -> eet-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> eet-devel [ 11s] cycle: elementary-devel -> emotion-devel -> eeze-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> eeze-devel [ 11s] cycle: elementary-devel -> emotion-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> efl-devel [ 11s] cycle: elementary-devel -> emotion-devel -> eio-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency eio-devel -> ecore-devel [ 11s] cycle: elementary-devel -> emotion-devel -> eio-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency eio-devel -> ecore-file-devel [ 11s] cycle: elementary-devel -> emotion-devel -> eio-devel -> eet-devel -> efl-devel [ 11s] breaking dependency eio-devel -> eet-devel [ 11s] cycle: elementary-devel -> emotion-devel -> eio-devel -> efl-devel [ 11s] breaking dependency emotion-devel -> eio-devel [ 11s] cycle: elementary-devel -> emotion-devel -> emile-devel -> efl-devel [ 11s] breaking dependency elementary-devel -> emotion-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> ecore-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> ecore-evas-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> ecore-evas-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> ecore-file-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> ecore-imf-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> ecore-input-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> ector-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ecore-input-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> ector-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> eet-devel -> efl-devel [ 11s] breaking dependency edje-devel -> eet-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> efl-devel [ 11s] breaking dependency edje-devel -> efl-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> efreet-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency efreet-devel -> ecore-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> efreet-devel -> ecore-con-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> edje-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> eet-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> efl-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> eldbus-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 11s] breaking dependency ecore-devel -> ecore-input-evas-devel [ 11s] cycle: ecore-devel -> ecore-ipc-devel [ 11s] breaking dependency ecore-devel -> ecore-ipc-devel [ 11s] cycle: ecore-devel -> ecore-wayland-devel [ 11s] breaking dependency ecore-wayland-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel [ 11s] breaking dependency ecore-wayland-devel -> ecore-input-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> eldbus-devel -> ecore-devel -> ecore-wayland-devel -> efl-devel [ 11s] breaking dependency ethumb-devel -> eldbus-devel [ 11s] cycle: elementary-devel -> ethumb-devel -> emile-devel -> efl-devel [ 11s] breaking dependency efl-devel -> elementary-devel [ 11s] cycle: emile-devel -> efl-devel [ 11s] breaking dependency efl-devel -> emile-devel [ 11s] cycle: efl-devel -> evas-devel -> ecore-devel -> ecore-wayland-devel [ 11s] breaking dependency evas-devel -> ecore-devel [ 11s] cycle: efl-devel -> evas-devel -> ector-devel -> eet-devel [ 11s] breaking dependency evas-devel -> ector-devel [ 11s] cycle: efl-devel -> evas-devel -> eet-devel [ 11s] breaking dependency evas-devel -> eet-devel [ 11s] cycle: efl-devel -> evas-devel [ 11s] breaking dependency evas-devel -> efl-devel [ 11s] cycle: emile-devel -> efl-devel -> evas-devel [ 11s] breaking dependency evas-devel -> emile-devel [ 11s] cycle: ecore-devel -> ecore-wl2-devel [ 11s] breaking dependency ecore-wl2-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-wl2-devel -> ecore-input-devel [ 11s] breaking dependency ecore-input-devel -> ecore-devel [ 11s] cycle: ecore-devel -> ecore-wl2-devel -> ecore-input-devel -> ecore-file-devel [ 11s] breaking dependency ecore-wl2-devel -> ecore-input-devel [ 11s] cycle: libsoftokn3 -> nss [ 11s] breaking dependency nss -> libsoftokn3 [ 11s] done [ 11s] [1/353] installing boost-license-1.71.0-2.2 [ 11s] [2/353] installing default-ac-domains-0.1-1.1 [ 11s] [3/353] installing dlog-config-persistent-logs-6.5.8-119.1 [ 11s] [4/353] installing libmagic-data-5.39-4.165 [ 12s] [5/353] installing setup-0.9-4.41 [ 12s] warning: /etc/profile created as /etc/profile.rpmnew [ 12s] [6/353] installing filesystem-3.1-4.1 [ 12s] [7/353] installing glibc-2.30-12.5 [ 12s] [8/353] installing giflib-5.2.1-1.1 [ 12s] [9/353] installing libatomic-9.2.0-13.4 [ 13s] [10/353] installing libgcc-9.2.0-13.4 [ 13s] [11/353] installing libzstd1-1.4.5-1.145 [ 13s] [12/353] installing giflib-devel-5.2.1-1.1 [ 13s] [13/353] installing bash-3.2.57-4.5 [ 14s] [14/353] installing capi-base-common-0.4.65-50.1 [ 14s] [15/353] installing cpio-2.8-5.3 [ 14s] [16/353] installing diffutils-3.3-4.3 [ 14s] [17/353] installing findutils-4.3.8-4.78 [ 14s] [18/353] installing fribidi-1.0.10-1.1 [ 15s] [19/353] installing gdbm-1.8.3-3.275 [ 16s] [20/353] installing hostname-3.23-3.3 [ 17s] [21/353] installing iniparser-4.1-1.1 [ 17s] [22/353] installing libasound-1.0.29-2.1 [ 17s] [23/353] installing libattr-2.4.48-4.194 [ 17s] [24/353] installing libblkid-2.36-7.37 [ 18s] [25/353] installing libbz2-1.0.8-4.211 [ 18s] [26/353] installing libcap-2.24-3.251 [ 18s] [27/353] installing libcares-1.17.1-7.3 [ 19s] [28/353] installing libdrm-2.4.103-1.1 [ 19s] [29/353] installing libexpat-2.2.9-3.151 [ 19s] [30/353] installing libext2fs-1.46.0-4.23 [ 20s] [31/353] installing libffi-3.3-5.4 [ 20s] [32/353] installing libfreebl3-3.34.1-3.205 [ 20s] [33/353] installing libgfortran-9.2.0-13.4 [ 21s] [34/353] installing libgomp-9.2.0-13.4 [ 21s] [35/353] installing libhyphen-2.8.8-4.1 [ 21s] [36/353] installing libitm-9.2.0-13.4 [ 22s] [37/353] installing libjpeg-8.2.2-1.2 [ 23s] [38/353] installing libjson-0.15-13.1 [ 23s] [39/353] installing libltdl-2.4.2-3.219 [ 23s] [40/353] installing liblua-5.1.5-3.164 [ 24s] [41/353] installing liblzma-5.2.5-4.120 [ 24s] [42/353] installing libogg-1.3.2-1.1 [ 24s] [43/353] installing libopenssl11-1.1.1k-5.49 [ 25s] [44/353] installing libpcre-8.44-4.34 [ 25s] [45/353] installing libpopt-1.16-3.249 [ 25s] [46/353] installing libpython-2.7.18-5.3 [ 26s] [47/353] installing libpython3_9m1_0-3.9.1-10.2 [ 26s] [48/353] installing libsmack-1.3.1-3.243 [ 26s] [49/353] installing libsmartcols-2.36-7.37 [ 27s] [50/353] installing libspeexdsp-1.1.999_1.2rc1-2.22 [ 27s] [51/353] installing libsqlite-3.33.0-4.175 [ 27s] [52/353] installing libstdc++-9.2.0-13.4 [ 31s] [53/353] installing libuuid-2.36-7.37 [ 35s] [54/353] installing libwayland-egl-1.18.92-38.3 [ 38s] [55/353] installing libwebp-1.1.0-1.1 [ 41s] [56/353] installing libxkbcommon-1.0.3-10.4 [ 43s] [57/353] installing m4-1.4.17-3.3 [ 44s] [58/353] installing net-tools-2.0_20121208git-4.4 [ 45s] [59/353] installing nspr-4.12-3.250 [ 46s] [60/353] installing patch-2.7-6.73 [ 47s] [61/353] installing pixman-0.38.4-4.9 [ 50s] [62/353] installing pkg-config-0.28-3.246 [ 50s] [63/353] installing sed-4.1c-4.2 [ 51s] [64/353] installing update-alternatives-1.20.5-3.4 [ 51s] [65/353] installing which-2.17-4.4 [ 52s] [66/353] installing xdgmime-0.0.16-2.1 [ 53s] [67/353] installing zlib-1.2.11-3.260 [ 53s] [68/353] installing shadow-utils-4.1.4.2-1.81 [ 53s] [69/353] installing build-compare-2015.04.28-3.103 [ 53s] [70/353] installing libstdc++-devel-9.2.0-13.4 [ 54s] [71/353] installing qemu-linux-user-x86_64-cross-2.7.0.1-1.3.1 [ 55s] [72/353] installing terminfo-base-full-6.2-6.27 [ 56s] [73/353] installing capi-base-common-devel-0.4.65-50.1 [ 56s] [74/353] installing cpp-9.2.0-13.4 [ 56s] [75/353] installing fribidi-devel-1.0.10-1.1 [ 56s] [76/353] installing gcc-c++-9.2.0-13.4 [ 57s] [77/353] installing libasound-devel-1.0.29-2.1 [ 57s] [78/353] installing libblkid-devel-2.36-7.37 [ 57s] [79/353] installing libffi-devel-3.3-5.4 [ 57s] [80/353] installing libjpeg-devel-8.2.2-1.2 [ 57s] [81/353] installing libuuid-devel-2.36-7.37 [ 57s] [82/353] installing libxkbcommon-devel-1.0.3-10.4 [ 57s] [83/353] installing pixman-devel-0.38.4-4.9 [ 57s] [84/353] installing sensord-dummy-4.0.54-58.1 [ 58s] [85/353] installing xz-devel-5.2.5-4.120 [ 58s] [86/353] installing binutils-2.33.1-9.27 [ 61s] [87/353] installing context-sensor-recorder-dummy-4.0.1-12.10 [ 62s] [88/353] installing coreutils-6.9-5.31 [ 62s] [89/353] installing db4-4.8.30.NC-3.251 [ 63s] [90/353] installing gawk-3.1.5-4.4 [ 63s] [91/353] installing grep-2.5.2-3.4 [ 63s] [92/353] installing libacl-2.2.53-4.193 [ 63s] [93/353] installing libcap-tools-2.24-3.251 [ 63s] [94/353] installing libcc1-9.2.0-13.4 [ 64s] [95/353] installing libelf-0.178-3.149 [ 64s] [96/353] installing libglib-2.62.3-31.7 [ 64s] [97/353] installing libmount-2.36-7.37 [ 65s] [98/353] installing libpcreposix-8.44-4.34 [ 65s] [99/353] installing libpng-1.6.37-13.5 [ 65s] [100/353] installing libubsan-9.2.0-13.4 [ 65s] [101/353] installing libvorbis-1.3.7-1.1 [ 66s] [102/353] installing lottie-player-0.2.0-70.1 [ 66s] [103/353] installing make-4.0-2.75 [ 66s] [104/353] installing minizip-1.2.11-3.260 [ 67s] [105/353] installing ninja-1.10.2-2.4 [ 67s] [106/353] installing nss-certs-3.34.1-3.205 [ 67s] [107/353] installing smack-1.3.1-3.243 [ 67s] [108/353] installing boost-system-1.71.0-2.2 [ 67s] [109/353] installing boost-thread-1.71.0-2.2 [ 67s] [110/353] installing bzip2-1.0.8-4.211 [ 67s] [111/353] installing libfdisk-2.36-7.37 [ 68s] [112/353] installing libicu-67.1-17.2 [ 69s] [113/353] installing libkmod-28-1.1 [ 69s] [114/353] installing libmagic-5.39-4.165 [ 70s] [115/353] installing libpcrecpp-8.44-4.34 [ 70s] [116/353] installing libxml2-2.9.12-7.6 [ 70s] [117/353] installing perl-5.32.0-4.97 [ 73s] [118/353] installing xz-5.2.5-4.120 [ 73s] [119/353] installing cynara-db-migration-0.17.1-19.3 [ 73s] [120/353] installing dlog-6.5.8-119.1 [ 73s] [121/353] installing ttrace-1.1.0-19.5 [ 73s] [122/353] installing libtiff-4.1.0-1.1 [ 74s] [123/353] installing build-mkbaselibs-20120927-3.3 [ 74s] [124/353] installing libicu-devel-67.1-17.2 [ 74s] [125/353] installing linux-glibc-devel-3.10-4.101 [ 75s] [126/353] installing acl-2.2.53-4.193 [ 75s] [127/353] installing autoconf-2.69-3.162 [ 75s] [128/353] installing dlog-logger-6.5.8-119.1 [ 75s] [129/353] installing file-5.39-4.165 [ 75s] [130/353] installing glibc-locale-2.30-12.5 [ 76s] [131/353] installing libgmodule-2.62.3-31.7 [ 76s] [132/353] installing libgthread-2.62.3-31.7 [ 76s] [133/353] installing libmount-devel-2.36-7.37 [ 76s] [134/353] installing tar-1.17-3.2 [ 76s] [135/353] installing tizen-platform-config-5.0-15.5 [ 78s] [136/353] installing gzip-1.3.12-3.250 [ 79s] [137/353] installing libfreetype-2.10.4-11.1 [ 80s] [138/353] installing libgobject-2.62.3-31.7 [ 81s] [139/353] installing libncurses6-6.2-6.27 [ 81s] [140/353] installing libvorbisenc-1.3.7-1.1 [ 81s] [141/353] installing lottie-player-devel-0.2.0-70.1 [ 81s] [142/353] installing pam-1.1.6-3.4 [ 82s] [143/353] installing thorvg-0.5.1-43.1 [ 82s] [144/353] installing tzdata-2020a-3.3 [ 82s] [145/353] installing libdw-0.178-3.149 [ 83s] [146/353] installing nghttp2-1.41.0-16.2 [ 83s] [147/353] installing pcre-devel-8.44-4.34 [ 83s] [148/353] installing security-config-1.0-151.1 [ 90s] groupadd: group 'dbus' already exists [ 90s] groupadd: group 'priv_appdebugging' already exists [ 90s] rm: cannot remove `/opt/share/security-config/test': No such file or directory [ 90s] [149/353] installing libarchive-3.5.1-2.46 [ 91s] [150/353] installing shared-mime-info-1.7-5.22 [ 98s] [151/353] installing gcc-9.2.0-13.4 [ 99s] [152/353] installing libncurses-6.2-6.27 [ 99s] [153/353] installing glibc-devel-2.30-12.5 [ 99s] [154/353] installing qemu-accel-x86_64-armv7l-0.4-9.2 [ 109s] [155/353] installing automake-1.15.1-3.179 [ 110s] [156/353] installing less-466-3.4 [ 110s] [157/353] installing libreadline-5.2-3.74 [ 110s] [158/353] installing libtzplatform-config-5.0-15.5 [ 110s] [159/353] installing procps-ng-3.3.16-3.4 [ 111s] [160/353] installing libasm-0.178-3.149 [ 111s] [161/353] installing build-20120927-3.3 [ 111s] [162/353] installing libsndfile-1.0.28-1.1 [ 111s] [163/353] installing libsystemd-244-87.1 [ 112s] [164/353] installing ncurses-devel-6.2-6.27 [ 112s] [165/353] installing libdlog-6.5.8-119.1 [ 112s] [166/353] installing libharfbuzz-2.6.7-10.4 [ 113s] [167/353] installing libcurl-7.73.0-29.1 [ 113s] [168/353] installing fontconfig-2.13.1-14.5 [ 113s] [169/353] installing readline-devel-5.2-3.74 [ 114s] [170/353] installing dbus-libs-1.12.20-60.5 [ 114s] [171/353] installing libcurl-devel-7.73.0-29.1 [ 114s] [172/353] installing libdlog-devel-6.5.8-119.1 [ 114s] [173/353] installing libtracker-1.0.1-4.15 [ 114s] [174/353] installing libwayland-egl-tizen-1.0.1-26.1 [ 115s] [175/353] installing zlib-devel-1.2.11-3.260 [ 115s] [176/353] installing libsndfile-devel-1.0.28-1.1 [ 115s] [177/353] installing libtool-2.4.2-3.219 [ 115s] [178/353] installing libwayland-client-1.18.92-38.3 [ 115s] [179/353] installing libwayland-server-1.18.92-38.3 [ 116s] [180/353] installing libxml2-tools-2.9.12-7.6 [ 116s] [181/353] installing lua-5.1.5-3.164 [ 116s] [182/353] installing libmm-common-0.2.127-23.1 [ 116s] [183/353] installing capi-system-sensor-0.2.5-18.1 [ 116s] [184/353] installing parcel-0.9.2-38.1 [ 117s] [185/353] installing elfutils-0.178-3.149 [ 117s] [186/353] installing libcynara-commons-0.17.1-19.3 [ 118s] [187/353] installing capi-system-info-0.5.2-28.1 [ 118s] Running capi-system-info %posttrans script [ 118s] I/O warning : failed to load external entity "/etc/config/model-config.xml" [ 118s] iniparser: cannot open /etc/info.ini [ 118s] [188/353] installing python-2.7.18-5.3 [ 120s] [189/353] installing python3-base-3.9.1-10.2 [ 122s] [190/353] installing util-linux-2.36-7.37 [ 122s] [191/353] installing systemd-244-87.1 [ 124s] update-alternatives: using /usr/lib/systemd/systemd-shutdown-original to provide /usr/lib/systemd/systemd-shutdown (systemd-shutdown) in auto mode [ 124s] update-alternatives: using /usr/sbin/reboot-original to provide /usr/sbin/reboot (reboot) in auto mode [ 124s] update-alternatives: using /usr/sbin/halt-original to provide /usr/sbin/halt (halt) in auto mode [ 124s] update-alternatives: using /usr/sbin/poweroff-original to provide /usr/sbin/poweroff (poweroff) in auto mode [ 124s] update-alternatives: using /usr/sbin/shutdown-original to provide /usr/sbin/shutdown (shutdown) in auto mode [ 124s] [192/353] installing python3-3.9.1-10.2 [ 125s] [193/353] installing dbus-devel-1.12.20-60.5 [ 125s] [194/353] installing libwayland-extension-client-1.3.23-71.1 [ 125s] [195/353] installing capi-system-info-devel-0.5.2-28.1 [ 125s] [196/353] installing libopenssl1.1-devel-1.1.1k-5.49 [ 125s] [197/353] installing libwayland-egl-tizen-devel-1.0.1-26.1 [ 125s] [198/353] installing lua-devel-5.1.5-3.164 [ 125s] [199/353] installing pkgmgr-0.13.4-45.1 [ 126s] Running pkgmgr %posttrans script [ 126s] /var/tmp/rpm-tmp.jCB5OV: line 4: pkg_initdb: command not found [ 126s] /var/tmp/rpm-tmp.jCB5OV: line 5: install_preload_pkg: command not found [ 126s] /var/tmp/rpm-tmp.jCB5OV: line 12: pkgcmd: command not found [ 126s] /var/tmp/rpm-tmp.jCB5OV: line 14: /etc/package-manager/pkgmgr-label-initial-image.sh: No such file or directory [ 126s] [200/353] installing systemd-devel-244-87.1 [ 126s] [201/353] installing libcynara-client-0.17.1-19.3 [ 126s] [202/353] installing libcynara-creds-commons-0.17.1-19.3 [ 127s] [203/353] installing libcynara-session-0.17.1-19.3 [ 127s] [204/353] installing thorvg-devel-0.5.1-43.1 [ 128s] [205/353] installing util-linux-su-2.36-7.37 [ 128s] [206/353] installing libwayland-cursor-1.18.92-38.3 [ 128s] [207/353] installing python-devel-2.7.18-5.3 [ 129s] [208/353] installing libpng-devel-1.6.37-13.5 [ 129s] [209/353] installing libpulse-13.0-75.1 [ 129s] [210/353] installing libxml2-devel-2.9.12-7.6 [ 129s] [211/353] installing cmake-3.16.4-4.2 [ 130s] [212/353] installing freetype2-devel-2.10.4-11.1 [ 130s] [213/353] installing libcynara-creds-socket-0.17.1-19.3 [ 130s] [214/353] installing libpulse-mainloop-glib-13.0-75.1 [ 131s] [215/353] installing wayland-devel-1.18.92-38.3 [ 131s] [216/353] installing wayland-extension-client-devel-1.3.23-71.1 [ 131s] [217/353] installing fontconfig-devel-2.13.1-14.5 [ 131s] [218/353] installing eo-1.25.1-211.1 [ 131s] [219/353] installing nss-3.34.1-3.205 [ 132s] [220/353] installing libgio-2.62.3-31.7 [ 132s] [221/353] installing gio-branding-upstream-2.62.3-31.7 [ 132s] [222/353] installing libjson-glib-1.6.0-9.3 [ 133s] [223/353] installing libsoftokn3-3.34.1-3.205 [ 133s] [224/353] installing glib2-tools-2.62.3-31.7 [ 133s] [225/353] installing hal-api-common-0.0.1-29.1 [ 133s] /opt/etc/hal: No such file or directory [ 133s] /opt/etc/hal: No such file or directory [ 133s] Failed to open '/usr/lib/tmpfiles.d/hal-rpmdb-checker.conf': No such file or directory [ 133s] warning: %post(hal-api-common-0.0.1-29.1.armv7l) scriptlet failed, exit status 1 [ 133s] [226/353] installing libsyscommon-4.1-41.1 [ 134s] [227/353] installing efl-1.25.1-211.1 [ 134s] [228/353] installing libgirepository-1.66.0-6.2 [ 135s] [229/353] installing klay-0.0.2-30.13 [ 135s] [230/353] installing buxton2-1.7.2-39.4 [ 136s] Running buxton2 %posttrans script [ 136s] chmod: cannot access `/etc/buxton2/*': No such file or directory [ 136s] /etc/buxton2/*: No such file or directory [ 136s] chmod: cannot access `/var/lib/buxton2/*': No such file or directory [ 136s] /var/lib/buxton2/*: No such file or directory [ 136s] [231/353] installing rpm-4.14.1.1-8.34 [ 137s] [232/353] installing girepository-1.66.0-6.2 [ 137s] [233/353] installing eina-1.25.1-211.1 [ 137s] [234/353] installing hal-api-device-1.0.0-10.1 [ 137s] [235/353] installing hal-api-tbm-0.0.5-5.1 [ 139s] [236/353] installing vconf-compat-1.7.2-39.4 [ 139s] [237/353] installing bundle-0.9.2-38.1 [ 140s] [238/353] installing glib2-devel-2.62.3-31.7 [ 140s] [239/353] installing rpm-build-4.14.1.1-8.34 [ 140s] [240/353] installing bundle-devel-0.9.2-38.1 [ 140s] [241/353] installing eina-devel-1.25.1-211.1 [ 140s] [242/353] installing embryo-1.25.1-211.1 [ 141s] [243/353] installing libpulse-devel-13.0-75.1 [ 141s] [244/353] installing ector-1.25.1-211.1 [ 141s] [245/353] installing harfbuzz-devel-2.6.7-10.4 [ 142s] [246/353] installing ecore-core-1.25.1-211.1 [ 142s] [247/353] installing emile-1.25.1-211.1 [ 142s] [248/353] installing libdpm-0.0.1-13.1 [ 142s] [249/353] installing capi-system-runtime-info-0.5.2-24.2 [ 143s] [250/353] installing gstreamer-1.16.2-29.2 [ 143s] [251/353] installing libnet-client-1.2.7-45.1 [ 143s] [252/353] installing capi-system-device-0.1.0-64.1 [ 143s] [253/353] installing libstorage-1.0.0-33.1 [ 144s] [254/353] installing libtbm-4.1.10-84.1 [ 144s] [255/353] installing libmm-sound-0.13.13-79.1 [ 145s] [256/353] installing pkgmgr-info-0.21.7-72.1 [ 145s] [257/353] installing capi-system-device-devel-0.1.0-64.1 [ 145s] [258/353] installing eo-devel-1.25.1-211.1 [ 145s] [259/353] installing libtbm-devel-4.1.10-84.1 [ 145s] [260/353] installing ecore-imf-1.25.1-211.1 [ 145s] [261/353] installing libwayland-tbm-client-0.8.6-45.1 [ 145s] [262/353] installing capi-media-tool-0.1.50-31.1 [ 146s] [263/353] installing ecore-audio-1.25.1-211.1 [ 146s] [264/353] installing hal-api-tdm-0.0.3-5.1 [ 146s] [265/353] installing libwayland-tbm-server-0.8.6-45.1 [ 147s] [266/353] installing pkgmgr-info-parser-0.21.7-72.1 [ 147s] [267/353] installing ecore-buffer-1.25.1-211.1 [ 147s] [268/353] installing eet-1.25.1-211.1 [ 147s] [269/353] installing eldbus-1.25.1-211.1 [ 148s] [270/353] installing capi-network-connection-1.0.124-45.1 [ 148s] [271/353] installing ecore-con-1.25.1-211.1 [ 148s] [272/353] installing capi-media-sound-manager-0.6.37-67.1 [ 148s] [273/353] installing pkgmgr-installer-0.13.4-45.1 [ 149s] [274/353] installing pkgmgr-client-0.13.4-45.1 [ 149s] [275/353] installing mused-0.3.139-132.1 [ 150s] [276/353] installing capi-media-sound-manager-devel-0.6.37-67.1 [ 150s] [277/353] installing capi-network-connection-devel-1.0.124-45.1 [ 150s] [278/353] installing capi-media-tool-devel-0.1.50-31.1 [ 150s] [279/353] installing libwayland-tbm-devel-0.8.6-45.1 [ 150s] [280/353] installing ecore-file-1.25.1-211.1 [ 150s] [281/353] installing ecore-ipc-1.25.1-211.1 [ 150s] [282/353] installing libmm-display-interface-0.0.12-12.1 [ 150s] [283/353] installing capi-media-audio-io-0.5.43-46.1 [ 150s] [284/353] installing libtdm-3.0.5-106.4 [ 151s] [285/353] installing aul-0.42.1-179.1 [ 151s] [286/353] installing libtdm-devel-3.0.5-106.4 [ 151s] [287/353] installing capi-media-audio-io-devel-0.5.43-46.1 [ 151s] [288/353] installing libtdm-client-3.0.5-106.4 [ 151s] [289/353] installing capi-appfw-app-manager-0.12.0-23.2 [ 152s] [290/353] installing eeze-1.25.1-211.1 [ 152s] [291/353] installing efreet-1.25.1-211.1 [ 152s] [292/353] installing capi-media-player-0.3.146-86.1 [ 153s] [293/353] installing rpc-port-1.12.4-82.1 [ 153s] [294/353] installing libtdm-client-devel-3.0.5-106.4 [ 153s] [295/353] installing capi-media-player-devel-0.3.146-86.1 [ 153s] [296/353] installing ecore-input-1.25.1-211.1 [ 153s] [297/353] installing eio-1.25.1-211.1 [ 154s] [298/353] installing liblbs-location-1.4.7-20.2 [ 154s] [299/353] installing libtpl-egl-1.8.13-26.1 [ 154s] [300/353] installing tts-1.65.8-56.1 [ 155s] [301/353] installing tts-devel-1.65.8-56.1 [ 155s] [302/353] installing coregl-0.2.0-16.8 [ 155s] [303/353] installing ecore-fb-1.25.1-211.1 [ 155s] [304/353] installing capi-location-manager-0.8.2-20.3 [ 156s] [305/353] installing ecore-wayland-1.25.1-211.1 [ 156s] [306/353] installing ecore-wl2-1.25.1-211.1 [ 156s] [307/353] installing capi-location-manager-devel-0.8.2-20.3 [ 156s] [308/353] installing coregl-devel-0.2.0-16.8 [ 156s] [309/353] installing ecore-evas-1.25.1-211.1 [ 157s] [310/353] installing evas-1.25.1-211.1 [ 157s] [311/353] installing ecore-imf-evas-1.25.1-211.1 [ 157s] [312/353] installing ecore-input-evas-1.25.1-211.1 [ 157s] [313/353] installing libcairo-1.14.2-14.5 [ 157s] [314/353] installing evas-devel-1.25.1-211.1 [ 158s] [315/353] installing efl-devel-1.25.1-211.1 [ 158s] [316/353] installing edje-1.25.1-211.1 [ 158s] [317/353] installing libcairo-script-interpreter-1.14.2-14.5 [ 158s] [318/353] installing libcairo-gobject-1.14.2-14.5 [ 159s] [319/353] installing emile-devel-1.25.1-211.1 [ 159s] [320/353] installing emotion-1.25.1-211.1 [ 159s] [321/353] installing ecore-wl2-devel-1.25.1-211.1 [ 159s] [322/353] installing ecore-wayland-devel-1.25.1-211.1 [ 159s] [323/353] installing edje-tools-1.25.1-211.1 [ 159s] [324/353] installing eet-devel-1.25.1-211.1 [ 159s] [325/353] installing ethumb-1.25.1-211.1 [ 160s] [326/353] installing emotion-devel-1.25.1-211.1 [ 160s] [327/353] installing ecore-devel-1.25.1-211.1 [ 160s] [328/353] installing ecore-core-devel-1.25.1-211.1 [ 160s] [329/353] installing embryo-devel-1.25.1-211.1 [ 160s] [330/353] installing ecore-audio-devel-1.25.1-211.1 [ 160s] [331/353] installing ecore-buffer-devel-1.25.1-211.1 [ 160s] [332/353] installing ector-devel-1.25.1-211.1 [ 160s] [333/353] installing eldbus-devel-1.25.1-211.1 [ 160s] [334/353] installing ethumb-devel-1.25.1-211.1 [ 160s] [335/353] installing elementary-1.25.1-211.1 [ 161s] [336/353] installing ecore-con-devel-1.25.1-211.1 [ 161s] [337/353] installing ecore-input-evas-devel-1.25.1-211.1 [ 161s] [338/353] installing capi-ui-efl-util-0.7.7-22.1 [ 161s] [339/353] installing elementary-devel-1.25.1-211.1 [ 161s] [340/353] installing ecore-file-devel-1.25.1-211.1 [ 161s] [341/353] installing ecore-ipc-devel-1.25.1-211.1 [ 161s] [342/353] installing efl-extension-0.1.7-77.2 [ 162s] [343/353] installing efl-extension-devel-0.1.7-77.2 [ 162s] [344/353] installing eeze-devel-1.25.1-211.1 [ 162s] [345/353] installing efreet-devel-1.25.1-211.1 [ 162s] [346/353] installing ecore-input-devel-1.25.1-211.1 [ 162s] [347/353] installing eio-devel-1.25.1-211.1 [ 162s] [348/353] installing ecore-fb-devel-1.25.1-211.1 [ 162s] [349/353] installing ecore-imf-devel-1.25.1-211.1 [ 162s] [350/353] installing ecore-evas-devel-1.25.1-211.1 [ 162s] [351/353] installing edje-devel-1.25.1-211.1 [ 162s] [352/353] installing ecore-imf-evas-devel-1.25.1-211.1 [ 162s] [353/353] installing cairo-devel-1.14.2-14.5 [ 162s] removing nis flags from /var/cache/build/root_1/etc/nsswitch.conf... [ 162s] now finalizing build dir... [ 163s] Running build time source services... [ 163s] build target is armv7l-tizen-linux [ 163s] ----------------------------------------------------------------- [ 163s] I have the following modifications for lightweight-web-engine.spec: [ 163s] 23c23 [ 163s] < Release: 1 [ 163s] --- [ 163s] > Release: 86.7 [ 163s] ----------------------------------------------------------------- [ 163s] ----- building lightweight-web-engine.spec (user abuild) [ 163s] ----------------------------------------------------------------- [ 163s] ----------------------------------------------------------------- [ 163s] + exec rpmbuild --define '_srcdefattr (-,root,root)' --nosignature --target=armv7l-tizen-linux --define '_build_create_debug 1' --define 'disturl obs://build.tizen.org/Tizen:Unified/standard/bf457a4fff7ce5749140427ed3b51dfe-lightweight-web-engine' -ba /home/abuild/rpmbuild/SOURCES/lightweight-web-engine.spec [ 163s] warning: Macro expanded in comment on line 27: %arm [ 163s] [ 163s] warning: Macro expanded in comment on line 36: %{?tizen_profile_name:1}%{!?tizen_profile_name:0} [ 163s] [ 163s] warning: Macro expanded in comment on line 37: %define profile %{tizen_profile_name} [ 163s] [ 163s] warning: Macro expanded in comment on line 39: %define profile undefined [ 163s] [ 163s] warning: Macro expanded in comment on line 105: %{?TIZEN_PRODUCT_TV}" == "1" [ 163s] [ 163s] warning: Macro expanded in comment on line 106: %define profile tv [ 163s] [ 163s] warning: Macro expanded in comment on line 108: %{?TIZEN_PRODUCT_MOBILE}" == "1" [ 163s] [ 163s] warning: Macro expanded in comment on line 109: %define profile mobile [ 163s] [ 163s] warning: Macro expanded in comment on line 111: %{?TIZEN_PRODUCT_WEARABLE}" == "1" [ 163s] [ 163s] warning: Macro expanded in comment on line 112: %define profile wearable [ 163s] [ 163s] warning: Macro expanded in comment on line 115: %define profile undefined [ 163s] [ 163s] Building target platforms: armv7l-tizen-linux [ 163s] Building for target armv7l-tizen-linux [ 163s] Executing(%prep): /bin/sh -e /var/tmp/rpm-tmp.pFzO66 [ 163s] + umask 022 [ 163s] + cd /home/abuild/rpmbuild/BUILD [ 163s] + cd /home/abuild/rpmbuild/BUILD [ 163s] + rm -rf lightweight-web-engine-1.0.0 [ 163s] + /bin/gzip -dc /home/abuild/rpmbuild/SOURCES/lightweight-web-engine-1.0.0.tar.gz [ 163s] + /bin/tar -xof - [ 164s] + STATUS=0 [ 164s] + '[' 0 -ne 0 ']' [ 164s] + cd lightweight-web-engine-1.0.0 [ 164s] + /bin/chmod -Rf a+rX,u+w,g-w,o-w . [ 165s] + exit 0 [ 165s] Executing(%build): /bin/sh -e /var/tmp/rpm-tmp.3e9Szb [ 165s] + umask 022 [ 165s] + cd /home/abuild/rpmbuild/BUILD [ 165s] + cd lightweight-web-engine-1.0.0 [ 165s] ++ uname -m [ 165s] + [[ armv7l == \a\a\r\c\h\6\4 ]] [ 165s] + LANG=C [ 165s] + export LANG [ 165s] + unset DISPLAY [ 165s] + CFLAGS='-O2 -g2 -pipe -Wall -Wp,-D_FORTIFY_SOURCE=2 -fexceptions -fstack-protector-strong -Wformat-security -fmessage-length=0 -frecord-gcc-switches -Wl,-z,relro,--as-needed --param=ssp-buffer-size=4 -march=armv7-a -mtune=cortex-a8 -mlittle-endian -mfpu=neon -mfloat-abi=softfp -mthumb -Wp,-D__SOFTFP__ -Wl,-O1 -Wl,--hash-style=gnu -Wa,-mimplicit-it=thumb -g' [ 165s] + export CFLAGS [ 165s] + CXXFLAGS='-O2 -g2 -pipe -Wall -Wp,-D_FORTIFY_SOURCE=2 -fexceptions -fstack-protector-strong -Wformat-security -fmessage-length=0 -frecord-gcc-switches -Wl,-z,relro,--as-needed --param=ssp-buffer-size=4 -march=armv7-a -mtune=cortex-a8 -mlittle-endian -mfpu=neon -mfloat-abi=softfp -mthumb -Wp,-D__SOFTFP__ -Wl,-O1 -Wl,--hash-style=gnu -Wa,-mimplicit-it=thumb -g' [ 165s] + export CXXFLAGS [ 165s] + FFLAGS='-O2 -g2 -pipe -Wall -Wp,-D_FORTIFY_SOURCE=2 -fexceptions -fstack-protector-strong -Wformat-security -fmessage-length=0 -frecord-gcc-switches -Wl,-z,relro,--as-needed --param=ssp-buffer-size=4 -march=armv7-a -mtune=cortex-a8 -mlittle-endian -mfpu=neon -mfloat-abi=softfp -mthumb -Wp,-D__SOFTFP__ -Wl,-O1 -Wl,--hash-style=gnu -Wa,-mimplicit-it=thumb -g -I%_fmoddir' [ 165s] + export FFLAGS [ 165s] + LDFLAGS= [ 165s] + export LDFLAGS [ 165s] + echo 'Building for: ' all [ 165s] Building for: all [ 165s] + CXXFLAGS+=' -DSTARFISH_TIZEN_MAJOR_VERSION=6 ' [ 165s] + CXXFLAGS+=' -DSTARFISH_TIZEN_VERSION_6_5 ' [ 165s] + rm -f CMakeCache.txt [ 165s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DUSE_EMBEDDED_IMAGE_DECODER=0 -DMODE=release -DHOST=tizen -DARCH=arm -DCUSTOM=unified_tv -DBACKEND=dali -DLTO=1 -DTARGETNAME=lightweight-web-engine-dali-plugin.tv -G Ninja [ 165s] -- The C compiler identification is GNU 9.2.0 [ 165s] -- The CXX compiler identification is GNU 9.2.0 [ 165s] -- Check for working C compiler: /bin/cc [ 165s] -- Check for working C compiler: /bin/cc -- works [ 165s] -- Detecting C compiler ABI info [ 165s] -- Detecting C compiler ABI info - done [ 165s] -- Detecting C compile features [ 165s] -- Detecting C compile features - done [ 165s] -- Check for working CXX compiler: /bin/c++ [ 165s] -- Check for working CXX compiler: /bin/c++ -- works [ 165s] -- Detecting CXX compiler ABI info [ 165s] -- Detecting CXX compiler ABI info - done [ 165s] -- Detecting CXX compile features [ 165s] -- Detecting CXX compile features - done [ 166s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 166s] -- Checking for modules 'dlog;libpng;freetype2;fontconfig;harfbuzz;elementary;ecore' [ 166s] -- Found dlog, version 1.0 [ 166s] -- Found libpng, version 1.6.37 [ 166s] -- Found freetype2, version 23.4.17 [ 166s] -- Found fontconfig, version 2.13.1 [ 167s] -- Found harfbuzz, version 2.6.7 [ 167s] -- Found elementary, version 1.25.1 [ 167s] -- Found ecore, version 1.25.1 [ 169s] -- Checking for module 'cairo' [ 169s] -- Found cairo, version 1.14.2 [ 170s] -- Checking for modules 'capi-network-connection;capi-media-player;capi-media-audio-io' [ 170s] -- Found capi-network-connection, version [ 170s] -- Found capi-media-player, version [ 170s] -- Found capi-media-audio-io, version [ 171s] -- Looking for cap_set_flag in cap [ 171s] -- Looking for cap_set_flag in cap - not found [ 171s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 171s] -- Escargot Build Version: v3.0.0 [ 171s] -- Checking for module 'dlog' [ 171s] -- Found dlog, version 1.0 [ 172s] -- Starfish [ 172s] -- FLAGS: -std=c++11-g3-Wall-Wextra-Werror-Wno-unused-parameter-Wno-unused-result-Wno-unused-variable-Wno-unused-function-Wno-maybe-uninitialized-Wno-deprecated-declarations-Wno-type-limits-fno-math-errno-fdata-sections-ffunction-sections-Wno-invalid-offsetof-fvisibility=hidden-fno-omit-frame-pointer-fstack-protector-fPIC-frounding-math-fsignaling-nans-Wno-unused-but-set-variable-Wno-unused-but-set-parameter-Wno-attributes-Wno-class-memaccess-Wno-deprecated-copy-Wno-cast-function-type-Wno-stringop-truncation-Wno-pessimizing-move-Wno-format-nonliteral-O2-flto-O2-g2-pipe-Wall-Wp,-D_FORTIFY_SOURCE=2-fexceptions-fstack-protector-strong-Wformat-security-fmessage-length=0-frecord-gcc-switches-Wl,-z,relro,--as-needed--param=ssp-buffer-size=4-march=armv7-a-mtune=cortex-a8-mlittle-endian-mfpu=neon-mfloat-abi=softfp-mthumb-Wp,-D__SOFTFP__-Wl,-O1-Wl,--hash-style=gnu-Wa,-mimplicit-it=thumb-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_5 [ 172s] -- LIBRARIES: clipperescargotmp4parsewebmskia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/out_tizen/unified_tv/release/lib/libtuv.sopthreadcurlsslcryptojpeggifrtdlcapi-location-manager-Wl,-soname,liblightweight-web-engine-dali-plugin.so.1websocketsdlogpng16zfontconfigfreetypeharfbuzzelementaryecore_evasecore_fileecore_imfecore_inputecore_conedjeevasectorluameldbusethumb_clientethumbemotionefreeteioeetemileecoreefleoeinapthreadmrtdlcairocapi-network-connectioncapi-media-playercapi-media-tooltbmcapi-media-audio-iocapi-media-sound-managercapi-base-common [ 172s] -- DEFINITIONS: -DSTARFISH_TIZEN-DSTARFISH_TIZEN_OBS-DTIZEN_DEVICE_API-DSIZE_MAX=0xffffffff-DSTARFISH_ENABLE_ANIMATION-DSTARFISH_ENABLE_RUNTIME_ICU_BINDER-DSTARFISH_ENABLE_MULTI_THREAD_IMAGE_DECODING-DSTARFISH_TIZEN_TV-DSTARFISH_TIZEN_CAPI_LOCATION_MANAGER_ENABLED-DSTARFISH_TIZEN_USERAPP_SDK_API_ONLY-DNDEBUG-DSTARFISH_DALI [ 172s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 172s] -- INCLUDE_DIRS: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/inc/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/rapidjson/include/usr/include/elementary-1/usr/include/ecore-wl2-1/usr/include/wayland-extension/usr/include/ethumb-client-1/usr/include/ethumb-1/usr/include/edje-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-imf-evas-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/embryo-1/usr/include/ecore-audio-1/usr/include/emotion-1/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/efreet-1/usr/include/eio-1/usr/include/efreet-1/usr/include/ecore-file-1/usr/include/ecore-ipc-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/cairo/usr/include/pixman-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/libpng16/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/MP4Parse/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webm/usr/include/dali/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libtuv/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libtuv/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/bdwgc/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/src/api/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/runtime_icu_binder/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsg/dist/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsgcpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/clipper/cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/earcut.hpp/include/mapbox/usr/include/network/usr/include/media/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/deviceapi/src//usr/include/dlog/usr/include/location/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/include/core/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/include [ 172s] -- Configuring done [ 172s] -- Generating done [ 172s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 172s] + ninja starfish.shared_library [ 173s] [1/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMallocPixelRef.cpp.o [ 173s] [2/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/ports/SkDebug_stdio.cpp.o [ 173s] [3/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkUtils.cpp.o [ 173s] [4/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/ports/SkMemory_malloc.cpp.o [ 173s] [5/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMath.cpp.o [ 173s] [6/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkPoint.cpp.o [ 174s] [7/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MFRO.cpp.o [ 174s] [8/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SCHM.cpp.o [ 174s] [9/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.CO64.cpp.o [ 174s] [10/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FRMA.cpp.o [ 174s] [11/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FREE.cpp.o [ 174s] [12/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSD.cpp.o [ 174s] [13/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SDTP.cpp.o [ 174s] [14/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STDP.cpp.o [ 174s] [15/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSC.cpp.o [ 174s] [16/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.PDIN.cpp.o [ 174s] [17/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IMIF.cpp.o [ 174s] [18/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MVHD.cpp.o [ 174s] [19/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IPMC.cpp.o [ 174s] [20/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SMHD.cpp.o [ 174s] [21/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.BXML.cpp.o [ 174s] [22/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SBGP.cpp.o [ 174s] [23/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MP4A.cpp.o [ 174s] [24/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SGPD.cpp.o [ 174s] [25/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STCO.cpp.o [ 174s] [26/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkStringUtils.cpp.o [ 174s] [27/1201] Building CXX object CMakeFiles/webm.dir/third_party/webm/webvtt/webvttparser.cc.o [ 174s] [28/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SCHI.cpp.o [ 174s] [29/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ESDS.cpp.o [ 174s] [30/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ContainerAtom.cpp.o [ 174s] [31/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkRect.cpp.o [ 174s] [32/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.PITM.cpp.o [ 174s] [33/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.PADB.cpp.o [ 174s] [34/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ELST.cpp.o [ 174s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 174s] from third_party/MP4Parse/source/include/stl.h:41, [ 174s] from third_party/MP4Parse/source/include/mp4.h:37, [ 174s] from third_party/MP4Parse/source/include/MP4.ELST.h:35, [ 174s] from third_party/MP4Parse/source/MP4.ELST.cpp:32: [ 174s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {long long unsigned int&, long long int&}; _Tp = MP4::ELST::EditEntry; _Alloc = std::allocator]': [ 174s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 174s] 426 | vector<_Tp, _Alloc>:: [ 174s] | ^~~~~~~~~~~~~~~~~~~ [ 174s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::emplace_back(_Args&& ...) [with _Args = {long long unsigned int&, long long int&}; _Tp = MP4::ELST::EditEntry; _Alloc = std::allocator]': [ 174s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:121:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 174s] 121 | _M_realloc_insert(end(), std::forward<_Args>(__args)...); [ 174s] | ^~~~~~~~~~~~~~~~~ [ 174s] [35/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FTYP.cpp.o [ 174s] [36/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MEHD.cpp.o [ 174s] [37/1201] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkString.cpp.o [ 174s] [38/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.BinaryStream.cpp.o [ 174s] [39/1201] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.Parser.cpp.o [ 174s] [40/1201] Building CXX object 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[with _Args = {const long long int&}; _Tp = long long int; _Alloc = std::allocator]': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector >::iterator' {aka '__gnu_cxx::__normal_iterator > >'} changed in GCC 7.1 [ 180s] 426 | vector<_Tp, _Alloc>:: [ 180s] | ^~~~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector >::iterator' {aka '__gnu_cxx::__normal_iterator > >'} changed in GCC 7.1 [ 180s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 180s] from third_party/clipper/cpp/clipper.hpp:52, [ 180s] from third_party/clipper/cpp/clipper.cpp:41: [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In member function 'void ClipperLib::Clipper::InsertScanbeam(ClipperLib::cInt)': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator > >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 180s] from third_party/clipper/cpp/clipper.hpp:52, [ 180s] from third_party/clipper/cpp/clipper.cpp:41: [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {ClipperLib::IntPoint}; _Tp = ClipperLib::IntPoint; _Alloc = std::allocator]': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 180s] 426 | vector<_Tp, _Alloc>:: [ 180s] | ^~~~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::emplace_back(_Args&& ...) [with _Args = {ClipperLib::IntPoint}; _Tp = ClipperLib::IntPoint; _Alloc = std::allocator]': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:121:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 121 | _M_realloc_insert(end(), std::forward<_Args>(__args)...); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 180s] from third_party/clipper/cpp/clipper.hpp:52, [ 180s] from third_party/clipper/cpp/clipper.cpp:41: [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In member function 'void ClipperLib::ClipperOffset::OffsetPoint(int, int&, ClipperLib::JoinType)': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In function 'void ClipperLib::Minkowski(const Path&, const Path&, ClipperLib::Paths&, bool, bool)': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 180s] from third_party/clipper/cpp/clipper.hpp:52, [ 180s] from third_party/clipper/cpp/clipper.cpp:41: [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {ClipperLib::DoublePoint}; _Tp = ClipperLib::DoublePoint; _Alloc = std::allocator]': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 180s] 426 | vector<_Tp, _Alloc>:: [ 180s] | ^~~~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::emplace_back(_Args&& ...) [with _Args = {ClipperLib::DoublePoint}; _Tp = ClipperLib::DoublePoint; _Alloc = std::allocator]': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:121:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 121 | _M_realloc_insert(end(), std::forward<_Args>(__args)...); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 180s] from third_party/clipper/cpp/clipper.hpp:52, [ 180s] from third_party/clipper/cpp/clipper.cpp:41: [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In member function 'void ClipperLib::ClipperOffset::DoOffset(double)': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 180s] 1195 | _M_realloc_insert(end(), __x); [ 180s] | ^~~~~~~~~~~~~~~~~ [ 180s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/queue:62, [ 180s] from third_party/clipper/cpp/clipper.hpp:59, [ 180s] from third_party/clipper/cpp/clipper.cpp:41: [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h: In function 'void std::__adjust_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator > >; _Distance = int; _Tp = long long int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 180s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h:214:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator > >' changed in GCC 7.1 [ 180s] 214 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, [ 180s] | ^~~~~~~~~~~~~ [ 180s] [116/1201] Linking CXX shared library out_tizen/unified_tv/release/lib/libclipper.so [ 180s] [117/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinIntl.cpp.o [ 181s] [118/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/debugger/Debugger.cpp.o [ 181s] [119/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/heap/CustomAllocator.cpp.o [ 181s] [120/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/ASTAllocator.cpp.o [ 181s] [121/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/ast/Node.cpp.o [ 182s] [122/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BackingStore.cpp.o [ 182s] [123/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ToStringRecursionPreventer.cpp.o [ 182s] [124/1201] Building C object third_party/escargot/CMakeFiles/libbf.dir/third_party/libbf/libbf.c.o [ 182s] [125/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Environment.cpp.o [ 182s] [126/1201] Linking C static library out_tizen/unified_tv/release/lib/liblibbf.a [ 182s] [127/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArrayBufferObject.cpp.o [ 182s] [128/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArrayBuffer.cpp.o [ 182s] [129/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlPluralRules.cpp.o [ 182s] [130/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinRegExp.cpp.o [ 182s] [131/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/AsyncFromSyncIteratorObject.cpp.o [ 183s] [132/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArgumentsObject.cpp.o [ 183s] [133/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinArray.cpp.o [ 183s] [134/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BooleanObject.cpp.o [ 183s] [135/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/AtomicString.cpp.o [ 183s] [136/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BigInt.cpp.o [ 183s] [137/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BigIntObject.cpp.o [ 183s] [138/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlRelativeTimeFormat.cpp.o [ 183s] [139/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlCollator.cpp.o [ 183s] [140/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinTypedArray.cpp.o [ 183s] [141/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/CodeBlock.cpp.o [ 184s] [142/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/AsyncGeneratorObject.cpp.o [ 184s] [143/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/ScriptParser.cpp.o [ 184s] [144/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArrayObject.cpp.o [ 184s] [145/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinJSON.cpp.o [ 184s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 184s] from third_party/escargot/src/Escargot.h:223, [ 184s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In static member function 'static bool Escargot::builtinJSONStringify(Escargot::ExecutionState&, Escargot::Value, size_t, Escargot::Value*, Escargot::Optional)::::_FUN(Escargot::ExecutionState&, Escargot::Object*, const Escargot::ObjectPropertyName&, const Escargot::ObjectStructurePropertyDescriptor&, void*)': [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1195 | _M_realloc_insert(end(), __x); [ 184s] | ^~~~~~~~~~~~~~~~~ [ 184s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 184s] from third_party/escargot/src/Escargot.h:202, [ 184s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'Escargot::Value Escargot::builtinJSONStringify(Escargot::ExecutionState&, Escargot::Value, size_t, Escargot::Value*, Escargot::Optional)': [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1967:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1967 | std::__introsort_loop(__first, __last, [ 184s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 184s] 1968 | std::__lg(__last - __first) * 2, [ 184s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 184s] 1969 | __comp); [ 184s] | ~~~~~~~ [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1884:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1884 | std::__insertion_sort(__first, __first + int(_S_threshold), __comp); [ 184s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1889:23: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1889 | std::__insertion_sort(__first, __last, __comp); [ 184s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ [ 184s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 184s] from third_party/escargot/src/Escargot.h:223, [ 184s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const long long unsigned int&}; _Tp = long long unsigned int; _Alloc = std::allocator]': [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 184s] 426 | vector<_Tp, _Alloc>:: [ 184s] | ^~~~~~~~~~~~~~~~~~~ [ 184s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 184s] from third_party/escargot/src/Escargot.h:202, [ 184s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__introsort_loop(_RandomAccessIterator, _RandomAccessIterator, _Size, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Size = int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1939 | __introsort_loop(_RandomAccessIterator __first, [ 184s] | ^~~~~~~~~~~~~~~~ [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1953:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1953 | std::__introsort_loop(__cut, __last, __depth_limit, __comp); [ 184s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__insertion_sort(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 1839 | __insertion_sort(_RandomAccessIterator __first, [ 184s] | ^~~~~~~~~~~~~~~~ [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:61, [ 184s] from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 184s] from third_party/escargot/src/Escargot.h:202, [ 184s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h: In function 'void std::__adjust_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Distance = int; _Tp = long long unsigned int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 184s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h:214:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 184s] 214 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, [ 184s] | ^~~~~~~~~~~~~ [ 184s] [146/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Global.cpp.o [ 184s] [147/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/CompressibleString.cpp.o [ 184s] [148/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinString.cpp.o [ 184s] [149/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Context.cpp.o [ 184s] [150/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BoundFunctionObject.cpp.o [ 184s] [151/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectStructurePropertyDescriptor.cpp.o [ 185s] [152/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ExecutionState.cpp.o [ 185s] [153/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlLocale.cpp.o [ 185s] [154/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/interpreter/ByteCode.cpp.o [ 185s] [155/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/FinalizationRegistryObject.cpp.o [ 185s] [156/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IEEE754.cpp.o [ 185s] third_party/escargot/src/runtime/IEEE754.cpp: In function 'double Escargot::ieee754::ceil(double)': [ 185s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 185s] 86 | #define __LO(x) *(int *)&x [ 185s] | ^~~~~~~~~ [ 185s] 87 | #define __HIp(x) *(1 + (int *)x) [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 88 | #define __LOp(x) *(int *)x [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 89 | [ 185s] | [ 185s] 90 | #else [ 185s] | ~~~~~ [ 185s] 91 | [ 185s] | [ 185s] 92 | typedef union { [ 185s] | ~~~~~~~~~~~~~~~ [ 185s] 93 | double value; [ 185s] | ~~~~~~~~~~~~~ [ 185s] 94 | struct { [ 185s] | ~~~~~~~~ [ 185s] 95 | uint32_t msw; [ 185s] | ~~~~~~~~~~~~~ [ 185s] 96 | uint32_t lsw; [ 185s] | ~~~~~~~~~~~~~ [ 185s] 97 | } parts; [ 185s] | ~~~~~~~~ [ 185s] 98 | struct { [ 185s] | ~~~~~~~~ [ 185s] 99 | uint64_t w; [ 185s] | ~~~~~~~~~~~ [ 185s] 100 | } xparts; [ 185s] | ~~~~~~~~~ [ 185s] 101 | } ieee_double_shape_type; [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 102 | [ 185s] | [ 185s] 103 | #define __HI(x) *(int *)&x [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 104 | #define __LO(x) *(1 + (int *)&x) [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 105 | #define __HIp(x) *(int *)x [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 106 | #define __LOp(x) *(1 + (int *)x) [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 107 | [ 185s] | [ 185s] 108 | #endif [ 185s] | ~~~~~~ [ 185s] 109 | [ 185s] | [ 185s] 110 | /* Get two 32 bit ints from a double. */ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 111 | [ 185s] | [ 185s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 113 | do { \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 114 | ieee_double_shape_type ew_u; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 115 | ew_u.value = (d); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 116 | (ix0) = ew_u.parts.msw; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 117 | (ix1) = ew_u.parts.lsw; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 118 | } while (0) [ 185s] | ~~~~~~~~~~~ [ 185s] 119 | [ 185s] | [ 185s] 120 | /* Get a 64-bit int from a double. */ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 122 | do { \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 123 | ieee_double_shape_type ew_u; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 124 | ew_u.value = (d); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 125 | (ix) = ew_u.xparts.w; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 126 | } while (0) [ 185s] | ~~~~~~~~~~~ [ 185s] 127 | [ 185s] | [ 185s] 128 | /* Get the more significant 32 bit int from a double. */ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 129 | [ 185s] | [ 185s] 130 | #define GET_HIGH_WORD(i, d) \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 131 | do { \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 132 | ieee_double_shape_type gh_u; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 133 | gh_u.value = (d); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 134 | (i) = gh_u.parts.msw; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 135 | } while (0) [ 185s] | ~~~~~~~~~~~ [ 185s] 136 | [ 185s] | [ 185s] 137 | /* Get the less significant 32 bit int from a double. */ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 138 | [ 185s] | [ 185s] 139 | #define GET_LOW_WORD(i, d) \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 140 | do { \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 141 | ieee_double_shape_type gl_u; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 142 | gl_u.value = (d); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 143 | (i) = gl_u.parts.lsw; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 144 | } while (0) [ 185s] | ~~~~~~~~~~~ [ 185s] 145 | [ 185s] | [ 185s] 146 | /* Set a double from two 32 bit ints. */ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 147 | [ 185s] | [ 185s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 149 | do { \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 150 | ieee_double_shape_type iw_u; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 151 | iw_u.parts.msw = (ix0); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 152 | iw_u.parts.lsw = (ix1); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 153 | (d) = iw_u.value; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 154 | } while (0) [ 185s] | ~~~~~~~~~~~ [ 185s] 155 | [ 185s] | [ 185s] 156 | /* Set a double from a 64-bit int. */ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 157 | #define INSERT_WORD64(d, ix) \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 158 | do { \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 159 | ieee_double_shape_type iw_u; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 160 | iw_u.xparts.w = (ix); \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 161 | (d) = iw_u.value; \ [ 185s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 185s] 162 | } while (0) [ 185s] | ~~~~~~~~~~~ [ 186s] 163 | [ 186s] | [ 186s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 165 | [ 186s] | [ 186s] 166 | #define SET_HIGH_WORD(d, v) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 167 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 168 | ieee_double_shape_type sh_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 169 | sh_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 170 | sh_u.parts.msw = (v); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 171 | (d) = sh_u.value; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 172 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 173 | [ 186s] | [ 186s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 175 | [ 186s] | [ 186s] 176 | #define SET_LOW_WORD(d, v) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 177 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 178 | ieee_double_shape_type sl_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 179 | sl_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 180 | sl_u.parts.lsw = (v); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 181 | (d) = sl_u.value; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 182 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 183 | [ 186s] | [ 186s] 184 | /* Support macro. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 185 | [ 186s] | [ 186s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 187 | [ 186s] | [ 186s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 193 | [ 186s] | [ 186s] 194 | /* __ieee754_rem_pio2(x,y) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 195 | * [ 186s] | ~ [ 186s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 197 | * use __kernel_rem_pio2() [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 198 | */ [ 186s] | ~~ [ 186s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 200 | { [ 186s] | ~ [ 186s] 201 | /* [ 186s] | ~~ [ 186s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 203 | */ [ 186s] | ~~ [ 186s] 204 | constexpr int32_t two_over_pi[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 205 | 0xA2F983, [ 186s] | ~~~~~~~~~ [ 186s] 206 | 0x6E4E44, [ 186s] | ~~~~~~~~~ [ 186s] 207 | 0x1529FC, [ 186s] | ~~~~~~~~~ [ 186s] 208 | 0x2757D1, [ 186s] | ~~~~~~~~~ [ 186s] 209 | 0xF534DD, [ 186s] | ~~~~~~~~~ [ 186s] 210 | 0xC0DB62, [ 186s] | ~~~~~~~~~ [ 186s] 211 | 0x95993C, [ 186s] | ~~~~~~~~~ [ 186s] 212 | 0x439041, [ 186s] | ~~~~~~~~~ [ 186s] 213 | 0xFE5163, [ 186s] | ~~~~~~~~~ [ 186s] 214 | 0xABDEBB, [ 186s] | ~~~~~~~~~ [ 186s] 215 | 0xC561B7, [ 186s] | ~~~~~~~~~ [ 186s] 216 | 0x246E3A, [ 186s] | ~~~~~~~~~ [ 186s] 217 | 0x424DD2, [ 186s] | ~~~~~~~~~ [ 186s] 218 | 0xE00649, [ 186s] | ~~~~~~~~~ [ 186s] 219 | 0x2EEA09, [ 186s] | ~~~~~~~~~ [ 186s] 220 | 0xD1921C, [ 186s] | ~~~~~~~~~ [ 186s] 221 | 0xFE1DEB, [ 186s] | ~~~~~~~~~ [ 186s] 222 | 0x1CB129, [ 186s] | ~~~~~~~~~ [ 186s] 223 | 0xA73EE8, [ 186s] | ~~~~~~~~~ [ 186s] 224 | 0x8235F5, [ 186s] | ~~~~~~~~~ [ 186s] 225 | 0x2EBB44, [ 186s] | ~~~~~~~~~ [ 186s] 226 | 0x84E99C, [ 186s] | ~~~~~~~~~ [ 186s] 227 | 0x7026B4, [ 186s] | ~~~~~~~~~ [ 186s] 228 | 0x5F7E41, [ 186s] | ~~~~~~~~~ [ 186s] 229 | 0x3991D6, [ 186s] | ~~~~~~~~~ [ 186s] 230 | 0x398353, [ 186s] | ~~~~~~~~~ [ 186s] 231 | 0x39F49C, [ 186s] | ~~~~~~~~~ [ 186s] 232 | 0x845F8B, [ 186s] | ~~~~~~~~~ [ 186s] 233 | 0xBDF928, [ 186s] | ~~~~~~~~~ [ 186s] 234 | 0x3B1FF8, [ 186s] | ~~~~~~~~~ [ 186s] 235 | 0x97FFDE, [ 186s] | ~~~~~~~~~ [ 186s] 236 | 0x05980F, [ 186s] | ~~~~~~~~~ [ 186s] 237 | 0xEF2F11, [ 186s] | ~~~~~~~~~ [ 186s] 238 | 0x8B5A0A, [ 186s] | ~~~~~~~~~ [ 186s] 239 | 0x6D1F6D, [ 186s] | ~~~~~~~~~ [ 186s] 240 | 0x367ECF, [ 186s] | ~~~~~~~~~ [ 186s] 241 | 0x27CB09, [ 186s] | ~~~~~~~~~ [ 186s] 242 | 0xB74F46, [ 186s] | ~~~~~~~~~ [ 186s] 243 | 0x3F669E, [ 186s] | ~~~~~~~~~ [ 186s] 244 | 0x5FEA2D, [ 186s] | ~~~~~~~~~ [ 186s] 245 | 0x7527BA, [ 186s] | ~~~~~~~~~ [ 186s] 246 | 0xC7EBE5, [ 186s] | ~~~~~~~~~ [ 186s] 247 | 0xF17B3D, [ 186s] | ~~~~~~~~~ [ 186s] 248 | 0x0739F7, [ 186s] | ~~~~~~~~~ [ 186s] 249 | 0x8A5292, [ 186s] | ~~~~~~~~~ [ 186s] 250 | 0xEA6BFB, [ 186s] | ~~~~~~~~~ [ 186s] 251 | 0x5FB11F, [ 186s] | ~~~~~~~~~ [ 186s] 252 | 0x8D5D08, [ 186s] | ~~~~~~~~~ [ 186s] 253 | 0x560330, [ 186s] | ~~~~~~~~~ [ 186s] 254 | 0x46FC7B, [ 186s] | ~~~~~~~~~ [ 186s] 255 | 0x6BABF0, [ 186s] | ~~~~~~~~~ [ 186s] 256 | 0xCFBC20, [ 186s] | ~~~~~~~~~ [ 186s] 257 | 0x9AF436, [ 186s] | ~~~~~~~~~ [ 186s] 258 | 0x1DA9E3, [ 186s] | ~~~~~~~~~ [ 186s] 259 | 0x91615E, [ 186s] | ~~~~~~~~~ [ 186s] 260 | 0xE61B08, [ 186s] | ~~~~~~~~~ [ 186s] 261 | 0x659985, [ 186s] | ~~~~~~~~~ [ 186s] 262 | 0x5F14A0, [ 186s] | ~~~~~~~~~ [ 186s] 263 | 0x68408D, [ 186s] | ~~~~~~~~~ [ 186s] 264 | 0xFFD880, [ 186s] | ~~~~~~~~~ [ 186s] 265 | 0x4D7327, [ 186s] | ~~~~~~~~~ [ 186s] 266 | 0x310606, [ 186s] | ~~~~~~~~~ [ 186s] 267 | 0x1556CA, [ 186s] | ~~~~~~~~~ [ 186s] 268 | 0x73A8C9, [ 186s] | ~~~~~~~~~ [ 186s] 269 | 0x60E27B, [ 186s] | ~~~~~~~~~ [ 186s] 270 | 0xC08C6B, [ 186s] | ~~~~~~~~~ [ 186s] 271 | }; [ 186s] | ~~ [ 186s] 272 | [ 186s] | [ 186s] 273 | constexpr int32_t npio2_hw[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 274 | 0x3FF921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 275 | 0x400921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 276 | 0x4012D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 277 | 0x401921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 278 | 0x401F6A7A, [ 186s] | ~~~~~~~~~~~ [ 186s] 279 | 0x4022D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 280 | 0x4025FDBB, [ 186s] | ~~~~~~~~~~~ [ 186s] 281 | 0x402921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 282 | 0x402C463A, [ 186s] | ~~~~~~~~~~~ [ 186s] 283 | 0x402F6A7A, [ 186s] | ~~~~~~~~~~~ [ 186s] 284 | 0x4031475C, [ 186s] | ~~~~~~~~~~~ [ 186s] 285 | 0x4032D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 286 | 0x40346B9C, [ 186s] | ~~~~~~~~~~~ [ 186s] 287 | 0x4035FDBB, [ 186s] | ~~~~~~~~~~~ [ 186s] 288 | 0x40378FDB, [ 186s] | ~~~~~~~~~~~ [ 186s] 289 | 0x403921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 290 | 0x403AB41B, [ 186s] | ~~~~~~~~~~~ [ 186s] 291 | 0x403C463A, [ 186s] | ~~~~~~~~~~~ [ 186s] 292 | 0x403DD85A, [ 186s] | ~~~~~~~~~~~ [ 186s] 293 | 0x403F6A7A, [ 186s] | ~~~~~~~~~~~ [ 186s] 294 | 0x40407E4C, [ 186s] | ~~~~~~~~~~~ [ 186s] 295 | 0x4041475C, [ 186s] | ~~~~~~~~~~~ [ 186s] 296 | 0x4042106C, [ 186s] | ~~~~~~~~~~~ [ 186s] 297 | 0x4042D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 298 | 0x4043A28C, [ 186s] | ~~~~~~~~~~~ [ 186s] 299 | 0x40446B9C, [ 186s] | ~~~~~~~~~~~ [ 186s] 300 | 0x404534AC, [ 186s] | ~~~~~~~~~~~ [ 186s] 301 | 0x4045FDBB, [ 186s] | ~~~~~~~~~~~ [ 186s] 302 | 0x4046C6CB, [ 186s] | ~~~~~~~~~~~ [ 186s] 303 | 0x40478FDB, [ 186s] | ~~~~~~~~~~~ [ 186s] 304 | 0x404858EB, [ 186s] | ~~~~~~~~~~~ [ 186s] 305 | 0x404921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 306 | }; [ 186s] | ~~ [ 186s] 307 | [ 186s] | [ 186s] 308 | /* [ 186s] | ~~ [ 186s] 309 | * invpio2: 53 bits of 2/pi [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 310 | * pio2_1: first 33 bit of pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 311 | * pio2_1t: pi/2 - pio2_1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 312 | * pio2_2: second 33 bit of pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 313 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 314 | * pio2_3: third 33 bit of pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 315 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 316 | */ [ 186s] | ~~ [ 186s] 317 | [ 186s] | [ 186s] 318 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 319 | zero [ 186s] | ~~~~ [ 186s] 320 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 321 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 322 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 323 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 324 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 325 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 326 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 327 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 328 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 329 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 330 | [ 186s] | [ 186s] 331 | double z, w, t, r, fn; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 332 | double tx[3]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 333 | int32_t e0, i, j, nx, n, ix, hx; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 334 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 335 | [ 186s] | [ 186s] 336 | z = 0; [ 186s] | ~~~~~~ [ 186s] 337 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 338 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 339 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 340 | y[0] = x; [ 186s] | ~~~~~~~~~ [ 186s] 341 | y[1] = 0; [ 186s] | ~~~~~~~~~ [ 186s] 342 | return 0; [ 186s] | ~~~~~~~~~ [ 186s] 343 | } [ 186s] | ~ [ 186s] 344 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 345 | if (hx > 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 346 | z = x - pio2_1; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 347 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 348 | y[0] = z - pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 349 | y[1] = (z - y[0]) - pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 350 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 351 | z -= pio2_2; [ 186s] | ~~~~~~~~~~~~ [ 186s] 352 | y[0] = z - pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 353 | y[1] = (z - y[0]) - pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 354 | } [ 186s] | ~ [ 186s] 355 | return 1; [ 186s] | ~~~~~~~~~ [ 186s] 356 | } else { /* negative x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 357 | z = x + pio2_1; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 358 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 359 | y[0] = z + pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 360 | y[1] = (z - y[0]) + pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 361 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 362 | z += pio2_2; [ 186s] | ~~~~~~~~~~~~ [ 186s] 363 | y[0] = z + pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 364 | y[1] = (z - y[0]) + pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 365 | } [ 186s] | ~ [ 186s] 366 | return -1; [ 186s] | ~~~~~~~~~~ [ 186s] 367 | } [ 186s] | ~ [ 186s] 368 | } [ 186s] | ~ [ 186s] 369 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 370 | t = fabs(x); [ 186s] | ~~~~~~~~~~~~ [ 186s] 371 | n = static_cast(t * invpio2 + half); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 372 | fn = static_cast(n); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 373 | r = t - fn * pio2_1; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 374 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 375 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 376 | y[0] = r - w; /* quick check no cancellation */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 377 | } else { [ 186s] | ~~~~~~~~ [ 186s] 378 | uint32_t high; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 379 | j = ix >> 20; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 380 | y[0] = r - w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 381 | GET_HIGH_WORD(high, y[0]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 382 | i = j - ((high >> 20) & 0x7FF); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 383 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 384 | t = r; [ 186s] | ~~~~~~ [ 186s] 385 | w = fn * pio2_2; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 386 | r = t - w; [ 186s] | ~~~~~~~~~~ [ 186s] 387 | w = fn * pio2_2t - ((t - r) - w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 388 | y[0] = r - w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 389 | GET_HIGH_WORD(high, y[0]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 390 | i = j - ((high >> 20) & 0x7FF); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 391 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 392 | t = r; /* will cover all possible cases */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 393 | w = fn * pio2_3; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 394 | r = t - w; [ 186s] | ~~~~~~~~~~ [ 186s] 395 | w = fn * pio2_3t - ((t - r) - w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 396 | y[0] = r - w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 397 | } [ 186s] | ~ [ 186s] 398 | } [ 186s] | ~ [ 186s] 399 | } [ 186s] | ~ [ 186s] 400 | y[1] = (r - y[0]) - w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 401 | if (hx < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 402 | y[0] = -y[0]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 403 | y[1] = -y[1]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 404 | return -n; [ 186s] | ~~~~~~~~~~ [ 186s] 405 | } else { [ 186s] | ~~~~~~~~ [ 186s] 406 | return n; [ 186s] | ~~~~~~~~~ [ 186s] 407 | } [ 186s] | ~ [ 186s] 408 | } [ 186s] | ~ [ 186s] 409 | /* [ 186s] | ~~ [ 186s] 410 | * all other (large) arguments [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 411 | */ [ 186s] | ~~ [ 186s] 412 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 413 | y[0] = y[1] = x - x; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 414 | return 0; [ 186s] | ~~~~~~~~~ [ 186s] 415 | } [ 186s] | ~ [ 186s] 416 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 417 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 418 | SET_LOW_WORD(z, low); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 419 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 420 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 421 | for (i = 0; i < 2; i++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 422 | tx[i] = static_cast(static_cast(z)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 423 | z = (z - tx[i]) * two24; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 424 | } [ 186s] | ~ [ 186s] 425 | tx[2] = z; [ 186s] | ~~~~~~~~~~ [ 186s] 426 | nx = 3; [ 186s] | ~~~~~~~ [ 186s] 427 | while (tx[nx - 1] == zero) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 428 | nx--; /* skip zero term */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 429 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 430 | if (hx < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 431 | y[0] = -y[0]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 432 | y[1] = -y[1]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 433 | return -n; [ 186s] | ~~~~~~~~~~ [ 186s] 434 | } [ 186s] | ~ [ 186s] 435 | return n; [ 186s] | ~~~~~~~~~ [ 186s] 436 | } [ 186s] | ~ [ 186s] 437 | [ 186s] | [ 186s] 438 | /* __kernel_cos( x, y ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 439 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 440 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 441 | * Input y is the tail of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 442 | * [ 186s] | ~ [ 186s] 443 | * Algorithm [ 186s] | ~~~~~~~~~~~ [ 186s] 444 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 445 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 446 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 447 | * [0,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 448 | * 4 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 449 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 450 | * where the remez error is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 451 | * [ 186s] | ~ [ 186s] 452 | * | 2 4 6 8 10 12 14 | -58 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 453 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 454 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 455 | * [ 186s] | ~ [ 186s] 456 | * 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 457 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 458 | * cos(x) = 1 - x*x/2 + r [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 459 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 460 | * ~ cos(x) - x*y, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 461 | * a correction term is necessary in cos(x) and hence [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 462 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 463 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 464 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 465 | * Then [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 466 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 467 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 468 | * magnitude of the latter is at least a quarter of x*x/2, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 469 | * thus, reducing the rounding error in the subtraction. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 470 | */ [ 186s] | ~~ [ 186s] 471 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 472 | { [ 186s] | ~ [ 186s] 473 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 474 | one [ 186s] | ~~~ [ 186s] 475 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 476 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 477 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 478 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 479 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 480 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 481 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 482 | [ 186s] | [ 186s] 483 | double a, iz, z, r, qx; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 484 | int32_t ix; [ 186s] | ~~~~~~~~~~~ [ 186s] 485 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 486 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 487 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 488 | return one; /* generate inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 489 | } [ 186s] | ~ [ 186s] 490 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 491 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 492 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 493 | return one - (0.5 * z - (z * r - x * y)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 494 | } else { [ 186s] | ~~~~~~~~ [ 186s] 495 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 496 | qx = 0.28125; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 497 | } else { [ 186s] | ~~~~~~~~ [ 186s] 498 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 499 | } [ 186s] | ~ [ 186s] 500 | iz = 0.5 * z - qx; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 501 | a = one - qx; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 502 | return a - (iz - (z * r - x * y)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 503 | } [ 186s] | ~ [ 186s] 504 | } [ 186s] | ~ [ 186s] 505 | [ 186s] | [ 186s] 506 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 507 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 508 | * [ 186s] | ~ [ 186s] 509 | * __kernel_rem_pio2 return the last three digits of N with [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 510 | * y = x - N*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 511 | * so that |y| < pi/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 512 | * [ 186s] | ~ [ 186s] 513 | * The method is to compute the integer (mod 8) and fraction parts of [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 514 | * (2/pi)*x without doing the full multiplication. In general we [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 515 | * skip the part of the product that are known to be a huge integer ( [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 516 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 517 | * independent of the exponent of the input. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 518 | * [ 186s] | ~ [ 186s] 519 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 520 | * [ 186s] | ~ [ 186s] 521 | * Input parameters: [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 522 | * x[] The input value (must be positive) is broken into nx [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 523 | * pieces of 24-bit integers in double precision format. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 524 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 525 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 526 | * match x's up to 24 bits. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 527 | * [ 186s] | ~ [ 186s] 528 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 529 | * e0 = ilogb(z)-23 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 530 | * z = scalbn(z,-e0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 531 | * for i = 0,1,2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 532 | * x[i] = floor(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 533 | * z = (z-x[i])*2**24 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 534 | * [ 186s] | ~ [ 186s] 535 | * [ 186s] | ~ [ 186s] 536 | * y[] output result in an array of double precision numbers. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 537 | * The dimension of y[] is: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 538 | * 24-bit precision 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 539 | * 53-bit precision 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 540 | * 64-bit precision 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 541 | * 113-bit precision 3 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 542 | * The actual value is the sum of them. Thus for 113-bit [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 543 | * precison, one may have to do something like: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 544 | * [ 186s] | ~ [ 186s] 545 | * long double t,w,r_head, r_tail; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 546 | * t = (long double)y[2] + (long double)y[1]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 547 | * w = (long double)y[0]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 548 | * r_head = t+w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 549 | * r_tail = w - (r_head - t); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 550 | * [ 186s] | ~ [ 186s] 551 | * e0 The exponent of x[0] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 552 | * [ 186s] | ~ [ 186s] 553 | * nx dimension of x[] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 554 | * [ 186s] | ~ [ 186s] 555 | * prec an integer indicating the precision: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 556 | * 0 24 bits (single) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 557 | * 1 53 bits (double) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 558 | * 2 64 bits (extended) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 559 | * 3 113 bits (quad) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 560 | * [ 186s] | ~ [ 186s] 561 | * ipio2[] [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 562 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 563 | * bit of 2/pi after binary point. The corresponding [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 564 | * floating value is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 565 | * [ 186s] | ~ [ 186s] 566 | * ipio2[i] * 2^(-24(i+1)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 567 | * [ 186s] | ~ [ 186s] 568 | * External function: [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 569 | * double scalbn(), floor(); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 570 | * [ 186s] | ~ [ 186s] 571 | * [ 186s] | ~ [ 186s] 572 | * Here is the description of some local variables: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 573 | * [ 186s] | ~ [ 186s] 574 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 575 | * in the computation. The recommended value is 2,3,4, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 576 | * 6 for single, double, extended,and quad. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 577 | * [ 186s] | ~ [ 186s] 578 | * jz local integer variable indicating the number of [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 579 | * terms of ipio2[] used. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 580 | * [ 186s] | ~ [ 186s] 581 | * jx nx - 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 582 | * [ 186s] | ~ [ 186s] 583 | * jv index for pointing to the suitable ipio2[] for the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 584 | * computation. In general, we want [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 585 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 586 | * is an integer. Thus [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 587 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 588 | * Hence jv = max(0,(e0-3)/24). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 589 | * [ 186s] | ~ [ 186s] 590 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 591 | * [ 186s] | ~ [ 186s] 592 | * q[] double array with integral value, representing the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 593 | * 24-bits chunk of the product of x and 2/pi. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 594 | * [ 186s] | ~ [ 186s] 595 | * q0 the corresponding exponent of q[0]. Note that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 596 | * exponent for q[i] would be q0-24*i. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 597 | * [ 186s] | ~ [ 186s] 598 | * PIo2[] double precision array, obtained by cutting pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 599 | * into 24 bits chunks. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 600 | * [ 186s] | ~ [ 186s] 601 | * f[] ipio2[] in floating point [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 602 | * [ 186s] | ~ [ 186s] 603 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 604 | * [ 186s] | ~ [ 186s] 605 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 606 | * [ 186s] | ~ [ 186s] 607 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 608 | * it also indicates the *sign* of the result. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 609 | * [ 186s] | ~ [ 186s] 610 | */ [ 186s] | ~~ [ 186s] 611 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 612 | const int32_t *ipio2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 613 | { [ 186s] | ~ [ 186s] 614 | /* Constants: [ 186s] | ~~~~~~~~~~~~~ [ 186s] 615 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 616 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 617 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 618 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 619 | */ [ 186s] | ~~ [ 186s] 620 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 621 | [ 186s] | [ 186s] 622 | constexpr double PIo2[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 623 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 624 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 625 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 626 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 627 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 628 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 629 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 630 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 631 | }; [ 186s] | ~~ [ 186s] 632 | [ 186s] | [ 186s] 633 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 634 | zero [ 186s] | ~~~~ [ 186s] 635 | = 0.0, [ 186s] | ~~~~~~ [ 186s] 636 | one = 1.0, [ 186s] | ~~~~~~~~~~ [ 186s] 637 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 638 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 639 | [ 186s] | [ 186s] 640 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 641 | double z, fw, f[20], fq[20], q[20]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 642 | [ 186s] | [ 186s] 643 | /* initialize jk*/ [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 644 | jk = init_jk[prec]; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 645 | jp = jk; [ 186s] | ~~~~~~~~ [ 186s] 646 | [ 186s] | [ 186s] 647 | /* determine jx,jv,q0, note that 3>q0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 648 | jx = nx - 1; [ 186s] | ~~~~~~~~~~~~ [ 186s] 649 | jv = (e0 - 3) / 24; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 650 | if (jv < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 651 | jv = 0; [ 186s] | ~~~~~~~ [ 186s] 652 | q0 = e0 - 24 * (jv + 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 653 | [ 186s] | [ 186s] 654 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 655 | j = jv - jx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 656 | m = jx + jk; [ 186s] | ~~~~~~~~~~~~ [ 186s] 657 | for (i = 0; i <= m; i++, j++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 658 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 659 | } [ 186s] | ~ [ 186s] 660 | [ 186s] | [ 186s] 661 | /* compute q[0],q[1],...q[jk] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 662 | for (i = 0; i <= jk; i++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 663 | for (j = 0, fw = 0.0; j <= jx; j++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 664 | fw += x[j] * f[jx + i - j]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 665 | q[i] = fw; [ 186s] | ~~~~~~~~~~ [ 186s] 666 | } [ 186s] | ~ [ 186s] 667 | [ 186s] | [ 186s] 668 | jz = jk; [ 186s] | ~~~~~~~~ [ 186s] 669 | recompute: [ 186s] | ~~~~~~~~~~ [ 186s] 670 | /* distill q[] into iq[] reversingly */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 671 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 672 | fw = static_cast(static_cast(twon24 * z)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 673 | iq[i] = static_cast(z - two24 * fw); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 674 | z = q[j - 1] + fw; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 675 | } [ 186s] | ~ [ 186s] 676 | [ 186s] | [ 186s] 677 | /* compute n */ [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 678 | z = scalbn(z, q0); /* actual value of z */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 679 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 680 | n = static_cast(z); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 681 | z -= static_cast(n); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 682 | ih = 0; [ 186s] | ~~~~~~~ [ 186s] 683 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 684 | i = (iq[jz - 1] >> (24 - q0)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 685 | n += i; [ 186s] | ~~~~~~~ [ 186s] 686 | iq[jz - 1] -= i << (24 - q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 687 | ih = iq[jz - 1] >> (23 - q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 688 | } else if (q0 == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 689 | ih = iq[jz - 1] >> 23; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 690 | } else if (z >= 0.5) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 691 | ih = 2; [ 186s] | ~~~~~~~ [ 186s] 692 | } [ 186s] | ~ [ 186s] 693 | [ 186s] | [ 186s] 694 | if (ih > 0) { /* q > 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 695 | n += 1; [ 186s] | ~~~~~~~ [ 186s] 696 | carry = 0; [ 186s] | ~~~~~~~~~~ [ 186s] 697 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 698 | j = iq[i]; [ 186s] | ~~~~~~~~~~ [ 186s] 699 | if (carry == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 700 | if (j != 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 701 | carry = 1; [ 186s] | ~~~~~~~~~~ [ 186s] 702 | iq[i] = 0x1000000 - j; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 703 | } [ 186s] | ~ [ 186s] 704 | } else { [ 186s] | ~~~~~~~~ [ 186s] 705 | iq[i] = 0xFFFFFF - j; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 706 | } [ 186s] | ~ [ 186s] 707 | } [ 186s] | ~ [ 186s] 708 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 709 | switch (q0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 710 | case 1: [ 186s] | ~~~~~~~ [ 186s] 711 | iq[jz - 1] &= 0x7FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 712 | break; [ 186s] | ~~~~~~ [ 186s] 713 | case 2: [ 186s] | ~~~~~~~ [ 186s] 714 | iq[jz - 1] &= 0x3FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 715 | break; [ 186s] | ~~~~~~ [ 186s] 716 | } [ 186s] | ~ [ 186s] 717 | } [ 186s] | ~ [ 186s] 718 | if (ih == 2) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 719 | z = one - z; [ 186s] | ~~~~~~~~~~~~ [ 186s] 720 | if (carry != 0) [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 721 | z -= scalbn(one, q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 722 | } [ 186s] | ~ [ 186s] 723 | } [ 186s] | ~ [ 186s] 724 | [ 186s] | [ 186s] 725 | /* check if recomputation is needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 726 | if (z == zero) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 727 | j = 0; [ 186s] | ~~~~~~ [ 186s] 728 | for (i = jz - 1; i >= jk; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 729 | j |= iq[i]; [ 186s] | ~~~~~~~~~~~ [ 186s] 730 | if (j == 0) { /* need recomputation */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 731 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 732 | /* k = no. of terms needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 733 | } [ 186s] | ~ [ 186s] 734 | [ 186s] | [ 186s] 735 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 736 | f[jx + i] = ipio2[jv + i]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 737 | for (j = 0, fw = 0.0; j <= jx; j++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 738 | fw += x[j] * f[jx + i - j]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 739 | q[i] = fw; [ 186s] | ~~~~~~~~~~ [ 186s] 740 | } [ 186s] | ~ [ 186s] 741 | jz += k; [ 186s] | ~~~~~~~~ [ 186s] 742 | goto recompute; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 743 | } [ 186s] | ~ [ 186s] 744 | } [ 186s] | ~ [ 186s] 745 | [ 186s] | [ 186s] 746 | /* chop off zero terms */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 747 | if (z == 0.0) { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 748 | jz -= 1; [ 186s] | ~~~~~~~~ [ 186s] 749 | q0 -= 24; [ 186s] | ~~~~~~~~~ [ 186s] 750 | while (iq[jz] == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 751 | jz--; [ 186s] | ~~~~~ [ 186s] 752 | q0 -= 24; [ 186s] | ~~~~~~~~~ [ 186s] 753 | } [ 186s] | ~ [ 186s] 754 | } else { /* break z into 24-bit if necessary */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 755 | z = scalbn(z, -q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 756 | if (z >= two24) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 757 | fw = static_cast(static_cast(twon24 * z)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 758 | iq[jz] = z - two24 * fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 759 | jz += 1; [ 186s] | ~~~~~~~~ [ 186s] 760 | q0 += 24; [ 186s] | ~~~~~~~~~ [ 186s] 761 | iq[jz] = fw; [ 186s] | ~~~~~~~~~~~~ [ 186s] 762 | } else { [ 186s] | ~~~~~~~~ [ 186s] 763 | iq[jz] = z; [ 186s] | ~~~~~~~~~~~ [ 186s] 764 | } [ 186s] | ~ [ 186s] 765 | } [ 186s] | ~ [ 186s] 766 | [ 186s] | [ 186s] 767 | /* convert integer "bit" chunk to floating-point value */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 768 | fw = scalbn(one, q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 769 | for (i = jz; i >= 0; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 770 | q[i] = fw * iq[i]; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 771 | fw *= twon24; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 772 | } [ 186s] | ~ [ 186s] 773 | [ 186s] | [ 186s] 774 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 775 | for (i = jz; i >= 0; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 776 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 777 | fw += PIo2[k] * q[i + k]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 778 | fq[jz - i] = fw; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 779 | } [ 186s] | ~ [ 186s] 780 | [ 186s] | [ 186s] 781 | /* compress fq[] into y[] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 782 | switch (prec) { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 783 | case 0: [ 186s] | ~~~~~~~ [ 186s] 784 | fw = 0.0; [ 186s] | ~~~~~~~~~ [ 186s] 785 | for (i = jz; i >= 0; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 786 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 787 | y[0] = (ih == 0) ? fw : -fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 788 | break; [ 186s] | ~~~~~~ [ 186s] 789 | case 1: [ 186s] | ~~~~~~~ [ 186s] 790 | case 2: [ 186s] | ~~~~~~~ [ 186s] 791 | fw = 0.0; [ 186s] | ~~~~~~~~~ [ 186s] 792 | for (i = jz; i >= 0; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 793 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 794 | y[0] = (ih == 0) ? fw : -fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 795 | fw = fq[0] - fw; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 796 | for (i = 1; i <= jz; i++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 797 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 798 | y[1] = (ih == 0) ? fw : -fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 799 | break; [ 186s] | ~~~~~~ [ 186s] 800 | case 3: /* painful */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 801 | for (i = jz; i > 0; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 802 | fw = fq[i - 1] + fq[i]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 803 | fq[i] += fq[i - 1] - fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 804 | fq[i - 1] = fw; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 805 | } [ 186s] | ~ [ 186s] 806 | for (i = jz; i > 1; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 807 | fw = fq[i - 1] + fq[i]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 808 | fq[i] += fq[i - 1] - fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 809 | fq[i - 1] = fw; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 810 | } [ 186s] | ~ [ 186s] 811 | for (fw = 0.0, i = jz; i >= 2; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 812 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 813 | if (ih == 0) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 814 | y[0] = fq[0]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 815 | y[1] = fq[1]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 816 | y[2] = fw; [ 186s] | ~~~~~~~~~~ [ 186s] 817 | } else { [ 186s] | ~~~~~~~~ [ 186s] 818 | y[0] = -fq[0]; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 819 | y[1] = -fq[1]; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 820 | y[2] = -fw; [ 186s] | ~~~~~~~~~~~ [ 186s] 821 | } [ 186s] | ~ [ 186s] 822 | } [ 186s] | ~ [ 186s] 823 | return n & 7; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 824 | } [ 186s] | ~ [ 186s] 825 | [ 186s] | [ 186s] 826 | /* __kernel_sin( x, y, iy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 827 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 828 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 829 | * Input y is the tail of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 830 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 831 | * [ 186s] | ~ [ 186s] 832 | * Algorithm [ 186s] | ~~~~~~~~~~~ [ 186s] 833 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 834 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 835 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 836 | * [0,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 837 | * 3 13 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 838 | * sin(x) ~ x + S1*x + ... + S6*x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 839 | * where [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 840 | * [ 186s] | ~ [ 186s] 841 | * |sin(x) 2 4 6 8 10 12 | -58 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 842 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 843 | * | x | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 844 | * [ 186s] | ~ [ 186s] 845 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 846 | * ~ sin(x) + (1-x*x/2)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 847 | * For better accuracy, let [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 848 | * 3 2 2 2 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 849 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 850 | * then 3 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 851 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 852 | */ [ 186s] | ~~ [ 186s] 853 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 854 | { [ 186s] | ~ [ 186s] 855 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 856 | half [ 186s] | ~~~~ [ 186s] 857 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 858 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 859 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 860 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 861 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 862 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 863 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 864 | [ 186s] | [ 186s] 865 | double z, r, v; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 866 | int32_t ix; [ 186s] | ~~~~~~~~~~~ [ 186s] 867 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 868 | ix &= 0x7FFFFFFF; /* high word of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 869 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 870 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 871 | } /* generate inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 872 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 873 | v = z * x; [ 186s] | ~~~~~~~~~~ [ 186s] 874 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 875 | if (iy == 0) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 876 | return x + v * (S1 + z * r); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 877 | } else { [ 186s] | ~~~~~~~~ [ 186s] 878 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 879 | } [ 186s] | ~ [ 186s] 880 | } [ 186s] | ~ [ 186s] 881 | [ 186s] | [ 186s] 882 | /* __kernel_tan( x, y, k ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 883 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 884 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 885 | * Input y is the tail of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 886 | * Input k indicates whether tan (if k=1) or [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 887 | * -1/tan (if k= -1) is returned. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 888 | * [ 186s] | ~ [ 186s] 889 | * Algorithm [ 186s] | ~~~~~~~~~~~ [ 186s] 890 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 891 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 892 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 893 | * [0,0.67434] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 894 | * 3 27 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 895 | * tan(x) ~ x + T1*x + ... + T13*x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 896 | * where [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 897 | * [ 186s] | ~ [ 186s] 898 | * |tan(x) 2 4 26 | -59.2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 899 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 900 | * | x | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 901 | * [ 186s] | ~ [ 186s] 902 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 903 | * ~ tan(x) + (1+x*x)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 904 | * Therefore, for better accuracy in computing tan(x+y), let [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 905 | * 3 2 2 2 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 906 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 907 | * then [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 908 | * 3 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 909 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 910 | * [ 186s] | ~ [ 186s] 911 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 912 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 913 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 914 | */ [ 186s] | ~~ [ 186s] 915 | double __kernel_tan(double x, double y, int iy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 916 | { [ 186s] | ~ [ 186s] 917 | constexpr double xxx[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 918 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 919 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 920 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 921 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 922 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 923 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 924 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 925 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 926 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 927 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 928 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 929 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 930 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 931 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 932 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 933 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 934 | }; [ 186s] | ~~ [ 186s] 935 | #define one xxx[13] [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 936 | #define pio4 xxx[14] [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 937 | #define pio4lo xxx[15] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 938 | #define T xxx [ 186s] | ~~~~~~~~~~~~~ [ 186s] 939 | [ 186s] | [ 186s] 940 | double z, r, v, w, s; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 941 | int32_t ix, hx; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 942 | [ 186s] | [ 186s] 943 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 944 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 945 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 946 | /* generate inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 947 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 948 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 949 | if (((ix | low) | (iy + 1)) == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 950 | return one / fabs(x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 951 | } else { [ 186s] | ~~~~~~~~ [ 186s] 952 | if (iy == 1) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 953 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 954 | } else { /* compute -1 / (x+y) carefully */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 955 | double a, t; [ 186s] | ~~~~~~~~~~~~ [ 186s] 956 | [ 186s] | [ 186s] 957 | z = w = x + y; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 958 | SET_LOW_WORD(z, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 959 | v = y - (z - x); [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 960 | t = a = -one / w; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 961 | SET_LOW_WORD(t, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 962 | s = one + t * z; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 963 | return t + a * (s + t * v); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 964 | } [ 186s] | ~ [ 186s] 965 | } [ 186s] | ~ [ 186s] 966 | } [ 186s] | ~ [ 186s] 967 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 968 | if (hx < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 969 | x = -x; [ 186s] | ~~~~~~~ [ 186s] 970 | y = -y; [ 186s] | ~~~~~~~ [ 186s] 971 | } [ 186s] | ~ [ 186s] 972 | z = pio4 - x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 973 | w = pio4lo - y; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 974 | x = z + w; [ 186s] | ~~~~~~~~~~ [ 186s] 975 | y = 0.0; [ 186s] | ~~~~~~~~ [ 186s] 976 | } [ 186s] | ~ [ 186s] 977 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 978 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 979 | /* [ 186s] | ~~ [ 186s] 980 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 981 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 982 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 983 | */ [ 186s] | ~~ [ 186s] 984 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 985 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 986 | s = z * x; [ 186s] | ~~~~~~~~~~ [ 186s] 987 | r = y + z * (s * (r + v) + y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 988 | r += T[0] * s; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 989 | w = x + r; [ 186s] | ~~~~~~~~~~ [ 186s] 990 | if (ix >= 0x3FE59428) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 991 | v = iy; [ 186s] | ~~~~~~~ [ 186s] 992 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 993 | } [ 186s] | ~ [ 186s] 994 | if (iy == 1) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 995 | return w; [ 186s] | ~~~~~~~~~ [ 186s] 996 | } else { [ 186s] | ~~~~~~~~ [ 186s] 997 | /* [ 186s] | ~~ [ 186s] 998 | * if allow error up to 2 ulp, simply return [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 999 | * -1.0 / (x+r) here [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1000 | */ [ 186s] | ~~ [ 186s] 1001 | /* compute -1.0 / (x+r) accurately */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1002 | double a, t; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1003 | z = w; [ 186s] | ~~~~~~ [ 186s] 1004 | SET_LOW_WORD(z, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1005 | v = r - (z - x); /* z+v = r+x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1006 | t = a = -1.0 / w; /* a = -1.0/w */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1007 | SET_LOW_WORD(t, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1008 | s = 1.0 + t * z; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1009 | return t + a * (s + t * v); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1010 | } [ 186s] | ~ [ 186s] 1011 | [ 186s] | [ 186s] 1012 | #undef one [ 186s] | ~~~~~~~~~~ [ 186s] 1013 | #undef pio4 [ 186s] | ~~~~~~~~~~~ [ 186s] 1014 | #undef pio4lo [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1015 | #undef T [ 186s] | ~~~~~~~~ [ 186s] 1016 | } [ 186s] | ~ [ 186s] 1017 | [ 186s] | [ 186s] 1018 | } // namespace [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1019 | [ 186s] | [ 186s] 1020 | /* acos(x) [ 186s] | ~~~~~~~~~~ [ 186s] 1021 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1022 | * acos(x) = pi/2 - asin(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1023 | * acos(-x) = pi/2 + asin(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1024 | * For |x|<=0.5 [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1025 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1026 | * For x>0.5 [ 186s] | ~~~~~~~~~~~ [ 186s] 1027 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1028 | * = 2asin(sqrt((1-x)/2)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1029 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1030 | * = 2f + (2c + 2s*z*R(z)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1031 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1032 | * for f so that f+c ~ sqrt(z). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1033 | * For x<-0.5 [ 186s] | ~~~~~~~~~~~~ [ 186s] 1034 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1035 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1036 | * [ 186s] | ~ [ 186s] 1037 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1038 | * if x is NaN, return x itself; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1039 | * if |x|>1, return NaN with invalid signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1040 | * [ 186s] | ~ [ 186s] 1041 | * Function needed: sqrt [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1042 | */ [ 186s] | ~~ [ 186s] 1043 | double acos(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1044 | { [ 186s] | ~ [ 186s] 1045 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1046 | one [ 186s] | ~~~ [ 186s] 1047 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1048 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1049 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1050 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1051 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1052 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1053 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1054 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1055 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1056 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1057 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1058 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1059 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1060 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1061 | [ 186s] | [ 186s] 1062 | double z, p, q, r, w, s, c, df; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1063 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1064 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1065 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1066 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1067 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1068 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1069 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1070 | if (hx > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1071 | return 0.0; /* acos(1) = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1072 | else [ 186s] | ~~~~ [ 186s] 1073 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1074 | } [ 186s] | ~ [ 186s] 1075 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1076 | } [ 186s] | ~ [ 186s] 1077 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1078 | if (ix <= 0x3C600000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1079 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1080 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1081 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1082 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1083 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1084 | return pio2_hi - (x - (pio2_lo - x * r)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1085 | } else if (hx < 0) { /* x < -0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1086 | z = (one + x) * 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1087 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1088 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1089 | s = sqrt(z); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1090 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1091 | w = r * s - pio2_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1092 | return pi - 2.0 * (s + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1093 | } else { /* x > 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1094 | z = (one - x) * 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1095 | s = sqrt(z); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1096 | df = s; [ 186s] | ~~~~~~~ [ 186s] 1097 | SET_LOW_WORD(df, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1098 | c = (z - df * df) / (s + df); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1099 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1100 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1101 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1102 | w = r * s + c; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1103 | return 2.0 * (df + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1104 | } [ 186s] | ~ [ 186s] 1105 | } [ 186s] | ~ [ 186s] 1106 | [ 186s] | [ 186s] 1107 | /* acosh(x) [ 186s] | ~~~~~~~~~~~ [ 186s] 1108 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1109 | * Based on [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1110 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1111 | * we have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1112 | * acosh(x) := log(x)+ln2, if x is large; else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1113 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1114 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1115 | * [ 186s] | ~ [ 186s] 1116 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1117 | * acosh(x) is NaN with signal if x<1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1118 | * acosh(NaN) is NaN without signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1119 | */ [ 186s] | ~~ [ 186s] 1120 | double acosh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1121 | { [ 186s] | ~ [ 186s] 1122 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1123 | one [ 186s] | ~~~ [ 186s] 1124 | = 1.0, [ 186s] | ~~~~~~ [ 186s] 1125 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1126 | double t; [ 186s] | ~~~~~~~~~ [ 186s] 1127 | int32_t hx; [ 186s] | ~~~~~~~~~~~ [ 186s] 1128 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1129 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1130 | if (hx < 0x3FF00000) { /* x < 1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1131 | return (x - x) / (x - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1132 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1133 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1134 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1135 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1136 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1137 | } [ 186s] | ~ [ 186s] 1138 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1139 | return 0.0; /* acosh(1) = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1140 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1141 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1142 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1143 | } else { /* 10.98 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1163 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1164 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1165 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1166 | * f = hi part of s; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1167 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1168 | * and [ 186s] | ~~~~~~~~~~ [ 186s] 1169 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1170 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1171 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1172 | * [ 186s] | ~ [ 186s] 1173 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1174 | * if x is NaN, return x itself; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1175 | * if |x|>1, return NaN with invalid signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1176 | */ [ 186s] | ~~ [ 186s] 1177 | double asin(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1178 | { [ 186s] | ~ [ 186s] 1179 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1180 | one [ 186s] | ~~~ [ 186s] 1181 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1182 | huge = 1.000e+300, [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1183 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1184 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1185 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1186 | /* coefficient for R(x^2) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1187 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1188 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1189 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1190 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1191 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1192 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1193 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1194 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1195 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1196 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1197 | [ 186s] | [ 186s] 1198 | double t, w, p, q, c, r, s; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1199 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1200 | [ 186s] | [ 186s] 1201 | t = 0; [ 186s] | ~~~~~~ [ 186s] 1202 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1203 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1204 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1205 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1206 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1207 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1208 | return x * pio2_hi + x * pio2_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1209 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1210 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1211 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1212 | return x; /* return x with inexact if x!=0*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1213 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1214 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1215 | } [ 186s] | ~ [ 186s] 1216 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1217 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1218 | w = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1219 | return x + x * w; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1220 | } [ 186s] | ~ [ 186s] 1221 | /* 1> |x|>= 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1222 | w = one - fabs(x); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1223 | t = w * 0.5; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1224 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1225 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1226 | s = sqrt(t); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1227 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1228 | w = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1229 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1230 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1231 | w = s; [ 186s] | ~~~~~~ [ 186s] 1232 | SET_LOW_WORD(w, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1233 | c = (t - w * w) / (s + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1234 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1235 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1236 | q = pio4_hi - 2.0 * w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1237 | t = pio4_hi - (p - q); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1238 | } [ 186s] | ~ [ 186s] 1239 | if (hx > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1240 | return t; [ 186s] | ~~~~~~~~~ [ 186s] 1241 | else [ 186s] | ~~~~ [ 186s] 1242 | return -t; [ 186s] | ~~~~~~~~~~ [ 186s] 1243 | } [ 186s] | ~ [ 186s] 1244 | /* asinh(x) [ 186s] | ~~~~~~~~~~~ [ 186s] 1245 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1246 | * Based on [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1247 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1248 | * we have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1249 | * asinh(x) := x if 1+x*x=1, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1250 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1251 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1252 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1253 | */ [ 186s] | ~~ [ 186s] 1254 | double asinh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1255 | { [ 186s] | ~ [ 186s] 1256 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1257 | one [ 186s] | ~~~ [ 186s] 1258 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1259 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1260 | huge = 1.00000000000000000000e+300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1261 | [ 186s] | [ 186s] 1262 | double t, w; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1263 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1264 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1265 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1266 | if (ix >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1267 | return x + x; /* x is inf or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1268 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1269 | return x; /* return x inexact except 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1270 | } [ 186s] | ~ [ 186s] 1271 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1272 | w = log(fabs(x)) + ln2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1273 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1274 | t = fabs(x); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1275 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1276 | } else { /* 2.0 > |x| > 2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1277 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1278 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1279 | } [ 186s] | ~ [ 186s] 1280 | if (hx > 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1281 | return w; [ 186s] | ~~~~~~~~~ [ 186s] 1282 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1283 | return -w; [ 186s] | ~~~~~~~~~~ [ 186s] 1284 | } [ 186s] | ~ [ 186s] 1285 | } [ 186s] | ~ [ 186s] 1286 | [ 186s] | [ 186s] 1287 | /* atan(x) [ 186s] | ~~~~~~~~~~ [ 186s] 1288 | * Method [ 186s] | ~~~~~~~~ [ 186s] 1289 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1290 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1291 | * is further reduced to one of the following intervals and the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1292 | * arctangent of t is evaluated by the corresponding formula: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1293 | * [ 186s] | ~ [ 186s] 1294 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1295 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1296 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1297 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1298 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1299 | * [ 186s] | ~ [ 186s] 1300 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1301 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1302 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1303 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1304 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1305 | */ [ 186s] | ~~ [ 186s] 1306 | double atan(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1307 | { [ 186s] | ~ [ 186s] 1308 | constexpr double atanhi[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1309 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1310 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1311 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1312 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1313 | }; [ 186s] | ~~ [ 186s] 1314 | [ 186s] | [ 186s] 1315 | constexpr double atanlo[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1316 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1317 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1318 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1319 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1320 | }; [ 186s] | ~~ [ 186s] 1321 | [ 186s] | [ 186s] 1322 | constexpr double aT[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1323 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1324 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1325 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1326 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1327 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1328 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1329 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1330 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1331 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1332 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1333 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1334 | }; [ 186s] | ~~ [ 186s] 1335 | [ 186s] | [ 186s] 1336 | constexpr double one = 1.0, huge = 1.0e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1337 | [ 186s] | [ 186s] 1338 | double w, s1, s2, z; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1339 | int32_t ix, hx, id; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1340 | [ 186s] | [ 186s] 1341 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1342 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1343 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1344 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1345 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1346 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1347 | return x + x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1348 | if (hx > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1349 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1350 | else [ 186s] | ~~~~ [ 186s] 1351 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1352 | } [ 186s] | ~ [ 186s] 1353 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1354 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1355 | return x; /* raise inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1356 | } [ 186s] | ~ [ 186s] 1357 | id = -1; [ 186s] | ~~~~~~~~ [ 186s] 1358 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1359 | x = fabs(x); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1360 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1361 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1362 | id = 0; [ 186s] | ~~~~~~~ [ 186s] 1363 | x = (2.0 * x - one) / (2.0 + x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1364 | } else { /* 11/16<=|x|< 19/16 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1365 | id = 1; [ 186s] | ~~~~~~~ [ 186s] 1366 | x = (x - one) / (x + one); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1367 | } [ 186s] | ~ [ 186s] 1368 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1369 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1370 | id = 2; [ 186s] | ~~~~~~~ [ 186s] 1371 | x = (x - 1.5) / (one + 1.5 * x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1372 | } else { /* 2.4375 <= |x| < 2^66 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1373 | id = 3; [ 186s] | ~~~~~~~ [ 186s] 1374 | x = -1.0 / x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1375 | } [ 186s] | ~ [ 186s] 1376 | } [ 186s] | ~ [ 186s] 1377 | } [ 186s] | ~ [ 186s] 1378 | /* end of argument reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1379 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1380 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 1381 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1382 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1383 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1384 | if (id < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1385 | return x - x * (s1 + s2); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1386 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1387 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1388 | return (hx < 0) ? -z : z; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1389 | } [ 186s] | ~ [ 186s] 1390 | } [ 186s] | ~ [ 186s] 1391 | [ 186s] | [ 186s] 1392 | /* atan2(y,x) [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1393 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1394 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1395 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1396 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1397 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1398 | * [ 186s] | ~ [ 186s] 1399 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1400 | * [ 186s] | ~ [ 186s] 1401 | * ATAN2((anything), NaN ) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1402 | * ATAN2(NAN , (anything) ) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1403 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1404 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1405 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1406 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1407 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1408 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1409 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1410 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1411 | * [ 186s] | ~ [ 186s] 1412 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1413 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1414 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1415 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1416 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1417 | */ [ 186s] | ~~ [ 186s] 1418 | double atan2(double y, double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1419 | { [ 186s] | ~ [ 186s] 1420 | constexpr volatile double tiny = 1.0e-300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1421 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1422 | zero [ 186s] | ~~~~ [ 186s] 1423 | = 0.0, [ 186s] | ~~~~~~ [ 186s] 1424 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1425 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1426 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1427 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1428 | [ 186s] | [ 186s] 1429 | double z; [ 186s] | ~~~~~~~~~ [ 186s] 1430 | int32_t k, m, hx, hy, ix, iy; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1431 | uint32_t lx, ly; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1432 | [ 186s] | [ 186s] 1433 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1434 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1435 | EXTRACT_WORDS(hy, ly, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1436 | iy = hy & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1437 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1438 | return x + y; /* x or y is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1439 | } [ 186s] | ~ [ 186s] 1440 | if (((hx - 0x3FF00000) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1441 | return atan(y); /* x=1.0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1442 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1443 | [ 186s] | [ 186s] 1444 | /* when y = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1445 | if ((iy | ly) == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1446 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1447 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1448 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1449 | return y; /* atan(+-0,+anything)=+-0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1450 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1451 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1452 | case 3: [ 186s] | ~~~~~~~ [ 186s] 1453 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1454 | } [ 186s] | ~ [ 186s] 1455 | } [ 186s] | ~ [ 186s] 1456 | /* when x = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1457 | if ((ix | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1458 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1459 | [ 186s] | [ 186s] 1460 | /* when x is INF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1461 | if (ix == 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1462 | if (iy == 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1463 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1464 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1465 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1466 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1467 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1468 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1469 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1470 | case 3: [ 186s] | ~~~~~~~ [ 186s] 1471 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1472 | } [ 186s] | ~ [ 186s] 1473 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1474 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1475 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1476 | return zero; /* atan(+...,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1477 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1478 | return -zero; /* atan(-...,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1479 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1480 | return pi + tiny; /* atan(+...,-INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1481 | case 3: [ 186s] | ~~~~~~~ [ 186s] 1482 | return -pi - tiny; /* atan(-...,-INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1483 | } [ 186s] | ~ [ 186s] 1484 | } [ 186s] | ~ [ 186s] 1485 | } [ 186s] | ~ [ 186s] 1486 | /* when y is INF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1487 | if (iy == 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1488 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1489 | [ 186s] | [ 186s] 1490 | /* compute y/x */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1491 | k = (iy - ix) >> 20; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1492 | if (k > 60) { /* |y/x| > 2**60 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1493 | z = pi_o_2 + 0.5 * pi_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1494 | m &= 1; [ 186s] | ~~~~~~~ [ 186s] 1495 | } else if (hx < 0 && k < -60) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1496 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1497 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1498 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1499 | } [ 186s] | ~ [ 186s] 1500 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1501 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1502 | return z; /* atan(+,+) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1503 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1504 | return -z; /* atan(-,+) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1505 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1506 | return pi - (z - pi_lo); /* atan(+,-) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1507 | default: /* case 3 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1508 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1509 | } [ 186s] | ~ [ 186s] 1510 | } [ 186s] | ~ [ 186s] 1511 | [ 186s] | [ 186s] 1512 | /* cos(x) [ 186s] | ~~~~~~~~~ [ 186s] 1513 | * Return cosine function of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1514 | * [ 186s] | ~ [ 186s] 1515 | * kernel function: [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1516 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1517 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1518 | * __ieee754_rem_pio2 ... argument reduction routine [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1519 | * [ 186s] | ~ [ 186s] 1520 | * Method. [ 186s] | ~~~~~~~~~ [ 186s] 1521 | * Let S,C and T denote the sin, cos and tan respectively on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1522 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1523 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1524 | * We have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1525 | * [ 186s] | ~ [ 186s] 1526 | * n sin(x) cos(x) tan(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1527 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1528 | * 0 S C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1529 | * 1 C -S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1530 | * 2 -S -C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1531 | * 3 -C S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1532 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1533 | * [ 186s] | ~ [ 186s] 1534 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1535 | * Let trig be any of sin, cos, or tan. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1536 | * trig(+-INF) is NaN, with signals; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1537 | * trig(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1538 | * [ 186s] | ~ [ 186s] 1539 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1540 | * TRIG(x) returns trig(x) nearly rounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1541 | */ [ 186s] | ~~ [ 186s] 1542 | double cos(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1543 | { [ 186s] | ~ [ 186s] 1544 | double y[2], z = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1545 | int32_t n, ix; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1546 | [ 186s] | [ 186s] 1547 | /* High word of x. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1548 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1549 | [ 186s] | [ 186s] 1550 | /* |x| ~< pi/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1551 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1552 | if (ix <= 0x3FE921FB) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1553 | return __kernel_cos(x, z); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1554 | } else if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1555 | /* cos(Inf or NaN) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1556 | return x - x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1557 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1558 | /* argument reduction needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1559 | n = __ieee754_rem_pio2(x, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1560 | switch (n & 3) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1561 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1562 | return __kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1563 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1564 | return -__kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1565 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1566 | return -__kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1567 | default: [ 186s] | ~~~~~~~~ [ 186s] 1568 | return __kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1569 | } [ 186s] | ~ [ 186s] 1570 | } [ 186s] | ~ [ 186s] 1571 | } [ 186s] | ~ [ 186s] 1572 | [ 186s] | [ 186s] 1573 | /* exp(x) [ 186s] | ~~~~~~~~~ [ 186s] 1574 | * Returns the exponential of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1575 | * [ 186s] | ~ [ 186s] 1576 | * Method [ 186s] | ~~~~~~~~ [ 186s] 1577 | * 1. Argument reduction: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1578 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1579 | * Given x, find r and integer k such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1580 | * [ 186s] | ~ [ 186s] 1581 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1582 | * [ 186s] | ~ [ 186s] 1583 | * Here r will be represented as r = hi-lo for better [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1584 | * accuracy. [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1585 | * [ 186s] | ~ [ 186s] 1586 | * 2. Approximation of exp(r) by a special rational function on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1587 | * the interval [0,0.34658]: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1588 | * Write [ 186s] | ~~~~~~~~~~~~ [ 186s] 1589 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1590 | * We use a special Remes algorithm on [0,0.34658] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1591 | * a polynomial of degree 5 to approximate R. The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1592 | * of this polynomial approximation is bounded by 2**-59. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1593 | * other words, [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1594 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1595 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1596 | * and [ 186s] | ~~~~~~~~~~ [ 186s] 1597 | * | 5 | -59 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1598 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1599 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1600 | * The computation of exp(r) thus becomes [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1601 | * 2*r [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1602 | * exp(r) = 1 + ------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1603 | * R - r [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1604 | * r*R1(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1605 | * = 1 + r + ----------- (for better accuracy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1606 | * 2 - R1(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1607 | * where [ 186s] | ~~~~~~~~~~~~ [ 186s] 1608 | * 2 4 10 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1609 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1610 | * [ 186s] | ~ [ 186s] 1611 | * 3. Scale back to obtain exp(x): [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1612 | * From step 1, we have [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1613 | * exp(x) = 2^k * exp(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1614 | * [ 186s] | ~ [ 186s] 1615 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1616 | * exp(INF) is INF, exp(NaN) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1617 | * exp(-INF) is 0, and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1618 | * for finite argument, only exp(0)=1 is exact. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1619 | * [ 186s] | ~ [ 186s] 1620 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1621 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1622 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1623 | * [ 186s] | ~ [ 186s] 1624 | * Misc. info. [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1625 | * For IEEE double [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1626 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1627 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1628 | * [ 186s] | ~ [ 186s] 1629 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1630 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1631 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1632 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1633 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1634 | */ [ 186s] | ~~ [ 186s] 1635 | double exp(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1636 | { [ 186s] | ~ [ 186s] 1637 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1638 | one [ 186s] | ~~~ [ 186s] 1639 | = 1.0, [ 186s] | ~~~~~~ [ 186s] 1640 | halF[2] = { 0.5, -0.5 }, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1641 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1642 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1643 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1644 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1645 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1646 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1647 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1648 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1649 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1650 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1651 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1652 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1653 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1654 | [ 186s] | [ 186s] 1655 | constexpr volatile double [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1656 | huge [ 186s] | ~~~~ [ 186s] 1657 | = 1.0e+300, [ 186s] | ~~~~~~~~~~~ [ 186s] 1658 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1659 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1660 | [ 186s] | [ 186s] 1661 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1662 | int32_t k = 0, xsb; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1663 | uint32_t hx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1664 | [ 186s] | [ 186s] 1665 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1666 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1667 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1668 | [ 186s] | [ 186s] 1669 | /* filter out non-finite argument */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1670 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1671 | if (hx >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1672 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1673 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1674 | if (((hx & 0xFFFFF) | lx) != 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1675 | return x + x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1676 | else [ 186s] | ~~~~ [ 186s] 1677 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1678 | } [ 186s] | ~ [ 186s] 1679 | if (x > o_threshold) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1680 | return huge * huge; /* overflow */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1681 | if (x < u_threshold) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1682 | return twom1000 * twom1000; /* underflow */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1683 | } [ 186s] | ~ [ 186s] 1684 | [ 186s] | [ 186s] 1685 | /* argument reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1686 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1687 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1688 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1689 | * value of E, as the computation below would get the last bit [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1690 | * wrong. We should probably fix the algorithm instead. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1691 | */ [ 186s] | ~~ [ 186s] 1692 | if (x == 1.0) [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1693 | return E; [ 186s] | ~~~~~~~~~ [ 186s] 1694 | hi = x - ln2HI[xsb]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1695 | lo = ln2LO[xsb]; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1696 | k = 1 - xsb - xsb; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1697 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1698 | k = static_cast(invln2 * x + halF[xsb]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1699 | t = k; [ 186s] | ~~~~~~ [ 186s] 1700 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1701 | lo = t * ln2LO[0]; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1702 | } [ 186s] | ~ [ 186s] 1703 | STRICT_ASSIGN(double, x, hi - lo); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1704 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1705 | if (huge + x > one) [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1706 | return one + x; /* trigger inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1707 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1708 | k = 0; [ 186s] | ~~~~~~ [ 186s] 1709 | } [ 186s] | ~ [ 186s] 1710 | [ 186s] | [ 186s] 1711 | /* x is now in primary range */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1712 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1713 | if (k >= -1021) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1714 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1715 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1716 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1717 | } [ 186s] | ~ [ 186s] 1718 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1719 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1720 | return one - ((x * c) / (c - 2.0) - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1721 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1722 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1723 | } [ 186s] | ~ [ 186s] 1724 | if (k >= -1021) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1725 | if (k == 1024) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1726 | return y * 2.0 * two1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1727 | return y * twopk; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1728 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1729 | return y * twopk * twom1000; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1730 | } [ 186s] | ~ [ 186s] 1731 | } [ 186s] | ~ [ 186s] 1732 | [ 186s] | [ 186s] 1733 | /* [ 186s] | ~~ [ 186s] 1734 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1735 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1736 | * 2.For x>=0.5 [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1737 | * 1 2x x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1738 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1739 | * 2 1 - x 1 - x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1740 | * [ 186s] | ~ [ 186s] 1741 | * For x<0.5 [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1742 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1743 | * [ 186s] | ~ [ 186s] 1744 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1745 | * atanh(x) is NaN if |x| > 1 with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1746 | * atanh(NaN) is that NaN with no signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1747 | * atanh(+-1) is +-INF with signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1748 | * [ 186s] | ~ [ 186s] 1749 | */ [ 186s] | ~~ [ 186s] 1750 | double atanh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1751 | { [ 186s] | ~ [ 186s] 1752 | constexpr double one = 1.0, huge = 1e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1753 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1754 | [ 186s] | [ 186s] 1755 | double t; [ 186s] | ~~~~~~~~~ [ 186s] 1756 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1757 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1758 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1759 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1760 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1761 | return (x - x) / (x - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1762 | if (ix == 0x3FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1763 | return x / zero; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1764 | if (ix < 0x3E300000 && (huge + x) > zero) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1765 | return x; /* x<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1766 | SET_HIGH_WORD(x, ix); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1767 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1768 | t = x + x; [ 186s] | ~~~~~~~~~~ [ 186s] 1769 | t = 0.5 * log1p(t + t * x / (one - x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1770 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1771 | t = 0.5 * log1p((x + x) / (one - x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1772 | } [ 186s] | ~ [ 186s] 1773 | if (hx >= 0) [ 186s] | ~~~~~~~~~~~~ [ 186s] 1774 | return t; [ 186s] | ~~~~~~~~~ [ 186s] 1775 | else [ 186s] | ~~~~ [ 186s] 1776 | return -t; [ 186s] | ~~~~~~~~~~ [ 186s] 1777 | } [ 186s] | ~ [ 186s] 1778 | [ 186s] | [ 186s] 1779 | /* log(x) [ 186s] | ~~~~~~~~~ [ 186s] 1780 | * Return the logrithm of x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1781 | * [ 186s] | ~ [ 186s] 1782 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1783 | * 1. Argument Reduction: find k and f such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1784 | * x = 2^k * (1+f), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1785 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1786 | * [ 186s] | ~ [ 186s] 1787 | * 2. Approximation of log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1788 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1789 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1790 | * = 2s + s*R [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1791 | * We use a special Reme algorithm on [0,0.1716] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1792 | * a polynomial of degree 14 to approximate R The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1793 | * of this polynomial approximation is bounded by 2**-58.45. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1794 | * other words, [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1795 | * 2 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1796 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1797 | * (the values of Lg1 to Lg7 are listed in the program) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1798 | * and [ 186s] | ~~~~~~ [ 186s] 1799 | * | 2 14 | -58.45 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1800 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1801 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1802 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1803 | * In order to guarantee error in log below 1ulp, we compute log [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1804 | * by [ 186s] | ~~~~~ [ 186s] 1805 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1806 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1807 | * [ 186s] | ~ [ 186s] 1808 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1809 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1810 | * Here ln2 is split into two floating point number: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1811 | * ln2_hi + ln2_lo, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1812 | * where n*ln2_hi is always exact for |n| < 2000. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1813 | * [ 186s] | ~ [ 186s] 1814 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1815 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1816 | * log(+INF) is +INF; log(0) is -INF with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1817 | * log(NaN) is that NaN with no signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1818 | * [ 186s] | ~ [ 186s] 1819 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1820 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1821 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1822 | * [ 186s] | ~ [ 186s] 1823 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1824 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1825 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1826 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1827 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1828 | */ [ 186s] | ~~ [ 186s] 1829 | double log(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1830 | { [ 186s] | ~ [ 186s] 1831 | constexpr double /* -- */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1832 | ln2_hi [ 186s] | ~~~~~~ [ 186s] 1833 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1834 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1835 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1836 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1837 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1838 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1839 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1840 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1841 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1842 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1843 | [ 186s] | [ 186s] 1844 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1845 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1846 | [ 186s] | [ 186s] 1847 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1848 | int32_t k, hx, i, j; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1849 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1850 | [ 186s] | [ 186s] 1851 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1852 | [ 186s] | [ 186s] 1853 | k = 0; [ 186s] | ~~~~~~ [ 186s] 1854 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1855 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1856 | return -two54 / vzero; /* log(+-0)=-inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1857 | if (hx < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1858 | return (x - x) / zero; /* log(-#) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1859 | k -= 54; [ 186s] | ~~~~~~~~ [ 186s] 1860 | x *= two54; /* subnormal number, scale up x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1861 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1862 | } [ 186s] | ~ [ 186s] 1863 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1864 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1865 | k += (hx >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1866 | hx &= 0x000FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1867 | i = (hx + 0x95F64) & 0x100000; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1868 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1869 | k += (i >> 20); [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1870 | f = x - 1.0; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1871 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1872 | if (f == zero) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1873 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1874 | return zero; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1875 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1876 | dk = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1877 | return dk * ln2_hi + dk * ln2_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1878 | } [ 186s] | ~ [ 186s] 1879 | } [ 186s] | ~ [ 186s] 1880 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1881 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1882 | return f - R; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1883 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1884 | dk = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1885 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1886 | } [ 186s] | ~ [ 186s] 1887 | } [ 186s] | ~ [ 186s] 1888 | s = f / (2.0 + f); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1889 | dk = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1890 | z = s * s; [ 186s] | ~~~~~~~~~~ [ 186s] 1891 | i = hx - 0x6147A; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1892 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 1893 | j = 0x6B851 - hx; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1894 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1895 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1896 | i |= j; [ 186s] | ~~~~~~~ [ 186s] 1897 | R = t2 + t1; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1898 | if (i > 0) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1899 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1900 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1901 | return f - (hfsq - s * (hfsq + R)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1902 | else [ 186s] | ~~~~ [ 186s] 1903 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1904 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1905 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1906 | return f - s * (f - R); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1907 | else [ 186s] | ~~~~ [ 186s] 1908 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1909 | } [ 186s] | ~ [ 186s] 1910 | } [ 186s] | ~ [ 186s] 1911 | [ 186s] | [ 186s] 1912 | /* double log1p(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1913 | * [ 186s] | ~ [ 186s] 1914 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1915 | * 1. Argument Reduction: find k and f such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1916 | * 1+x = 2^k * (1+f), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1917 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1918 | * [ 186s] | ~ [ 186s] 1919 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1920 | * may not be representable exactly. In that case, a correction [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1921 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1922 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1923 | * and add back the correction term c/u. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1924 | * (Note: when x > 2**53, one can simply return log(x)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1925 | * [ 186s] | ~ [ 186s] 1926 | * 2. Approximation of log1p(f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1927 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1928 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1929 | * = 2s + s*R [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1930 | * We use a special Reme algorithm on [0,0.1716] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1931 | * a polynomial of degree 14 to approximate R The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1932 | * of this polynomial approximation is bounded by 2**-58.45. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1933 | * other words, [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1934 | * 2 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1935 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1936 | * (the values of Lp1 to Lp7 are listed in the program) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1937 | * and [ 186s] | ~~~~~~ [ 186s] 1938 | * | 2 14 | -58.45 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1939 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1940 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1941 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1942 | * In order to guarantee error in log below 1ulp, we compute log [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1943 | * by [ 186s] | ~~~~~ [ 186s] 1944 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1945 | * [ 186s] | ~ [ 186s] 1946 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1947 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1948 | * Here ln2 is split into two floating point number: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1949 | * ln2_hi + ln2_lo, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1950 | * where n*ln2_hi is always exact for |n| < 2000. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1951 | * [ 186s] | ~ [ 186s] 1952 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1953 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1954 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1955 | * log1p(NaN) is that NaN with no signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1956 | * [ 186s] | ~ [ 186s] 1957 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1958 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1959 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1960 | * [ 186s] | ~ [ 186s] 1961 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1962 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1963 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1964 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1965 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1966 | * [ 186s] | ~ [ 186s] 1967 | * Note: Assuming log() return accurate answer, the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1968 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1969 | * [ 186s] | ~ [ 186s] 1970 | * u = 1+x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1971 | * if(u==1.0) return x ; else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1972 | * return log(u)*(x/(u-1.0)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1973 | * [ 186s] | ~ [ 186s] 1974 | * See HP-15C Advanced Functions Handbook, p.193. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1975 | */ [ 186s] | ~~ [ 186s] 1976 | double log1p(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1977 | { [ 186s] | ~ [ 186s] 1978 | constexpr double /* -- */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1979 | ln2_hi [ 186s] | ~~~~~~ [ 186s] 1980 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1981 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1982 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1983 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1984 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1985 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1986 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1987 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1988 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1989 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1990 | [ 186s] | [ 186s] 1991 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1992 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1993 | [ 186s] | [ 186s] 1994 | double hfsq, f, c, s, z, R, u; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1995 | int32_t k, hx, hu, ax; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1996 | [ 186s] | [ 186s] 1997 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1998 | ax = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1999 | [ 186s] | [ 186s] 2000 | c = 0; [ 186s] | ~~~~~~ [ 186s] 2001 | k = 1; [ 186s] | ~~~~~~ [ 186s] 2002 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2003 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2004 | if (x == -1.0) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2005 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2006 | else [ 186s] | ~~~~ [ 186s] 2007 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2008 | } [ 186s] | ~ [ 186s] 2009 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2010 | if (two54 + x > zero /* raise inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2011 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2012 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 2013 | else [ 186s] | ~~~~ [ 186s] 2014 | return x - x * x * 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2015 | } [ 186s] | ~ [ 186s] 2016 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2017 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2018 | f = x; [ 186s] | ~~~~~~ [ 186s] 2019 | hu = 1; [ 186s] | ~~~~~~~ [ 186s] 2020 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2021 | } [ 186s] | ~ [ 186s] 2022 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2023 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2024 | if (k != 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2025 | if (hx < 0x43400000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2026 | STRICT_ASSIGN(double, u, 1.0 + x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2027 | GET_HIGH_WORD(hu, u); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2028 | k = (hu >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2029 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2030 | c /= u; [ 186s] | ~~~~~~~ [ 186s] 2031 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2032 | u = x; [ 186s] | ~~~~~~ [ 186s] 2033 | GET_HIGH_WORD(hu, u); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2034 | k = (hu >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2035 | c = 0; [ 186s] | ~~~~~~ [ 186s] 2036 | } [ 186s] | ~ [ 186s] 2037 | hu &= 0x000FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2038 | /* [ 186s] | ~~ [ 186s] 2039 | * The approximation to sqrt(2) used in thresholds is not [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2040 | * critical. However, the ones used above must give less [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2041 | * strict bounds than the one here so that the k==0 case is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2042 | * never reached from here, since here we have committed to [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2043 | * using the correction term but don't use it if k==0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2044 | */ [ 186s] | ~~ [ 186s] 2045 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2046 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2047 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2048 | k += 1; [ 186s] | ~~~~~~~ [ 186s] 2049 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2050 | hu = (0x00100000 - hu) >> 2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2051 | } [ 186s] | ~ [ 186s] 2052 | f = u - 1.0; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2053 | } [ 186s] | ~ [ 186s] 2054 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2055 | if (hu == 0) { /* |f| < 2**-20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2056 | if (f == zero) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2057 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2058 | return zero; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2059 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2060 | c += k * ln2_lo; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2061 | return k * ln2_hi + c; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2062 | } [ 186s] | ~ [ 186s] 2063 | } [ 186s] | ~ [ 186s] 2064 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2065 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2066 | return f - R; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2067 | else [ 186s] | ~~~~ [ 186s] 2068 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2069 | } [ 186s] | ~ [ 186s] 2070 | s = f / (2.0 + f); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2071 | z = s * s; [ 186s] | ~~~~~~~~~~ [ 186s] 2072 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2073 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2074 | return f - (hfsq - s * (hfsq + R)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2075 | else [ 186s] | ~~~~ [ 186s] 2076 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2077 | } [ 186s] | ~ [ 186s] 2078 | [ 186s] | [ 186s] 2079 | /* [ 186s] | ~~ [ 186s] 2080 | * k_log1p(f): [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2081 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2082 | * [ 186s] | ~ [ 186s] 2083 | * The following describes the overall strategy for computing [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2084 | * logarithms in base e. The argument reduction and adding the final [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2085 | * term of the polynomial are done by the caller for increased accuracy [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2086 | * when different bases are used. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2087 | * [ 186s] | ~ [ 186s] 2088 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2089 | * 1. Argument Reduction: find k and f such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2090 | * x = 2^k * (1+f), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2091 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2092 | * [ 186s] | ~ [ 186s] 2093 | * 2. Approximation of log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2094 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2095 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2096 | * = 2s + s*R [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2097 | * We use a special Reme algorithm on [0,0.1716] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2098 | * a polynomial of degree 14 to approximate R The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2099 | * of this polynomial approximation is bounded by 2**-58.45. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2100 | * other words, [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2101 | * 2 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2102 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2103 | * (the values of Lg1 to Lg7 are listed in the program) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2104 | * and [ 186s] | ~~~~~~~~~~ [ 186s] 2105 | * | 2 14 | -58.45 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2106 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2107 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2108 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2109 | * In order to guarantee error in log below 1ulp, we compute log [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2110 | * by [ 186s] | ~~~~~~~~~ [ 186s] 2111 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2112 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2113 | * [ 186s] | ~ [ 186s] 2114 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2115 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2116 | * Here ln2 is split into two floating point number: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2117 | * ln2_hi + ln2_lo, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2118 | * where n*ln2_hi is always exact for |n| < 2000. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2119 | * [ 186s] | ~ [ 186s] 2120 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2121 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2122 | * log(+INF) is +INF; log(0) is -INF with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2123 | * log(NaN) is that NaN with no signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2124 | * [ 186s] | ~ [ 186s] 2125 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2126 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2127 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2128 | * [ 186s] | ~ [ 186s] 2129 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 2130 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2131 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2132 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2133 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2134 | */ [ 186s] | ~~ [ 186s] 2135 | [ 186s] | [ 186s] 2136 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2137 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2138 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2139 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2140 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2141 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2142 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2143 | [ 186s] | [ 186s] 2144 | /* [ 186s] | ~~ [ 186s] 2145 | * We always inline k_log1p(), since doing so produces a [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2146 | * substantial performance improvement (~40% on amd64). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2147 | */ [ 186s] | ~~ [ 186s] 2148 | static inline double k_log1p(double f) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2149 | { [ 186s] | ~ [ 186s] 2150 | double hfsq, s, z, R, w, t1, t2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2151 | [ 186s] | [ 186s] 2152 | s = f / (2.0 + f); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2153 | z = s * s; [ 186s] | ~~~~~~~~~~ [ 186s] 2154 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 2155 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2156 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2157 | R = t2 + t1; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2158 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2159 | return s * (hfsq + R); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2160 | } [ 186s] | ~ [ 186s] 2161 | [ 186s] | [ 186s] 2162 | /* [ 186s] | ~~ [ 186s] 2163 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2164 | * comments. [ 186s] | ~~~~~~~~~~~ [ 186s] 2165 | * [ 186s] | ~ [ 186s] 2166 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2167 | * then does the combining and scaling steps [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2168 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2169 | * in not-quite-routine extra precision. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2170 | */ [ 186s] | ~~ [ 186s] 2171 | double log2(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2172 | { [ 186s] | ~ [ 186s] 2173 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2174 | two54 [ 186s] | ~~~~~ [ 186s] 2175 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2176 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2177 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2178 | [ 186s] | [ 186s] 2179 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2180 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2181 | [ 186s] | [ 186s] 2182 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2183 | int32_t i, k, hx; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2184 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2185 | [ 186s] | [ 186s] 2186 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2187 | [ 186s] | [ 186s] 2188 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2189 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2190 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2191 | return -two54 / vzero; /* log(+-0)=-inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2192 | if (hx < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2193 | return (x - x) / zero; /* log(-#) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2194 | k -= 54; [ 186s] | ~~~~~~~~ [ 186s] 2195 | x *= two54; /* subnormal number, scale up x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2196 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2197 | } [ 186s] | ~ [ 186s] 2198 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2199 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2200 | if (hx == 0x3FF00000 && lx == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2201 | return zero; /* log(1) = +0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2202 | k += (hx >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2203 | hx &= 0x000FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2204 | i = (hx + 0x95F64) & 0x100000; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2205 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2206 | k += (i >> 20); [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2207 | y = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2208 | f = x - 1.0; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2209 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2210 | r = k_log1p(f); [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2211 | [ 186s] | [ 186s] 2212 | /* [ 186s] | ~~ [ 186s] 2213 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2214 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2215 | * This is fairly efficient since f-hfsq only depends on f, so can [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2216 | * be evaluated in parallel with R. Not combining hfsq with R also [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2217 | * keeps R small (though not as small as a true `lo' term would be), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2218 | * so that extra precision is not needed for terms involving R. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2219 | * [ 186s] | ~ [ 186s] 2220 | * Compiler bugs involving extra precision used to break Dekker's [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2221 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2222 | * or the multi-precision calculations were avoided when double_t [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2223 | * has extra precision. These problems are now automatically [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2224 | * avoided as a side effect of the optimization of combining the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2225 | * Dekker splitting step with the clear-low-bits step. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2226 | * [ 186s] | ~ [ 186s] 2227 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2228 | * precision to avoid a very large cancellation when x is very near [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2229 | * these values. Unlike the above cancellations, this problem is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2230 | * specific to base 2. It is strange that adding +-1 is so much [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2231 | * harder than adding +-ln2 or +-log10_2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2232 | * [ 186s] | ~ [ 186s] 2233 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2234 | * compiler bugs are back in some configurations, sigh. And I [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2235 | * don't want to used double_t to avoid them, since that gives a [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2236 | * pessimization and the support for avoiding the pessimization [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2237 | * is not yet available. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2238 | * [ 186s] | ~ [ 186s] 2239 | * The multi-precision calculations for the multiplications are [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2240 | * routine. [ 186s] | ~~~~~~~~~~ [ 186s] 2241 | */ [ 186s] | ~~ [ 186s] 2242 | hi = f - hfsq; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2243 | SET_LOW_WORD(hi, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2244 | lo = (f - hi) - hfsq + r; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2245 | val_hi = hi * ivln2hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2246 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2247 | [ 186s] | [ 186s] 2248 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2249 | w = y + val_hi; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2250 | val_lo += (y - w) + val_hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2251 | val_hi = w; [ 186s] | ~~~~~~~~~~~ [ 186s] 2252 | [ 186s] | [ 186s] 2253 | return val_lo + val_hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2254 | } [ 186s] | ~ [ 186s] 2255 | [ 186s] | [ 186s] 2256 | /* [ 186s] | ~~ [ 186s] 2257 | * Return the base 10 logarithm of x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2258 | * [ 186s] | ~ [ 186s] 2259 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2260 | * Let log10_2hi = leading 40 bits of log10(2) and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2261 | * log10_2lo = log10(2) - log10_2hi, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2262 | * ivln10 = 1/log(10) rounded. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2263 | * Then [ 186s] | ~~~~~~~~~~~ [ 186s] 2264 | * n = ilogb(x), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2265 | * if(n<0) n = n+1; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2266 | * x = scalbn(x,-n); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2267 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2268 | * [ 186s] | ~ [ 186s] 2269 | * Note 1: [ 186s] | ~~~~~~~~~~ [ 186s] 2270 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2271 | * mode must set to Round-to-Nearest. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2272 | * Note 2: [ 186s] | ~~~~~~~~~~ [ 186s] 2273 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2274 | * log10 is monotonic at all binary break points. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2275 | * [ 186s] | ~ [ 186s] 2276 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2277 | * log10(x) is NaN if x < 0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2278 | * log10(+INF) is +INF; log10(0) is -INF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2279 | * log10(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2280 | * log10(10**N) = N for N=0,1,...,22. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2281 | */ [ 186s] | ~~ [ 186s] 2282 | double log10(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2283 | { [ 186s] | ~ [ 186s] 2284 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2285 | two54 [ 186s] | ~~~~~ [ 186s] 2286 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2287 | ivln10 = 4.34294481903251816668e-01, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2288 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2289 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2290 | [ 186s] | [ 186s] 2291 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2292 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2293 | [ 186s] | [ 186s] 2294 | double y; [ 186s] | ~~~~~~~~~ [ 186s] 2295 | int32_t i, k, hx; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2296 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2297 | [ 186s] | [ 186s] 2298 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2299 | [ 186s] | [ 186s] 2300 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2301 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2302 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2303 | return -two54 / vzero; /* log(+-0)=-inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2304 | if (hx < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2305 | return (x - x) / zero; /* log(-#) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2306 | k -= 54; [ 186s] | ~~~~~~~~ [ 186s] 2307 | x *= two54; /* subnormal number, scale up x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2308 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2309 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2310 | } [ 186s] | ~ [ 186s] 2311 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2312 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2313 | if (hx == 0x3FF00000 && lx == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2314 | return zero; /* log(1) = +0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2315 | k += (hx >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2316 | [ 186s] | [ 186s] 2317 | i = (k & 0x80000000) >> 31; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2318 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2319 | y = k + i; [ 186s] | ~~~~~~~~~~ [ 186s] 2320 | SET_HIGH_WORD(x, hx); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2321 | SET_LOW_WORD(x, lx); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2322 | [ 186s] | [ 186s] 2323 | double z = y * log10_2lo + ivln10 * log(x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2324 | return z + y * log10_2hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2325 | } [ 186s] | ~ [ 186s] 2326 | [ 186s] | [ 186s] 2327 | /* expm1(x) [ 186s] | ~~~~~~~~~~~ [ 186s] 2328 | * Returns exp(x)-1, the exponential of x minus 1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2329 | * [ 186s] | ~ [ 186s] 2330 | * Method [ 186s] | ~~~~~~~~ [ 186s] 2331 | * 1. Argument reduction: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2332 | * Given x, find r and integer k such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2333 | * [ 186s] | ~ [ 186s] 2334 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2335 | * [ 186s] | ~ [ 186s] 2336 | * Here a correction term c will be computed to compensate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2337 | * the error in r when rounded to a floating-point number. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2338 | * [ 186s] | ~ [ 186s] 2339 | * 2. Approximating expm1(r) by a special rational function on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2340 | * the interval [0,0.34658]: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2341 | * Since [ 186s] | ~~~~~~~~ [ 186s] 2342 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2343 | * we define R1(r*r) by [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2344 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2345 | * That is, [ 186s] | ~~~~~~~~~~~ [ 186s] 2346 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2347 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2348 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2349 | * We use a special Reme algorithm on [0,0.347] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2350 | * a polynomial of degree 5 in r*r to approximate R1. The [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2351 | * maximum error of this polynomial approximation is bounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2352 | * by 2**-61. In other words, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2353 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2354 | * where Q1 = -1.6666666666666567384E-2, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2355 | * Q2 = 3.9682539681370365873E-4, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2356 | * Q3 = -9.9206344733435987357E-6, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2357 | * Q4 = 2.5051361420808517002E-7, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2358 | * Q5 = -6.2843505682382617102E-9; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2359 | * z = r*r, [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2360 | * with error bounded by [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2361 | * | 5 | -61 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2362 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2363 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2364 | * [ 186s] | ~ [ 186s] 2365 | * expm1(r) = exp(r)-1 is then computed by the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2366 | * specific way which minimize the accumulation rounding error: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2367 | * 2 3 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2368 | * r r [ 3 - (R1 + R1*r/2) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2369 | * expm1(r) = r + --- + --- * [--------------------] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2370 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2371 | * [ 186s] | ~ [ 186s] 2372 | * To compensate the error in the argument reduction, we use [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2373 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2374 | * ~ expm1(r) + c + r*c [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2375 | * Thus c+r*c will be added in as the correction terms for [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2376 | * expm1(r+c). Now rearrange the term to avoid optimization [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2377 | * screw up: [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2378 | * ( 2 2 ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2379 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2380 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2381 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2382 | * ( ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2383 | * [ 186s] | ~ [ 186s] 2384 | * = r - E [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2385 | * 3. Scale back to obtain expm1(x): [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2386 | * From step 1, we have [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2387 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2388 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2389 | * 4. Implementation notes: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2390 | * (A). To save one multiplication, we scale the coefficient Qi [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2391 | * to Qi*2^i, and replace z by (x^2)/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2392 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2393 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2394 | * (ii) if k=0, return r-E [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2395 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2396 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2397 | * else return 1.0+2.0*(r-E); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2398 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2399 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2400 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2401 | * [ 186s] | ~ [ 186s] 2402 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2403 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2404 | * expm1(-INF) is -1, and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2405 | * for finite argument, only expm1(0)=0 is exact. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2406 | * [ 186s] | ~ [ 186s] 2407 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2408 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2409 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2410 | * [ 186s] | ~ [ 186s] 2411 | * Misc. info. [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2412 | * For IEEE double [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2413 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2414 | * [ 186s] | ~ [ 186s] 2415 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 2416 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2417 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2418 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2419 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2420 | */ [ 186s] | ~~ [ 186s] 2421 | double expm1(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2422 | { [ 186s] | ~ [ 186s] 2423 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2424 | one [ 186s] | ~~~ [ 186s] 2425 | = 1.0, [ 186s] | ~~~~~~ [ 186s] 2426 | tiny = 1.0e-300, [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2427 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2428 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2429 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2430 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2431 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2432 | x*x/2: */ [ 186s] | ~~~~~~~~~ [ 186s] 2433 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2434 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2435 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2436 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2437 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2438 | [ 186s] | [ 186s] 2439 | constexpr volatile double huge = 1.0e+300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2440 | [ 186s] | [ 186s] 2441 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2442 | int32_t k, xsb; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2443 | uint32_t hx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2444 | [ 186s] | [ 186s] 2445 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2446 | xsb = hx & 0x80000000; /* sign bit of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2447 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2448 | [ 186s] | [ 186s] 2449 | /* filter out huge and non-finite argument */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2450 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2451 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2452 | if (hx >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2453 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2454 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2455 | if (((hx & 0xFFFFF) | low) != 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2456 | return x + x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2457 | else [ 186s] | ~~~~ [ 186s] 2458 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2459 | } [ 186s] | ~ [ 186s] 2460 | if (x > o_threshold) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2461 | return huge * huge; /* overflow */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2462 | } [ 186s] | ~ [ 186s] 2463 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2464 | /* raise inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2465 | return tiny - one; /* return -1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2466 | } [ 186s] | ~ [ 186s] 2467 | } [ 186s] | ~ [ 186s] 2468 | [ 186s] | [ 186s] 2469 | /* argument reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2470 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2471 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2472 | if (xsb == 0) { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2473 | hi = x - ln2_hi; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2474 | lo = ln2_lo; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2475 | k = 1; [ 186s] | ~~~~~~ [ 186s] 2476 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2477 | hi = x + ln2_hi; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2478 | lo = -ln2_lo; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2479 | k = -1; [ 186s] | ~~~~~~~ [ 186s] 2480 | } [ 186s] | ~ [ 186s] 2481 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2482 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2483 | t = k; [ 186s] | ~~~~~~ [ 186s] 2484 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2485 | lo = t * ln2_lo; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2486 | } [ 186s] | ~ [ 186s] 2487 | STRICT_ASSIGN(double, x, hi - lo); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2488 | c = (hi - x) - lo; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2489 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2490 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2491 | return x - (t - (huge + x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2492 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2493 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2494 | } [ 186s] | ~ [ 186s] 2495 | [ 186s] | [ 186s] 2496 | /* x is now in primary range */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2497 | hfx = 0.5 * x; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2498 | hxs = x * hfx; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2499 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2500 | t = 3.0 - r1 * hfx; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2501 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2502 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2503 | return x - (x * e - hxs); /* c is 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2504 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2505 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2506 | e = (x * (e - c) - c); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2507 | e -= hxs; [ 186s] | ~~~~~~~~~ [ 186s] 2508 | if (k == -1) [ 186s] | ~~~~~~~~~~~~ [ 186s] 2509 | return 0.5 * (x - e) - 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2510 | if (k == 1) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2511 | if (x < -0.25) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2512 | return -2.0 * (e - (x + 0.5)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2513 | else [ 186s] | ~~~~ [ 186s] 2514 | return one + 2.0 * (x - e); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2515 | } [ 186s] | ~ [ 186s] 2516 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2517 | y = one - (e - x); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2518 | // TODO(mvstanton): is this replacement for the hex float [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2519 | // sufficient? [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2520 | // if (k == 1024) y = y*2.0*0x1p1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2521 | if (k == 1024) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2522 | y = y * 2.0 * 8.98846567431158e+307; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2523 | else [ 186s] | ~~~~ [ 186s] 2524 | y = y * twopk; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2525 | return y - one; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2526 | } [ 186s] | ~ [ 186s] 2527 | t = one; [ 186s] | ~~~~~~~~ [ 186s] 2528 | if (k < 20) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2529 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2530 | y = t - (e - x); [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2531 | y = y * twopk; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2532 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2533 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2534 | y = x - (e + t); [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2535 | y += one; [ 186s] | ~~~~~~~~~ [ 186s] 2536 | y = y * twopk; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2537 | } [ 186s] | ~ [ 186s] 2538 | } [ 186s] | ~ [ 186s] 2539 | return y; [ 186s] | ~~~~~~~~~ [ 186s] 2540 | } [ 186s] | ~ [ 186s] 2541 | [ 186s] | [ 186s] 2542 | double cbrt(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2543 | { [ 186s] | ~ [ 186s] 2544 | constexpr uint32_t [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2545 | B1 [ 186s] | ~~ [ 186s] 2546 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2547 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2548 | [ 186s] | [ 186s] 2549 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2550 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2551 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2552 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2553 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2554 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2555 | [ 186s] | [ 186s] 2556 | int32_t hx; [ 186s] | ~~~~~~~~~~~ [ 186s] 2557 | union { [ 186s] | ~~~~~~~ [ 186s] 2558 | double value; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2559 | uint64_t bits; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2560 | } u; [ 186s] | ~~~~ [ 186s] 2561 | double r, s, t = 0.0, w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2562 | uint32_t sign; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2563 | uint32_t high, low; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2564 | [ 186s] | [ 186s] 2565 | EXTRACT_WORDS(hx, low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2566 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2567 | hx ^= sign; [ 186s] | ~~~~~~~~~~~ [ 186s] 2568 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2569 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2570 | [ 186s] | [ 186s] 2571 | /* [ 186s] | ~~ [ 186s] 2572 | * Rough cbrt to 5 bits: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2573 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2574 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2575 | * "%" are integer division and modulus with rounding towards minus [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2576 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2577 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2578 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2579 | * floating point representation, for finite positive normal values, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2580 | * ordinary integer division of the value in bits magically gives [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2581 | * almost exactly the RHS of the above provided we first subtract the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2582 | * exponent bias (1023 for doubles) and later add it back. We do the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2583 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2584 | * division rounds towards minus infinity; this is also efficient. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2585 | */ [ 186s] | ~~ [ 186s] 2586 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2587 | if ((hx | low) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2588 | return (x); /* cbrt(0) is itself */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2589 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2590 | t *= x; [ 186s] | ~~~~~~~ [ 186s] 2591 | GET_HIGH_WORD(high, t); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2592 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2593 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2594 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2595 | } [ 186s] | ~ [ 186s] 2596 | [ 186s] | [ 186s] 2597 | /* [ 186s] | ~~ [ 186s] 2598 | * New cbrt to 23 bits: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2599 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2600 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2601 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2602 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2603 | * gives us bounds for r = t**3/x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2604 | * [ 186s] | ~ [ 186s] 2605 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2606 | */ [ 186s] | ~~ [ 186s] 2607 | r = (t * t) * (t / x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2608 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2609 | [ 186s] | [ 186s] 2610 | /* [ 186s] | ~~ [ 186s] 2611 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2612 | * the result is larger in magnitude than cbrt(x) but not much more than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2613 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2614 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2615 | * in the rounded t, the infinite-precision error in the Newton [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2616 | * approximation barely affects third digit in the final error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2617 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2618 | * before the final error is larger than 0.667 ulps. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2619 | */ [ 186s] | ~~ [ 186s] 2620 | u.value = t; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2621 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2622 | t = u.value; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2623 | [ 186s] | [ 186s] 2624 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2625 | s = t * t; /* t*t is exact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2626 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2627 | w = t + t; /* t+t is exact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2628 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2629 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2630 | [ 186s] | [ 186s] 2631 | return (t); [ 186s] | ~~~~~~~~~~~ [ 186s] 2632 | } [ 186s] | ~ [ 186s] 2633 | [ 186s] | [ 186s] 2634 | /* sin(x) [ 186s] | ~~~~~~~~~ [ 186s] 2635 | * Return sine function of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2636 | * [ 186s] | ~ [ 186s] 2637 | * kernel function: [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2638 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2639 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2640 | * __ieee754_rem_pio2 ... argument reduction routine [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2641 | * [ 186s] | ~ [ 186s] 2642 | * Method. [ 186s] | ~~~~~~~~~ [ 186s] 2643 | * Let S,C and T denote the sin, cos and tan respectively on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2644 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2645 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2646 | * We have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2647 | * [ 186s] | ~ [ 186s] 2648 | * n sin(x) cos(x) tan(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2649 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2650 | * 0 S C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2651 | * 1 C -S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2652 | * 2 -S -C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2653 | * 3 -C S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2654 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2655 | * [ 186s] | ~ [ 186s] 2656 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2657 | * Let trig be any of sin, cos, or tan. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2658 | * trig(+-INF) is NaN, with signals; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2659 | * trig(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2660 | * [ 186s] | ~ [ 186s] 2661 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2662 | * TRIG(x) returns trig(x) nearly rounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2663 | */ [ 186s] | ~~ [ 186s] 2664 | double sin(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2665 | { [ 186s] | ~ [ 186s] 2666 | double y[2], z = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2667 | int32_t n, ix; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2668 | [ 186s] | [ 186s] 2669 | /* High word of x. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2670 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2671 | [ 186s] | [ 186s] 2672 | /* |x| ~< pi/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2673 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2674 | if (ix <= 0x3FE921FB) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2675 | return __kernel_sin(x, z, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2676 | } else if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2677 | /* sin(Inf or NaN) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2678 | return x - x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2679 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2680 | /* argument reduction needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2681 | n = __ieee754_rem_pio2(x, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2682 | switch (n & 3) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2683 | case 0: [ 186s] | ~~~~~~~ [ 186s] 2684 | return __kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2685 | case 1: [ 186s] | ~~~~~~~ [ 186s] 2686 | return __kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2687 | case 2: [ 186s] | ~~~~~~~ [ 186s] 2688 | return -__kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2689 | default: [ 186s] | ~~~~~~~~ [ 186s] 2690 | return -__kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2691 | } [ 186s] | ~ [ 186s] 2692 | } [ 186s] | ~ [ 186s] 2693 | } [ 186s] | ~ [ 186s] 2694 | [ 186s] | [ 186s] 2695 | /* tan(x) [ 186s] | ~~~~~~~~~ [ 186s] 2696 | * Return tangent function of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2697 | * [ 186s] | ~ [ 186s] 2698 | * kernel function: [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2699 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2700 | * __ieee754_rem_pio2 ... argument reduction routine [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2701 | * [ 186s] | ~ [ 186s] 2702 | * Method. [ 186s] | ~~~~~~~~~ [ 186s] 2703 | * Let S,C and T denote the sin, cos and tan respectively on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2704 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2705 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2706 | * We have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2707 | * [ 186s] | ~ [ 186s] 2708 | * n sin(x) cos(x) tan(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2709 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2710 | * 0 S C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2711 | * 1 C -S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2712 | * 2 -S -C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2713 | * 3 -C S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2714 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2715 | * [ 186s] | ~ [ 186s] 2716 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2717 | * Let trig be any of sin, cos, or tan. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2718 | * trig(+-INF) is NaN, with signals; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2719 | * trig(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2720 | * [ 186s] | ~ [ 186s] 2721 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2722 | * TRIG(x) returns trig(x) nearly rounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2723 | */ [ 186s] | ~~ [ 186s] 2724 | double tan(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2725 | { [ 186s] | ~ [ 186s] 2726 | double y[2], z = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2727 | int32_t n, ix; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2728 | [ 186s] | [ 186s] 2729 | /* High word of x. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2730 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2731 | [ 186s] | [ 186s] 2732 | /* |x| ~< pi/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2733 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2734 | if (ix <= 0x3FE921FB) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2735 | return __kernel_tan(x, z, 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2736 | } else if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2737 | /* tan(Inf or NaN) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2738 | return x - x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2739 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2740 | /* argument reduction needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2741 | n = __ieee754_rem_pio2(x, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2742 | /* 1 -> n even, -1 -> n odd */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2743 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2744 | } [ 186s] | ~ [ 186s] 2745 | } [ 186s] | ~ [ 186s] 2746 | [ 186s] | [ 186s] 2747 | /* [ 186s] | ~~ [ 186s] 2748 | * ES6 draft 09-27-13, section 20.2.2.12. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2749 | * Math.cosh [ 186s] | ~~~~~~~~~~~ [ 186s] 2750 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2751 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2752 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2753 | * 2. [ 186s] | ~~~~~~~~~ [ 186s] 2754 | * [ exp(x) - 1 ]^2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2755 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2756 | * 2*exp(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2757 | * [ 186s] | ~ [ 186s] 2758 | * exp(x) + 1/exp(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2759 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2760 | * 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2761 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2762 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2763 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2764 | * [ 186s] | ~ [ 186s] 2765 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2766 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2767 | * only cosh(0)=1 is exact for finite x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2768 | */ [ 186s] | ~~ [ 186s] 2769 | double cosh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2770 | { [ 186s] | ~ [ 186s] 2771 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2772 | constexpr double one = 1.0, half = 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2773 | constexpr volatile double huge = 1.0e+300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2774 | [ 186s] | [ 186s] 2775 | int32_t ix; [ 186s] | ~~~~~~~~~~~ [ 186s] 2776 | [ 186s] | [ 186s] 2777 | /* High word of |x|. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2778 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2779 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2780 | [ 186s] | [ 186s] 2781 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2782 | if (ix < 0x3FD62E43) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2783 | double t = expm1(fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2784 | double w = one + t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2785 | // For |x| < 2^-55, cosh(x) = 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2786 | if (ix < 0x3C800000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2787 | return w; [ 186s] | ~~~~~~~~~ [ 186s] 2788 | return one + (t * t) / (w + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2789 | } [ 186s] | ~ [ 186s] 2790 | [ 186s] | [ 186s] 2791 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2792 | if (ix < 0x40360000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2793 | double t = exp(fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2794 | return half * t + half / t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2795 | } [ 186s] | ~ [ 186s] 2796 | [ 186s] | [ 186s] 2797 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2798 | if (ix < 0x40862E42) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2799 | return half * exp(fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2800 | [ 186s] | [ 186s] 2801 | // |x| in [log(maxdouble), overflowthreshold] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2802 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2803 | double w = exp(half * fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2804 | double t = half * w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2805 | return t * w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2806 | } [ 186s] | ~ [ 186s] 2807 | [ 186s] | [ 186s] 2808 | /* x is INF or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2809 | if (ix >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2810 | return x * x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2811 | [ 186s] | [ 186s] 2812 | // |x| > overflowthreshold. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2813 | return huge * huge; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2814 | } [ 186s] | ~ [ 186s] 2815 | [ 186s] | [ 186s] 2816 | /* [ 186s] | ~~ [ 186s] 2817 | * ES6 draft 09-27-13, section 20.2.2.30. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2818 | * Math.sinh [ 186s] | ~~~~~~~~~~~ [ 186s] 2819 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2820 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2821 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2822 | * 2. [ 186s] | ~~~~~~~~~ [ 186s] 2823 | * E + E/(E+1) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2824 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2825 | * 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2826 | * [ 186s] | ~ [ 186s] 2827 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2828 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2829 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2830 | * [ 186s] | ~ [ 186s] 2831 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2832 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2833 | * only sinh(0)=0 is exact for finite x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2834 | */ [ 186s] | ~~ [ 186s] 2835 | double sinh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2836 | { [ 186s] | ~ [ 186s] 2837 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2838 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2839 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2840 | constexpr double shuge = 1.0e307; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2841 | [ 186s] | [ 186s] 2842 | double h = (x < 0) ? -0.5 : 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2843 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2844 | double ax = fabs(x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2845 | if (ax < 22) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2846 | // For |x| < 2^-28, sinh(x) = x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2847 | if (ax < TWO_M28) [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2848 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 2849 | double t = expm1(ax); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2850 | if (ax < 1) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2851 | return h * (2 * t - t * t / (t + 1)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2852 | } [ 186s] | ~ [ 186s] 2853 | return h * (t + t / (t + 1)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2854 | } [ 186s] | ~ [ 186s] 2855 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2856 | if (ax < LOG_MAXD) [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2857 | return h * exp(ax); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2858 | // |x| in [log(maxdouble), overflowthreshold] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2859 | // overflowthreshold = 710.4758600739426 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2860 | if (ax <= KSINH_OVERFLOW) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2861 | double w = exp(0.5 * ax); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2862 | double t = h * w; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2863 | return t * w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2864 | } [ 186s] | ~ [ 186s] 2865 | // |x| > overflowthreshold or is NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2866 | // Return Infinity of the appropriate sign or NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2867 | return x * shuge; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2868 | } [ 186s] | ~ [ 186s] 2869 | [ 186s] | [ 186s] 2870 | /* Tanh(x) [ 186s] | ~~~~~~~~~~ [ 186s] 2871 | * Return the Hyperbolic Tangent of x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2872 | * [ 186s] | ~ [ 186s] 2873 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2874 | * x -x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2875 | * e - e [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2876 | * 0. tanh(x) is defined to be ----------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2877 | * x -x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2878 | * e + e [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2879 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2880 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2881 | * -t [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2882 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2883 | * t + 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2884 | * 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2885 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2886 | * t + 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2887 | * 22 <= x <= INF : tanh(x) := 1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2888 | * [ 186s] | ~ [ 186s] 2889 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2890 | * tanh(NaN) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2891 | * only tanh(0)=0 is exact for finite argument. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2892 | */ [ 186s] | ~~ [ 186s] 2893 | double tanh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2894 | { [ 186s] | ~ [ 186s] 2895 | constexpr volatile double tiny = 1.0e-300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2896 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2897 | double t, z; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2898 | int32_t jx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2899 | [ 186s] | [ 186s] 2900 | GET_HIGH_WORD(jx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2901 | ix = jx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2902 | [ 186s] | [ 186s] 2903 | /* x is INF or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2904 | if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2905 | if (jx >= 0) [ 186s] | ~~~~~~~~~~~~ [ 186s] 2906 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2907 | else [ 186s] | ~~~~ [ 186s] 2908 | return one / x - one; /* tanh(NaN) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2909 | } [ 186s] | ~ [ 186s] 2910 | [ 186s] | [ 186s] 2911 | /* |x| < 22 */ [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2912 | if (ix < 0x40360000) { /* |x|<22 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2913 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2914 | return x; /* tanh(tiny) = tiny with inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2915 | } [ 186s] | ~ [ 186s] 2916 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2917 | t = expm1(two * fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2918 | z = one - two / (t + two); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2919 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2920 | t = expm1(-two * fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2921 | z = -t / (t + two); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2922 | } [ 186s] | ~ [ 186s] 2923 | /* |x| >= 22, return +-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2924 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2925 | z = one - tiny; /* raise inexact flag */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2926 | } [ 186s] | ~ [ 186s] 2927 | return (jx >= 0) ? z : -z; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2928 | } [ 186s] | ~ [ 186s] 2929 | [ 186s] | [ 186s] 2930 | double ceil(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2931 | { [ 186s] | ~ [ 186s] 2932 | constexpr double huge = 1.0e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2933 | int i0, i1, j0; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2934 | unsigned i, j; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2935 | i0 = __HI(x); [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2936 | i1 = __LO(x); [ 186s] | ~~~~~~~~~~~ [ 186s] third_party/escargot/src/runtime/IEEE754.cpp:2936:10: note: in expansion of macro '__LO' [ 186s] 2936 | i1 = __LO(x); [ 186s] | ^~~~ [ 186s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 186s] 86 | #define __LO(x) *(int *)&x [ 186s] | ^~~~~~~~~ [ 186s] 87 | #define __HIp(x) *(1 + (int *)x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 88 | #define __LOp(x) *(int *)x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 89 | [ 186s] | [ 186s] 90 | #else [ 186s] | ~~~~~ [ 186s] 91 | [ 186s] | [ 186s] 92 | typedef union { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 93 | double value; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 94 | struct { [ 186s] | ~~~~~~~~ [ 186s] 95 | uint32_t msw; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 96 | uint32_t lsw; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 97 | } parts; [ 186s] | ~~~~~~~~ [ 186s] 98 | struct { [ 186s] | ~~~~~~~~ [ 186s] 99 | uint64_t w; [ 186s] | ~~~~~~~~~~~ [ 186s] 100 | } xparts; [ 186s] | ~~~~~~~~~ [ 186s] 101 | } ieee_double_shape_type; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 102 | [ 186s] | [ 186s] 103 | #define __HI(x) *(int *)&x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 104 | #define __LO(x) *(1 + (int *)&x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 105 | #define __HIp(x) *(int *)x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 106 | #define __LOp(x) *(1 + (int *)x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 107 | [ 186s] | [ 186s] 108 | #endif [ 186s] | ~~~~~~ [ 186s] 109 | [ 186s] | [ 186s] 110 | /* Get two 32 bit ints from a double. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 111 | [ 186s] | [ 186s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 113 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 114 | ieee_double_shape_type ew_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 115 | ew_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 116 | (ix0) = ew_u.parts.msw; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 117 | (ix1) = ew_u.parts.lsw; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 118 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 119 | [ 186s] | [ 186s] 120 | /* Get a 64-bit int from a double. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 122 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 123 | ieee_double_shape_type ew_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 124 | ew_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 125 | (ix) = ew_u.xparts.w; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 126 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 127 | [ 186s] | [ 186s] 128 | /* Get the more significant 32 bit int from a double. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 129 | [ 186s] | [ 186s] 130 | #define GET_HIGH_WORD(i, d) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 131 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 132 | ieee_double_shape_type gh_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 133 | gh_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 134 | (i) = gh_u.parts.msw; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 135 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 136 | [ 186s] | [ 186s] 137 | /* Get the less significant 32 bit int from a double. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 138 | [ 186s] | [ 186s] 139 | #define GET_LOW_WORD(i, d) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 140 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 141 | ieee_double_shape_type gl_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 142 | gl_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 143 | (i) = gl_u.parts.lsw; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 144 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 145 | [ 186s] | [ 186s] 146 | /* Set a double from two 32 bit ints. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 147 | [ 186s] | [ 186s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 149 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 150 | ieee_double_shape_type iw_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 151 | iw_u.parts.msw = (ix0); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 152 | iw_u.parts.lsw = (ix1); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 153 | (d) = iw_u.value; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 154 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 155 | [ 186s] | [ 186s] 156 | /* Set a double from a 64-bit int. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 157 | #define INSERT_WORD64(d, ix) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 158 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 159 | ieee_double_shape_type iw_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 160 | iw_u.xparts.w = (ix); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 161 | (d) = iw_u.value; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 162 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 163 | [ 186s] | [ 186s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 165 | [ 186s] | [ 186s] 166 | #define SET_HIGH_WORD(d, v) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 167 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 168 | ieee_double_shape_type sh_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 169 | sh_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 170 | sh_u.parts.msw = (v); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 171 | (d) = sh_u.value; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 172 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 173 | [ 186s] | [ 186s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 175 | [ 186s] | [ 186s] 176 | #define SET_LOW_WORD(d, v) \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 177 | do { \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 178 | ieee_double_shape_type sl_u; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 179 | sl_u.value = (d); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 180 | sl_u.parts.lsw = (v); \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 181 | (d) = sl_u.value; \ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 182 | } while (0) [ 186s] | ~~~~~~~~~~~ [ 186s] 183 | [ 186s] | [ 186s] 184 | /* Support macro. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 185 | [ 186s] | [ 186s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 187 | [ 186s] | [ 186s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 193 | [ 186s] | [ 186s] 194 | /* __ieee754_rem_pio2(x,y) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 195 | * [ 186s] | ~ [ 186s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 197 | * use __kernel_rem_pio2() [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 198 | */ [ 186s] | ~~ [ 186s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 200 | { [ 186s] | ~ [ 186s] 201 | /* [ 186s] | ~~ [ 186s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 203 | */ [ 186s] | ~~ [ 186s] 204 | constexpr int32_t two_over_pi[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 205 | 0xA2F983, [ 186s] | ~~~~~~~~~ [ 186s] 206 | 0x6E4E44, [ 186s] | ~~~~~~~~~ [ 186s] 207 | 0x1529FC, [ 186s] | ~~~~~~~~~ [ 186s] 208 | 0x2757D1, [ 186s] | ~~~~~~~~~ [ 186s] 209 | 0xF534DD, [ 186s] | ~~~~~~~~~ [ 186s] 210 | 0xC0DB62, [ 186s] | ~~~~~~~~~ [ 186s] 211 | 0x95993C, [ 186s] | ~~~~~~~~~ [ 186s] 212 | 0x439041, [ 186s] | ~~~~~~~~~ [ 186s] 213 | 0xFE5163, [ 186s] | ~~~~~~~~~ [ 186s] 214 | 0xABDEBB, [ 186s] | ~~~~~~~~~ [ 186s] 215 | 0xC561B7, [ 186s] | ~~~~~~~~~ [ 186s] 216 | 0x246E3A, [ 186s] | ~~~~~~~~~ [ 186s] 217 | 0x424DD2, [ 186s] | ~~~~~~~~~ [ 186s] 218 | 0xE00649, [ 186s] | ~~~~~~~~~ [ 186s] 219 | 0x2EEA09, [ 186s] | ~~~~~~~~~ [ 186s] 220 | 0xD1921C, [ 186s] | ~~~~~~~~~ [ 186s] 221 | 0xFE1DEB, [ 186s] | ~~~~~~~~~ [ 186s] 222 | 0x1CB129, [ 186s] | ~~~~~~~~~ [ 186s] 223 | 0xA73EE8, [ 186s] | ~~~~~~~~~ [ 186s] 224 | 0x8235F5, [ 186s] | ~~~~~~~~~ [ 186s] 225 | 0x2EBB44, [ 186s] | ~~~~~~~~~ [ 186s] 226 | 0x84E99C, [ 186s] | ~~~~~~~~~ [ 186s] 227 | 0x7026B4, [ 186s] | ~~~~~~~~~ [ 186s] 228 | 0x5F7E41, [ 186s] | ~~~~~~~~~ [ 186s] 229 | 0x3991D6, [ 186s] | ~~~~~~~~~ [ 186s] 230 | 0x398353, [ 186s] | ~~~~~~~~~ [ 186s] 231 | 0x39F49C, [ 186s] | ~~~~~~~~~ [ 186s] 232 | 0x845F8B, [ 186s] | ~~~~~~~~~ [ 186s] 233 | 0xBDF928, [ 186s] | ~~~~~~~~~ [ 186s] 234 | 0x3B1FF8, [ 186s] | ~~~~~~~~~ [ 186s] 235 | 0x97FFDE, [ 186s] | ~~~~~~~~~ [ 186s] 236 | 0x05980F, [ 186s] | ~~~~~~~~~ [ 186s] 237 | 0xEF2F11, [ 186s] | ~~~~~~~~~ [ 186s] 238 | 0x8B5A0A, [ 186s] | ~~~~~~~~~ [ 186s] 239 | 0x6D1F6D, [ 186s] | ~~~~~~~~~ [ 186s] 240 | 0x367ECF, [ 186s] | ~~~~~~~~~ [ 186s] 241 | 0x27CB09, [ 186s] | ~~~~~~~~~ [ 186s] 242 | 0xB74F46, [ 186s] | ~~~~~~~~~ [ 186s] 243 | 0x3F669E, [ 186s] | ~~~~~~~~~ [ 186s] 244 | 0x5FEA2D, [ 186s] | ~~~~~~~~~ [ 186s] 245 | 0x7527BA, [ 186s] | ~~~~~~~~~ [ 186s] 246 | 0xC7EBE5, [ 186s] | ~~~~~~~~~ [ 186s] 247 | 0xF17B3D, [ 186s] | ~~~~~~~~~ [ 186s] 248 | 0x0739F7, [ 186s] | ~~~~~~~~~ [ 186s] 249 | 0x8A5292, [ 186s] | ~~~~~~~~~ [ 186s] 250 | 0xEA6BFB, [ 186s] | ~~~~~~~~~ [ 186s] 251 | 0x5FB11F, [ 186s] | ~~~~~~~~~ [ 186s] 252 | 0x8D5D08, [ 186s] | ~~~~~~~~~ [ 186s] 253 | 0x560330, [ 186s] | ~~~~~~~~~ [ 186s] 254 | 0x46FC7B, [ 186s] | ~~~~~~~~~ [ 186s] 255 | 0x6BABF0, [ 186s] | ~~~~~~~~~ [ 186s] 256 | 0xCFBC20, [ 186s] | ~~~~~~~~~ [ 186s] 257 | 0x9AF436, [ 186s] | ~~~~~~~~~ [ 186s] 258 | 0x1DA9E3, [ 186s] | ~~~~~~~~~ [ 186s] 259 | 0x91615E, [ 186s] | ~~~~~~~~~ [ 186s] 260 | 0xE61B08, [ 186s] | ~~~~~~~~~ [ 186s] 261 | 0x659985, [ 186s] | ~~~~~~~~~ [ 186s] 262 | 0x5F14A0, [ 186s] | ~~~~~~~~~ [ 186s] 263 | 0x68408D, [ 186s] | ~~~~~~~~~ [ 186s] 264 | 0xFFD880, [ 186s] | ~~~~~~~~~ [ 186s] 265 | 0x4D7327, [ 186s] | ~~~~~~~~~ [ 186s] 266 | 0x310606, [ 186s] | ~~~~~~~~~ [ 186s] 267 | 0x1556CA, [ 186s] | ~~~~~~~~~ [ 186s] 268 | 0x73A8C9, [ 186s] | ~~~~~~~~~ [ 186s] 269 | 0x60E27B, [ 186s] | ~~~~~~~~~ [ 186s] 270 | 0xC08C6B, [ 186s] | ~~~~~~~~~ [ 186s] 271 | }; [ 186s] | ~~ [ 186s] 272 | [ 186s] | [ 186s] 273 | constexpr int32_t npio2_hw[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 274 | 0x3FF921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 275 | 0x400921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 276 | 0x4012D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 277 | 0x401921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 278 | 0x401F6A7A, [ 186s] | ~~~~~~~~~~~ [ 186s] 279 | 0x4022D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 280 | 0x4025FDBB, [ 186s] | ~~~~~~~~~~~ [ 186s] 281 | 0x402921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 282 | 0x402C463A, [ 186s] | ~~~~~~~~~~~ [ 186s] 283 | 0x402F6A7A, [ 186s] | ~~~~~~~~~~~ [ 186s] 284 | 0x4031475C, [ 186s] | ~~~~~~~~~~~ [ 186s] 285 | 0x4032D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 286 | 0x40346B9C, [ 186s] | ~~~~~~~~~~~ [ 186s] 287 | 0x4035FDBB, [ 186s] | ~~~~~~~~~~~ [ 186s] 288 | 0x40378FDB, [ 186s] | ~~~~~~~~~~~ [ 186s] 289 | 0x403921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 290 | 0x403AB41B, [ 186s] | ~~~~~~~~~~~ [ 186s] 291 | 0x403C463A, [ 186s] | ~~~~~~~~~~~ [ 186s] 292 | 0x403DD85A, [ 186s] | ~~~~~~~~~~~ [ 186s] 293 | 0x403F6A7A, [ 186s] | ~~~~~~~~~~~ [ 186s] 294 | 0x40407E4C, [ 186s] | ~~~~~~~~~~~ [ 186s] 295 | 0x4041475C, [ 186s] | ~~~~~~~~~~~ [ 186s] 296 | 0x4042106C, [ 186s] | ~~~~~~~~~~~ [ 186s] 297 | 0x4042D97C, [ 186s] | ~~~~~~~~~~~ [ 186s] 298 | 0x4043A28C, [ 186s] | ~~~~~~~~~~~ [ 186s] 299 | 0x40446B9C, [ 186s] | ~~~~~~~~~~~ [ 186s] 300 | 0x404534AC, [ 186s] | ~~~~~~~~~~~ [ 186s] 301 | 0x4045FDBB, [ 186s] | ~~~~~~~~~~~ [ 186s] 302 | 0x4046C6CB, [ 186s] | ~~~~~~~~~~~ [ 186s] 303 | 0x40478FDB, [ 186s] | ~~~~~~~~~~~ [ 186s] 304 | 0x404858EB, [ 186s] | ~~~~~~~~~~~ [ 186s] 305 | 0x404921FB, [ 186s] | ~~~~~~~~~~~ [ 186s] 306 | }; [ 186s] | ~~ [ 186s] 307 | [ 186s] | [ 186s] 308 | /* [ 186s] | ~~ [ 186s] 309 | * invpio2: 53 bits of 2/pi [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 310 | * pio2_1: first 33 bit of pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 311 | * pio2_1t: pi/2 - pio2_1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 312 | * pio2_2: second 33 bit of pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 313 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 314 | * pio2_3: third 33 bit of pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 315 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 316 | */ [ 186s] | ~~ [ 186s] 317 | [ 186s] | [ 186s] 318 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 319 | zero [ 186s] | ~~~~ [ 186s] 320 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 321 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 322 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 323 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 324 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 325 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 326 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 327 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 328 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 329 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 330 | [ 186s] | [ 186s] 331 | double z, w, t, r, fn; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 332 | double tx[3]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 333 | int32_t e0, i, j, nx, n, ix, hx; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 334 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 335 | [ 186s] | [ 186s] 336 | z = 0; [ 186s] | ~~~~~~ [ 186s] 337 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 338 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 339 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 340 | y[0] = x; [ 186s] | ~~~~~~~~~ [ 186s] 341 | y[1] = 0; [ 186s] | ~~~~~~~~~ [ 186s] 342 | return 0; [ 186s] | ~~~~~~~~~ [ 186s] 343 | } [ 186s] | ~ [ 186s] 344 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 345 | if (hx > 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 346 | z = x - pio2_1; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 347 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 348 | y[0] = z - pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 349 | y[1] = (z - y[0]) - pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 350 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 351 | z -= pio2_2; [ 186s] | ~~~~~~~~~~~~ [ 186s] 352 | y[0] = z - pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 353 | y[1] = (z - y[0]) - pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 354 | } [ 186s] | ~ [ 186s] 355 | return 1; [ 186s] | ~~~~~~~~~ [ 186s] 356 | } else { /* negative x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 357 | z = x + pio2_1; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 358 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 359 | y[0] = z + pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 360 | y[1] = (z - y[0]) + pio2_1t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 361 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 362 | z += pio2_2; [ 186s] | ~~~~~~~~~~~~ [ 186s] 363 | y[0] = z + pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 364 | y[1] = (z - y[0]) + pio2_2t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 365 | } [ 186s] | ~ [ 186s] 366 | return -1; [ 186s] | ~~~~~~~~~~ [ 186s] 367 | } [ 186s] | ~ [ 186s] 368 | } [ 186s] | ~ [ 186s] 369 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 370 | t = fabs(x); [ 186s] | ~~~~~~~~~~~~ [ 186s] 371 | n = static_cast(t * invpio2 + half); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 372 | fn = static_cast(n); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 373 | r = t - fn * pio2_1; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 374 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 375 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 376 | y[0] = r - w; /* quick check no cancellation */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 377 | } else { [ 186s] | ~~~~~~~~ [ 186s] 378 | uint32_t high; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 379 | j = ix >> 20; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 380 | y[0] = r - w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 381 | GET_HIGH_WORD(high, y[0]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 382 | i = j - ((high >> 20) & 0x7FF); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 383 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 384 | t = r; [ 186s] | ~~~~~~ [ 186s] 385 | w = fn * pio2_2; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 386 | r = t - w; [ 186s] | ~~~~~~~~~~ [ 186s] 387 | w = fn * pio2_2t - ((t - r) - w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 388 | y[0] = r - w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 389 | GET_HIGH_WORD(high, y[0]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 390 | i = j - ((high >> 20) & 0x7FF); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 391 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 392 | t = r; /* will cover all possible cases */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 393 | w = fn * pio2_3; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 394 | r = t - w; [ 186s] | ~~~~~~~~~~ [ 186s] 395 | w = fn * pio2_3t - ((t - r) - w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 396 | y[0] = r - w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 397 | } [ 186s] | ~ [ 186s] 398 | } [ 186s] | ~ [ 186s] 399 | } [ 186s] | ~ [ 186s] 400 | y[1] = (r - y[0]) - w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 401 | if (hx < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 402 | y[0] = -y[0]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 403 | y[1] = -y[1]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 404 | return -n; [ 186s] | ~~~~~~~~~~ [ 186s] 405 | } else { [ 186s] | ~~~~~~~~ [ 186s] 406 | return n; [ 186s] | ~~~~~~~~~ [ 186s] 407 | } [ 186s] | ~ [ 186s] 408 | } [ 186s] | ~ [ 186s] 409 | /* [ 186s] | ~~ [ 186s] 410 | * all other (large) arguments [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 411 | */ [ 186s] | ~~ [ 186s] 412 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 413 | y[0] = y[1] = x - x; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 414 | return 0; [ 186s] | ~~~~~~~~~ [ 186s] 415 | } [ 186s] | ~ [ 186s] 416 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 417 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 418 | SET_LOW_WORD(z, low); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 419 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 420 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 421 | for (i = 0; i < 2; i++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 422 | tx[i] = static_cast(static_cast(z)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 423 | z = (z - tx[i]) * two24; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 424 | } [ 186s] | ~ [ 186s] 425 | tx[2] = z; [ 186s] | ~~~~~~~~~~ [ 186s] 426 | nx = 3; [ 186s] | ~~~~~~~ [ 186s] 427 | while (tx[nx - 1] == zero) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 428 | nx--; /* skip zero term */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 429 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 430 | if (hx < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 431 | y[0] = -y[0]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 432 | y[1] = -y[1]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 433 | return -n; [ 186s] | ~~~~~~~~~~ [ 186s] 434 | } [ 186s] | ~ [ 186s] 435 | return n; [ 186s] | ~~~~~~~~~ [ 186s] 436 | } [ 186s] | ~ [ 186s] 437 | [ 186s] | [ 186s] 438 | /* __kernel_cos( x, y ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 439 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 440 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 441 | * Input y is the tail of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 442 | * [ 186s] | ~ [ 186s] 443 | * Algorithm [ 186s] | ~~~~~~~~~~~ [ 186s] 444 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 445 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 446 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 447 | * [0,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 448 | * 4 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 449 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 450 | * where the remez error is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 451 | * [ 186s] | ~ [ 186s] 452 | * | 2 4 6 8 10 12 14 | -58 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 453 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 454 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 455 | * [ 186s] | ~ [ 186s] 456 | * 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 457 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 458 | * cos(x) = 1 - x*x/2 + r [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 459 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 460 | * ~ cos(x) - x*y, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 461 | * a correction term is necessary in cos(x) and hence [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 462 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 463 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 464 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 465 | * Then [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 466 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 467 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 468 | * magnitude of the latter is at least a quarter of x*x/2, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 469 | * thus, reducing the rounding error in the subtraction. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 470 | */ [ 186s] | ~~ [ 186s] 471 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 472 | { [ 186s] | ~ [ 186s] 473 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 474 | one [ 186s] | ~~~ [ 186s] 475 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 476 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 477 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 478 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 479 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 480 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 481 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 482 | [ 186s] | [ 186s] 483 | double a, iz, z, r, qx; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 484 | int32_t ix; [ 186s] | ~~~~~~~~~~~ [ 186s] 485 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 486 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 487 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 488 | return one; /* generate inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 489 | } [ 186s] | ~ [ 186s] 490 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 491 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 492 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 493 | return one - (0.5 * z - (z * r - x * y)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 494 | } else { [ 186s] | ~~~~~~~~ [ 186s] 495 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 496 | qx = 0.28125; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 497 | } else { [ 186s] | ~~~~~~~~ [ 186s] 498 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 499 | } [ 186s] | ~ [ 186s] 500 | iz = 0.5 * z - qx; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 501 | a = one - qx; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 502 | return a - (iz - (z * r - x * y)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 503 | } [ 186s] | ~ [ 186s] 504 | } [ 186s] | ~ [ 186s] 505 | [ 186s] | [ 186s] 506 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 507 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 508 | * [ 186s] | ~ [ 186s] 509 | * __kernel_rem_pio2 return the last three digits of N with [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 510 | * y = x - N*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 511 | * so that |y| < pi/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 512 | * [ 186s] | ~ [ 186s] 513 | * The method is to compute the integer (mod 8) and fraction parts of [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 514 | * (2/pi)*x without doing the full multiplication. In general we [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 515 | * skip the part of the product that are known to be a huge integer ( [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 516 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 517 | * independent of the exponent of the input. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 518 | * [ 186s] | ~ [ 186s] 519 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 520 | * [ 186s] | ~ [ 186s] 521 | * Input parameters: [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 522 | * x[] The input value (must be positive) is broken into nx [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 523 | * pieces of 24-bit integers in double precision format. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 524 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 525 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 526 | * match x's up to 24 bits. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 527 | * [ 186s] | ~ [ 186s] 528 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 529 | * e0 = ilogb(z)-23 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 530 | * z = scalbn(z,-e0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 531 | * for i = 0,1,2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 532 | * x[i] = floor(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 533 | * z = (z-x[i])*2**24 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 534 | * [ 186s] | ~ [ 186s] 535 | * [ 186s] | ~ [ 186s] 536 | * y[] output result in an array of double precision numbers. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 537 | * The dimension of y[] is: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 538 | * 24-bit precision 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 539 | * 53-bit precision 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 540 | * 64-bit precision 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 541 | * 113-bit precision 3 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 542 | * The actual value is the sum of them. Thus for 113-bit [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 543 | * precison, one may have to do something like: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 544 | * [ 186s] | ~ [ 186s] 545 | * long double t,w,r_head, r_tail; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 546 | * t = (long double)y[2] + (long double)y[1]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 547 | * w = (long double)y[0]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 548 | * r_head = t+w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 549 | * r_tail = w - (r_head - t); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 550 | * [ 186s] | ~ [ 186s] 551 | * e0 The exponent of x[0] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 552 | * [ 186s] | ~ [ 186s] 553 | * nx dimension of x[] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 554 | * [ 186s] | ~ [ 186s] 555 | * prec an integer indicating the precision: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 556 | * 0 24 bits (single) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 557 | * 1 53 bits (double) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 558 | * 2 64 bits (extended) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 559 | * 3 113 bits (quad) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 560 | * [ 186s] | ~ [ 186s] 561 | * ipio2[] [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 562 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 563 | * bit of 2/pi after binary point. The corresponding [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 564 | * floating value is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 565 | * [ 186s] | ~ [ 186s] 566 | * ipio2[i] * 2^(-24(i+1)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 567 | * [ 186s] | ~ [ 186s] 568 | * External function: [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 569 | * double scalbn(), floor(); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 570 | * [ 186s] | ~ [ 186s] 571 | * [ 186s] | ~ [ 186s] 572 | * Here is the description of some local variables: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 573 | * [ 186s] | ~ [ 186s] 574 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 575 | * in the computation. The recommended value is 2,3,4, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 576 | * 6 for single, double, extended,and quad. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 577 | * [ 186s] | ~ [ 186s] 578 | * jz local integer variable indicating the number of [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 579 | * terms of ipio2[] used. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 580 | * [ 186s] | ~ [ 186s] 581 | * jx nx - 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 582 | * [ 186s] | ~ [ 186s] 583 | * jv index for pointing to the suitable ipio2[] for the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 584 | * computation. In general, we want [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 585 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 586 | * is an integer. Thus [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 587 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 588 | * Hence jv = max(0,(e0-3)/24). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 589 | * [ 186s] | ~ [ 186s] 590 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 591 | * [ 186s] | ~ [ 186s] 592 | * q[] double array with integral value, representing the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 593 | * 24-bits chunk of the product of x and 2/pi. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 594 | * [ 186s] | ~ [ 186s] 595 | * q0 the corresponding exponent of q[0]. Note that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 596 | * exponent for q[i] would be q0-24*i. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 597 | * [ 186s] | ~ [ 186s] 598 | * PIo2[] double precision array, obtained by cutting pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 599 | * into 24 bits chunks. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 600 | * [ 186s] | ~ [ 186s] 601 | * f[] ipio2[] in floating point [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 602 | * [ 186s] | ~ [ 186s] 603 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 604 | * [ 186s] | ~ [ 186s] 605 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 606 | * [ 186s] | ~ [ 186s] 607 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 608 | * it also indicates the *sign* of the result. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 609 | * [ 186s] | ~ [ 186s] 610 | */ [ 186s] | ~~ [ 186s] 611 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 612 | const int32_t *ipio2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 613 | { [ 186s] | ~ [ 186s] 614 | /* Constants: [ 186s] | ~~~~~~~~~~~~~ [ 186s] 615 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 616 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 617 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 618 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 619 | */ [ 186s] | ~~ [ 186s] 620 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 621 | [ 186s] | [ 186s] 622 | constexpr double PIo2[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 623 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 624 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 625 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 626 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 627 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 628 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 629 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 630 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 631 | }; [ 186s] | ~~ [ 186s] 632 | [ 186s] | [ 186s] 633 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 634 | zero [ 186s] | ~~~~ [ 186s] 635 | = 0.0, [ 186s] | ~~~~~~ [ 186s] 636 | one = 1.0, [ 186s] | ~~~~~~~~~~ [ 186s] 637 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 638 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 639 | [ 186s] | [ 186s] 640 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 641 | double z, fw, f[20], fq[20], q[20]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 642 | [ 186s] | [ 186s] 643 | /* initialize jk*/ [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 644 | jk = init_jk[prec]; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 645 | jp = jk; [ 186s] | ~~~~~~~~ [ 186s] 646 | [ 186s] | [ 186s] 647 | /* determine jx,jv,q0, note that 3>q0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 648 | jx = nx - 1; [ 186s] | ~~~~~~~~~~~~ [ 186s] 649 | jv = (e0 - 3) / 24; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 650 | if (jv < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 651 | jv = 0; [ 186s] | ~~~~~~~ [ 186s] 652 | q0 = e0 - 24 * (jv + 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 653 | [ 186s] | [ 186s] 654 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 655 | j = jv - jx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 656 | m = jx + jk; [ 186s] | ~~~~~~~~~~~~ [ 186s] 657 | for (i = 0; i <= m; i++, j++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 658 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 659 | } [ 186s] | ~ [ 186s] 660 | [ 186s] | [ 186s] 661 | /* compute q[0],q[1],...q[jk] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 662 | for (i = 0; i <= jk; i++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 663 | for (j = 0, fw = 0.0; j <= jx; j++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 664 | fw += x[j] * f[jx + i - j]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 665 | q[i] = fw; [ 186s] | ~~~~~~~~~~ [ 186s] 666 | } [ 186s] | ~ [ 186s] 667 | [ 186s] | [ 186s] 668 | jz = jk; [ 186s] | ~~~~~~~~ [ 186s] 669 | recompute: [ 186s] | ~~~~~~~~~~ [ 186s] 670 | /* distill q[] into iq[] reversingly */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 671 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 672 | fw = static_cast(static_cast(twon24 * z)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 673 | iq[i] = static_cast(z - two24 * fw); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 674 | z = q[j - 1] + fw; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 675 | } [ 186s] | ~ [ 186s] 676 | [ 186s] | [ 186s] 677 | /* compute n */ [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 678 | z = scalbn(z, q0); /* actual value of z */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 679 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 680 | n = static_cast(z); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 681 | z -= static_cast(n); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 682 | ih = 0; [ 186s] | ~~~~~~~ [ 186s] 683 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 684 | i = (iq[jz - 1] >> (24 - q0)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 685 | n += i; [ 186s] | ~~~~~~~ [ 186s] 686 | iq[jz - 1] -= i << (24 - q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 687 | ih = iq[jz - 1] >> (23 - q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 688 | } else if (q0 == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 689 | ih = iq[jz - 1] >> 23; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 690 | } else if (z >= 0.5) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 691 | ih = 2; [ 186s] | ~~~~~~~ [ 186s] 692 | } [ 186s] | ~ [ 186s] 693 | [ 186s] | [ 186s] 694 | if (ih > 0) { /* q > 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 695 | n += 1; [ 186s] | ~~~~~~~ [ 186s] 696 | carry = 0; [ 186s] | ~~~~~~~~~~ [ 186s] 697 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 698 | j = iq[i]; [ 186s] | ~~~~~~~~~~ [ 186s] 699 | if (carry == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 700 | if (j != 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 701 | carry = 1; [ 186s] | ~~~~~~~~~~ [ 186s] 702 | iq[i] = 0x1000000 - j; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 703 | } [ 186s] | ~ [ 186s] 704 | } else { [ 186s] | ~~~~~~~~ [ 186s] 705 | iq[i] = 0xFFFFFF - j; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 706 | } [ 186s] | ~ [ 186s] 707 | } [ 186s] | ~ [ 186s] 708 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 709 | switch (q0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 710 | case 1: [ 186s] | ~~~~~~~ [ 186s] 711 | iq[jz - 1] &= 0x7FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 712 | break; [ 186s] | ~~~~~~ [ 186s] 713 | case 2: [ 186s] | ~~~~~~~ [ 186s] 714 | iq[jz - 1] &= 0x3FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 715 | break; [ 186s] | ~~~~~~ [ 186s] 716 | } [ 186s] | ~ [ 186s] 717 | } [ 186s] | ~ [ 186s] 718 | if (ih == 2) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 719 | z = one - z; [ 186s] | ~~~~~~~~~~~~ [ 186s] 720 | if (carry != 0) [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 721 | z -= scalbn(one, q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 722 | } [ 186s] | ~ [ 186s] 723 | } [ 186s] | ~ [ 186s] 724 | [ 186s] | [ 186s] 725 | /* check if recomputation is needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 726 | if (z == zero) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 727 | j = 0; [ 186s] | ~~~~~~ [ 186s] 728 | for (i = jz - 1; i >= jk; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 729 | j |= iq[i]; [ 186s] | ~~~~~~~~~~~ [ 186s] 730 | if (j == 0) { /* need recomputation */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 731 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 732 | /* k = no. of terms needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 733 | } [ 186s] | ~ [ 186s] 734 | [ 186s] | [ 186s] 735 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 736 | f[jx + i] = ipio2[jv + i]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 737 | for (j = 0, fw = 0.0; j <= jx; j++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 738 | fw += x[j] * f[jx + i - j]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 739 | q[i] = fw; [ 186s] | ~~~~~~~~~~ [ 186s] 740 | } [ 186s] | ~ [ 186s] 741 | jz += k; [ 186s] | ~~~~~~~~ [ 186s] 742 | goto recompute; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 743 | } [ 186s] | ~ [ 186s] 744 | } [ 186s] | ~ [ 186s] 745 | [ 186s] | [ 186s] 746 | /* chop off zero terms */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 747 | if (z == 0.0) { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 748 | jz -= 1; [ 186s] | ~~~~~~~~ [ 186s] 749 | q0 -= 24; [ 186s] | ~~~~~~~~~ [ 186s] 750 | while (iq[jz] == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 751 | jz--; [ 186s] | ~~~~~ [ 186s] 752 | q0 -= 24; [ 186s] | ~~~~~~~~~ [ 186s] 753 | } [ 186s] | ~ [ 186s] 754 | } else { /* break z into 24-bit if necessary */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 755 | z = scalbn(z, -q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 756 | if (z >= two24) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 757 | fw = static_cast(static_cast(twon24 * z)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 758 | iq[jz] = z - two24 * fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 759 | jz += 1; [ 186s] | ~~~~~~~~ [ 186s] 760 | q0 += 24; [ 186s] | ~~~~~~~~~ [ 186s] 761 | iq[jz] = fw; [ 186s] | ~~~~~~~~~~~~ [ 186s] 762 | } else { [ 186s] | ~~~~~~~~ [ 186s] 763 | iq[jz] = z; [ 186s] | ~~~~~~~~~~~ [ 186s] 764 | } [ 186s] | ~ [ 186s] 765 | } [ 186s] | ~ [ 186s] 766 | [ 186s] | [ 186s] 767 | /* convert integer "bit" chunk to floating-point value */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 768 | fw = scalbn(one, q0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 769 | for (i = jz; i >= 0; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 770 | q[i] = fw * iq[i]; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 771 | fw *= twon24; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 772 | } [ 186s] | ~ [ 186s] 773 | [ 186s] | [ 186s] 774 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 775 | for (i = jz; i >= 0; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 776 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 777 | fw += PIo2[k] * q[i + k]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 778 | fq[jz - i] = fw; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 779 | } [ 186s] | ~ [ 186s] 780 | [ 186s] | [ 186s] 781 | /* compress fq[] into y[] */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 782 | switch (prec) { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 783 | case 0: [ 186s] | ~~~~~~~ [ 186s] 784 | fw = 0.0; [ 186s] | ~~~~~~~~~ [ 186s] 785 | for (i = jz; i >= 0; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 786 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 787 | y[0] = (ih == 0) ? fw : -fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 788 | break; [ 186s] | ~~~~~~ [ 186s] 789 | case 1: [ 186s] | ~~~~~~~ [ 186s] 790 | case 2: [ 186s] | ~~~~~~~ [ 186s] 791 | fw = 0.0; [ 186s] | ~~~~~~~~~ [ 186s] 792 | for (i = jz; i >= 0; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 793 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 794 | y[0] = (ih == 0) ? fw : -fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 795 | fw = fq[0] - fw; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 796 | for (i = 1; i <= jz; i++) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 797 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 798 | y[1] = (ih == 0) ? fw : -fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 799 | break; [ 186s] | ~~~~~~ [ 186s] 800 | case 3: /* painful */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 801 | for (i = jz; i > 0; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 802 | fw = fq[i - 1] + fq[i]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 803 | fq[i] += fq[i - 1] - fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 804 | fq[i - 1] = fw; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 805 | } [ 186s] | ~ [ 186s] 806 | for (i = jz; i > 1; i--) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 807 | fw = fq[i - 1] + fq[i]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 808 | fq[i] += fq[i - 1] - fw; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 809 | fq[i - 1] = fw; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 810 | } [ 186s] | ~ [ 186s] 811 | for (fw = 0.0, i = jz; i >= 2; i--) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 812 | fw += fq[i]; [ 186s] | ~~~~~~~~~~~~ [ 186s] 813 | if (ih == 0) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 814 | y[0] = fq[0]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 815 | y[1] = fq[1]; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 816 | y[2] = fw; [ 186s] | ~~~~~~~~~~ [ 186s] 817 | } else { [ 186s] | ~~~~~~~~ [ 186s] 818 | y[0] = -fq[0]; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 819 | y[1] = -fq[1]; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 820 | y[2] = -fw; [ 186s] | ~~~~~~~~~~~ [ 186s] 821 | } [ 186s] | ~ [ 186s] 822 | } [ 186s] | ~ [ 186s] 823 | return n & 7; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 824 | } [ 186s] | ~ [ 186s] 825 | [ 186s] | [ 186s] 826 | /* __kernel_sin( x, y, iy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 827 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 828 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 829 | * Input y is the tail of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 830 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 831 | * [ 186s] | ~ [ 186s] 832 | * Algorithm [ 186s] | ~~~~~~~~~~~ [ 186s] 833 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 834 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 835 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 836 | * [0,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 837 | * 3 13 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 838 | * sin(x) ~ x + S1*x + ... + S6*x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 839 | * where [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 840 | * [ 186s] | ~ [ 186s] 841 | * |sin(x) 2 4 6 8 10 12 | -58 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 842 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 843 | * | x | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 844 | * [ 186s] | ~ [ 186s] 845 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 846 | * ~ sin(x) + (1-x*x/2)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 847 | * For better accuracy, let [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 848 | * 3 2 2 2 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 849 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 850 | * then 3 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 851 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 852 | */ [ 186s] | ~~ [ 186s] 853 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 854 | { [ 186s] | ~ [ 186s] 855 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 856 | half [ 186s] | ~~~~ [ 186s] 857 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 858 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 859 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 860 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 861 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 862 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 863 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 864 | [ 186s] | [ 186s] 865 | double z, r, v; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 866 | int32_t ix; [ 186s] | ~~~~~~~~~~~ [ 186s] 867 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 868 | ix &= 0x7FFFFFFF; /* high word of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 869 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 870 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 871 | } /* generate inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 872 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 873 | v = z * x; [ 186s] | ~~~~~~~~~~ [ 186s] 874 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 875 | if (iy == 0) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 876 | return x + v * (S1 + z * r); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 877 | } else { [ 186s] | ~~~~~~~~ [ 186s] 878 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 879 | } [ 186s] | ~ [ 186s] 880 | } [ 186s] | ~ [ 186s] 881 | [ 186s] | [ 186s] 882 | /* __kernel_tan( x, y, k ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 883 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 884 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 885 | * Input y is the tail of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 886 | * Input k indicates whether tan (if k=1) or [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 887 | * -1/tan (if k= -1) is returned. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 888 | * [ 186s] | ~ [ 186s] 889 | * Algorithm [ 186s] | ~~~~~~~~~~~ [ 186s] 890 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 891 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 892 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 893 | * [0,0.67434] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 894 | * 3 27 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 895 | * tan(x) ~ x + T1*x + ... + T13*x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 896 | * where [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 897 | * [ 186s] | ~ [ 186s] 898 | * |tan(x) 2 4 26 | -59.2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 899 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 900 | * | x | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 901 | * [ 186s] | ~ [ 186s] 902 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 903 | * ~ tan(x) + (1+x*x)*y [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 904 | * Therefore, for better accuracy in computing tan(x+y), let [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 905 | * 3 2 2 2 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 906 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 907 | * then [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 908 | * 3 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 909 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 910 | * [ 186s] | ~ [ 186s] 911 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 912 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 913 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 914 | */ [ 186s] | ~~ [ 186s] 915 | double __kernel_tan(double x, double y, int iy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 916 | { [ 186s] | ~ [ 186s] 917 | constexpr double xxx[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 918 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 919 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 920 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 921 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 922 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 923 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 924 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 925 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 926 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 927 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 928 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 929 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 930 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 931 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 932 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 933 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 934 | }; [ 186s] | ~~ [ 186s] 935 | #define one xxx[13] [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 936 | #define pio4 xxx[14] [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 937 | #define pio4lo xxx[15] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 938 | #define T xxx [ 186s] | ~~~~~~~~~~~~~ [ 186s] 939 | [ 186s] | [ 186s] 940 | double z, r, v, w, s; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 941 | int32_t ix, hx; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 942 | [ 186s] | [ 186s] 943 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 944 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 945 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 946 | /* generate inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 947 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 948 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 949 | if (((ix | low) | (iy + 1)) == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 950 | return one / fabs(x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 951 | } else { [ 186s] | ~~~~~~~~ [ 186s] 952 | if (iy == 1) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 953 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 954 | } else { /* compute -1 / (x+y) carefully */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 955 | double a, t; [ 186s] | ~~~~~~~~~~~~ [ 186s] 956 | [ 186s] | [ 186s] 957 | z = w = x + y; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 958 | SET_LOW_WORD(z, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 959 | v = y - (z - x); [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 960 | t = a = -one / w; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 961 | SET_LOW_WORD(t, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 962 | s = one + t * z; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 963 | return t + a * (s + t * v); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 964 | } [ 186s] | ~ [ 186s] 965 | } [ 186s] | ~ [ 186s] 966 | } [ 186s] | ~ [ 186s] 967 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 968 | if (hx < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 969 | x = -x; [ 186s] | ~~~~~~~ [ 186s] 970 | y = -y; [ 186s] | ~~~~~~~ [ 186s] 971 | } [ 186s] | ~ [ 186s] 972 | z = pio4 - x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 973 | w = pio4lo - y; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 974 | x = z + w; [ 186s] | ~~~~~~~~~~ [ 186s] 975 | y = 0.0; [ 186s] | ~~~~~~~~ [ 186s] 976 | } [ 186s] | ~ [ 186s] 977 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 978 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 979 | /* [ 186s] | ~~ [ 186s] 980 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 981 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 982 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 983 | */ [ 186s] | ~~ [ 186s] 984 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 985 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 986 | s = z * x; [ 186s] | ~~~~~~~~~~ [ 186s] 987 | r = y + z * (s * (r + v) + y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 988 | r += T[0] * s; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 989 | w = x + r; [ 186s] | ~~~~~~~~~~ [ 186s] 990 | if (ix >= 0x3FE59428) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 991 | v = iy; [ 186s] | ~~~~~~~ [ 186s] 992 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 993 | } [ 186s] | ~ [ 186s] 994 | if (iy == 1) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 995 | return w; [ 186s] | ~~~~~~~~~ [ 186s] 996 | } else { [ 186s] | ~~~~~~~~ [ 186s] 997 | /* [ 186s] | ~~ [ 186s] 998 | * if allow error up to 2 ulp, simply return [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 999 | * -1.0 / (x+r) here [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1000 | */ [ 186s] | ~~ [ 186s] 1001 | /* compute -1.0 / (x+r) accurately */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1002 | double a, t; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1003 | z = w; [ 186s] | ~~~~~~ [ 186s] 1004 | SET_LOW_WORD(z, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1005 | v = r - (z - x); /* z+v = r+x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1006 | t = a = -1.0 / w; /* a = -1.0/w */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1007 | SET_LOW_WORD(t, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1008 | s = 1.0 + t * z; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1009 | return t + a * (s + t * v); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1010 | } [ 186s] | ~ [ 186s] 1011 | [ 186s] | [ 186s] 1012 | #undef one [ 186s] | ~~~~~~~~~~ [ 186s] 1013 | #undef pio4 [ 186s] | ~~~~~~~~~~~ [ 186s] 1014 | #undef pio4lo [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1015 | #undef T [ 186s] | ~~~~~~~~ [ 186s] 1016 | } [ 186s] | ~ [ 186s] 1017 | [ 186s] | [ 186s] 1018 | } // namespace [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1019 | [ 186s] | [ 186s] 1020 | /* acos(x) [ 186s] | ~~~~~~~~~~ [ 186s] 1021 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1022 | * acos(x) = pi/2 - asin(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1023 | * acos(-x) = pi/2 + asin(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1024 | * For |x|<=0.5 [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1025 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1026 | * For x>0.5 [ 186s] | ~~~~~~~~~~~ [ 186s] 1027 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1028 | * = 2asin(sqrt((1-x)/2)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1029 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1030 | * = 2f + (2c + 2s*z*R(z)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1031 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1032 | * for f so that f+c ~ sqrt(z). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1033 | * For x<-0.5 [ 186s] | ~~~~~~~~~~~~ [ 186s] 1034 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1035 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1036 | * [ 186s] | ~ [ 186s] 1037 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1038 | * if x is NaN, return x itself; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1039 | * if |x|>1, return NaN with invalid signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1040 | * [ 186s] | ~ [ 186s] 1041 | * Function needed: sqrt [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1042 | */ [ 186s] | ~~ [ 186s] 1043 | double acos(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1044 | { [ 186s] | ~ [ 186s] 1045 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1046 | one [ 186s] | ~~~ [ 186s] 1047 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1048 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1049 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1050 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1051 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1052 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1053 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1054 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1055 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1056 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1057 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1058 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1059 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1060 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1061 | [ 186s] | [ 186s] 1062 | double z, p, q, r, w, s, c, df; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1063 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1064 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1065 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1066 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1067 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1068 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1069 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1070 | if (hx > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1071 | return 0.0; /* acos(1) = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1072 | else [ 186s] | ~~~~ [ 186s] 1073 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1074 | } [ 186s] | ~ [ 186s] 1075 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1076 | } [ 186s] | ~ [ 186s] 1077 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1078 | if (ix <= 0x3C600000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1079 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1080 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1081 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1082 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1083 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1084 | return pio2_hi - (x - (pio2_lo - x * r)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1085 | } else if (hx < 0) { /* x < -0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1086 | z = (one + x) * 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1087 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1088 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1089 | s = sqrt(z); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1090 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1091 | w = r * s - pio2_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1092 | return pi - 2.0 * (s + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1093 | } else { /* x > 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1094 | z = (one - x) * 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1095 | s = sqrt(z); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1096 | df = s; [ 186s] | ~~~~~~~ [ 186s] 1097 | SET_LOW_WORD(df, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1098 | c = (z - df * df) / (s + df); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1099 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1100 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1101 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1102 | w = r * s + c; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1103 | return 2.0 * (df + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1104 | } [ 186s] | ~ [ 186s] 1105 | } [ 186s] | ~ [ 186s] 1106 | [ 186s] | [ 186s] 1107 | /* acosh(x) [ 186s] | ~~~~~~~~~~~ [ 186s] 1108 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1109 | * Based on [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1110 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1111 | * we have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1112 | * acosh(x) := log(x)+ln2, if x is large; else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1113 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1114 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1115 | * [ 186s] | ~ [ 186s] 1116 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1117 | * acosh(x) is NaN with signal if x<1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1118 | * acosh(NaN) is NaN without signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1119 | */ [ 186s] | ~~ [ 186s] 1120 | double acosh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1121 | { [ 186s] | ~ [ 186s] 1122 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1123 | one [ 186s] | ~~~ [ 186s] 1124 | = 1.0, [ 186s] | ~~~~~~ [ 186s] 1125 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1126 | double t; [ 186s] | ~~~~~~~~~ [ 186s] 1127 | int32_t hx; [ 186s] | ~~~~~~~~~~~ [ 186s] 1128 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1129 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1130 | if (hx < 0x3FF00000) { /* x < 1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1131 | return (x - x) / (x - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1132 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1133 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1134 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1135 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1136 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1137 | } [ 186s] | ~ [ 186s] 1138 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1139 | return 0.0; /* acosh(1) = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1140 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1141 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1142 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1143 | } else { /* 10.98 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1163 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1164 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1165 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1166 | * f = hi part of s; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1167 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1168 | * and [ 186s] | ~~~~~~~~~~ [ 186s] 1169 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1170 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1171 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1172 | * [ 186s] | ~ [ 186s] 1173 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1174 | * if x is NaN, return x itself; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1175 | * if |x|>1, return NaN with invalid signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1176 | */ [ 186s] | ~~ [ 186s] 1177 | double asin(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1178 | { [ 186s] | ~ [ 186s] 1179 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1180 | one [ 186s] | ~~~ [ 186s] 1181 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1182 | huge = 1.000e+300, [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1183 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1184 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1185 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1186 | /* coefficient for R(x^2) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1187 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1188 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1189 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1190 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1191 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1192 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1193 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1194 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1195 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1196 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1197 | [ 186s] | [ 186s] 1198 | double t, w, p, q, c, r, s; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1199 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1200 | [ 186s] | [ 186s] 1201 | t = 0; [ 186s] | ~~~~~~ [ 186s] 1202 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1203 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1204 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1205 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1206 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1207 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1208 | return x * pio2_hi + x * pio2_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1209 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1210 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1211 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1212 | return x; /* return x with inexact if x!=0*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1213 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1214 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1215 | } [ 186s] | ~ [ 186s] 1216 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1217 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1218 | w = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1219 | return x + x * w; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1220 | } [ 186s] | ~ [ 186s] 1221 | /* 1> |x|>= 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1222 | w = one - fabs(x); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1223 | t = w * 0.5; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1224 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1225 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1226 | s = sqrt(t); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1227 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1228 | w = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1229 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1230 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1231 | w = s; [ 186s] | ~~~~~~ [ 186s] 1232 | SET_LOW_WORD(w, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1233 | c = (t - w * w) / (s + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1234 | r = p / q; [ 186s] | ~~~~~~~~~~ [ 186s] 1235 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1236 | q = pio4_hi - 2.0 * w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1237 | t = pio4_hi - (p - q); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1238 | } [ 186s] | ~ [ 186s] 1239 | if (hx > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1240 | return t; [ 186s] | ~~~~~~~~~ [ 186s] 1241 | else [ 186s] | ~~~~ [ 186s] 1242 | return -t; [ 186s] | ~~~~~~~~~~ [ 186s] 1243 | } [ 186s] | ~ [ 186s] 1244 | /* asinh(x) [ 186s] | ~~~~~~~~~~~ [ 186s] 1245 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1246 | * Based on [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1247 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1248 | * we have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1249 | * asinh(x) := x if 1+x*x=1, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1250 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1251 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1252 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1253 | */ [ 186s] | ~~ [ 186s] 1254 | double asinh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1255 | { [ 186s] | ~ [ 186s] 1256 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1257 | one [ 186s] | ~~~ [ 186s] 1258 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1259 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1260 | huge = 1.00000000000000000000e+300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1261 | [ 186s] | [ 186s] 1262 | double t, w; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1263 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1264 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1265 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1266 | if (ix >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1267 | return x + x; /* x is inf or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1268 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1269 | return x; /* return x inexact except 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1270 | } [ 186s] | ~ [ 186s] 1271 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1272 | w = log(fabs(x)) + ln2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1273 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1274 | t = fabs(x); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1275 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1276 | } else { /* 2.0 > |x| > 2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1277 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1278 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1279 | } [ 186s] | ~ [ 186s] 1280 | if (hx > 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1281 | return w; [ 186s] | ~~~~~~~~~ [ 186s] 1282 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1283 | return -w; [ 186s] | ~~~~~~~~~~ [ 186s] 1284 | } [ 186s] | ~ [ 186s] 1285 | } [ 186s] | ~ [ 186s] 1286 | [ 186s] | [ 186s] 1287 | /* atan(x) [ 186s] | ~~~~~~~~~~ [ 186s] 1288 | * Method [ 186s] | ~~~~~~~~ [ 186s] 1289 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1290 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1291 | * is further reduced to one of the following intervals and the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1292 | * arctangent of t is evaluated by the corresponding formula: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1293 | * [ 186s] | ~ [ 186s] 1294 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1295 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1296 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1297 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1298 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1299 | * [ 186s] | ~ [ 186s] 1300 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1301 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1302 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1303 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1304 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1305 | */ [ 186s] | ~~ [ 186s] 1306 | double atan(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1307 | { [ 186s] | ~ [ 186s] 1308 | constexpr double atanhi[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1309 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1310 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1311 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1312 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1313 | }; [ 186s] | ~~ [ 186s] 1314 | [ 186s] | [ 186s] 1315 | constexpr double atanlo[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1316 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1317 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1318 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1319 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1320 | }; [ 186s] | ~~ [ 186s] 1321 | [ 186s] | [ 186s] 1322 | constexpr double aT[] = { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1323 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1324 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1325 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1326 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1327 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1328 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1329 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1330 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1331 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1332 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1333 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1334 | }; [ 186s] | ~~ [ 186s] 1335 | [ 186s] | [ 186s] 1336 | constexpr double one = 1.0, huge = 1.0e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1337 | [ 186s] | [ 186s] 1338 | double w, s1, s2, z; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1339 | int32_t ix, hx, id; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1340 | [ 186s] | [ 186s] 1341 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1342 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1343 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1344 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1345 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1346 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1347 | return x + x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1348 | if (hx > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1349 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1350 | else [ 186s] | ~~~~ [ 186s] 1351 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1352 | } [ 186s] | ~ [ 186s] 1353 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1354 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1355 | return x; /* raise inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1356 | } [ 186s] | ~ [ 186s] 1357 | id = -1; [ 186s] | ~~~~~~~~ [ 186s] 1358 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1359 | x = fabs(x); [ 186s] | ~~~~~~~~~~~~ [ 186s] 1360 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1361 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1362 | id = 0; [ 186s] | ~~~~~~~ [ 186s] 1363 | x = (2.0 * x - one) / (2.0 + x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1364 | } else { /* 11/16<=|x|< 19/16 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1365 | id = 1; [ 186s] | ~~~~~~~ [ 186s] 1366 | x = (x - one) / (x + one); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1367 | } [ 186s] | ~ [ 186s] 1368 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1369 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1370 | id = 2; [ 186s] | ~~~~~~~ [ 186s] 1371 | x = (x - 1.5) / (one + 1.5 * x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1372 | } else { /* 2.4375 <= |x| < 2^66 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1373 | id = 3; [ 186s] | ~~~~~~~ [ 186s] 1374 | x = -1.0 / x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1375 | } [ 186s] | ~ [ 186s] 1376 | } [ 186s] | ~ [ 186s] 1377 | } [ 186s] | ~ [ 186s] 1378 | /* end of argument reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1379 | z = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1380 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 1381 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1382 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1383 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1384 | if (id < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1385 | return x - x * (s1 + s2); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1386 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1387 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1388 | return (hx < 0) ? -z : z; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1389 | } [ 186s] | ~ [ 186s] 1390 | } [ 186s] | ~ [ 186s] 1391 | [ 186s] | [ 186s] 1392 | /* atan2(y,x) [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1393 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1394 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1395 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1396 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1397 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1398 | * [ 186s] | ~ [ 186s] 1399 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1400 | * [ 186s] | ~ [ 186s] 1401 | * ATAN2((anything), NaN ) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1402 | * ATAN2(NAN , (anything) ) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1403 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1404 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1405 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1406 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1407 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1408 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1409 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1410 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1411 | * [ 186s] | ~ [ 186s] 1412 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1413 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1414 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1415 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1416 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1417 | */ [ 186s] | ~~ [ 186s] 1418 | double atan2(double y, double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1419 | { [ 186s] | ~ [ 186s] 1420 | constexpr volatile double tiny = 1.0e-300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1421 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1422 | zero [ 186s] | ~~~~ [ 186s] 1423 | = 0.0, [ 186s] | ~~~~~~ [ 186s] 1424 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1425 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1426 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1427 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1428 | [ 186s] | [ 186s] 1429 | double z; [ 186s] | ~~~~~~~~~ [ 186s] 1430 | int32_t k, m, hx, hy, ix, iy; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1431 | uint32_t lx, ly; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1432 | [ 186s] | [ 186s] 1433 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1434 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1435 | EXTRACT_WORDS(hy, ly, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1436 | iy = hy & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1437 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1438 | return x + y; /* x or y is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1439 | } [ 186s] | ~ [ 186s] 1440 | if (((hx - 0x3FF00000) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1441 | return atan(y); /* x=1.0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1442 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1443 | [ 186s] | [ 186s] 1444 | /* when y = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1445 | if ((iy | ly) == 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1446 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1447 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1448 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1449 | return y; /* atan(+-0,+anything)=+-0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1450 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1451 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1452 | case 3: [ 186s] | ~~~~~~~ [ 186s] 1453 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1454 | } [ 186s] | ~ [ 186s] 1455 | } [ 186s] | ~ [ 186s] 1456 | /* when x = 0 */ [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1457 | if ((ix | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1458 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1459 | [ 186s] | [ 186s] 1460 | /* when x is INF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1461 | if (ix == 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1462 | if (iy == 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1463 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1464 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1465 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1466 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1467 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1468 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1469 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1470 | case 3: [ 186s] | ~~~~~~~ [ 186s] 1471 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1472 | } [ 186s] | ~ [ 186s] 1473 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1474 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1475 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1476 | return zero; /* atan(+...,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1477 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1478 | return -zero; /* atan(-...,+INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1479 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1480 | return pi + tiny; /* atan(+...,-INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1481 | case 3: [ 186s] | ~~~~~~~ [ 186s] 1482 | return -pi - tiny; /* atan(-...,-INF) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1483 | } [ 186s] | ~ [ 186s] 1484 | } [ 186s] | ~ [ 186s] 1485 | } [ 186s] | ~ [ 186s] 1486 | /* when y is INF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1487 | if (iy == 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1488 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1489 | [ 186s] | [ 186s] 1490 | /* compute y/x */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1491 | k = (iy - ix) >> 20; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1492 | if (k > 60) { /* |y/x| > 2**60 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1493 | z = pi_o_2 + 0.5 * pi_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1494 | m &= 1; [ 186s] | ~~~~~~~ [ 186s] 1495 | } else if (hx < 0 && k < -60) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1496 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1497 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1498 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1499 | } [ 186s] | ~ [ 186s] 1500 | switch (m) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1501 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1502 | return z; /* atan(+,+) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1503 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1504 | return -z; /* atan(-,+) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1505 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1506 | return pi - (z - pi_lo); /* atan(+,-) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1507 | default: /* case 3 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1508 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1509 | } [ 186s] | ~ [ 186s] 1510 | } [ 186s] | ~ [ 186s] 1511 | [ 186s] | [ 186s] 1512 | /* cos(x) [ 186s] | ~~~~~~~~~ [ 186s] 1513 | * Return cosine function of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1514 | * [ 186s] | ~ [ 186s] 1515 | * kernel function: [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1516 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1517 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1518 | * __ieee754_rem_pio2 ... argument reduction routine [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1519 | * [ 186s] | ~ [ 186s] 1520 | * Method. [ 186s] | ~~~~~~~~~ [ 186s] 1521 | * Let S,C and T denote the sin, cos and tan respectively on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1522 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1523 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1524 | * We have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1525 | * [ 186s] | ~ [ 186s] 1526 | * n sin(x) cos(x) tan(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1527 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1528 | * 0 S C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1529 | * 1 C -S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1530 | * 2 -S -C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1531 | * 3 -C S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1532 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1533 | * [ 186s] | ~ [ 186s] 1534 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1535 | * Let trig be any of sin, cos, or tan. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1536 | * trig(+-INF) is NaN, with signals; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1537 | * trig(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1538 | * [ 186s] | ~ [ 186s] 1539 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1540 | * TRIG(x) returns trig(x) nearly rounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1541 | */ [ 186s] | ~~ [ 186s] 1542 | double cos(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1543 | { [ 186s] | ~ [ 186s] 1544 | double y[2], z = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1545 | int32_t n, ix; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1546 | [ 186s] | [ 186s] 1547 | /* High word of x. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1548 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1549 | [ 186s] | [ 186s] 1550 | /* |x| ~< pi/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1551 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1552 | if (ix <= 0x3FE921FB) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1553 | return __kernel_cos(x, z); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1554 | } else if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1555 | /* cos(Inf or NaN) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1556 | return x - x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1557 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1558 | /* argument reduction needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1559 | n = __ieee754_rem_pio2(x, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1560 | switch (n & 3) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1561 | case 0: [ 186s] | ~~~~~~~ [ 186s] 1562 | return __kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1563 | case 1: [ 186s] | ~~~~~~~ [ 186s] 1564 | return -__kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1565 | case 2: [ 186s] | ~~~~~~~ [ 186s] 1566 | return -__kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1567 | default: [ 186s] | ~~~~~~~~ [ 186s] 1568 | return __kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1569 | } [ 186s] | ~ [ 186s] 1570 | } [ 186s] | ~ [ 186s] 1571 | } [ 186s] | ~ [ 186s] 1572 | [ 186s] | [ 186s] 1573 | /* exp(x) [ 186s] | ~~~~~~~~~ [ 186s] 1574 | * Returns the exponential of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1575 | * [ 186s] | ~ [ 186s] 1576 | * Method [ 186s] | ~~~~~~~~ [ 186s] 1577 | * 1. Argument reduction: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1578 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1579 | * Given x, find r and integer k such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1580 | * [ 186s] | ~ [ 186s] 1581 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1582 | * [ 186s] | ~ [ 186s] 1583 | * Here r will be represented as r = hi-lo for better [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1584 | * accuracy. [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1585 | * [ 186s] | ~ [ 186s] 1586 | * 2. Approximation of exp(r) by a special rational function on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1587 | * the interval [0,0.34658]: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1588 | * Write [ 186s] | ~~~~~~~~~~~~ [ 186s] 1589 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1590 | * We use a special Remes algorithm on [0,0.34658] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1591 | * a polynomial of degree 5 to approximate R. The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1592 | * of this polynomial approximation is bounded by 2**-59. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1593 | * other words, [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1594 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1595 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1596 | * and [ 186s] | ~~~~~~~~~~ [ 186s] 1597 | * | 5 | -59 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1598 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1599 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1600 | * The computation of exp(r) thus becomes [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1601 | * 2*r [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1602 | * exp(r) = 1 + ------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1603 | * R - r [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1604 | * r*R1(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1605 | * = 1 + r + ----------- (for better accuracy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1606 | * 2 - R1(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1607 | * where [ 186s] | ~~~~~~~~~~~~ [ 186s] 1608 | * 2 4 10 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1609 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1610 | * [ 186s] | ~ [ 186s] 1611 | * 3. Scale back to obtain exp(x): [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1612 | * From step 1, we have [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1613 | * exp(x) = 2^k * exp(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1614 | * [ 186s] | ~ [ 186s] 1615 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1616 | * exp(INF) is INF, exp(NaN) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1617 | * exp(-INF) is 0, and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1618 | * for finite argument, only exp(0)=1 is exact. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1619 | * [ 186s] | ~ [ 186s] 1620 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1621 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1622 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1623 | * [ 186s] | ~ [ 186s] 1624 | * Misc. info. [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1625 | * For IEEE double [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1626 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1627 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1628 | * [ 186s] | ~ [ 186s] 1629 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1630 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1631 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1632 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1633 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1634 | */ [ 186s] | ~~ [ 186s] 1635 | double exp(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1636 | { [ 186s] | ~ [ 186s] 1637 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1638 | one [ 186s] | ~~~ [ 186s] 1639 | = 1.0, [ 186s] | ~~~~~~ [ 186s] 1640 | halF[2] = { 0.5, -0.5 }, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1641 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1642 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1643 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1644 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1645 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1646 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1647 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1648 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1649 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1650 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1651 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1652 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1653 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1654 | [ 186s] | [ 186s] 1655 | constexpr volatile double [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1656 | huge [ 186s] | ~~~~ [ 186s] 1657 | = 1.0e+300, [ 186s] | ~~~~~~~~~~~ [ 186s] 1658 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1659 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1660 | [ 186s] | [ 186s] 1661 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1662 | int32_t k = 0, xsb; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1663 | uint32_t hx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1664 | [ 186s] | [ 186s] 1665 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1666 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1667 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1668 | [ 186s] | [ 186s] 1669 | /* filter out non-finite argument */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1670 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1671 | if (hx >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1672 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1673 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1674 | if (((hx & 0xFFFFF) | lx) != 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1675 | return x + x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1676 | else [ 186s] | ~~~~ [ 186s] 1677 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1678 | } [ 186s] | ~ [ 186s] 1679 | if (x > o_threshold) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1680 | return huge * huge; /* overflow */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1681 | if (x < u_threshold) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1682 | return twom1000 * twom1000; /* underflow */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1683 | } [ 186s] | ~ [ 186s] 1684 | [ 186s] | [ 186s] 1685 | /* argument reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1686 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1687 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1688 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1689 | * value of E, as the computation below would get the last bit [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1690 | * wrong. We should probably fix the algorithm instead. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1691 | */ [ 186s] | ~~ [ 186s] 1692 | if (x == 1.0) [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1693 | return E; [ 186s] | ~~~~~~~~~ [ 186s] 1694 | hi = x - ln2HI[xsb]; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1695 | lo = ln2LO[xsb]; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1696 | k = 1 - xsb - xsb; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1697 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1698 | k = static_cast(invln2 * x + halF[xsb]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1699 | t = k; [ 186s] | ~~~~~~ [ 186s] 1700 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1701 | lo = t * ln2LO[0]; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1702 | } [ 186s] | ~ [ 186s] 1703 | STRICT_ASSIGN(double, x, hi - lo); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1704 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1705 | if (huge + x > one) [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1706 | return one + x; /* trigger inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1707 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1708 | k = 0; [ 186s] | ~~~~~~ [ 186s] 1709 | } [ 186s] | ~ [ 186s] 1710 | [ 186s] | [ 186s] 1711 | /* x is now in primary range */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1712 | t = x * x; [ 186s] | ~~~~~~~~~~ [ 186s] 1713 | if (k >= -1021) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1714 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1715 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1716 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1717 | } [ 186s] | ~ [ 186s] 1718 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1719 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1720 | return one - ((x * c) / (c - 2.0) - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1721 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1722 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1723 | } [ 186s] | ~ [ 186s] 1724 | if (k >= -1021) { [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1725 | if (k == 1024) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 1726 | return y * 2.0 * two1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1727 | return y * twopk; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1728 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1729 | return y * twopk * twom1000; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1730 | } [ 186s] | ~ [ 186s] 1731 | } [ 186s] | ~ [ 186s] 1732 | [ 186s] | [ 186s] 1733 | /* [ 186s] | ~~ [ 186s] 1734 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1735 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1736 | * 2.For x>=0.5 [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1737 | * 1 2x x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1738 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1739 | * 2 1 - x 1 - x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1740 | * [ 186s] | ~ [ 186s] 1741 | * For x<0.5 [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1742 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1743 | * [ 186s] | ~ [ 186s] 1744 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1745 | * atanh(x) is NaN if |x| > 1 with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1746 | * atanh(NaN) is that NaN with no signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1747 | * atanh(+-1) is +-INF with signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1748 | * [ 186s] | ~ [ 186s] 1749 | */ [ 186s] | ~~ [ 186s] 1750 | double atanh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1751 | { [ 186s] | ~ [ 186s] 1752 | constexpr double one = 1.0, huge = 1e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1753 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1754 | [ 186s] | [ 186s] 1755 | double t; [ 186s] | ~~~~~~~~~ [ 186s] 1756 | int32_t hx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1757 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1758 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1759 | ix = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1760 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1761 | return (x - x) / (x - x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1762 | if (ix == 0x3FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1763 | return x / zero; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1764 | if (ix < 0x3E300000 && (huge + x) > zero) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1765 | return x; /* x<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1766 | SET_HIGH_WORD(x, ix); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1767 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1768 | t = x + x; [ 186s] | ~~~~~~~~~~ [ 186s] 1769 | t = 0.5 * log1p(t + t * x / (one - x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1770 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1771 | t = 0.5 * log1p((x + x) / (one - x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1772 | } [ 186s] | ~ [ 186s] 1773 | if (hx >= 0) [ 186s] | ~~~~~~~~~~~~ [ 186s] 1774 | return t; [ 186s] | ~~~~~~~~~ [ 186s] 1775 | else [ 186s] | ~~~~ [ 186s] 1776 | return -t; [ 186s] | ~~~~~~~~~~ [ 186s] 1777 | } [ 186s] | ~ [ 186s] 1778 | [ 186s] | [ 186s] 1779 | /* log(x) [ 186s] | ~~~~~~~~~ [ 186s] 1780 | * Return the logrithm of x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1781 | * [ 186s] | ~ [ 186s] 1782 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1783 | * 1. Argument Reduction: find k and f such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1784 | * x = 2^k * (1+f), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1785 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1786 | * [ 186s] | ~ [ 186s] 1787 | * 2. Approximation of log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1788 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1789 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1790 | * = 2s + s*R [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1791 | * We use a special Reme algorithm on [0,0.1716] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1792 | * a polynomial of degree 14 to approximate R The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1793 | * of this polynomial approximation is bounded by 2**-58.45. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1794 | * other words, [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1795 | * 2 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1796 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1797 | * (the values of Lg1 to Lg7 are listed in the program) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1798 | * and [ 186s] | ~~~~~~ [ 186s] 1799 | * | 2 14 | -58.45 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1800 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1801 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1802 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1803 | * In order to guarantee error in log below 1ulp, we compute log [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1804 | * by [ 186s] | ~~~~~ [ 186s] 1805 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1806 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1807 | * [ 186s] | ~ [ 186s] 1808 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1809 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1810 | * Here ln2 is split into two floating point number: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1811 | * ln2_hi + ln2_lo, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1812 | * where n*ln2_hi is always exact for |n| < 2000. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1813 | * [ 186s] | ~ [ 186s] 1814 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1815 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1816 | * log(+INF) is +INF; log(0) is -INF with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1817 | * log(NaN) is that NaN with no signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1818 | * [ 186s] | ~ [ 186s] 1819 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1820 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1821 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1822 | * [ 186s] | ~ [ 186s] 1823 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1824 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1825 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1826 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1827 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1828 | */ [ 186s] | ~~ [ 186s] 1829 | double log(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1830 | { [ 186s] | ~ [ 186s] 1831 | constexpr double /* -- */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1832 | ln2_hi [ 186s] | ~~~~~~ [ 186s] 1833 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1834 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1835 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1836 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1837 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1838 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1839 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1840 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1841 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1842 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1843 | [ 186s] | [ 186s] 1844 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1845 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1846 | [ 186s] | [ 186s] 1847 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1848 | int32_t k, hx, i, j; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1849 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1850 | [ 186s] | [ 186s] 1851 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1852 | [ 186s] | [ 186s] 1853 | k = 0; [ 186s] | ~~~~~~ [ 186s] 1854 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1855 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1856 | return -two54 / vzero; /* log(+-0)=-inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1857 | if (hx < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1858 | return (x - x) / zero; /* log(-#) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1859 | k -= 54; [ 186s] | ~~~~~~~~ [ 186s] 1860 | x *= two54; /* subnormal number, scale up x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1861 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1862 | } [ 186s] | ~ [ 186s] 1863 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1864 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1865 | k += (hx >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1866 | hx &= 0x000FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1867 | i = (hx + 0x95F64) & 0x100000; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1868 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1869 | k += (i >> 20); [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1870 | f = x - 1.0; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1871 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1872 | if (f == zero) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1873 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1874 | return zero; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1875 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1876 | dk = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1877 | return dk * ln2_hi + dk * ln2_lo; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1878 | } [ 186s] | ~ [ 186s] 1879 | } [ 186s] | ~ [ 186s] 1880 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1881 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1882 | return f - R; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1883 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1884 | dk = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1885 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1886 | } [ 186s] | ~ [ 186s] 1887 | } [ 186s] | ~ [ 186s] 1888 | s = f / (2.0 + f); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 1889 | dk = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1890 | z = s * s; [ 186s] | ~~~~~~~~~~ [ 186s] 1891 | i = hx - 0x6147A; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1892 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 1893 | j = 0x6B851 - hx; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 1894 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1895 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1896 | i |= j; [ 186s] | ~~~~~~~ [ 186s] 1897 | R = t2 + t1; [ 186s] | ~~~~~~~~~~~~ [ 186s] 1898 | if (i > 0) { [ 186s] | ~~~~~~~~~~~~ [ 186s] 1899 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 1900 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1901 | return f - (hfsq - s * (hfsq + R)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1902 | else [ 186s] | ~~~~ [ 186s] 1903 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1904 | } else { [ 186s] | ~~~~~~~~ [ 186s] 1905 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 1906 | return f - s * (f - R); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1907 | else [ 186s] | ~~~~ [ 186s] 1908 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1909 | } [ 186s] | ~ [ 186s] 1910 | } [ 186s] | ~ [ 186s] 1911 | [ 186s] | [ 186s] 1912 | /* double log1p(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1913 | * [ 186s] | ~ [ 186s] 1914 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 1915 | * 1. Argument Reduction: find k and f such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1916 | * 1+x = 2^k * (1+f), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1917 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1918 | * [ 186s] | ~ [ 186s] 1919 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1920 | * may not be representable exactly. In that case, a correction [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1921 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1922 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1923 | * and add back the correction term c/u. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1924 | * (Note: when x > 2**53, one can simply return log(x)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1925 | * [ 186s] | ~ [ 186s] 1926 | * 2. Approximation of log1p(f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1927 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1928 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1929 | * = 2s + s*R [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 1930 | * We use a special Reme algorithm on [0,0.1716] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1931 | * a polynomial of degree 14 to approximate R The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1932 | * of this polynomial approximation is bounded by 2**-58.45. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1933 | * other words, [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 1934 | * 2 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1935 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1936 | * (the values of Lp1 to Lp7 are listed in the program) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1937 | * and [ 186s] | ~~~~~~ [ 186s] 1938 | * | 2 14 | -58.45 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1939 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1940 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1941 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1942 | * In order to guarantee error in log below 1ulp, we compute log [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1943 | * by [ 186s] | ~~~~~ [ 186s] 1944 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1945 | * [ 186s] | ~ [ 186s] 1946 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1947 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1948 | * Here ln2 is split into two floating point number: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1949 | * ln2_hi + ln2_lo, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1950 | * where n*ln2_hi is always exact for |n| < 2000. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1951 | * [ 186s] | ~ [ 186s] 1952 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 1953 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1954 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1955 | * log1p(NaN) is that NaN with no signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1956 | * [ 186s] | ~ [ 186s] 1957 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 1958 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1959 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1960 | * [ 186s] | ~ [ 186s] 1961 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 1962 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1963 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1964 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1965 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1966 | * [ 186s] | ~ [ 186s] 1967 | * Note: Assuming log() return accurate answer, the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1968 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1969 | * [ 186s] | ~ [ 186s] 1970 | * u = 1+x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 1971 | * if(u==1.0) return x ; else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1972 | * return log(u)*(x/(u-1.0)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1973 | * [ 186s] | ~ [ 186s] 1974 | * See HP-15C Advanced Functions Handbook, p.193. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1975 | */ [ 186s] | ~~ [ 186s] 1976 | double log1p(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1977 | { [ 186s] | ~ [ 186s] 1978 | constexpr double /* -- */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1979 | ln2_hi [ 186s] | ~~~~~~ [ 186s] 1980 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1981 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1982 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1983 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1984 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1985 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1986 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1987 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1988 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1989 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1990 | [ 186s] | [ 186s] 1991 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1992 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1993 | [ 186s] | [ 186s] 1994 | double hfsq, f, c, s, z, R, u; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1995 | int32_t k, hx, hu, ax; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1996 | [ 186s] | [ 186s] 1997 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1998 | ax = hx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1999 | [ 186s] | [ 186s] 2000 | c = 0; [ 186s] | ~~~~~~ [ 186s] 2001 | k = 1; [ 186s] | ~~~~~~ [ 186s] 2002 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2003 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2004 | if (x == -1.0) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2005 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2006 | else [ 186s] | ~~~~ [ 186s] 2007 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2008 | } [ 186s] | ~ [ 186s] 2009 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2010 | if (two54 + x > zero /* raise inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2011 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2012 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 2013 | else [ 186s] | ~~~~ [ 186s] 2014 | return x - x * x * 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2015 | } [ 186s] | ~ [ 186s] 2016 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2017 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2018 | f = x; [ 186s] | ~~~~~~ [ 186s] 2019 | hu = 1; [ 186s] | ~~~~~~~ [ 186s] 2020 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2021 | } [ 186s] | ~ [ 186s] 2022 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2023 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2024 | if (k != 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2025 | if (hx < 0x43400000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2026 | STRICT_ASSIGN(double, u, 1.0 + x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2027 | GET_HIGH_WORD(hu, u); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2028 | k = (hu >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2029 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2030 | c /= u; [ 186s] | ~~~~~~~ [ 186s] 2031 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2032 | u = x; [ 186s] | ~~~~~~ [ 186s] 2033 | GET_HIGH_WORD(hu, u); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2034 | k = (hu >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2035 | c = 0; [ 186s] | ~~~~~~ [ 186s] 2036 | } [ 186s] | ~ [ 186s] 2037 | hu &= 0x000FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2038 | /* [ 186s] | ~~ [ 186s] 2039 | * The approximation to sqrt(2) used in thresholds is not [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2040 | * critical. However, the ones used above must give less [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2041 | * strict bounds than the one here so that the k==0 case is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2042 | * never reached from here, since here we have committed to [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2043 | * using the correction term but don't use it if k==0. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2044 | */ [ 186s] | ~~ [ 186s] 2045 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2046 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2047 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2048 | k += 1; [ 186s] | ~~~~~~~ [ 186s] 2049 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2050 | hu = (0x00100000 - hu) >> 2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2051 | } [ 186s] | ~ [ 186s] 2052 | f = u - 1.0; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2053 | } [ 186s] | ~ [ 186s] 2054 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2055 | if (hu == 0) { /* |f| < 2**-20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2056 | if (f == zero) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2057 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2058 | return zero; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2059 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2060 | c += k * ln2_lo; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2061 | return k * ln2_hi + c; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2062 | } [ 186s] | ~ [ 186s] 2063 | } [ 186s] | ~ [ 186s] 2064 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2065 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2066 | return f - R; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2067 | else [ 186s] | ~~~~ [ 186s] 2068 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2069 | } [ 186s] | ~ [ 186s] 2070 | s = f / (2.0 + f); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2071 | z = s * s; [ 186s] | ~~~~~~~~~~ [ 186s] 2072 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2073 | if (k == 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2074 | return f - (hfsq - s * (hfsq + R)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2075 | else [ 186s] | ~~~~ [ 186s] 2076 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2077 | } [ 186s] | ~ [ 186s] 2078 | [ 186s] | [ 186s] 2079 | /* [ 186s] | ~~ [ 186s] 2080 | * k_log1p(f): [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2081 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2082 | * [ 186s] | ~ [ 186s] 2083 | * The following describes the overall strategy for computing [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2084 | * logarithms in base e. The argument reduction and adding the final [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2085 | * term of the polynomial are done by the caller for increased accuracy [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2086 | * when different bases are used. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2087 | * [ 186s] | ~ [ 186s] 2088 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2089 | * 1. Argument Reduction: find k and f such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2090 | * x = 2^k * (1+f), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2091 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2092 | * [ 186s] | ~ [ 186s] 2093 | * 2. Approximation of log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2094 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2095 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2096 | * = 2s + s*R [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2097 | * We use a special Reme algorithm on [0,0.1716] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2098 | * a polynomial of degree 14 to approximate R The maximum error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2099 | * of this polynomial approximation is bounded by 2**-58.45. In [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2100 | * other words, [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2101 | * 2 4 6 8 10 12 14 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2102 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2103 | * (the values of Lg1 to Lg7 are listed in the program) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2104 | * and [ 186s] | ~~~~~~~~~~ [ 186s] 2105 | * | 2 14 | -58.45 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2106 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2107 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2108 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2109 | * In order to guarantee error in log below 1ulp, we compute log [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2110 | * by [ 186s] | ~~~~~~~~~ [ 186s] 2111 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2112 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2113 | * [ 186s] | ~ [ 186s] 2114 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2115 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2116 | * Here ln2 is split into two floating point number: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2117 | * ln2_hi + ln2_lo, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2118 | * where n*ln2_hi is always exact for |n| < 2000. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2119 | * [ 186s] | ~ [ 186s] 2120 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2121 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2122 | * log(+INF) is +INF; log(0) is -INF with signal; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2123 | * log(NaN) is that NaN with no signal. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2124 | * [ 186s] | ~ [ 186s] 2125 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2126 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2127 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2128 | * [ 186s] | ~ [ 186s] 2129 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 2130 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2131 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2132 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2133 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2134 | */ [ 186s] | ~~ [ 186s] 2135 | [ 186s] | [ 186s] 2136 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2137 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2138 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2139 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2140 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2141 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2142 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2143 | [ 186s] | [ 186s] 2144 | /* [ 186s] | ~~ [ 186s] 2145 | * We always inline k_log1p(), since doing so produces a [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2146 | * substantial performance improvement (~40% on amd64). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2147 | */ [ 186s] | ~~ [ 186s] 2148 | static inline double k_log1p(double f) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2149 | { [ 186s] | ~ [ 186s] 2150 | double hfsq, s, z, R, w, t1, t2; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2151 | [ 186s] | [ 186s] 2152 | s = f / (2.0 + f); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2153 | z = s * s; [ 186s] | ~~~~~~~~~~ [ 186s] 2154 | w = z * z; [ 186s] | ~~~~~~~~~~ [ 186s] 2155 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2156 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2157 | R = t2 + t1; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2158 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2159 | return s * (hfsq + R); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2160 | } [ 186s] | ~ [ 186s] 2161 | [ 186s] | [ 186s] 2162 | /* [ 186s] | ~~ [ 186s] 2163 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2164 | * comments. [ 186s] | ~~~~~~~~~~~ [ 186s] 2165 | * [ 186s] | ~ [ 186s] 2166 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2167 | * then does the combining and scaling steps [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2168 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2169 | * in not-quite-routine extra precision. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2170 | */ [ 186s] | ~~ [ 186s] 2171 | double log2(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2172 | { [ 186s] | ~ [ 186s] 2173 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2174 | two54 [ 186s] | ~~~~~ [ 186s] 2175 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2176 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2177 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2178 | [ 186s] | [ 186s] 2179 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2180 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2181 | [ 186s] | [ 186s] 2182 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2183 | int32_t i, k, hx; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2184 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2185 | [ 186s] | [ 186s] 2186 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2187 | [ 186s] | [ 186s] 2188 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2189 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2190 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2191 | return -two54 / vzero; /* log(+-0)=-inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2192 | if (hx < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2193 | return (x - x) / zero; /* log(-#) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2194 | k -= 54; [ 186s] | ~~~~~~~~ [ 186s] 2195 | x *= two54; /* subnormal number, scale up x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2196 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2197 | } [ 186s] | ~ [ 186s] 2198 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2199 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2200 | if (hx == 0x3FF00000 && lx == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2201 | return zero; /* log(1) = +0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2202 | k += (hx >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2203 | hx &= 0x000FFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2204 | i = (hx + 0x95F64) & 0x100000; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2205 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2206 | k += (i >> 20); [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2207 | y = static_cast(k); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2208 | f = x - 1.0; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2209 | hfsq = 0.5 * f * f; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2210 | r = k_log1p(f); [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2211 | [ 186s] | [ 186s] 2212 | /* [ 186s] | ~~ [ 186s] 2213 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2214 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2215 | * This is fairly efficient since f-hfsq only depends on f, so can [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2216 | * be evaluated in parallel with R. Not combining hfsq with R also [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2217 | * keeps R small (though not as small as a true `lo' term would be), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2218 | * so that extra precision is not needed for terms involving R. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2219 | * [ 186s] | ~ [ 186s] 2220 | * Compiler bugs involving extra precision used to break Dekker's [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2221 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2222 | * or the multi-precision calculations were avoided when double_t [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2223 | * has extra precision. These problems are now automatically [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2224 | * avoided as a side effect of the optimization of combining the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2225 | * Dekker splitting step with the clear-low-bits step. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2226 | * [ 186s] | ~ [ 186s] 2227 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2228 | * precision to avoid a very large cancellation when x is very near [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2229 | * these values. Unlike the above cancellations, this problem is [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2230 | * specific to base 2. It is strange that adding +-1 is so much [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2231 | * harder than adding +-ln2 or +-log10_2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2232 | * [ 186s] | ~ [ 186s] 2233 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2234 | * compiler bugs are back in some configurations, sigh. And I [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2235 | * don't want to used double_t to avoid them, since that gives a [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2236 | * pessimization and the support for avoiding the pessimization [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2237 | * is not yet available. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2238 | * [ 186s] | ~ [ 186s] 2239 | * The multi-precision calculations for the multiplications are [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2240 | * routine. [ 186s] | ~~~~~~~~~~ [ 186s] 2241 | */ [ 186s] | ~~ [ 186s] 2242 | hi = f - hfsq; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2243 | SET_LOW_WORD(hi, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2244 | lo = (f - hi) - hfsq + r; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2245 | val_hi = hi * ivln2hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2246 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2247 | [ 186s] | [ 186s] 2248 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2249 | w = y + val_hi; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2250 | val_lo += (y - w) + val_hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2251 | val_hi = w; [ 186s] | ~~~~~~~~~~~ [ 186s] 2252 | [ 186s] | [ 186s] 2253 | return val_lo + val_hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2254 | } [ 186s] | ~ [ 186s] 2255 | [ 186s] | [ 186s] 2256 | /* [ 186s] | ~~ [ 186s] 2257 | * Return the base 10 logarithm of x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2258 | * [ 186s] | ~ [ 186s] 2259 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2260 | * Let log10_2hi = leading 40 bits of log10(2) and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2261 | * log10_2lo = log10(2) - log10_2hi, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2262 | * ivln10 = 1/log(10) rounded. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2263 | * Then [ 186s] | ~~~~~~~~~~~ [ 186s] 2264 | * n = ilogb(x), [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2265 | * if(n<0) n = n+1; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2266 | * x = scalbn(x,-n); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2267 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2268 | * [ 186s] | ~ [ 186s] 2269 | * Note 1: [ 186s] | ~~~~~~~~~~ [ 186s] 2270 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2271 | * mode must set to Round-to-Nearest. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2272 | * Note 2: [ 186s] | ~~~~~~~~~~ [ 186s] 2273 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2274 | * log10 is monotonic at all binary break points. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2275 | * [ 186s] | ~ [ 186s] 2276 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2277 | * log10(x) is NaN if x < 0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2278 | * log10(+INF) is +INF; log10(0) is -INF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2279 | * log10(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2280 | * log10(10**N) = N for N=0,1,...,22. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2281 | */ [ 186s] | ~~ [ 186s] 2282 | double log10(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2283 | { [ 186s] | ~ [ 186s] 2284 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2285 | two54 [ 186s] | ~~~~~ [ 186s] 2286 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2287 | ivln10 = 4.34294481903251816668e-01, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2288 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2289 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2290 | [ 186s] | [ 186s] 2291 | constexpr double zero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2292 | constexpr volatile double vzero = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2293 | [ 186s] | [ 186s] 2294 | double y; [ 186s] | ~~~~~~~~~ [ 186s] 2295 | int32_t i, k, hx; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2296 | uint32_t lx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2297 | [ 186s] | [ 186s] 2298 | EXTRACT_WORDS(hx, lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2299 | [ 186s] | [ 186s] 2300 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2301 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2302 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2303 | return -two54 / vzero; /* log(+-0)=-inf */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2304 | if (hx < 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2305 | return (x - x) / zero; /* log(-#) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2306 | k -= 54; [ 186s] | ~~~~~~~~ [ 186s] 2307 | x *= two54; /* subnormal number, scale up x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2308 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2309 | GET_LOW_WORD(lx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2310 | } [ 186s] | ~ [ 186s] 2311 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2312 | return x + x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2313 | if (hx == 0x3FF00000 && lx == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2314 | return zero; /* log(1) = +0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2315 | k += (hx >> 20) - 1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2316 | [ 186s] | [ 186s] 2317 | i = (k & 0x80000000) >> 31; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2318 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2319 | y = k + i; [ 186s] | ~~~~~~~~~~ [ 186s] 2320 | SET_HIGH_WORD(x, hx); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2321 | SET_LOW_WORD(x, lx); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2322 | [ 186s] | [ 186s] 2323 | double z = y * log10_2lo + ivln10 * log(x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2324 | return z + y * log10_2hi; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2325 | } [ 186s] | ~ [ 186s] 2326 | [ 186s] | [ 186s] 2327 | /* expm1(x) [ 186s] | ~~~~~~~~~~~ [ 186s] 2328 | * Returns exp(x)-1, the exponential of x minus 1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2329 | * [ 186s] | ~ [ 186s] 2330 | * Method [ 186s] | ~~~~~~~~ [ 186s] 2331 | * 1. Argument reduction: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2332 | * Given x, find r and integer k such that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2333 | * [ 186s] | ~ [ 186s] 2334 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2335 | * [ 186s] | ~ [ 186s] 2336 | * Here a correction term c will be computed to compensate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2337 | * the error in r when rounded to a floating-point number. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2338 | * [ 186s] | ~ [ 186s] 2339 | * 2. Approximating expm1(r) by a special rational function on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2340 | * the interval [0,0.34658]: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2341 | * Since [ 186s] | ~~~~~~~~ [ 186s] 2342 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2343 | * we define R1(r*r) by [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2344 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2345 | * That is, [ 186s] | ~~~~~~~~~~~ [ 186s] 2346 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2347 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2348 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2349 | * We use a special Reme algorithm on [0,0.347] to generate [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2350 | * a polynomial of degree 5 in r*r to approximate R1. The [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2351 | * maximum error of this polynomial approximation is bounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2352 | * by 2**-61. In other words, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2353 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2354 | * where Q1 = -1.6666666666666567384E-2, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2355 | * Q2 = 3.9682539681370365873E-4, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2356 | * Q3 = -9.9206344733435987357E-6, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2357 | * Q4 = 2.5051361420808517002E-7, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2358 | * Q5 = -6.2843505682382617102E-9; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2359 | * z = r*r, [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2360 | * with error bounded by [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2361 | * | 5 | -61 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2362 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2363 | * | | [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2364 | * [ 186s] | ~ [ 186s] 2365 | * expm1(r) = exp(r)-1 is then computed by the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2366 | * specific way which minimize the accumulation rounding error: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2367 | * 2 3 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2368 | * r r [ 3 - (R1 + R1*r/2) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2369 | * expm1(r) = r + --- + --- * [--------------------] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2370 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2371 | * [ 186s] | ~ [ 186s] 2372 | * To compensate the error in the argument reduction, we use [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2373 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2374 | * ~ expm1(r) + c + r*c [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2375 | * Thus c+r*c will be added in as the correction terms for [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2376 | * expm1(r+c). Now rearrange the term to avoid optimization [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2377 | * screw up: [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2378 | * ( 2 2 ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2379 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2380 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2381 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2382 | * ( ) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2383 | * [ 186s] | ~ [ 186s] 2384 | * = r - E [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2385 | * 3. Scale back to obtain expm1(x): [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2386 | * From step 1, we have [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2387 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2388 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2389 | * 4. Implementation notes: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2390 | * (A). To save one multiplication, we scale the coefficient Qi [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2391 | * to Qi*2^i, and replace z by (x^2)/2. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2392 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2393 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2394 | * (ii) if k=0, return r-E [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2395 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2396 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2397 | * else return 1.0+2.0*(r-E); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2398 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2399 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2400 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2401 | * [ 186s] | ~ [ 186s] 2402 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2403 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2404 | * expm1(-INF) is -1, and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2405 | * for finite argument, only expm1(0)=0 is exact. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2406 | * [ 186s] | ~ [ 186s] 2407 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2408 | * according to an error analysis, the error is always less than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2409 | * 1 ulp (unit in the last place). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2410 | * [ 186s] | ~ [ 186s] 2411 | * Misc. info. [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2412 | * For IEEE double [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2413 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2414 | * [ 186s] | ~ [ 186s] 2415 | * Constants: [ 186s] | ~~~~~~~~~~~~ [ 186s] 2416 | * The hexadecimal values are the intended ones for the following [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2417 | * constants. The decimal values may be used, provided that the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2418 | * compiler will convert from decimal to binary accurately enough [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2419 | * to produce the hexadecimal values shown. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2420 | */ [ 186s] | ~~ [ 186s] 2421 | double expm1(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2422 | { [ 186s] | ~ [ 186s] 2423 | constexpr double [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2424 | one [ 186s] | ~~~ [ 186s] 2425 | = 1.0, [ 186s] | ~~~~~~ [ 186s] 2426 | tiny = 1.0e-300, [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2427 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2428 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2429 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2430 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2431 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2432 | x*x/2: */ [ 186s] | ~~~~~~~~~ [ 186s] 2433 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2434 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2435 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2436 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2437 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2438 | [ 186s] | [ 186s] 2439 | constexpr volatile double huge = 1.0e+300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2440 | [ 186s] | [ 186s] 2441 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2442 | int32_t k, xsb; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2443 | uint32_t hx; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2444 | [ 186s] | [ 186s] 2445 | GET_HIGH_WORD(hx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2446 | xsb = hx & 0x80000000; /* sign bit of x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2447 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2448 | [ 186s] | [ 186s] 2449 | /* filter out huge and non-finite argument */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2450 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2451 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2452 | if (hx >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2453 | uint32_t low; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2454 | GET_LOW_WORD(low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2455 | if (((hx & 0xFFFFF) | low) != 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2456 | return x + x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2457 | else [ 186s] | ~~~~ [ 186s] 2458 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2459 | } [ 186s] | ~ [ 186s] 2460 | if (x > o_threshold) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2461 | return huge * huge; /* overflow */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2462 | } [ 186s] | ~ [ 186s] 2463 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2464 | /* raise inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2465 | return tiny - one; /* return -1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2466 | } [ 186s] | ~ [ 186s] 2467 | } [ 186s] | ~ [ 186s] 2468 | [ 186s] | [ 186s] 2469 | /* argument reduction */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2470 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2471 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2472 | if (xsb == 0) { [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2473 | hi = x - ln2_hi; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2474 | lo = ln2_lo; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2475 | k = 1; [ 186s] | ~~~~~~ [ 186s] 2476 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2477 | hi = x + ln2_hi; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2478 | lo = -ln2_lo; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2479 | k = -1; [ 186s] | ~~~~~~~ [ 186s] 2480 | } [ 186s] | ~ [ 186s] 2481 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2482 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2483 | t = k; [ 186s] | ~~~~~~ [ 186s] 2484 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2485 | lo = t * ln2_lo; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2486 | } [ 186s] | ~ [ 186s] 2487 | STRICT_ASSIGN(double, x, hi - lo); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2488 | c = (hi - x) - lo; [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2489 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2490 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2491 | return x - (t - (huge + x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2492 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2493 | k = 0; [ 186s] | ~~~~~~ [ 186s] 2494 | } [ 186s] | ~ [ 186s] 2495 | [ 186s] | [ 186s] 2496 | /* x is now in primary range */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2497 | hfx = 0.5 * x; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2498 | hxs = x * hfx; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2499 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2500 | t = 3.0 - r1 * hfx; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2501 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2502 | if (k == 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2503 | return x - (x * e - hxs); /* c is 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2504 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2505 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2506 | e = (x * (e - c) - c); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2507 | e -= hxs; [ 186s] | ~~~~~~~~~ [ 186s] 2508 | if (k == -1) [ 186s] | ~~~~~~~~~~~~ [ 186s] 2509 | return 0.5 * (x - e) - 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2510 | if (k == 1) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2511 | if (x < -0.25) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2512 | return -2.0 * (e - (x + 0.5)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2513 | else [ 186s] | ~~~~ [ 186s] 2514 | return one + 2.0 * (x - e); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2515 | } [ 186s] | ~ [ 186s] 2516 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2517 | y = one - (e - x); [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2518 | // TODO(mvstanton): is this replacement for the hex float [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2519 | // sufficient? [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2520 | // if (k == 1024) y = y*2.0*0x1p1023; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2521 | if (k == 1024) [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2522 | y = y * 2.0 * 8.98846567431158e+307; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2523 | else [ 186s] | ~~~~ [ 186s] 2524 | y = y * twopk; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2525 | return y - one; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2526 | } [ 186s] | ~ [ 186s] 2527 | t = one; [ 186s] | ~~~~~~~~ [ 186s] 2528 | if (k < 20) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2529 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2530 | y = t - (e - x); [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2531 | y = y * twopk; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2532 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2533 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2534 | y = x - (e + t); [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2535 | y += one; [ 186s] | ~~~~~~~~~ [ 186s] 2536 | y = y * twopk; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2537 | } [ 186s] | ~ [ 186s] 2538 | } [ 186s] | ~ [ 186s] 2539 | return y; [ 186s] | ~~~~~~~~~ [ 186s] 2540 | } [ 186s] | ~ [ 186s] 2541 | [ 186s] | [ 186s] 2542 | double cbrt(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2543 | { [ 186s] | ~ [ 186s] 2544 | constexpr uint32_t [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2545 | B1 [ 186s] | ~~ [ 186s] 2546 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2547 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2548 | [ 186s] | [ 186s] 2549 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2550 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2551 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2552 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2553 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2554 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2555 | [ 186s] | [ 186s] 2556 | int32_t hx; [ 186s] | ~~~~~~~~~~~ [ 186s] 2557 | union { [ 186s] | ~~~~~~~ [ 186s] 2558 | double value; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2559 | uint64_t bits; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2560 | } u; [ 186s] | ~~~~ [ 186s] 2561 | double r, s, t = 0.0, w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2562 | uint32_t sign; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2563 | uint32_t high, low; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2564 | [ 186s] | [ 186s] 2565 | EXTRACT_WORDS(hx, low, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2566 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2567 | hx ^= sign; [ 186s] | ~~~~~~~~~~~ [ 186s] 2568 | if (hx >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2569 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2570 | [ 186s] | [ 186s] 2571 | /* [ 186s] | ~~ [ 186s] 2572 | * Rough cbrt to 5 bits: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2573 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2574 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2575 | * "%" are integer division and modulus with rounding towards minus [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2576 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2577 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2578 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2579 | * floating point representation, for finite positive normal values, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2580 | * ordinary integer division of the value in bits magically gives [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2581 | * almost exactly the RHS of the above provided we first subtract the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2582 | * exponent bias (1023 for doubles) and later add it back. We do the [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2583 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2584 | * division rounds towards minus infinity; this is also efficient. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2585 | */ [ 186s] | ~~ [ 186s] 2586 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2587 | if ((hx | low) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2588 | return (x); /* cbrt(0) is itself */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2589 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2590 | t *= x; [ 186s] | ~~~~~~~ [ 186s] 2591 | GET_HIGH_WORD(high, t); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2592 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2593 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2594 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2595 | } [ 186s] | ~ [ 186s] 2596 | [ 186s] | [ 186s] 2597 | /* [ 186s] | ~~ [ 186s] 2598 | * New cbrt to 23 bits: [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2599 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2600 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2601 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2602 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2603 | * gives us bounds for r = t**3/x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2604 | * [ 186s] | ~ [ 186s] 2605 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2606 | */ [ 186s] | ~~ [ 186s] 2607 | r = (t * t) * (t / x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2608 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2609 | [ 186s] | [ 186s] 2610 | /* [ 186s] | ~~ [ 186s] 2611 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2612 | * the result is larger in magnitude than cbrt(x) but not much more than [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2613 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2614 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2615 | * in the rounded t, the infinite-precision error in the Newton [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2616 | * approximation barely affects third digit in the final error [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2617 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2618 | * before the final error is larger than 0.667 ulps. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2619 | */ [ 186s] | ~~ [ 186s] 2620 | u.value = t; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2621 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2622 | t = u.value; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2623 | [ 186s] | [ 186s] 2624 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2625 | s = t * t; /* t*t is exact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2626 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2627 | w = t + t; /* t+t is exact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2628 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2629 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2630 | [ 186s] | [ 186s] 2631 | return (t); [ 186s] | ~~~~~~~~~~~ [ 186s] 2632 | } [ 186s] | ~ [ 186s] 2633 | [ 186s] | [ 186s] 2634 | /* sin(x) [ 186s] | ~~~~~~~~~ [ 186s] 2635 | * Return sine function of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2636 | * [ 186s] | ~ [ 186s] 2637 | * kernel function: [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2638 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2639 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2640 | * __ieee754_rem_pio2 ... argument reduction routine [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2641 | * [ 186s] | ~ [ 186s] 2642 | * Method. [ 186s] | ~~~~~~~~~ [ 186s] 2643 | * Let S,C and T denote the sin, cos and tan respectively on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2644 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2645 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2646 | * We have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2647 | * [ 186s] | ~ [ 186s] 2648 | * n sin(x) cos(x) tan(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2649 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2650 | * 0 S C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2651 | * 1 C -S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2652 | * 2 -S -C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2653 | * 3 -C S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2654 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2655 | * [ 186s] | ~ [ 186s] 2656 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2657 | * Let trig be any of sin, cos, or tan. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2658 | * trig(+-INF) is NaN, with signals; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2659 | * trig(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2660 | * [ 186s] | ~ [ 186s] 2661 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2662 | * TRIG(x) returns trig(x) nearly rounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2663 | */ [ 186s] | ~~ [ 186s] 2664 | double sin(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2665 | { [ 186s] | ~ [ 186s] 2666 | double y[2], z = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2667 | int32_t n, ix; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2668 | [ 186s] | [ 186s] 2669 | /* High word of x. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2670 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2671 | [ 186s] | [ 186s] 2672 | /* |x| ~< pi/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2673 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2674 | if (ix <= 0x3FE921FB) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2675 | return __kernel_sin(x, z, 0); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2676 | } else if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2677 | /* sin(Inf or NaN) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2678 | return x - x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2679 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2680 | /* argument reduction needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2681 | n = __ieee754_rem_pio2(x, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2682 | switch (n & 3) { [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2683 | case 0: [ 186s] | ~~~~~~~ [ 186s] 2684 | return __kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2685 | case 1: [ 186s] | ~~~~~~~ [ 186s] 2686 | return __kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2687 | case 2: [ 186s] | ~~~~~~~ [ 186s] 2688 | return -__kernel_sin(y[0], y[1], 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2689 | default: [ 186s] | ~~~~~~~~ [ 186s] 2690 | return -__kernel_cos(y[0], y[1]); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2691 | } [ 186s] | ~ [ 186s] 2692 | } [ 186s] | ~ [ 186s] 2693 | } [ 186s] | ~ [ 186s] 2694 | [ 186s] | [ 186s] 2695 | /* tan(x) [ 186s] | ~~~~~~~~~ [ 186s] 2696 | * Return tangent function of x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2697 | * [ 186s] | ~ [ 186s] 2698 | * kernel function: [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2699 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2700 | * __ieee754_rem_pio2 ... argument reduction routine [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2701 | * [ 186s] | ~ [ 186s] 2702 | * Method. [ 186s] | ~~~~~~~~~ [ 186s] 2703 | * Let S,C and T denote the sin, cos and tan respectively on [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2704 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2705 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2706 | * We have [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2707 | * [ 186s] | ~ [ 186s] 2708 | * n sin(x) cos(x) tan(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2709 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2710 | * 0 S C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2711 | * 1 C -S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2712 | * 2 -S -C T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2713 | * 3 -C S -1/T [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2714 | * ---------------------------------------------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2715 | * [ 186s] | ~ [ 186s] 2716 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2717 | * Let trig be any of sin, cos, or tan. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2718 | * trig(+-INF) is NaN, with signals; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2719 | * trig(NaN) is that NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2720 | * [ 186s] | ~ [ 186s] 2721 | * Accuracy: [ 186s] | ~~~~~~~~~~~ [ 186s] 2722 | * TRIG(x) returns trig(x) nearly rounded [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2723 | */ [ 186s] | ~~ [ 186s] 2724 | double tan(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2725 | { [ 186s] | ~ [ 186s] 2726 | double y[2], z = 0.0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2727 | int32_t n, ix; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2728 | [ 186s] | [ 186s] 2729 | /* High word of x. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2730 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2731 | [ 186s] | [ 186s] 2732 | /* |x| ~< pi/4 */ [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2733 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2734 | if (ix <= 0x3FE921FB) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2735 | return __kernel_tan(x, z, 1); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2736 | } else if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2737 | /* tan(Inf or NaN) is NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2738 | return x - x; /* NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2739 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2740 | /* argument reduction needed */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2741 | n = __ieee754_rem_pio2(x, y); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2742 | /* 1 -> n even, -1 -> n odd */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2743 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2744 | } [ 186s] | ~ [ 186s] 2745 | } [ 186s] | ~ [ 186s] 2746 | [ 186s] | [ 186s] 2747 | /* [ 186s] | ~~ [ 186s] 2748 | * ES6 draft 09-27-13, section 20.2.2.12. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2749 | * Math.cosh [ 186s] | ~~~~~~~~~~~ [ 186s] 2750 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2751 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2752 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2753 | * 2. [ 186s] | ~~~~~~~~~ [ 186s] 2754 | * [ exp(x) - 1 ]^2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2755 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2756 | * 2*exp(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2757 | * [ 186s] | ~ [ 186s] 2758 | * exp(x) + 1/exp(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2759 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2760 | * 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2761 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2762 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2763 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2764 | * [ 186s] | ~ [ 186s] 2765 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2766 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2767 | * only cosh(0)=1 is exact for finite x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2768 | */ [ 186s] | ~~ [ 186s] 2769 | double cosh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2770 | { [ 186s] | ~ [ 186s] 2771 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2772 | constexpr double one = 1.0, half = 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2773 | constexpr volatile double huge = 1.0e+300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2774 | [ 186s] | [ 186s] 2775 | int32_t ix; [ 186s] | ~~~~~~~~~~~ [ 186s] 2776 | [ 186s] | [ 186s] 2777 | /* High word of |x|. */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2778 | GET_HIGH_WORD(ix, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2779 | ix &= 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2780 | [ 186s] | [ 186s] 2781 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2782 | if (ix < 0x3FD62E43) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2783 | double t = expm1(fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2784 | double w = one + t; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2785 | // For |x| < 2^-55, cosh(x) = 1 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2786 | if (ix < 0x3C800000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2787 | return w; [ 186s] | ~~~~~~~~~ [ 186s] 2788 | return one + (t * t) / (w + w); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2789 | } [ 186s] | ~ [ 186s] 2790 | [ 186s] | [ 186s] 2791 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2792 | if (ix < 0x40360000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2793 | double t = exp(fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2794 | return half * t + half / t; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2795 | } [ 186s] | ~ [ 186s] 2796 | [ 186s] | [ 186s] 2797 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2798 | if (ix < 0x40862E42) [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2799 | return half * exp(fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2800 | [ 186s] | [ 186s] 2801 | // |x| in [log(maxdouble), overflowthreshold] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2802 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2803 | double w = exp(half * fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2804 | double t = half * w; [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2805 | return t * w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2806 | } [ 186s] | ~ [ 186s] 2807 | [ 186s] | [ 186s] 2808 | /* x is INF or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2809 | if (ix >= 0x7FF00000) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2810 | return x * x; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2811 | [ 186s] | [ 186s] 2812 | // |x| > overflowthreshold. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2813 | return huge * huge; [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2814 | } [ 186s] | ~ [ 186s] 2815 | [ 186s] | [ 186s] 2816 | /* [ 186s] | ~~ [ 186s] 2817 | * ES6 draft 09-27-13, section 20.2.2.30. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2818 | * Math.sinh [ 186s] | ~~~~~~~~~~~ [ 186s] 2819 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2820 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2821 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2822 | * 2. [ 186s] | ~~~~~~~~~ [ 186s] 2823 | * E + E/(E+1) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2824 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2825 | * 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2826 | * [ 186s] | ~ [ 186s] 2827 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2828 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2829 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2830 | * [ 186s] | ~ [ 186s] 2831 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2832 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2833 | * only sinh(0)=0 is exact for finite x. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2834 | */ [ 186s] | ~~ [ 186s] 2835 | double sinh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2836 | { [ 186s] | ~ [ 186s] 2837 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2838 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2839 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2840 | constexpr double shuge = 1.0e307; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2841 | [ 186s] | [ 186s] 2842 | double h = (x < 0) ? -0.5 : 0.5; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2843 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2844 | double ax = fabs(x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~ [ 186s] 2845 | if (ax < 22) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2846 | // For |x| < 2^-28, sinh(x) = x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2847 | if (ax < TWO_M28) [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2848 | return x; [ 186s] | ~~~~~~~~~ [ 186s] 2849 | double t = expm1(ax); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2850 | if (ax < 1) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2851 | return h * (2 * t - t * t / (t + 1)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2852 | } [ 186s] | ~ [ 186s] 2853 | return h * (t + t / (t + 1)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2854 | } [ 186s] | ~ [ 186s] 2855 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2856 | if (ax < LOG_MAXD) [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2857 | return h * exp(ax); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2858 | // |x| in [log(maxdouble), overflowthreshold] [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2859 | // overflowthreshold = 710.4758600739426 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2860 | if (ax <= KSINH_OVERFLOW) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2861 | double w = exp(0.5 * ax); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2862 | double t = h * w; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2863 | return t * w; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2864 | } [ 186s] | ~ [ 186s] 2865 | // |x| > overflowthreshold or is NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2866 | // Return Infinity of the appropriate sign or NaN. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2867 | return x * shuge; [ 186s] | ~~~~~~~~~~~~~~~~~ [ 186s] 2868 | } [ 186s] | ~ [ 186s] 2869 | [ 186s] | [ 186s] 2870 | /* Tanh(x) [ 186s] | ~~~~~~~~~~ [ 186s] 2871 | * Return the Hyperbolic Tangent of x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2872 | * [ 186s] | ~ [ 186s] 2873 | * Method : [ 186s] | ~~~~~~~~~~ [ 186s] 2874 | * x -x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2875 | * e - e [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2876 | * 0. tanh(x) is defined to be ----------- [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2877 | * x -x [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2878 | * e + e [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2879 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2880 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2881 | * -t [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2882 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2883 | * t + 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2884 | * 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2885 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2886 | * t + 2 [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2887 | * 22 <= x <= INF : tanh(x) := 1. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2888 | * [ 186s] | ~ [ 186s] 2889 | * Special cases: [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2890 | * tanh(NaN) is NaN; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2891 | * only tanh(0)=0 is exact for finite argument. [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2892 | */ [ 186s] | ~~ [ 186s] 2893 | double tanh(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2894 | { [ 186s] | ~ [ 186s] 2895 | constexpr volatile double tiny = 1.0e-300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2896 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2897 | double t, z; [ 186s] | ~~~~~~~~~~~~ [ 186s] 2898 | int32_t jx, ix; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2899 | [ 186s] | [ 186s] 2900 | GET_HIGH_WORD(jx, x); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2901 | ix = jx & 0x7FFFFFFF; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2902 | [ 186s] | [ 186s] 2903 | /* x is INF or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2904 | if (ix >= 0x7FF00000) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2905 | if (jx >= 0) [ 186s] | ~~~~~~~~~~~~ [ 186s] 2906 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2907 | else [ 186s] | ~~~~ [ 186s] 2908 | return one / x - one; /* tanh(NaN) = NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2909 | } [ 186s] | ~ [ 186s] 2910 | [ 186s] | [ 186s] 2911 | /* |x| < 22 */ [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2912 | if (ix < 0x40360000) { /* |x|<22 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2913 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2914 | return x; /* tanh(tiny) = tiny with inexact */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2915 | } [ 186s] | ~ [ 186s] 2916 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2917 | t = expm1(two * fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2918 | z = one - two / (t + two); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2919 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2920 | t = expm1(-two * fabs(x)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2921 | z = -t / (t + two); [ 186s] | ~~~~~~~~~~~~~~~~~~~ [ 186s] 2922 | } [ 186s] | ~ [ 186s] 2923 | /* |x| >= 22, return +-1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2924 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2925 | z = one - tiny; /* raise inexact flag */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2926 | } [ 186s] | ~ [ 186s] 2927 | return (jx >= 0) ? z : -z; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2928 | } [ 186s] | ~ [ 186s] 2929 | [ 186s] | [ 186s] 2930 | double ceil(double x) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2931 | { [ 186s] | ~ [ 186s] 2932 | constexpr double huge = 1.0e300; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2933 | int i0, i1, j0; [ 186s] | ~~~~~~~~~~~~~~~ [ 186s] 2934 | unsigned i, j; [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2935 | i0 = __HI(x); [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2936 | i1 = __LO(x); [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2937 | j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2938 | if (j0 < 20) { [ 186s] | ~~~~~~~~~~~~~~ [ 186s] 2939 | if (j0 < 0) { /* raise inexact if x != 0 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2940 | if (huge + x > 0.0) { /* return 0*sign(x) if |x|<1 */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2941 | if (i0 < 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2942 | i0 = 0x80000000; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2943 | i1 = 0; [ 186s] | ~~~~~~~ [ 186s] 2944 | } else if ((i0 | i1) != 0) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2945 | i0 = 0x3ff00000; [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2946 | i1 = 0; [ 186s] | ~~~~~~~ [ 186s] 2947 | } [ 186s] | ~ [ 186s] 2948 | } [ 186s] | ~ [ 186s] 2949 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2950 | i = (0x000fffff) >> j0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2951 | if (((i0 & i) | i1) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2952 | return x; /* x is integral */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2953 | if (huge + x > 0.0) { /* raise inexact flag */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2954 | if (i0 > 0) [ 186s] | ~~~~~~~~~~~ [ 186s] 2955 | i0 += (0x00100000) >> j0; [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2956 | i0 &= (~i); [ 186s] | ~~~~~~~~~~~ [ 186s] 2957 | i1 = 0; [ 186s] | ~~~~~~~ [ 186s] 2958 | } [ 186s] | ~ [ 186s] 2959 | } [ 186s] | ~ [ 186s] 2960 | } else if (j0 > 51) { [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2961 | if (j0 == 0x400) [ 186s] | ~~~~~~~~~~~~~~~~ [ 186s] 2962 | return x + x; /* inf or NaN */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2963 | else [ 186s] | ~~~~ [ 186s] 2964 | return x; /* x is integral */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2965 | } else { [ 186s] | ~~~~~~~~ [ 186s] 2966 | i = ((unsigned)(0xffffffff)) >> (j0 - 20); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2967 | if ((i1 & i) == 0) [ 186s] | ~~~~~~~~~~~~~~~~~~ [ 186s] 2968 | return x; /* x is integral */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2969 | if (huge + x > 0.0) { /* raise inexact flag */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2970 | if (i0 > 0) { [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2971 | if (j0 == 20) [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2972 | i0 += 1; [ 186s] | ~~~~~~~~ [ 186s] 2973 | else { [ 186s] | ~~~~~~ [ 186s] 2974 | j = i1 + (1 << (52 - j0)); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2975 | if (j < (unsigned)i1) [ 186s] | ~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2976 | i0 += 1; /* got a carry */ [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 2977 | i1 = j; [ 186s] | ~~~~~~~ [ 186s] 2978 | } [ 186s] | ~ [ 186s] 2979 | } [ 186s] | ~ [ 186s] 2980 | i1 &= (~i); [ 186s] | ~~~~~~~~~~~ [ 186s] 2981 | } [ 186s] | ~ [ 186s] 2982 | } [ 186s] | ~ [ 186s] 2983 | __HI(x) = i0; [ 186s] | ~~~~~~~~~~~~~ [ 186s] 2984 | __LO(x) = i1; [ 186s] | ~~~~~~ [ 186s] third_party/escargot/src/runtime/IEEE754.cpp:2984:5: note: in expansion of macro '__LO' [ 186s] 2984 | __LO(x) = i1; [ 186s] | ^~~~ [ 186s] third_party/escargot/src/runtime/IEEE754.cpp: In function 'int Escargot::ieee754::{anonymous}::__kernel_rem_pio2(double*, double*, int, int, int, const int32_t*)': [ 186s] third_party/escargot/src/runtime/IEEE754.cpp:795:18: warning: 'fq[0]' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 186s] 795 | fw = fq[0] - fw; [ 186s] | ~~~~^ [ 186s] third_party/escargot/src/runtime/IEEE754.cpp:795:18: warning: 'fq[0]' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 186s] [157/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/Lexer.cpp.o [ 186s] [158/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/Script.cpp.o [ 186s] [159/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ErrorObject.cpp.o [ 186s] [160/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectProxyObject.cpp.o [ 186s] [161/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ExecutionPauser.cpp.o [ 186s] [162/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Job.cpp.o [ 186s] [163/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectPrivateMemberStructure.cpp.o [ 186s] [164/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/JobQueue.cpp.o [ 186s] [165/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/DateObject.cpp.o [ 186s] [166/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/EnumerateObject.cpp.o [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 186s] from third_party/escargot/src/Escargot.h:223, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In static member function 'static bool Escargot::EnumerateObjectWithDestruction::executeEnumeration(Escargot::ExecutionState&, Escargot::EncodedValueVector&)::::_FUN(Escargot::ExecutionState&, Escargot::Object*, const Escargot::ObjectPropertyName&, const Escargot::ObjectStructurePropertyDescriptor&, void*)': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1195 | _M_realloc_insert(end(), __x); [ 186s] | ^~~~~~~~~~~~~~~~~ [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 186s] from third_party/escargot/src/Escargot.h:202, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In member function 'virtual void Escargot::EnumerateObjectWithDestruction::executeEnumeration(Escargot::ExecutionState&, Escargot::EncodedValueVector&)': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1967:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1967 | std::__introsort_loop(__first, __last, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 186s] 1968 | std::__lg(__last - __first) * 2, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1969 | __comp); [ 186s] | ~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1970:31: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1970 | std::__final_insertion_sort(__first, __last, __comp); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 186s] from third_party/escargot/src/Escargot.h:223, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In static member function 'static bool Escargot::EnumerateObjectWithIteration::executeEnumeration(Escargot::ExecutionState&, Escargot::EncodedValueVector&)::::_FUN(Escargot::ExecutionState&, Escargot::Object*, const Escargot::ObjectPropertyName&, const Escargot::ObjectStructurePropertyDescriptor&, void*)': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1195 | _M_realloc_insert(end(), __x); [ 186s] | ^~~~~~~~~~~~~~~~~ [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 186s] from third_party/escargot/src/Escargot.h:202, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In member function 'virtual void Escargot::EnumerateObjectWithIteration::executeEnumeration(Escargot::ExecutionState&, Escargot::EncodedValueVector&)': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1967:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1967 | std::__introsort_loop(__first, __last, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 186s] 1968 | std::__lg(__last - __first) * 2, [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] 1969 | __comp); [ 186s] | ~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1970:31: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1970 | std::__final_insertion_sort(__first, __last, __comp); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 186s] from third_party/escargot/src/Escargot.h:223, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const long long unsigned int&}; _Tp = long long unsigned int; _Alloc = std::allocator]': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 186s] 426 | vector<_Tp, _Alloc>:: [ 186s] | ^~~~~~~~~~~~~~~~~~~ [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 186s] from third_party/escargot/src/Escargot.h:202, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__introsort_loop(_RandomAccessIterator, _RandomAccessIterator, _Size, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Size = int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1939 | __introsort_loop(_RandomAccessIterator __first, [ 186s] | ^~~~~~~~~~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1953:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1953 | std::__introsort_loop(__cut, __last, __depth_limit, __comp); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__final_insertion_sort(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1879:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1879 | __final_insertion_sort(_RandomAccessIterator __first, [ 186s] | ^~~~~~~~~~~~~~~~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1879:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1884:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1884 | std::__insertion_sort(__first, __first + int(_S_threshold), __comp); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1889:23: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1889 | std::__insertion_sort(__first, __last, __comp); [ 186s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__insertion_sort(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 1839 | __insertion_sort(_RandomAccessIterator __first, [ 186s] | ^~~~~~~~~~~~~~~~ [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:61, [ 186s] from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 186s] from third_party/escargot/src/Escargot.h:202, [ 186s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h: In function 'void std::__adjust_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Distance = int; _Tp = long long unsigned int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 186s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h:214:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 186s] 214 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, [ 186s] | ^~~~~~~~~~~~~ [ 186s] [167/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GeneratorObject.cpp.o [ 186s] [168/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/SharedArrayBufferObject.cpp.o [ 186s] [169/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/MapObject.cpp.o [ 187s] [170/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IteratorObject.cpp.o [ 187s] [171/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/FunctionTemplate.cpp.o [ 187s] [172/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/PointerValue.cpp.o [ 187s] [173/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/NumberObject.cpp.o [ 187s] [174/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/NativeFunctionObject.cpp.o [ 187s] [175/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlNumberFormat.cpp.o [ 187s] [176/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/api/EscargotPublic.cpp.o [ 187s] In file included from third_party/escargot/src/runtime/ObjectStructurePropertyDescriptor.h:23, [ 187s] from third_party/escargot/src/runtime/ObjectStructure.h:26, [ 187s] from third_party/escargot/src/runtime/Object.h:24, [ 187s] from third_party/escargot/src/runtime/ValueInlines.h:23, [ 187s] from third_party/escargot/src/runtime/Value.h:303, [ 187s] from third_party/escargot/src/parser/ast/Node.h:24, [ 187s] from third_party/escargot/src/api/EscargotPublic.cpp:23: [ 187s] third_party/escargot/src/runtime/EncodedValue.h: In member function 'void Escargot::TemplateRef::set(const Escargot::TemplatePropertyNameRef&, Escargot::ValueRef*, bool, bool, bool)': [ 187s] third_party/escargot/src/runtime/EncodedValue.h:296:18: warning: '*((void*)(&)+4).Escargot::EncodedValue::m_data.Escargot::EncodedValueData::payload' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 187s] 296 | auto payload = m_data.payload; [ 187s] | ^~~~~~~ [ 187s] third_party/escargot/src/runtime/EncodedValue.h:296:18: warning: '*((void*)(&)+4).Escargot::EncodedValue::m_data.Escargot::EncodedValueData::payload' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 187s] [177/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ModuleNamespaceObject.cpp.o [ 187s] [178/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/EnvironmentRecord.cpp.o [ 188s] [179/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/FunctionObject.cpp.o [ 188s] [180/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectStructure.cpp.o [ 188s] [181/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/interpreter/ByteCodeGenerator.cpp.o [ 188s] [182/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectTemplate.cpp.o [ 188s] [183/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObject.cpp.o [ 188s] [184/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/RopeString.cpp.o [ 188s] [185/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ProxyObject.cpp.o [ 188s] [186/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/StringView.cpp.o [ 188s] [187/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/StringBuilder.cpp.o [ 188s] [188/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/wasm/ExportedFunctionObject.cpp.o [ 189s] [189/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ReloadableString.cpp.o [ 189s] [190/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/wasm/WASMObject.cpp.o [ 189s] [191/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/PromiseObject.cpp.o [ 189s] [192/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/wasm/WASMOperations.cpp.o [ 189s] [193/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/wasm/WASMValueConverter.cpp.o [ 189s] [194/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlDateTimeFormat.cpp.o [ 189s] [195/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/SymbolObject.cpp.o [ 189s] [196/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ThreadLocal.cpp.o [ 189s] [197/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ScriptClassMethodFunctionObject.cpp.o [ 189s] [198/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/SetObject.cpp.o [ 189s] [199/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ScriptAsyncFunctionObject.cpp.o [ 189s] [200/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ScriptAsyncGeneratorFunctionObject.cpp.o [ 189s] [201/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/util/BasicString.cpp.o [ 190s] [202/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ScriptVirtualArrowFunctionObject.cpp.o [ 190s] [203/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ScriptArrowFunctionObject.cpp.o [ 190s] [204/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/util/Vector.cpp.o [ 190s] [205/1201] Building CXX object 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Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrInterpreter.cpp.o [ 195s] [279/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrPattern.cpp.o [ 197s] [280/1201] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/StaticStrings.cpp.o [ 199s] [281/1201] BUILD LIBWEBSOCKETS [ 199s] BUILD LIBWEBSOCKETS [ 199s] -- Compiled with LWS_WITH_DIR and LWS_WITH_DIR [ 199s] -- The C compiler identification is GNU 9.2.0 [ 199s] -- Check for working C compiler: /bin/cc [ 199s] -- Check for working C compiler: /bin/cc -- works [ 199s] -- Detecting C compiler ABI info [ 199s] -- Detecting C compiler ABI info - done [ 199s] -- Detecting C compile features [ 199s] -- Detecting C compile features - done [ 199s] -- CMAKE_TOOLCHAIN_FILE='' [ 199s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 199s] -- Performing Test LWS_HAVE_inline [ 199s] -- Performing Test LWS_HAVE_inline - Success [ 199s] -- 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199s] -- Looking for execvpe - found [ 199s] -- Looking for getifaddrs [ 199s] -- Looking for getifaddrs - found [ 199s] -- Looking for snprintf [ 199s] -- Looking for snprintf - found [ 199s] -- Looking for _snprintf [ 199s] -- Looking for _snprintf - not found [ 199s] -- Looking for _vsnprintf [ 199s] -- Looking for _vsnprintf - not found [ 199s] -- Looking for getloadavg [ 199s] -- Looking for getloadavg - found [ 199s] -- Looking for atoll [ 199s] -- Looking for atoll - found [ 199s] -- Looking for _atoi64 [ 199s] -- Looking for _atoi64 - not found [ 199s] -- Looking for _stat32i64 [ 199s] -- Looking for _stat32i64 - not found [ 199s] -- Looking for clock_gettime [ 199s] -- Looking for clock_gettime - found [ 199s] -- Looking for dlfcn.h [ 199s] -- Looking for dlfcn.h - found [ 199s] -- Looking for fcntl.h [ 199s] -- Looking for fcntl.h - found [ 199s] -- Looking for in6addr.h [ 199s] -- Looking for in6addr.h - not found [ 199s] -- Looking for memory.h [ 199s] -- Looking for memory.h - found [ 199s] -- Looking for netinet/in.h [ 199s] -- Looking for netinet/in.h - found [ 199s] -- Looking for stdint.h [ 199s] -- Looking for stdint.h - found [ 199s] -- Looking for stdlib.h [ 199s] -- Looking for stdlib.h - found [ 199s] -- Looking for strings.h [ 199s] -- Looking for strings.h - found [ 199s] -- Looking for string.h [ 199s] -- Looking for string.h - found [ 199s] -- Looking for sys/prctl.h [ 199s] -- Looking for sys/prctl.h - found [ 199s] -- Looking for sys/socket.h [ 199s] -- Looking for sys/socket.h - found [ 199s] -- Looking for sys/sockio.h [ 199s] -- Looking for sys/sockio.h - not found [ 199s] -- Looking for sys/stat.h [ 199s] -- Looking for sys/stat.h - found [ 199s] -- Looking for sys/types.h [ 199s] -- Looking for sys/types.h - found [ 199s] -- Looking for unistd.h [ 199s] -- Looking for unistd.h - found [ 199s] -- Looking for vfork.h [ 199s] -- Looking for vfork.h - not found [ 199s] -- Looking for sys/capability.h [ 199s] -- Looking for sys/capability.h - not found [ 199s] -- Looking for malloc.h [ 199s] -- Looking for malloc.h - found [ 199s] -- Looking for pthread.h [ 199s] -- Looking for pthread.h - found [ 199s] -- Looking for inttypes.h [ 199s] -- Looking for inttypes.h - found [ 199s] -- Looking for cap_set_flag in cap [ 199s] -- Looking for cap_set_flag in cap - not found [ 199s] -- Looking for 4 include files stdlib.h, ..., float.h [ 199s] -- Looking for 4 include files stdlib.h, ..., float.h - found [ 199s] -- Performing Test LWS_HAS_INTPTR_T [ 199s] -- Performing Test LWS_HAS_INTPTR_T - Success [ 199s] -- Performing Test LWS_HAS_PTHREAD_SETNAME_NP [ 199s] -- Performing Test LWS_HAS_PTHREAD_SETNAME_NP - Success [ 199s] -- Performing Test LWS_HAS_GETOPT_LONG [ 199s] -- Performing Test LWS_HAS_GETOPT_LONG - Success [ 199s] -- Performing Test LWS_GCC_HAS_IGNORED_QUALIFIERS [ 199s] -- Performing Test LWS_GCC_HAS_IGNORED_QUALIFIERS - Success [ 199s] -- Performing Test LWS_GCC_HAS_TYPE_LIMITS [ 199s] -- Performing 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SSL_CTX_get0_certificate - found [ 199s] -- Looking for SSL_get0_alpn_selected [ 199s] -- Looking for SSL_get0_alpn_selected - found [ 199s] -- Looking for SSL_set_alpn_protos [ 199s] -- Looking for SSL_set_alpn_protos - found [ 199s] -- Looking for EVP_aes_128_cfb8 [ 199s] -- Looking for EVP_aes_128_cfb8 - found [ 199s] -- Looking for EVP_aes_128_cfb128 [ 199s] -- Looking for EVP_aes_128_cfb128 - found [ 199s] -- Looking for EVP_aes_192_cfb8 [ 199s] -- Looking for EVP_aes_192_cfb8 - found [ 199s] -- Looking for EVP_aes_192_cfb128 [ 199s] -- Looking for EVP_aes_192_cfb128 - found [ 199s] -- Looking for EVP_aes_256_cfb8 [ 199s] -- Looking for EVP_aes_256_cfb8 - found [ 199s] -- Looking for EVP_aes_256_cfb128 [ 199s] -- Looking for EVP_aes_256_cfb128 - found [ 199s] -- Looking for EVP_aes_128_xts [ 199s] -- Looking for EVP_aes_128_xts - found [ 199s] -- Looking for RSA_verify_pss_mgf1 [ 199s] -- Looking for RSA_verify_pss_mgf1 - not found [ 199s] -- Looking for HMAC_CTX_new [ 199s] -- Looking for HMAC_CTX_new - found [ 199s] -- Looking for SSL_CTX_set_ciphersuites [ 199s] -- Looking for SSL_CTX_set_ciphersuites - found [ 199s] -- Performing Test LWS_HAVE_SSL_EXTRA_CHAIN_CERTS [ 199s] -- Performing Test LWS_HAVE_SSL_EXTRA_CHAIN_CERTS - Success [ 199s] -- Performing Test LWS_HAVE_EVP_MD_CTX_free [ 199s] -- Performing Test LWS_HAVE_EVP_MD_CTX_free - Success [ 199s] -- Looking for ECDSA_SIG_set0 [ 199s] -- Looking for ECDSA_SIG_set0 - found [ 199s] -- Looking for BN_bn2binpad [ 199s] -- Looking for BN_bn2binpad - found [ 199s] -- Looking for EVP_aes_128_wrap [ 199s] -- Looking for EVP_aes_128_wrap - found [ 199s] -- Looking for EC_POINT_get_affine_coordinates [ 199s] -- Looking for EC_POINT_get_affine_coordinates - found [ 199s] -- Looking for TLS_client_method [ 199s] -- Looking for TLS_client_method - found [ 199s] -- Looking for TLSv1_2_client_method [ 199s] -- Looking for TLSv1_2_client_method - found [ 199s] -- Performing Test LWS_HAVE_PIPE2 [ 199s] -- Performing Test LWS_HAVE_PIPE2 - Success [ 199s] -- Performing Test LWS_HAVE_TCP_USER_TIMEOUT [ 199s] -- Performing Test LWS_HAVE_TCP_USER_TIMEOUT - Success [ 199s] Searching for OpenSSL executable and dlls [ 199s] OpenSSL executable: OPENSSL_EXECUTABLE-NOTFOUND [ 199s] GENCERTS = 1 [ 199s] Generating SSL Certificates for the test-server... [ 199s] CMake Warning at CMakeLists.txt:2116 (message): [ 199s] !!! Failed to generate SSL certificate for Test Server!!!: [ 199s] [ 199s] OpenSSL return code = No such file or directory [ 199s] [ 199s] [ 199s] CMake Warning (dev) at CMakeLists.txt:2296 (add_custom_command): [ 199s] Policy CMP0040 is not set: The target in the TARGET signature of [ 199s] add_custom_command() must exist and must be defined in the current [ 199s] directory. Run "cmake --help-policy CMP0040" for policy details. Use the [ 199s] cmake_policy command to set the policy and suppress this warning. [ 199s] [ 199s] No TARGET 'test-server' has been created in this directory. [ 199s] This warning is for project developers. Use -Wno-dev to suppress it. [ 199s] [ 199s] -- Looking for RPMTools... - found rpmuild is /bin/rpmbuild [ 199s] -- RPMTools:: Using RPM_ROOTDIR=/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/RPM [ 199s] -- Simple copy spec file --> [ 199s] --------------------------------------------------------------------- [ 199s] Settings: (For more help do cmake -LH ) [ 199s] --------------------------------------------------------------------- [ 199s] LWS_WITH_STATIC = ON [ 199s] LWS_WITH_SHARED = OFF [ 199s] LWS_WITH_SSL = ON (SSL Support) [ 199s] LWS_SSL_CLIENT_USE_OS_CA_CERTS = 1 [ 199s] LWS_WITH_WOLFSSL = OFF (wolfSSL/CyaSSL replacement for OpenSSL) [ 199s] LWS_WITH_MBEDTLS = OFF (mbedTLS replacement for OpenSSL) [ 199s] LWS_WITHOUT_BUILTIN_SHA1 = OFF [ 199s] LWS_WITHOUT_BUILTIN_GETIFADDRS = OFF [ 199s] LWS_WITHOUT_CLIENT = OFF [ 199s] LWS_WITHOUT_SERVER = OFF [ 199s] LWS_LINK_TESTAPPS_DYNAMIC = OFF [ 199s] LWS_WITHOUT_TESTAPPS = OFF [ 199s] 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199s] LWS_WITH_ZIP_FOPS = OFF [ 199s] LWS_AVOID_SIGPIPE_IGN = OFF [ 199s] LWS_WITH_STATS = OFF [ 199s] LWS_WITH_SOCKS5 = OFF [ 199s] LWS_HAVE_SYS_CAPABILITY_H = [ 199s] LWS_HAVE_LIBCAP = [ 199s] LWS_WITH_PEER_LIMITS = OFF [ 199s] LWS_HAVE_ATOLL = 1 [ 199s] LWS_HAVE__ATOI64 = [ 199s] LWS_HAVE_STAT32I64 = [ 199s] LWS_HAS_INTPTR_T = 1 [ 199s] LWS_WITH_EXPORT_LWSTARGETS = ON [ 199s] LWS_WITH_ABSTRACT = [ 199s] --------------------------------------------------------------------- [ 199s] -- Configuring done [ 199s] -- Generating done [ 199s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release [ 199s] [1/70] Building C object CMakeFiles/websockets.dir/lib/core/vfs.c.o [ 199s] [2/70] Building C object CMakeFiles/websockets.dir/lib/core-net/stats.c.o [ 199s] [3/70] Building C object CMakeFiles/websockets.dir/lib/roles/pipe/ops-pipe.c.o [ 199s] [4/70] Building C object 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Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcTizen.cpp.o [ 274s] [1135/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerTizen.cpp.o [ 274s] [1136/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MockMediaPlayer.cpp.o [ 274s] [1137/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPCacheEntry.cpp.o [ 274s] [1138/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPCache.cpp.o [ 274s] [1139/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/process/base/Process.cpp.o [ 274s] [1140/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/ImageUtils.cpp.o [ 274s] [1141/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSBase.cpp.o [ 275s] [1142/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/xml/FormData.cpp.o [ 275s] [1143/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/PathCairo.cpp.o [ 275s] [1144/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/webrtc/VideoCapturer.cpp.o [ 275s] [1145/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/file/Directory.cpp.o [ 275s] [1146/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSTV.cpp.o [ 275s] [1147/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/CompositorCairo.cpp.o [ 275s] [1148/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/ComputedStyleCSSStyleDeclaration.cpp.o [ 275s] [1149/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/file/File.cpp.o [ 276s] [1150/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/CompressedNativeImageDataImpl.cpp.o [ 276s] [1151/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceURL.cpp.o [ 276s] [1152/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/NativeImageDataImpl.cpp.o [ 276s] [1153/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/HeaderResource.cpp.o [ 276s] [1154/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/AnimatedGIFNativeImageDataImpl.cpp.o [ 276s] [1155/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerEFL.cpp.o [ 276s] [1156/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerWindows.cpp.o [ 276s] [1157/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinEFL.cpp.o [ 276s] [1158/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinWindows.cpp.o [ 277s] [1159/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/public/DeviceInfo.cpp.o [ 277s] [1160/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/MessageLoopLibUV.cpp.o [ 277s] [1161/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebView.cpp.o [ 277s] [1162/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 277s] [1163/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPResponse.cpp.o [ 277s] [1164/1201] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 277s] [1165/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPUtil.cpp.o [ 277s] [1166/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerLibUV.cpp.o [ 277s] [1167/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/xml/XMLHttpRequest.cpp.o [ 277s] [1168/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPTransaction.cpp.o [ 277s] [1169/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPRequest.cpp.o [ 277s] [1170/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPHeaderMap.cpp.o [ 277s] [1171/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/CanvasCairo.cpp.o [ 277s] [1172/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinLibUV.cpp.o [ 278s] [1173/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 278s] [1174/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 278s] [1175/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 278s] [1176/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 278s] [1177/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 278s] [1178/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/FontResource.cpp.o [ 278s] [1179/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 278s] [1180/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplCairo.cpp.o [ 278s] [1181/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 278s] [1182/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 278s] [1183/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 278s] [1184/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/flutter/LWEWebViewFlutter.cpp.o [ 278s] [1185/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/Resource.cpp.o [ 279s] [1186/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 279s] [1187/1201] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 279s] [1188/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 279s] [1189/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ElementResourceClient.cpp.o [ 279s] [1190/1201] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 279s] [1191/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleDeclaration.cpp.o [ 279s] [1192/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 279s] [1193/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 279s] [1194/1201] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 279s] [1195/1201] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 279s] [1196/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 280s] [1197/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 282s] [1198/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 283s] [1199/1201] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 290s] [1200/1201] Linking CXX static library out_tizen/unified_tv/release/lib/libescargot.a [ 812s] [1201/1201] Linking CXX shared library out_tizen/unified_tv/release/lib/liblightweight-web-engine-dali-plugin.tv.so [ 812s] + rm -f CMakeCache.txt [ 812s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DUSE_EMBEDDED_IMAGE_DECODER=0 -DMODE=release -DHOST=tizen -DARCH=arm -DCUSTOM=unified_tv -DBACKEND=efl_cairo_gl -DLTO=1 -DTARGETNAME=lightweight-web-engine.tv -G Ninja [ 812s] -- The C compiler identification is GNU 9.2.0 [ 812s] -- The CXX compiler identification is GNU 9.2.0 [ 812s] -- Check for working C compiler: /bin/cc [ 812s] -- Check for working C compiler: /bin/cc -- works [ 812s] -- Detecting C compiler ABI info [ 812s] -- Detecting C compiler ABI info - done [ 812s] -- Detecting C compile features [ 812s] -- Detecting C compile features - done [ 812s] -- Check for working CXX compiler: /bin/c++ [ 813s] -- Check for working CXX compiler: /bin/c++ -- works [ 813s] -- Detecting CXX compiler ABI info [ 813s] -- Detecting CXX compiler ABI info - done [ 813s] -- Detecting CXX compile features [ 813s] -- Detecting CXX compile features - done [ 813s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 813s] -- Checking for modules 'libpng;freetype2;fontconfig;harfbuzz;elementary;ecore;ecore-imf' [ 813s] -- Found libpng, version 1.6.37 [ 813s] -- Found freetype2, version 23.4.17 [ 813s] -- Found fontconfig, version 2.13.1 [ 814s] -- Found harfbuzz, version 2.6.7 [ 814s] -- Found elementary, version 1.25.1 [ 814s] -- Found ecore, version 1.25.1 [ 814s] -- Found ecore-imf, version 1.25.1 [ 816s] -- Checking for module 'ecore-imf-evas' [ 816s] -- Found ecore-imf-evas, version 1.25.1 [ 817s] -- Checking for module 'libtbm' [ 817s] -- Found libtbm, version 3.0.0 [ 818s] -- Checking for module 'cairo' [ 818s] -- Found cairo, version 1.14.2 [ 819s] -- Checking for modules 'capi-network-connection;capi-media-player;capi-media-audio-io' [ 819s] -- Found capi-network-connection, version [ 819s] -- Found capi-media-player, version [ 819s] -- Found capi-media-audio-io, version [ 820s] -- Looking for cap_set_flag in cap [ 820s] -- Looking for cap_set_flag in cap - not found [ 820s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 820s] -- Escargot Build Version: v3.0.0 [ 820s] -- Checking for module 'dlog' [ 820s] -- Found dlog, version 1.0 [ 821s] -- Starfish [ 821s] -- FLAGS: -std=c++11-g3-Wall-Wextra-Werror-Wno-unused-parameter-Wno-unused-result-Wno-unused-variable-Wno-unused-function-Wno-maybe-uninitialized-Wno-deprecated-declarations-Wno-type-limits-fno-math-errno-fdata-sections-ffunction-sections-Wno-invalid-offsetof-fvisibility=hidden-fno-omit-frame-pointer-fstack-protector-fPIC-frounding-math-fsignaling-nans-Wno-unused-but-set-variable-Wno-unused-but-set-parameter-Wno-attributes-Wno-class-memaccess-Wno-deprecated-copy-Wno-cast-function-type-Wno-stringop-truncation-Wno-pessimizing-move-Wno-format-nonliteral-fno-rtti-O2-flto-O2-g2-pipe-Wall-Wp,-D_FORTIFY_SOURCE=2-fexceptions-fstack-protector-strong-Wformat-security-fmessage-length=0-frecord-gcc-switches-Wl,-z,relro,--as-needed--param=ssp-buffer-size=4-march=armv7-a-mtune=cortex-a8-mlittle-endian-mfpu=neon-mfloat-abi=softfp-mthumb-Wp,-D__SOFTFP__-Wl,-O1-Wl,--hash-style=gnu-Wa,-mimplicit-it=thumb-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_5 [ 821s] -- LIBRARIES: clipperescargotmp4parsewebmskia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/out_tizen/unified_tv/release/lib/libwebrtc.sopthreadcurlsslcryptojpeggifturbojpegrtdlcapi-location-manager-Wl,-soname,liblightweight-web-engine.so.1websocketspng16zfontconfigfreetypeharfbuzzelementaryecore_evasecore_fileecore_conedjeevasectorluameldbusethumb_clientethumbemotionefreeteioeetemileecoreeflecore_imfecore_inputeoeinapthreadmrtdlcairoecore_imf_evasefleoeinapthreadmrtdltbmcapi-base-commoncapi-network-connectioncapi-media-playercapi-media-tooltbmcapi-media-audio-iocapi-media-sound-managercapi-base-common [ 821s] -- DEFINITIONS: -DSTARFISH_TIZEN-DSTARFISH_TIZEN_OBS-DTIZEN_DEVICE_API-DSIZE_MAX=0xffffffff-DSTARFISH_ENABLE_ANIMATION-DSTARFISH_ENABLE_RUNTIME_ICU_BINDER-DSTARFISH_ENABLE_MULTI_THREAD_IMAGE_DECODING-DSTARFISH_TIZEN_TV-DSTARFISH_TIZEN_CAPI_LOCATION_MANAGER_ENABLED-DSTARFISH_TIZEN_USERAPP_SDK_API_ONLY-DSTARFISH_ENABLE_MULTIMEDIA-DSTARFISH_ENABLE_WEBAUDIO-DSTARFISH_ENABLE_WEBRTC-DSTARFISH_ENABLE_MULTIMEDIA-DSTARFISH_ENABLE_WEBAUDIO-DSTARFISH_ENABLE_WEBSOCKET-DSTARFISH_TIZEN_USERAPP_SDK_API_ONLY-DWEBRTC_POSIX-DWEBRTC_LINUX-DNDEBUG-DSTARFISH_EFL_CAIRO_GL [ 821s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 821s] -- INCLUDE_DIRS: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/inc/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/rapidjson/include/usr/include/elementary-1/usr/include/ecore-wl2-1/usr/include/wayland-extension/usr/include/ethumb-client-1/usr/include/ethumb-1/usr/include/edje-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-imf-evas-1/usr/include/embryo-1/usr/include/ecore-audio-1/usr/include/emotion-1/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/efreet-1/usr/include/eio-1/usr/include/efreet-1/usr/include/ecore-ipc-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/cairo/usr/include/pixman-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/libpng16/usr/include/ecore-imf-evas-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/MP4Parse/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webm/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webrtc/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webrtc/src/base/files/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webrtc/src/third_party/abseil-cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webrtc/src/third_party/jsoncpp/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webrtc/src/third_party/libyuv/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/openssl/out/tizen/arm/release/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/bdwgc/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/src/api/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/runtime_icu_binder/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsg/dist/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsgcpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/clipper/cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/earcut.hpp/include/mapbox/usr/include/network/usr/include/media/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/deviceapi/src//usr/include/dlog/usr/include/location/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/include/core/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/include [ 821s] -- Configuring done [ 821s] -- Generating done [ 821s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 821s] + ninja starfish.shared_library [ 822s] [1/918] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo LIBWEBSOCKETS\ TARGET [ 822s] LIBWEBSOCKETS TARGET [ 822s] [2/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 822s] [3/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 824s] [4/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ArrayBufferViewOrArrayBufferBinding.cpp.o [ 825s] [5/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 825s] [6/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 825s] [7/918] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/core/modules/profiling/LayoutFlowLoggerBuilder.cpp.o [ 954s] [727/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/threading/Thread.cpp.o [ 954s] [728/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/MediaElementAudioSourceNode.cpp.o [ 954s] [729/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/networking/SocketLWS.cpp.o [ 955s] [730/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCRtpTransceiver.cpp.o [ 955s] [731/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/MediaStreamTrack.cpp.o [ 955s] [732/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/threading/ThreadPool.cpp.o [ 955s] [733/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/MediaStream.cpp.o [ 955s] [734/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/AudioNode.cpp.o [ 955s] [735/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/AudioBuffer.cpp.o [ 955s] [736/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/AudioScheduledSourceNode.cpp.o [ 955s] [737/918] Generating third_party/webrtc/src/out/tizen/arm/release/libwebrtc.so [ 956s] BUILD WEBRTC [ 956s] WARNING at the command-line "--args":1:315: Build argument has no effect. [ 956s] target_cpu="arm" rtc_ssl_root="/usr/include/openssl" is_debug=false is_clang=false treat_warnings_as_errors=false use_custom_libcxx=false use_udev=false use_ozone=true use_cxx11=true enable_iterator_debugging=true enable_nacl=false use_glib=true use_rtti=false use_gold=false use_sysroot=false build_with_chromium=false rtc_build_ssl=false rtc_build_tools=false rtc_build_examples=false rtc_enable_protobuf=false rtc_build_json=true use_system_libjpeg=true use_system_freetype=true use_system_harfbuzz=true rtc_include_tests=false [ 956s] ^---- [ 956s] The variable "build_with_chromium" was set as a build argument [ 956s] but never appeared in a declare_args() block in any buildfile. [ 956s] [ 956s] To view all possible args, run "gn args --list " [ 956s] [ 956s] The build continued as if that argument was unspecified. [ 956s] [ 956s] Done. Made 598 targets from 153 files in 17036ms [ 956s] ninja: Entering directory `out/tizen/arm/release' [ 956s] [1/1909] STAMP obj/poison_audio_codecs.stamp [ 956s] [2/1909] STAMP obj/poison_software_video_codecs.stamp [ 956s] [3/1909] STAMP obj/api/video/video_codec_constants.stamp [ 956s] [4/1909] CXX obj/api/video/video_frame/hdr_metadata.o [ 956s] [5/1909] CC obj/modules/audio_coding/ilbc_c/augmented_cb_corr.o [ 956s] [6/1909] CC obj/modules/audio_coding/ilbc_c/abs_quant_loop.o [ 956s] [7/1909] CC obj/modules/audio_coding/ilbc_c/bw_expand.o [ 956s] [8/1909] CC obj/modules/audio_coding/ilbc_c/cb_mem_energy_augmentation.o [ 956s] [9/1909] CXX obj/api/video/video_frame/video_content_type.o [ 956s] [10/1909] CC obj/modules/audio_coding/ilbc_c/cb_construct.o [ 956s] [11/1909] CXX obj/api/transport/bitrate_settings/bitrate_settings.o [ 956s] [12/1909] CXX obj/modules/video_processing/video_processing/noise_estimation.o [ 956s] [13/1909] CXX obj/api/transport/field_trial_based_config/field_trial_based_config.o [ 956s] [14/1909] CXX obj/modules/audio_coding/audio_coding/call_statistics.o [ 956s] [15/1909] CXX obj/api/video/video_frame/color_space.o [ 956s] [16/1909] CXX obj/api/video/video_frame/video_frame_buffer.o [ 956s] [17/1909] CXX obj/api/video/builtin_video_bitrate_allocator_factory/builtin_video_bitrate_allocator_factory.o [ 956s] [18/1909] CXX obj/api/transport/media/audio_interfaces/audio_transport.o [ 956s] [19/1909] CC obj/base/third_party/libevent/libevent/log.o [ 956s] [20/1909] CC obj/base/third_party/libevent/libevent/poll.o [ 956s] [21/1909] CC obj/base/third_party/libevent/libevent/select.o [ 956s] [22/1909] CXX obj/api/units/data_rate/data_rate.o [ 956s] [23/1909] CXX obj/api/video/video_frame/video_source_interface.o [ 956s] [24/1909] CXX obj/api/video/video_frame/video_timing.o [ 956s] [25/1909] CXX obj/modules/audio_coding/neteq/audio_vector.o [ 956s] [26/1909] STAMP obj/api/call_api.stamp [ 956s] [27/1909] CC obj/base/third_party/libevent/libevent/epoll.o [ 956s] [28/1909] CXX obj/api/transport/media/video_interfaces/video_transport.o [ 956s] [29/1909] CXX obj/api/units/timestamp/timestamp.o [ 956s] [30/1909] CXX obj/modules/audio_coding/audio_network_adaptor/fec_controller_rplr_based.o [ 956s] [31/1909] CXX obj/api/units/time_delta/time_delta.o [ 956s] [32/1909] CXX obj/api/units/data_size/data_size.o [ 956s] [33/1909] CXX obj/api/video/video_frame/video_frame.o [ 956s] [34/1909] CXX obj/modules/audio_coding/neteq/audio_multi_vector.o [ 956s] [35/1909] CXX obj/modules/audio_coding/audio_coding/acm_resampler.o [ 956s] [36/1909] CXX obj/media/rtc_h264_profile_id/h264_profile_level_id.o [ 956s] [37/1909] CXX obj/api/video_codecs/video_codecs_api/video_decoder_factory.o [ 956s] [38/1909] CXX obj/modules/audio_coding/audio_network_adaptor/event_log_writer.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/audio_coding/audio_network_adaptor/event_log_writer.cc:20: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [39/1909] CXX obj/modules/audio_coding/audio_network_adaptor/fec_controller_plr_based.o [ 956s] [40/1909] CXX obj/modules/audio_coding/ilbc/audio_decoder_ilbc.o [ 956s] [41/1909] CXX obj/api/video/video_bitrate_allocation/video_bitrate_allocation.o [ 956s] [42/1909] CXX obj/api/video/video_frame_i010/i010_buffer.o [ 956s] [43/1909] CXX obj/api/video/video_stream_encoder/video_stream_encoder_observer.o [ 956s] [44/1909] CXX obj/modules/audio_coding/g711/audio_encoder_pcm.o [ 956s] [45/1909] CC obj/base/third_party/libevent/libevent/evbuffer.o [ 956s] [46/1909] CXX obj/api/video/encoded_frame/encoded_frame.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../api/video/encoded_frame.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../api/video/encoded_frame.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/encoded_image.h:17, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../api/video/encoded_frame.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../api/video/encoded_frame.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [47/1909] CXX obj/api/transport/network_control/network_types.o [ 956s] [48/1909] CXX obj/modules/audio_coding/legacy_encoded_audio_frame/legacy_encoded_audio_frame.o [ 956s] [49/1909] CXX obj/api/transport_api/transport.o [ 956s] [50/1909] CXX obj/modules/congestion_controller/goog_cc/estimators/trendline_estimator.o [ 956s] [51/1909] STAMP obj/api/transport_api.stamp [ 956s] [52/1909] CXX obj/api/video/encoded_image/encoded_image.o [ 956s] [53/1909] STAMP obj/api/video/video_frame_type.stamp [ 956s] [54/1909] CXX obj/api/video_codecs/video_codecs_api/vp8_frame_config.o [ 956s] [55/1909] CXX obj/logging/rtc_event_audio/rtc_event_audio_network_adaptation.o [ 956s] [56/1909] CC obj/base/third_party/libevent/libevent/event.o [ 956s] [57/1909] CXX obj/modules/audio_coding/audio_network_adaptor_config/audio_network_adaptor_config.o [ 956s] [58/1909] CXX obj/api/video_codecs/video_codecs_api/video_codec.o [ 956s] [59/1909] STAMP obj/api/libjingle_logging_api.stamp [ 956s] [60/1909] CXX obj/modules/audio_coding/audio_encoder_cng/audio_encoder_cng.o [ 956s] [61/1909] STAMP obj/api/callfactory_api.stamp [ 956s] [62/1909] CXX obj/api/transport/goog_cc/goog_cc_factory.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/goog_cc_network_control.h:28, [ 956s] from ../../../../api/transport/goog_cc_factory.cc:16: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [63/1909] CXX obj/api/video_codecs/video_codecs_api/video_decoder.o [ 956s] [64/1909] CXX obj/stats/rtc_stats/rtc_stats_report.o [ 956s] [65/1909] CXX obj/api/audio_options_api/audio_options.o [ 956s] [66/1909] CXX obj/api/rtc_event_log_output_file/rtc_event_log_output_file.o [ 956s] In file included from ../../../../api/rtc_event_log_output_file.cc:14: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [67/1909] CXX obj/api/video_codecs/video_codecs_api/video_encoder_config.o [ 956s] [68/1909] CC obj/base/third_party/libevent/libevent/evdns.o [ 956s] [69/1909] CXX obj/modules/congestion_controller/transport_feedback/transport_feedback_adapter.o [ 956s] [70/1909] CXX obj/api/libjingle_peerconnection_api/media_stream_interface.o [ 956s] [71/1909] CXX obj/api/audio_codecs/g711/audio_encoder_g711/audio_encoder_g711.o [ 956s] [72/1909] CXX obj/api/audio_codecs/L16/audio_decoder_L16/audio_decoder_L16.o [ 956s] [73/1909] CXX obj/api/audio/audio_frame_api/audio_frame.o [ 956s] [74/1909] STAMP obj/api/network_state_predictor_api.stamp [ 956s] [75/1909] CXX obj/api/audio/aec3_config/echo_canceller3_config.o [ 956s] [76/1909] CXX obj/api/libjingle_peerconnection_api/media_types.o [ 956s] [77/1909] CXX obj/api/libjingle_peerconnection_api/media_transport_config.o [ 956s] [78/1909] STAMP obj/api/scoped_refptr.stamp [ 956s] [79/1909] CXX obj/api/audio_codecs/g722/audio_encoder_g722/audio_encoder_g722.o [ 956s] [80/1909] CXX obj/api/video/video_frame_i420/i420_buffer.o [ 956s] [81/1909] STAMP obj/api/audio_codecs/opus/audio_decoder_opus_config.stamp [ 956s] [82/1909] CXX obj/modules/audio_processing/aec_dump/null_aec_dump_factory/null_aec_dump_factory.o [ 956s] [83/1909] CXX obj/api/libjingle_peerconnection_api/rtc_error.o [ 956s] [84/1909] CXX obj/modules/module_api/module_common_types.o [ 956s] [85/1909] CXX obj/api/audio_codecs/audio_codecs_api/audio_codec_pair_id.o [ 956s] [86/1909] CXX obj/api/rtp_headers/rtp_headers.o [ 956s] [87/1909] CXX obj/api/libjingle_peerconnection_api/proxy.o [ 956s] [88/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/fec_private_tables_bursty.o [ 956s] [89/1909] STAMP obj/api/transport/enums.stamp [ 956s] [90/1909] CXX obj/modules/video_coding/video_coding_utility/quality_scaler.o [ 956s] [91/1909] CXX obj/api/libjingle_peerconnection_api/media_transport_interface.o [ 956s] [92/1909] CXX obj/call/call_interfaces/audio_receive_stream.o [ 956s] [93/1909] STAMP obj/modules/audio_coding/isac_bwinfo.stamp [ 956s] [94/1909] CXX obj/api/audio/aec3_factory/echo_canceller3_factory.o [ 956s] [95/1909] CXX obj/api/audio_codecs/ilbc/audio_encoder_ilbc/audio_encoder_ilbc.o [ 956s] [96/1909] CXX obj/api/audio_codecs/audio_codecs_api/audio_decoder.o [ 956s] [97/1909] CXX obj/api/libjingle_peerconnection_api/sctp_transport_interface.o [ 956s] [98/1909] CXX obj/api/libjingle_peerconnection_api/jsep.o [ 956s] [99/1909] CXX obj/api/audio_codecs/audio_codecs_api/audio_format.o [ 956s] [100/1909] CXX obj/api/audio_codecs/audio_codecs_api/audio_encoder.o [ 956s] [101/1909] CC obj/base/third_party/libevent/libevent/event_tagging.o [ 956s] [102/1909] CXX obj/api/task_queue/default_task_queue_factory/default_task_queue_factory_libevent.o [ 956s] [103/1909] CXX obj/api/audio_codecs/opus/audio_encoder_opus_config/audio_encoder_opus_config.o [ 956s] ../../../../api/audio_codecs/opus/audio_encoder_opus_config.cc: In member function 'bool webrtc::AudioEncoderOpusConfig::IsOk() const': [ 956s] ../../../../api/audio_codecs/opus/audio_encoder_opus_config.cc:64:20: warning: comparison of unsigned expression < 0 is always false [-Wtype-limits] [ 956s] 64 | if (num_channels < 0 || num_channels >= 255) { [ 956s] | ~~~~~~~~~~~~~^~~ [ 956s] [104/1909] CC obj/base/third_party/libevent/libevent/buffer.o [ 956s] [105/1909] CXX obj/api/rtc_event_log/rtc_event_log/rtc_event_log.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [106/1909] CXX obj/api/task_queue/global_task_queue_factory/global_task_queue_factory.o [ 956s] [107/1909] CXX obj/api/libjingle_peerconnection_api/rtp_sender_interface.o [ 956s] [108/1909] CC obj/base/third_party/libevent/libevent/evutil.o [ 956s] [109/1909] CXX obj/api/libjingle_peerconnection_api/dtls_transport_interface.o [ 956s] [110/1909] STAMP obj/media/rtc_media_config.stamp [ 956s] [111/1909] CXX obj/api/task_queue/task_queue/task_queue_base.o [ 956s] [112/1909] CXX obj/api/rtc_event_log/rtc_event_log_factory/rtc_event_log_factory.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory.h:16, [ 956s] from ../../../../api/rtc_event_log/rtc_event_log_factory.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [113/1909] CXX obj/api/audio_codecs/opus/audio_encoder_opus_config/audio_encoder_multi_channel_opus_config.o [ 956s] ../../../../api/audio_codecs/opus/audio_encoder_multi_channel_opus_config.cc: In member function 'bool webrtc::AudioEncoderMultiChannelOpusConfig::IsOk() const': [ 956s] ../../../../api/audio_codecs/opus/audio_encoder_multi_channel_opus_config.cc:41:20: warning: comparison of unsigned expression < 0 is always false [-Wtype-limits] [ 956s] 41 | if (num_channels < 0 || num_channels >= 255) { [ 956s] | ~~~~~~~~~~~~~^~~ [ 956s] ../../../../api/audio_codecs/opus/audio_encoder_multi_channel_opus_config.cc:50:20: warning: comparison of unsigned expression < 0 is always false [-Wtype-limits] [ 956s] 50 | if (num_channels < 0 || num_streams < 0 || coupled_streams < 0) { [ 956s] | ~~~~~~~~~~~~~^~~ [ 956s] [114/1909] CXX obj/api/libjingle_peerconnection_api/rtp_receiver_interface.o [ 956s] [115/1909] STAMP obj/api/audio_codecs/ilbc/audio_encoder_ilbc_config.stamp [ 956s] [116/1909] CXX obj/modules/audio_coding/audio_coding/acm_receiver.o [ 956s] [117/1909] STAMP obj/api/audio_codecs/g722/audio_encoder_g722_config.stamp [ 956s] [118/1909] CC obj/base/third_party/libevent/libevent/evrpc.o [ 956s] [119/1909] CXX obj/call/rtp_receiver/rtp_rtcp_demuxer_helper.o [ 956s] [120/1909] STAMP obj/api/audio/echo_control.stamp [ 956s] [121/1909] STAMP obj/webrtc_common.stamp [ 956s] [122/1909] CXX obj/api/libjingle_peerconnection_api/jsep_ice_candidate.o [ 956s] In file included from ../../../../api/jsep_ice_candidate.cc:11: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../api/jsep_ice_candidate.h:21, [ 956s] from ../../../../api/jsep_ice_candidate.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] [123/1909] CXX obj/stats/rtc_stats/rtcstats_objects.o [ 956s] [124/1909] CXX obj/api/rtc_event_log/rtc_event_log/rtc_event.o [ 956s] [125/1909] CXX obj/api/libjingle_peerconnection_api/rtp_parameters.o [ 956s] [126/1909] CXX obj/api/video_codecs/video_codecs_api/video_encoder.o [ 956s] [127/1909] CXX obj/call/rtp_receiver/rtp_stream_receiver_controller.o [ 956s] [128/1909] CXX obj/modules/audio_device/audio_device_buffer/fine_audio_buffer.o [ 956s] [129/1909] CXX obj/api/libjingle_peerconnection_api/rtp_transceiver_interface.o [ 956s] [130/1909] CC obj/modules/audio_coding/isac_vad/pitch_filter.o [ 956s] [131/1909] ASM obj/modules/audio_coding/isac_fix_c_arm_asm/pitch_filter_armv6.o [ 956s] [132/1909] CXX obj/call/call_interfaces/call_config.o [ 956s] [133/1909] CC obj/base/third_party/libevent/libevent/http.o [ 956s] [134/1909] CXX obj/api/libjingle_peerconnection_api/data_channel_interface.o [ 956s] [135/1909] CXX obj/api/libjingle_peerconnection_api/crypto_options.o [ 956s] [136/1909] CXX obj/audio/audio/remix_resample.o [ 956s] [137/1909] CC obj/modules/audio_coding/isac_fix_c/arith_routines_logist.o [ 956s] [138/1909] CXX obj/modules/audio_coding/neteq/accelerate.o [ 956s] [139/1909] CXX obj/api/libjingle_peerconnection_api/candidate.o [ 956s] [140/1909] CXX obj/modules/audio_coding/audio_network_adaptor/channel_controller.o [ 956s] [141/1909] CXX obj/api/libjingle_peerconnection_api/stats_types.o [ 956s] [142/1909] CXX obj/audio/audio/audio_level.o [ 956s] [143/1909] CXX obj/api/audio_codecs/isac/audio_encoder_isac_fix/audio_encoder_isac_fix.o [ 956s] [144/1909] CXX obj/modules/audio_coding/audio_network_adaptor/dtx_controller.o [ 956s] [145/1909] CXX obj/audio/audio/audio_send_stream.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../audio/audio_send_stream.cc:29: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../audio/audio_send_stream.h:19, [ 956s] from ../../../../audio/audio_send_stream.cc:11: [ 956s] ../../../../call/audio_send_stream.h: In member function 'webrtc::AudioSendStream::Config& webrtc::AudioSendStream::Config::operator=(const webrtc::AudioSendStream::Config&)': [ 956s] ../../../../call/audio_send_stream.h:77:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 77 | struct Config { [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../audio/channel_send.h:20, [ 956s] from ../../../../audio/audio_send_stream.h:17, [ 956s] from ../../../../audio/audio_send_stream.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../audio/audio_send_stream.cc: In static member function 'static void webrtc::internal::AudioSendStream::ConfigureStream(webrtc::internal::AudioSendStream*, const webrtc::AudioSendStream::Config&, bool)': [ 956s] ../../../../audio/audio_send_stream.cc:321:21: note: synthesized method 'webrtc::AudioSendStream::Config& webrtc::AudioSendStream::Config::operator=(const webrtc::AudioSendStream::Config&)' first required here [ 956s] 321 | stream->config_ = new_config; [ 956s] | ^~~~~~~~~~ [ 956s] ../../../../audio/audio_send_stream.cc: In member function 'virtual webrtc::AudioSendStream::Stats webrtc::internal::AudioSendStream::GetStats(bool) const': [ 956s] ../../../../audio/audio_send_stream.cc:432:58: warning: implicitly-declared 'webrtc::ANAStats& webrtc::ANAStats::operator=(const webrtc::ANAStats&)' is deprecated [-Wdeprecated-copy] [ 956s] 432 | stats.ana_statistics = channel_send_->GetANAStatistics(); [ 956s] | ^ [ 956s] In file included from ../../../../audio/channel_send.h:19, [ 956s] from ../../../../audio/audio_send_stream.h:17, [ 956s] from ../../../../audio/audio_send_stream.cc:11: [ 956s] ../../../../api/audio_codecs/audio_encoder.h:31:3: note: because 'webrtc::ANAStats' has user-provided 'webrtc::ANAStats::ANAStats(const webrtc::ANAStats&)' [ 956s] 31 | ANAStats(const ANAStats&); [ 956s] | ^~~~~~~~ [ 956s] ../../../../audio/audio_send_stream.cc:435:72: warning: implicitly-declared 'webrtc::AudioProcessingStats& webrtc::AudioProcessingStats::operator=(const webrtc::AudioProcessingStats&)' is deprecated [-Wdeprecated-copy] [ 956s] 435 | audio_state_->audio_processing()->GetStatistics(has_remote_tracks); [ 956s] | ^ [ 956s] In file included from ../../../../call/audio_send_stream.h:31, [ 956s] from ../../../../audio/audio_send_stream.h:19, [ 956s] from ../../../../audio/audio_send_stream.cc:11: [ 956s] ../../../../modules/audio_processing/include/audio_processing_statistics.h:24:3: note: because 'webrtc::AudioProcessingStats' has user-provided 'webrtc::AudioProcessingStats::AudioProcessingStats(const webrtc::AudioProcessingStats&)' [ 956s] 24 | AudioProcessingStats(const AudioProcessingStats& other); [ 956s] | ^~~~~~~~~~~~~~~~~~~~ [ 956s] [146/1909] CXX obj/api/audio_codecs/ilbc/audio_decoder_ilbc/audio_decoder_ilbc.o [ 956s] [147/1909] CXX obj/modules/audio_coding/audio_network_adaptor/debug_dump_writer.o [ 956s] [148/1909] CXX obj/modules/audio_processing/aecm/aecm_core/aecm_core.o [ 956s] [149/1909] CXX obj/api/audio_codecs/isac/audio_decoder_isac_fix/audio_decoder_isac_fix.o [ 956s] [150/1909] CXX obj/api/audio_codecs/g711/audio_decoder_g711/audio_decoder_g711.o [ 956s] [151/1909] CC obj/modules/audio_coding/isac_vad/filter_functions.o [ 956s] [152/1909] CXX obj/modules/audio_device/audio_device_buffer/audio_device_buffer.o [ 956s] [153/1909] CXX obj/modules/audio_coding/neteq/cross_correlation.o [ 956s] [154/1909] CXX obj/audio/audio/null_audio_poller.o [ 956s] [155/1909] CXX obj/api/audio_codecs/g722/audio_decoder_g722/audio_decoder_g722.o [ 956s] [156/1909] CXX obj/media/rtc_encoder_simulcast_proxy/encoder_simulcast_proxy.o [ 956s] [157/1909] CXX obj/audio/utility/audio_frame_operations/audio_frame_operations.o [ 956s] [158/1909] CXX obj/api/audio_codecs/L16/audio_encoder_L16/audio_encoder_L16.o [ 956s] [159/1909] CC obj/modules/audio_coding/isac_neon/entropy_coding_neon.o [ 956s] [160/1909] CXX obj/api/video_codecs/rtc_software_fallback_wrappers/video_decoder_software_fallback_wrapper.o [ 956s] ../../../../api/video_codecs/video_decoder_software_fallback_wrapper.cc: In member function 'virtual int32_t webrtc::{anonymous}::VideoDecoderSoftwareFallbackWrapper::Decode(const webrtc::EncodedImage&, bool, int64_t)': [ 956s] ../../../../api/video_codecs/video_decoder_software_fallback_wrapper.cc:168:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 956s] 168 | RTC_FALLTHROUGH(); [ 956s] | ^ [ 956s] ../../../../api/video_codecs/video_decoder_software_fallback_wrapper.cc:170:5: note: here [ 956s] 170 | case DecoderType::kFallback: [ 956s] | ^~~~ [ 956s] [161/1909] CC obj/base/third_party/libevent/libevent/strlcpy.o [ 956s] [162/1909] CXX obj/audio/audio/channel_receive.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../audio/channel_receive.cc:25: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [163/1909] CXX obj/logging/rtc_event_pacing/rtc_event_alr_state.o [ 956s] [164/1909] CC obj/base/third_party/libevent/libevent/signal.o [ 956s] [165/1909] AR obj/base/third_party/libevent/libevent.a [ 956s] [166/1909] CXX obj/api/video_codecs/video_codecs_api/vp8_temporal_layers.o [ 956s] [167/1909] CXX obj/api/create_peerconnection_factory/create_peerconnection_factory.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../api/create_peerconnection_factory.h:20, [ 956s] from ../../../../api/create_peerconnection_factory.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [168/1909] CXX obj/call/call_interfaces/syncable.o [ 956s] [169/1909] CXX obj/api/video_codecs/video_codecs_api/sdp_video_format.o [ 956s] [170/1909] CXX obj/audio/audio/channel_send.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../audio/channel_send.cc:25: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [171/1909] CXX obj/call/call/call_factory.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../call/call_factory.h:15, [ 956s] from ../../../../call/call_factory.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [172/1909] CXX obj/media/rtc_vp9_profile/vp9_profile.o [ 956s] [173/1909] CXX obj/api/video_codecs/vp8_temporal_layers_factory/vp8_temporal_layers_factory.o [ 956s] [174/1909] CXX obj/common_audio/common_audio/sparse_fir_filter.o [ 956s] [175/1909] CXX obj/common_audio/common_audio/vad.o [ 956s] [176/1909] ASM obj/common_audio/common_audio_c_arm_asm/filter_ar_fast_q12_armv7.o [ 956s] [177/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/remote_bitrate_estimator_single_stream.o [ 956s] [178/1909] CC obj/common_audio/common_audio_c/randomization_functions.o [ 956s] [179/1909] CXX obj/call/call_interfaces/audio_state.o [ 956s] [180/1909] CC obj/common_audio/common_audio_c/min_max_operations.o [ 956s] [181/1909] CC obj/common_audio/common_audio_c/refl_coef_to_lpc.o [ 956s] [182/1909] CXX obj/audio/audio/transport_feedback_packet_loss_tracker.o [ 956s] [183/1909] CXX obj/common_audio/common_audio/real_fourier_ooura.o [ 956s] [184/1909] CXX obj/logging/rtc_event_video/rtc_event_video_send_stream_config.o [ 956s] [185/1909] CXX obj/modules/congestion_controller/goog_cc/estimators/median_slope_estimator.o [ 956s] [186/1909] CC obj/common_audio/common_audio_c/real_fft.o [ 956s] [187/1909] CC obj/common_audio/common_audio_c/spl_inl.o [ 956s] [188/1909] CC obj/common_audio/common_audio_c/resample.o [ 956s] [189/1909] CC obj/common_audio/common_audio_c/resample_48khz.o [ 956s] [190/1909] CC obj/common_audio/common_audio_c/sqrt_of_one_minus_x_squared.o [ 956s] [191/1909] CC obj/common_audio/common_audio_c/resample_by_2.o [ 956s] [192/1909] CC obj/common_audio/common_audio_c/spl_init.o [ 956s] [193/1909] CXX obj/common_audio/common_audio/push_sinc_resampler.o [ 956s] [194/1909] CC obj/common_audio/common_audio_c/resample_fractional.o [ 956s] [195/1909] CC obj/common_audio/common_audio_c/filter_ma_fast_q12.o [ 956s] [196/1909] CC obj/common_audio/common_audio_c/get_hanning_window.o [ 956s] [197/1909] CC obj/common_audio/common_audio_c/get_scaling_square.o [ 956s] [198/1909] CXX obj/api/video_codecs/rtc_software_fallback_wrappers/video_encoder_software_fallback_wrapper.o [ 956s] ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc: In member function 'virtual webrtc::VideoEncoder::EncoderInfo webrtc::{anonymous}::VideoEncoderSoftwareFallbackWrapper::GetEncoderInfo() const': [ 956s] ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc:287:46: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 287 | : VideoEncoder::ScalingSettings::kOff; [ 956s] | ^~~~ [ 956s] In file included from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.h:16, [ 956s] from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc:289:50: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 289 | info.scaling_settings = default_encoder_info.scaling_settings; [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.h:16, [ 956s] from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] [199/1909] CC obj/common_audio/common_audio_c/ilbc_specific_functions.o [ 956s] [200/1909] CC obj/common_audio/common_audio_c/auto_correlation.o [ 956s] [201/1909] CXX obj/api/video/video_stream_encoder_create/video_stream_encoder_create.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:30, [ 956s] from ../../../../api/video/video_stream_encoder_create.cc:15: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:30, [ 956s] from ../../../../api/video/video_stream_encoder_create.cc:15: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/video_frame.h:16, [ 956s] from ../../../../api/video/video_stream_encoder_create.h:18, [ 956s] from ../../../../api/video/video_stream_encoder_create.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:30, [ 956s] from ../../../../api/video/video_stream_encoder_create.cc:15: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [202/1909] CC obj/common_audio/common_audio_c/copy_set_operations.o [ 956s] [203/1909] CXX obj/common_audio/fir_filter_factory/fir_filter_factory.o [ 956s] [204/1909] CC obj/common_audio/common_audio_c/levinson_durbin.o [ 956s] [205/1909] CC obj/common_audio/common_audio_c/ring_buffer.o [ 956s] [206/1909] CC obj/common_audio/common_audio_c/cross_correlation.o [ 956s] [207/1909] CC obj/common_audio/common_audio_c/resample_by_2_internal.o [ 956s] [208/1909] CXX obj/call/call_interfaces/flexfec_receive_stream.o [ 956s] [209/1909] CC obj/common_audio/common_audio_c/division_operations.o [ 956s] [210/1909] CC obj/common_audio/common_audio_c/lpc_to_refl_coef.o [ 956s] [211/1909] CXX obj/call/bitrate_configurator/rtp_bitrate_configurator.o [ 956s] ../../../../call/rtp_bitrate_configurator.cc: In member function 'absl::optional webrtc::RtpBitrateConfigurator::UpdateWithClientPreferences(const webrtc::BitrateSettings&)': [ 956s] ../../../../call/rtp_bitrate_configurator.cc:62:26: warning: implicitly-declared 'webrtc::BitrateSettings& webrtc::BitrateSettings::operator=(const webrtc::BitrateSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 62 | bitrate_config_mask_ = bitrate_mask; [ 956s] | ^~~~~~~~~~~~ [ 956s] In file included from ../../../../call/rtp_bitrate_configurator.h:16, [ 956s] from ../../../../call/rtp_bitrate_configurator.cc:11: [ 956s] ../../../../api/transport/bitrate_settings.h:27:3: note: because 'webrtc::BitrateSettings' has user-provided 'webrtc::BitrateSettings::BitrateSettings(const webrtc::BitrateSettings&)' [ 956s] 27 | BitrateSettings(const BitrateSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] [212/1909] CXX obj/common_audio/common_audio_cc/dot_product_with_scale.o [ 956s] [213/1909] CC obj/modules/audio_processing/agc/agc_legacy_c/digital_agc.o [ 956s] [214/1909] CC obj/common_audio/common_audio_c/vector_scaling_operations.o [ 956s] [215/1909] CC obj/modules/audio_coding/ilbc_c/comp_corr.o [ 956s] [216/1909] CC obj/modules/audio_coding/ilbc_c/constants.o [ 956s] [217/1909] CXX obj/modules/audio_coding/neteq/decision_logic.o [ 956s] [218/1909] CC obj/modules/audio_coding/ilbc_c/chebyshev.o [ 956s] [219/1909] CXX obj/audio/audio/audio_receive_stream.o [ 956s] In file included from ../../../../audio/audio_receive_stream.h:20, [ 956s] from ../../../../audio/audio_receive_stream.cc:11: [ 956s] ../../../../call/audio_receive_stream.h: In member function 'webrtc::AudioReceiveStream::Config& webrtc::AudioReceiveStream::Config::operator=(const webrtc::AudioReceiveStream::Config&)': [ 956s] ../../../../call/audio_receive_stream.h:91:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 91 | struct Config { [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:22, [ 956s] from ../../../../audio/audio_receive_stream.h:20, [ 956s] from ../../../../audio/audio_receive_stream.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../audio/audio_receive_stream.cc: In static member function 'static void webrtc::internal::AudioReceiveStream::ConfigureStream(webrtc::internal::AudioReceiveStream*, const webrtc::AudioReceiveStream::Config&, bool)': [ 956s] ../../../../audio/audio_receive_stream.cc:397:21: note: synthesized method 'webrtc::AudioReceiveStream::Config& webrtc::AudioReceiveStream::Config::operator=(const webrtc::AudioReceiveStream::Config&)' first required here [ 956s] 397 | stream->config_ = new_config; [ 956s] | ^~~~~~~~~~ [ 956s] [220/1909] CXX obj/common_audio/common_audio_neon/sinc_resampler_neon.o [ 956s] [221/1909] CXX obj/common_audio/fir_filter_factory/fir_filter_c.o [ 956s] [222/1909] CC obj/modules/audio_coding/ilbc_c/create_augmented_vec.o [ 956s] [223/1909] CC obj/modules/audio_coding/ilbc_c/decoder_interpolate_lsf.o [ 956s] [224/1909] CXX obj/api/libjingle_peerconnection_api/peer_connection_interface.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../api/peer_connection_interface.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [225/1909] CC obj/modules/audio_coding/ilbc_c/decode_residual.o [ 956s] [226/1909] CC obj/modules/audio_coding/ilbc_c/decode.o [ 956s] [227/1909] CC obj/common_audio/common_audio_c/downsample_fast.o [ 956s] [228/1909] CC obj/common_audio/common_audio_c/energy.o [ 956s] [229/1909] CXX obj/call/simulated_network/simulated_network.o [ 956s] ../../../../call/simulated_network.cc: In member function 'bool webrtc::CoDelSimulation::DropDequeuedPacket(webrtc::Timestamp, webrtc::Timestamp, webrtc::DataSize, webrtc::DataSize)': [ 956s] ../../../../call/simulated_network.cc:80:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 80 | } [ 956s] | ^ [ 956s] [230/1909] CC obj/common_audio/common_audio_c/spl_sqrt.o [ 956s] [231/1909] CXX obj/media/rtc_media_base/adapted_video_track_source.o [ 956s] [232/1909] CC obj/common_audio/common_audio_c/filter_ar.o [ 956s] [233/1909] CC obj/common_audio/common_audio_c/auto_corr_to_refl_coef.o [ 956s] [234/1909] CXX obj/call/call/receive_time_calculator.o [ 956s] [235/1909] CC obj/modules/audio_coding/ilbc_c/do_plc.o [ 956s] [236/1909] CXX obj/call/rtp_receiver/rtcp_demuxer.o [ 956s] [237/1909] CC obj/common_audio/common_audio_c/vad_gmm.o [ 956s] [238/1909] CC obj/common_audio/common_audio_c/vad_sp.o [ 956s] [239/1909] CC obj/common_audio/common_audio_c/webrtc_vad.o [ 956s] [240/1909] CC obj/common_audio/common_audio_c/splitting_filter.o [ 956s] [241/1909] CC obj/common_audio/common_audio_c/vad_filterbank.o [ 956s] [242/1909] CXX obj/audio/audio/audio_transport_impl.o [ 956s] [243/1909] CC obj/common_audio/common_audio_c/complex_fft.o [ 956s] [244/1909] CXX obj/common_audio/common_audio/push_resampler.o [ 956s] [245/1909] STAMP obj/common_audio/fir_filter.stamp [ 956s] [246/1909] CXX obj/common_audio/common_audio/audio_util.o [ 956s] [247/1909] ASM obj/common_audio/third_party/spl_sqrt_floor/spl_sqrt_floor/spl_sqrt_floor_arm.o [ 956s] [248/1909] ASM obj/common_audio/common_audio_c_arm_asm/complex_bit_reverse_arm.o [ 956s] [249/1909] CC obj/common_audio/common_audio_c/vad_core.o [ 956s] [250/1909] CXX obj/common_audio/common_audio_neon/fir_filter_neon.o [ 956s] [251/1909] CC obj/common_audio/common_audio_neon_c/cross_correlation_neon.o [ 956s] [252/1909] CC obj/common_audio/common_audio_neon_c/downsample_fast_neon.o [ 956s] [253/1909] CXX obj/call/call_interfaces/audio_send_stream.o [ 956s] [254/1909] CXX obj/common_audio/common_audio/window_generator.o [ 956s] [255/1909] CC obj/common_audio/common_audio_neon_c/min_max_operations_neon.o [ 956s] [256/1909] CXX obj/call/bitrate_allocator/bitrate_allocator.o [ 956s] [257/1909] CXX obj/audio/audio/audio_state.o [ 956s] [258/1909] CXX obj/common_audio/common_audio/smoothing_filter.o [ 956s] [259/1909] CXX obj/call/rtp_receiver/rtx_receive_stream.o [ 956s] [260/1909] CXX obj/common_audio/common_audio/wav_header.o [ 956s] [261/1909] CXX obj/modules/audio_mixer/audio_frame_manipulator/audio_frame_manipulator.o [ 956s] [262/1909] CXX obj/common_audio/common_audio/sinc_resampler.o [ 956s] [263/1909] CC obj/common_audio/third_party/fft4g/fft4g/fft4g.o [ 956s] [264/1909] CXX obj/call/call/flexfec_receive_stream_impl.o [ 956s] [265/1909] STAMP obj/common_audio/third_party/fft4g/fft4g.stamp [ 956s] [266/1909] CXX obj/call/rtp_sender/rtp_payload_params.o [ 956s] [267/1909] CXX obj/call/rtp_interfaces/rtp_config.o [ 956s] [268/1909] CXX obj/common_audio/common_audio/wav_file.o [ 956s] [269/1909] CXX obj/common_audio/common_audio/real_fourier.o [ 956s] [270/1909] CXX obj/common_audio/common_audio/resampler.o [ 956s] [271/1909] CXX obj/logging/ice_log/rtc_event_ice_candidate_pair_config.o [ 956s] [272/1909] CXX obj/common_audio/common_audio/channel_buffer.o [ 956s] [273/1909] CXX obj/common_video/common_video/pps_parser.o [ 956s] [274/1909] CXX obj/logging/rtc_event_bwe/rtc_event_probe_result_failure.o [ 956s] [275/1909] CXX obj/logging/rtc_event_bwe/rtc_event_probe_cluster_created.o [ 956s] [276/1909] CXX obj/common_audio/common_audio/audio_converter.o [ 956s] [277/1909] CXX obj/common_video/common_video/sps_parser.o [ 956s] [278/1909] STAMP obj/modules/audio_processing/agc/gain_map.stamp [ 956s] [279/1909] CXX obj/logging/rtc_event_bwe/rtc_event_bwe_update_loss_based.o [ 956s] [280/1909] CXX obj/common_video/common_video/h264_common.o [ 956s] [281/1909] CXX obj/common_video/common_video/i420_buffer_pool.o [ 956s] [282/1909] CXX obj/call/call/degraded_call.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../call/degraded_call.h:27, [ 956s] from ../../../../call/degraded_call.cc:14: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [283/1909] CXX obj/logging/ice_log/rtc_event_dtls_writable_state.o [ 956s] [284/1909] CXX obj/common_video/common_video/bitrate_adjuster.o [ 956s] [285/1909] CXX obj/logging/rtc_event_audio/rtc_event_audio_playout.o [ 956s] [286/1909] CXX obj/media/rtc_constants/constants.o [ 956s] [287/1909] CXX obj/common_video/common_video/video_render_frames.o [ 956s] [288/1909] CXX obj/common_video/common_video/video_frame_buffer.o [ 956s] [289/1909] CXX obj/common_video/common_video/incoming_video_stream.o [ 956s] [290/1909] CXX obj/logging/rtc_event_bwe/rtc_event_bwe_update_delay_based.o [ 956s] [291/1909] CXX obj/modules/audio_device/audio_device_impl/audio_mixer_manager_pulse_linux.o [ 956s] [292/1909] CXX obj/logging/ice_log/rtc_event_ice_candidate_pair.o [ 956s] [293/1909] CXX obj/call/rtp_receiver/rtp_demuxer.o [ 956s] [294/1909] CXX obj/modules/video_coding/video_coding_utility/decoded_frames_history.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:19, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:19, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:18, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:19, [ 956s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [295/1909] CXX obj/common_video/common_video/h264_bitstream_parser.o [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../common_video/h264/h264_bitstream_parser.h:16, [ 956s] from ../../../../common_video/h264/h264_bitstream_parser.cc:10: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = webrtc::SpsParser::SpsState; T = webrtc::SpsParser::SpsState]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:234:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(absl::optional_internal::optional_data&&) [with T = webrtc::SpsParser::SpsState]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::SpsParser::SpsState& webrtc::SpsParser::SpsState::operator=(const webrtc::SpsParser::SpsState&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../common_video/h264/h264_bitstream_parser.h:19, [ 956s] from ../../../../common_video/h264/h264_bitstream_parser.cc:10: [ 956s] ../../../../common_video/h264/sps_parser.h:29:5: note: because 'webrtc::SpsParser::SpsState' has user-provided 'webrtc::SpsParser::SpsState::SpsState(const webrtc::SpsParser::SpsState&)' [ 956s] 29 | SpsState(const SpsState&); [ 956s] | ^~~~~~~~ [ 956s] [296/1909] AR obj/media/librtc_constants.a [ 956s] [297/1909] CXX obj/call/video_stream_api/video_send_stream.o [ 956s] In file included from ../../../../call/video_send_stream.cc:11: [ 956s] ../../../../call/video_send_stream.h: In member function 'webrtc::VideoSendStream::Config& webrtc::VideoSendStream::Config::operator=(webrtc::VideoSendStream::Config&&)': [ 956s] ../../../../call/video_send_stream.h:112:10: warning: implicitly-declared 'webrtc::RtpConfig& webrtc::RtpConfig::operator=(const webrtc::RtpConfig&)' is deprecated [-Wdeprecated-copy] [ 956s] 112 | struct Config { [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../call/video_send_stream.h:30, [ 956s] from ../../../../call/video_send_stream.cc:11: [ 956s] ../../../../call/rtp_config.h:71:3: note: because 'webrtc::RtpConfig' has user-provided 'webrtc::RtpConfig::RtpConfig(const webrtc::RtpConfig&)' [ 956s] 71 | RtpConfig(const RtpConfig&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../call/rtp_config.h: In member function 'webrtc::RtpConfig& webrtc::RtpConfig::operator=(const webrtc::RtpConfig&)': [ 956s] ../../../../call/rtp_config.h:69:8: warning: implicitly-declared 'webrtc::RtpConfig::Flexfec& webrtc::RtpConfig::Flexfec::operator=(const webrtc::RtpConfig::Flexfec&)' is deprecated [-Wdeprecated-copy] [ 956s] 69 | struct RtpConfig { [ 956s] | ^~~~~~~~~ [ 956s] ../../../../call/rtp_config.h:126:5: note: because 'webrtc::RtpConfig::Flexfec' has user-provided 'webrtc::RtpConfig::Flexfec::Flexfec(const webrtc::RtpConfig::Flexfec&)' [ 956s] 126 | Flexfec(const Flexfec&); [ 956s] | ^~~~~~~ [ 956s] ../../../../call/rtp_config.h:69:8: warning: implicitly-declared 'webrtc::RtpConfig::Rtx& webrtc::RtpConfig::Rtx::operator=(const webrtc::RtpConfig::Rtx&)' is deprecated [-Wdeprecated-copy] [ 956s] 69 | struct RtpConfig { [ 956s] | ^~~~~~~~~ [ 956s] ../../../../call/rtp_config.h:147:5: note: because 'webrtc::RtpConfig::Rtx' has user-provided 'webrtc::RtpConfig::Rtx::Rtx(const webrtc::RtpConfig::Rtx&)' [ 956s] 147 | Rtx(const Rtx&); [ 956s] | ^~~ [ 956s] In file included from ../../../../call/video_send_stream.cc:11: [ 956s] ../../../../call/video_send_stream.h: In member function 'webrtc::VideoSendStream::Config& webrtc::VideoSendStream::Config::operator=(webrtc::VideoSendStream::Config&&)': [ 956s] ../../../../call/video_send_stream.h:112:10: note: synthesized method 'webrtc::RtpConfig& webrtc::RtpConfig::operator=(const webrtc::RtpConfig&)' first required here [ 956s] 112 | struct Config { [ 956s] | ^~~~~~ [ 956s] ../../../../call/video_send_stream.h:112:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] In file included from ../../../../call/video_send_stream.h:21, [ 956s] from ../../../../call/video_send_stream.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../call/video_send_stream.cc: At global scope: [ 956s] ../../../../call/video_send_stream.cc:84:73: note: synthesized method 'webrtc::VideoSendStream::Config& webrtc::VideoSendStream::Config::operator=(webrtc::VideoSendStream::Config&&)' first required here [ 956s] 84 | VideoSendStream::Config& VideoSendStream::Config::operator=(Config&&) = default; [ 956s] | ^~~~~~~ [ 956s] [298/1909] CXX obj/modules/audio_processing/agc2/adaptive_digital/saturation_protector.o [ 956s] [299/1909] CXX obj/logging/rtc_event_bwe/rtc_event_route_change.o [ 956s] [300/1909] CXX obj/modules/audio_mixer/audio_mixer_impl/audio_mixer_impl.o [ 956s] [301/1909] CXX obj/common_video/common_video/webrtc_libyuv.o [ 956s] [302/1909] CXX obj/media/rtc_media_base/media_constants.o [ 956s] [303/1909] CXX obj/logging/rtc_event_bwe/rtc_event_probe_result_success.o [ 956s] [304/1909] CXX obj/logging/rtc_event_log_impl_encoder/var_int.o [ 956s] [305/1909] CXX obj/modules/audio_processing/agc2/adaptive_digital/adaptive_mode_level_estimator.o [ 956s] [306/1909] CXX obj/logging/rtc_event_audio/rtc_event_audio_send_stream_config.o [ 956s] [307/1909] CXX obj/logging/rtc_event_audio/rtc_event_audio_receive_stream_config.o [ 956s] [308/1909] CXX obj/logging/ice_log/rtc_event_dtls_transport_state.o [ 956s] [309/1909] CXX obj/logging/rtc_event_log_impl_encoder/blob_encoding.o [ 956s] [310/1909] CXX obj/logging/rtc_event_log_impl_encoder/rtc_event_log_encoder_common.o [ 956s] [311/1909] CXX obj/logging/rtc_event_log_impl_base/rtc_event_log_factory.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory.h:16, [ 956s] from ../../../../logging/rtc_event_log/rtc_event_log_factory.h:16, [ 956s] from ../../../../logging/rtc_event_log/rtc_event_log_factory.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [312/1909] CXX obj/logging/ice_log/ice_logger.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../logging/rtc_event_log/ice_logger.cc:14: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../logging/rtc_event_log/ice_logger.cc: In member function 'void webrtc::IceEventLog::LogCandidatePairConfig(webrtc::IceCandidatePairConfigType, uint32_t, const webrtc::IceCandidatePairDescription&)': [ 956s] ../../../../logging/rtc_event_log/ice_logger.cc:28:51: warning: implicitly-declared 'webrtc::IceCandidatePairDescription& webrtc::IceCandidatePairDescription::operator=(const webrtc::IceCandidatePairDescription&)' is deprecated [-Wdeprecated-copy] [ 956s] 28 | candidate_pair_desc_by_id_[candidate_pair_id] = candidate_pair_desc; [ 956s] | ^~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../logging/rtc_event_log/ice_logger.h:17, [ 956s] from ../../../../logging/rtc_event_log/ice_logger.cc:11: [ 956s] ../../../../logging/rtc_event_log/events/rtc_event_ice_candidate_pair_config.h:69:12: note: because 'webrtc::IceCandidatePairDescription' has user-provided 'webrtc::IceCandidatePairDescription::IceCandidatePairDescription(const webrtc::IceCandidatePairDescription&)' [ 956s] 69 | explicit IceCandidatePairDescription( [ 956s] | ^~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 956s] [313/1909] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtcp_packet_outgoing.o [ 956s] [314/1909] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtcp_packet_incoming.o [ 956s] [315/1909] CXX obj/media/rtc_audio_video/adm_helpers.o [ 956s] [316/1909] CXX obj/media/rtc_audio_video/unhandled_packets_buffer.o [ 956s] [317/1909] CXX obj/common_video/generic_frame_descriptor/generic_frame_descriptor/generic_frame_info.o [ 956s] [318/1909] STAMP obj/modules/module_fec_api.stamp [ 956s] [319/1909] STAMP obj/api/fec_controller_api.stamp [ 956s] [320/1909] CXX obj/call/video_stream_api/video_receive_stream.o [ 956s] In file included from ../../../../call/video_receive_stream.cc:11: [ 956s] ../../../../call/video_receive_stream.h: In member function 'webrtc::VideoReceiveStream::Config& webrtc::VideoReceiveStream::Config::operator=(webrtc::VideoReceiveStream::Config&&)': [ 956s] ../../../../call/video_receive_stream.h:120:10: warning: implicitly-declared 'webrtc::VideoReceiveStream::Config::Rtp& webrtc::VideoReceiveStream::Config::Rtp::operator=(const webrtc::VideoReceiveStream::Config::Rtp&)' is deprecated [-Wdeprecated-copy] [ 956s] 120 | struct Config { [ 956s] | ^~~~~~ [ 956s] ../../../../call/video_receive_stream.h:151:7: note: because 'webrtc::VideoReceiveStream::Config::Rtp' has user-provided 'webrtc::VideoReceiveStream::Config::Rtp::Rtp(const webrtc::VideoReceiveStream::Config::Rtp&)' [ 956s] 151 | Rtp(const Rtp&); [ 956s] | ^~~ [ 956s] ../../../../call/video_receive_stream.h:120:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 120 | struct Config { [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../call/video_receive_stream.h:21, [ 956s] from ../../../../call/video_receive_stream.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../call/video_receive_stream.cc: At global scope: [ 956s] ../../../../call/video_receive_stream.cc:79:5: note: synthesized method 'webrtc::VideoReceiveStream::Config& webrtc::VideoReceiveStream::Config::operator=(webrtc::VideoReceiveStream::Config&&)' first required here [ 956s] 79 | default; [ 956s] | ^~~~~~~ [ 956s] [321/1909] CXX obj/logging/rtc_event_log_impl_encoder/delta_encoding.o [ 956s] [322/1909] CXX obj/media/rtc_media_base/turn_utils.o [ 956s] [323/1909] CXX obj/common_video/common_video/sps_vui_rewriter.o [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../common_video/h264/sps_vui_rewriter.h:18, [ 956s] from ../../../../common_video/h264/sps_vui_rewriter.cc:12: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::SpsParser::SpsState&; T = webrtc::SpsParser::SpsState]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::SpsParser::SpsState]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::SpsParser::SpsState& webrtc::SpsParser::SpsState::operator=(const webrtc::SpsParser::SpsState&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../common_video/h264/sps_vui_rewriter.h:19, [ 956s] from ../../../../common_video/h264/sps_vui_rewriter.cc:12: [ 956s] ../../../../common_video/h264/sps_parser.h:29:5: note: because 'webrtc::SpsParser::SpsState' has user-provided 'webrtc::SpsParser::SpsState::SpsState(const webrtc::SpsParser::SpsState&)' [ 956s] 29 | SpsState(const SpsState&); [ 956s] | ^~~~~~~~ [ 956s] [324/1909] CXX obj/modules/video_processing/video_processing/skin_detection.o [ 956s] [325/1909] CXX obj/call/fake_network/fake_network_pipe.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../call/fake_network_pipe.h:24, [ 956s] from ../../../../call/fake_network_pipe.cc:18: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/test/simulated_network.h:20, [ 956s] from ../../../../call/fake_network_pipe.h:23, [ 956s] from ../../../../call/fake_network_pipe.cc:18: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::PacketOptions&; T = webrtc::PacketOptions]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::PacketOptions]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::PacketOptions& webrtc::PacketOptions::operator=(const webrtc::PacketOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/fake_network_pipe.h:22, [ 956s] from ../../../../call/fake_network_pipe.cc:18: [ 956s] ../../../../api/call/transport.h:24:3: note: because 'webrtc::PacketOptions' has user-provided 'webrtc::PacketOptions::PacketOptions(const webrtc::PacketOptions&)' [ 956s] 24 | PacketOptions(const PacketOptions&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] [326/1909] CXX obj/media/rtc_audio_video/apm_helpers.o [ 956s] [327/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/overuse_detector.o [ 956s] [328/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/dtmf_queue.o [ 956s] [329/1909] CXX obj/media/rtc_audio_video/simulcast.o [ 956s] [330/1909] CXX obj/logging/rtc_event_video/rtc_event_video_receive_stream_config.o [ 956s] [331/1909] CXX obj/media/rtc_media_base/video_common.o [ 956s] [332/1909] CXX obj/media/rtc_media_base/video_broadcaster.o [ 956s] ../../../../media/base/video_broadcaster.cc: In member function 'void rtc::VideoBroadcaster::UpdateWants()': [ 956s] ../../../../media/base/video_broadcaster.cc:132:20: warning: implicitly-declared 'rtc::VideoSinkWants& rtc::VideoSinkWants::operator=(const rtc::VideoSinkWants&)' is deprecated [-Wdeprecated-copy] [ 956s] 132 | current_wants_ = wants; [ 956s] | ^~~~~ [ 956s] In file included from ../../../../media/base/video_broadcaster.h:16, [ 956s] from ../../../../media/base/video_broadcaster.cc:11: [ 956s] ../../../../api/video/video_source_interface.h:26:3: note: because 'rtc::VideoSinkWants' has user-provided 'rtc::VideoSinkWants::VideoSinkWants(const rtc::VideoSinkWants&)' [ 956s] 26 | VideoSinkWants(const VideoSinkWants&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] [333/1909] CXX obj/logging/rtc_stream_config/rtc_stream_config.o [ 956s] [334/1909] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtp_packet_incoming.o [ 956s] [335/1909] CXX obj/pc/media_protocol_names/media_protocol_names.o [ 956s] [336/1909] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtp_packet_outgoing.o [ 956s] [337/1909] CXX obj/call/rtp_sender/rtp_video_sender.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/rtp_video_sender.h:26, [ 956s] from ../../../../call/rtp_video_sender.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [338/1909] STAMP obj/rtc_base/atomicops.stamp [ 956s] [339/1909] CXX obj/media/rtc_media_base/video_adapter.o [ 956s] [340/1909] CXX obj/media/rtc_media_base/rid_description.o [ 956s] [341/1909] CXX obj/media/rtc_media_base/rtp_utils.o [ 956s] ../../../../media/base/rtp_utils.cc: In function 'absl::string_view cricket::RtpPacketTypeToString(cricket::RtpPacketType)': [ 956s] ../../../../media/base/rtp_utils.cc:324:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 324 | } [ 956s] | ^ [ 956s] [342/1909] CXX obj/modules/video_processing/video_processing/denoiser_filter_c.o [ 956s] [343/1909] CXX obj/media/rtc_media_base/video_source_base.o [ 956s] ../../../../media/base/video_source_base.cc: In member function 'virtual void rtc::VideoSourceBase::AddOrUpdateSink(rtc::VideoSinkInterface*, const rtc::VideoSinkWants&)': [ 956s] ../../../../media/base/video_source_base.cc:30:24: warning: implicitly-declared 'rtc::VideoSinkWants& rtc::VideoSinkWants::operator=(const rtc::VideoSinkWants&)' is deprecated [-Wdeprecated-copy] [ 956s] 30 | sink_pair->wants = wants; [ 956s] | ^~~~~ [ 956s] In file included from ../../../../media/base/video_source_base.h:18, [ 956s] from ../../../../media/base/video_source_base.cc:11: [ 956s] ../../../../api/video/video_source_interface.h:26:3: note: because 'rtc::VideoSinkWants' has user-provided 'rtc::VideoSinkWants::VideoSinkWants(const rtc::VideoSinkWants&)' [ 956s] 26 | VideoSinkWants(const VideoSinkWants&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] [344/1909] CXX obj/pc/peerconnection/audio_track.o [ 956s] [345/1909] CC obj/modules/audio_coding/g722_c/g722_interface.o [ 956s] [346/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/inter_arrival.o [ 956s] [347/1909] CXX obj/modules/video_coding/nack_module/histogram.o [ 956s] [348/1909] CXX obj/media/rtc_audio_video/payload_type_mapper.o [ 956s] ../../../../media/engine/payload_type_mapper.cc: In member function 'absl::optional cricket::PayloadTypeMapper::ToAudioCodec(const webrtc::SdpAudioFormat&)': [ 956s] ../../../../media/engine/payload_type_mapper.cc:132:21: warning: redundant move in return statement [-Wredundant-move] [ 956s] 132 | return std::move(codec); [ 956s] | ~~~~~~~~~^~~~~~~ [ 956s] ../../../../media/engine/payload_type_mapper.cc:132:21: note: remove 'std::move' call [ 956s] [349/1909] CXX obj/modules/audio_coding/audio_coding_opus_common/audio_coder_opus_common.o [ 956s] [350/1909] CC obj/modules/audio_coding/ilbc_c/encode.o [ 956s] [351/1909] CXX obj/rtc_base/rtc_base/async_resolver_interface.o [ 956s] [352/1909] CXX obj/modules/audio_coding/g711/audio_decoder_pcm.o [ 956s] [353/1909] CC obj/modules/audio_coding/ilbc_c/energy_inverse.o [ 956s] [354/1909] CXX obj/modules/video_capture/video_capture_module/video_capture_factory.o [ 956s] [355/1909] CXX obj/pc/rtc_pc_base/channel_manager.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../pc/channel_manager.h:23, [ 956s] from ../../../../pc/channel_manager.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/channel_manager.h:28, [ 956s] from ../../../../pc/channel_manager.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [356/1909] CC obj/modules/audio_coding/ilbc_c/enhancer.o [ 956s] [357/1909] CC obj/modules/audio_coding/ilbc_c/filtered_cb_vecs.o [ 956s] [358/1909] CC obj/modules/audio_coding/ilbc_c/enh_upsample.o [ 956s] [359/1909] CC obj/modules/audio_coding/ilbc_c/gain_dequant.o [ 956s] [360/1909] CC obj/modules/audio_coding/ilbc_c/frame_classify.o [ 956s] [361/1909] CC obj/modules/audio_coding/ilbc_c/gain_quant.o [ 956s] [362/1909] CC obj/modules/audio_coding/ilbc_c/cb_mem_energy_calc.o [ 956s] [363/1909] CXX obj/modules/video_coding/video_coding/frame_object.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/frame_object.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/frame_object.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../modules/video_coding/frame_object.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/frame_object.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [364/1909] CC obj/modules/audio_coding/ilbc_c/abs_quant.o [ 956s] [365/1909] CC obj/modules/audio_coding/g711_c/g711_interface.o [ 956s] [366/1909] CC obj/modules/audio_coding/ilbc_c/cb_mem_energy.o [ 956s] [367/1909] CC obj/modules/audio_coding/ilbc_c/enhancer_interface.o [ 956s] [368/1909] CC obj/modules/audio_coding/ilbc_c/cb_search_core.o [ 956s] [369/1909] CC obj/modules/audio_coding/ilbc_c/cb_update_best_index.o [ 956s] [370/1909] CC obj/modules/audio_coding/ilbc_c/cb_search.o [ 956s] [371/1909] CXX obj/rtc_base/rtc_base/data_rate_limiter.o [ 956s] [372/1909] CXX obj/media/rtc_media_base/stream_params.o [ 956s] [373/1909] CXX obj/modules/audio_coding/g722/audio_encoder_g722.o [ 956s] [374/1909] CXX obj/rtc_base/rate_limiter/rate_limiter.o [ 956s] [375/1909] CC obj/modules/audio_coding/ilbc_c/get_cd_vec.o [ 956s] [376/1909] CXX obj/modules/audio_coding/audio_network_adaptor/bitrate_controller.o [ 956s] [377/1909] CC obj/modules/audio_coding/ilbc_c/get_lsp_poly.o [ 956s] [378/1909] CXX obj/modules/audio_coding/g722/audio_decoder_g722.o [ 956s] [379/1909] CXX obj/modules/audio_coding/audio_network_adaptor/audio_network_adaptor_impl.o [ 956s] [380/1909] CC obj/modules/audio_coding/ilbc_c/hp_input.o [ 956s] [381/1909] CC obj/modules/audio_coding/ilbc_c/get_sync_seq.o [ 956s] [382/1909] CC obj/modules/audio_coding/ilbc_c/hp_output.o [ 956s] [383/1909] CXX obj/modules/video_capture/video_capture_module/video_capture_impl.o [ 956s] [384/1909] CC obj/modules/audio_coding/ilbc_c/index_conv_enc.o [ 956s] [385/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/contributing_sources.o [ 956s] [386/1909] CC obj/modules/audio_coding/ilbc_c/index_conv_dec.o [ 956s] [387/1909] CXX obj/rtc_base/rtc_base/crc32.o [ 956s] [388/1909] CC obj/modules/audio_coding/ilbc_c/init_decode.o [ 956s] [389/1909] CC obj/modules/audio_coding/ilbc_c/init_encode.o [ 956s] [390/1909] CC obj/modules/audio_coding/ilbc_c/interpolate.o [ 956s] [391/1909] CC obj/modules/audio_coding/ilbc_c/lsf_check.o [ 956s] [392/1909] CC obj/modules/audio_coding/ilbc_c/ilbc.o [ 956s] [393/1909] CC obj/modules/audio_coding/ilbc_c/interpolate_samples.o [ 956s] [394/1909] CC obj/modules/audio_coding/ilbc_c/lpc_encode.o [ 956s] [395/1909] CXX obj/rtc_base/rtc_base/async_invoker.o [ 956s] [396/1909] CXX obj/media/rtc_media_base/codec.o [ 956s] [397/1909] CC obj/modules/audio_coding/isac_fix_c/transform.o [ 956s] [398/1909] CXX obj/modules/video_coding/webrtc_multiplex/multiplex_encoder_adapter.o [ 956s] ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc: In member function 'virtual int webrtc::MultiplexEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 956s] ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc:96:31: warning: implicitly-declared 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 96 | encoder_info_ = EncoderInfo(); [ 956s] | ^ [ 956s] In file included from ../../../../modules/video_coding/codecs/multiplex/include/multiplex_encoder_adapter.h:19, [ 956s] from ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:130:5: note: because 'webrtc::VideoEncoder::EncoderInfo' has user-provided 'webrtc::VideoEncoder::EncoderInfo::EncoderInfo(const webrtc::VideoEncoder::EncoderInfo&)' [ 956s] 130 | EncoderInfo(const EncoderInfo&); [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder.h: In member function 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)': [ 956s] ../../../../api/video_codecs/video_encoder.h:125:10: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 125 | struct EncoderInfo { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc: In member function 'virtual int webrtc::MultiplexEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 956s] ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc:96:31: note: synthesized method 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' first required here [ 956s] 96 | encoder_info_ = EncoderInfo(); [ 956s] | ^ [ 956s] [399/1909] CXX obj/modules/audio_coding/audio_network_adaptor/controller.o [ 956s] [400/1909] CXX obj/rtc_base/rtc_base/async_packet_socket.o [ 956s] [401/1909] ASM obj/modules/audio_coding/isac_fix_c_arm_asm/lattice_armv7.o [ 956s] [402/1909] CC obj/modules/audio_coding/isac_fix_c/filterbank_tables.o [ 956s] [403/1909] CXX obj/modules/audio_coding/audio_network_adaptor/frame_length_controller.o [ 956s] [404/1909] CXX obj/rtc_base/rtc_base/crypt_string.o [ 956s] [405/1909] CC obj/modules/audio_coding/ilbc_c/lsf_interpolate_to_poly_enc.o [ 956s] [406/1909] CC obj/modules/audio_coding/isac_neon/filterbanks_neon.o [ 956s] [407/1909] CC obj/modules/audio_coding/isac_neon/filters_neon.o [ 956s] [408/1909] CC obj/modules/audio_coding/ilbc_c/lsf_to_lsp.o [ 956s] [409/1909] CC obj/modules/audio_coding/ilbc_c/lsf_interpolate_to_poly_dec.o [ 956s] [410/1909] CC obj/modules/audio_coding/ilbc_c/lsp_to_lsf.o [ 956s] [411/1909] CC obj/modules/audio_coding/isac_fix_c/filters.o [ 956s] [412/1909] CC obj/modules/audio_coding/ilbc_c/my_corr.o [ 956s] [413/1909] CC obj/modules/audio_coding/isac_fix_c/filterbanks.o [ 956s] [414/1909] CC obj/modules/audio_coding/ilbc_c/poly_to_lsf.o [ 956s] [415/1909] CC obj/modules/audio_coding/ilbc_c/nearest_neighbor.o [ 956s] [416/1909] CC obj/modules/audio_coding/ilbc_c/lsf_to_poly.o [ 956s] [417/1909] CC obj/modules/audio_coding/ilbc_c/poly_to_lsp.o [ 956s] [418/1909] CXX obj/rtc_base/rtc_numerics/moving_average.o [ 956s] [419/1909] CC obj/modules/audio_coding/ilbc_c/refiner.o [ 956s] [420/1909] CC obj/modules/audio_coding/ilbc_c/simple_lpc_analysis.o [ 956s] [421/1909] CXX obj/media/rtc_simulcast_encoder_adapter/simulcast_encoder_adapter.o [ 956s] ../../../../media/engine/simulcast_encoder_adapter.cc: In member function 'virtual int webrtc::SimulcastEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 956s] ../../../../media/engine/simulcast_encoder_adapter.cc:278:63: warning: implicitly-declared 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 278 | encoder_info_ = streaminfos_[0].encoder->GetEncoderInfo(); [ 956s] | ^ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:19, [ 956s] from ../../../../media/engine/simulcast_encoder_adapter.h:23, [ 956s] from ../../../../media/engine/simulcast_encoder_adapter.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:130:5: note: because 'webrtc::VideoEncoder::EncoderInfo' has user-provided 'webrtc::VideoEncoder::EncoderInfo::EncoderInfo(const webrtc::VideoEncoder::EncoderInfo&)' [ 956s] 130 | EncoderInfo(const EncoderInfo&); [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder.h: In member function 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)': [ 956s] ../../../../api/video_codecs/video_encoder.h:125:10: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 125 | struct EncoderInfo { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] ../../../../media/engine/simulcast_encoder_adapter.cc: In member function 'virtual int webrtc::SimulcastEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 956s] ../../../../media/engine/simulcast_encoder_adapter.cc:278:63: note: synthesized method 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' first required here [ 956s] 278 | encoder_info_ = streaminfos_[0].encoder->GetEncoderInfo(); [ 956s] | ^ [ 956s] ../../../../media/engine/simulcast_encoder_adapter.cc:285:73: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 285 | encoder_info_.scaling_settings = VideoEncoder::ScalingSettings::kOff; [ 956s] | ^~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:19, [ 956s] from ../../../../media/engine/simulcast_encoder_adapter.h:23, [ 956s] from ../../../../media/engine/simulcast_encoder_adapter.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] [422/1909] CC obj/modules/audio_coding/ilbc_c/simple_interpolate_lsf.o [ 956s] [423/1909] CC obj/modules/audio_coding/ilbc_c/simple_lsf_dequant.o [ 956s] [424/1909] CC obj/modules/audio_coding/ilbc_c/smooth_out_data.o [ 956s] [425/1909] CC obj/modules/audio_coding/ilbc_c/smooth.o [ 956s] [426/1909] CC obj/modules/audio_coding/ilbc_c/simple_lsf_quant.o [ 956s] [427/1909] CC obj/modules/audio_coding/ilbc_c/split_vq.o [ 956s] [428/1909] CC obj/modules/audio_coding/ilbc_c/sort_sq.o [ 956s] [429/1909] CXX obj/modules/audio_coding/ilbc/audio_encoder_ilbc.o [ 956s] [430/1909] CXX obj/modules/audio_coding/audio_coding/audio_coding_module.o [ 956s] [431/1909] CC obj/modules/audio_coding/ilbc_c/pack_bits.o [ 956s] [432/1909] CC obj/modules/audio_coding/ilbc_c/swap_bytes.o [ 956s] [433/1909] CC obj/modules/audio_coding/ilbc_c/state_construct.o [ 956s] [434/1909] CC obj/modules/audio_coding/ilbc_c/vq3.o [ 956s] [435/1909] CC obj/modules/audio_coding/ilbc_c/state_search.o [ 956s] [436/1909] CC obj/modules/audio_coding/ilbc_c/window32_w32.o [ 956s] [437/1909] CC obj/modules/audio_coding/ilbc_c/xcorr_coef.o [ 956s] [438/1909] CC obj/modules/audio_coding/ilbc_c/vq4.o [ 956s] [439/1909] CC obj/modules/audio_coding/isac_fix_c/isacfix.o [ 956s] [440/1909] CC obj/modules/audio_coding/isac_fix_c/arith_routines.o [ 956s] [441/1909] CC obj/modules/audio_coding/isac_fix_c/lpc_tables.o [ 956s] [442/1909] CC obj/modules/audio_coding/ilbc_c/unpack_bits.o [ 956s] [443/1909] CC obj/modules/audio_coding/isac_fix_c/initialize.o [ 956s] [444/1909] CC obj/modules/audio_coding/isac_fix_c/spectrum_ar_model_tables.o [ 956s] [445/1909] CC obj/modules/audio_coding/isac_fix_c/decode.o [ 956s] [446/1909] CC obj/modules/audio_coding/isac_fix_c/pitch_gain_tables.o [ 956s] [447/1909] CC obj/modules/audio_coding/isac_fix_c/pitch_lag_tables.o [ 956s] [448/1909] CC obj/modules/audio_coding/isac_fix_c/pitch_estimator_c.o [ 956s] [449/1909] CC obj/modules/audio_coding/isac_fix_c/decode_bwe.o [ 956s] [450/1909] CXX obj/call/rtp_sender/rtp_transport_controller_send.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/rtp_transport_controller_send.h:23, [ 956s] from ../../../../call/rtp_transport_controller_send.cc:20: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../call/rtp_transport_controller_send.cc: In constructor 'webrtc::RtpTransportControllerSend::RtpTransportControllerSend(webrtc::Clock*, webrtc::RtcEventLog*, webrtc::NetworkStatePredictorFactoryInterface*, webrtc::NetworkControllerFactoryInterface*, const webrtc::BitrateConstraints&, std::unique_ptr, webrtc::TaskQueueFactory*)': [ 956s] ../../../../call/rtp_transport_controller_send.cc:90:74: warning: implicitly-declared 'webrtc::TargetRateConstraints& webrtc::TargetRateConstraints::operator=(const webrtc::TargetRateConstraints&)' is deprecated [-Wdeprecated-copy] [ 956s] 90 | initial_config_.constraints = ConvertConstraints(bitrate_config, clock_); [ 956s] | ^ [ 956s] In file included from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/transport/goog_cc_factory.h:16, [ 956s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 956s] ../../../../api/transport/network_types.h:48:3: note: because 'webrtc::TargetRateConstraints' has user-provided 'webrtc::TargetRateConstraints::TargetRateConstraints(const webrtc::TargetRateConstraints&)' [ 956s] 48 | TargetRateConstraints(const TargetRateConstraints&); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../call/rtp_transport_controller_send.cc: In member function 'virtual void webrtc::RtpTransportControllerSend::OnNetworkRouteChanged(const string&, const rtc::NetworkRoute&)': [ 956s] ../../../../call/rtp_transport_controller_send.cc:255:64: warning: implicitly-declared 'webrtc::TargetRateConstraints& webrtc::TargetRateConstraints::operator=(const webrtc::TargetRateConstraints&)' is deprecated [-Wdeprecated-copy] [ 956s] 255 | msg.constraints = ConvertConstraints(bitrate_config, clock_); [ 956s] | ^ [ 956s] In file included from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/transport/goog_cc_factory.h:16, [ 956s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 956s] ../../../../api/transport/network_types.h:48:3: note: because 'webrtc::TargetRateConstraints' has user-provided 'webrtc::TargetRateConstraints::TargetRateConstraints(const webrtc::TargetRateConstraints&)' [ 956s] 48 | TargetRateConstraints(const TargetRateConstraints&); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../call/rtp_transport_controller_send.cc: In member function 'void webrtc::RtpTransportControllerSend::MaybeCreateControllers()': [ 956s] ../../../../call/rtp_transport_controller_send.cc:466:41: warning: implicitly-declared 'webrtc::StreamsConfig& webrtc::StreamsConfig::operator=(const webrtc::StreamsConfig&)' is deprecated [-Wdeprecated-copy] [ 956s] 466 | initial_config_.stream_based_config = streams_config_; [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/transport/goog_cc_factory.h:16, [ 956s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 956s] ../../../../api/transport/network_types.h:32:3: note: because 'webrtc::StreamsConfig' has user-provided 'webrtc::StreamsConfig::StreamsConfig(const webrtc::StreamsConfig&)' [ 956s] 32 | StreamsConfig(const StreamsConfig&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../call/rtp_transport_controller_send.cc: In member function 'void webrtc::RtpTransportControllerSend::UpdateInitialConstraints(webrtc::TargetRateConstraints)': [ 956s] ../../../../call/rtp_transport_controller_send.cc:487:33: warning: implicitly-declared 'webrtc::TargetRateConstraints& webrtc::TargetRateConstraints::operator=(const webrtc::TargetRateConstraints&)' is deprecated [-Wdeprecated-copy] [ 956s] 487 | initial_config_.constraints = new_contraints; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/transport/goog_cc_factory.h:16, [ 956s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 956s] ../../../../api/transport/network_types.h:48:3: note: because 'webrtc::TargetRateConstraints' has user-provided 'webrtc::TargetRateConstraints::TargetRateConstraints(const webrtc::TargetRateConstraints&)' [ 956s] 48 | TargetRateConstraints(const TargetRateConstraints&); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~ [ 956s] [451/1909] CC obj/modules/audio_coding/isac_fix_c/pitch_filter.o [ 956s] [452/1909] CC obj/modules/audio_coding/isac_fix_c/lattice.o [ 956s] [453/1909] CC obj/modules/audio_coding/isac_fix_c/arith_routines_hist.o [ 956s] [454/1909] CC obj/modules/audio_coding/isac_fix_c/pitch_estimator.o [ 956s] [455/1909] CXX obj/media/rtc_media_base/media_channel.o [ 956s] [456/1909] CC obj/modules/audio_coding/isac_fix_c/decode_plc.o [ 956s] [457/1909] CXX obj/modules/audio_coding/neteq/histogram.o [ 956s] [458/1909] CXX obj/pc/rtc_pc_base/transport_stats.o [ 956s] [459/1909] CC obj/modules/audio_coding/isac_fix_c/encode.o [ 956s] [460/1909] CC obj/modules/audio_coding/isac_neon/lattice_neon.o [ 956s] [461/1909] CXX obj/rtc_base/rtc_base/helpers.o [ 956s] [462/1909] CXX obj/rtc_base/rtc_numerics/samples_stats_counter.o [ 956s] [463/1909] CC obj/modules/audio_coding/isac_fix_c/bandwidth_estimator.o [ 956s] [464/1909] CXX obj/modules/audio_coding/audio_network_adaptor/controller_manager.o [ 956s] [465/1909] CC obj/modules/audio_coding/isac_vad/isac_vad.o [ 956s] [466/1909] CC obj/modules/audio_coding/isac_fix_common/transform_tables.o [ 956s] [467/1909] CC obj/modules/audio_coding/isac_fix_c/lpc_masking_model.o [ 956s] [468/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/playout_delay_oracle.o [ 956s] [469/1909] CC obj/modules/audio_coding/isac_neon/transform_neon.o [ 956s] [470/1909] CXX obj/modules/audio_coding/neteq/random_vector.o [ 956s] [471/1909] CXX obj/modules/audio_coding/neteq/merge.o [ 956s] [472/1909] CXX obj/modules/audio_coding/neteq/normal.o [ 956s] [473/1909] CXX obj/modules/audio_coding/isac_common/locked_bandwidth_info.o [ 956s] [474/1909] CC obj/modules/audio_coding/isac_fix_common/fft.o [ 956s] [475/1909] CXX obj/modules/audio_coding/neteq/nack_tracker.o [ 956s] [476/1909] CC obj/modules/audio_coding/isac_vad/pitch_estimator.o [ 956s] [477/1909] CXX obj/media/rtc_media_base/media_engine.o [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/audio_codecs/audio_decoder_factory.h:17, [ 956s] from ../../../../media/base/media_engine.h:22, [ 956s] from ../../../../media/base/media_engine.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../media/base/media_engine.cc:52:26: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../media/base/media_engine.h:25, [ 956s] from ../../../../media/base/media_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/audio_codecs/audio_decoder_factory.h:17, [ 956s] from ../../../../media/base/media_engine.h:22, [ 956s] from ../../../../media/base/media_engine.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../media/base/media_engine.cc:52:26: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../media/base/media_engine.h:25, [ 956s] from ../../../../media/base/media_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [478/1909] CXX obj/modules/audio_coding/neteq/neteq.o [ 956s] [479/1909] CC obj/modules/audio_coding/isac_fix_c/entropy_coding.o [ 956s] [480/1909] CXX obj/rtc_base/rtc_base/file_rotating_stream.o [ 956s] [481/1909] CXX obj/modules/audio_coding/isac_fix/audio_decoder_isacfix.o [ 956s] [482/1909] STAMP obj/system_wrappers/cpu_features_api.stamp [ 956s] [483/1909] CC obj/system_wrappers/cpu_features_linux/cpu_features_linux.o [ 956s] [484/1909] CXX obj/modules/audio_coding/isac_fix/audio_encoder_isacfix.o [ 956s] [485/1909] CXX obj/modules/audio_coding/neteq/dtmf_tone_generator.o [ 956s] [486/1909] CXX obj/modules/audio_coding/neteq/dsp_helper.o [ 956s] [487/1909] CXX obj/modules/audio_coding/neteq/delay_peak_detector.o [ 956s] [488/1909] CXX obj/modules/audio_coding/neteq/dtmf_buffer.o [ 956s] [489/1909] CXX obj/rtc_base/experiments/normalize_simulcast_size_experiment/normalize_simulcast_size_experiment.o [ 956s] [490/1909] CXX obj/rtc_base/network/sent_packet/sent_packet.o [ 956s] [491/1909] CC obj/modules/audio_coding/pcm16b_c/pcm16b.o [ 956s] [492/1909] CXX obj/modules/audio_coding/neteq/expand_uma_logger.o [ 956s] [493/1909] STAMP obj/modules/audio_coding/pcm16b_c.stamp [ 956s] [494/1909] CXX obj/modules/audio_coding/neteq/packet.o [ 956s] [495/1909] CXX obj/modules/audio_coding/neteq/preemptive_expand.o [ 956s] [496/1909] CXX obj/modules/audio_coding/neteq/post_decode_vad.o [ 956s] [497/1909] CXX obj/modules/audio_coding/neteq/buffer_level_filter.o [ 956s] [498/1909] CXX obj/modules/audio_device/audio_device_impl/alsasymboltable_linux.o [ 956s] [499/1909] CXX obj/modules/audio_coding/neteq/sync_buffer.o [ 956s] [500/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/receive_statistics_impl.o [ 956s] [501/1909] CXX obj/modules/audio_coding/neteq/tick_timer.o [ 956s] [502/1909] CXX obj/modules/audio_device/audio_device_impl/pulseaudiosymboltable_linux.o [ 956s] [503/1909] CXX obj/media/rtc_media_base/rtp_data_engine.o [ 956s] [504/1909] CXX obj/modules/audio_coding/neteq/time_stretch.o [ 956s] [505/1909] CXX obj/modules/audio_coding/pcm16b/audio_decoder_pcm16b.o [ 956s] [506/1909] CXX obj/modules/audio_coding/neteq/red_payload_splitter.o [ 956s] [507/1909] CXX obj/modules/audio_coding/neteq/timestamp_scaler.o [ 956s] [508/1909] CXX obj/modules/audio_coding/neteq/background_noise.o [ 956s] [509/1909] CXX obj/media/rtc_data/sctp_transport.o [ 956s] [510/1909] CXX obj/modules/audio_coding/neteq/expand.o [ 956s] [511/1909] CXX obj/modules/audio_coding/neteq/decoder_database.o [ 956s] [512/1909] CXX obj/modules/audio_coding/pcm16b/audio_encoder_pcm16b.o [ 956s] [513/1909] CXX obj/modules/audio_coding/neteq/packet_buffer.o [ 956s] [514/1909] CXX obj/modules/audio_coding/neteq/delay_manager.o [ 956s] [515/1909] CXX obj/media/rtc_audio_video/webrtc_media_engine.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../media/engine/webrtc_media_engine.h:19, [ 956s] from ../../../../media/engine/webrtc_media_engine.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:28, [ 956s] from ../../../../media/engine/webrtc_media_engine.cc:21: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [516/1909] CXX obj/modules/audio_device/audio_device_impl/audio_device_data_observer.o [ 956s] [517/1909] CXX obj/modules/audio_coding/neteq/comfort_noise.o [ 956s] [518/1909] CXX obj/modules/audio_coding/pcm16b/pcm16b_common.o [ 956s] [519/1909] CXX obj/pc/rtc_pc_base/dtls_srtp_transport.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/dtls_srtp_transport.h:21, [ 956s] from ../../../../pc/dtls_srtp_transport.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [520/1909] CXX obj/modules/audio_device/audio_device_generic/audio_device_generic.o [ 956s] [521/1909] CXX obj/modules/audio_device/audio_device_impl/audio_device_dummy.o [ 956s] [522/1909] CXX obj/modules/audio_coding/webrtc_cng/webrtc_cng.o [ 956s] [523/1909] CXX obj/pc/rtc_pc_base/srtp_transport.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/srtp_transport.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [524/1909] CXX obj/modules/audio_device/audio_device_impl/latebindingsymboltable_linux.o [ 956s] [525/1909] CXX obj/modules/audio_device/audio_device_impl/file_audio_device_factory.o [ 956s] [526/1909] CXX obj/modules/audio_coding/neteq/statistics_calculator.o [ 956s] [527/1909] CXX obj/modules/audio_processing/audio_processing/typing_detection.o [ 956s] [528/1909] CXX obj/call/call/call.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../call/call.cc:27: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../video/video_receive_stream.h:23, [ 956s] from ../../../../call/call.cc:66: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/rtp_payload_params.h:21, [ 956s] from ../../../../call/rtp_video_sender.h:25, [ 956s] from ../../../../call/rtp_transport_controller_send.h:24, [ 956s] from ../../../../call/call.cc:31: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../call/call.cc:20: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../call/rtp_payload_params.h:21, [ 956s] from ../../../../call/rtp_video_sender.h:25, [ 956s] from ../../../../call/rtp_transport_controller_send.h:24, [ 956s] from ../../../../call/call.cc:31: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [529/1909] CXX obj/modules/audio_processing/apm_logging/apm_data_dumper.o [ 956s] [530/1909] CXX obj/modules/audio_processing/audio_processing/normalized_covariance_estimator.o [ 956s] [531/1909] CC obj/modules/audio_processing/audio_processing_c/noise_suppression_x.o [ 956s] [532/1909] CXX obj/pc/peerconnection/data_channel.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/data_channel.h:23, [ 956s] from ../../../../pc/data_channel.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [533/1909] CXX obj/modules/audio_processing/audio_buffer/splitting_filter.o [ 956s] [534/1909] CXX obj/modules/audio_processing/audio_processing/level_estimator_impl.o [ 956s] [535/1909] CXX obj/modules/audio_processing/audio_buffer/three_band_filter_bank.o [ 956s] [536/1909] CXX obj/modules/audio_processing/api/audio_processing.o [ 956s] [537/1909] CXX obj/video/video_stream_encoder_impl/encoder_overshoot_detector.o [ 956s] [538/1909] CXX obj/modules/audio_processing/audio_processing/rms_level.o [ 956s] [539/1909] CXX obj/modules/audio_device/audio_device_impl/file_audio_device.o [ 956s] [540/1909] CXX obj/modules/audio_mixer/audio_mixer_impl/default_output_rate_calculator.o [ 956s] [541/1909] CC obj/modules/audio_processing/audio_processing_c/nsx_core_c.o [ 956s] [542/1909] CC obj/modules/audio_processing/audio_processing_c/nsx_core_neon.o [ 956s] [543/1909] CXX obj/modules/audio_processing/audio_processing/aec_dump.o [ 956s] [544/1909] CXX obj/modules/audio_processing/aec3/aec3/echo_path_variability.o [ 956s] [545/1909] CXX obj/modules/audio_device/audio_device_impl/audio_device_alsa_linux.o [ 956s] [546/1909] CXX obj/modules/audio_processing/audio_processing/moving_moments.o [ 956s] [547/1909] CXX obj/modules/audio_mixer/audio_mixer_impl/frame_combiner.o [ 956s] [548/1909] CXX obj/modules/audio_processing/audio_processing/wpd_node.o [ 956s] [549/1909] CC obj/modules/audio_processing/audio_processing_c/nsx_core.o [ 956s] [550/1909] CXX obj/modules/audio_processing/audio_processing/gain_controller2.o [ 956s] [551/1909] CXX obj/modules/audio_processing/config/config.o [ 956s] [552/1909] STAMP obj/modules/audio_processing/gain_control_interface.stamp [ 956s] [553/1909] CXX obj/modules/audio_processing/audio_processing_statistics/audio_processing_statistics.o [ 956s] [554/1909] CXX obj/modules/audio_processing/audio_processing/transient_detector.o [ 956s] [555/1909] CXX obj/modules/audio_processing/audio_processing/mean_variance_estimator.o [ 956s] [556/1909] CXX obj/modules/audio_device/audio_device_impl/audio_device_impl.o [ 956s] [557/1909] CXX obj/modules/audio_processing/audio_processing/wpd_tree.o [ 956s] [558/1909] CXX obj/modules/audio_device/audio_device_impl/audio_mixer_manager_alsa_linux.o [ 956s] [559/1909] CXX obj/modules/audio_processing/audio_processing/gain_control_impl.o [ 956s] [560/1909] CXX obj/modules/audio_processing/audio_processing/moving_max.o [ 956s] [561/1909] CXX obj/modules/audio_processing/audio_processing/low_cut_filter.o [ 956s] [562/1909] CXX obj/modules/audio_coding/neteq/neteq_impl.o [ 956s] [563/1909] CXX obj/modules/audio_processing/audio_processing/noise_suppression_impl.o [ 956s] [564/1909] CXX obj/modules/audio_processing/aec3/aec3/downsampled_render_buffer.o [ 956s] [565/1909] CXX obj/modules/audio_processing/audio_processing/voice_detection_impl.o [ 956s] [566/1909] CXX obj/modules/audio_processing/aec3/aec3/erl_estimator.o [ 956s] [567/1909] CXX obj/modules/audio_processing/audio_buffer/audio_buffer.o [ 956s] [568/1909] CXX obj/video/video_stream_encoder_impl/frame_encode_metadata_writer.o [ 956s] [569/1909] CXX obj/modules/audio_processing/audio_processing/residual_echo_detector.o [ 956s] [570/1909] CXX obj/modules/audio_device/audio_device_impl/test_audio_device.o [ 956s] [571/1909] CXX obj/modules/audio_processing/aec3/aec3/clockdrift_detector.o [ 956s] [572/1909] CXX obj/modules/audio_processing/aec3/aec3/aec3_fft.o [ 956s] [573/1909] CXX obj/modules/audio_processing/audio_processing/circular_buffer.o [ 956s] [574/1909] CXX obj/modules/audio_device/audio_device_impl/audio_device_pulse_linux.o [ 956s] In file included from /usr/include/string.h:494, [ 956s] from ../../../../modules/audio_device/linux/audio_device_pulse_linux.cc:11: [ 956s] In function 'char* strncpy(char*, const char*, size_t)', [ 956s] inlined from 'int32_t webrtc::AudioDeviceLinuxPulse::GetDefaultDeviceInfo(bool, char*, uint16_t&)' at ../../../../modules/audio_device/linux/audio_device_pulse_linux.cc:1528:12: [ 956s] /usr/include/bits/string_fortified.h:106:34: warning: 'char* __builtin_strncpy(char*, const char*, unsigned int)' output may be truncated copying 119 bytes from a string of length 127 [-Wstringop-truncation] [ 956s] 106 | return __builtin___strncpy_chk (__dest, __src, __len, __bos (__dest)); [ 956s] | ~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 956s] [575/1909] CXX obj/modules/audio_processing/audio_processing/gain_control_for_experimental_agc.o [ 956s] [576/1909] CXX obj/modules/audio_processing/audio_processing/transient_suppressor.o [ 956s] [577/1909] CXX obj/modules/audio_processing/aec3/aec3/api_call_jitter_metrics.o [ 956s] [578/1909] CXX obj/modules/audio_processing/aec3/aec3/echo_path_delay_estimator.o [ 956s] [579/1909] CXX obj/modules/audio_processing/audio_processing/echo_control_mobile_impl.o [ 956s] [580/1909] CXX obj/modules/audio_processing/aec/aec/echo_cancellation.o [ 956s] [581/1909] CXX obj/modules/audio_processing/audio_processing/echo_cancellation_impl.o [ 956s] [582/1909] CXX obj/modules/audio_processing/aec3/aec3/echo_audibility.o [ 956s] [583/1909] CXX obj/modules/audio_processing/aec/aec/aec_resampler.o [ 956s] [584/1909] CXX obj/modules/audio_processing/aec3/aec3/block_framer.o [ 956s] [585/1909] CXX obj/modules/audio_processing/aec3/aec3/aec3_common.o [ 956s] [586/1909] CXX obj/modules/audio_processing/aec3/aec3/block_processor_metrics.o [ 956s] [587/1909] CXX obj/modules/audio_processing/aec3/aec3/block_delay_buffer.o [ 956s] [588/1909] CXX obj/modules/audio_processing/aec3/aec3/decimator.o [ 956s] [589/1909] CXX obj/modules/audio_processing/aec3/aec3/fullband_erle_estimator.o [ 956s] [590/1909] CXX obj/modules/audio_processing/aec3/aec3/cascaded_biquad_filter.o [ 956s] [591/1909] CXX obj/modules/audio_processing/noise_suppression_proxy/noise_suppression_proxy.o [ 956s] [592/1909] CXX obj/modules/audio_processing/aec3/aec3/fft_buffer.o [ 956s] [593/1909] CXX obj/modules/audio_processing/aec3/aec3/erle_estimator.o [ 956s] [594/1909] CXX obj/modules/audio_processing/aec3/aec3/aec_state.o [ 956s] [595/1909] CXX obj/modules/audio_processing/aec3/aec3/moving_average.o [ 956s] [596/1909] CXX obj/modules/audio_processing/gain_control_config_proxy/gain_control_config_proxy.o [ 956s] ../../../../modules/audio_processing/gain_control_config_proxy.cc: In function 'webrtc::AudioProcessing::Config::GainController1::Mode webrtc::{anonymous}::InterfaceModeToConfigMode(webrtc::GainControl::Mode)': [ 956s] ../../../../modules/audio_processing/gain_control_config_proxy.cc:27:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 27 | } [ 956s] | ^ [ 956s] [597/1909] CXX obj/modules/audio_processing/aec3/aec3/matrix_buffer.o [ 956s] [598/1909] CXX obj/modules/audio_processing/aec3/aec3/frame_blocker.o [ 956s] [599/1909] CXX obj/modules/audio_processing/aec3/aec3/block_processor.o [ 956s] [600/1909] CXX obj/modules/audio_processing/aec3/aec3/comfort_noise_generator.o [ 956s] [601/1909] CXX obj/modules/audio_processing/aec/aec_core/aec_core_neon.o [ 956s] [602/1909] CXX obj/modules/audio_processing/aec3/aec3/render_reverb_model.o [ 956s] [603/1909] CXX obj/modules/audio_processing/aec3/aec3/render_buffer.o [ 956s] [604/1909] CXX obj/modules/audio_processing/aec3/aec3/matched_filter_lag_aggregator.o [ 956s] [605/1909] CXX obj/modules/audio_processing/aec3/aec3/filter_analyzer.o [ 956s] [606/1909] CXX obj/modules/audio_processing/aec3/aec3/adaptive_fir_filter.o [ 956s] [607/1909] CXX obj/modules/audio_processing/aec3/aec3/main_filter_update_gain.o [ 956s] [608/1909] CXX obj/modules/audio_processing/aec3/aec3/reverb_model_fallback.o [ 956s] [609/1909] CC obj/modules/audio_processing/agc/agc_legacy_c/analog_agc.o [ 956s] [610/1909] CXX obj/modules/audio_processing/aecm/aecm_core/echo_control_mobile.o [ 956s] [611/1909] CXX obj/modules/audio_processing/aec3/aec3/echo_canceller3.o [ 956s] [612/1909] CXX obj/modules/audio_processing/aec3/aec3/reverb_model.o [ 956s] [613/1909] CXX obj/modules/audio_processing/aec3/aec3/render_delay_controller_metrics.o [ 956s] [614/1909] CXX obj/modules/audio_processing/aec3/aec3/echo_remover_metrics.o [ 956s] [615/1909] CXX obj/modules/audio_processing/aec3/aec3/render_delay_controller.o [ 956s] [616/1909] CXX obj/modules/audio_processing/aec3/aec3/reverb_frequency_response.o [ 956s] [617/1909] CXX obj/modules/audio_processing/agc/level_estimation/utility.o [ 956s] [618/1909] CXX obj/modules/audio_processing/aec3/aec3/echo_remover.o [ 956s] [619/1909] CXX obj/modules/audio_processing/aec3/aec3/subtractor_output.o [ 956s] [620/1909] CXX obj/modules/audio_processing/aec3/aec3/reverb_model_estimator.o [ 956s] [621/1909] CXX obj/modules/audio_processing/aec/aec_core/aec_core.o [ 956s] [622/1909] CXX obj/modules/audio_processing/agc2/biquad_filter/biquad_filter.o [ 956s] [623/1909] CXX obj/modules/audio_processing/aec3/aec3/render_signal_analyzer.o [ 956s] [624/1909] CXX obj/modules/audio_processing/aec3/aec3/reverb_decay_estimator.o [ 956s] [625/1909] CXX obj/modules/audio_processing/agc2/common/agc2_common.o [ 956s] [626/1909] CXX obj/modules/audio_processing/aec3/aec3/stationarity_estimator.o [ 956s] [627/1909] CXX obj/modules/audio_processing/aec3/aec3/shadow_filter_update_gain.o [ 956s] [628/1909] CXX obj/modules/audio_processing/aec3/aec3/subtractor_output_analyzer.o [ 956s] [629/1909] CXX obj/modules/audio_processing/vad/vad/gmm.o [ 956s] [630/1909] CXX obj/modules/audio_processing/aec3/aec3/residual_echo_estimator.o [ 956s] [631/1909] CXX obj/modules/audio_processing/aec3/aec3/matched_filter.o [ 956s] [632/1909] CXX obj/modules/audio_processing/aec3/aec3/subband_erle_estimator.o [ 956s] [633/1909] CXX obj/modules/audio_processing/aec3/aec3/render_delay_buffer.o [ 956s] [634/1909] CXX obj/modules/audio_processing/utility/ooura_fft/ooura_fft.o [ 956s] [635/1909] CXX obj/modules/audio_processing/aecm/aecm_core/aecm_core_neon.o [ 956s] [636/1909] CXX obj/modules/audio_processing/aec3/aec3/vector_buffer.o [ 956s] [637/1909] CXX obj/modules/audio_processing/agc/level_estimation/agc.o [ 956s] [638/1909] CXX obj/modules/audio_processing/aecm/aecm_core/aecm_core_c.o [ 956s] [639/1909] CXX obj/modules/audio_processing/agc2/gain_applier/gain_applier.o [ 956s] [640/1909] CXX obj/modules/audio_processing/agc2/fixed_digital/fixed_digital_level_estimator.o [ 956s] [641/1909] CXX obj/modules/audio_processing/aec3/aec3/signal_dependent_erle_estimator.o [ 956s] [642/1909] CXX obj/modules/audio_processing/agc/level_estimation/loudness_histogram.o [ 956s] [643/1909] CXX obj/modules/audio_processing/utility/ooura_fft/ooura_fft_neon.o [ 956s] [644/1909] CXX obj/modules/audio_processing/agc2/fixed_digital/interpolated_gain_curve.o [ 956s] [645/1909] CXX obj/modules/audio_processing/agc2/noise_level_estimator/down_sampler.o [ 956s] [646/1909] CXX obj/modules/audio_processing/aec3/aec3/subtractor.o [ 956s] [647/1909] CXX obj/modules/audio_processing/agc2/adaptive_digital/adaptive_digital_gain_applier.o [ 956s] [648/1909] CXX obj/modules/audio_processing/agc2/noise_level_estimator/noise_spectrum_estimator.o [ 956s] [649/1909] CXX obj/modules/audio_processing/vad/vad/pitch_internal.o [ 956s] [650/1909] CXX obj/modules/audio_processing/aec3/aec3/suppression_filter.o [ 956s] [651/1909] CXX obj/modules/audio_processing/agc2/adaptive_digital/adaptive_agc.o [ 956s] [652/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/rnn.o [ 956s] [653/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/auto_correlation.o [ 956s] [654/1909] CXX obj/modules/audio_processing/agc2/fixed_digital/limiter.o [ 956s] [655/1909] CXX obj/modules/audio_processing/utility/block_mean_calculator/block_mean_calculator.o [ 956s] [656/1909] CXX obj/modules/audio_processing/vad/vad/pole_zero_filter.o [ 956s] [657/1909] CXX obj/modules/audio_processing/agc2/noise_level_estimator/noise_level_estimator.o [ 956s] [658/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/features_extraction.o [ 956s] [659/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/spectral_features.o [ 956s] [660/1909] CXX obj/modules/audio_processing/agc2/noise_level_estimator/signal_classifier.o [ 956s] [661/1909] CXX obj/modules/audio_processing/utility/legacy_delay_estimator/delay_estimator_wrapper.o [ 956s] [662/1909] CXX obj/modules/audio_processing/agc2/rnn_vad_with_level/vad_with_level.o [ 956s] [663/1909] CXX obj/modules/audio_processing/vad/vad/pitch_based_vad.o [ 956s] [664/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/pitch_search_internal.o [ 956s] [665/1909] CXX obj/modules/audio_processing/vad/vad/vad_circular_buffer.o [ 956s] [666/1909] CXX obj/modules/audio_processing/agc2/level_estimation_agc/adaptive_mode_level_estimator_agc.o [ 956s] [667/1909] CXX obj/modules/audio_processing/utility/legacy_delay_estimator/delay_estimator.o [ 956s] [668/1909] CXX obj/modules/audio_processing/agc/agc/agc_manager_direct.o [ 956s] [669/1909] CXX obj/modules/audio_processing/aec3/aec3/suppression_gain.o [ 956s] [670/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/spectral_features_internal.o [ 956s] [671/1909] CXX obj/modules/audio_processing/vad/vad/standalone_vad.o [ 956s] [672/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/lp_residual.o [ 956s] [673/1909] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/pitch_search.o [ 956s] [674/1909] CXX obj/modules/audio_processing/vad/vad/voice_activity_detector.o [ 956s] [675/1909] CXX obj/modules/audio_processing/utility/pffft_wrapper/pffft_wrapper.o [ 956s] [676/1909] CXX obj/modules/audio_processing/vad/vad/vad_audio_proc.o [ 956s] [677/1909] CXX obj/modules/pacing/interval_budget/interval_budget.o [ 956s] [678/1909] CXX obj/modules/congestion_controller/goog_cc/link_capacity_estimator/link_capacity_estimator.o [ 956s] [679/1909] CXX obj/modules/bitrate_controller/bitrate_controller/bitrate_controller.o [ 956s] [680/1909] CXX obj/modules/congestion_controller/goog_cc/pushback_controller/congestion_window_pushback_controller.o [ 956s] [681/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/bwe_defines.o [ 956s] [682/1909] CXX obj/modules/audio_processing/audio_processing/audio_processing_impl.o [ 956s] ../../../../modules/audio_processing/audio_processing_impl.cc: In member function 'virtual webrtc::AudioProcessing::Config webrtc::AudioProcessingImpl::GetConfig() const': [ 956s] ../../../../modules/audio_processing/audio_processing_impl.cc:1784:10: warning: implicitly-declared 'constexpr webrtc::AudioProcessing::Config::Config(const webrtc::AudioProcessing::Config&)' is deprecated [-Wdeprecated-copy] [ 956s] 1784 | return config_; [ 956s] | ^~~~~~~ [ 956s] In file included from ../../../../modules/audio_processing/audio_buffer.h:21, [ 956s] from ../../../../modules/audio_processing/audio_processing_impl.h:19, [ 956s] from ../../../../modules/audio_processing/audio_processing_impl.cc:11: [ 956s] ../../../../modules/audio_processing/include/audio_processing.h:367:13: note: because 'webrtc::AudioProcessing::Config' has user-provided 'webrtc::AudioProcessing::Config& webrtc::AudioProcessing::Config::operator=(const webrtc::AudioProcessing::Config&)' [ 956s] 367 | Config& operator=(const Config& config) { [ 956s] | ^~~~~~~~ [ 956s] ../../../../modules/audio_processing/audio_processing_impl.cc: In function 'webrtc::NoiseSuppression::Level webrtc::{anonymous}::NsConfigLevelToInterfaceLevel(webrtc::AudioProcessing::Config::NoiseSuppression::Level)': [ 956s] ../../../../modules/audio_processing/audio_processing_impl.cc:126:5: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 126 | default: [ 956s] | ^~~~~~~ [ 956s] ../../../../modules/audio_processing/audio_processing_impl.cc: In function 'webrtc::GainControl::Mode webrtc::{anonymous}::Agc1ConfigModeToInterfaceMode(webrtc::AudioProcessing::Config::GainController1::Mode)': [ 956s] ../../../../modules/audio_processing/audio_processing_impl.cc:142:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 142 | } [ 956s] | ^ [ 956s] [683/1909] CXX obj/media/rtc_audio_video/webrtc_voice_engine.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:24, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:28, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc: In constructor 'cricket::WebRtcVoiceMediaChannel::WebRtcAudioSendStream::WebRtcAudioSendStream(uint32_t, const string&, const string&, std::string, const absl::optional&, bool, const std::vector&, int, int, const absl::optional >&, webrtc::Call*, webrtc::Transport*, const webrtc::MediaTransportConfig&, const rtc::scoped_refptr&, absl::optional, rtc::scoped_refptr, const webrtc::CryptoOptions&)': [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:725:30: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 725 | config_.crypto_options = crypto_options; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:22, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:24, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'webrtc::RTCError cricket::WebRtcVoiceMediaChannel::WebRtcAudioSendStream::SetRtpParameters(const webrtc::RtpParameters&)': [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:924:23: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 924 | rtp_parameters_ = parameters; [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h: In member function 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)': [ 956s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 622 | struct RTC_EXPORT RtpParameters { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 956s] 589 | RtcpParameters(const RtcpParameters&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'webrtc::RTCError cricket::WebRtcVoiceMediaChannel::WebRtcAudioSendStream::SetRtpParameters(const webrtc::RtpParameters&)': [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:924:23: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 956s] 924 | rtp_parameters_ = parameters; [ 956s] | ^~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc: In constructor 'cricket::WebRtcVoiceMediaChannel::WebRtcAudioReceiveStream::WebRtcAudioReceiveStream(uint32_t, uint32_t, bool, bool, const std::vector >&, const std::vector&, webrtc::Call*, webrtc::Transport*, const webrtc::MediaTransportConfig&, const rtc::scoped_refptr&, const std::map&, absl::optional, size_t, bool, int, bool, rtc::scoped_refptr, const webrtc::CryptoOptions&)': [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:1089:30: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 1089 | config_.crypto_options = crypto_options; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:22, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:24, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'virtual webrtc::RtpParameters cricket::WebRtcVoiceMediaChannel::GetRtpReceiveParameters(uint32_t) const': [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:1449:47: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 1449 | rtp_params = it->second->GetRtpParameters(); [ 956s] | ^ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'virtual bool cricket::WebRtcVoiceMediaChannel::GetStats(cricket::VoiceMediaInfo*)': [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:2216:34: warning: implicitly-declared 'webrtc::ANAStats& webrtc::ANAStats::operator=(const webrtc::ANAStats&)' is deprecated [-Wdeprecated-copy] [ 956s] 2216 | sinfo.ana_statistics = stats.ana_statistics; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/audio_codecs/audio_encoder_factory.h:19, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:19, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/audio_codecs/audio_encoder.h:31:3: note: because 'webrtc::ANAStats' has user-provided 'webrtc::ANAStats::ANAStats(const webrtc::ANAStats&)' [ 956s] 31 | ANAStats(const ANAStats&); [ 956s] | ^~~~~~~~ [ 956s] ../../../../media/engine/webrtc_voice_engine.cc:2217:34: warning: implicitly-declared 'webrtc::AudioProcessingStats& webrtc::AudioProcessingStats::operator=(const webrtc::AudioProcessingStats&)' is deprecated [-Wdeprecated-copy] [ 956s] 2217 | sinfo.apm_statistics = stats.apm_statistics; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/media_stream_interface.h:31, [ 956s] from ../../../../api/rtp_receiver_interface.h:22, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../modules/audio_processing/include/audio_processing_statistics.h:24:3: note: because 'webrtc::AudioProcessingStats' has user-provided 'webrtc::AudioProcessingStats::AudioProcessingStats(const webrtc::AudioProcessingStats&)' [ 956s] 24 | AudioProcessingStats(const AudioProcessingStats& other); [ 956s] | ^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/audio_codecs/audio_encoder_factory.h:17, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:19, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/audio_codecs/audio_encoder_factory.h:17, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:19, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [684/1909] CXX obj/modules/congestion_controller/goog_cc/alr_detector/alr_detector.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/alr_detector.cc:19: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [685/1909] CXX obj/modules/congestion_controller/goog_cc/goog_cc/overuse_predictor.o [ 956s] [686/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/fec_private_tables_random.o [ 956s] [687/1909] CXX obj/modules/congestion_controller/goog_cc/estimators/acknowledged_bitrate_estimator.o [ 956s] [688/1909] CXX obj/modules/congestion_controller/goog_cc/estimators/bitrate_estimator.o [ 956s] [689/1909] CXX obj/modules/congestion_controller/congestion_controller/receive_side_congestion_controller.o [ 956s] [690/1909] CXX obj/modules/pacing/pacing/bitrate_prober.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/pacing/bitrate_prober.cc:18: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [691/1909] CXX obj/modules/bitrate_controller/bitrate_controller/loss_based_bandwidth_estimation.o [ 956s] [692/1909] CXX obj/modules/congestion_controller/rtp/control_handler/control_handler.o [ 956s] [693/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/forward_error_correction_internal.o [ 956s] [694/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtcp_nack_stats.o [ 956s] [695/1909] CXX obj/modules/congestion_controller/goog_cc/delay_based_bwe/delay_based_bwe.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/delay_based_bwe.cc:22: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [696/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/packet_loss_stats.o [ 956s] [697/1909] CXX obj/modules/pacing/pacing/round_robin_packet_queue.o [ 956s] [698/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_header_parser.o [ 956s] [699/1909] CXX obj/modules/bitrate_controller/bitrate_controller/bitrate_controller_impl.o [ 956s] [700/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_header_extension_size.o [ 956s] [701/1909] CXX obj/modules/congestion_controller/goog_cc/estimators/probe_bitrate_estimator.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/probe_bitrate_estimator.cc:18: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [702/1909] CXX obj/modules/congestion_controller/goog_cc/probe_controller/probe_controller.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/probe_controller.h:22, [ 956s] from ../../../../modules/congestion_controller/goog_cc/probe_controller.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [703/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/aimd_rate_control.o [ 956s] [704/1909] CXX obj/modules/congestion_controller/rtp/transport_feedback/send_time_history.o [ 956s] [705/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_video_generic.o [ 956s] [706/1909] CXX obj/modules/pacing/pacing/paced_sender.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/pacing/paced_sender.cc:17: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [707/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_vp8.o [ 956s] [708/1909] CXX obj/modules/congestion_controller/rtp/transport_feedback/transport_feedback_adapter.o [ 956s] [709/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/remote_ntp_time_estimator.o [ 956s] [710/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_vp9.o [ 956s] [711/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/time_util.o [ 956s] [712/1909] CXX obj/modules/bitrate_controller/bitrate_controller/send_side_bandwidth_estimation.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/bitrate_controller/send_side_bandwidth_estimation.cc:21: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [713/1909] CXX obj/modules/congestion_controller/congestion_controller/send_side_congestion_controller.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/probe_controller.h:22, [ 956s] from ../../../../modules/congestion_controller/send_side_congestion_controller.cc:28: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [714/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/overuse_estimator.o [ 956s] [715/1909] CXX obj/modules/pacing/pacing/packet_router.o [ 956s] [716/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/remote_bitrate_estimator_abs_send_time.o [ 956s] [717/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/flexfec_header_reader_writer.o [ 956s] [718/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/forward_error_correction.o [ 956s] [719/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/extended_jitter_report.o [ 956s] [720/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/app.o [ 956s] [721/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/common_header.o [ 956s] [722/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtpfb.o [ 956s] [723/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rrtr.o [ 956s] [724/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format.o [ 956s] [725/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/tmmbr_help.o [ 956s] [726/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/extended_reports.o [ 956s] [727/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sequence_number_map.o [ 956s] [728/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/fir.o [ 956s] [729/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtcp_packet.o [ 956s] [730/1909] CXX obj/modules/congestion_controller/goog_cc/goog_cc/goog_cc_network_control.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/congestion_controller/goog_cc/goog_cc_network_control.h:28, [ 956s] from ../../../../modules/congestion_controller/goog_cc/goog_cc_network_control.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [731/1909] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/remote_estimator_proxy.o [ 956s] [732/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/ulpfec_header_reader_writer.o [ 956s] [733/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_packet_history.o [ 956s] [734/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/report_block.o [ 956s] [735/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/bye.o [ 956s] [736/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/report_block_data.o [ 956s] [737/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/tmmb_item.o [ 956s] [738/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sender_audio.o [ 956s] ../../../../modules/rtp_rtcp/source/rtp_sender_audio.cc: In function 'const char* webrtc::{anonymous}::FrameTypeToString(webrtc::AudioFrameType)': [ 956s] ../../../../modules/rtp_rtcp/source/rtp_sender_audio.cc:42:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 42 | } [ 956s] | ^ [ 956s] [739/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_utility.o [ 956s] [740/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/target_bitrate.o [ 956s] [741/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/ulpfec_receiver_impl.o [ 956s] [742/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/sdes.o [ 956s] [743/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_rtcp_defines.o [ 956s] [744/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/tmmbn.o [ 956s] [745/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_h264.o [ 956s] ../../../../modules/rtp_rtcp/source/rtp_format_h264.cc: In member function 'bool webrtc::RtpDepacketizerH264::ProcessStapAOrSingleNalu(webrtc::RtpDepacketizer::ParsedPayload*, const uint8_t*)': [ 956s] ../../../../modules/rtp_rtcp/source/rtp_format_h264.cc:516:51: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 956s] 516 | parsed_payload->video_header().frame_type = [ 956s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^ [ 956s] 517 | VideoFrameType::kVideoFrameKey; [ 956s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../modules/rtp_rtcp/source/rtp_format_h264.cc:519:7: note: here [ 956s] 519 | case H264::NaluType::kSlice: { [ 956s] | ^~~~ [ 956s] [746/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/ulpfec_generator.o [ 956s] [747/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/sender_report.o [ 956s] [748/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/tmmbr.o [ 956s] [749/1909] CXX obj/modules/video_coding/video_coding/rtt_filter.o [ 956s] [750/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/psfb.o [ 956s] [751/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_generic_frame_descriptor.o [ 956s] [752/1909] CC obj/modules/third_party/g711/g711_3p/g711.o [ 956s] [753/1909] STAMP obj/modules/third_party/g711/g711_3p.stamp [ 956s] [754/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/compound_packet.o [ 956s] [755/1909] CXX obj/modules/video_coding/video_codec_interface/video_coding_defines.o [ 956s] [756/1909] STAMP obj/modules/audio_coding/g711_c.stamp [ 956s] [757/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/dlrr.o [ 956s] [758/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/loss_notification.o [ 956s] [759/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_rtcp_impl.o [ 956s] [760/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/flexfec_receiver.o [ 956s] [761/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/pli.o [ 956s] [762/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rapid_resync_request.o [ 956s] [763/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_generic_frame_descriptor_extension.o [ 956s] [764/1909] CC obj/modules/third_party/g722/g722_3p/g722_decode.o [ 956s] [765/1909] CC obj/modules/third_party/g722/g722_3p/g722_encode.o [ 956s] [766/1909] STAMP obj/modules/third_party/g722/g722_3p.stamp [ 956s] [767/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/remb.o [ 956s] [768/1909] STAMP obj/modules/audio_coding/g722_c.stamp [ 956s] [769/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/flexfec_sender.o [ 956s] [770/1909] CC obj/modules/third_party/fft/fft/fft.o [ 956s] [771/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/receiver_report.o [ 956s] [772/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/nack.o [ 956s] [773/1909] STAMP obj/modules/third_party/fft/fft.stamp [ 956s] [774/1909] CXX obj/modules/video_coding/packet/packet.o [ 956s] [775/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sender.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/rtp_rtcp/source/rtp_sender.cc:22: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [776/1909] CXX obj/video/video_stream_encoder_impl/video_stream_encoder.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:30, [ 956s] from ../../../../video/video_stream_encoder.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:30, [ 956s] from ../../../../video/video_stream_encoder.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] ../../../../video/video_stream_encoder.cc: In member function 'void webrtc::VideoStreamEncoder::VideoSourceProxy::SetSource(rtc::VideoSourceInterface*, const webrtc::DegradationPreference&)': [ 956s] ../../../../video/video_stream_encoder.cc:216:42: warning: implicitly-declared 'rtc::VideoSinkWants& rtc::VideoSinkWants::operator=(const rtc::VideoSinkWants&)' is deprecated [-Wdeprecated-copy] [ 956s] 216 | wants = GetActiveSinkWantsInternal(); [ 956s] | ^ [ 956s] In file included from ../../../../api/video/video_stream_encoder_interface.h:20, [ 956s] from ../../../../video/video_stream_encoder.h:23, [ 956s] from ../../../../video/video_stream_encoder.cc:11: [ 956s] ../../../../api/video/video_source_interface.h:26:3: note: because 'rtc::VideoSinkWants' has user-provided 'rtc::VideoSinkWants::VideoSinkWants(const rtc::VideoSinkWants&)' [ 956s] 26 | VideoSinkWants(const VideoSinkWants&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] ../../../../video/video_stream_encoder.cc: In member function 'void webrtc::VideoStreamEncoder::EncodeVideoFrame(const webrtc::VideoFrame&, int64_t)': [ 956s] ../../../../video/video_stream_encoder.cc:1294:19: warning: implicitly-declared 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 1294 | encoder_info_ = info; [ 956s] | ^~~~ [ 956s] In file included from ../../../../api/video/video_stream_encoder_interface.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:23, [ 956s] from ../../../../video/video_stream_encoder.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:130:5: note: because 'webrtc::VideoEncoder::EncoderInfo' has user-provided 'webrtc::VideoEncoder::EncoderInfo::EncoderInfo(const webrtc::VideoEncoder::EncoderInfo&)' [ 956s] 130 | EncoderInfo(const EncoderInfo&); [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder.h: In member function 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)': [ 956s] ../../../../api/video_codecs/video_encoder.h:125:10: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 125 | struct EncoderInfo { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] ../../../../video/video_stream_encoder.cc: In member function 'void webrtc::VideoStreamEncoder::EncodeVideoFrame(const webrtc::VideoFrame&, int64_t)': [ 956s] ../../../../video/video_stream_encoder.cc:1294:19: note: synthesized method 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' first required here [ 956s] 1294 | encoder_info_ = info; [ 956s] | ^~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/video_bitrate_allocation.h:20, [ 956s] from ../../../../api/video/video_bitrate_allocator.h:14, [ 956s] from ../../../../video/video_stream_encoder.h:20, [ 956s] from ../../../../video/video_stream_encoder.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_encoder.h:30, [ 956s] from ../../../../video/video_stream_encoder.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] ../../../../video/video_stream_encoder.cc: In member function 'virtual void webrtc::VideoStreamEncoder::AdaptDown(webrtc::AdaptationObserverInterface::AdaptReason)': [ 956s] ../../../../video/video_stream_encoder.cc:1682:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 956s] 1682 | RTC_FALLTHROUGH(); [ 956s] | ^ [ 956s] ../../../../video/video_stream_encoder.cc:1684:5: note: here [ 956s] 1684 | case DegradationPreference::MAINTAIN_FRAMERATE: { [ 956s] | ^~~~ [ 956s] ../../../../video/video_stream_encoder.cc: In member function 'virtual void webrtc::VideoStreamEncoder::AdaptUp(webrtc::AdaptationObserverInterface::AdaptReason)': [ 956s] ../../../../video/video_stream_encoder.cc:1764:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 956s] 1764 | RTC_FALLTHROUGH(); [ 956s] | ^ [ 956s] ../../../../video/video_stream_encoder.cc:1766:5: note: here [ 956s] 1766 | case DegradationPreference::MAINTAIN_FRAMERATE: { [ 956s] | ^~~~ [ 956s] [777/1909] CXX obj/media/rtc_audio_video/webrtc_video_engine.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../media/engine/webrtc_voice_engine.h:28, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:31: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'virtual webrtc::RtpParameters cricket::WebRtcVideoChannel::GetRtpReceiveParameters(uint32_t) const': [ 956s] ../../../../media/engine/webrtc_video_engine.cc:868:47: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 868 | rtp_params = it->second->GetRtpParameters(); [ 956s] | ^ [ 956s] In file included from ../../../../call/audio_receive_stream.h:24, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h: In member function 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)': [ 956s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 622 | struct RTC_EXPORT RtpParameters { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 956s] 589 | RtcpParameters(const RtcpParameters&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'virtual webrtc::RtpParameters cricket::WebRtcVideoChannel::GetRtpReceiveParameters(uint32_t) const': [ 956s] ../../../../media/engine/webrtc_video_engine.cc:868:47: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 956s] 868 | rtp_params = it->second->GetRtpParameters(); [ 956s] | ^ [ 956s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'virtual bool cricket::WebRtcVideoChannel::AddSendStream(const cricket::StreamParams&)': [ 956s] ../../../../media/engine/webrtc_video_engine.cc:1105:27: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 1105 | config.crypto_options = crypto_options_; [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:22, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'bool cricket::WebRtcVideoChannel::AddRecvStream(const cricket::StreamParams&, bool)': [ 956s] ../../../../media/engine/webrtc_video_engine.cc:1228:27: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 1228 | config.crypto_options = crypto_options_; [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:22, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'webrtc::RTCError cricket::WebRtcVideoChannel::WebRtcVideoSendStream::SetRtpParameters(const webrtc::RtpParameters&)': [ 956s] ../../../../media/engine/webrtc_video_engine.cc:2006:21: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 2006 | rtp_parameters_ = new_parameters; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:24, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:24, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:20, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:24, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 956s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [778/1909] CXX obj/modules/video_coding/video_coding/inter_frame_delay.o [ 956s] [779/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_header_extensions.o [ 956s] [780/1909] CXX obj/modules/video_coding/video_codec_interface/video_codec_interface.o [ 956s] [781/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_header_extension_map.o [ 956s] [782/1909] CXX obj/modules/video_coding/video_coding/fec_controller_default.o [ 956s] [783/1909] CXX obj/modules/video_coding/video_coding/codec_timer.o [ 956s] [784/1909] CXX obj/modules/rtp_rtcp/rtp_video_header/rtp_video_header.o [ 956s] [785/1909] CXX obj/modules/video_coding/video_coding/loss_notification_controller.o [ 956s] [786/1909] CXX obj/modules/video_processing/video_processing_neon/denoiser_filter_neon.o [ 956s] [787/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sender_video.o [ 956s] [788/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/transport_feedback.o [ 956s] [789/1909] CXX obj/modules/video_coding/video_coding_utility/vp8_header_parser.o [ 956s] [790/1909] CXX obj/modules/video_capture/video_capture_module/device_info_impl.o [ 956s] [791/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtcp_sender.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:20: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc: In member function 'std::unique_ptr webrtc::RTCPSender::BuildLossNotification(const webrtc::RTCPSender::RtcpContext&)': [ 956s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:612:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 612 | return std::move(loss_notification); [ 956s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:612:19: note: remove 'std::move' call [ 956s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc: In member function 'std::unique_ptr webrtc::RTCPSender::BuildExtendedReports(const webrtc::RTCPSender::RtcpContext&)': [ 956s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:673:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 673 | return std::move(xr); [ 956s] | ~~~~~~~~~^~~~ [ 956s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:673:19: note: remove 'std::move' call [ 956s] [792/1909] CXX obj/modules/video_coding/video_coding/timestamp_map.o [ 956s] [793/1909] CXX obj/modules/video_coding/video_coding_utility/frame_dropper.o [ 956s] [794/1909] CXX obj/modules/video_capture/video_capture_internal_impl/device_info_linux.o [ 956s] [795/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtcp_receiver.o [ 956s] [796/1909] CXX obj/modules/video_coding/video_coding/h264_sprop_parameter_sets.o [ 956s] [797/1909] CXX obj/modules/utility/utility/process_thread_impl.o [ 956s] [798/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_packet_received.o [ 956s] [799/1909] CXX obj/modules/video_coding/encoded_frame/encoded_frame.o [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/encoded_frame.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/encoded_image.h:17, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 956s] from ../../../../modules/video_coding/encoded_frame.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/encoded_frame.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [800/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_packet.o [ 956s] [801/1909] CXX obj/modules/video_coding/video_coding_utility/framerate_controller.o [ 956s] [802/1909] CXX obj/modules/video_coding/video_coding/receiver.o [ 956s] In file included from ../../../../modules/video_coding/receiver.cc:21: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/receiver.cc:21: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/video_frame.h:16, [ 956s] from ../../../../modules/video_coding/include/video_coding.h:15, [ 956s] from ../../../../modules/video_coding/receiver.h:17, [ 956s] from ../../../../modules/video_coding/receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/receiver.cc:21: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [803/1909] CXX obj/modules/video_coding/video_coding/media_opt_util.o [ 956s] [804/1909] CXX obj/modules/video_capture/video_capture_internal_impl/video_capture_linux.o [ 956s] [805/1909] CXX obj/modules/video_coding/video_coding_utility/default_video_bitrate_allocator.o [ 956s] [806/1909] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_packet_to_send.o [ 956s] [807/1909] CXX obj/modules/video_coding/video_coding/timing.o [ 956s] [808/1909] CXX obj/modules/video_coding/video_coding_utility/simulcast_utility.o [ 956s] [809/1909] CXX obj/modules/video_coding/video_coding/jitter_estimator.o [ 956s] [810/1909] CXX obj/modules/video_coding/video_coding/video_codec_initializer.o [ 956s] [811/1909] CXX obj/modules/video_coding/video_coding/frame_buffer.o [ 956s] In file included from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/encoded_image.h:17, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [812/1909] CXX obj/modules/video_coding/webrtc_h264/h264.o [ 956s] [813/1909] CXX obj/modules/video_coding/video_coding/session_info.o [ 956s] [814/1909] CXX obj/modules/video_coding/video_coding_utility/simulcast_rate_allocator.o [ 956s] [815/1909] CXX obj/modules/video_coding/video_coding/decoding_state.o [ 956s] In file included from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/decoding_state.cc:15: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/decoding_state.cc:15: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/decoding_state.cc:14: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/decoding_state.cc:15: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [816/1909] CXX obj/modules/video_coding/video_coding/decoder_database.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:16, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [817/1909] CXX obj/modules/video_coding/webrtc_h264/h264_color_space.o [ 956s] [818/1909] CXX obj/modules/video_coding/video_coding/generic_decoder.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:16, [ 956s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [819/1909] CXX obj/modules/video_coding/webrtc_h264/h264_decoder_impl.o [ 956s] [820/1909] CXX obj/modules/video_coding/webrtc_h264/h264_encoder_impl.o [ 956s] [821/1909] CXX obj/p2p/rtc_p2p/basic_async_resolver_factory.o [ 956s] [822/1909] CXX obj/p2p/rtc_p2p/transport_description.o [ 956s] [823/1909] CXX obj/modules/video_coding/video_coding/packet_buffer.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:19: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:19: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/packet_buffer.h:21, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../modules/video_coding/packet.h: In member function 'webrtc::VCMPacket& webrtc::VCMPacket::operator=(const webrtc::VCMPacket&)': [ 956s] ../../../../modules/video_coding/packet.h:34:7: warning: implicitly-declared 'webrtc::RTPVideoHeader& webrtc::RTPVideoHeader::operator=(const webrtc::RTPVideoHeader&)' is deprecated [-Wdeprecated-copy] [ 956s] 34 | class VCMPacket { [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../modules/include/module_common_types.h:22, [ 956s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../modules/rtp_rtcp/source/rtp_video_header.h:51:3: note: because 'webrtc::RTPVideoHeader' has user-provided 'webrtc::RTPVideoHeader::RTPVideoHeader(const webrtc::RTPVideoHeader&)' [ 956s] 51 | RTPVideoHeader(const RTPVideoHeader& other); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] ../../../../modules/video_coding/packet_buffer.cc: In member function 'virtual bool webrtc::video_coding::PacketBuffer::InsertPacket(webrtc::VCMPacket*)': [ 956s] ../../../../modules/video_coding/packet_buffer.cc:121:28: note: synthesized method 'webrtc::VCMPacket& webrtc::VCMPacket::operator=(const webrtc::VCMPacket&)' first required here [ 956s] 121 | data_buffer_[index] = *packet; [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:19: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RTPVideoHeader::GenericDescriptorInfo&; T = webrtc::RTPVideoHeader::GenericDescriptorInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RTPVideoHeader::GenericDescriptorInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RTPVideoHeader::GenericDescriptorInfo& webrtc::RTPVideoHeader::GenericDescriptorInfo::operator=(const webrtc::RTPVideoHeader::GenericDescriptorInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/include/module_common_types.h:22, [ 956s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../modules/rtp_rtcp/source/rtp_video_header.h:39:5: note: because 'webrtc::RTPVideoHeader::GenericDescriptorInfo' has user-provided 'webrtc::RTPVideoHeader::GenericDescriptorInfo::GenericDescriptorInfo(const webrtc::RTPVideoHeader::GenericDescriptorInfo&)' [ 956s] 39 | GenericDescriptorInfo(const GenericDescriptorInfo& other); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpGenericFrameDescriptor&; T = webrtc::RtpGenericFrameDescriptor]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpGenericFrameDescriptor]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpGenericFrameDescriptor& webrtc::RtpGenericFrameDescriptor::operator=(const webrtc::RtpGenericFrameDescriptor&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/packet.h:20, [ 956s] from ../../../../modules/video_coding/packet_buffer.h:21, [ 956s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 956s] ../../../../modules/rtp_rtcp/source/rtp_generic_frame_descriptor.h:32:3: note: because 'webrtc::RtpGenericFrameDescriptor' has user-provided 'webrtc::RtpGenericFrameDescriptor::RtpGenericFrameDescriptor(const webrtc::RtpGenericFrameDescriptor&)' [ 956s] 32 | RtpGenericFrameDescriptor(const RtpGenericFrameDescriptor&); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~~~~~ [ 956s] [824/1909] CXX obj/p2p/rtc_p2p/connection_info.o [ 956s] [825/1909] CXX obj/p2p/rtc_p2p/transport_description_factory.o [ 956s] [826/1909] CXX obj/modules/video_coding/nack_module/nack_module.o [ 956s] [827/1909] CXX obj/modules/video_coding/video_coding/video_coding_impl.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/video_frame.h:16, [ 956s] from ../../../../modules/video_coding/include/video_coding.h:15, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:14, [ 956s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [828/1909] CXX obj/modules/video_coding/video_coding/h264_sps_pps_tracker.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:20: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:20: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/h264_sps_pps_tracker.h:19, [ 956s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:20: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [829/1909] CXX obj/modules/video_processing/video_processing/denoiser_filter.o [ 956s] [830/1909] CXX obj/modules/video_coding/video_coding/video_receiver.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_receiver.cc:20: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_receiver.cc:20: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/video_coding/video_receiver.cc:15: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_receiver.cc:20: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [831/1909] CXX obj/modules/video_coding/webrtc_multiplex/augmented_video_frame_buffer.o [ 956s] [832/1909] CXX obj/p2p/rtc_p2p/ice_credentials_iterator.o [ 956s] [833/1909] CXX obj/p2p/rtc_p2p/basic_packet_socket_factory.o [ 956s] [834/1909] CXX obj/p2p/rtc_p2p/p2p_constants.o [ 956s] [835/1909] CXX obj/p2p/rtc_p2p/stun_request.o [ 956s] [836/1909] CXX obj/p2p/rtc_p2p/regathering_controller.o [ 956s] [837/1909] CXX obj/modules/video_coding/video_coding/jitter_buffer.o [ 956s] In file included from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/jitter_buffer.cc:19: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/jitter_buffer.cc:19: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/jitter_buffer.h:20, [ 956s] from ../../../../modules/video_coding/jitter_buffer.cc:10: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 956s] from ../../../../modules/video_coding/jitter_buffer.cc:19: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [838/1909] CXX obj/p2p/rtc_p2p/turn_port_factory.o [ 956s] ../../../../p2p/client/turn_port_factory.cc: In member function 'virtual std::unique_ptr cricket::TurnPortFactory::Create(const cricket::CreateRelayPortArgs&, rtc::AsyncPacketSocket*)': [ 956s] ../../../../p2p/client/turn_port_factory.cc:32:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 32 | return std::move(port); [ 956s] | ~~~~~~~~~^~~~~~ [ 956s] ../../../../p2p/client/turn_port_factory.cc:32:19: note: remove 'std::move' call [ 956s] ../../../../p2p/client/turn_port_factory.cc: In member function 'virtual std::unique_ptr cricket::TurnPortFactory::Create(const cricket::CreateRelayPortArgs&, int, int)': [ 956s] ../../../../p2p/client/turn_port_factory.cc:45:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 45 | return std::move(port); [ 956s] | ~~~~~~~~~^~~~~~ [ 956s] ../../../../p2p/client/turn_port_factory.cc:45:19: note: remove 'std::move' call [ 956s] [839/1909] CXX obj/modules/video_coding/webrtc_vp9_helpers/svc_config.o [ 956s] [840/1909] CXX obj/modules/video_processing/video_processing/video_denoiser.o [ 956s] ../../../../modules/video_processing/video_denoiser.cc: In member function 'void webrtc::VideoDenoiser::CopySrcOnMOB(const uint8_t*, int, webrtc::uint8_t*, int)': [ 956s] ../../../../modules/video_processing/video_denoiser.cc:194:31: warning: '*' in boolean context, suggest '&&' instead [-Wint-in-bool-context] [ 956s] 194 | (x_density_[mb_col] * y_density_[mb_row] && [ 956s] [841/1909] CXX obj/modules/video_coding/video_coding_utility/vp9_uncompressed_header_parser.o [ 956s] [842/1909] CXX obj/modules/video_coding/webrtc_vp8_temporal_layers/temporal_layers_checker.o [ 956s] ../../../../modules/video_coding/codecs/vp8/temporal_layers_checker.cc: In static member function 'static std::unique_ptr webrtc::TemporalLayersChecker::CreateTemporalLayersChecker(webrtc::Vp8TemporalLayersType, int)': [ 956s] ../../../../modules/video_coding/codecs/vp8/temporal_layers_checker.cc:30:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 30 | } [ 956s] | ^ [ 956s] [843/1909] CXX obj/p2p/rtc_p2p/packet_socket_factory.o [ 956s] [844/1909] CXX obj/modules/video_coding/webrtc_vp9_helpers/svc_rate_allocator.o [ 956s] [845/1909] CXX obj/p2p/rtc_p2p/stun.o [ 956s] [846/1909] CXX obj/p2p/rtc_p2p/ice_transport_internal.o [ 956s] [847/1909] CXX obj/modules/video_coding/video_coding/rtp_frame_reference_finder.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:17: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:17: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/video_coding/rtp_frame_reference_finder.h:21, [ 956s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:17: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] ../../../../modules/video_coding/rtp_frame_reference_finder.cc: In member function 'void webrtc::video_coding::RtpFrameReferenceFinder::RetryStashedFrames()': [ 956s] ../../../../modules/video_coding/rtp_frame_reference_finder.cc:76:43: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 956s] 76 | frame_callback_->OnCompleteFrame(std::move(*frame_it)); [ 956s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../modules/video_coding/rtp_frame_reference_finder.cc:78:9: note: here [ 956s] 78 | case kDrop: [ 956s] | ^~~~ [ 956s] [848/1909] CXX obj/modules/video_coding/video_coding/frame_buffer2.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/video/encoded_image.h:17, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [849/1909] CXX obj/p2p/rtc_p2p/dtls_transport_internal.o [ 956s] [850/1909] CXX obj/modules/video_coding/webrtc_multiplex/multiplex_encoded_image_packer.o [ 956s] [851/1909] CXX obj/modules/video_coding/video_coding_utility/ivf_file_writer.o [ 956s] [852/1909] CXX obj/p2p/rtc_p2p/port_interface.o [ 956s] [853/1909] CXX obj/p2p/rtc_p2p/tcp_port.o [ 956s] [854/1909] CXX obj/p2p/rtc_p2p/async_stun_tcp_socket.o [ 956s] [855/1909] CXX obj/pc/peerconnection/jsep_ice_candidate.o [ 956s] In file included from ../../../../pc/jsep_ice_candidate.cc:11: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../api/jsep_ice_candidate.h:21, [ 956s] from ../../../../pc/jsep_ice_candidate.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] [856/1909] CXX obj/rtc_base/criticalsection/critical_section.o [ 956s] [857/1909] CXX obj/p2p/rtc_p2p/datagram_dtls_adaptor.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../p2p/base/datagram_dtls_adaptor.cc:22: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [858/1909] CXX obj/pc/peerconnection/local_audio_source.o [ 956s] [859/1909] CXX obj/pc/peerconnection/jitter_buffer_delay.o [ 956s] [860/1909] CXX obj/pc/rtc_pc_base/simulcast_description.o [ 956s] [861/1909] CXX obj/p2p/rtc_p2p/relay_port.o [ 956s] [862/1909] CXX obj/modules/video_coding/webrtc_vp8_temporal_layers/screenshare_layers.o [ 956s] [863/1909] CXX obj/p2p/rtc_p2p/stun_port.o [ 956s] [864/1909] CXX obj/p2p/rtc_p2p/packet_transport_internal.o [ 956s] [865/1909] CXX obj/p2p/rtc_p2p/mdns_message.o [ 956s] [866/1909] CXX obj/p2p/rtc_p2p/pseudo_tcp.o [ 956s] [867/1909] CXX obj/pc/peerconnection/dtmf_sender.o [ 956s] [868/1909] CXX obj/pc/peerconnection/rtc_stats_traversal.o [ 956s] [869/1909] CXX obj/pc/peerconnection/media_stream.o [ 956s] [870/1909] CXX obj/p2p/rtc_p2p/no_op_dtls_transport.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../p2p/base/no_op_dtls_transport.cc:20: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [871/1909] CXX obj/pc/rtc_pc_base/srtp_session.o [ 956s] [872/1909] CXX obj/p2p/libstunprober/stun_prober.o [ 956s] [873/1909] CXX obj/pc/peerconnection/sctp_utils.o [ 956s] [874/1909] STAMP obj/pc/media_protocol_names.stamp [ 956s] [875/1909] CXX obj/modules/video_coding/webrtc_multiplex/multiplex_decoder_adapter.o [ 956s] [876/1909] CXX obj/rtc_base/platform_thread_types/platform_thread_types.o [ 956s] [877/1909] CXX obj/pc/peerconnection/media_stream_observer.o [ 956s] [878/1909] STAMP obj/rtc_base/platform_thread_types.stamp [ 956s] [879/1909] CXX obj/p2p/rtc_p2p/connection.o [ 956s] ../../../../p2p/base/connection.cc: In member function 'void cricket::Connection::MaybeUpdatePeerReflexiveCandidate(const cricket::Candidate&)': [ 956s] ../../../../p2p/base/connection.cc:955:25: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 955 | remote_candidate_ = new_candidate; [ 956s] | ^~~~~~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/connection.h:18, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../p2p/base/connection.cc: In member function 'void cricket::Connection::CopyCandidatesToStatsAndSanitizeIfNecessary()': [ 956s] ../../../../p2p/base/connection.cc:1075:66: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 1075 | stats_.local_candidate = get_sanitized_copy(local_candidate()); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/connection.h:18, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../p2p/base/connection.cc:1077:46: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 1077 | stats_.local_candidate = local_candidate(); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/connection.h:18, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../p2p/base/connection.cc:1089:68: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 1089 | stats_.remote_candidate = get_sanitized_copy(remote_candidate()); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/connection.h:18, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../p2p/base/connection.cc:1091:48: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 1091 | stats_.remote_candidate = remote_candidate(); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/connection.h:18, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../p2p/base/connection.h:17, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = webrtc::IceCandidatePairDescription; T = webrtc::IceCandidatePairDescription]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:292:5: required from 'absl::optional& absl::optional::operator=(U&&) [with U = webrtc::IceCandidatePairDescription; = void; T = webrtc::IceCandidatePairDescription]' [ 956s] ../../../../p2p/base/connection.cc:817:58: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::IceCandidatePairDescription& webrtc::IceCandidatePairDescription::operator=(const webrtc::IceCandidatePairDescription&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../logging/rtc_event_log/ice_logger.h:17, [ 956s] from ../../../../p2p/base/connection.h:19, [ 956s] from ../../../../p2p/base/connection.cc:11: [ 956s] ../../../../logging/rtc_event_log/events/rtc_event_ice_candidate_pair_config.h:69:12: note: because 'webrtc::IceCandidatePairDescription' has user-provided 'webrtc::IceCandidatePairDescription::IceCandidatePairDescription(const webrtc::IceCandidatePairDescription&)' [ 956s] 69 | explicit IceCandidatePairDescription( [ 956s] | ^~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 956s] [880/1909] CXX obj/p2p/rtc_p2p/dtls_transport.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../p2p/base/dtls_transport.cc:20: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [881/1909] CXX obj/p2p/rtc_p2p/port_allocator.o [ 956s] ../../../../p2p/base/port_allocator.cc: In member function 'virtual void cricket::PortAllocatorSession::GetCandidateStatsFromReadyPorts(cricket::CandidateStatsList*) const': [ 956s] ../../../../p2p/base/port_allocator.cc:100:57: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 100 | use_hostname_address, filter_related_address); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/port.h:21, [ 956s] from ../../../../p2p/base/port_allocator.h:19, [ 956s] from ../../../../p2p/base/port_allocator.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] [882/1909] CXX obj/pc/peerconnection/video_track.o [ 956s] [883/1909] CXX obj/rtc_base/platform_thread/platform_thread.o [ 956s] [884/1909] CXX obj/p2p/rtc_p2p/port.o [ 956s] ../../../../p2p/base/port.cc: In constructor 'cricket::CandidateStats::CandidateStats(cricket::Candidate)': [ 956s] ../../../../p2p/base/port.cc:111:21: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 111 | this->candidate = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/port.h:21, [ 956s] from ../../../../p2p/base/port.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] [885/1909] CXX obj/p2p/rtc_p2p/turn_port.o [ 956s] [886/1909] STAMP obj/rtc_base/protobuf_utils.stamp [ 956s] [887/1909] CXX obj/rtc_base/rtc_base/null_socket_server.o [ 956s] [888/1909] CXX obj/pc/rtc_pc_base/srtp_filter.o [ 956s] In file included from ../../../../pc/srtp_filter.h:24, [ 956s] from ../../../../pc/srtp_filter.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [889/1909] CXX obj/modules/video_coding/webrtc_vp8_temporal_layers/default_temporal_layers.o [ 956s] [890/1909] CXX obj/pc/rtc_pc_base/rtp_media_utils.o [ 956s] [891/1909] CXX obj/pc/peerconnection/ice_server_parsing.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/ice_server_parsing.h:16, [ 956s] from ../../../../pc/ice_server_parsing.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [892/1909] CXX obj/rtc_base/rtc_base/network_monitor.o [ 956s] [893/1909] CXX obj/rtc_base/rtc_base/async_socket.o [ 956s] [894/1909] CXX obj/pc/peerconnection/video_track_source.o [ 956s] [895/1909] CXX obj/pc/peerconnection/rtp_receiver.o [ 956s] [896/1909] CXX obj/pc/rtc_pc_base/dtls_transport.o [ 956s] ../../../../pc/dtls_transport.cc: In function 'webrtc::DtlsTransportState webrtc::{anonymous}::TranslateState(cricket::DtlsTransportState)': [ 956s] ../../../../pc/dtls_transport.cc:39:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 39 | } [ 956s] | ^ [ 956s] [897/1909] CXX obj/rtc_base/rtc_base/openssl_certificate.o [ 956s] [898/1909] CXX obj/pc/peerconnection/jsep_session_description.o [ 956s] In file included from ../../../../api/jsep_session_description.h:24, [ 956s] from ../../../../pc/jsep_session_description.cc:11: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../api/jsep_session_description.h:22, [ 956s] from ../../../../pc/jsep_session_description.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/dtls_srtp_transport.h:21, [ 956s] from ../../../../pc/jsep_transport.h:26, [ 956s] from ../../../../pc/media_session.h:26, [ 956s] from ../../../../pc/jsep_session_description.cc:17: [ 956s] ../../../../pc/session_description.h: At global scope: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/jsep_session_description.cc: In function 'std::unique_ptr webrtc::CreateSessionDescription(webrtc::SdpType, const string&, webrtc::SdpParseError*)': [ 956s] ../../../../pc/jsep_session_description.cc:143:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 143 | return std::move(jsep_desc); [ 956s] | ~~~~~~~~~^~~~~~~~~~~ [ 956s] ../../../../pc/jsep_session_description.cc:143:19: note: remove 'std::move' call [ 956s] ../../../../pc/jsep_session_description.cc: In function 'std::unique_ptr webrtc::CreateSessionDescription(webrtc::SdpType, const string&, const string&, std::unique_ptr)': [ 956s] ../../../../pc/jsep_session_description.cc:155:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 155 | return std::move(jsep_description); [ 956s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/jsep_session_description.cc:155:19: note: remove 'std::move' call [ 956s] [899/1909] STAMP obj/rtc_base/gtest_prod.stamp [ 956s] [900/1909] STAMP obj/rtc_base/deprecation.stamp [ 956s] [901/1909] STAMP obj/rtc_base/compile_assert_c.stamp [ 956s] [902/1909] STAMP obj/modules/audio_coding/audio_coding_module_typedefs.stamp [ 956s] [903/1909] CXX obj/rtc_base/rtc_base/async_udp_socket.o [ 956s] [904/1909] CXX obj/pc/peerconnection/sdp_utils.o [ 956s] In file included from ../../../../pc/sdp_utils.h:19, [ 956s] from ../../../../pc/sdp_utils.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../api/jsep_session_description.h:24, [ 956s] from ../../../../pc/sdp_utils.cc:17: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/transport_info.h:17, [ 956s] from ../../../../pc/session_description.h:29, [ 956s] from ../../../../pc/sdp_utils.h:19, [ 956s] from ../../../../pc/sdp_utils.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../pc/sdp_utils.cc: In function 'std::unique_ptr webrtc::CloneSessionDescriptionAsType(const webrtc::SessionDescriptionInterface*, webrtc::SdpType)': [ 956s] ../../../../pc/sdp_utils.cc:37:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 37 | return std::move(clone); [ 956s] | ~~~~~~~~~^~~~~~~ [ 956s] ../../../../pc/sdp_utils.cc:37:19: note: remove 'std::move' call [ 956s] [905/1909] CXX obj/p2p/rtc_p2p/basic_port_allocator.o [ 956s] [906/1909] CXX obj/rtc_base/rtc_base/async_tcp_socket.o [ 956s] [907/1909] CXX obj/rtc_base/checks/checks.o [ 956s] [908/1909] CXX obj/pc/peerconnection/remote_audio_source.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/remote_audio_source.h:19, [ 956s] from ../../../../pc/remote_audio_source.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [909/1909] CXX obj/pc/rtc_pc_base/ice_transport.o [ 956s] [910/1909] CXX obj/pc/rtc_pc_base/rtcp_mux_filter.o [ 956s] In file included from ../../../../pc/rtcp_mux_filter.h:14, [ 956s] from ../../../../pc/rtcp_mux_filter.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [911/1909] CXX obj/rtc_base/rtc_base/openssl_adapter.o [ 956s] [912/1909] CXX obj/rtc_base/rtc_base/proxy_info.o [ 956s] [913/1909] CXX obj/pc/rtc_pc_base/external_hmac.o [ 956s] [914/1909] CXX obj/rtc_base/rtc_base/socket.o [ 956s] [915/1909] CXX obj/pc/peerconnection/sdp_serializer.o [ 956s] In file included from ../../../../pc/sdp_serializer.h:19, [ 956s] from ../../../../pc/sdp_serializer.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/sdp_serializer.cc: In function 'webrtc::RTCErrorOr webrtc::{anonymous}::ParseSimulcastLayerList(const string&)': [ 956s] ../../../../pc/sdp_serializer.cc:135:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 135 | return std::move(result); [ 956s] | ~~~~~~~~~^~~~~~~~ [ 956s] ../../../../pc/sdp_serializer.cc:135:19: note: remove 'std::move' call [ 956s] ../../../../pc/sdp_serializer.cc: In member function 'webrtc::RTCErrorOr webrtc::SdpSerializer::DeserializeSimulcastDescription(absl::string_view) const': [ 956s] ../../../../pc/sdp_serializer.cc:261:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 261 | return std::move(simulcast); [ 956s] | ~~~~~~~~~^~~~~~~~~~~ [ 956s] ../../../../pc/sdp_serializer.cc:261:19: note: remove 'std::move' call [ 956s] ../../../../pc/sdp_serializer.cc: In member function 'webrtc::RTCErrorOr webrtc::SdpSerializer::DeserializeRidDescription(absl::string_view) const': [ 956s] ../../../../pc/sdp_serializer.cc:371:27: warning: redundant move in return statement [-Wredundant-move] [ 956s] 371 | return std::move(error); [ 956s] | ~~~~~~~~~^~~~~~~ [ 956s] ../../../../pc/sdp_serializer.cc:371:27: note: remove 'std::move' call [ 956s] ../../../../pc/sdp_serializer.cc:388:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 388 | return std::move(rid_description); [ 956s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/sdp_serializer.cc:388:19: note: remove 'std::move' call [ 956s] [916/1909] CXX obj/rtc_base/audio_format_to_string/audio_format_to_string.o [ 956s] [917/1909] CXX obj/rtc_base/rtc_base/openssl_digest.o [ 956s] [918/1909] CXX obj/pc/rtc_pc_base/composite_rtp_transport.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/composite_rtp_transport.h:20, [ 956s] from ../../../../pc/composite_rtp_transport.cc:14: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [919/1909] CXX obj/rtc_base/logging/logging.o [ 956s] [920/1909] CXX obj/rtc_base/rtc_base/rtc_certificate.o [ 956s] [921/1909] CXX obj/rtc_base/rtc_base/openssl_session_cache.o [ 956s] [922/1909] CXX obj/rtc_base/rtc_base/rtc_certificate_generator.o [ 956s] [923/1909] CXX obj/rtc_base/rtc_base/openssl_identity.o [ 956s] [924/1909] CXX obj/pc/rtc_pc_base/session_description.o [ 956s] In file included from ../../../../pc/session_description.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [925/1909] CXX obj/pc/peerconnection/rtp_parameters_conversion.o [ 956s] In file included from ../../../../pc/rtp_parameters_conversion.h:22, [ 956s] from ../../../../pc/rtp_parameters_conversion.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/rtp_parameters_conversion.cc: In function 'webrtc::RTCErrorOr > webrtc::ToCricketRtpHeaderExtensions(const std::vector&)': [ 956s] ../../../../pc/rtp_parameters_conversion.cc:223:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 223 | return std::move(cricket_extensions); [ 956s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:223:19: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc: In function 'webrtc::RTCErrorOr > webrtc::ToCricketStreamParamsVec(const std::vector&)': [ 956s] ../../../../pc/rtp_parameters_conversion.cc:250:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 250 | return std::move(cricket_streams); [ 956s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:250:19: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr webrtc::ToCricketCodec(const webrtc::RtpCodecParameters&) [with C = cricket::AudioCodec]': [ 956s] ../../../../pc/rtp_parameters_conversion.cc:172:36: required from here [ 956s] ../../../../pc/rtp_parameters_conversion.cc:150:25: warning: redundant move in return statement [-Wredundant-move] [ 956s] 150 | return std::move(err); [ 956s] | ^ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:150:25: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc:168:33: warning: redundant move in return statement [-Wredundant-move] [ 956s] 168 | return std::move(cricket_codec); [ 956s] | ^ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:168:33: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr webrtc::ToCricketCodec(const webrtc::RtpCodecParameters&) [with C = cricket::VideoCodec]': [ 956s] ../../../../pc/rtp_parameters_conversion.cc:174:36: required from here [ 956s] ../../../../pc/rtp_parameters_conversion.cc:150:25: warning: redundant move in return statement [-Wredundant-move] [ 956s] 150 | return std::move(err); [ 956s] | ^ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:150:25: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc:168:33: warning: redundant move in return statement [-Wredundant-move] [ 956s] 168 | return std::move(cricket_codec); [ 956s] | ^ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:168:33: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr > webrtc::ToCricketCodecs(const std::vector&) [with C = cricket::AudioCodec]': [ 956s] ../../../../pc/rtp_parameters_conversion.cc:198:71: required from here [ 956s] ../../../../pc/rtp_parameters_conversion.cc:194:34: warning: redundant move in return statement [-Wredundant-move] [ 956s] 194 | return std::move(cricket_codecs); [ 956s] | ^ [ 956s] ../../../../pc/rtp_parameters_conversion.cc:194:34: note: remove 'std::move' call [ 956s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr > webrtc::ToCricketCodecs(const std::vector&) [with C = cricket::VideoCodec]': [ 956s] ../../../../pc/rtp_parameters_conversion.cc:201:71: required from here [ 956s] ../../../../pc/rtp_parameters_conversion.cc:194:34: warning: redundant move in return statement [-Wredundant-move] [ 956s] ../../../../pc/rtp_parameters_conversion.cc:194:34: note: remove 'std::move' call [ 956s] [926/1909] CXX obj/rtc_base/rtc_base/net_helper.o [ 956s] [927/1909] CXX obj/rtc_base/rtc_base/openssl_utility.o [ 956s] [928/1909] CXX obj/rtc_base/rtc_base/network.o [ 956s] [929/1909] CXX obj/rtc_base/rtc_base_approved/location.o [ 956s] [930/1909] CXX obj/rtc_base/rtc_base/socket_address.o [ 956s] [931/1909] CXX obj/rtc_base/rtc_base_approved/platform_file.o [ 956s] [932/1909] CXX obj/rtc_base/rtc_base/message_digest.o [ 956s] [933/1909] CXX obj/pc/peerconnection/video_rtp_receiver.o [ 956s] In file included from ../../../../api/proxy.h:61, [ 956s] from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../pc/video_rtp_receiver.h:23, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../rtc_base/message_handler.h: In instantiation of 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::VideoRtpReceiver::GetParameters() const::]': [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../rtc_base/message_handler.h:42:50: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 956s] In file included from ../../../../pc/video_rtp_receiver.h:22, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 622 | struct RTC_EXPORT RtpParameters { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 956s] 589 | RtcpParameters(const RtcpParameters&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/proxy.h:61, [ 956s] from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../pc/video_rtp_receiver.h:23, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../rtc_base/message_handler.h:42:50: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 956s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../pc/video_rtp_receiver.h:18, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::VideoRtpReceiver::GetParameters() const::]' [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../pc/video_rtp_receiver.h:22, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../pc/video_rtp_receiver.h:18, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::VideoRtpReceiver::GetParameters() const::]' [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../pc/video_rtp_receiver.h:22, [ 956s] from ../../../../pc/video_rtp_receiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [934/1909] CXX obj/rtc_base/rtc_base/message_handler.o [ 956s] [935/1909] CXX obj/rtc_base/rtc_base/signal_thread.o [ 956s] [936/1909] CXX obj/rtc_base/rtc_base/ip_address.o [ 956s] [937/1909] CXX obj/pc/peerconnection/track_media_info_map.o [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/track_media_info_map.h:19, [ 956s] from ../../../../pc/track_media_info_map.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../media/base/media_channel.h:27, [ 956s] from ../../../../pc/track_media_info_map.h:20, [ 956s] from ../../../../pc/track_media_info_map.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/track_media_info_map.h:19, [ 956s] from ../../../../pc/track_media_info_map.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../media/base/media_channel.h:27, [ 956s] from ../../../../pc/track_media_info_map.h:20, [ 956s] from ../../../../pc/track_media_info_map.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [938/1909] CXX obj/rtc_base/rtc_base/socket_address_pair.o [ 956s] [939/1909] CXX obj/p2p/rtc_p2p/p2p_transport_channel.o [ 956s] ../../../../p2p/base/p2p_transport_channel.cc: In member function 'void cricket::P2PTransportChannel::OnUnknownAddress(cricket::PortInterface*, const rtc::SocketAddress&, cricket::ProtocolType, cricket::IceMessage*, const string&, bool)': [ 956s] ../../../../p2p/base/p2p_transport_channel.cc:941:25: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 941 | remote_candidate = *candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 956s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../p2p/base/p2p_transport_channel.cc:975:37: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 975 | "", network_id, network_cost); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 956s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] ../../../../p2p/base/p2p_transport_channel.h: In instantiation of '_ForwardIterator std::__remove_if(_ForwardIterator, _ForwardIterator, _Predicate) [with _ForwardIterator = __gnu_cxx::__normal_iterator >; _Predicate = __gnu_cxx::__ops::_Iter_pred >]': [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:939:30: required from '_FIter std::remove_if(_FIter, _FIter, _Predicate) [with _FIter = __gnu_cxx::__normal_iterator >; _Predicate = cricket::P2PTransportChannel::RemoveRemoteCandidate(const cricket::Candidate&)::]' [ 956s] ../../../../p2p/base/p2p_transport_channel.cc:1226:23: required from here [ 956s] ../../../../p2p/base/p2p_transport_channel.h:67:7: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 67 | class RemoteCandidate : public Candidate { [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 956s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 956s] from ../../../../p2p/base/p2p_transport_channel.h:23, [ 956s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:871:16: note: synthesized method 'cricket::RemoteCandidate& cricket::RemoteCandidate::operator=(cricket::RemoteCandidate&&)' first required here [ 956s] 871 | *__result = _GLIBCXX_MOVE(*__first); [ 956s] | ^ [ 956s] In file included from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] ../../../../p2p/base/p2p_transport_channel.h: In instantiation of 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = cricket::P2PTransportChannel::CandidateAndResolver*; _OI = cricket::P2PTransportChannel::CandidateAndResolver*]': [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = true; _II = cricket::P2PTransportChannel::CandidateAndResolver*; _OI = cricket::P2PTransportChannel::CandidateAndResolver*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = true; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:505:39: required from '_OI std::move(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:175:2: required from 'std::vector<_Tp, _Alloc>::iterator std::vector<_Tp, _Alloc>::_M_erase(std::vector<_Tp, _Alloc>::iterator) [with _Tp = cricket::P2PTransportChannel::CandidateAndResolver; _Alloc = std::allocator; std::vector<_Tp, _Alloc>::iterator = __gnu_cxx::__normal_iterator >; typename std::_Vector_base<_Tp, _Alloc>::pointer = cricket::P2PTransportChannel::CandidateAndResolver*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1428:58: required from 'std::vector<_Tp, _Alloc>::iterator std::vector<_Tp, _Alloc>::erase(std::vector<_Tp, _Alloc>::const_iterator) [with _Tp = cricket::P2PTransportChannel::CandidateAndResolver; _Alloc = std::allocator; std::vector<_Tp, _Alloc>::iterator = __gnu_cxx::__normal_iterator >; typename std::_Vector_base<_Tp, _Alloc>::pointer = cricket::P2PTransportChannel::CandidateAndResolver*; std::vector<_Tp, _Alloc>::const_iterator = __gnu_cxx::__normal_iterator >; typename __gnu_cxx::__alloc_traits::_Tp_alloc_type>::const_pointer = const cricket::P2PTransportChannel::CandidateAndResolver*]' [ 956s] ../../../../p2p/base/p2p_transport_channel.cc:1163:21: required from here [ 956s] ../../../../p2p/base/p2p_transport_channel.h:477:10: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 477 | struct CandidateAndResolver final { [ 956s] | ^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 956s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:61, [ 956s] from ../../../../p2p/base/p2p_transport_channel.h:23, [ 956s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:361:18: note: synthesized method 'cricket::P2PTransportChannel::CandidateAndResolver& cricket::P2PTransportChannel::CandidateAndResolver::operator=(const cricket::P2PTransportChannel::CandidateAndResolver&)' first required here [ 956s] 361 | *__result = std::move(*__first); [ 956s] | ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~ [ 956s] [940/1909] CXX obj/rtc_base/rtc_base_approved/race_checker.o [ 956s] [941/1909] CXX obj/rtc_base/rtc_base/net_helpers.o [ 956s] [942/1909] CXX obj/rtc_base/rtc_base_approved/random.o [ 956s] [943/1909] CXX obj/rtc_base/rtc_base/http_common.o [ 956s] [944/1909] CXX obj/rtc_base/rtc_base/socket_adapters.o [ 956s] [945/1909] CXX obj/rtc_base/rtc_base_approved/sample_counter.o [ 956s] [946/1909] CXX obj/pc/rtc_pc_base/sctp_transport.o [ 956s] [947/1909] CXX obj/rtc_base/rtc_base_approved/zero_memory.o [ 956s] [948/1909] CXX obj/rtc_base/rtc_base_approved/rate_statistics.o [ 956s] [949/1909] CXX obj/rtc_base/rtc_base/openssl_stream_adapter.o [ 956s] [950/1909] CXX obj/rtc_base/rtc_base_approved/histogram_percentile_counter.o [ 956s] [951/1909] CXX obj/rtc_base/rtc_base_approved/rate_tracker.o [ 956s] [952/1909] CXX obj/rtc_base/rtc_base/ifaddrs_converter.o [ 956s] [953/1909] CXX obj/rtc_base/rtc_base_approved/timestamp_aligner.o [ 956s] [954/1909] CXX obj/rtc_base/rtc_numerics/exp_filter.o [ 956s] [955/1909] CXX obj/pc/rtc_pc_base/rtp_transport.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/rtp_transport.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [956/1909] CXX obj/rtc_base/rtc_base/ssl_identity.o [ 956s] [957/1909] CXX obj/rtc_base/rtc_base/ssl_adapter.o [ 956s] [958/1909] CXX obj/rtc_base/rtc_base/message_queue.o [ 956s] [959/1909] CXX obj/rtc_base/rtc_json/json.o [ 956s] [960/1909] CXX obj/rtc_base/rtc_base_approved/flags.o [ 956s] [961/1909] CXX obj/rtc_base/rtc_base/ssl_fingerprint.o [ 956s] [962/1909] CXX obj/rtc_base/rtc_base_approved/copy_on_write_buffer.o [ 956s] [963/1909] CXX obj/rtc_base/rtc_base/physical_socket_server.o [ 956s] [964/1909] STAMP obj/rtc_base/type_traits.stamp [ 956s] [965/1909] CXX obj/rtc_base/rtc_base_approved/byte_buffer.o [ 956s] [966/1909] CXX obj/rtc_base/rtc_base_approved/bit_buffer.o [ 956s] [967/1909] STAMP obj/rtc_base/safe_compare.stamp [ 956s] [968/1909] CXX obj/rtc_base/rtc_base/ssl_stream_adapter.o [ 956s] [969/1909] CXX obj/rtc_base/rtc_base/log_sinks.o [ 956s] In file included from ../../../../rtc_base/log_sinks.h:20, [ 956s] from ../../../../rtc_base/log_sinks.cc:11: [ 956s] ../../../../rtc_base/logging.h:116:16: warning: 'virtual void rtc::LogSink::OnLogMessage(const string&, rtc::LoggingSeverity)' was hidden [-Woverloaded-virtual] [ 956s] 116 | virtual void OnLogMessage(const std::string& message, [ 956s] | ^~~~~~~~~~~~ [ 956s] In file included from ../../../../rtc_base/log_sinks.cc:11: [ 956s] ../../../../rtc_base/log_sinks.h:39:8: warning: by 'rtc::FileRotatingLogSink::OnLogMessage' [-Woverloaded-virtual] [ 956s] 39 | void OnLogMessage(const std::string& message, [ 956s] | ^~~~~~~~~~~~ [ 956s] [970/1909] CXX obj/rtc_base/rtc_event/event.o [ 956s] [971/1909] CXX obj/rtc_base/rtc_task_queue/task_queue.o [ 956s] [972/1909] CXX obj/rtc_base/rtc_base/unique_id_generator.o [ 956s] [973/1909] CXX obj/rtc_base/rtc_base/ssl_certificate.o [ 956s] [974/1909] CXX obj/rtc_base/stringutils/string_utils.o [ 956s] [975/1909] CXX obj/rtc_base/rtc_base/stream.o [ 956s] [976/1909] CXX obj/rtc_base/rtc_base_approved/buffer_queue.o [ 956s] [977/1909] CXX obj/rtc_base/synchronization/rw_lock_wrapper/rw_lock_wrapper.o [ 956s] [978/1909] CXX obj/rtc_base/synchronization/rw_lock_wrapper/rw_lock_posix.o [ 956s] [979/1909] CXX obj/rtc_base/stringutils/string_to_number.o [ 956s] [980/1909] CXX obj/rtc_base/synchronization/yield_policy/yield_policy.o [ 956s] [981/1909] CXX obj/pc/peerconnection/audio_rtp_receiver.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/remote_audio_source.h:19, [ 956s] from ../../../../pc/audio_rtp_receiver.h:26, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../api/proxy.h:61, [ 956s] from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../media/base/media_channel.h:28, [ 956s] from ../../../../pc/audio_rtp_receiver.h:24, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../rtc_base/message_handler.h: In instantiation of 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::AudioRtpReceiver::GetParameters() const::]': [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../rtc_base/message_handler.h:42:50: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 956s] In file included from ../../../../pc/audio_rtp_receiver.h:22, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 622 | struct RTC_EXPORT RtpParameters { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 956s] 589 | RtcpParameters(const RtcpParameters&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/proxy.h:61, [ 956s] from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../media/base/media_channel.h:28, [ 956s] from ../../../../pc/audio_rtp_receiver.h:24, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../rtc_base/message_handler.h:42:50: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 956s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../pc/audio_rtp_receiver.h:18, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::AudioRtpReceiver::GetParameters() const::]' [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../pc/audio_rtp_receiver.h:22, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../pc/audio_rtp_receiver.h:18, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::AudioRtpReceiver::GetParameters() const::]' [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../pc/audio_rtp_receiver.h:22, [ 956s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [982/1909] STAMP obj/rtc_base/system/asm_defines.stamp [ 956s] [983/1909] STAMP obj/rtc_base/system/arch.stamp [ 956s] [984/1909] STAMP obj/common_audio/third_party/spl_sqrt_floor/spl_sqrt_floor.stamp [ 956s] [985/1909] STAMP obj/common_audio/common_audio_c_arm_asm.stamp [ 956s] [986/1909] CXX obj/rtc_base/rtc_base_approved/bitrate_allocation_strategy.o [ 956s] [987/1909] CXX obj/pc/peerconnection/rtp_transceiver.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/rtp_transceiver.h:18, [ 956s] from ../../../../pc/rtp_transceiver.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../pc/channel_manager.h:23, [ 956s] from ../../../../pc/rtp_transceiver.h:19, [ 956s] from ../../../../pc/rtp_transceiver.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_transceiver_interface.h:17, [ 956s] from ../../../../pc/rtp_transceiver.h:17, [ 956s] from ../../../../pc/rtp_transceiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_transceiver_interface.h:20, [ 956s] from ../../../../pc/rtp_transceiver.h:17, [ 956s] from ../../../../pc/rtp_transceiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_transceiver_interface.h:17, [ 956s] from ../../../../pc/rtp_transceiver.h:17, [ 956s] from ../../../../pc/rtp_transceiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_transceiver_interface.h:20, [ 956s] from ../../../../pc/rtp_transceiver.h:17, [ 956s] from ../../../../pc/rtp_transceiver.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [988/1909] CXX obj/rtc_base/rtc_base_approved/event_tracer.o [ 956s] [989/1909] STAMP obj/rtc_base/macromagic.stamp [ 956s] [990/1909] STAMP obj/rtc_base/system/fallthrough.stamp [ 956s] [991/1909] STAMP obj/rtc_base/refcount.stamp [ 956s] [992/1909] STAMP obj/rtc_base/system/warn_current_thread_is_deadlocked.stamp [ 956s] [993/1909] STAMP obj/rtc_base/system/unused.stamp [ 956s] [994/1909] STAMP obj/rtc_base/synchronization/rw_lock_wrapper.stamp [ 956s] [995/1909] STAMP obj/rtc_base/system/rtc_export.stamp [ 956s] [996/1909] STAMP obj/rtc_base/system/inline.stamp [ 956s] [997/1909] STAMP obj/rtc_base/system/ignore_warnings.stamp [ 956s] [998/1909] AR obj/modules/audio_processing/libconfig.a [ 956s] [999/1909] STAMP obj/modules/audio_coding/isac_vad.stamp [ 956s] [1000/1909] CXX obj/rtc_base/weak_ptr/weak_ptr.o [ 956s] [1001/1909] CXX obj/rtc_base/timeutils/time_utils.o [ 956s] [1002/1909] CXX obj/rtc_base/experiments/alr_experiment/alr_experiment.o [ 956s] [1003/1909] CXX obj/rtc_base/rtc_task_queue_libevent/task_queue_libevent.o [ 956s] [1004/1909] CXX obj/rtc_base/stringutils/string_builder.o [ 956s] [1005/1909] CXX obj/rtc_base/rtc_base/thread.o [ 956s] [1006/1909] AR obj/system_wrappers/libcpu_features_linux.a [ 956s] [1007/1909] CXX obj/rtc_base/experiments/rtt_mult_experiment/rtt_mult_experiment.o [ 956s] [1008/1909] STAMP obj/sdk/sdk.stamp [ 956s] [1009/1909] CXX obj/rtc_base/third_party/sigslot/sigslot/sigslot.o [ 956s] [1010/1909] CXX obj/rtc_base/time/timestamp_extrapolator/timestamp_extrapolator.o [ 956s] [1011/1909] CXX obj/rtc_base/stringutils/string_encode.o [ 956s] [1012/1909] STAMP obj/rtc_base/third_party/sigslot/sigslot.stamp [ 956s] [1013/1909] STAMP obj/rtc_base/time/timestamp_extrapolator.stamp [ 956s] [1014/1909] CXX obj/system_wrappers/event_wrapper/event.o [ 956s] [1015/1909] CXX obj/system_wrappers/system_wrappers/sleep.o [ 956s] [1016/1909] STAMP obj/third_party/abseil-cpp/absl/base/config.stamp [ 956s] [1017/1909] CXX obj/rtc_base/synchronization/sequence_checker/sequence_checker.o [ 956s] [1018/1909] CXX obj/system_wrappers/system_wrappers/cpu_features.o [ 956s] [1019/1909] CXX obj/system_wrappers/field_trial/field_trial.o [ 956s] [1020/1909] CXX obj/third_party/abseil-cpp/absl/base/base/unscaledcycleclock.o [ 956s] [1021/1909] CXX obj/rtc_base/experiments/keyframe_interval_settings_experiment/keyframe_interval_settings.o [ 956s] [1022/1909] STAMP obj/third_party/abseil-cpp/absl/base/core_headers.stamp [ 956s] [1023/1909] STAMP obj/third_party/abseil-cpp/absl/base/base_internal.stamp [ 956s] [1024/1909] STAMP obj/system_wrappers/field_trial.stamp [ 956s] [1025/1909] CXX obj/third_party/abseil-cpp/absl/base/dynamic_annotations/dynamic_annotations.o [ 956s] [1026/1909] STAMP obj/third_party/abseil-cpp/absl/algorithm/algorithm.stamp [ 956s] [1027/1909] STAMP obj/rtc_base/synchronization/yield_policy.stamp [ 956s] [1028/1909] CXX obj/rtc_base/memory/aligned_malloc/aligned_malloc.o [ 956s] [1029/1909] STAMP obj/third_party/abseil-cpp/absl/base/bits.stamp [ 956s] [1030/1909] CXX obj/rtc_base/experiments/audio_allocation_settings/audio_allocation_settings.o [ 956s] [1031/1909] STAMP obj/third_party/abseil-cpp/absl/base/endian.stamp [ 956s] [1032/1909] STAMP obj/third_party/abseil-cpp/absl/base/dynamic_annotations.stamp [ 956s] [1033/1909] CXX obj/rtc_base/experiments/field_trial_parser/field_trial_list.o [ 956s] [1034/1909] CXX obj/rtc_base/experiments/quality_scaler_settings/quality_scaler_settings.o [ 956s] [1035/1909] CXX obj/rtc_base/experiments/jitter_upper_bound_experiment/jitter_upper_bound_experiment.o [ 956s] [1036/1909] CXX obj/rtc_base/experiments/cpu_speed_experiment/cpu_speed_experiment.o [ 956s] [1037/1909] STAMP obj/third_party/abseil-cpp/absl/meta/type_traits.stamp [ 956s] [1038/1909] CXX obj/third_party/abseil-cpp/absl/strings/internal/utf8.o [ 956s] [1039/1909] CXX obj/third_party/abseil-cpp/absl/base/base/cycleclock.o [ 956s] [1040/1909] STAMP obj/rtc_base/sanitizer.stamp [ 956s] [1041/1909] CXX obj/rtc_base/system/file_wrapper/file_wrapper.o [ 956s] [1042/1909] STAMP obj/third_party/abseil-cpp/absl/algorithm/container.stamp [ 956s] [1043/1909] STAMP obj/third_party/abseil-cpp/absl/memory/memory.stamp [ 956s] [1044/1909] CXX obj/third_party/abseil-cpp/absl/base/spinlock_wait/spinlock_wait.o [ 956s] [1045/1909] STAMP obj/third_party/abseil-cpp/absl/base/spinlock_wait.stamp [ 956s] [1046/1909] CXX obj/rtc_base/third_party/base64/base64/base64.o [ 956s] [1047/1909] CXX obj/third_party/abseil-cpp/absl/base/base/log_severity.o [ 956s] [1048/1909] STAMP obj/rtc_base/third_party/base64/base64.stamp [ 956s] [1049/1909] CXX obj/rtc_base/memory/fifo_buffer/fifo_buffer.o [ 956s] [1050/1909] CXX obj/rtc_base/experiments/quality_scaling_experiment/quality_scaling_experiment.o [ 956s] [1051/1909] CXX obj/rtc_base/task_utils/repeating_task/repeating_task.o [ 956s] [1052/1909] CXX obj/third_party/abseil-cpp/absl/strings/internal/ostringstream.o [ 956s] [1053/1909] CXX obj/system_wrappers/system_wrappers/clock.o [ 956s] [1054/1909] STAMP obj/third_party/abseil-cpp/absl/strings/internal.stamp [ 956s] [1055/1909] CXX obj/third_party/abseil-cpp/absl/base/base/thread_identity.o [ 956s] [1056/1909] CXX obj/third_party/abseil-cpp/absl/base/base/raw_logging.o [ 956s] [1057/1909] CXX obj/third_party/abseil-cpp/absl/base/throw_delegate/throw_delegate.o [ 956s] [1058/1909] CXX obj/third_party/abseil-cpp/absl/base/base/spinlock.o [ 956s] [1059/1909] CXX obj/rtc_base/experiments/field_trial_parser/field_trial_units.o [ 956s] [1060/1909] CXX obj/rtc_base/experiments/balanced_degradation_settings/balanced_degradation_settings.o [ 956s] [1061/1909] STAMP obj/third_party/abseil-cpp/absl/utility/utility.stamp [ 956s] [1062/1909] CXX obj/rtc_base/experiments/rate_control_settings/rate_control_settings.o [ 956s] [1063/1909] STAMP obj/third_party/abseil-cpp/absl/container/compressed_tuple.stamp [ 956s] [1064/1909] CXX obj/system_wrappers/system_wrappers/cpu_info.o [ 956s] [1065/1909] CXX obj/third_party/abseil-cpp/absl/numeric/int128/int128.o [ 956s] [1066/1909] CXX obj/third_party/abseil-cpp/absl/base/base/sysinfo.o [ 956s] [1067/1909] STAMP obj/third_party/abseil-cpp/absl/numeric/int128.stamp [ 956s] [1068/1909] CXX obj/stats/rtc_stats/rtc_stats.o [ 956s] [1069/1909] STAMP obj/third_party/abseil-cpp/absl/base/base.stamp [ 956s] [1070/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/string_view.o [ 956s] [1071/1909] STAMP obj/third_party/abseil-cpp/absl/base/throw_delegate.stamp [ 956s] [1072/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/str_split.o [ 956s] [1073/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/ascii.o [ 956s] [1074/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/match.o [ 956s] [1075/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/memutil.o [ 956s] [1076/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/str_cat.o [ 956s] [1077/1909] STAMP obj/third_party/abseil-cpp/absl/types/span.stamp [ 956s] [1078/1909] CXX obj/third_party/abseil-cpp/absl/types/bad_optional_access/bad_optional_access.o [ 956s] [1079/1909] STAMP obj/third_party/abseil-cpp/absl/container/inlined_vector_internal.stamp [ 956s] [1080/1909] CC obj/third_party/libsrtp/libsrtp/null_cipher.o [ 956s] [1081/1909] CC obj/third_party/libsrtp/libsrtp/aes_icm_ossl.o [ 956s] [1082/1909] STAMP obj/third_party/abseil-cpp/absl/types/bad_optional_access.stamp [ 956s] [1083/1909] CXX obj/system_wrappers/system_wrappers/rtp_to_ntp_estimator.o [ 956s] [1084/1909] CC obj/third_party/libsrtp/libsrtp/null_auth.o [ 956s] [1085/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/str_replace.o [ 956s] [1086/1909] STAMP obj/third_party/abseil-cpp/absl/container/inlined_vector.stamp [ 956s] [1087/1909] CC obj/third_party/libsrtp/libsrtp/err.o [ 956s] [1088/1909] CC obj/third_party/libsrtp/libsrtp/alloc.o [ 956s] [1089/1909] STAMP obj/third_party/abseil-cpp/absl/types/optional.stamp [ 956s] [1090/1909] CC obj/third_party/libsrtp/libsrtp/auth.o [ 956s] [1091/1909] CXX obj/pc/rtc_pc_base/jsep_transport.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/dtls_srtp_transport.h:21, [ 956s] from ../../../../pc/jsep_transport.h:26, [ 956s] from ../../../../pc/jsep_transport.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [1092/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/charconv_parse.o [ 956s] [1093/1909] CXX obj/pc/peerconnection/stats_collector.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/stats_collector.h:25, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/data_channel.h:23, [ 956s] from ../../../../pc/peer_connection_internal.h:22, [ 956s] from ../../../../pc/stats_collector.h:28, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/stats_collector.h:25, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 956s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/stats_collector.cc:20: [ 956s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 956s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/stats_collector.h:24, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/stats_collector.h:25, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/stats_collector.h:24, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/stats_collector.h:25, [ 956s] from ../../../../pc/stats_collector.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [1094/1909] CC obj/third_party/libsrtp/libsrtp/hmac_ossl.o [ 956s] [1095/1909] STAMP obj/api/transport/bitrate_settings.stamp [ 956s] [1096/1909] CXX obj/third_party/abseil-cpp/absl/types/bad_variant_access/bad_variant_access.o [ 956s] [1097/1909] STAMP obj/modules/module_api_public.stamp [ 956s] [1098/1909] CC obj/third_party/libsrtp/libsrtp/key.o [ 956s] [1099/1909] AR obj/modules/audio_coding/libaudio_network_adaptor_config.a [ 956s] [1100/1909] CC obj/third_party/libsrtp/libsrtp/aes_gcm_ossl.o [ 956s] [1101/1909] STAMP obj/rtc_base/network/sent_packet.stamp [ 956s] [1102/1909] STAMP obj/modules/audio_processing/audio_processing_statistics.stamp [ 956s] [1103/1909] STAMP obj/third_party/abseil-cpp/absl/types/bad_variant_access.stamp [ 956s] [1104/1909] CXX obj/pc/peerconnection/rtp_sender.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/rtp_sender.cc:19: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/jsep_transport_controller.h:30, [ 956s] from ../../../../pc/peer_connection.h:24, [ 956s] from ../../../../pc/rtp_sender.cc:19: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/rtp_sender.cc:19: [ 956s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 956s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_sender.cc:19: [ 956s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 956s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 956s] | ^~~~~~~~~~ [ 956s] ../../../../pc/rtp_sender.cc: In member function 'virtual webrtc::RTCError webrtc::RtpSenderBase::SetParametersInternal(const webrtc::RtpParameters&)': [ 956s] ../../../../pc/rtp_sender.cc:182:26: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 182 | init_parameters_ = parameters; [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h: In member function 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)': [ 956s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 622 | struct RTC_EXPORT RtpParameters { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 956s] 589 | RtcpParameters(const RtcpParameters&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] ../../../../pc/rtp_sender.cc: In member function 'virtual webrtc::RTCError webrtc::RtpSenderBase::SetParametersInternal(const webrtc::RtpParameters&)': [ 956s] ../../../../pc/rtp_sender.cc:182:26: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 956s] 182 | init_parameters_ = parameters; [ 956s] | ^~~~~~~~~~ [ 956s] ../../../../pc/rtp_sender.cc: In lambda function: [ 956s] ../../../../pc/rtp_sender.cc:193:70: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 193 | old_parameters.encodings); [ 956s] | ^ [ 956s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../pc/rtp_sender.cc: In lambda function: [ 956s] ../../../../pc/rtp_sender.cc:302:71: warning: implicitly-declared 'webrtc::RtpEncodingParameters& webrtc::RtpEncodingParameters::operator=(const webrtc::RtpEncodingParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 302 | current_parameters.encodings[i] = init_parameters_.encodings[i]; [ 956s] | ^ [ 956s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../api/rtp_parameters.h:368:3: note: because 'webrtc::RtpEncodingParameters' has user-provided 'webrtc::RtpEncodingParameters::RtpEncodingParameters(const webrtc::RtpEncodingParameters&)' [ 956s] 368 | RtpEncodingParameters(const RtpEncodingParameters&); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/rtp_sender.h:22, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/rtp_sender.h:22, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/proxy.h:61, [ 956s] from ../../../../api/rtp_sender_interface.h:25, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../rtc_base/message_handler.h: In instantiation of 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::RtpSenderBase::GetParametersInternal() const::]': [ 956s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 956s] ../../../../rtc_base/message_handler.h:42:50: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 956s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 956s] from ../../../../pc/rtp_sender.h:23, [ 956s] from ../../../../pc/rtp_sender.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] [1105/1909] CC obj/third_party/libsrtp/libsrtp/ekt.o [ 956s] [1106/1909] CC obj/third_party/libsrtp/libsrtp/rdb.o [ 956s] [1107/1909] STAMP obj/third_party/abseil-cpp/absl/types/variant.stamp [ 956s] [1108/1909] CC obj/third_party/libsrtp/libsrtp/rdbx.o [ 956s] [1109/1909] CC obj/third_party/libsrtp/libsrtp/crypto_kernel.o [ 956s] [1110/1909] CXX obj/rtc_base/experiments/field_trial_parser/field_trial_parser.o [ 956s] ../../../../rtc_base/experiments/field_trial_parser.cc: In function 'absl::optional webrtc::ParseTypedParameter(std::string) [with T = std::__cxx11::basic_string; std::string = std::__cxx11::basic_string]': [ 956s] ../../../../rtc_base/experiments/field_trial_parser.cc:129:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 129 | return std::move(str); [ 956s] | ~~~~~~~~~^~~~~ [ 956s] ../../../../rtc_base/experiments/field_trial_parser.cc:129:19: note: remove 'std::move' call [ 956s] [1111/1909] CC obj/third_party/libsrtp/libsrtp/stat.o [ 956s] [1112/1909] CXX obj/system_wrappers/metrics/metrics.o [ 956s] [1113/1909] CC obj/third_party/libsrtp/libsrtp/datatypes.o [ 956s] [1114/1909] CC obj/third_party/libsrtp/libsrtp/cipher.o [ 956s] [1115/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/substitute.o [ 956s] [1116/1909] CXX obj/third_party/libyuv/libyuv_internal/mjpeg_validate.o [ 956s] [1117/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/numbers.o [ 956s] [1118/1909] CXX obj/third_party/libyuv/libyuv_internal/rotate_argb.o [ 956s] [1119/1909] CXX obj/third_party/libyuv/libyuv_internal/rotate_common.o [ 956s] [1120/1909] CXX obj/third_party/libyuv/libyuv_internal/rotate.o [ 956s] [1121/1909] CXX obj/third_party/libyuv/libyuv_internal/rotate_gcc.o [ 956s] [1122/1909] CXX obj/third_party/libyuv/libyuv_internal/row_gcc.o [ 956s] [1123/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/charconv.o [ 956s] [1124/1909] CXX obj/third_party/libyuv/libyuv_internal/scale_any.o [ 956s] [1125/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1126/1909] CXX obj/third_party/libyuv/libyuv_internal/video_common.o [ 956s] [1127/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/escaping.o [ 956s] [1128/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1129/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1130/1909] CXX obj/third_party/libyuv/libyuv_internal/scale_gcc.o [ 956s] [1131/1909] CXX obj/third_party/libyuv/libyuv_neon/compare_neon64.o [ 956s] [1132/1909] CXX obj/third_party/libyuv/libyuv_neon/rotate_neon.o [ 956s] [1133/1909] CXX obj/third_party/libyuv/libyuv_neon/rotate_neon64.o [ 956s] [1134/1909] CXX obj/third_party/libyuv/libyuv_internal/scale_argb.o [ 956s] [1135/1909] CXX obj/third_party/libyuv/libyuv_neon/compare_neon.o [ 956s] [1136/1909] CXX obj/third_party/jsoncpp/jsoncpp/json_writer.o [ 956s] [1137/1909] CXX obj/third_party/libyuv/libyuv_neon/row_neon64.o [ 956s] [1138/1909] CXX obj/third_party/libyuv/libyuv_internal/compare_common.o [ 956s] [1139/1909] CXX obj/third_party/libyuv/libyuv_internal/scale.o [ 956s] [1140/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1141/1909] CXX obj/third_party/libyuv/libyuv_internal/mjpeg_decoder.o [ 956s] [1142/1909] CXX obj/third_party/libyuv/libyuv_neon/scale_neon.o [ 956s] [1143/1909] CXX obj/third_party/libyuv/libyuv_internal/compare_gcc.o [ 956s] [1144/1909] CXX obj/third_party/abseil-cpp/absl/strings/strings/charconv_bigint.o [ 956s] [1145/1909] CXX obj/third_party/jsoncpp/jsoncpp/json_reader.o [ 956s] [1146/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1147/1909] STAMP obj/third_party/abseil-cpp/absl/strings/strings.stamp [ 956s] [1148/1909] CXX obj/third_party/libyuv/libyuv_internal/convert_jpeg.o [ 956s] [1149/1909] CXX obj/third_party/libyuv/libyuv_neon/row_neon.o [ 956s] [1150/1909] CXX obj/third_party/libyuv/libyuv_neon/scale_neon64.o [ 956s] [1151/1909] STAMP obj/rtc_base/checks.stamp [ 956s] [1152/1909] STAMP obj/api/transport/webrtc_key_value_config.stamp [ 956s] [1153/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1154/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1155/1909] STAMP obj/api/array_view.stamp [ 956s] [1156/1909] CC obj/third_party/libsrtp/libsrtp/srtp.o [ 956s] [1157/1909] STAMP obj/api/transport/field_trial_based_config.stamp [ 956s] [1158/1909] STAMP obj/api/function_view.stamp [ 956s] [1159/1909] STAMP obj/api/task_queue/task_queue.stamp [ 956s] [1160/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1161/1909] STAMP obj/api/transport/media/audio_interfaces.stamp [ 956s] [1162/1909] STAMP obj/api/video_codecs/bitstream_parser_api.stamp [ 956s] [1163/1909] STAMP obj/common_video/generic_frame_descriptor/generic_frame_descriptor.stamp [ 956s] [1164/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1165/1909] CXX obj/third_party/libyuv/libyuv_internal/row_any.o [ 956s] [1166/1909] CXX obj/third_party/libyuv/libyuv_internal/cpu_id.o [ 956s] [1167/1909] STAMP obj/rtc_base/safe_minmax.stamp [ 956s] [1168/1909] STAMP obj/rtc_base/memory/aligned_malloc.stamp [ 956s] [1169/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1170/1909] STAMP obj/modules/audio_processing/audio_frame_view.stamp [ 956s] [1171/1909] STAMP obj/modules/audio_processing/utility/legacy_delay_estimator.stamp [ 956s] [1172/1909] STAMP obj/rtc_base/safe_conversions.stamp [ 956s] [1173/1909] STAMP obj/rtc_base/criticalsection.stamp [ 956s] [1174/1909] STAMP obj/rtc_base/rtc_event.stamp [ 956s] [1175/1909] STAMP obj/rtc_base/task_utils/to_queued_task.stamp [ 956s] [1176/1909] STAMP obj/modules/video_coding/codec_globals_headers.stamp [ 956s] [1177/1909] STAMP obj/rtc_base/memory/aligned_array.stamp [ 956s] [1178/1909] STAMP obj/rtc_base/stringutils.stamp [ 956s] [1179/1909] CXX obj/third_party/libyuv/libyuv_internal/convert_to_i420.o [ 956s] [1180/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1181/1909] STAMP obj/rtc_base/synchronization/sequence_checker.stamp [ 956s] [1182/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1183/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1184/1909] CXX obj/third_party/libyuv/libyuv_internal/compare.o [ 956s] [1185/1909] STAMP obj/rtc_base/units/unit_base.stamp [ 956s] [1186/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1187/1909] AR obj/third_party/libsrtp/libsrtp.a [ 956s] [1188/1909] AR obj/rtc_base/libweak_ptr.a [ 956s] [1189/1909] STAMP obj/rtc_base/system/file_wrapper.stamp [ 956s] [1190/1909] STAMP obj/system_wrappers/event_wrapper.stamp [ 956s] [1191/1909] STAMP obj/api/audio_options_api.stamp [ 956s] [1192/1909] STAMP obj/api/video/video_bitrate_allocation.stamp [ 956s] [1193/1909] CXX obj/third_party/libyuv/libyuv_internal/rotate_any.o [ 956s] [1194/1909] STAMP obj/rtc_base/rtc_task_queue.stamp [ 956s] [1195/1909] STAMP obj/rtc_base/timeutils.stamp [ 956s] [1196/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1197/1909] CXX obj/third_party/libyuv/libyuv_internal/planar_functions.o [ 956s] [1198/1909] STAMP obj/api/units/time_delta.stamp [ 956s] [1199/1909] STAMP obj/rtc_base/thread_checker.stamp [ 956s] [1200/1909] STAMP obj/api/units/data_size.stamp [ 956s] [1201/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1202/1909] CXX obj/third_party/libyuv/libyuv_internal/convert_to_argb.o [ 956s] [1203/1909] STAMP obj/api/video/video_bitrate_allocator.stamp [ 956s] [1204/1909] STAMP obj/api/rtc_event_log/rtc_event_log.stamp [ 956s] [1205/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1206/1909] STAMP obj/rtc_base/logging.stamp [ 956s] [1207/1909] ACTION //third_party/libvpx:convert_arm_assembly(//build/toolchain/linux:arm) [ 956s] [1208/1909] STAMP obj/api/units/timestamp.stamp [ 956s] [1209/1909] CXX obj/third_party/rnnoise/rnn_vad/rnn_vad_weights.o [ 956s] [1210/1909] STAMP obj/rtc_base/platform_thread.stamp [ 956s] [1211/1909] STAMP obj/api/rtc_event_log/rtc_event_log_factory.stamp [ 956s] [1212/1909] STAMP obj/api/units/data_rate.stamp [ 956s] [1213/1909] STAMP obj/third_party/libvpx/convert_arm_assembly.stamp [ 956s] [1214/1909] STAMP obj/rtc_base/task_utils/repeating_task.stamp [ 956s] [1215/1909] STAMP obj/third_party/rnnoise/rnn_vad.stamp [ 956s] [1216/1909] STAMP obj/rtc_base/rtc_task_queue_libevent.stamp [ 956s] [1217/1909] AR obj/api/transport/libnetwork_control.a [ 956s] [1218/1909] CXX obj/third_party/libyuv/libyuv_internal/convert_from_argb.o [ 956s] [1219/1909] CC obj/third_party/usrsctp/usrsctp/sctp_bsd_addr.o [ 956s] [1220/1909] STAMP obj/api/bitrate_allocation.stamp [ 956s] [1221/1909] STAMP obj/api/task_queue/default_task_queue_factory.stamp [ 956s] [1222/1909] CC obj/third_party/usrsctp/usrsctp/sctp_callout.o [ 956s] [1223/1909] CC obj/third_party/usrsctp/usrsctp/sctp_crc32.o [ 956s] [1224/1909] CC obj/third_party/libvpx/libvpx/treewriter.o [ 956s] [1225/1909] STAMP obj/api/task_queue/global_task_queue_factory.stamp [ 956s] [1226/1909] CXX obj/third_party/libyuv/libyuv_internal/scale_common.o [ 956s] [1227/1909] CXX obj/third_party/jsoncpp/jsoncpp/json_value.o [ 956s] [1228/1909] CXX obj/third_party/libyuv/libyuv_internal/convert_from.o [ 956s] [1229/1909] ACTION //third_party/opus:convert_rtcd_assembler(//build/toolchain/linux:arm) [ 956s] [1230/1909] CC obj/third_party/libvpx/libvpx/vp9_common_data.o [ 956s] [1231/1909] CXX obj/third_party/libyuv/libyuv_internal/convert.o [ 956s] [1232/1909] CC obj/third_party/libvpx/libvpx/vp9_blockd.o [ 956s] [1233/1909] CC obj/third_party/libvpx/libvpx/vp9_entropy.o [ 956s] [1234/1909] CXX obj/third_party/libyuv/libyuv_internal/convert_argb.o [ 956s] [1235/1909] CC obj/third_party/libvpx/libvpx/vp9_filter.o [ 956s] [1236/1909] CC obj/third_party/libvpx/libvpx/vp9_alloccommon.o [ 956s] [1237/1909] CC obj/third_party/libvpx/libvpx/vp9_iht4x4_add_neon.o [ 956s] [1238/1909] CC obj/third_party/libvpx/libvpx/vp9_frame_buffers.o [ 956s] [1239/1909] CC obj/third_party/libvpx/libvpx/vp8_dx_iface.o [ 956s] [1240/1909] CC obj/third_party/libvpx/libvpx/vp9_entropymode.o [ 956s] [1241/1909] CC obj/third_party/libvpx/libvpx/vp9_entropymv.o [ 956s] [1242/1909] CC obj/third_party/libvpx/libvpx/vp9_quant_common.o [ 956s] [1243/1909] CC obj/third_party/usrsctp/usrsctp/sctp_asconf.o [ 956s] [1244/1909] CC obj/third_party/libvpx/libvpx/vp9_rtcd.o [ 956s] [1245/1909] CC obj/third_party/libvpx/libvpx/vp8_quantize.o [ 956s] [1246/1909] CC obj/third_party/libvpx/libvpx/vp9_idct.o [ 956s] [1247/1909] CC obj/third_party/libvpx/libvpx/vp9_scan.o [ 956s] [1248/1909] CC obj/third_party/libvpx/libvpx/vp9_pred_common.o [ 956s] [1249/1909] CC obj/third_party/libvpx/libvpx/vp9_iht8x8_add_neon.o [ 956s] [1250/1909] CC obj/third_party/libvpx/libvpx/vp9_seg_common.o [ 956s] [1251/1909] CC obj/third_party/libvpx/libvpx/vp8_cx_iface.o [ 956s] [1252/1909] CC obj/third_party/libvpx/libvpx/vp9_mvref_common.o [ 956s] [1253/1909] CC obj/third_party/libvpx/libvpx/vp9_postproc.o [ 956s] [1254/1909] CC obj/third_party/libvpx/libvpx/vp9_mfqe.o [ 956s] [1255/1909] CC obj/third_party/libvpx/libvpx/vp9_scale.o [ 956s] [1256/1909] CC obj/third_party/libvpx/libvpx/vp9_tile_common.o [ 956s] [1257/1909] CC obj/third_party/libvpx/libvpx/vp9_job_queue.o [ 956s] [1258/1909] CC obj/third_party/libvpx/libvpx/vp9_reconintra.o [ 956s] [1259/1909] CC obj/third_party/libvpx/libvpx/vp9_reconinter.o [ 956s] [1260/1909] CXX obj/pc/peerconnection/webrtc_session_description_factory.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/dtls_srtp_transport.h:21, [ 956s] from ../../../../pc/jsep_transport.h:26, [ 956s] from ../../../../pc/media_session.h:26, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:24, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../api/jsep_session_description.h:24, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:22: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/port.h:21, [ 956s] from ../../../../p2p/base/port_allocator.h:19, [ 956s] from ../../../../api/peer_connection_interface.h:105, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/jsep.h:29, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:19, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/jsep.h:29, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:19, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 956s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [1261/1909] CC obj/third_party/usrsctp/usrsctp/sctp_auth.o [ 956s] [1262/1909] CC obj/third_party/usrsctp/usrsctp/sctp_cc_functions.o [ 956s] [1263/1909] CXX obj/video/video/transport_adapter.o [ 956s] [1264/1909] CC obj/third_party/libvpx/libvpx/vp9_dsubexp.o [ 956s] [1265/1909] CC obj/third_party/libvpx/libvpx/vp9_iht16x16_add_neon.o [ 956s] [1266/1909] CC obj/third_party/libvpx/libvpx/vp9_cost.o [ 956s] [1267/1909] CC obj/third_party/libvpx/libvpx/vp9_context_tree.o [ 956s] [1268/1909] CC obj/third_party/libvpx/libvpx/vp9_error_neon.o [ 956s] [1269/1909] AR obj/logging/librtc_event_log_impl_base.a [ 956s] [1270/1909] CC obj/third_party/libvpx/libvpx/vp9_loopfilter.o [ 956s] [1271/1909] CC obj/third_party/libvpx/libvpx/vp9_decoder.o [ 956s] [1272/1909] CC obj/third_party/libvpx/libvpx/vp9_denoiser_neon.o [ 956s] [1273/1909] CC obj/third_party/libvpx/libvpx/vp9_quantize_neon.o [ 956s] [1274/1909] CC obj/third_party/libvpx/libvpx/vp9_detokenize.o [ 956s] [1275/1909] CXX obj/pc/rtc_pc_base/channel.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/channel.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../pc/channel_manager.h:23, [ 956s] from ../../../../pc/channel.cc:24: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/channel.cc: In member function 'bool cricket::BaseChannel::SendPacket(bool, rtc::CopyOnWriteBuffer*, const rtc::PacketOptions&)': [ 956s] ../../../../pc/channel.cc:410:21: warning: implicitly-declared 'rtc::PacketOptions& rtc::PacketOptions::operator=(const rtc::PacketOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 410 | data->options = options; [ 956s] | ^~~~~~~ [ 956s] In file included from ../../../../media/base/media_channel.h:42, [ 956s] from ../../../../pc/channel.h:28, [ 956s] from ../../../../pc/channel.cc:11: [ 956s] ../../../../rtc_base/async_packet_socket.h:42:3: note: because 'rtc::PacketOptions' has user-provided 'rtc::PacketOptions::PacketOptions(const rtc::PacketOptions&)' [ 956s] 42 | PacketOptions(const PacketOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../rtc_base/async_packet_socket.h: In member function 'rtc::PacketOptions& rtc::PacketOptions::operator=(const rtc::PacketOptions&)': [ 956s] ../../../../rtc_base/async_packet_socket.h:39:8: warning: implicitly-declared 'rtc::PacketTimeUpdateParams& rtc::PacketTimeUpdateParams::operator=(const rtc::PacketTimeUpdateParams&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | struct PacketOptions { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../rtc_base/async_packet_socket.h:28:3: note: because 'rtc::PacketTimeUpdateParams' has user-provided 'rtc::PacketTimeUpdateParams::PacketTimeUpdateParams(const rtc::PacketTimeUpdateParams&)' [ 956s] 28 | PacketTimeUpdateParams(const PacketTimeUpdateParams& other); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../rtc_base/async_packet_socket.h:39:8: warning: implicitly-declared 'rtc::PacketInfo& rtc::PacketInfo::operator=(const rtc::PacketInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | struct PacketOptions { [ 956s] | ^~~~~~~~~~~~~ [ 956s] In file included from ../../../../rtc_base/async_packet_socket.h:16, [ 956s] from ../../../../media/base/media_channel.h:42, [ 956s] from ../../../../pc/channel.h:28, [ 956s] from ../../../../pc/channel.cc:11: [ 956s] ../../../../rtc_base/network/sent_packet.h:40:3: note: because 'rtc::PacketInfo' has user-provided 'rtc::PacketInfo::PacketInfo(const rtc::PacketInfo&)' [ 956s] 40 | PacketInfo(const PacketInfo& info); [ 956s] | ^~~~~~~~~~ [ 956s] ../../../../pc/channel.cc: In member function 'bool cricket::BaseChannel::SendPacket(bool, rtc::CopyOnWriteBuffer*, const rtc::PacketOptions&)': [ 956s] ../../../../pc/channel.cc:410:21: note: synthesized method 'rtc::PacketOptions& rtc::PacketOptions::operator=(const rtc::PacketOptions&)' first required here [ 956s] 410 | data->options = options; [ 956s] | ^~~~~~~ [ 956s] [1276/1909] CXX obj/video/video/stream_synchronization.o [ 956s] [1277/1909] STAMP obj/modules/congestion_controller/goog_cc/link_capacity_estimator.stamp [ 956s] [1278/1909] CC obj/third_party/libvpx/libvpx/vp9_thread_common.o [ 956s] [1279/1909] CC obj/third_party/libvpx/libvpx/vp9_ethread.o [ 956s] [1280/1909] CC obj/third_party/libvpx/libvpx/vp9_encodemv.o [ 956s] [1281/1909] CC obj/third_party/libvpx/libvpx/vp9_aq_cyclicrefresh.o [ 956s] [1282/1909] CXX obj/third_party/libyuv/libyuv_internal/row_common.o [ 956s] [1283/1909] CC obj/third_party/libvpx/libvpx/vp9_dct.o [ 956s] [1284/1909] CC obj/third_party/libvpx/libvpx/vpx_convolve_neon.o [ 956s] [1285/1909] CC obj/third_party/libvpx/libvpx/vpx_convolve8_neon_asm.o [ 956s] [1286/1909] CC obj/third_party/libvpx/libvpx/quantize_neon.o [ 956s] [1287/1909] CC obj/third_party/libvpx/libvpx/vp9_denoiser.o [ 956s] [1288/1909] CC obj/third_party/libvpx/libvpx/sum_squares_neon.o [ 956s] [1289/1909] CC obj/third_party/libvpx/libvpx/bitreader_buffer.o [ 956s] [1290/1909] CXX obj/video/frame_dumping_decoder/frame_dumping_decoder.o [ 956s] [1291/1909] CC obj/third_party/libvpx/libvpx/intrapred_neon.o [ 956s] [1292/1909] CC obj/third_party/libvpx/libvpx/bitreader.o [ 956s] [1293/1909] CC obj/third_party/libvpx/libvpx/idct8x8_add_neon.o [ 956s] [1294/1909] CC obj/third_party/libvpx/libvpx/avg.o [ 956s] [1295/1909] CXX obj/video/video/stats_counter.o [ 956s] [1296/1909] CC obj/third_party/libvpx/libvpx/bitwriter.o [ 956s] [1297/1909] CC obj/third_party/libvpx/libvpx/subtract_neon.o [ 956s] [1298/1909] CC obj/third_party/libvpx/libvpx/bitwriter_buffer.o [ 956s] [1299/1909] CC obj/third_party/libvpx/libvpx/variance_neon.o [ 956s] [1300/1909] CC obj/third_party/libvpx/libvpx/vp9_encodemb.o [ 956s] [1301/1909] CC obj/third_party/libvpx/libvpx/prob.o [ 956s] [1302/1909] CC obj/third_party/libvpx/libvpx/skin_detection.o [ 956s] [1303/1909] CC obj/third_party/libvpx/libvpx/deblock.o [ 956s] [1304/1909] CC obj/third_party/libvpx/libvpx/sad_neon.o [ 956s] [1305/1909] CC obj/third_party/libvpx/libvpx/psnr.o [ 956s] [1306/1909] CC obj/third_party/libvpx/libvpx/vpx_scaled_convolve8_neon.o [ 956s] [1307/1909] CC obj/third_party/libvpx/libvpx/quantize.o [ 956s] [1308/1909] CC obj/third_party/libvpx/libvpx/subpel_variance_neon.o [ 956s] [1309/1909] AR obj/rtc_base/experiments/libfield_trial_parser.a [ 956s] [1310/1909] CC obj/third_party/libvpx/libvpx/sad4d_neon.o [ 956s] [1311/1909] CC obj/third_party/pffft/pffft/pffft.o [ 956s] ../../../../third_party/pffft/src/pffft.c: In function 'validate_pffft_simd': [ 956s] ../../../../third_party/pffft/src/pffft.c:218:33: warning: variable 'u' set but not used [-Wunused-but-set-variable] [ 956s] 218 | v4sf_union a0, a1, a2, a3, t, u; [ 956s] | ^ [ 956s] ../../../../third_party/pffft/src/pffft.c:218:30: warning: variable 't' set but not used [-Wunused-but-set-variable] [ 956s] 218 | v4sf_union a0, a1, a2, a3, t, u; [ 956s] | ^ [ 956s] [1312/1909] STAMP obj/rtc_base/rtc_base_approved.stamp [ 956s] [1313/1909] AR obj/rtc_base/experiments/libkeyframe_interval_settings_experiment.a [ 956s] [1314/1909] CXX obj/video/video/call_stats.o [ 956s] [1315/1909] STAMP obj/modules/audio_device/audio_device_api.stamp [ 956s] [1316/1909] STAMP obj/api/refcountedbase.stamp [ 956s] [1317/1909] STAMP obj/api/audio_codecs/audio_codecs_api.stamp [ 956s] [1318/1909] CXX obj/modules/video_coding/webrtc_vp8/libvpx_vp8_decoder.o [ 956s] [1319/1909] CXX obj/video/video/buffered_frame_decryptor.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../video/buffered_frame_decryptor.h:20, [ 956s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../video/buffered_frame_decryptor.h:20, [ 956s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../video/buffered_frame_decryptor.h:19, [ 956s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../video/buffered_frame_decryptor.h:20, [ 956s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [1320/1909] AR obj/api/audio_codecs/opus/libaudio_encoder_opus_config.a [ 956s] [1321/1909] STAMP obj/api/video/video_frame.stamp [ 956s] [1322/1909] STAMP obj/api/rtc_event_log_output_file.stamp [ 956s] [1323/1909] STAMP obj/api/audio/audio_frame_api.stamp [ 956s] [1324/1909] STAMP obj/api/audio/aec3_config.stamp [ 956s] [1325/1909] STAMP obj/api/video/encoded_image.stamp [ 956s] [1326/1909] STAMP obj/api/rtc_stats_api.stamp [ 956s] [1327/1909] CC obj/third_party/libvpx/libvpx/vp9_decodemv.o [ 956s] [1328/1909] STAMP obj/api/rtp_headers.stamp [ 956s] [1329/1909] STAMP obj/api/audio/audio_mixer_api.stamp [ 956s] [1330/1909] AR obj/rtc_base/experiments/librtt_mult_experiment.a [ 956s] [1331/1909] STAMP obj/api/transport/media/video_interfaces.stamp [ 956s] [1332/1909] AR obj/modules/audio_coding/libisac_common.a [ 956s] [1333/1909] STAMP obj/api/video_codecs/video_codecs_api.stamp [ 956s] [1334/1909] AR obj/modules/audio_coding/liblegacy_encoded_audio_frame.a [ 956s] [1335/1909] STAMP obj/logging/rtc_event_log_api.stamp [ 956s] [1336/1909] AR obj/modules/audio_coding/libaudio_coding_opus_common.a [ 956s] [1337/1909] STAMP obj/modules/audio_device/audio_device_default.stamp [ 956s] [1338/1909] AR obj/modules/audio_coding/libg711.a [ 956s] [1339/1909] STAMP obj/modules/audio_processing/agc2/common.stamp [ 956s] [1340/1909] CXX obj/api/video_codecs/builtin_video_decoder_factory/builtin_video_decoder_factory.o [ 956s] [1341/1909] STAMP obj/media/rtc_vp9_profile.stamp [ 956s] [1342/1909] AR obj/modules/audio_coding/libg722.a [ 956s] [1343/1909] STAMP obj/api/video/video_bitrate_allocator_factory.stamp [ 956s] [1344/1909] STAMP obj/logging/rtc_event_pacing.stamp [ 956s] [1345/1909] AR obj/api/audio_codecs/g711/libaudio_decoder_g711.a [ 956s] [1346/1909] AR obj/modules/audio_coding/libpcm16b.a [ 956s] [1347/1909] AR obj/api/audio_codecs/g711/libaudio_encoder_g711.a [ 956s] [1348/1909] AR obj/api/audio_codecs/g722/libaudio_encoder_g722.a [ 956s] [1349/1909] STAMP obj/modules/audio_processing/agc2/biquad_filter.stamp [ 956s] [1350/1909] AR obj/api/audio_codecs/g722/libaudio_decoder_g722.a [ 956s] [1351/1909] AR obj/api/audio_codecs/L16/libaudio_encoder_L16.a [ 956s] [1352/1909] AR obj/api/audio_codecs/L16/libaudio_decoder_L16.a [ 956s] [1353/1909] STAMP obj/modules/audio_processing/agc2/gain_applier.stamp [ 956s] [1354/1909] STAMP obj/modules/audio_processing/utility/block_mean_calculator.stamp [ 956s] [1355/1909] AR obj/rtc_base/librtc_numerics.a [ 956s] [1356/1909] AR obj/rtc_base/experiments/libjitter_upper_bound_experiment.a [ 956s] [1357/1909] STAMP obj/modules/pacing/interval_budget.stamp [ 956s] [1358/1909] STAMP obj/modules/rtp_rtcp/rtp_video_header.stamp [ 956s] [1359/1909] STAMP obj/rtc_base/audio_format_to_string.stamp [ 956s] [1360/1909] AR obj/rtc_base/experiments/libalr_experiment.a [ 956s] [1361/1909] AR obj/rtc_base/experiments/libaudio_allocation_settings.a [ 956s] [1362/1909] AR obj/rtc_base/experiments/libbalanced_degradation_settings.a [ 956s] [1363/1909] AR obj/rtc_base/experiments/libcpu_speed_experiment.a [ 956s] [1364/1909] AR obj/rtc_base/experiments/libnormalize_simulcast_size_experiment.a [ 956s] [1365/1909] AR obj/rtc_base/experiments/libquality_scaler_settings.a [ 956s] [1366/1909] CC obj/third_party/libvpx/libvpx/sad.o [ 956s] [1367/1909] AR obj/rtc_base/experiments/libquality_scaling_experiment.a [ 956s] [1368/1909] STAMP obj/modules/congestion_controller/goog_cc/alr_detector.stamp [ 956s] [1369/1909] STAMP obj/modules/module_api.stamp [ 956s] [1370/1909] AR obj/rtc_base/experiments/librate_control_settings.a [ 956s] [1371/1909] STAMP obj/rtc_base/system/thread_registry.stamp [ 956s] [1372/1909] STAMP obj/system_wrappers/metrics.stamp [ 956s] [1373/1909] AR obj/stats/librtc_stats.a [ 956s] [1374/1909] AR obj/system_wrappers/libsystem_wrappers.a [ 956s] [1375/1909] CC obj/third_party/libvpx/libvpx/fwd_txfm.o [ 956s] [1376/1909] CXX obj/pc/rtc_pc_base/jsep_transport_controller.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/jsep_transport_controller.h:24, [ 956s] from ../../../../pc/jsep_transport_controller.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/jsep_transport_controller.h:30, [ 956s] from ../../../../pc/jsep_transport_controller.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] [1377/1909] CC obj/third_party/libvpx/libvpx/loopfilter.o [ 956s] [1378/1909] STAMP obj/third_party/jsoncpp/jsoncpp.stamp [ 956s] [1379/1909] STAMP obj/modules/congestion_controller/goog_cc/pushback_controller.stamp [ 956s] [1380/1909] STAMP obj/modules/video_processing/denoiser_filter.stamp [ 956s] [1381/1909] STAMP obj/stats/stats.stamp [ 956s] [1382/1909] STAMP obj/common_audio/common_audio_cc.stamp [ 956s] [1383/1909] STAMP obj/common_audio/sinc_resampler.stamp [ 956s] [1384/1909] STAMP obj/modules/audio_processing/audio_generator_interface.stamp [ 956s] [1385/1909] STAMP obj/rtc_base/rtc_json.stamp [ 956s] [1386/1909] AR obj/modules/video_processing/libvideo_processing_neon.a [ 956s] [1387/1909] STAMP obj/rtc_base/rate_limiter.stamp [ 956s] [1388/1909] AR obj/third_party/libyuv/libyuv_internal.a [ 956s] [1389/1909] STAMP obj/third_party/opus/convert_rtcd_assembler.stamp [ 956s] [1390/1909] STAMP obj/common_audio/common_audio_c.stamp [ 956s] [1391/1909] CC obj/third_party/libvpx/libvpx/loopfilter_arm.o [ 956s] [1392/1909] STAMP obj/modules/audio_processing/api.stamp [ 956s] [1393/1909] AR obj/rtc_base/librtc_base.a [ 956s] [1394/1909] CC obj/third_party/libvpx/libvpx/alloccommon.o [ 956s] [1395/1909] STAMP obj/api/simulated_network_api.stamp [ 956s] [1396/1909] AR obj/api/libjingle_peerconnection_api.a [ 956s] [1397/1909] CXX obj/video/video/encoder_rtcp_feedback.o [ 956s] [1398/1909] STAMP obj/api/video/video_stream_encoder.stamp [ 956s] [1399/1909] STAMP obj/rtc_base/memory/fifo_buffer.stamp [ 956s] [1400/1909] STAMP obj/api/api.stamp [ 956s] [1401/1909] CC obj/third_party/libvpx/libvpx/intrapred.o [ 956s] [1402/1909] STAMP obj/call/simulated_network.stamp [ 956s] [1403/1909] CC obj/third_party/libvpx/libvpx/copymem_neon.o [ 956s] [1404/1909] AR obj/logging/librtc_event_log_impl_encoder.a [ 956s] [1405/1909] STAMP obj/common_audio/common_audio_neon_c.stamp [ 956s] [1406/1909] CC obj/third_party/libvpx/libvpx/dequant_idct_neon.o [ 956s] [1407/1909] STAMP obj/logging/ice_log.stamp [ 956s] [1408/1909] CC obj/third_party/libvpx/libvpx/dc_only_idct_add_neon.o [ 956s] [1409/1909] AR obj/common_audio/libcommon_audio_neon.a [ 956s] [1410/1909] CXX obj/video/video/send_delay_stats.o [ 956s] [1411/1909] STAMP obj/media/rtc_h264_profile_id.stamp [ 956s] [1412/1909] STAMP obj/modules/audio_device/audio_device_buffer.stamp [ 956s] [1413/1909] AR obj/common_audio/libcommon_audio.a [ 956s] [1414/1909] STAMP obj/common_audio/fir_filter_factory.stamp [ 956s] [1415/1909] STAMP obj/logging/rtc_stream_config.stamp [ 956s] [1416/1909] CC obj/third_party/libvpx/libvpx/bilinearpredict_neon.o [ 956s] [1417/1909] AR obj/modules/audio_coding/libwebrtc_cng.a [ 956s] [1418/1909] AR obj/audio/utility/libaudio_frame_operations.a [ 956s] [1419/1909] STAMP obj/modules/audio_coding/ilbc_c.stamp [ 956s] [1420/1909] STAMP obj/logging/rtc_event_audio.stamp [ 956s] [1421/1909] AR obj/modules/audio_coding/libaudio_encoder_cng.a [ 956s] [1422/1909] STAMP obj/logging/rtc_event_video.stamp [ 956s] [1423/1909] STAMP obj/modules/audio_coding/isac_fix_common.stamp [ 956s] [1424/1909] AR obj/modules/audio_coding/libilbc.a [ 956s] [1425/1909] CXX obj/modules/video_coding/webrtc_vp8/libvpx_interface.o [ 956s] [1426/1909] AR obj/modules/audio_coding/libaudio_network_adaptor.a [ 956s] [1427/1909] AR obj/modules/audio_coding/libneteq.a [ 956s] [1428/1909] AR obj/api/audio_codecs/ilbc/libaudio_encoder_ilbc.a [ 956s] [1429/1909] AR obj/modules/audio_coding/libisac_neon.a [ 956s] [1430/1909] AR obj/api/audio_codecs/ilbc/libaudio_decoder_ilbc.a [ 956s] [1431/1909] AR obj/modules/audio_coding/libaudio_coding.a [ 956s] [1432/1909] STAMP obj/modules/audio_coding/isac_fix_c_arm_asm.stamp [ 956s] [1433/1909] STAMP obj/modules/audio_device/audio_device_generic.stamp [ 956s] [1434/1909] STAMP obj/modules/audio_processing/apm_logging.stamp [ 956s] [1435/1909] AR obj/modules/audio_mixer/libaudio_frame_manipulator.a [ 956s] [1436/1909] STAMP obj/modules/audio_coding/isac_fix_c.stamp [ 956s] [1437/1909] AR obj/modules/audio_processing/libaudio_buffer.a [ 956s] [1438/1909] AR obj/modules/audio_coding/libisac_fix.a [ 956s] [1439/1909] CXX obj/api/video_codecs/builtin_video_encoder_factory/builtin_video_encoder_factory.o [ 956s] [1440/1909] STAMP obj/modules/audio_processing/gain_control_config_proxy.stamp [ 956s] [1441/1909] STAMP obj/modules/audio_processing/noise_suppression_proxy.stamp [ 956s] [1442/1909] AR obj/api/audio_codecs/isac/libaudio_encoder_isac_fix.a [ 956s] [1443/1909] AR obj/api/audio_codecs/isac/libaudio_decoder_isac_fix.a [ 956s] [1444/1909] STAMP obj/modules/audio_processing/aecm/aecm_core.stamp [ 956s] [1445/1909] CXX obj/pc/peerconnection/rtc_stats_collector.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../pc/rtc_stats_collector.h:25, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/data_channel.h:23, [ 956s] from ../../../../pc/rtc_stats_collector.h:27, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection_internal.h:20, [ 956s] from ../../../../pc/rtc_stats_collector.h:28, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 956s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtc_stats_collector.cc:26: [ 956s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 956s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../pc/rtc_stats_collector.h:20, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:24, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../pc/rtc_stats_collector.h:25, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../pc/rtc_stats_collector.h:20, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/audio_receive_stream.h:24, [ 956s] from ../../../../call/call.h:19, [ 956s] from ../../../../pc/rtc_stats_collector.h:25, [ 956s] from ../../../../pc/rtc_stats_collector.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/rtc_stats_collector.cc: In function 'const char* webrtc::{anonymous}::QualityLimitationReasonToRTCQualityLimitationReason(webrtc::QualityLimitationReason)': [ 956s] ../../../../pc/rtc_stats_collector.cc:213:1: warning: control reaches end of non-void function [-Wreturn-type] [ 956s] 213 | } [ 956s] | ^ [ 956s] [1446/1909] STAMP obj/modules/audio_processing/agc/agc_legacy_c.stamp [ 956s] [1447/1909] STAMP obj/api/audio_codecs/isac/audio_decoder_isac.stamp [ 956s] [1448/1909] STAMP obj/api/audio_codecs/isac/audio_encoder_isac.stamp [ 956s] [1449/1909] STAMP obj/modules/audio_processing/agc2/fixed_digital.stamp [ 956s] [1450/1909] STAMP obj/modules/audio_processing/audio_processing_c.stamp [ 956s] [1451/1909] STAMP obj/modules/audio_processing/utility/ooura_fft.stamp [ 956s] [1452/1909] AR obj/modules/audio_processing/vad/libvad.a [ 956s] [1453/1909] AR obj/modules/utility/libutility.a [ 956s] [1454/1909] CXX obj/media/rtc_internal_video_codecs/fake_video_codec_factory.o [ 956s] [1455/1909] STAMP obj/modules/audio_device/audio_device_impl.stamp [ 956s] [1456/1909] CXX obj/modules/video_coding/webrtc_vp9/vp9_frame_buffer_pool.o [ 956s] [1457/1909] STAMP obj/modules/audio_processing/aec/aec_core.stamp [ 956s] [1458/1909] CC obj/third_party/libvpx/libvpx/inv_txfm.o [ 956s] [1459/1909] STAMP obj/modules/audio_processing/agc/level_estimation.stamp [ 956s] [1460/1909] AR obj/p2p/librtc_p2p.a [ 956s] [1461/1909] STAMP obj/modules/audio_device/audio_device.stamp [ 956s] [1462/1909] AR obj/modules/audio_processing/aec3/libaec3.a [ 956s] [1463/1909] STAMP obj/modules/audio_processing/agc2/noise_level_estimator.stamp [ 956s] [1464/1909] STAMP obj/modules/audio_processing/aec/aec.stamp [ 956s] [1465/1909] AR obj/p2p/libstunprober.a [ 956s] [1466/1909] CC obj/modules/audio_coding/webrtc_opus_c/opus_interface.o [ 956s] [1467/1909] STAMP obj/api/audio/aec3_factory.stamp [ 956s] [1468/1909] STAMP obj/p2p/p2p.stamp [ 956s] [1469/1909] CXX obj/media/rtc_internal_video_codecs/internal_encoder_factory.o [ 956s] [1470/1909] CC obj/third_party/opus/opus/entcode.o [ 956s] [1471/1909] CC obj/third_party/libvpx/libvpx/vp9_decodeframe.o [ 956s] [1472/1909] CXX obj/pc/peerconnection/peer_connection_factory.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/channel_manager.h:28, [ 956s] from ../../../../pc/peer_connection_factory.h:23, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 956s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection_factory.cc:35: [ 956s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 956s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/peer_connection_proxy.h: In instantiation of 'class webrtc::PeerConnectionProxyWithInternal': [ 956s] ../../../../pc/peer_connection_factory.cc:282:29: required from here [ 956s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 956s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/peer_connection_proxy.h:119:25: warning: by 'webrtc::RTCError webrtc::PeerConnectionProxyWithInternal::SetBitrate(const webrtc::BitrateSettings&) [with INTERNAL_CLASS = webrtc::PeerConnectionInterface]' [-Woverloaded-virtual] [ 956s] 119 | PROXY_METHOD1(RTCError, SetBitrate, const BitrateSettings&) [ 956s] | ^~~~~~~~~~ [ 956s] ../../../../api/proxy.h:500:5: note: in definition of macro 'PROXY_METHOD1' [ 956s] 500 | r method(t1 a1) override { \ [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:1098:16: warning: 'virtual bool webrtc::PeerConnectionInterface::StartRtcEventLog(std::unique_ptr)' was hidden [-Woverloaded-virtual] [ 956s] 1098 | virtual bool StartRtcEventLog(std::unique_ptr output); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/peer_connection_proxy.h:136:15: warning: by 'webrtc::PeerConnectionProxyWithInternal::StartRtcEventLog' [-Woverloaded-virtual] [ 956s] 136 | StartRtcEventLog, [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] ../../../../api/proxy.h:512:5: note: in definition of macro 'PROXY_METHOD2' [ 956s] 512 | r method(t1 a1, t2 a2) override { \ [ 956s] | ^~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/peer_connection_factory.h:18, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/peer_connection_factory.h:18, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/proxy.h: In instantiation of 'void webrtc::ReturnType::Invoke(C*, M) [with C = webrtc::PeerConnectionInterface; M = webrtc::PeerConnectionInterface::RTCConfiguration (webrtc::PeerConnectionInterface::*)(); R = webrtc::PeerConnectionInterface::RTCConfiguration]': [ 956s] ../../../../api/proxy.h:172:35: required from 'void webrtc::MethodCall0::OnMessage(rtc::Message*) [with C = webrtc::PeerConnectionInterface; R = webrtc::PeerConnectionInterface::RTCConfiguration]' [ 956s] ../../../../api/proxy.h:172:8: required from here [ 956s] ../../../../api/proxy.h:77:8: warning: implicitly-declared 'webrtc::PeerConnectionInterface::RTCConfiguration& webrtc::PeerConnectionInterface::RTCConfiguration::operator=(const webrtc::PeerConnectionInterface::RTCConfiguration&)' is deprecated [-Wdeprecated-copy] [ 956s] 77 | r_ = (c->*m)(); [ 956s] | ~~~^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:300:5: note: because 'webrtc::PeerConnectionInterface::RTCConfiguration' has user-provided 'webrtc::PeerConnectionInterface::RTCConfiguration::RTCConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&)' [ 956s] 300 | RTCConfiguration(const RTCConfiguration&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/media_stream_interface.h:25, [ 956s] from ../../../../pc/peer_connection_factory.h:18, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::CryptoOptions&; T = webrtc::CryptoOptions]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::CryptoOptions]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'void webrtc::ReturnType::Invoke(C*, M) [with C = webrtc::PeerConnectionInterface; M = webrtc::PeerConnectionInterface::RTCConfiguration (webrtc::PeerConnectionInterface::*)(); R = webrtc::PeerConnectionInterface::RTCConfiguration]' [ 956s] ../../../../api/proxy.h:172:35: required from 'void webrtc::MethodCall0::OnMessage(rtc::Message*) [with C = webrtc::PeerConnectionInterface; R = webrtc::PeerConnectionInterface::RTCConfiguration]' [ 956s] ../../../../api/proxy.h:172:8: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/peer_connection_interface.h:80, [ 956s] from ../../../../pc/peer_connection_factory.h:20, [ 956s] from ../../../../pc/peer_connection_factory.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] [1473/1909] CC obj/third_party/opus/opus/celt.o [ 956s] [1474/1909] CXX obj/test/fake_video_codecs/fake_vp8_decoder.o [ 956s] [1475/1909] CXX obj/test/fake_video_codecs/fake_vp8_encoder.o [ 956s] [1476/1909] CC obj/third_party/opus/opus/entdec.o [ 956s] [1477/1909] CC obj/third_party/opus/opus/cwrs.o [ 956s] [1478/1909] CC obj/third_party/opus/opus/laplace.o [ 956s] [1479/1909] CXX obj/test/fake_video_codecs/configurable_frame_size_encoder.o [ 956s] [1480/1909] CC obj/third_party/opus/opus/modes.o [ 956s] [1481/1909] CC obj/third_party/opus/opus/entenc.o [ 956s] [1482/1909] CC obj/third_party/opus/opus/mathops.o [ 956s] [1483/1909] CXX obj/media/rtc_internal_video_codecs/internal_decoder_factory.o [ 956s] [1484/1909] CC obj/third_party/opus/opus/vq.o [ 956s] [1485/1909] CC obj/third_party/opus/opus/LPC_analysis_filter.o [ 956s] [1486/1909] CC obj/third_party/opus/opus/HP_variable_cutoff.o [ 956s] [1487/1909] CC obj/third_party/opus/opus/mdct.o [ 956s] [1488/1909] CC obj/third_party/opus/opus/celt_lpc.o [ 956s] [1489/1909] CXX obj/api/audio_codecs/opus/audio_encoder_opus/audio_encoder_opus.o [ 956s] [1490/1909] CXX obj/api/audio_codecs/builtin_audio_decoder_factory/builtin_audio_decoder_factory.o [ 956s] [1491/1909] CC obj/third_party/opus/opus/kiss_fft.o [ 956s] [1492/1909] CC obj/third_party/opus/opus/LPC_fit.o [ 956s] [1493/1909] CC obj/third_party/opus/opus/LP_variable_cutoff.o [ 956s] [1494/1909] CC obj/third_party/opus/opus/decode_core.o [ 956s] [1495/1909] CC obj/third_party/opus/opus/CNG.o [ 956s] [1496/1909] CC obj/third_party/opus/opus/LPC_inv_pred_gain.o [ 956s] [1497/1909] CC obj/third_party/opus/opus/NLSF_VQ_weights_laroia.o [ 956s] [1498/1909] CC obj/third_party/opus/opus/NLSF_decode.o [ 956s] [1499/1909] CC obj/third_party/opus/opus/quant_bands.o [ 956s] [1500/1909] CC obj/third_party/opus/opus/NLSF_VQ.o [ 956s] [1501/1909] CXX obj/media/rtc_internal_video_codecs/multiplex_codec_factory.o [ 956s] [1502/1909] CC obj/third_party/opus/opus/NLSF_unpack.o [ 956s] [1503/1909] CXX obj/api/audio_codecs/builtin_audio_encoder_factory/builtin_audio_encoder_factory.o [ 956s] [1504/1909] CC obj/third_party/opus/opus/NLSF_encode.o [ 956s] [1505/1909] CC obj/third_party/opus/opus/ana_filt_bank_1.o [ 956s] [1506/1909] CC obj/third_party/opus/opus/VQ_WMat_EC.o [ 956s] [1507/1909] CC obj/third_party/opus/opus/bwexpander.o [ 956s] [1508/1909] CC obj/third_party/opus/opus/biquad_alt.o [ 956s] [1509/1909] CC obj/third_party/opus/opus/bwexpander_32.o [ 956s] [1510/1909] CC obj/third_party/opus/opus/NLSF_del_dec_quant.o [ 956s] [1511/1909] CC obj/third_party/opus/opus/check_control_input.o [ 956s] [1512/1909] CC obj/third_party/opus/opus/NLSF_stabilize.o [ 956s] [1513/1909] CC obj/third_party/opus/opus/pitch.o [ 956s] [1514/1909] CC obj/third_party/opus/opus/VAD.o [ 956s] [1515/1909] CC obj/third_party/opus/opus/rate.o [ 956s] [1516/1909] CXX obj/api/audio_codecs/opus/audio_decoder_opus/audio_decoder_opus.o [ 956s] [1517/1909] CC obj/third_party/opus/opus/NLSF2A.o [ 956s] [1518/1909] CXX obj/test/fake_video_codecs/fake_encoder.o [ 956s] [1519/1909] CC obj/third_party/opus/opus/control_audio_bandwidth.o [ 956s] [1520/1909] CC obj/third_party/opus/opus/debug.o [ 956s] [1521/1909] CC obj/third_party/opus/opus/decode_frame.o [ 956s] [1522/1909] CC obj/third_party/opus/opus/control_SNR.o [ 956s] [1523/1909] CXX obj/api/audio_codecs/opus/audio_decoder_multiopus/audio_decoder_multi_channel_opus.o [ 956s] [1524/1909] CC obj/third_party/opus/opus/k2a_FIX.o [ 956s] [1525/1909] CXX obj/modules/audio_coding/webrtc_opus/audio_decoder_opus.o [ 956s] [1526/1909] CC obj/third_party/opus/opus/code_signs.o [ 956s] [1527/1909] CC obj/third_party/opus/opus/decoder_set_fs.o [ 956s] [1528/1909] CC obj/third_party/opus/opus/decode_indices.o [ 956s] [1529/1909] CC obj/third_party/opus/opus/encode_indices.o [ 956s] [1530/1909] CC obj/third_party/opus/opus/decode_parameters.o [ 956s] [1531/1909] CC obj/third_party/opus/opus/decode_pulses.o [ 956s] [1532/1909] CC obj/third_party/opus/opus/decode_pitch.o [ 956s] [1533/1909] CC obj/third_party/opus/opus/A2NLSF.o [ 956s] [1534/1909] CC obj/third_party/opus/opus/find_pred_coefs_FIX.o [ 956s] [1535/1909] CC obj/third_party/opus/opus/init_decoder.o [ 956s] [1536/1909] CXX obj/modules/video_coding/webrtc_vp9/vp9.o [ 956s] [1537/1909] CC obj/third_party/opus/opus/init_encoder.o [ 956s] [1538/1909] CC obj/third_party/opus/opus/lin2log.o [ 956s] [1539/1909] CC obj/third_party/opus/opus/interpolate.o [ 956s] [1540/1909] CC obj/third_party/opus/opus/inner_prod_aligned.o [ 956s] [1541/1909] CC obj/third_party/opus/opus/process_NLSFs.o [ 956s] [1542/1909] CC obj/third_party/opus/opus/gain_quant.o [ 956s] [1543/1909] CC obj/third_party/opus/opus/log2lin.o [ 956s] [1544/1909] CC obj/third_party/opus/opus/pitch_est_tables.o [ 956s] [1545/1909] CC obj/third_party/opus/opus/NSQ.o [ 956s] [1546/1909] CC obj/third_party/opus/opus/resampler_private_AR2.o [ 956s] [1547/1909] CXX obj/api/audio_codecs/opus/audio_encoder_multiopus/audio_encoder_multi_channel_opus.o [ 956s] [1548/1909] CC obj/third_party/opus/opus/control_codec.o [ 956s] [1549/1909] CC obj/third_party/opus/opus/resampler_down2.o [ 956s] [1550/1909] CC obj/third_party/opus/opus/resampler_rom.o [ 956s] [1551/1909] CC obj/third_party/opus/opus/sigm_Q15.o [ 956s] [1552/1909] CXX obj/modules/audio_coding/webrtc_multiopus/audio_decoder_multi_channel_opus_impl.o [ 956s] [1553/1909] CC obj/third_party/opus/opus/PLC.o [ 956s] [1554/1909] CXX obj/test/fake_video_codecs/fake_decoder.o [ 956s] [1555/1909] CC obj/third_party/opus/opus/resampler_private_IIR_FIR.o [ 956s] [1556/1909] CC obj/third_party/opus/opus/resampler_down2_3.o [ 956s] [1557/1909] CC obj/third_party/opus/opus/encode_pulses.o [ 956s] [1558/1909] CC obj/third_party/opus/opus/stereo_encode_pred.o [ 956s] [1559/1909] CC obj/third_party/opus/opus/quant_LTP_gains.o [ 956s] [1560/1909] CC obj/third_party/opus/opus/stereo_find_predictor.o [ 956s] [1561/1909] CC obj/third_party/opus/opus/dec_API.o [ 956s] [1562/1909] CC obj/third_party/opus/opus/stereo_decode_pred.o [ 956s] [1563/1909] CC obj/third_party/opus/opus/resampler.o [ 956s] [1564/1909] CC obj/third_party/opus/opus/resampler_private_down_FIR.o [ 956s] [1565/1909] CC obj/third_party/opus/opus/resampler_private_up2_HQ.o [ 956s] [1566/1909] CC obj/third_party/opus/opus/sum_sqr_shift.o [ 956s] [1567/1909] CC obj/third_party/opus/opus/tables_pitch_lag.o [ 956s] [1568/1909] CC obj/third_party/opus/opus/tables_other.o [ 956s] [1569/1909] CC obj/third_party/opus/opus/tables_gain.o [ 956s] [1570/1909] CC obj/third_party/opus/opus/tables_NLSF_CB_WB.o [ 956s] [1571/1909] CC obj/third_party/opus/opus/stereo_MS_to_LR.o [ 956s] [1572/1909] CC obj/third_party/opus/opus/celt_decoder.o [ 956s] [1573/1909] CC obj/third_party/opus/opus/stereo_quant_pred.o [ 956s] [1574/1909] CC obj/third_party/opus/opus/table_LSF_cos.o [ 956s] [1575/1909] CC obj/third_party/opus/opus/tables_NLSF_CB_NB_MB.o [ 956s] [1576/1909] CC obj/third_party/opus/opus/tables_LTP.o [ 956s] [1577/1909] CC obj/third_party/opus/opus/sort.o [ 956s] [1578/1909] CC obj/third_party/opus/opus/shell_coder.o [ 956s] [1579/1909] CC obj/third_party/opus/opus/tables_pulses_per_block.o [ 956s] [1580/1909] CC obj/third_party/libvpx/libvpx/entropymv.o [ 956s] [1581/1909] CC obj/third_party/opus/opus/mlp.o [ 956s] [1582/1909] CC obj/third_party/libvpx/libvpx/blockd.o [ 956s] [1583/1909] CC obj/third_party/libvpx/libvpx/entropymode.o [ 956s] [1584/1909] CC obj/third_party/libvpx/libvpx/dequantize.o [ 956s] [1585/1909] CC obj/third_party/libvpx/libvpx/entropy.o [ 956s] [1586/1909] CC obj/third_party/libvpx/libvpx/systemdependent.o [ 956s] [1587/1909] CC obj/third_party/libvpx/libvpx/extend.o [ 956s] [1588/1909] CC obj/third_party/libvpx/libvpx/findnearmv.o [ 956s] [1589/1909] CC obj/third_party/libvpx/libvpx/idct_blk.o [ 956s] [1590/1909] CC obj/third_party/libvpx/libvpx/modecont.o [ 956s] [1591/1909] CC obj/third_party/libvpx/libvpx/mbpitch.o [ 956s] [1592/1909] CC obj/third_party/libvpx/libvpx/idct_blk_neon.o [ 956s] [1593/1909] CC obj/third_party/libvpx/libvpx/idctllm.o [ 956s] [1594/1909] CC obj/third_party/libvpx/libvpx/dequantizeb_neon.o [ 956s] [1595/1909] CC obj/third_party/libvpx/libvpx/shortidct4x4llm_neon.o [ 956s] [1596/1909] CC obj/third_party/libvpx/libvpx/vp9_encodeframe.o [ 956s] [1597/1909] CC obj/third_party/libvpx/libvpx/rtcd.o [ 956s] [1598/1909] CC obj/third_party/libvpx/libvpx/loopfiltersimplehorizontaledge_neon.o [ 956s] [1599/1909] CC obj/third_party/libvpx/libvpx/filter.o [ 956s] [1600/1909] CC obj/third_party/libvpx/libvpx/quant_common.o [ 956s] [1601/1909] CC obj/third_party/libvpx/libvpx/swapyv12buffer.o [ 956s] [1602/1909] CC obj/third_party/opus/opus/NSQ_del_dec.o [ 956s] [1603/1909] CC obj/third_party/opus/opus/stereo_LR_to_MS.o [ 956s] [1604/1909] CC obj/third_party/libvpx/libvpx/iwalsh_neon.o [ 956s] [1605/1909] CC obj/third_party/libvpx/libvpx/setupintrarecon.o [ 956s] [1606/1909] CC obj/third_party/libvpx/libvpx/dboolhuff.o [ 956s] [1607/1909] CC obj/third_party/libvpx/libvpx/treecoder.o [ 956s] [1608/1909] CC obj/third_party/libvpx/libvpx/reconintra.o [ 956s] [1609/1909] CC obj/third_party/libvpx/libvpx/reconintra4x4.o [ 956s] [1610/1909] CC obj/third_party/opus/opus/enc_API.o [ 956s] [1611/1909] CC obj/third_party/libvpx/libvpx/loopfiltersimpleverticaledge_neon.o [ 956s] [1612/1909] CC obj/third_party/libvpx/libvpx/mfqe.o [ 956s] [1613/1909] CC obj/third_party/libvpx/libvpx/vp8_loopfilter_neon.o [ 956s] [1614/1909] CC obj/third_party/libvpx/libvpx/loopfilter_filters.o [ 956s] [1615/1909] CC obj/third_party/libvpx/libvpx/postproc.o [ 956s] [1616/1909] CC obj/third_party/libvpx/libvpx/copy_c.o [ 956s] [1617/1909] CC obj/third_party/libvpx/libvpx/vp8_skin_detection.o [ 956s] [1618/1909] CC obj/third_party/libvpx/libvpx/detokenize.o [ 956s] [1619/1909] CC obj/third_party/libvpx/libvpx/boolhuff.o [ 956s] [1620/1909] CC obj/third_party/libvpx/libvpx/mbloopfilter_neon.o [ 956s] [1621/1909] CC obj/third_party/libvpx/libvpx/dct.o [ 956s] [1622/1909] CC obj/third_party/libvpx/libvpx/reconinter.o [ 956s] [1623/1909] CC obj/third_party/libvpx/libvpx/vp8_loopfilter.o [ 956s] [1624/1909] CC obj/third_party/libvpx/libvpx/encodeintra.o [ 956s] [1625/1909] CC obj/third_party/libvpx/libvpx/lookahead.o [ 956s] [1626/1909] CC obj/third_party/libvpx/libvpx/onyxd_if.o [ 956s] [1627/1909] CC obj/third_party/libvpx/libvpx/modecosts.o [ 956s] [1628/1909] CC obj/third_party/libvpx/libvpx/vp8_shortwalsh4x4_neon.o [ 956s] [1629/1909] CC obj/third_party/libvpx/libvpx/fastquantizeb_neon.o [ 956s] [1630/1909] CC obj/third_party/libvpx/libvpx/shortfdct_neon.o [ 956s] [1631/1909] CC obj/third_party/libvpx/libvpx/denoising_neon.o [ 956s] [1632/1909] CC obj/third_party/libvpx/libvpx/segmentation.o [ 956s] [1633/1909] CC obj/third_party/libvpx/libvpx/encodemv.o [ 956s] [1634/1909] CC obj/third_party/libvpx/libvpx/denoising.o [ 956s] [1635/1909] CC obj/third_party/opus/opus/bands.o [ 956s] [1636/1909] CC obj/third_party/libvpx/libvpx/vp9_extend.o [ 956s] [1637/1909] CC obj/third_party/libvpx/libvpx/sixtappredict_neon.o [ 956s] [1638/1909] CXX obj/modules/audio_coding/webrtc_multiopus/audio_encoder_multi_channel_opus_impl.o [ 956s] [1639/1909] CC obj/third_party/libvpx/libvpx/decodemv.o [ 956s] [1640/1909] CC obj/third_party/libvpx/libvpx/picklpf.o [ 956s] [1641/1909] CC obj/third_party/libvpx/libvpx/mr_dissim.o [ 956s] [1642/1909] CC obj/third_party/libvpx/libvpx/vp9_frame_scale.o [ 956s] [1643/1909] CC obj/third_party/libvpx/libvpx/encodemb.o [ 956s] [1644/1909] CC obj/third_party/libvpx/libvpx/vp9_lookahead.o [ 956s] [1645/1909] CC obj/third_party/libvpx/libvpx/ethreading.o [ 956s] [1646/1909] CC obj/third_party/libvpx/libvpx/vp9_picklpf.o [ 956s] [1647/1909] CXX obj/pc/rtc_pc_base/media_session.o [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/dtls_srtp_transport.h:21, [ 956s] from ../../../../pc/jsep_transport.h:26, [ 956s] from ../../../../pc/media_session.h:26, [ 956s] from ../../../../pc/media_session.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../call/call.h:24, [ 956s] from ../../../../pc/channel_manager.h:23, [ 956s] from ../../../../pc/media_session.cc:30: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [1648/1909] CC obj/third_party/libvpx/libvpx/vp9_treewriter.o [ 956s] [1649/1909] CC obj/third_party/libvpx/libvpx/ratectrl.o [ 956s] [1650/1909] CC obj/third_party/libvpx/libvpx/vp9_multi_thread.o [ 956s] [1651/1909] CC obj/third_party/libvpx/libvpx/vp9_noise_estimate.o [ 956s] [1652/1909] CC obj/third_party/libvpx/libvpx/threading.o [ 956s] [1653/1909] CC obj/third_party/libvpx/libvpx/tokenize.o [ 956s] [1654/1909] CC obj/third_party/libvpx/libvpx/vp9_skin_detection.o [ 956s] [1655/1909] CC obj/third_party/libvpx/libvpx/vp9_quantize.o [ 956s] [1656/1909] CC obj/third_party/libvpx/libvpx/decodeframe.o [ 956s] [1657/1909] CC obj/third_party/libvpx/libvpx/vpx_codec.o [ 956s] [1658/1909] CC obj/third_party/libvpx/libvpx/vp9_segmentation.o [ 956s] [1659/1909] CC obj/third_party/libvpx/libvpx/encodeframe.o [ 956s] [1660/1909] CC obj/third_party/libvpx/libvpx/vp9_subexp.o [ 956s] [1661/1909] CC obj/third_party/libvpx/libvpx/vp9_tokenize.o [ 956s] [1662/1909] CC obj/third_party/libvpx/libvpx/vpx_decoder.o [ 956s] [1663/1909] CC obj/third_party/libvpx/libvpx/bitstream.o [ 956s] [1664/1909] CC obj/third_party/libvpx/libvpx/vpx_image.o [ 956s] [1665/1909] CC obj/third_party/libvpx/libvpx/add_noise.o [ 956s] [1666/1909] CC obj/third_party/libvpx/libvpx/vp9_resize.o [ 956s] [1667/1909] CC obj/third_party/libvpx/libvpx/vp9_dx_iface.o [ 956s] [1668/1909] CC obj/third_party/libvpx/libvpx/vpx_encoder.o [ 956s] [1669/1909] CC obj/third_party/libvpx/libvpx/avg_pred_neon.o [ 956s] [1670/1909] CC obj/third_party/libvpx/libvpx/vp9_frame_scale_neon.o [ 956s] [1671/1909] CC obj/third_party/libvpx/libvpx/vp9_rd.o [ 956s] [1672/1909] CC obj/third_party/libvpx/libvpx/hadamard_neon.o [ 956s] [1673/1909] CC obj/third_party/libvpx/libvpx/vp9_speed_features.o [ 956s] [1674/1909] CC obj/third_party/libvpx/libvpx/idct16x16_1_add_neon.o [ 956s] [1675/1909] CC obj/third_party/libvpx/libvpx/fdct_partial_neon.o [ 956s] [1676/1909] CC obj/third_party/libvpx/libvpx/fdct_neon.o [ 956s] [1677/1909] CC obj/third_party/libvpx/libvpx/subtract.o [ 956s] [1678/1909] CC obj/third_party/libvpx/libvpx/avg_neon.o [ 956s] [1679/1909] CC obj/third_party/libvpx/libvpx/fwd_txfm_neon.o [ 956s] [1680/1909] CC obj/third_party/libvpx/libvpx/sum_squares.o [ 956s] [1681/1909] CC obj/third_party/libvpx/libvpx/arm_cpudetect.o [ 956s] [1682/1909] CC obj/third_party/libvpx/libvpx/vpx_dsp_rtcd.o [ 956s] [1683/1909] CC obj/third_party/opus/opus/analysis.o [ 956s] [1684/1909] CC obj/third_party/libvpx/libvpx/vpx_mem.o [ 956s] [1685/1909] CC obj/third_party/libvpx/libvpx/idct32x32_1_add_neon.o [ 956s] [1686/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/idct4x4_1_add_neon.asm.o [ 956s] [1687/1909] CC obj/third_party/libvpx/libvpx/idct8x8_1_add_neon.o [ 956s] [1688/1909] CC obj/third_party/libvpx/libvpx/vpx_write_yuv_frame.o [ 956s] [1689/1909] CC obj/third_party/libvpx/libvpx/pickinter.o [ 956s] [1690/1909] CC obj/third_party/libvpx/libvpx/vpx_scale_rtcd.o [ 956s] [1691/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/idct_neon.asm.o [ 956s] [1692/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/intrapred_neon_asm.asm.o [ 956s] [1693/1909] CC obj/third_party/libvpx/libvpx/mcomp.o [ 956s] [1694/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/loopfilter_4_neon.asm.o [ 956s] [1695/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/loopfilter_16_neon.asm.o [ 956s] [1696/1909] CC obj/third_party/libvpx/libvpx/gen_scalers.o [ 956s] [1697/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/loopfilter_8_neon.asm.o [ 956s] [1698/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/save_reg_neon.asm.o [ 956s] [1699/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_avg_horiz_filter_type2_neon.asm.o [ 956s] [1700/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_avg_horiz_filter_type1_neon.asm.o [ 956s] [1701/1909] CC obj/third_party/libvpx/libvpx/deblock_neon.o [ 956s] [1702/1909] CC obj/third_party/libvpx/libvpx/vpx_convolve.o [ 956s] [1703/1909] CC obj/third_party/libvpx/libvpx/yv12config.o [ 956s] [1704/1909] CC obj/third_party/libvpx/libvpx/vpx_thread.o [ 956s] [1705/1909] AR obj/third_party/libyuv/libyuv_neon.a [ 956s] [1706/1909] CC obj/third_party/libvpx/libvpx/yv12extend.o [ 956s] [1707/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_avg_vert_filter_type1_neon.asm.o [ 956s] [1708/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/idct4x4_add_neon.asm.o [ 956s] [1709/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_avg_vert_filter_type2_neon.asm.o [ 956s] [1710/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_horiz_filter_type1_neon.asm.o [ 956s] [1711/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_vert_filter_type1_neon.asm.o [ 956s] [1712/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_horiz_filter_type2_neon.asm.o [ 956s] [1713/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve8_vert_filter_type2_neon.asm.o [ 956s] [1714/1909] CC obj/third_party/libvpx/libvpx/vpx_scale.o [ 956s] [1715/1909] STAMP obj/third_party/libyuv/libyuv.stamp [ 956s] [1716/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve_avg_neon_asm.asm.o [ 956s] [1717/1909] ASM obj/third_party/libvpx/libvpx_assembly_arm/vpx_convolve_copy_neon_asm.asm.o [ 956s] [1718/1909] AR obj/third_party/pffft/libpffft.a [ 956s] [1719/1909] CC obj/third_party/opus/opus/mlp_data.o [ 956s] [1720/1909] AR obj/third_party/libvpx/libvpx_assembly_arm.a [ 956s] [1721/1909] CXX obj/modules/video_coding/webrtc_vp8/libvpx_vp8_encoder.o [ 956s] ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.cc: In member function 'virtual webrtc::VideoEncoder::EncoderInfo webrtc::LibvpxVp8Encoder::GetEncoderInfo() const': [ 956s] ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.cc:1194:64: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 1194 | : VideoEncoder::ScalingSettings::kOff; [ 956s] | ^~~~ [ 956s] In file included from ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.h:20, [ 956s] from ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.cc:11: [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] [1722/1909] STAMP obj/modules/audio_processing/utility/pffft_wrapper.stamp [ 956s] [1723/1909] STAMP obj/api/video/video_frame_i420.stamp [ 956s] [1724/1909] CC obj/third_party/libvpx/libvpx/vp9_rdopt.o [ 956s] [1725/1909] CC obj/third_party/libvpx/libvpx/vp9_svc_layercontext.o [ 956s] [1726/1909] STAMP obj/api/video/video_frame_i010.stamp [ 956s] [1727/1909] STAMP obj/modules/audio_processing/agc2/rnn_vad/rnn_vad.stamp [ 956s] [1728/1909] AR obj/common_video/libcommon_video.a [ 956s] [1729/1909] CC obj/third_party/opus/opus/opus_multistream.o [ 956s] [1730/1909] CC obj/third_party/opus/opus/apply_sine_window_FIX.o [ 956s] [1731/1909] CC obj/third_party/opus/opus/LTP_scale_ctrl_FIX.o [ 956s] [1732/1909] CC obj/third_party/opus/opus/LTP_analysis_filter_FIX.o [ 956s] [1733/1909] CC obj/third_party/opus/opus/autocorr_FIX.o [ 956s] [1734/1909] STAMP obj/modules/audio_processing/agc2/rnn_vad_with_level.stamp [ 956s] [1735/1909] STAMP obj/modules/video_coding/video_codec_interface.stamp [ 956s] [1736/1909] STAMP obj/modules/rtp_rtcp/rtp_rtcp_format.stamp [ 956s] [1737/1909] AR obj/modules/video_processing/libvideo_processing.a [ 956s] [1738/1909] CC obj/third_party/libvpx/libvpx/idct16x16_add_neon.o [ 956s] [1739/1909] STAMP obj/modules/audio_processing/agc2/adaptive_digital.stamp [ 956s] [1740/1909] AR obj/modules/video_coding/libencoded_frame.a [ 956s] [1741/1909] AR obj/modules/congestion_controller/rtp/libtransport_feedback.a [ 956s] [1742/1909] CXX obj/video/video/rtp_video_stream_receiver.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../video/buffered_frame_decryptor.h:20, [ 956s] from ../../../../video/rtp_video_stream_receiver.h:44, [ 956s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../video/buffered_frame_decryptor.h:20, [ 956s] from ../../../../video/rtp_video_stream_receiver.h:44, [ 956s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../video/rtp_video_stream_receiver.h:21, [ 956s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_object.h:15, [ 956s] from ../../../../video/buffered_frame_decryptor.h:20, [ 956s] from ../../../../video/rtp_video_stream_receiver.h:44, [ 956s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../video/rtp_video_stream_receiver.h:21, [ 956s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpGenericFrameDescriptor&; T = webrtc::RtpGenericFrameDescriptor]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpGenericFrameDescriptor]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpGenericFrameDescriptor& webrtc::RtpGenericFrameDescriptor::operator=(const webrtc::RtpGenericFrameDescriptor&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/packet.h:20, [ 956s] from ../../../../modules/video_coding/loss_notification_controller.h:18, [ 956s] from ../../../../video/rtp_video_stream_receiver.h:35, [ 956s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 956s] ../../../../modules/rtp_rtcp/source/rtp_generic_frame_descriptor.h:32:3: note: because 'webrtc::RtpGenericFrameDescriptor' has user-provided 'webrtc::RtpGenericFrameDescriptor::RtpGenericFrameDescriptor(const webrtc::RtpGenericFrameDescriptor&)' [ 956s] 32 | RtpGenericFrameDescriptor(const RtpGenericFrameDescriptor&); [ 956s] | ^~~~~~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../video/rtp_video_stream_receiver.cc: In member function 'int32_t webrtc::RtpVideoStreamReceiver::OnReceivedPayloadData(const uint8_t*, size_t, const webrtc::RTPHeader&, const webrtc::RTPVideoHeader&, const absl::optional&, bool)': [ 956s] ../../../../video/rtp_video_stream_receiver.cc:286:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 956s] 286 | RequestKeyFrame(); [ 956s] | ~~~~~~~~~~~~~~~^~ [ 956s] ../../../../video/rtp_video_stream_receiver.cc:288:7: note: here [ 956s] 288 | case video_coding::H264SpsPpsTracker::kDrop: [ 956s] | ^~~~ [ 956s] [1743/1909] STAMP obj/call/rtp_interfaces.stamp [ 956s] [1744/1909] STAMP obj/logging/rtc_event_rtp_rtcp.stamp [ 956s] [1745/1909] CC obj/third_party/opus/opus/find_LPC_FIX.o [ 956s] [1746/1909] CXX obj/pc/peerconnection/webrtc_sdp.o [ 956s] In file included from ../../../../pc/webrtc_sdp.cc:31: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../pc/webrtc_sdp.cc:29: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/rtp_transport.h:18, [ 956s] from ../../../../pc/srtp_transport.h:24, [ 956s] from ../../../../pc/dtls_srtp_transport.h:21, [ 956s] from ../../../../pc/jsep_transport.h:26, [ 956s] from ../../../../pc/media_session.h:26, [ 956s] from ../../../../pc/webrtc_sdp.cc:42: [ 956s] ../../../../pc/session_description.h: At global scope: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/webrtc_sdp.cc: In function 'bool webrtc::ParseCandidate(const string&, cricket::Candidate*, webrtc::SdpParseError*, bool)': [ 956s] ../../../../pc/webrtc_sdp.cc:1220:74: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 1220 | generation, foundation, network_id, network_cost); [ 956s] | ^ [ 956s] In file included from ../../../../pc/webrtc_sdp.cc:29: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] [1747/1909] STAMP obj/modules/audio_processing/agc2/level_estimation_agc.stamp [ 956s] [1748/1909] STAMP obj/call/bitrate_configurator.stamp [ 956s] [1749/1909] STAMP obj/api/video/encoded_frame.stamp [ 956s] [1750/1909] AR obj/modules/congestion_controller/libtransport_feedback.a [ 956s] [1751/1909] AR obj/modules/remote_bitrate_estimator/libremote_bitrate_estimator.a [ 956s] [1752/1909] AR obj/modules/video_coding/libpacket.a [ 956s] [1753/1909] AR obj/modules/video_coding/libwebrtc_vp9_helpers.a [ 956s] [1754/1909] STAMP obj/call/video_stream_api.stamp [ 956s] [1755/1909] STAMP obj/modules/audio_processing/agc/agc.stamp [ 956s] [1756/1909] CXX obj/modules/audio_coding/webrtc_opus/audio_encoder_opus.o [ 956s] [1757/1909] CC obj/third_party/opus/opus/find_pitch_lags_FIX.o [ 956s] [1758/1909] CC obj/third_party/opus/opus/find_LTP_FIX.o [ 956s] [1759/1909] STAMP obj/logging/rtc_event_bwe.stamp [ 956s] [1760/1909] AR obj/modules/video_coding/libnack_module.a [ 956s] [1761/1909] CC obj/third_party/opus/opus/repacketizer.o [ 956s] [1762/1909] CC obj/third_party/opus/opus/corrMatrix_FIX.o [ 956s] [1763/1909] CC obj/third_party/opus/opus/opus.o [ 956s] [1764/1909] AR obj/modules/rtp_rtcp/librtp_rtcp.a [ 956s] [1765/1909] CC obj/third_party/libvpx/libvpx/rdopt.o [ 956s] [1766/1909] STAMP obj/logging/logging.stamp [ 956s] [1767/1909] AR obj/modules/audio_processing/libaudio_processing.a [ 956s] [1768/1909] STAMP obj/modules/congestion_controller/goog_cc/estimators.stamp [ 956s] [1769/1909] STAMP obj/modules/congestion_controller/goog_cc/probe_controller.stamp [ 956s] [1770/1909] CC obj/third_party/opus/opus/k2a_Q16_FIX.o [ 956s] [1771/1909] STAMP obj/call/rtp_receiver.stamp [ 956s] [1772/1909] AR obj/modules/pacing/libpacing.a [ 956s] [1773/1909] STAMP obj/modules/video_coding/video_coding_utility.stamp [ 956s] [1774/1909] CC obj/third_party/opus/opus/regularize_correlations_FIX.o [ 956s] [1775/1909] AR obj/modules/audio_mixer/libaudio_mixer_impl.a [ 956s] [1776/1909] CC obj/third_party/opus/opus/celt_encoder.o [ 956s] [1777/1909] STAMP obj/call/call_interfaces.stamp [ 956s] [1778/1909] CC obj/third_party/opus/opus/opus_multistream_decoder.o [ 956s] [1779/1909] STAMP obj/modules/audio_processing/aec_dump/aec_dump.stamp [ 956s] [1780/1909] AR obj/media/librtc_simulcast_encoder_adapter.a [ 956s] [1781/1909] CC obj/third_party/libvpx/libvpx/vp9_cx_iface.o [ 956s] [1782/1909] STAMP obj/modules/congestion_controller/goog_cc/delay_based_bwe.stamp [ 956s] [1783/1909] CC obj/third_party/opus/opus/residual_energy_FIX.o [ 956s] [1784/1909] AR obj/modules/video_coding/libwebrtc_vp8_temporal_layers.a [ 956s] [1785/1909] AR obj/modules/video_coding/libwebrtc_multiplex.a [ 956s] [1786/1909] AR obj/media/librtc_encoder_simulcast_proxy.a [ 956s] [1787/1909] STAMP obj/modules/audio_mixer/audio_mixer.stamp [ 956s] [1788/1909] STAMP obj/call/simulated_packet_receiver.stamp [ 956s] [1789/1909] STAMP obj/modules/audio_processing/aec_dump/null_aec_dump_factory.stamp [ 956s] [1790/1909] CC obj/third_party/libvpx/libvpx/fdct16x16_neon.o [ 956s] [1791/1909] AR obj/media/librtc_media_base.a [ 956s] [1792/1909] ASM obj/third_party/opus/opus/celt_pitch_xcorr_arm_gnu.o [ 956s] [1793/1909] AR obj/modules/bitrate_controller/libbitrate_controller.a [ 956s] [1794/1909] CC obj/third_party/opus/opus/process_gains_FIX.o [ 956s] [1795/1909] AR obj/api/video_codecs/librtc_software_fallback_wrappers.a [ 956s] [1796/1909] CC obj/third_party/opus/opus/opus_decoder.o [ 956s] [1797/1909] AR obj/api/video_codecs/libvp8_temporal_layers_factory.a [ 956s] [1798/1909] STAMP obj/call/bitrate_allocator.stamp [ 956s] [1799/1909] AR obj/api/video/libbuiltin_video_bitrate_allocator_factory.a [ 956s] [1800/1909] CC obj/third_party/opus/opus/schur64_FIX.o [ 956s] [1801/1909] STAMP obj/call/fake_network.stamp [ 956s] [1802/1909] CC obj/third_party/opus/opus/residual_energy16_FIX.o [ 956s] [1803/1909] CC obj/third_party/opus/opus/arm_celt_map.o [ 956s] [1804/1909] AR obj/modules/congestion_controller/libcongestion_controller.a [ 956s] [1805/1909] CC obj/third_party/opus/opus/schur_FIX.o [ 956s] [1806/1909] AR obj/modules/video_coding/libwebrtc_h264.a [ 956s] [1807/1909] AR obj/modules/congestion_controller/goog_cc/libgoog_cc.a [ 956s] [1808/1909] AR obj/modules/video_capture/libvideo_capture_module.a [ 956s] [1809/1909] CC obj/third_party/opus/opus/warped_autocorrelation_FIX.o [ 956s] [1810/1909] CC obj/third_party/opus/opus/armcpu.o [ 956s] [1811/1909] AR obj/audio/libaudio.a [ 956s] [1812/1909] AR obj/modules/video_coding/libvideo_coding.a [ 956s] [1813/1909] AR obj/api/transport/libgoog_cc.a [ 956s] [1814/1909] CC obj/third_party/opus/opus/vector_ops_FIX.o [ 956s] [1815/1909] CC obj/third_party/opus/opus/burg_modified_FIX.o [ 956s] [1816/1909] CC obj/third_party/opus/opus/arm_silk_map.o [ 956s] [1817/1909] STAMP obj/modules/congestion_controller/rtp/control_handler.stamp [ 956s] [1818/1909] CC obj/third_party/opus/opus/encode_frame_FIX.o [ 956s] [1819/1909] STAMP obj/modules/video_capture/video_capture_internal_impl.stamp [ 956s] [1820/1909] STAMP obj/modules/modules.stamp [ 956s] [1821/1909] CXX obj/modules/video_coding/webrtc_vp9/vp9_impl.o [ 956s] ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc: In member function 'virtual int webrtc::VP9EncoderImpl::GetEncodedLayerFrame(const vpx_codec_cx_pkt*)': [ 956s] ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:1439:22: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 1439 | codec_specific_ = {}; [ 956s] | ^ [ 956s] In file included from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:20, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc: In member function 'virtual webrtc::VideoEncoder::EncoderInfo webrtc::VP9EncoderImpl::GetEncoderInfo() const': [ 956s] ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:1533:58: warning: implicitly-declared 'webrtc::VideoEncoder::ScalingSettings& webrtc::VideoEncoder::ScalingSettings::operator=(const webrtc::VideoEncoder::ScalingSettings&)' is deprecated [-Wdeprecated-copy] [ 956s] 1533 | info.scaling_settings = VideoEncoder::ScalingSettings::kOff; [ 956s] | ^~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:19, [ 956s] from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:20, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 956s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 956s] 106 | ScalingSettings(const ScalingSettings&); [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_parameters.h:19, [ 956s] from ../../../../media/base/codec.h:19, [ 956s] from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:19, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:20, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 956s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [1822/1909] STAMP obj/call/rtp_sender.stamp [ 956s] [1823/1909] CC obj/third_party/usrsctp/usrsctp/sctp_sha1.o [ 956s] [1824/1909] CXX obj/video/video/send_statistics_proxy.o [ 956s] [1825/1909] CC obj/third_party/usrsctp/usrsctp/user_recv_thread.o [ 956s] [1826/1909] CC obj/third_party/usrsctp/usrsctp/sctp6_usrreq.o [ 956s] [1827/1909] CC obj/third_party/opus/opus/noise_shape_analysis_FIX.o [ 956s] [1828/1909] CC obj/third_party/usrsctp/usrsctp/sctp_peeloff.o [ 956s] [1829/1909] CC obj/third_party/usrsctp/usrsctp/sctp_userspace.o [ 956s] [1830/1909] CC obj/third_party/opus/opus/pitch_neon_intr.o [ 956s] [1831/1909] CC obj/third_party/opus/opus/NSQ_neon.o [ 956s] [1832/1909] CC obj/third_party/usrsctp/usrsctp/user_environment.o [ 956s] [1833/1909] CC obj/third_party/usrsctp/usrsctp/sctp_sysctl.o [ 956s] [1834/1909] CC obj/third_party/opus/opus/celt_neon_intr.o [ 956s] [1835/1909] CC obj/third_party/opus/opus/LPC_inv_pred_gain_neon_intr.o [ 956s] [1836/1909] CC obj/third_party/opus/opus/biquad_alt_neon_intr.o [ 956s] [1837/1909] CC obj/third_party/libvpx/libvpx/idct32x32_add_neon.o [ 956s] [1838/1909] CC obj/third_party/libvpx/libvpx/variance.o [ 956s] [1839/1909] CC obj/third_party/libvpx/libvpx/vp9_ratectrl.o [ 956s] [1840/1909] STAMP obj/video/frame_dumping_decoder.stamp [ 956s] [1841/1909] CC obj/third_party/libvpx/libvpx/idct32x32_34_add_neon.o [ 956s] [1842/1909] CC obj/third_party/opus/opus/warped_autocorrelation_FIX_neon_intr.o [ 956s] [1843/1909] CC obj/third_party/opus/opus/opus_multistream_encoder.o [ 956s] [1844/1909] CC obj/third_party/opus/opus/pitch_analysis_core_FIX.o [ 956s] [1845/1909] CC obj/third_party/usrsctp/usrsctp/sctp_ss_functions.o [ 956s] [1846/1909] CC obj/third_party/libvpx/libvpx/vp9_bitstream.o [ 956s] [1847/1909] CC obj/third_party/libvpx/libvpx/idct32x32_135_add_neon.o [ 956s] [1848/1909] CC obj/third_party/usrsctp/usrsctp/user_mbuf.o [ 956s] [1849/1909] CC obj/third_party/libvpx/libvpx/onyx_if.o [ 956s] [1850/1909] CC obj/third_party/usrsctp/usrsctp/sctp_timer.o [ 956s] [1851/1909] CC obj/third_party/opus/opus/NSQ_del_dec_neon_intr.o [ 956s] ../../../../third_party/opus/src/silk/arm/NSQ_del_dec_neon_intr.c: In function 'silk_NSQ_del_dec_neon': [ 956s] ../../../../third_party/opus/src/silk/arm/NSQ_del_dec_neon_intr.c:422:55: warning: iteration 80 invokes undefined behavior [-Waggressive-loop-optimizations] [ 956s] 422 | NSQ->sLPC_Q14[ i ] = psDelDec->sLPC_Q14[ i ][ Winner_ind ]; [ 956s] | ~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~ [ 956s] ../../../../third_party/opus/src/silk/arm/NSQ_del_dec_neon_intr.c:421:9: note: within this loop [ 956s] 421 | for( ; i < NSQ_LPC_BUF_LENGTH; i++ ) { [ 956s] | ^~~ [ 956s] [1852/1909] CXX obj/video/video/quality_threshold.o [ 956s] [1853/1909] CXX obj/video/video/quality_limitation_reason_tracker.o [ 956s] [1854/1909] CXX obj/video/video/rtp_streams_synchronizer.o [ 956s] [1855/1909] CC obj/third_party/libvpx/libvpx/vp9_encoder.o [ 956s] [1856/1909] CXX obj/video/video/report_block_stats.o [ 956s] [1857/1909] CC obj/third_party/usrsctp/usrsctp/user_socket.o [ 956s] [1858/1909] CC obj/third_party/opus/opus/opus_encoder.o [ 956s] [1859/1909] AR obj/third_party/opus/libopus.a [ 956s] [1860/1909] STAMP obj/modules/audio_coding/webrtc_opus_c.stamp [ 956s] [1861/1909] AR obj/modules/audio_coding/libwebrtc_opus.a [ 956s] [1862/1909] AR obj/modules/audio_coding/libwebrtc_multiopus.a [ 956s] [1863/1909] AR obj/api/audio_codecs/opus/libaudio_decoder_opus.a [ 956s] [1864/1909] AR obj/api/audio_codecs/opus/libaudio_decoder_multiopus.a [ 956s] [1865/1909] STAMP obj/api/audio_codecs/opus/audio_encoder_multiopus.stamp [ 956s] [1866/1909] STAMP obj/api/audio_codecs/opus/audio_encoder_opus.stamp [ 956s] [1867/1909] AR obj/api/audio_codecs/libbuiltin_audio_decoder_factory.a [ 956s] [1868/1909] AR obj/api/audio_codecs/libbuiltin_audio_encoder_factory.a [ 956s] [1869/1909] CXX obj/video/video/video_quality_observer.o [ 956s] [1870/1909] CC obj/third_party/usrsctp/usrsctp/sctp_pcb.o [ 956s] [1871/1909] CXX obj/video/video_stream_encoder_impl/encoder_bitrate_adjuster.o [ 956s] [1872/1909] CC obj/third_party/libvpx/libvpx/vp9_pickmode.o [ 956s] [1873/1909] CC obj/third_party/usrsctp/usrsctp/sctp_input.o [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c: In function 'sctp_handle_stream_reset_response': [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c:3884:64: warning: taking address of packed member of 'struct sctp_stream_reset_out_request' may result in an unaligned pointer value [-Waddress-of-packed-member] [ 956s] 3884 | sctp_reset_out_streams(stcb, number_entries, req_out_param->list_of_streams); [ 956s] | ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c:3897:66: warning: taking address of packed member of 'struct sctp_stream_reset_out_request' may result in an unaligned pointer value [-Waddress-of-packed-member] [ 956s] 3897 | sctp_reset_clear_pending(stcb, number_entries, req_out_param->list_of_streams); [ 956s] | ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c: In function 'sctp_handle_str_reset_request_out': [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c:4175:50: warning: taking address of packed member of 'struct sctp_stream_reset_out_request' may result in an unaligned pointer value [-Waddress-of-packed-member] [ 956s] 4175 | sctp_reset_in_stream(stcb, number_entries, req->list_of_streams); [ 956s] | ~~~^~~~~~~~~~~~~~~~~ [ 956s] [1874/1909] CC obj/third_party/usrsctp/usrsctp/sctputil.o [ 956s] [1875/1909] CXX obj/video/video/video_stream_decoder.o [ 956s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_decoder.cc:14: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_decoder.cc:14: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/rtp_headers.h:18, [ 956s] from ../../../../modules/include/module_common_types.h:18, [ 956s] from ../../../../modules/remote_bitrate_estimator/include/remote_bitrate_estimator.h:20, [ 956s] from ../../../../video/video_stream_decoder.h:21, [ 956s] from ../../../../video/video_stream_decoder.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 956s] from ../../../../modules/video_coding/decoder_database.h:17, [ 956s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 956s] from ../../../../video/video_stream_decoder.cc:14: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [1876/1909] CXX obj/video/video_stream_encoder_impl/overuse_frame_detector.o [ 956s] [1877/1909] STAMP obj/video/video_stream_encoder_impl.stamp [ 956s] [1878/1909] STAMP obj/api/video/video_stream_encoder_create.stamp [ 956s] [1879/1909] CC obj/third_party/usrsctp/usrsctp/sctp_indata.o [ 956s] [1880/1909] CXX obj/video/video/video_send_stream.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../video/video_send_stream_impl.h:30, [ 956s] from ../../../../video/video_send_stream.cc:25: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] [1881/1909] CC obj/third_party/usrsctp/usrsctp/sctp_usrreq.o [ 956s] [1882/1909] CC obj/third_party/usrsctp/usrsctp/sctp_output.o [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c: In function 'send_forward_tsn': [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c:10973:22: warning: converting a packed 'struct sctp_forward_tsn_chunk' pointer (alignment 1) to a 'struct sctp_strseq_mid' pointer (alignment 4) may result in an unaligned pointer value [-Waddress-of-packed-member] [ 956s] 10973 | strseq_m = (struct sctp_strseq_mid *)fwdtsn; [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c:46: [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_header.h:407:8: note: defined here [ 956s] 407 | struct sctp_forward_tsn_chunk { [ 956s] | ^~~~~~~~~~~~~~~~~~~~~~ [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_header.h:418:8: note: defined here [ 956s] 418 | struct sctp_strseq_mid { [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c: In function 'sctp_send_sack': [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c:11367:3: warning: converting a packed 'struct sctp_gap_ack_block' pointer (alignment 1) to a 'uint32_t' {aka 'unsigned int'} pointer (alignment 4) may result in an unaligned pointer value [-Waddress-of-packed-member] [ 956s] 11367 | dup = (uint32_t *) gap_descriptor; [ 956s] | ^~~ [ 956s] In file included from ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c:46: [ 956s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_header.h:265:8: note: defined here [ 956s] 265 | struct sctp_gap_ack_block { [ 956s] | ^~~~~~~~~~~~~~~~~~ [ 956s] [1883/1909] CXX obj/video/video/video_send_stream_impl.o [ 956s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 956s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 956s] from ../../../../video/video_send_stream_impl.h:30, [ 956s] from ../../../../video/video_send_stream_impl.cc:10: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../video/video_send_stream_impl.cc: In function 'webrtc::RtpSenderFrameEncryptionConfig webrtc::internal::{anonymous}::CreateFrameEncryptionConfig(const webrtc::VideoSendStream::Config*)': [ 956s] ../../../../video/video_send_stream_impl.cc:141:52: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 141 | frame_encryption_config.crypto_options = config->crypto_options; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../call/rtp_transport_controller_send_interface.h:23, [ 956s] from ../../../../video/video_send_stream_impl.h:30, [ 956s] from ../../../../video/video_send_stream_impl.cc:10: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] [1884/1909] AR obj/third_party/usrsctp/libusrsctp.a [ 956s] [1885/1909] AR obj/media/librtc_data.a [ 956s] [1886/1909] AR obj/pc/librtc_pc_base.a [ 956s] [1887/1909] CC obj/third_party/libvpx/libvpx/fdct32x32_neon.o [ 956s] [1888/1909] CXX obj/video/video/video_receive_stream.o [ 956s] In file included from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../video/video_receive_stream.h:23, [ 956s] from ../../../../video/video_receive_stream.cc:11: [ 956s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 956s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 108 | _codecSpecificInfo = *codec_specific; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../video/video_receive_stream.h:23, [ 956s] from ../../../../video/video_receive_stream.cc:11: [ 956s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 956s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 956s] | ^~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/transport/network_types.h:16, [ 956s] from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/media_transport_interface.h:20, [ 956s] from ../../../../video/video_receive_stream.h:17, [ 956s] from ../../../../video/video_receive_stream.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::GenericFrameInfo&; T = webrtc::GenericFrameInfo]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::GenericFrameInfo]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::GenericFrameInfo& webrtc::GenericFrameInfo::operator=(const webrtc::GenericFrameInfo&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 956s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 956s] from ../../../../api/video/encoded_frame.h:14, [ 956s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 956s] from ../../../../video/video_receive_stream.h:23, [ 956s] from ../../../../video/video_receive_stream.cc:11: [ 956s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 956s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] [1889/1909] CC obj/third_party/libvpx/libvpx/vp9_mcomp.o [ 956s] [1890/1909] AR obj/third_party/libvpx/libvpx.a [ 956s] [1891/1909] AR obj/modules/video_coding/libwebrtc_vp9.a [ 956s] [1892/1909] AR obj/modules/video_coding/libwebrtc_vp8.a [ 956s] [1893/1909] CXX obj/video/video/receive_statistics_proxy.o [ 956s] [1894/1909] STAMP obj/test/fake_video_codecs.stamp [ 956s] [1895/1909] AR obj/media/librtc_internal_video_codecs.a [ 956s] [1896/1909] AR obj/video/libvideo.a [ 956s] [1897/1909] AR obj/api/video_codecs/libbuiltin_video_encoder_factory.a [ 956s] [1898/1909] AR obj/api/video_codecs/libbuiltin_video_decoder_factory.a [ 956s] [1899/1909] AR obj/call/libcall.a [ 956s] [1900/1909] AR obj/media/librtc_audio_video.a [ 956s] [1901/1909] STAMP obj/pc/rtc_pc.stamp [ 956s] [1902/1909] STAMP obj/media/rtc_media.stamp [ 956s] [1903/1909] STAMP obj/pc/pc.stamp [ 956s] [1904/1909] STAMP obj/media/media.stamp [ 956s] [1905/1909] CXX obj/pc/peerconnection/peer_connection.o [ 956s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 956s] from ../../../../api/peer_connection_interface.h:88, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 956s] 49 | virtual void StopLogging(std::function callback) { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 956s] 63 | void StopLogging() override {} [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 956s] from ../../../../pc/channel_interface.h:20, [ 956s] from ../../../../pc/channel.h:33, [ 956s] from ../../../../pc/jsep_transport_controller.h:30, [ 956s] from ../../../../pc/peer_connection.h:24, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 956s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 956s] 423 | SctpDataContentDescription* as_sctp() override; [ 956s] | ^~~~~~~ [ 956s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 956s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 956s] | ^~~~~~~~~~~ [ 956s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 956s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 956s] | ^~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 956s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 956s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 956s] | ^~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection.cc:23: [ 956s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 956s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 956s] 39 | candidate_ = candidate; [ 956s] | ^~~~~~~~~ [ 956s] In file included from ../../../../p2p/base/port.h:21, [ 956s] from ../../../../p2p/base/port_allocator.h:19, [ 956s] from ../../../../api/peer_connection_interface.h:105, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 956s] 46 | Candidate(const Candidate&); [ 956s] | ^~~~~~~~~ [ 956s] ../../../../pc/peer_connection.cc: In member function 'bool webrtc::PeerConnection::Initialize(const webrtc::PeerConnectionInterface::RTCConfiguration&, webrtc::PeerConnectionDependencies)': [ 956s] ../../../../pc/peer_connection.cc:1018:41: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 1018 | : options.crypto_options; [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/peer_connection_interface.h:80, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../pc/peer_connection.cc:1084:20: warning: implicitly-declared 'webrtc::PeerConnectionInterface::RTCConfiguration& webrtc::PeerConnectionInterface::RTCConfiguration::operator=(const webrtc::PeerConnectionInterface::RTCConfiguration&)' is deprecated [-Wdeprecated-copy] [ 956s] 1084 | configuration_ = configuration; [ 956s] | ^~~~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:300:5: note: because 'webrtc::PeerConnectionInterface::RTCConfiguration' has user-provided 'webrtc::PeerConnectionInterface::RTCConfiguration::RTCConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&)' [ 956s] 300 | RTCConfiguration(const RTCConfiguration&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/peer_connection.cc: In member function 'webrtc::RTCErrorOr > > webrtc::PeerConnection::AssociateTransceiver(cricket::ContentSource, webrtc::SdpType, size_t, const cricket::ContentInfo&, const cricket::ContentInfo*, const cricket::ContentInfo*)': [ 956s] ../../../../pc/peer_connection.cc:3262:25: warning: redundant move in return statement [-Wredundant-move] [ 956s] 3262 | return std::move(error); [ 956s] | ~~~~~~~~~^~~~~~~ [ 956s] ../../../../pc/peer_connection.cc:3262:25: note: remove 'std::move' call [ 956s] ../../../../pc/peer_connection.cc:3283:23: warning: redundant move in return statement [-Wredundant-move] [ 956s] 3283 | return std::move(error); [ 956s] | ~~~~~~~~~^~~~~~~ [ 956s] ../../../../pc/peer_connection.cc:3283:23: note: remove 'std::move' call [ 956s] ../../../../pc/peer_connection.cc:3292:19: warning: redundant move in return statement [-Wredundant-move] [ 956s] 3292 | return std::move(transceiver); [ 956s] | ~~~~~~~~~^~~~~~~~~~~~~ [ 956s] ../../../../pc/peer_connection.cc:3292:19: note: remove 'std::move' call [ 956s] ../../../../pc/peer_connection.cc: In member function 'virtual bool webrtc::PeerConnection::SetConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&, webrtc::RTCError*)': [ 956s] ../../../../pc/peer_connection.cc:3537:20: warning: implicitly-declared 'webrtc::PeerConnectionInterface::RTCConfiguration& webrtc::PeerConnectionInterface::RTCConfiguration::operator=(const webrtc::PeerConnectionInterface::RTCConfiguration&)' is deprecated [-Wdeprecated-copy] [ 956s] 3537 | configuration_ = modified_config; [ 956s] | ^~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/peer_connection_interface.h:300:5: note: because 'webrtc::PeerConnectionInterface::RTCConfiguration' has user-provided 'webrtc::PeerConnectionInterface::RTCConfiguration::RTCConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&)' [ 956s] 300 | RTCConfiguration(const RTCConfiguration&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] ../../../../pc/peer_connection.cc: In member function 'void webrtc::PeerConnection::GetOptionsForOffer(const webrtc::PeerConnectionInterface::RTCOfferAnswerOptions&, cricket::MediaSessionOptions*)': [ 956s] ../../../../pc/peer_connection.cc:4296:54: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 4296 | session_options->crypto_options = GetCryptoOptions(); [ 956s] | ^ [ 956s] In file included from ../../../../api/peer_connection_interface.h:80, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../pc/peer_connection.cc: In member function 'void webrtc::PeerConnection::GetOptionsForAnswer(const webrtc::PeerConnectionInterface::RTCOfferAnswerOptions&, cricket::MediaSessionOptions*)': [ 956s] ../../../../pc/peer_connection.cc:4600:54: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 4600 | session_options->crypto_options = GetCryptoOptions(); [ 956s] | ^ [ 956s] In file included from ../../../../api/peer_connection_interface.h:80, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/transport/network_types.h:16, [ 956s] from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/media_transport_interface.h:20, [ 956s] from ../../../../pc/peer_connection.h:20, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::CryptoOptions&; T = webrtc::CryptoOptions]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::CryptoOptions]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/peer_connection_interface.h:80, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 956s] 23 | CryptoOptions(const CryptoOptions& other); [ 956s] | ^~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/transport/network_types.h:16, [ 956s] from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/media_transport_interface.h:20, [ 956s] from ../../../../pc/peer_connection.h:20, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpFecParameters&; T = webrtc::RtpFecParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpFecParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpFecParameters& webrtc::RtpFecParameters::operator=(const webrtc::RtpFecParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 956s] 342 | RtpFecParameters(const RtpFecParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 956s] from ../../../../api/transport/network_types.h:16, [ 956s] from ../../../../api/transport/network_control.h:16, [ 956s] from ../../../../api/media_transport_interface.h:20, [ 956s] from ../../../../pc/peer_connection.h:20, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h: In instantiation of 'void absl::optional_internal::optional_data_base::assign(U&&) [with U = const webrtc::RtpRtxParameters&; T = webrtc::RtpRtxParameters]': [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:223:7: required from 'absl::optional_internal::optional_data& absl::optional_internal::optional_data::operator=(const absl::optional_internal::optional_data&) [with T = webrtc::RtpRtxParameters]' [ 956s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from 'static _OI std::__copy_move::__copy_m(_II, _II, _OI) [with _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:404:30: required from '_OI std::__copy_move_a(_II, _II, _OI) [with bool _IsMove = false; _II = const webrtc::RtpEncodingParameters*; _OI = webrtc::RtpEncodingParameters*]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:441:30: required from '_OI std::__copy_move_a2(_II, _II, _OI) [with bool _IsMove = false; _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algobase.h:474:7: required from '_OI std::copy(_II, _II, _OI) [with _II = __gnu_cxx::__normal_iterator >; _OI = __gnu_cxx::__normal_iterator >]' [ 956s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:238:31: required from 'std::vector<_Tp, _Alloc>& std::vector<_Tp, _Alloc>::operator=(const std::vector<_Tp, _Alloc>&) [with _Tp = webrtc::RtpEncodingParameters; _Alloc = std::allocator]' [ 956s] ../../../../pc/rtp_sender.h:119:34: required from here [ 956s] ../../../../third_party/abseil-cpp/absl/types/internal/optional.h:159:19: warning: implicitly-declared 'webrtc::RtpRtxParameters& webrtc::RtpRtxParameters::operator=(const webrtc::RtpRtxParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 159 | this->data_ = std::forward(u); [ 956s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 956s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 956s] | ^~~~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/proxy.h: In instantiation of 'void webrtc::ReturnType::Invoke(C*, M) [with C = webrtc::RtpSenderInterface; M = webrtc::RtpParameters (webrtc::RtpSenderInterface::*)() const; R = webrtc::RtpParameters]': [ 956s] ../../../../api/proxy.h:191:35: required from 'void webrtc::ConstMethodCall0::OnMessage(rtc::Message*) [with C = webrtc::RtpSenderInterface; R = webrtc::RtpParameters]' [ 956s] ../../../../api/proxy.h:191:8: required from here [ 956s] ../../../../api/proxy.h:77:8: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 77 | r_ = (c->*m)(); [ 956s] | ~~~^~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] 622 | struct RTC_EXPORT RtpParameters { [ 956s] | ^~~~~~~~~~~~~ [ 956s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 956s] 589 | RtcpParameters(const RtcpParameters&); [ 956s] | ^~~~~~~~~~~~~~ [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/proxy.h:77:8: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 956s] 77 | r_ = (c->*m)(); [ 956s] | ~~~^~~~~~~~~~~ [ 956s] ../../../../api/proxy.h: In instantiation of 'void webrtc::ReturnType::Invoke(C*, M) [with C = webrtc::RtpReceiverInterface; M = webrtc::RtpParameters (webrtc::RtpReceiverInterface::*)() const; R = webrtc::RtpParameters]': [ 956s] ../../../../api/proxy.h:191:35: required from 'void webrtc::ConstMethodCall0::OnMessage(rtc::Message*) [with C = webrtc::RtpReceiverInterface; R = webrtc::RtpParameters]' [ 956s] ../../../../api/proxy.h:191:8: required from here [ 956s] ../../../../api/proxy.h:77:8: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 956s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 956s] from ../../../../api/peer_connection_interface.h:90, [ 956s] from ../../../../pc/peer_connection.h:21, [ 956s] from ../../../../pc/peer_connection.cc:11: [ 956s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 956s] 624 | RtpParameters(const RtpParameters&); [ 956s] | ^~~~~~~~~~~~~ [ 956s] [1906/1909] AR obj/pc/libpeerconnection.a [ 956s] [1907/1909] AR obj/api/libcreate_peerconnection_factory.a [ 956s] [1908/1909] STAMP obj/pc/libjingle_peerconnection.stamp [ 956s] [1909/1909] AR obj/libwebrtc.a [ 956s] [738/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/WebRtcManager.cpp.o [ 956s] [739/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/page/NavigatorMixin.cpp.o [ 956s] [740/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/page/WindowOrWorkerGlobalScope.cpp.o [ 956s] [741/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCRtpSender.cpp.o [ 957s] [742/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/AudioBufferSourceNode.cpp.o [ 957s] [743/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/page/WebBase.cpp.o [ 957s] [744/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSAngle.cpp.o [ 957s] [745/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/page/Serializer.cpp.o [ 957s] [746/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/storage/Storage.cpp.o [ 957s] [747/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSLength.cpp.o [ 957s] [748/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/AudioDestinationNode.cpp.o [ 957s] [749/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/BorderImage.cpp.o [ 957s] [750/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/AudioContext.cpp.o [ 957s] [751/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCRtpReceiver.cpp.o [ 957s] [752/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSFilterFunction.cpp.o [ 958s] [753/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSProperty.cpp.o [ 958s] [754/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleLookupTrie.cpp.o [ 958s] [755/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSGradientValue.cpp.o [ 958s] [756/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/AncestorSelectorFilter.cpp.o [ 958s] [757/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/page/Screen.cpp.o [ 959s] [758/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/webaudio/BaseAudioContext.cpp.o [ 959s] [759/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSTime.cpp.o [ 959s] [760/918] Building CXX object 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CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 974s] [913/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 974s] [914/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtc.cpp.o [ 975s] [915/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 976s] [916/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcTizen.cpp.o [ 977s] [917/918] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 1590s] [918/918] Linking CXX shared library out_tizen/unified_tv/release/lib/liblightweight-web-engine.tv.so [ 1590s] + ninja starfish.executable [ 1590s] [1/4] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo LIBWEBSOCKETS\ TARGET [ 1590s] LIBWEBSOCKETS TARGET [ 1592s] [2/4] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/testRunner.cpp.o [ 1593s] [3/4] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/shell.cpp.o [ 2189s] [4/4] Linking CXX executable out_tizen/unified_tv/release/lightweight-web-engine.tv [ 2189s] + rm -f CMakeCache.txt [ 2189s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=arm -DCUSTOM=unified_mobile -DBACKEND=dali -DLTO=1 -DTARGETNAME=lightweight-web-engine-dali-plugin.mobile -G Ninja [ 2189s] -- The C compiler identification is GNU 9.2.0 [ 2189s] -- The CXX compiler identification is GNU 9.2.0 [ 2189s] -- Check for working C compiler: /bin/cc [ 2189s] -- Check for working C compiler: /bin/cc -- works [ 2189s] -- Detecting C compiler ABI info [ 2189s] -- Detecting C compiler ABI info - done [ 2189s] -- Detecting C compile features [ 2189s] -- Detecting C compile features - done [ 2189s] -- Check for working CXX compiler: /bin/c++ [ 2189s] -- Check for working CXX compiler: /bin/c++ -- works [ 2189s] -- Detecting CXX compiler ABI info [ 2189s] -- Detecting CXX compiler ABI info - done [ 2189s] -- Detecting CXX compile features [ 2189s] -- Detecting CXX compile features - done [ 2190s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 2190s] -- Checking for modules 'dlog;libpng;freetype2;fontconfig;harfbuzz;elementary;ecore' [ 2190s] -- Found dlog, version 1.0 [ 2190s] -- Found libpng, version 1.6.37 [ 2190s] -- Found freetype2, version 23.4.17 [ 2190s] -- Found fontconfig, version 2.13.1 [ 2190s] -- Found harfbuzz, version 2.6.7 [ 2191s] -- Found elementary, version 1.25.1 [ 2191s] -- Found ecore, version 1.25.1 [ 2193s] -- Checking for module 'cairo' [ 2193s] -- Found cairo, version 1.14.2 [ 2194s] -- Checking for modules 'capi-media-player;capi-network-connection' [ 2194s] -- Found capi-media-player, version [ 2194s] -- Found capi-network-connection, version [ 2194s] -- Looking for cap_set_flag in cap [ 2195s] -- Looking for cap_set_flag in cap - not found [ 2195s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 2195s] -- Escargot Build Version: v3.0.0 [ 2195s] -- Checking for module 'dlog' [ 2195s] -- Found dlog, version 1.0 [ 2195s] -- Starfish [ 2195s] -- FLAGS: -std=c++11-g3-Wall-Wextra-Werror-Wno-unused-parameter-Wno-unused-result-Wno-unused-variable-Wno-unused-function-Wno-maybe-uninitialized-Wno-deprecated-declarations-Wno-type-limits-fno-math-errno-fdata-sections-ffunction-sections-Wno-invalid-offsetof-fvisibility=hidden-fno-omit-frame-pointer-fstack-protector-fPIC-frounding-math-fsignaling-nans-Wno-unused-but-set-variable-Wno-unused-but-set-parameter-Wno-attributes-Wno-class-memaccess-Wno-deprecated-copy-Wno-cast-function-type-Wno-stringop-truncation-Wno-pessimizing-move-Wno-format-nonliteral-O2-flto-O2-g2-pipe-Wall-Wp,-D_FORTIFY_SOURCE=2-fexceptions-fstack-protector-strong-Wformat-security-fmessage-length=0-frecord-gcc-switches-Wl,-z,relro,--as-needed--param=ssp-buffer-size=4-march=armv7-a-mtune=cortex-a8-mlittle-endian-mfpu=neon-mfloat-abi=softfp-mthumb-Wp,-D__SOFTFP__-Wl,-O1-Wl,--hash-style=gnu-Wa,-mimplicit-it=thumb-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_5 [ 2195s] -- LIBRARIES: clipperescargotmp4parsewebmskia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/out_tizen/unified_mobile/release/lib/libtuv.sopthreadcurlsslcryptojpeggifrtdlcapi-location-manager-Wl,-soname,liblightweight-web-engine-dali-plugin.so.1dlogpng16zfontconfigfreetypeharfbuzzelementaryecore_evasecore_fileecore_imfecore_inputecore_conedjeevasectorluameldbusethumb_clientethumbemotionefreeteioeetemileecoreefleoeinapthreadmrtdlcairocapi-media-playercapi-media-tooltbmcapi-media-sound-managercapi-network-connectioncapi-base-common [ 2195s] -- DEFINITIONS: -DSTARFISH_TIZEN-DSTARFISH_TIZEN_OBS-DTIZEN_DEVICE_API-DSIZE_MAX=0xffffffff-DSTARFISH_ENABLE_ANIMATION-DSTARFISH_ENABLE_RUNTIME_ICU_BINDER-DSTARFISH_ENABLE_MULTIMEDIA-DSTARFISH_ENABLE_MULTI_THREAD_IMAGE_DECODING-DNDEBUG-DSTARFISH_DALI [ 2195s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 2195s] -- INCLUDE_DIRS: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/inc/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/rapidjson/include/usr/include/elementary-1/usr/include/ecore-wl2-1/usr/include/wayland-extension/usr/include/ethumb-client-1/usr/include/ethumb-1/usr/include/edje-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-imf-evas-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/embryo-1/usr/include/ecore-audio-1/usr/include/emotion-1/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/efreet-1/usr/include/eio-1/usr/include/efreet-1/usr/include/ecore-file-1/usr/include/ecore-ipc-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/cairo/usr/include/pixman-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/libpng16/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/MP4Parse/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webm/usr/include/dali/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libtuv/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libtuv/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/bdwgc/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/src/api/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/runtime_icu_binder/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsg/dist/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsgcpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/clipper/cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/earcut.hpp/include/mapbox/usr/include/media/usr/include/network/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/deviceapi/src//usr/include/dlog/usr/include/location/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/include/core/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/include [ 2195s] -- Configuring done [ 2196s] -- Generating done [ 2196s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 2196s] + ninja starfish.shared_library [ 2196s] [1/925] Linking CXX static library out_tizen/unified_mobile/release/lib/libruntime-icu-binder-static.a [ 2196s] [2/925] Linking C static library out_tizen/unified_mobile/release/lib/liblibbf.a [ 2196s] [3/925] COPY TUV [ 2196s] [4/925] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo TUV\ TARGET [ 2196s] TUV TARGET [ 2196s] [5/925] Linking CXX static library out_tizen/unified_mobile/release/lib/libgc-lib.a [ 2196s] [6/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferBinding.cpp.o [ 2196s] [7/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 2196s] [8/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 2196s] 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CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 2196s] [18/925] Linking CXX shared library out_tizen/unified_mobile/release/lib/libwebm.so [ 2196s] [19/925] Linking CXX shared library out_tizen/unified_mobile/release/lib/libclipper.so [ 2196s] [20/925] Linking CXX shared library out_tizen/unified_mobile/release/lib/libskia_matrix.so [ 2197s] [21/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasImageSourceOrBlobOrImageDataBinding.cpp.o [ 2197s] [22/925] Linking CXX shared library out_tizen/unified_mobile/release/lib/libmp4parse.so [ 2199s] [23/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ArrayBufferViewOrArrayBufferBinding.cpp.o [ 2199s] [24/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DOrWebGLRenderingContextOrImageBitmapRenderingContextBinding.cpp.o [ 2199s] [25/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrBlobOrDOMStringBinding.cpp.o [ 2199s] [26/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobOrBufferSourceOrUSVStringOrReadableStreamBinding.cpp.o [ 2199s] [27/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DBinding.cpp.o [ 2199s] [28/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobCustomBinding.cpp.o [ 2199s] [29/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 2199s] [30/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationBinding.cpp.o [ 2199s] [31/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericTypeBinding.cpp.o [ 2199s] [32/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeywordValueBinding.cpp.o [ 2199s] [33/925] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/NativeImageDataImpl.cpp.o [ 2274s] [866/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/process/base/Process.cpp.o [ 2274s] [867/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSTV.cpp.o [ 2274s] [868/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSBase.cpp.o [ 2274s] [869/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/webrtc/VideoCapturer.cpp.o [ 2274s] [870/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/CompressedNativeImageDataImpl.cpp.o [ 2274s] [871/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerEFL.cpp.o [ 2274s] [872/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/util/URL.cpp.o [ 2274s] [873/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/Demuxer.cpp.o [ 2274s] [874/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerWindows.cpp.o [ 2274s] [875/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinEFL.cpp.o [ 2274s] [876/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceURL.cpp.o [ 2275s] [877/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/xml/XMLHttpRequest.cpp.o [ 2275s] [878/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinWindows.cpp.o [ 2275s] [879/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MP4PacketGenerator.cpp.o [ 2275s] [880/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/DemuxerWebM.cpp.o [ 2275s] [881/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/MessageLoopLibUV.cpp.o [ 2275s] [882/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 2275s] [883/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerLibUV.cpp.o [ 2275s] [884/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/DemuxerMP4.cpp.o [ 2275s] [885/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/StreamInfo.cpp.o [ 2275s] [886/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebView.cpp.o [ 2275s] [887/925] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 2275s] [888/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/CanvasCairo.cpp.o [ 2276s] [889/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPRequest.cpp.o [ 2276s] [890/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPResponse.cpp.o [ 2276s] [891/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/FontResource.cpp.o [ 2276s] [892/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/public/DeviceInfo.cpp.o [ 2276s] [893/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinLibUV.cpp.o [ 2276s] [894/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplCairo.cpp.o [ 2276s] [895/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 2276s] [896/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ElementResourceClient.cpp.o [ 2276s] [897/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPTransaction.cpp.o [ 2276s] [898/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPHeaderMap.cpp.o [ 2276s] [899/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPUtil.cpp.o [ 2276s] [900/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 2276s] [901/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 2276s] [902/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 2276s] [903/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 2276s] [904/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 2277s] [905/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 2277s] [906/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/Resource.cpp.o [ 2277s] [907/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 2277s] [908/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/flutter/LWEWebViewFlutter.cpp.o [ 2277s] [909/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 2277s] [910/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 2277s] [911/925] Linking CXX static library out_tizen/unified_mobile/release/lib/libescargot.a [ 2277s] [912/925] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 2277s] [913/925] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 2277s] [914/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 2277s] [915/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayer.cpp.o [ 2277s] [916/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 2278s] [917/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleDeclaration.cpp.o [ 2278s] [918/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 2278s] [919/925] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 2278s] [920/925] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 2278s] [921/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 2279s] [922/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 2280s] [923/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 2281s] [924/925] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 2807s] [925/925] Linking CXX shared library out_tizen/unified_mobile/release/lib/liblightweight-web-engine-dali-plugin.mobile.so [ 2807s] + rm -f CMakeCache.txt [ 2807s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=arm -DCUSTOM=unified_mobile -DBACKEND=efl_cairo_gl -DLTO=1 -DTARGETNAME=lightweight-web-engine.mobile -G Ninja [ 2807s] -- The C compiler identification is GNU 9.2.0 [ 2807s] -- The CXX compiler identification is GNU 9.2.0 [ 2807s] -- Check for working C compiler: /bin/cc [ 2807s] -- Check for working C compiler: /bin/cc -- works [ 2807s] -- Detecting C compiler ABI info [ 2807s] -- Detecting C compiler ABI info - done [ 2807s] -- Detecting C compile features [ 2807s] -- Detecting C compile features - done [ 2807s] -- Check for working CXX compiler: /bin/c++ [ 2808s] -- Check for working CXX compiler: /bin/c++ -- works [ 2808s] -- Detecting CXX compiler ABI info [ 2808s] -- Detecting CXX compiler ABI info - done [ 2808s] -- Detecting CXX compile features [ 2808s] -- Detecting CXX compile features - done [ 2808s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 2808s] -- Checking for modules 'libpng;freetype2;fontconfig;harfbuzz;elementary;ecore;ecore-imf' [ 2809s] -- Found libpng, version 1.6.37 [ 2809s] -- Found freetype2, version 23.4.17 [ 2809s] -- Found fontconfig, version 2.13.1 [ 2810s] -- Found harfbuzz, version 2.6.7 [ 2810s] -- Found elementary, version 1.25.1 [ 2810s] -- Found ecore, version 1.25.1 [ 2810s] -- Found ecore-imf, version 1.25.1 [ 2813s] -- Checking for module 'ecore-imf-evas' [ 2813s] -- Found ecore-imf-evas, version 1.25.1 [ 2815s] -- Checking for module 'libtbm' [ 2815s] -- Found libtbm, version 3.0.0 [ 2816s] -- Checking for module 'cairo' [ 2816s] -- Found cairo, version 1.14.2 [ 2817s] -- Checking for modules 'capi-media-player;capi-network-connection' [ 2818s] -- Found capi-media-player, version [ 2818s] -- Found capi-network-connection, version [ 2819s] -- Looking for cap_set_flag in cap [ 2819s] -- Looking for cap_set_flag in cap - not found [ 2819s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 2819s] -- Escargot Build Version: v3.0.0 [ 2819s] -- Checking for module 'dlog' [ 2820s] -- Found dlog, version 1.0 [ 2821s] -- Starfish [ 2821s] -- FLAGS: -std=c++11-g3-Wall-Wextra-Werror-Wno-unused-parameter-Wno-unused-result-Wno-unused-variable-Wno-unused-function-Wno-maybe-uninitialized-Wno-deprecated-declarations-Wno-type-limits-fno-math-errno-fdata-sections-ffunction-sections-Wno-invalid-offsetof-fvisibility=hidden-fno-omit-frame-pointer-fstack-protector-fPIC-frounding-math-fsignaling-nans-Wno-unused-but-set-variable-Wno-unused-but-set-parameter-Wno-attributes-Wno-class-memaccess-Wno-deprecated-copy-Wno-cast-function-type-Wno-stringop-truncation-Wno-pessimizing-move-Wno-format-nonliteral-fno-rtti-O2-flto-O2-g2-pipe-Wall-Wp,-D_FORTIFY_SOURCE=2-fexceptions-fstack-protector-strong-Wformat-security-fmessage-length=0-frecord-gcc-switches-Wl,-z,relro,--as-needed--param=ssp-buffer-size=4-march=armv7-a-mtune=cortex-a8-mlittle-endian-mfpu=neon-mfloat-abi=softfp-mthumb-Wp,-D__SOFTFP__-Wl,-O1-Wl,--hash-style=gnu-Wa,-mimplicit-it=thumb-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_5 [ 2821s] -- LIBRARIES: clipperescargotmp4parsewebmskia_matrixpthreadcurlsslcryptojpeggifturbojpegrtdlcapi-location-manager-Wl,-soname,liblightweight-web-engine.so.1png16zfontconfigfreetypeharfbuzzelementaryecore_evasecore_fileecore_conedjeevasectorluameldbusethumb_clientethumbemotionefreeteioeetemileecoreeflecore_imfecore_inputeoeinapthreadmrtdlcairoecore_imf_evasefleoeinapthreadmrtdltbmcapi-base-commoncapi-media-playercapi-media-tooltbmcapi-media-sound-managercapi-network-connectioncapi-base-common [ 2821s] -- DEFINITIONS: -DSTARFISH_TIZEN-DSTARFISH_TIZEN_OBS-DTIZEN_DEVICE_API-DSIZE_MAX=0xffffffff-DSTARFISH_ENABLE_ANIMATION-DSTARFISH_ENABLE_RUNTIME_ICU_BINDER-DSTARFISH_ENABLE_MULTIMEDIA-DSTARFISH_ENABLE_MULTI_THREAD_IMAGE_DECODING-DNDEBUG-DSTARFISH_EFL_CAIRO_GL [ 2821s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 2821s] -- INCLUDE_DIRS: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/inc/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/rapidjson/include/usr/include/elementary-1/usr/include/ecore-wl2-1/usr/include/wayland-extension/usr/include/ethumb-client-1/usr/include/ethumb-1/usr/include/edje-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-imf-evas-1/usr/include/embryo-1/usr/include/ecore-audio-1/usr/include/emotion-1/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/efreet-1/usr/include/eio-1/usr/include/efreet-1/usr/include/ecore-ipc-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/cairo/usr/include/pixman-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/libpng16/usr/include/ecore-imf-evas-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/MP4Parse/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webm/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/bdwgc/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/src/api/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/runtime_icu_binder/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsg/dist/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsgcpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/clipper/cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/earcut.hpp/include/mapbox/usr/include/media/usr/include/network/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/deviceapi/src//usr/include/dlog/usr/include/location/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/include/core/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/include [ 2821s] -- Configuring done [ 2821s] -- Generating done [ 2821s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 2821s] + ninja starfish.shared_library [ 2822s] [1/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 2822s] [2/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 2822s] [3/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioDestinationNodeBinding.cpp.o [ 2822s] [4/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceOptionsBinding.cpp.o [ 2822s] [5/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextBinding.cpp.o [ 2822s] [6/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasImageSourceOrBlobOrImageDataBinding.cpp.o [ 2822s] [7/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferBinding.cpp.o [ 2822s] [8/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 2822s] [9/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 2822s] [10/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 2822s] [11/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BaseAudioContextBinding.cpp.o [ 2822s] [12/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioNodeBinding.cpp.o [ 2822s] [13/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 2822s] [14/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DBinding.cpp.o [ 2824s] [15/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ArrayBufferViewOrArrayBufferBinding.cpp.o [ 2824s] [16/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 2824s] [17/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericTypeBinding.cpp.o [ 2824s] [18/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DOrWebGLRenderingContextOrImageBitmapRenderingContextBinding.cpp.o [ 2824s] [19/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrBlobOrDOMStringBinding.cpp.o [ 2824s] [20/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobOrBufferSourceOrUSVStringOrReadableStreamBinding.cpp.o [ 2825s] [21/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobCustomBinding.cpp.o [ 2825s] [22/915] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 2903s] [914/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 3443s] [915/915] Linking CXX shared library out_tizen/unified_mobile/release/lib/liblightweight-web-engine.mobile.so [ 3443s] + ninja starfish.executable [ 3446s] [1/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/testRunner.cpp.o [ 3447s] [2/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/shell.cpp.o [ 3999s] [3/3] Linking CXX executable out_tizen/unified_mobile/release/lightweight-web-engine.mobile [ 3999s] + CFLAGS+=' -Os ' [ 3999s] + CXXFLAGS+=' -Os ' [ 3999s] + rm -f CMakeCache.txt [ 3999s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=arm -DCUSTOM=unified_wearable -DBACKEND=dali -DLTO=1 -DTARGETNAME=lightweight-web-engine-dali-plugin.wearable -G Ninja [ 3999s] -- The C compiler identification is GNU 9.2.0 [ 3999s] -- The CXX compiler identification is GNU 9.2.0 [ 4000s] -- Check for working C compiler: /bin/cc [ 4000s] -- Check for working C compiler: /bin/cc -- works [ 4000s] -- Detecting C compiler ABI info [ 4000s] -- Detecting C compiler ABI info - done [ 4000s] -- Detecting C compile features [ 4000s] -- Detecting C compile features - done [ 4000s] -- Check for working CXX compiler: /bin/c++ [ 4000s] -- Check for working CXX compiler: /bin/c++ -- works [ 4000s] -- Detecting CXX compiler ABI info [ 4000s] -- Detecting CXX compiler ABI info - done [ 4000s] -- Detecting CXX compile features [ 4000s] -- Detecting CXX compile features - done [ 4001s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 4001s] -- Checking for modules 'dlog;libpng;freetype2;fontconfig;harfbuzz;elementary;ecore' [ 4001s] -- Found dlog, version 1.0 [ 4002s] -- Found libpng, version 1.6.37 [ 4002s] -- Found freetype2, version 23.4.17 [ 4002s] -- Found fontconfig, version 2.13.1 [ 4002s] -- Found harfbuzz, version 2.6.7 [ 4003s] -- Found elementary, version 1.25.1 [ 4003s] -- Found ecore, version 1.25.1 [ 4006s] -- Checking for module 'cairo' [ 4006s] -- Found cairo, version 1.14.2 [ 4007s] -- Checking for modules 'dlog;capi-media-player;capi-media-sound-manager;capi-system-info;capi-system-device' [ 4008s] -- Found dlog, version 1.0 [ 4008s] -- Found capi-media-player, version [ 4008s] -- Found capi-media-sound-manager, version 0.0.1 [ 4009s] -- Found capi-system-info, version 0.2.0 [ 4009s] -- Found capi-system-device, version [ 4010s] -- Checking for module 'bundle' [ 4010s] -- Found bundle, version 0.9.2 [ 4011s] -- Looking for cap_set_flag in cap [ 4011s] -- Looking for cap_set_flag in cap - not found [ 4011s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 4011s] -- Escargot Build Version: v3.0.0 [ 4011s] -- Checking for module 'dlog' [ 4012s] -- Found dlog, version 1.0 [ 4013s] -- Starfish [ 4013s] -- FLAGS: 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clipperescargotmp4parsewebmskia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/out_tizen/unified_wearable/release/lib/libtuv.sopthreadcurlsslcryptojpeggifrtdlcapi-location-manager-Wl,-soname,liblightweight-web-engine-dali-plugin.so.1dlogpng16zfontconfigfreetypeharfbuzzelementaryecore_evasecore_fileecore_imfecore_inputecore_conedjeevasectorluameldbusethumb_clientethumbemotionefreeteioeetemileecoreefleoeinapthreadmrtdlcairodlogcapi-media-playercapi-media-tooltbmcapi-media-sound-managercapi-system-infocapi-system-devicecapi-base-commonbundlecapi-base-common [ 4013s] -- DEFINITIONS: -DSTARFISH_TIZEN-DSTARFISH_TIZEN_OBS-DTIZEN_DEVICE_API-DSIZE_MAX=0xffffffff-DSTARFISH_ENABLE_ANIMATION-DSTARFISH_ENABLE_RUNTIME_ICU_BINDER-DSTARFISH_TIZEN_WEARABLE_WIDGET-DSTARFISH_TIZEN_CAPI_LOCATION_MANAGER_ENABLED-DSTARFISH_DISABLE_OVERFLOW_SCROLL-DSTARFISH_ENABLE_OBSOLETE_SPEC-DSTARFISH_ENABLE_BATTERY_STATUS-DNDEBUG-DSTARFISH_DALI [ 4013s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 4013s] -- INCLUDE_DIRS: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/inc/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/rapidjson/include/usr/include/elementary-1/usr/include/ecore-wl2-1/usr/include/wayland-extension/usr/include/ethumb-client-1/usr/include/ethumb-1/usr/include/edje-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-imf-evas-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/embryo-1/usr/include/ecore-audio-1/usr/include/emotion-1/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/efreet-1/usr/include/eio-1/usr/include/efreet-1/usr/include/ecore-file-1/usr/include/ecore-ipc-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/cairo/usr/include/pixman-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/libpng16/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/MP4Parse/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webm/usr/include/dali/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libtuv/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libtuv/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/bdwgc/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/src/api/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/runtime_icu_binder/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsg/dist/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsgcpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/clipper/cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/earcut.hpp/include/mapbox/usr/include/dlog/usr/include/media/usr/include/system/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/deviceapi/src//usr/include/dlog/usr/include/location/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/include/core/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/include [ 4013s] -- Configuring done [ 4013s] -- Generating done [ 4013s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4013s] + ninja starfish.shared_library [ 4015s] [1/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IPMC.cpp.o [ 4015s] [2/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IMIF.cpp.o [ 4015s] [3/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FullBox.cpp.o [ 4015s] [4/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SBGP.cpp.o [ 4015s] [5/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MFHD.cpp.o [ 4015s] [6/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSC.cpp.o [ 4015s] [7/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.PDIN.cpp.o [ 4015s] [8/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ILOC.cpp.o [ 4015s] [9/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.BXML.cpp.o [ 4015s] [10/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MFRO.cpp.o [ 4015s] [11/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.Atom.cpp.o [ 4015s] [12/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STDP.cpp.o [ 4015s] [13/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.PADB.cpp.o [ 4015s] [14/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FREE.cpp.o [ 4015s] [15/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STCO.cpp.o [ 4015s] [16/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SCHI.cpp.o [ 4015s] [17/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MEHD.cpp.o [ 4015s] [18/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.PITM.cpp.o [ 4015s] [19/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SCHM.cpp.o [ 4015s] [20/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SDTP.cpp.o [ 4015s] [21/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IINF.cpp.o [ 4015s] [22/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MDHD.cpp.o [ 4015s] [23/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSZ.cpp.o [ 4015s] [24/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.CTTS.cpp.o [ 4015s] [25/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ContainerAtom.cpp.o [ 4015s] [26/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ELST.cpp.o [ 4015s] [27/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.CO64.cpp.o [ 4015s] [28/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SMHD.cpp.o [ 4015s] [29/1197] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMallocPixelRef.cpp.o [ 4015s] [30/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MDAT.cpp.o [ 4015s] [31/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.CPRT.cpp.o [ 4015s] [32/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FRMA.cpp.o [ 4015s] [33/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FTYP.cpp.o [ 4015s] [34/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MP4A.cpp.o [ 4015s] [35/1197] Building CXX object 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CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkPoint.cpp.o [ 4016s] [45/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MVHD.cpp.o [ 4016s] [46/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.HDLR.cpp.o [ 4016s] [47/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSH.cpp.o [ 4016s] [48/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.DREF.cpp.o [ 4016s] [49/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.HMHD.cpp.o [ 4016s] [50/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSD.cpp.o [ 4016s] [51/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.TREX.cpp.o [ 4016s] [52/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.File.cpp.o [ 4016s] [53/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STZ2.cpp.o [ 4016s] [54/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.TFHD.cpp.o [ 4016s] [55/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SGPD.cpp.o [ 4016s] [56/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STSS.cpp.o [ 4016s] [57/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.TFDT.cpp.o [ 4016s] [58/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.STTS.cpp.o [ 4016s] [59/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.TREF.cpp.o [ 4016s] [60/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.TFRA.cpp.o [ 4016s] [61/1197] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.SUBS.cpp.o [ 4016s] [62/1197] COPY TUV [ 4016s] [63/1197] Building CXX object 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out_tizen/unified_wearable/release/lib/libmp4parse.so [ 4016s] [73/1197] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMatrix44.cpp.o [ 4016s] [74/1197] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkRect.cpp.o [ 4016s] [75/1197] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo TUV\ TARGET [ 4016s] TUV TARGET [ 4016s] [76/1197] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkString.cpp.o [ 4017s] [77/1197] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMatrix.cpp.o [ 4018s] [78/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinSharedArrayBuffer.cpp.o [ 4018s] [79/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinAsyncFunction.cpp.o [ 4018s] [80/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinWeakRef.cpp.o [ 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shared library out_tizen/unified_wearable/release/lib/libskia_matrix.so [ 4018s] [90/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 4018s] [91/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 4018s] [92/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinBigInt.cpp.o [ 4018s] [93/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinSymbol.cpp.o [ 4018s] [94/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinSet.cpp.o [ 4018s] [95/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceOptionsBinding.cpp.o [ 4018s] [96/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextBinding.cpp.o [ 4018s] [97/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 4018s] [98/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioDestinationNodeBinding.cpp.o [ 4018s] [99/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 4018s] [100/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioNodeBinding.cpp.o [ 4019s] [101/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BaseAudioContextBinding.cpp.o [ 4019s] [102/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinAsyncFromSyncIterator.cpp.o [ 4019s] [103/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 4019s] [104/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinWeakMap.cpp.o [ 4019s] [105/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinMath.cpp.o [ 4019s] [106/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinMap.cpp.o [ 4019s] [107/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinGeneratorFunction.cpp.o [ 4019s] [108/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinNumber.cpp.o [ 4019s] [109/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinPromise.cpp.o [ 4019s] [110/1197] Building C object third_party/escargot/CMakeFiles/libbf.dir/third_party/libbf/libbf.c.o [ 4019s] [111/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinFunction.cpp.o [ 4019s] [112/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinError.cpp.o [ 4019s] [113/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinDataView.cpp.o [ 4019s] [114/1197] Building CXX object CMakeFiles/webm.dir/third_party/webm/mkvparser/mkvparser.cc.o [ 4019s] [115/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/canvas/image/ImageDecoder.cpp.o [ 4020s] [116/1197] Linking CXX shared library out_tizen/unified_wearable/release/lib/libwebm.so [ 4020s] [117/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinObject.cpp.o [ 4020s] [118/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/canvas/image/BufferedNativeImageData.cpp.o [ 4020s] [119/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinRegExp.cpp.o [ 4020s] [120/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinIntl.cpp.o [ 4020s] [121/1197] Building CXX object CMakeFiles/clipper.dir/third_party/clipper/cpp/clipper.cpp.o [ 4020s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 4020s] from third_party/clipper/cpp/clipper.hpp:52, [ 4020s] from third_party/clipper/cpp/clipper.cpp:41: [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const long long int&}; _Tp = long long int; _Alloc = std::allocator]': [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector >::iterator' {aka '__gnu_cxx::__normal_iterator > >'} changed in GCC 7.1 [ 4020s] 426 | vector<_Tp, _Alloc>:: [ 4020s] | ^~~~~~~~~~~~~~~~~~~ [ 4020s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/queue:62, [ 4020s] from third_party/clipper/cpp/clipper.hpp:59, [ 4020s] from third_party/clipper/cpp/clipper.cpp:41: [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h: In function 'void std::__push_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare&) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator > >; _Distance = int; _Tp = long long int; _Compare = __gnu_cxx::__ops::_Iter_comp_val >]': [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h:128:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator > >' changed in GCC 7.1 [ 4020s] 128 | __push_heap(_RandomAccessIterator __first, [ 4020s] | ^~~~~~~~~~~ [ 4020s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 4020s] from third_party/clipper/cpp/clipper.hpp:52, [ 4020s] from third_party/clipper/cpp/clipper.cpp:41: [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In member function 'void ClipperLib::Clipper::InsertScanbeam(ClipperLib::cInt)': [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator > >' changed in GCC 7.1 [ 4020s] 1195 | _M_realloc_insert(end(), __x); [ 4020s] | ^~~~~~~~~~~~~~~~~ [ 4020s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 4020s] from third_party/clipper/cpp/clipper.hpp:52, [ 4020s] from third_party/clipper/cpp/clipper.cpp:41: [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {ClipperLib::DoublePoint}; _Tp = ClipperLib::DoublePoint; _Alloc = std::allocator]': [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 4020s] 426 | vector<_Tp, _Alloc>:: [ 4020s] | ^~~~~~~~~~~~~~~~~~~ [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::emplace_back(_Args&& ...) [with _Args = {ClipperLib::DoublePoint}; _Tp = ClipperLib::DoublePoint; _Alloc = std::allocator]': [ 4020s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:121:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4020s] 121 | _M_realloc_insert(end(), std::forward<_Args>(__args)...); [ 4020s] | ^~~~~~~~~~~~~~~~~ [ 4020s] [122/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinDate.cpp.o [ 4020s] [123/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinArray.cpp.o [ 4021s] [124/1197] Linking CXX shared library out_tizen/unified_wearable/release/lib/libclipper.so [ 4021s] [125/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 4021s] [126/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/StaticStrings.cpp.o [ 4021s] [127/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ArrayBufferViewOrArrayBufferBinding.cpp.o [ 4021s] [128/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSMediaRuleBinding.cpp.o [ 4021s] [129/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasImageSourceOrBlobOrImageDataBinding.cpp.o [ 4021s] [130/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinJSON.cpp.o [ 4021s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 4021s] from third_party/escargot/src/Escargot.h:223, [ 4021s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In static member function 'static bool Escargot::builtinJSONStringify(Escargot::ExecutionState&, Escargot::Value, size_t, Escargot::Value*, Escargot::Optional)::::_FUN(Escargot::ExecutionState&, Escargot::Object*, const Escargot::ObjectPropertyName&, const Escargot::ObjectStructurePropertyDescriptor&, void*)': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1195 | _M_realloc_insert(end(), __x); [ 4021s] | ^~~~~~~~~~~~~~~~~ [ 4021s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 4021s] from third_party/escargot/src/Escargot.h:202, [ 4021s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'Escargot::Value Escargot::builtinJSONStringify(Escargot::ExecutionState&, Escargot::Value, size_t, Escargot::Value*, Escargot::Optional)': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1967:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1967 | std::__introsort_loop(__first, __last, [ 4021s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 4021s] 1968 | std::__lg(__last - __first) * 2, [ 4021s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4021s] 1969 | __comp); [ 4021s] | ~~~~~~~ [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1884:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1884 | std::__insertion_sort(__first, __first + int(_S_threshold), __comp); [ 4021s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1889:23: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1889 | std::__insertion_sort(__first, __last, __comp); [ 4021s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ [ 4021s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 4021s] from third_party/escargot/src/Escargot.h:223, [ 4021s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const long long unsigned int&}; _Tp = long long unsigned int; _Alloc = std::allocator]': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 4021s] 426 | vector<_Tp, _Alloc>:: [ 4021s] | ^~~~~~~~~~~~~~~~~~~ [ 4021s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 4021s] from third_party/escargot/src/Escargot.h:202, [ 4021s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__introsort_loop(_RandomAccessIterator, _RandomAccessIterator, _Size, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Size = int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1939 | __introsort_loop(_RandomAccessIterator __first, [ 4021s] | ^~~~~~~~~~~~~~~~ [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1953:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1953 | std::__introsort_loop(__cut, __last, __depth_limit, __comp); [ 4021s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__insertion_sort(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1839 | __insertion_sort(_RandomAccessIterator __first, [ 4021s] | ^~~~~~~~~~~~~~~~ [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__unguarded_linear_insert(_RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Val_comp_iter >]': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1820:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 1820 | __unguarded_linear_insert(_RandomAccessIterator __last, [ 4021s] | ^~~~~~~~~~~~~~~~~~~~~~~~~ [ 4021s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:61, [ 4021s] from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 4021s] from third_party/escargot/src/Escargot.h:202, [ 4021s] from third_party/escargot/src/builtins/BuiltinJSON.cpp:20: [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h: In function 'void std::__adjust_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Distance = int; _Tp = long long unsigned int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4021s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h:214:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4021s] 214 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, [ 4021s] | ^~~~~~~~~~~~~ [ 4021s] [131/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventBinding.cpp.o [ 4021s] [132/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/Starfish.cpp.o [ 4021s] [133/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobOrBufferSourceOrUSVStringOrReadableStreamBinding.cpp.o [ 4021s] [134/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DBinding.cpp.o [ 4021s] [135/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DOrWebGLRenderingContextOrImageBitmapRenderingContextBinding.cpp.o [ 4021s] [136/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinTypedArray.cpp.o [ 4021s] [137/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobBinding.cpp.o [ 4021s] [138/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationBinding.cpp.o [ 4021s] [139/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrBlobOrDOMStringBinding.cpp.o [ 4022s] [140/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinString.cpp.o [ 4022s] [141/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobCustomBinding.cpp.o [ 4022s] [142/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSConditionRuleBinding.cpp.o [ 4022s] [143/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSBinding.cpp.o [ 4022s] [144/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 4022s] [145/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSCounterStyleRuleBinding.cpp.o [ 4022s] [146/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/canvas/font/Font.cpp.o [ 4022s] [147/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericTypeBinding.cpp.o [ 4022s] [148/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSImportRuleBinding.cpp.o [ 4022s] [149/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeywordValueBinding.cpp.o [ 4022s] [150/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSFontFaceRuleBinding.cpp.o [ 4022s] [151/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeyframeRuleBinding.cpp.o [ 4023s] [152/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericValueBinding.cpp.o [ 4023s] [153/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AttrBinding.cpp.o [ 4023s] [154/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNamespaceRuleBinding.cpp.o [ 4023s] [155/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CDATASectionBinding.cpp.o [ 4023s] [156/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSRuleBinding.cpp.o [ 4023s] [157/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLTFootElementBinding.cpp.o [ 4023s] [158/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleValueBinding.cpp.o [ 4023s] [159/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSSupportsRuleBinding.cpp.o [ 4024s] [160/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeyframesRuleBinding.cpp.o [ 4024s] [161/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleRuleBinding.cpp.o [ 4024s] [162/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasGradientBinding.cpp.o [ 4024s] [163/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSGroupingRuleBinding.cpp.o [ 4024s] [164/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleDeclarationBinding.cpp.o [ 4024s] [165/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSUnitValueBinding.cpp.o [ 4024s] [166/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasPatternBinding.cpp.o [ 4024s] [167/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMMatrix2DInitBinding.cpp.o [ 4024s] [168/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CloseEventInitBinding.cpp.o [ 4024s] [169/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CustomEventInitBinding.cpp.o [ 4024s] [170/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/api/EscargotPublic.cpp.o [ 4024s] In file included from third_party/escargot/src/runtime/ObjectStructurePropertyDescriptor.h:23, [ 4024s] from third_party/escargot/src/runtime/ObjectStructure.h:26, [ 4024s] from third_party/escargot/src/runtime/Object.h:24, [ 4024s] from third_party/escargot/src/runtime/ValueInlines.h:23, [ 4024s] from third_party/escargot/src/runtime/Value.h:303, [ 4024s] from third_party/escargot/src/parser/ast/Node.h:24, [ 4024s] from third_party/escargot/src/api/EscargotPublic.cpp:23: [ 4024s] third_party/escargot/src/runtime/EncodedValue.h: In member function 'void Escargot::TemplateRef::set(const Escargot::TemplatePropertyNameRef&, Escargot::ValueRef*, bool, bool, bool)': [ 4024s] third_party/escargot/src/runtime/EncodedValue.h:296:18: warning: '*((void*)(&)+4).Escargot::EncodedValue::m_data.Escargot::EncodedValueData::payload' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 4024s] 296 | auto payload = m_data.payload; [ 4024s] | ^~~~~~~ [ 4024s] [171/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CoordinatesBinding.cpp.o [ 4024s] [172/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CompositionEventInitBinding.cpp.o [ 4024s] [173/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CompositionEventBinding.cpp.o [ 4024s] [174/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSRuleListBinding.cpp.o [ 4024s] [175/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMMatrixInitBinding.cpp.o [ 4024s] [176/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CloseEventBinding.cpp.o [ 4025s] [177/1197] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/binding/HTMLImageElementOrSVGImageElementOrHTMLVideoElementOrHTMLCanvasElementOrImageBitmapBinding.cpp.o [ 4028s] [218/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLImageElementOrSVGImageElementBinding.cpp.o [ 4028s] [219/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/FocusEventInitBinding.cpp.o [ 4028s] [220/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/EventSourceBinding.cpp.o [ 4028s] [221/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/FocusEventBinding.cpp.o [ 4029s] [222/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/GeopositionBinding.cpp.o [ 4029s] [223/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DocumentFragmentBinding.cpp.o [ 4029s] [224/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/GeolocationBinding.cpp.o [ 4029s] [225/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DocumentTypeBinding.cpp.o [ 4029s] [226/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DocumentHoldable.cpp.o [ 4030s] [227/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/GetRootNodeOptionsBinding.cpp.o [ 4030s] [228/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ElementBinding.cpp.o [ 4030s] [229/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DocumentBinding.cpp.o [ 4030s] [230/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/FormDataBinding.cpp.o [ 4030s] [231/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLBRElementBinding.cpp.o [ 4030s] [232/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLBaseElementBinding.cpp.o [ 4030s] [233/1197] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/binding/HTMLCollectionBinding.cpp.o [ 4031s] [242/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLDataElementBinding.cpp.o [ 4031s] [243/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLElementOrlongBinding.cpp.o [ 4031s] [244/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLSourceElementBinding.cpp.o [ 4031s] [245/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLIFrameElementBinding.cpp.o [ 4031s] [246/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLFieldSetElementBinding.cpp.o [ 4031s] [247/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLFormControlsCollectionBinding.cpp.o [ 4032s] [248/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLElementBinding.cpp.o [ 4032s] [249/1197] Building CXX object 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third_party/escargot/CMakeFiles/escargot.dir/src/heap/LeakCheckerBridge.cpp.o [ 4094s] [1026/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 4095s] [1027/1197] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 4095s] [1028/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/builtins/BuiltinWeakSet.cpp.o [ 4095s] [1029/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/debugger/Debugger.cpp.o [ 4095s] [1030/1197] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 4095s] [1031/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/heap/CustomAllocator.cpp.o [ 4096s] [1032/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 4096s] [1033/1197] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 4096s] [1034/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/ASTAllocator.cpp.o [ 4096s] [1035/1197] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 4096s] [1036/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BackingStore.cpp.o [ 4096s] [1037/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 4096s] [1038/1197] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 4096s] [1039/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Environment.cpp.o [ 4096s] [1040/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 4096s] [1041/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 4097s] [1042/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArrayBufferObject.cpp.o [ 4097s] [1043/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArrayBuffer.cpp.o [ 4097s] [1044/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/ast/Node.cpp.o [ 4097s] [1045/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlPluralRules.cpp.o [ 4097s] [1046/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/AsyncFromSyncIteratorObject.cpp.o [ 4097s] [1047/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlCollator.cpp.o [ 4097s] [1048/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/AtomicString.cpp.o [ 4097s] [1049/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlLocale.cpp.o [ 4097s] [1050/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlRelativeTimeFormat.cpp.o [ 4097s] [1051/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/AsyncGeneratorObject.cpp.o [ 4097s] [1052/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BoundFunctionObject.cpp.o [ 4097s] [1053/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BigInt.cpp.o [ 4098s] [1054/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArrayObject.cpp.o [ 4098s] [1055/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ArgumentsObject.cpp.o [ 4098s] [1056/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/interpreter/ByteCode.cpp.o [ 4098s] [1057/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BigIntObject.cpp.o [ 4098s] [1058/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/BooleanObject.cpp.o [ 4098s] [1059/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/CodeBlock.cpp.o [ 4098s] [1060/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/ScriptParser.cpp.o [ 4098s] [1061/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectStructurePropertyDescriptor.cpp.o [ 4099s] [1062/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/Lexer.cpp.o [ 4099s] third_party/escargot/src/parser/Lexer.cpp: In member function 'char32_t Escargot::EscargotLexer::Scanner::scanUnicodeCodePointEscape()': [ 4099s] third_party/escargot/src/parser/Lexer.cpp:782:25: warning: 'ch' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 4099s] 782 | if (code > 0x10FFFF || ch != '}') { [ 4099s] | ~~~~~~~~~~~~~~~~^~~~~~~~~~~~ [ 4099s] [1063/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Global.cpp.o [ 4099s] [1064/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlNumberFormat.cpp.o [ 4099s] [1065/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Context.cpp.o [ 4099s] [1066/1197] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 4099s] [1067/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/CompressibleString.cpp.o [ 4099s] [1068/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/Script.cpp.o [ 4099s] [1069/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ExecutionState.cpp.o [ 4099s] [1070/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectPrivateMemberStructure.cpp.o [ 4099s] [1071/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/FinalizationRegistryObject.cpp.o [ 4099s] [1072/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/EnumerateObject.cpp.o [ 4099s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 4099s] from third_party/escargot/src/Escargot.h:202, [ 4099s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In member function 'virtual void Escargot::EnumerateObjectWithDestruction::executeEnumeration(Escargot::ExecutionState&, Escargot::EncodedValueVector&)': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:4860:18: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 4860 | std::__sort(__first, __last, __gnu_cxx::__ops::__iter_comp_iter(__comp)); [ 4099s] | ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In member function 'virtual void Escargot::EnumerateObjectWithIteration::executeEnumeration(Escargot::ExecutionState&, Escargot::EncodedValueVector&)': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:4860:18: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 4860 | std::__sort(__first, __last, __gnu_cxx::__ops::__iter_comp_iter(__comp)); [ 4099s] | ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:67, [ 4099s] from third_party/escargot/src/Escargot.h:223, [ 4099s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h: In member function 'void std::vector<_Tp, _Alloc>::push_back(const value_type&) [with _Tp = long long unsigned int; _Alloc = std::allocator]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1195 | _M_realloc_insert(end(), __x); [ 4099s] | ^~~~~~~~~~~~~~~~~ [ 4099s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/vector:72, [ 4099s] from third_party/escargot/src/Escargot.h:223, [ 4099s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const long long unsigned int&}; _Tp = long long unsigned int; _Alloc = std::allocator]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector::iterator' {aka '__gnu_cxx::__normal_iterator >'} changed in GCC 7.1 [ 4099s] 426 | vector<_Tp, _Alloc>:: [ 4099s] | ^~~~~~~~~~~~~~~~~~~ [ 4099s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 4099s] from third_party/escargot/src/Escargot.h:202, [ 4099s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__sort(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1962:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1962 | __sort(_RandomAccessIterator __first, _RandomAccessIterator __last, [ 4099s] | ^~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1962:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1967:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1967 | std::__introsort_loop(__first, __last, [ 4099s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 4099s] 1968 | std::__lg(__last - __first) * 2, [ 4099s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] 1969 | __comp); [ 4099s] | ~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1884:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1884 | std::__insertion_sort(__first, __first + int(_S_threshold), __comp); [ 4099s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1889:23: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1889 | std::__insertion_sort(__first, __last, __comp); [ 4099s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__introsort_loop(_RandomAccessIterator, _RandomAccessIterator, _Size, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Size = int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1939 | __introsort_loop(_RandomAccessIterator __first, [ 4099s] | ^~~~~~~~~~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1939:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1953:25: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1953 | std::__introsort_loop(__cut, __last, __depth_limit, __comp); [ 4099s] | ~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__insertion_sort(_RandomAccessIterator, _RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1839 | __insertion_sort(_RandomAccessIterator __first, [ 4099s] | ^~~~~~~~~~~~~~~~ [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1839:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h: In function 'void std::__unguarded_linear_insert(_RandomAccessIterator, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Compare = __gnu_cxx::__ops::_Val_comp_iter >]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:1820:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 1820 | __unguarded_linear_insert(_RandomAccessIterator __last, [ 4099s] | ^~~~~~~~~~~~~~~~~~~~~~~~~ [ 4099s] In file included from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_algo.h:61, [ 4099s] from /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/algorithm:62, [ 4099s] from third_party/escargot/src/Escargot.h:202, [ 4099s] from third_party/escargot/src/runtime/EnumerateObject.cpp:20: [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h: In function 'void std::__adjust_heap(_RandomAccessIterator, _Distance, _Distance, _Tp, _Compare) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator >; _Distance = int; _Tp = long long unsigned int; _Compare = __gnu_cxx::__ops::_Iter_comp_iter >]': [ 4099s] /usr/lib/gcc/armv7l-tizen-linux-gnueabi/9.2.0/include/c++/bits/stl_heap.h:214:5: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator >' changed in GCC 7.1 [ 4099s] 214 | __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, [ 4099s] | ^~~~~~~~~~~~~ [ 4100s] [1073/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ExecutionPauser.cpp.o [ 4100s] [1074/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IEEE754.cpp.o [ 4100s] third_party/escargot/src/runtime/IEEE754.cpp: In function 'double Escargot::ieee754::ceil(double)': [ 4100s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 4100s] 86 | #define __LO(x) *(int *)&x [ 4100s] | ^~~~~~~~~ [ 4100s] 87 | #define __HIp(x) *(1 + (int *)x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 88 | #define __LOp(x) *(int *)x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 89 | [ 4100s] | [ 4100s] 90 | #else [ 4100s] | ~~~~~ [ 4100s] 91 | [ 4100s] | [ 4100s] 92 | typedef union { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 93 | double value; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 94 | struct { [ 4100s] | ~~~~~~~~ [ 4100s] 95 | uint32_t msw; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 96 | uint32_t lsw; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 97 | } parts; [ 4100s] | ~~~~~~~~ [ 4100s] 98 | struct { [ 4100s] | ~~~~~~~~ [ 4100s] 99 | uint64_t w; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 100 | } xparts; [ 4100s] | ~~~~~~~~~ [ 4100s] 101 | } ieee_double_shape_type; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 102 | [ 4100s] | [ 4100s] 103 | #define __HI(x) *(int *)&x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 104 | #define __LO(x) *(1 + (int *)&x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 105 | #define __HIp(x) *(int *)x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 106 | #define __LOp(x) *(1 + (int *)x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 107 | [ 4100s] | [ 4100s] 108 | #endif [ 4100s] | ~~~~~~ [ 4100s] 109 | [ 4100s] | [ 4100s] 110 | /* Get two 32 bit ints from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 111 | [ 4100s] | [ 4100s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 113 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 114 | ieee_double_shape_type ew_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 115 | ew_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 116 | (ix0) = ew_u.parts.msw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 117 | (ix1) = ew_u.parts.lsw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 118 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 119 | [ 4100s] | [ 4100s] 120 | /* Get a 64-bit int from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 122 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 123 | ieee_double_shape_type ew_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 124 | ew_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 125 | (ix) = ew_u.xparts.w; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 126 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 127 | [ 4100s] | [ 4100s] 128 | /* Get the more significant 32 bit int from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 129 | [ 4100s] | [ 4100s] 130 | #define GET_HIGH_WORD(i, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 131 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 132 | ieee_double_shape_type gh_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 133 | gh_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 134 | (i) = gh_u.parts.msw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 135 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 136 | [ 4100s] | [ 4100s] 137 | /* Get the less significant 32 bit int from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 138 | [ 4100s] | [ 4100s] 139 | #define GET_LOW_WORD(i, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 140 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 141 | ieee_double_shape_type gl_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 142 | gl_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 143 | (i) = gl_u.parts.lsw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 144 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 145 | [ 4100s] | [ 4100s] 146 | /* Set a double from two 32 bit ints. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 147 | [ 4100s] | [ 4100s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 149 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 150 | ieee_double_shape_type iw_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 151 | iw_u.parts.msw = (ix0); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 152 | iw_u.parts.lsw = (ix1); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 153 | (d) = iw_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 154 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 155 | [ 4100s] | [ 4100s] 156 | /* Set a double from a 64-bit int. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 157 | #define INSERT_WORD64(d, ix) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 158 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 159 | ieee_double_shape_type iw_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 160 | iw_u.xparts.w = (ix); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 161 | (d) = iw_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 162 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 163 | [ 4100s] | [ 4100s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 165 | [ 4100s] | [ 4100s] 166 | #define SET_HIGH_WORD(d, v) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 167 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 168 | ieee_double_shape_type sh_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 169 | sh_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 170 | sh_u.parts.msw = (v); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 171 | (d) = sh_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 172 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 173 | [ 4100s] | [ 4100s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 175 | [ 4100s] | [ 4100s] 176 | #define SET_LOW_WORD(d, v) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 177 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 178 | ieee_double_shape_type sl_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 179 | sl_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 180 | sl_u.parts.lsw = (v); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 181 | (d) = sl_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 182 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 183 | [ 4100s] | [ 4100s] 184 | /* Support macro. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 185 | [ 4100s] | [ 4100s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 187 | [ 4100s] | [ 4100s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 193 | [ 4100s] | [ 4100s] 194 | /* __ieee754_rem_pio2(x,y) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 195 | * [ 4100s] | ~ [ 4100s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 197 | * use __kernel_rem_pio2() [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 198 | */ [ 4100s] | ~~ [ 4100s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 200 | { [ 4100s] | ~ [ 4100s] 201 | /* [ 4100s] | ~~ [ 4100s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 203 | */ [ 4100s] | ~~ [ 4100s] 204 | constexpr int32_t two_over_pi[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 205 | 0xA2F983, [ 4100s] | ~~~~~~~~~ [ 4100s] 206 | 0x6E4E44, [ 4100s] | ~~~~~~~~~ [ 4100s] 207 | 0x1529FC, [ 4100s] | ~~~~~~~~~ [ 4100s] 208 | 0x2757D1, [ 4100s] | ~~~~~~~~~ [ 4100s] 209 | 0xF534DD, [ 4100s] | ~~~~~~~~~ [ 4100s] 210 | 0xC0DB62, [ 4100s] | ~~~~~~~~~ [ 4100s] 211 | 0x95993C, [ 4100s] | ~~~~~~~~~ [ 4100s] 212 | 0x439041, [ 4100s] | ~~~~~~~~~ [ 4100s] 213 | 0xFE5163, [ 4100s] | ~~~~~~~~~ [ 4100s] 214 | 0xABDEBB, [ 4100s] | ~~~~~~~~~ [ 4100s] 215 | 0xC561B7, [ 4100s] | ~~~~~~~~~ [ 4100s] 216 | 0x246E3A, [ 4100s] | ~~~~~~~~~ [ 4100s] 217 | 0x424DD2, [ 4100s] | ~~~~~~~~~ [ 4100s] 218 | 0xE00649, [ 4100s] | ~~~~~~~~~ [ 4100s] 219 | 0x2EEA09, [ 4100s] | ~~~~~~~~~ [ 4100s] 220 | 0xD1921C, [ 4100s] | ~~~~~~~~~ [ 4100s] 221 | 0xFE1DEB, [ 4100s] | ~~~~~~~~~ [ 4100s] 222 | 0x1CB129, [ 4100s] | ~~~~~~~~~ [ 4100s] 223 | 0xA73EE8, [ 4100s] | ~~~~~~~~~ [ 4100s] 224 | 0x8235F5, [ 4100s] | ~~~~~~~~~ [ 4100s] 225 | 0x2EBB44, [ 4100s] | ~~~~~~~~~ [ 4100s] 226 | 0x84E99C, [ 4100s] | ~~~~~~~~~ [ 4100s] 227 | 0x7026B4, [ 4100s] | ~~~~~~~~~ [ 4100s] 228 | 0x5F7E41, [ 4100s] | ~~~~~~~~~ [ 4100s] 229 | 0x3991D6, [ 4100s] | ~~~~~~~~~ [ 4100s] 230 | 0x398353, [ 4100s] | ~~~~~~~~~ [ 4100s] 231 | 0x39F49C, [ 4100s] | ~~~~~~~~~ [ 4100s] 232 | 0x845F8B, [ 4100s] | ~~~~~~~~~ [ 4100s] 233 | 0xBDF928, [ 4100s] | ~~~~~~~~~ [ 4100s] 234 | 0x3B1FF8, [ 4100s] | ~~~~~~~~~ [ 4100s] 235 | 0x97FFDE, [ 4100s] | ~~~~~~~~~ [ 4100s] 236 | 0x05980F, [ 4100s] | ~~~~~~~~~ [ 4100s] 237 | 0xEF2F11, [ 4100s] | ~~~~~~~~~ [ 4100s] 238 | 0x8B5A0A, [ 4100s] | ~~~~~~~~~ [ 4100s] 239 | 0x6D1F6D, [ 4100s] | ~~~~~~~~~ [ 4100s] 240 | 0x367ECF, [ 4100s] | ~~~~~~~~~ [ 4100s] 241 | 0x27CB09, [ 4100s] | ~~~~~~~~~ [ 4100s] 242 | 0xB74F46, [ 4100s] | ~~~~~~~~~ [ 4100s] 243 | 0x3F669E, [ 4100s] | ~~~~~~~~~ [ 4100s] 244 | 0x5FEA2D, [ 4100s] | ~~~~~~~~~ [ 4100s] 245 | 0x7527BA, [ 4100s] | ~~~~~~~~~ [ 4100s] 246 | 0xC7EBE5, [ 4100s] | ~~~~~~~~~ [ 4100s] 247 | 0xF17B3D, [ 4100s] | ~~~~~~~~~ [ 4100s] 248 | 0x0739F7, [ 4100s] | ~~~~~~~~~ [ 4100s] 249 | 0x8A5292, [ 4100s] | ~~~~~~~~~ [ 4100s] 250 | 0xEA6BFB, [ 4100s] | ~~~~~~~~~ [ 4100s] 251 | 0x5FB11F, [ 4100s] | ~~~~~~~~~ [ 4100s] 252 | 0x8D5D08, [ 4100s] | ~~~~~~~~~ [ 4100s] 253 | 0x560330, [ 4100s] | ~~~~~~~~~ [ 4100s] 254 | 0x46FC7B, [ 4100s] | ~~~~~~~~~ [ 4100s] 255 | 0x6BABF0, [ 4100s] | ~~~~~~~~~ [ 4100s] 256 | 0xCFBC20, [ 4100s] | ~~~~~~~~~ [ 4100s] 257 | 0x9AF436, [ 4100s] | ~~~~~~~~~ [ 4100s] 258 | 0x1DA9E3, [ 4100s] | ~~~~~~~~~ [ 4100s] 259 | 0x91615E, [ 4100s] | ~~~~~~~~~ [ 4100s] 260 | 0xE61B08, [ 4100s] | ~~~~~~~~~ [ 4100s] 261 | 0x659985, [ 4100s] | ~~~~~~~~~ [ 4100s] 262 | 0x5F14A0, [ 4100s] | ~~~~~~~~~ [ 4100s] 263 | 0x68408D, [ 4100s] | ~~~~~~~~~ [ 4100s] 264 | 0xFFD880, [ 4100s] | ~~~~~~~~~ [ 4100s] 265 | 0x4D7327, [ 4100s] | ~~~~~~~~~ [ 4100s] 266 | 0x310606, [ 4100s] | ~~~~~~~~~ [ 4100s] 267 | 0x1556CA, [ 4100s] | ~~~~~~~~~ [ 4100s] 268 | 0x73A8C9, [ 4100s] | ~~~~~~~~~ [ 4100s] 269 | 0x60E27B, [ 4100s] | ~~~~~~~~~ [ 4100s] 270 | 0xC08C6B, [ 4100s] | ~~~~~~~~~ [ 4100s] 271 | }; [ 4100s] | ~~ [ 4100s] 272 | [ 4100s] | [ 4100s] 273 | constexpr int32_t npio2_hw[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 274 | 0x3FF921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 275 | 0x400921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 276 | 0x4012D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 277 | 0x401921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 278 | 0x401F6A7A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 279 | 0x4022D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 280 | 0x4025FDBB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 281 | 0x402921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 282 | 0x402C463A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 283 | 0x402F6A7A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 284 | 0x4031475C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 285 | 0x4032D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 286 | 0x40346B9C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 287 | 0x4035FDBB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 288 | 0x40378FDB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 289 | 0x403921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 290 | 0x403AB41B, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 291 | 0x403C463A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 292 | 0x403DD85A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 293 | 0x403F6A7A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 294 | 0x40407E4C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 295 | 0x4041475C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 296 | 0x4042106C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 297 | 0x4042D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 298 | 0x4043A28C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 299 | 0x40446B9C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 300 | 0x404534AC, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 301 | 0x4045FDBB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 302 | 0x4046C6CB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 303 | 0x40478FDB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 304 | 0x404858EB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 305 | 0x404921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 306 | }; [ 4100s] | ~~ [ 4100s] 307 | [ 4100s] | [ 4100s] 308 | /* [ 4100s] | ~~ [ 4100s] 309 | * invpio2: 53 bits of 2/pi [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 310 | * pio2_1: first 33 bit of pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 311 | * pio2_1t: pi/2 - pio2_1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 312 | * pio2_2: second 33 bit of pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 313 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 314 | * pio2_3: third 33 bit of pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 315 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 316 | */ [ 4100s] | ~~ [ 4100s] 317 | [ 4100s] | [ 4100s] 318 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 319 | zero [ 4100s] | ~~~~ [ 4100s] 320 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 321 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 322 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 323 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 324 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 325 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 326 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 327 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 328 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 329 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 330 | [ 4100s] | [ 4100s] 331 | double z, w, t, r, fn; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 332 | double tx[3]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 333 | int32_t e0, i, j, nx, n, ix, hx; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 334 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 335 | [ 4100s] | [ 4100s] 336 | z = 0; [ 4100s] | ~~~~~~ [ 4100s] 337 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 338 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 339 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 340 | y[0] = x; [ 4100s] | ~~~~~~~~~ [ 4100s] 341 | y[1] = 0; [ 4100s] | ~~~~~~~~~ [ 4100s] 342 | return 0; [ 4100s] | ~~~~~~~~~ [ 4100s] 343 | } [ 4100s] | ~ [ 4100s] 344 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 345 | if (hx > 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 346 | z = x - pio2_1; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 347 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 348 | y[0] = z - pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 349 | y[1] = (z - y[0]) - pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 350 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 351 | z -= pio2_2; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 352 | y[0] = z - pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 353 | y[1] = (z - y[0]) - pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 354 | } [ 4100s] | ~ [ 4100s] 355 | return 1; [ 4100s] | ~~~~~~~~~ [ 4100s] 356 | } else { /* negative x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 357 | z = x + pio2_1; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 358 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 359 | y[0] = z + pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 360 | y[1] = (z - y[0]) + pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 361 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 362 | z += pio2_2; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 363 | y[0] = z + pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 364 | y[1] = (z - y[0]) + pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 365 | } [ 4100s] | ~ [ 4100s] 366 | return -1; [ 4100s] | ~~~~~~~~~~ [ 4100s] 367 | } [ 4100s] | ~ [ 4100s] 368 | } [ 4100s] | ~ [ 4100s] 369 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 370 | t = fabs(x); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 371 | n = static_cast(t * invpio2 + half); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 372 | fn = static_cast(n); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 373 | r = t - fn * pio2_1; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 374 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 375 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 376 | y[0] = r - w; /* quick check no cancellation */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 377 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 378 | uint32_t high; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 379 | j = ix >> 20; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 380 | y[0] = r - w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 381 | GET_HIGH_WORD(high, y[0]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 382 | i = j - ((high >> 20) & 0x7FF); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 383 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 384 | t = r; [ 4100s] | ~~~~~~ [ 4100s] 385 | w = fn * pio2_2; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 386 | r = t - w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 387 | w = fn * pio2_2t - ((t - r) - w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 388 | y[0] = r - w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 389 | GET_HIGH_WORD(high, y[0]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 390 | i = j - ((high >> 20) & 0x7FF); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 391 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 392 | t = r; /* will cover all possible cases */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 393 | w = fn * pio2_3; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 394 | r = t - w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 395 | w = fn * pio2_3t - ((t - r) - w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 396 | y[0] = r - w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 397 | } [ 4100s] | ~ [ 4100s] 398 | } [ 4100s] | ~ [ 4100s] 399 | } [ 4100s] | ~ [ 4100s] 400 | y[1] = (r - y[0]) - w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 401 | if (hx < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 402 | y[0] = -y[0]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 403 | y[1] = -y[1]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 404 | return -n; [ 4100s] | ~~~~~~~~~~ [ 4100s] 405 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 406 | return n; [ 4100s] | ~~~~~~~~~ [ 4100s] 407 | } [ 4100s] | ~ [ 4100s] 408 | } [ 4100s] | ~ [ 4100s] 409 | /* [ 4100s] | ~~ [ 4100s] 410 | * all other (large) arguments [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 411 | */ [ 4100s] | ~~ [ 4100s] 412 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 413 | y[0] = y[1] = x - x; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 414 | return 0; [ 4100s] | ~~~~~~~~~ [ 4100s] 415 | } [ 4100s] | ~ [ 4100s] 416 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 417 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 418 | SET_LOW_WORD(z, low); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 419 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 420 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 421 | for (i = 0; i < 2; i++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 422 | tx[i] = static_cast(static_cast(z)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 423 | z = (z - tx[i]) * two24; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 424 | } [ 4100s] | ~ [ 4100s] 425 | tx[2] = z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 426 | nx = 3; [ 4100s] | ~~~~~~~ [ 4100s] 427 | while (tx[nx - 1] == zero) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 428 | nx--; /* skip zero term */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 429 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 430 | if (hx < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 431 | y[0] = -y[0]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 432 | y[1] = -y[1]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 433 | return -n; [ 4100s] | ~~~~~~~~~~ [ 4100s] 434 | } [ 4100s] | ~ [ 4100s] 435 | return n; [ 4100s] | ~~~~~~~~~ [ 4100s] 436 | } [ 4100s] | ~ [ 4100s] 437 | [ 4100s] | [ 4100s] 438 | /* __kernel_cos( x, y ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 439 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 440 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 441 | * Input y is the tail of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 442 | * [ 4100s] | ~ [ 4100s] 443 | * Algorithm [ 4100s] | ~~~~~~~~~~~ [ 4100s] 444 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 445 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 446 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 447 | * [0,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 448 | * 4 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 449 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 450 | * where the remez error is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 451 | * [ 4100s] | ~ [ 4100s] 452 | * | 2 4 6 8 10 12 14 | -58 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 453 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 454 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 455 | * [ 4100s] | ~ [ 4100s] 456 | * 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 457 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 458 | * cos(x) = 1 - x*x/2 + r [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 459 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 460 | * ~ cos(x) - x*y, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 461 | * a correction term is necessary in cos(x) and hence [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 462 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 463 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 464 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 465 | * Then [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 466 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 467 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 468 | * magnitude of the latter is at least a quarter of x*x/2, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 469 | * thus, reducing the rounding error in the subtraction. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 470 | */ [ 4100s] | ~~ [ 4100s] 471 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 472 | { [ 4100s] | ~ [ 4100s] 473 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 474 | one [ 4100s] | ~~~ [ 4100s] 475 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 476 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 477 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 478 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 479 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 480 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 481 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 482 | [ 4100s] | [ 4100s] 483 | double a, iz, z, r, qx; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 484 | int32_t ix; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 485 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 486 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 487 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 488 | return one; /* generate inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 489 | } [ 4100s] | ~ [ 4100s] 490 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 491 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 492 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 493 | return one - (0.5 * z - (z * r - x * y)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 494 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 495 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 496 | qx = 0.28125; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 497 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 498 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 499 | } [ 4100s] | ~ [ 4100s] 500 | iz = 0.5 * z - qx; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 501 | a = one - qx; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 502 | return a - (iz - (z * r - x * y)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 503 | } [ 4100s] | ~ [ 4100s] 504 | } [ 4100s] | ~ [ 4100s] 505 | [ 4100s] | [ 4100s] 506 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 507 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 508 | * [ 4100s] | ~ [ 4100s] 509 | * __kernel_rem_pio2 return the last three digits of N with [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 510 | * y = x - N*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 511 | * so that |y| < pi/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 512 | * [ 4100s] | ~ [ 4100s] 513 | * The method is to compute the integer (mod 8) and fraction parts of [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 514 | * (2/pi)*x without doing the full multiplication. In general we [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 515 | * skip the part of the product that are known to be a huge integer ( [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 516 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 517 | * independent of the exponent of the input. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 518 | * [ 4100s] | ~ [ 4100s] 519 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 520 | * [ 4100s] | ~ [ 4100s] 521 | * Input parameters: [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 522 | * x[] The input value (must be positive) is broken into nx [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 523 | * pieces of 24-bit integers in double precision format. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 524 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 525 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 526 | * match x's up to 24 bits. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 527 | * [ 4100s] | ~ [ 4100s] 528 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 529 | * e0 = ilogb(z)-23 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 530 | * z = scalbn(z,-e0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 531 | * for i = 0,1,2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 532 | * x[i] = floor(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 533 | * z = (z-x[i])*2**24 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 534 | * [ 4100s] | ~ [ 4100s] 535 | * [ 4100s] | ~ [ 4100s] 536 | * y[] output result in an array of double precision numbers. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 537 | * The dimension of y[] is: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 538 | * 24-bit precision 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 539 | * 53-bit precision 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 540 | * 64-bit precision 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 541 | * 113-bit precision 3 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 542 | * The actual value is the sum of them. Thus for 113-bit [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 543 | * precison, one may have to do something like: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 544 | * [ 4100s] | ~ [ 4100s] 545 | * long double t,w,r_head, r_tail; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 546 | * t = (long double)y[2] + (long double)y[1]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 547 | * w = (long double)y[0]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 548 | * r_head = t+w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 549 | * r_tail = w - (r_head - t); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 550 | * [ 4100s] | ~ [ 4100s] 551 | * e0 The exponent of x[0] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 552 | * [ 4100s] | ~ [ 4100s] 553 | * nx dimension of x[] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 554 | * [ 4100s] | ~ [ 4100s] 555 | * prec an integer indicating the precision: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 556 | * 0 24 bits (single) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 557 | * 1 53 bits (double) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 558 | * 2 64 bits (extended) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 559 | * 3 113 bits (quad) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 560 | * [ 4100s] | ~ [ 4100s] 561 | * ipio2[] [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 562 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 563 | * bit of 2/pi after binary point. The corresponding [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 564 | * floating value is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 565 | * [ 4100s] | ~ [ 4100s] 566 | * ipio2[i] * 2^(-24(i+1)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 567 | * [ 4100s] | ~ [ 4100s] 568 | * External function: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 569 | * double scalbn(), floor(); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 570 | * [ 4100s] | ~ [ 4100s] 571 | * [ 4100s] | ~ [ 4100s] 572 | * Here is the description of some local variables: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 573 | * [ 4100s] | ~ [ 4100s] 574 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 575 | * in the computation. The recommended value is 2,3,4, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 576 | * 6 for single, double, extended,and quad. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 577 | * [ 4100s] | ~ [ 4100s] 578 | * jz local integer variable indicating the number of [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 579 | * terms of ipio2[] used. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 580 | * [ 4100s] | ~ [ 4100s] 581 | * jx nx - 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 582 | * [ 4100s] | ~ [ 4100s] 583 | * jv index for pointing to the suitable ipio2[] for the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 584 | * computation. In general, we want [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 585 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 586 | * is an integer. Thus [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 587 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 588 | * Hence jv = max(0,(e0-3)/24). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 589 | * [ 4100s] | ~ [ 4100s] 590 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 591 | * [ 4100s] | ~ [ 4100s] 592 | * q[] double array with integral value, representing the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 593 | * 24-bits chunk of the product of x and 2/pi. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 594 | * [ 4100s] | ~ [ 4100s] 595 | * q0 the corresponding exponent of q[0]. Note that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 596 | * exponent for q[i] would be q0-24*i. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 597 | * [ 4100s] | ~ [ 4100s] 598 | * PIo2[] double precision array, obtained by cutting pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 599 | * into 24 bits chunks. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 600 | * [ 4100s] | ~ [ 4100s] 601 | * f[] ipio2[] in floating point [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 602 | * [ 4100s] | ~ [ 4100s] 603 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 604 | * [ 4100s] | ~ [ 4100s] 605 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 606 | * [ 4100s] | ~ [ 4100s] 607 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 608 | * it also indicates the *sign* of the result. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 609 | * [ 4100s] | ~ [ 4100s] 610 | */ [ 4100s] | ~~ [ 4100s] 611 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 612 | const int32_t *ipio2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 613 | { [ 4100s] | ~ [ 4100s] 614 | /* Constants: [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 615 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 616 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 617 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 618 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 619 | */ [ 4100s] | ~~ [ 4100s] 620 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 621 | [ 4100s] | [ 4100s] 622 | constexpr double PIo2[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 623 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 624 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 625 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 626 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 627 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 628 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 629 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 630 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 631 | }; [ 4100s] | ~~ [ 4100s] 632 | [ 4100s] | [ 4100s] 633 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 634 | zero [ 4100s] | ~~~~ [ 4100s] 635 | = 0.0, [ 4100s] | ~~~~~~ [ 4100s] 636 | one = 1.0, [ 4100s] | ~~~~~~~~~~ [ 4100s] 637 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 638 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 639 | [ 4100s] | [ 4100s] 640 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 641 | double z, fw, f[20], fq[20], q[20]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 642 | [ 4100s] | [ 4100s] 643 | /* initialize jk*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 644 | jk = init_jk[prec]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 645 | jp = jk; [ 4100s] | ~~~~~~~~ [ 4100s] 646 | [ 4100s] | [ 4100s] 647 | /* determine jx,jv,q0, note that 3>q0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 648 | jx = nx - 1; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 649 | jv = (e0 - 3) / 24; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 650 | if (jv < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 651 | jv = 0; [ 4100s] | ~~~~~~~ [ 4100s] 652 | q0 = e0 - 24 * (jv + 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 653 | [ 4100s] | [ 4100s] 654 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 655 | j = jv - jx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 656 | m = jx + jk; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 657 | for (i = 0; i <= m; i++, j++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 658 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 659 | } [ 4100s] | ~ [ 4100s] 660 | [ 4100s] | [ 4100s] 661 | /* compute q[0],q[1],...q[jk] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 662 | for (i = 0; i <= jk; i++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 663 | for (j = 0, fw = 0.0; j <= jx; j++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 664 | fw += x[j] * f[jx + i - j]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 665 | q[i] = fw; [ 4100s] | ~~~~~~~~~~ [ 4100s] 666 | } [ 4100s] | ~ [ 4100s] 667 | [ 4100s] | [ 4100s] 668 | jz = jk; [ 4100s] | ~~~~~~~~ [ 4100s] 669 | recompute: [ 4100s] | ~~~~~~~~~~ [ 4100s] 670 | /* distill q[] into iq[] reversingly */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 671 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 672 | fw = static_cast(static_cast(twon24 * z)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 673 | iq[i] = static_cast(z - two24 * fw); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 674 | z = q[j - 1] + fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 675 | } [ 4100s] | ~ [ 4100s] 676 | [ 4100s] | [ 4100s] 677 | /* compute n */ [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 678 | z = scalbn(z, q0); /* actual value of z */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 679 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 680 | n = static_cast(z); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 681 | z -= static_cast(n); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 682 | ih = 0; [ 4100s] | ~~~~~~~ [ 4100s] 683 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 684 | i = (iq[jz - 1] >> (24 - q0)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 685 | n += i; [ 4100s] | ~~~~~~~ [ 4100s] 686 | iq[jz - 1] -= i << (24 - q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 687 | ih = iq[jz - 1] >> (23 - q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 688 | } else if (q0 == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 689 | ih = iq[jz - 1] >> 23; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 690 | } else if (z >= 0.5) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 691 | ih = 2; [ 4100s] | ~~~~~~~ [ 4100s] 692 | } [ 4100s] | ~ [ 4100s] 693 | [ 4100s] | [ 4100s] 694 | if (ih > 0) { /* q > 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 695 | n += 1; [ 4100s] | ~~~~~~~ [ 4100s] 696 | carry = 0; [ 4100s] | ~~~~~~~~~~ [ 4100s] 697 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 698 | j = iq[i]; [ 4100s] | ~~~~~~~~~~ [ 4100s] 699 | if (carry == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 700 | if (j != 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 701 | carry = 1; [ 4100s] | ~~~~~~~~~~ [ 4100s] 702 | iq[i] = 0x1000000 - j; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 703 | } [ 4100s] | ~ [ 4100s] 704 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 705 | iq[i] = 0xFFFFFF - j; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 706 | } [ 4100s] | ~ [ 4100s] 707 | } [ 4100s] | ~ [ 4100s] 708 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 709 | switch (q0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 710 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 711 | iq[jz - 1] &= 0x7FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 712 | break; [ 4100s] | ~~~~~~ [ 4100s] 713 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 714 | iq[jz - 1] &= 0x3FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 715 | break; [ 4100s] | ~~~~~~ [ 4100s] 716 | } [ 4100s] | ~ [ 4100s] 717 | } [ 4100s] | ~ [ 4100s] 718 | if (ih == 2) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 719 | z = one - z; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 720 | if (carry != 0) [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 721 | z -= scalbn(one, q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 722 | } [ 4100s] | ~ [ 4100s] 723 | } [ 4100s] | ~ [ 4100s] 724 | [ 4100s] | [ 4100s] 725 | /* check if recomputation is needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 726 | if (z == zero) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 727 | j = 0; [ 4100s] | ~~~~~~ [ 4100s] 728 | for (i = jz - 1; i >= jk; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 729 | j |= iq[i]; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 730 | if (j == 0) { /* need recomputation */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 731 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 732 | /* k = no. of terms needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 733 | } [ 4100s] | ~ [ 4100s] 734 | [ 4100s] | [ 4100s] 735 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 736 | f[jx + i] = ipio2[jv + i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 737 | for (j = 0, fw = 0.0; j <= jx; j++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 738 | fw += x[j] * f[jx + i - j]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 739 | q[i] = fw; [ 4100s] | ~~~~~~~~~~ [ 4100s] 740 | } [ 4100s] | ~ [ 4100s] 741 | jz += k; [ 4100s] | ~~~~~~~~ [ 4100s] 742 | goto recompute; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 743 | } [ 4100s] | ~ [ 4100s] 744 | } [ 4100s] | ~ [ 4100s] 745 | [ 4100s] | [ 4100s] 746 | /* chop off zero terms */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 747 | if (z == 0.0) { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 748 | jz -= 1; [ 4100s] | ~~~~~~~~ [ 4100s] 749 | q0 -= 24; [ 4100s] | ~~~~~~~~~ [ 4100s] 750 | while (iq[jz] == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 751 | jz--; [ 4100s] | ~~~~~ [ 4100s] 752 | q0 -= 24; [ 4100s] | ~~~~~~~~~ [ 4100s] 753 | } [ 4100s] | ~ [ 4100s] 754 | } else { /* break z into 24-bit if necessary */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 755 | z = scalbn(z, -q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 756 | if (z >= two24) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 757 | fw = static_cast(static_cast(twon24 * z)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 758 | iq[jz] = z - two24 * fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 759 | jz += 1; [ 4100s] | ~~~~~~~~ [ 4100s] 760 | q0 += 24; [ 4100s] | ~~~~~~~~~ [ 4100s] 761 | iq[jz] = fw; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 762 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 763 | iq[jz] = z; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 764 | } [ 4100s] | ~ [ 4100s] 765 | } [ 4100s] | ~ [ 4100s] 766 | [ 4100s] | [ 4100s] 767 | /* convert integer "bit" chunk to floating-point value */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 768 | fw = scalbn(one, q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 769 | for (i = jz; i >= 0; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 770 | q[i] = fw * iq[i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 771 | fw *= twon24; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 772 | } [ 4100s] | ~ [ 4100s] 773 | [ 4100s] | [ 4100s] 774 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 775 | for (i = jz; i >= 0; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 776 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 777 | fw += PIo2[k] * q[i + k]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 778 | fq[jz - i] = fw; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 779 | } [ 4100s] | ~ [ 4100s] 780 | [ 4100s] | [ 4100s] 781 | /* compress fq[] into y[] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 782 | switch (prec) { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 783 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 784 | fw = 0.0; [ 4100s] | ~~~~~~~~~ [ 4100s] 785 | for (i = jz; i >= 0; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 786 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 787 | y[0] = (ih == 0) ? fw : -fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 788 | break; [ 4100s] | ~~~~~~ [ 4100s] 789 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 790 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 791 | fw = 0.0; [ 4100s] | ~~~~~~~~~ [ 4100s] 792 | for (i = jz; i >= 0; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 793 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 794 | y[0] = (ih == 0) ? fw : -fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 795 | fw = fq[0] - fw; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 796 | for (i = 1; i <= jz; i++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 797 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 798 | y[1] = (ih == 0) ? fw : -fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 799 | break; [ 4100s] | ~~~~~~ [ 4100s] 800 | case 3: /* painful */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 801 | for (i = jz; i > 0; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 802 | fw = fq[i - 1] + fq[i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 803 | fq[i] += fq[i - 1] - fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 804 | fq[i - 1] = fw; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 805 | } [ 4100s] | ~ [ 4100s] 806 | for (i = jz; i > 1; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 807 | fw = fq[i - 1] + fq[i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 808 | fq[i] += fq[i - 1] - fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 809 | fq[i - 1] = fw; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 810 | } [ 4100s] | ~ [ 4100s] 811 | for (fw = 0.0, i = jz; i >= 2; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 812 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 813 | if (ih == 0) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 814 | y[0] = fq[0]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 815 | y[1] = fq[1]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 816 | y[2] = fw; [ 4100s] | ~~~~~~~~~~ [ 4100s] 817 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 818 | y[0] = -fq[0]; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 819 | y[1] = -fq[1]; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 820 | y[2] = -fw; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 821 | } [ 4100s] | ~ [ 4100s] 822 | } [ 4100s] | ~ [ 4100s] 823 | return n & 7; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 824 | } [ 4100s] | ~ [ 4100s] 825 | [ 4100s] | [ 4100s] 826 | /* __kernel_sin( x, y, iy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 827 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 828 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 829 | * Input y is the tail of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 830 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 831 | * [ 4100s] | ~ [ 4100s] 832 | * Algorithm [ 4100s] | ~~~~~~~~~~~ [ 4100s] 833 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 834 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 835 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 836 | * [0,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 837 | * 3 13 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 838 | * sin(x) ~ x + S1*x + ... + S6*x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 839 | * where [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 840 | * [ 4100s] | ~ [ 4100s] 841 | * |sin(x) 2 4 6 8 10 12 | -58 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 842 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 843 | * | x | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 844 | * [ 4100s] | ~ [ 4100s] 845 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 846 | * ~ sin(x) + (1-x*x/2)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 847 | * For better accuracy, let [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 848 | * 3 2 2 2 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 849 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 850 | * then 3 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 851 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 852 | */ [ 4100s] | ~~ [ 4100s] 853 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 854 | { [ 4100s] | ~ [ 4100s] 855 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 856 | half [ 4100s] | ~~~~ [ 4100s] 857 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 858 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 859 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 860 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 861 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 862 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 863 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 864 | [ 4100s] | [ 4100s] 865 | double z, r, v; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 866 | int32_t ix; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 867 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 868 | ix &= 0x7FFFFFFF; /* high word of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 869 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 870 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 871 | } /* generate inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 872 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 873 | v = z * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 874 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 875 | if (iy == 0) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 876 | return x + v * (S1 + z * r); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 877 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 878 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 879 | } [ 4100s] | ~ [ 4100s] 880 | } [ 4100s] | ~ [ 4100s] 881 | [ 4100s] | [ 4100s] 882 | /* __kernel_tan( x, y, k ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 883 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 884 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 885 | * Input y is the tail of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 886 | * Input k indicates whether tan (if k=1) or [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 887 | * -1/tan (if k= -1) is returned. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 888 | * [ 4100s] | ~ [ 4100s] 889 | * Algorithm [ 4100s] | ~~~~~~~~~~~ [ 4100s] 890 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 891 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 892 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 893 | * [0,0.67434] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 894 | * 3 27 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 895 | * tan(x) ~ x + T1*x + ... + T13*x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 896 | * where [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 897 | * [ 4100s] | ~ [ 4100s] 898 | * |tan(x) 2 4 26 | -59.2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 899 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 900 | * | x | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 901 | * [ 4100s] | ~ [ 4100s] 902 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 903 | * ~ tan(x) + (1+x*x)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 904 | * Therefore, for better accuracy in computing tan(x+y), let [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 905 | * 3 2 2 2 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 906 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 907 | * then [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 908 | * 3 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 909 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 910 | * [ 4100s] | ~ [ 4100s] 911 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 912 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 913 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 914 | */ [ 4100s] | ~~ [ 4100s] 915 | double __kernel_tan(double x, double y, int iy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 916 | { [ 4100s] | ~ [ 4100s] 917 | constexpr double xxx[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 918 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 919 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 920 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 921 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 922 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 923 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 924 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 925 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 926 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 927 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 928 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 929 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 930 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 931 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 932 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 933 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 934 | }; [ 4100s] | ~~ [ 4100s] 935 | #define one xxx[13] [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 936 | #define pio4 xxx[14] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 937 | #define pio4lo xxx[15] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 938 | #define T xxx [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 939 | [ 4100s] | [ 4100s] 940 | double z, r, v, w, s; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 941 | int32_t ix, hx; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 942 | [ 4100s] | [ 4100s] 943 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 944 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 945 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 946 | /* generate inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 947 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 948 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 949 | if (((ix | low) | (iy + 1)) == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 950 | return one / fabs(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 951 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 952 | if (iy == 1) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 953 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 954 | } else { /* compute -1 / (x+y) carefully */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 955 | double a, t; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 956 | [ 4100s] | [ 4100s] 957 | z = w = x + y; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 958 | SET_LOW_WORD(z, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 959 | v = y - (z - x); [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 960 | t = a = -one / w; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 961 | SET_LOW_WORD(t, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 962 | s = one + t * z; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 963 | return t + a * (s + t * v); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 964 | } [ 4100s] | ~ [ 4100s] 965 | } [ 4100s] | ~ [ 4100s] 966 | } [ 4100s] | ~ [ 4100s] 967 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 968 | if (hx < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 969 | x = -x; [ 4100s] | ~~~~~~~ [ 4100s] 970 | y = -y; [ 4100s] | ~~~~~~~ [ 4100s] 971 | } [ 4100s] | ~ [ 4100s] 972 | z = pio4 - x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 973 | w = pio4lo - y; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 974 | x = z + w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 975 | y = 0.0; [ 4100s] | ~~~~~~~~ [ 4100s] 976 | } [ 4100s] | ~ [ 4100s] 977 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 978 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 979 | /* [ 4100s] | ~~ [ 4100s] 980 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 981 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 982 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 983 | */ [ 4100s] | ~~ [ 4100s] 984 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 985 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 986 | s = z * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 987 | r = y + z * (s * (r + v) + y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 988 | r += T[0] * s; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 989 | w = x + r; [ 4100s] | ~~~~~~~~~~ [ 4100s] 990 | if (ix >= 0x3FE59428) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 991 | v = iy; [ 4100s] | ~~~~~~~ [ 4100s] 992 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 993 | } [ 4100s] | ~ [ 4100s] 994 | if (iy == 1) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 995 | return w; [ 4100s] | ~~~~~~~~~ [ 4100s] 996 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 997 | /* [ 4100s] | ~~ [ 4100s] 998 | * if allow error up to 2 ulp, simply return [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 999 | * -1.0 / (x+r) here [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1000 | */ [ 4100s] | ~~ [ 4100s] 1001 | /* compute -1.0 / (x+r) accurately */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1002 | double a, t; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1003 | z = w; [ 4100s] | ~~~~~~ [ 4100s] 1004 | SET_LOW_WORD(z, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1005 | v = r - (z - x); /* z+v = r+x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1006 | t = a = -1.0 / w; /* a = -1.0/w */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1007 | SET_LOW_WORD(t, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1008 | s = 1.0 + t * z; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1009 | return t + a * (s + t * v); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1010 | } [ 4100s] | ~ [ 4100s] 1011 | [ 4100s] | [ 4100s] 1012 | #undef one [ 4100s] | ~~~~~~~~~~ [ 4100s] 1013 | #undef pio4 [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1014 | #undef pio4lo [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1015 | #undef T [ 4100s] | ~~~~~~~~ [ 4100s] 1016 | } [ 4100s] | ~ [ 4100s] 1017 | [ 4100s] | [ 4100s] 1018 | } // namespace [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1019 | [ 4100s] | [ 4100s] 1020 | /* acos(x) [ 4100s] | ~~~~~~~~~~ [ 4100s] 1021 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1022 | * acos(x) = pi/2 - asin(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1023 | * acos(-x) = pi/2 + asin(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1024 | * For |x|<=0.5 [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1025 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1026 | * For x>0.5 [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1027 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1028 | * = 2asin(sqrt((1-x)/2)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1029 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1030 | * = 2f + (2c + 2s*z*R(z)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1031 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1032 | * for f so that f+c ~ sqrt(z). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1033 | * For x<-0.5 [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1034 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1035 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1036 | * [ 4100s] | ~ [ 4100s] 1037 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1038 | * if x is NaN, return x itself; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1039 | * if |x|>1, return NaN with invalid signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1040 | * [ 4100s] | ~ [ 4100s] 1041 | * Function needed: sqrt [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1042 | */ [ 4100s] | ~~ [ 4100s] 1043 | double acos(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1044 | { [ 4100s] | ~ [ 4100s] 1045 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1046 | one [ 4100s] | ~~~ [ 4100s] 1047 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1048 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1049 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1050 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1051 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1052 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1053 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1054 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1055 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1056 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1057 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1058 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1059 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1060 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1061 | [ 4100s] | [ 4100s] 1062 | double z, p, q, r, w, s, c, df; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1063 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1064 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1065 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1066 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1067 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1068 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1069 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1070 | if (hx > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1071 | return 0.0; /* acos(1) = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1072 | else [ 4100s] | ~~~~ [ 4100s] 1073 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1074 | } [ 4100s] | ~ [ 4100s] 1075 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1076 | } [ 4100s] | ~ [ 4100s] 1077 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1078 | if (ix <= 0x3C600000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1079 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1080 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1081 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1082 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1083 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1084 | return pio2_hi - (x - (pio2_lo - x * r)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1085 | } else if (hx < 0) { /* x < -0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1086 | z = (one + x) * 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1087 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1088 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1089 | s = sqrt(z); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1090 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1091 | w = r * s - pio2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1092 | return pi - 2.0 * (s + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1093 | } else { /* x > 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1094 | z = (one - x) * 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1095 | s = sqrt(z); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1096 | df = s; [ 4100s] | ~~~~~~~ [ 4100s] 1097 | SET_LOW_WORD(df, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1098 | c = (z - df * df) / (s + df); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1099 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1100 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1101 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1102 | w = r * s + c; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1103 | return 2.0 * (df + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1104 | } [ 4100s] | ~ [ 4100s] 1105 | } [ 4100s] | ~ [ 4100s] 1106 | [ 4100s] | [ 4100s] 1107 | /* acosh(x) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1108 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1109 | * Based on [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1110 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1111 | * we have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1112 | * acosh(x) := log(x)+ln2, if x is large; else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1113 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1114 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1115 | * [ 4100s] | ~ [ 4100s] 1116 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1117 | * acosh(x) is NaN with signal if x<1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1118 | * acosh(NaN) is NaN without signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1119 | */ [ 4100s] | ~~ [ 4100s] 1120 | double acosh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1121 | { [ 4100s] | ~ [ 4100s] 1122 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1123 | one [ 4100s] | ~~~ [ 4100s] 1124 | = 1.0, [ 4100s] | ~~~~~~ [ 4100s] 1125 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1126 | double t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1127 | int32_t hx; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1128 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1129 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1130 | if (hx < 0x3FF00000) { /* x < 1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1131 | return (x - x) / (x - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1132 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1133 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1134 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1135 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1136 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1137 | } [ 4100s] | ~ [ 4100s] 1138 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1139 | return 0.0; /* acosh(1) = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1140 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1141 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1142 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1143 | } else { /* 10.98 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1163 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1164 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1165 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1166 | * f = hi part of s; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1167 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1168 | * and [ 4100s] | ~~~~~~~~~~ [ 4100s] 1169 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1170 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1171 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1172 | * [ 4100s] | ~ [ 4100s] 1173 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1174 | * if x is NaN, return x itself; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1175 | * if |x|>1, return NaN with invalid signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1176 | */ [ 4100s] | ~~ [ 4100s] 1177 | double asin(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1178 | { [ 4100s] | ~ [ 4100s] 1179 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1180 | one [ 4100s] | ~~~ [ 4100s] 1181 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1182 | huge = 1.000e+300, [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1183 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1184 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1185 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1186 | /* coefficient for R(x^2) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1187 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1188 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1189 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1190 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1191 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1192 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1193 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1194 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1195 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1196 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1197 | [ 4100s] | [ 4100s] 1198 | double t, w, p, q, c, r, s; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1199 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1200 | [ 4100s] | [ 4100s] 1201 | t = 0; [ 4100s] | ~~~~~~ [ 4100s] 1202 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1203 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1204 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1205 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1206 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1207 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1208 | return x * pio2_hi + x * pio2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1209 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1210 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1211 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1212 | return x; /* return x with inexact if x!=0*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1213 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1214 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1215 | } [ 4100s] | ~ [ 4100s] 1216 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1217 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1218 | w = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1219 | return x + x * w; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1220 | } [ 4100s] | ~ [ 4100s] 1221 | /* 1> |x|>= 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1222 | w = one - fabs(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1223 | t = w * 0.5; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1224 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1225 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1226 | s = sqrt(t); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1227 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1228 | w = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1229 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1230 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1231 | w = s; [ 4100s] | ~~~~~~ [ 4100s] 1232 | SET_LOW_WORD(w, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1233 | c = (t - w * w) / (s + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1234 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1235 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1236 | q = pio4_hi - 2.0 * w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1237 | t = pio4_hi - (p - q); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1238 | } [ 4100s] | ~ [ 4100s] 1239 | if (hx > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1240 | return t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1241 | else [ 4100s] | ~~~~ [ 4100s] 1242 | return -t; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1243 | } [ 4100s] | ~ [ 4100s] 1244 | /* asinh(x) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1245 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1246 | * Based on [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1247 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1248 | * we have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1249 | * asinh(x) := x if 1+x*x=1, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1250 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1251 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1252 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1253 | */ [ 4100s] | ~~ [ 4100s] 1254 | double asinh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1255 | { [ 4100s] | ~ [ 4100s] 1256 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1257 | one [ 4100s] | ~~~ [ 4100s] 1258 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1259 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1260 | huge = 1.00000000000000000000e+300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1261 | [ 4100s] | [ 4100s] 1262 | double t, w; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1263 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1264 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1265 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1266 | if (ix >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1267 | return x + x; /* x is inf or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1268 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1269 | return x; /* return x inexact except 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1270 | } [ 4100s] | ~ [ 4100s] 1271 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1272 | w = log(fabs(x)) + ln2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1273 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1274 | t = fabs(x); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1275 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1276 | } else { /* 2.0 > |x| > 2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1277 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1278 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1279 | } [ 4100s] | ~ [ 4100s] 1280 | if (hx > 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1281 | return w; [ 4100s] | ~~~~~~~~~ [ 4100s] 1282 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1283 | return -w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1284 | } [ 4100s] | ~ [ 4100s] 1285 | } [ 4100s] | ~ [ 4100s] 1286 | [ 4100s] | [ 4100s] 1287 | /* atan(x) [ 4100s] | ~~~~~~~~~~ [ 4100s] 1288 | * Method [ 4100s] | ~~~~~~~~ [ 4100s] 1289 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1290 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1291 | * is further reduced to one of the following intervals and the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1292 | * arctangent of t is evaluated by the corresponding formula: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1293 | * [ 4100s] | ~ [ 4100s] 1294 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1295 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1296 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1297 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1298 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1299 | * [ 4100s] | ~ [ 4100s] 1300 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1301 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1302 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1303 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1304 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1305 | */ [ 4100s] | ~~ [ 4100s] 1306 | double atan(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1307 | { [ 4100s] | ~ [ 4100s] 1308 | constexpr double atanhi[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1309 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1310 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1311 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1312 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1313 | }; [ 4100s] | ~~ [ 4100s] 1314 | [ 4100s] | [ 4100s] 1315 | constexpr double atanlo[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1316 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1317 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1318 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1319 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1320 | }; [ 4100s] | ~~ [ 4100s] 1321 | [ 4100s] | [ 4100s] 1322 | constexpr double aT[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1323 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1324 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1325 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1326 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1327 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1328 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1329 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1330 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1331 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1332 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1333 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1334 | }; [ 4100s] | ~~ [ 4100s] 1335 | [ 4100s] | [ 4100s] 1336 | constexpr double one = 1.0, huge = 1.0e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1337 | [ 4100s] | [ 4100s] 1338 | double w, s1, s2, z; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1339 | int32_t ix, hx, id; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1340 | [ 4100s] | [ 4100s] 1341 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1342 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1343 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1344 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1345 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1346 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1347 | return x + x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1348 | if (hx > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1349 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1350 | else [ 4100s] | ~~~~ [ 4100s] 1351 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1352 | } [ 4100s] | ~ [ 4100s] 1353 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1354 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1355 | return x; /* raise inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1356 | } [ 4100s] | ~ [ 4100s] 1357 | id = -1; [ 4100s] | ~~~~~~~~ [ 4100s] 1358 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1359 | x = fabs(x); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1360 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1361 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1362 | id = 0; [ 4100s] | ~~~~~~~ [ 4100s] 1363 | x = (2.0 * x - one) / (2.0 + x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1364 | } else { /* 11/16<=|x|< 19/16 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1365 | id = 1; [ 4100s] | ~~~~~~~ [ 4100s] 1366 | x = (x - one) / (x + one); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1367 | } [ 4100s] | ~ [ 4100s] 1368 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1369 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1370 | id = 2; [ 4100s] | ~~~~~~~ [ 4100s] 1371 | x = (x - 1.5) / (one + 1.5 * x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1372 | } else { /* 2.4375 <= |x| < 2^66 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1373 | id = 3; [ 4100s] | ~~~~~~~ [ 4100s] 1374 | x = -1.0 / x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1375 | } [ 4100s] | ~ [ 4100s] 1376 | } [ 4100s] | ~ [ 4100s] 1377 | } [ 4100s] | ~ [ 4100s] 1378 | /* end of argument reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1379 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1380 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1381 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1382 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1383 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1384 | if (id < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1385 | return x - x * (s1 + s2); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1386 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1387 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1388 | return (hx < 0) ? -z : z; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1389 | } [ 4100s] | ~ [ 4100s] 1390 | } [ 4100s] | ~ [ 4100s] 1391 | [ 4100s] | [ 4100s] 1392 | /* atan2(y,x) [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1393 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1394 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1395 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1396 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1397 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1398 | * [ 4100s] | ~ [ 4100s] 1399 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1400 | * [ 4100s] | ~ [ 4100s] 1401 | * ATAN2((anything), NaN ) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1402 | * ATAN2(NAN , (anything) ) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1403 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1404 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1405 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1406 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1407 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1408 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1409 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1410 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1411 | * [ 4100s] | ~ [ 4100s] 1412 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1413 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1414 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1415 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1416 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1417 | */ [ 4100s] | ~~ [ 4100s] 1418 | double atan2(double y, double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1419 | { [ 4100s] | ~ [ 4100s] 1420 | constexpr volatile double tiny = 1.0e-300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1421 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1422 | zero [ 4100s] | ~~~~ [ 4100s] 1423 | = 0.0, [ 4100s] | ~~~~~~ [ 4100s] 1424 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1425 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1426 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1427 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1428 | [ 4100s] | [ 4100s] 1429 | double z; [ 4100s] | ~~~~~~~~~ [ 4100s] 1430 | int32_t k, m, hx, hy, ix, iy; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1431 | uint32_t lx, ly; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1432 | [ 4100s] | [ 4100s] 1433 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1434 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1435 | EXTRACT_WORDS(hy, ly, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1436 | iy = hy & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1437 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1438 | return x + y; /* x or y is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1439 | } [ 4100s] | ~ [ 4100s] 1440 | if (((hx - 0x3FF00000) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1441 | return atan(y); /* x=1.0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1442 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1443 | [ 4100s] | [ 4100s] 1444 | /* when y = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1445 | if ((iy | ly) == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1446 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1447 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1448 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1449 | return y; /* atan(+-0,+anything)=+-0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1450 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1451 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1452 | case 3: [ 4100s] | ~~~~~~~ [ 4100s] 1453 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1454 | } [ 4100s] | ~ [ 4100s] 1455 | } [ 4100s] | ~ [ 4100s] 1456 | /* when x = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1457 | if ((ix | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1458 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1459 | [ 4100s] | [ 4100s] 1460 | /* when x is INF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1461 | if (ix == 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1462 | if (iy == 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1463 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1464 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1465 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1466 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1467 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1468 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1469 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1470 | case 3: [ 4100s] | ~~~~~~~ [ 4100s] 1471 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1472 | } [ 4100s] | ~ [ 4100s] 1473 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1474 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1475 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1476 | return zero; /* atan(+...,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1477 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1478 | return -zero; /* atan(-...,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1479 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1480 | return pi + tiny; /* atan(+...,-INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1481 | case 3: [ 4100s] | ~~~~~~~ [ 4100s] 1482 | return -pi - tiny; /* atan(-...,-INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1483 | } [ 4100s] | ~ [ 4100s] 1484 | } [ 4100s] | ~ [ 4100s] 1485 | } [ 4100s] | ~ [ 4100s] 1486 | /* when y is INF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1487 | if (iy == 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1488 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1489 | [ 4100s] | [ 4100s] 1490 | /* compute y/x */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1491 | k = (iy - ix) >> 20; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1492 | if (k > 60) { /* |y/x| > 2**60 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1493 | z = pi_o_2 + 0.5 * pi_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1494 | m &= 1; [ 4100s] | ~~~~~~~ [ 4100s] 1495 | } else if (hx < 0 && k < -60) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1496 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1497 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1498 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1499 | } [ 4100s] | ~ [ 4100s] 1500 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1501 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1502 | return z; /* atan(+,+) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1503 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1504 | return -z; /* atan(-,+) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1505 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1506 | return pi - (z - pi_lo); /* atan(+,-) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1507 | default: /* case 3 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1508 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1509 | } [ 4100s] | ~ [ 4100s] 1510 | } [ 4100s] | ~ [ 4100s] 1511 | [ 4100s] | [ 4100s] 1512 | /* cos(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 1513 | * Return cosine function of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1514 | * [ 4100s] | ~ [ 4100s] 1515 | * kernel function: [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1516 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1517 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1518 | * __ieee754_rem_pio2 ... argument reduction routine [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1519 | * [ 4100s] | ~ [ 4100s] 1520 | * Method. [ 4100s] | ~~~~~~~~~ [ 4100s] 1521 | * Let S,C and T denote the sin, cos and tan respectively on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1522 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1523 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1524 | * We have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1525 | * [ 4100s] | ~ [ 4100s] 1526 | * n sin(x) cos(x) tan(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1527 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1528 | * 0 S C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1529 | * 1 C -S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1530 | * 2 -S -C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1531 | * 3 -C S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1532 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1533 | * [ 4100s] | ~ [ 4100s] 1534 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1535 | * Let trig be any of sin, cos, or tan. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1536 | * trig(+-INF) is NaN, with signals; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1537 | * trig(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1538 | * [ 4100s] | ~ [ 4100s] 1539 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1540 | * TRIG(x) returns trig(x) nearly rounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1541 | */ [ 4100s] | ~~ [ 4100s] 1542 | double cos(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1543 | { [ 4100s] | ~ [ 4100s] 1544 | double y[2], z = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1545 | int32_t n, ix; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1546 | [ 4100s] | [ 4100s] 1547 | /* High word of x. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1548 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1549 | [ 4100s] | [ 4100s] 1550 | /* |x| ~< pi/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1551 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1552 | if (ix <= 0x3FE921FB) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1553 | return __kernel_cos(x, z); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1554 | } else if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1555 | /* cos(Inf or NaN) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1556 | return x - x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1557 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1558 | /* argument reduction needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1559 | n = __ieee754_rem_pio2(x, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1560 | switch (n & 3) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1561 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1562 | return __kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1563 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1564 | return -__kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1565 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1566 | return -__kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1567 | default: [ 4100s] | ~~~~~~~~ [ 4100s] 1568 | return __kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1569 | } [ 4100s] | ~ [ 4100s] 1570 | } [ 4100s] | ~ [ 4100s] 1571 | } [ 4100s] | ~ [ 4100s] 1572 | [ 4100s] | [ 4100s] 1573 | /* exp(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 1574 | * Returns the exponential of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1575 | * [ 4100s] | ~ [ 4100s] 1576 | * Method [ 4100s] | ~~~~~~~~ [ 4100s] 1577 | * 1. Argument reduction: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1578 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1579 | * Given x, find r and integer k such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1580 | * [ 4100s] | ~ [ 4100s] 1581 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1582 | * [ 4100s] | ~ [ 4100s] 1583 | * Here r will be represented as r = hi-lo for better [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1584 | * accuracy. [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1585 | * [ 4100s] | ~ [ 4100s] 1586 | * 2. Approximation of exp(r) by a special rational function on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1587 | * the interval [0,0.34658]: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1588 | * Write [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1589 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1590 | * We use a special Remes algorithm on [0,0.34658] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1591 | * a polynomial of degree 5 to approximate R. The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1592 | * of this polynomial approximation is bounded by 2**-59. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1593 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1594 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1595 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1596 | * and [ 4100s] | ~~~~~~~~~~ [ 4100s] 1597 | * | 5 | -59 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1598 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1599 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1600 | * The computation of exp(r) thus becomes [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1601 | * 2*r [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1602 | * exp(r) = 1 + ------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1603 | * R - r [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1604 | * r*R1(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1605 | * = 1 + r + ----------- (for better accuracy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1606 | * 2 - R1(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1607 | * where [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1608 | * 2 4 10 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1609 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1610 | * [ 4100s] | ~ [ 4100s] 1611 | * 3. Scale back to obtain exp(x): [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1612 | * From step 1, we have [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1613 | * exp(x) = 2^k * exp(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1614 | * [ 4100s] | ~ [ 4100s] 1615 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1616 | * exp(INF) is INF, exp(NaN) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1617 | * exp(-INF) is 0, and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1618 | * for finite argument, only exp(0)=1 is exact. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1619 | * [ 4100s] | ~ [ 4100s] 1620 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1621 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1622 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1623 | * [ 4100s] | ~ [ 4100s] 1624 | * Misc. info. [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1625 | * For IEEE double [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1626 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1627 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1628 | * [ 4100s] | ~ [ 4100s] 1629 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1630 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1631 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1632 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1633 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1634 | */ [ 4100s] | ~~ [ 4100s] 1635 | double exp(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1636 | { [ 4100s] | ~ [ 4100s] 1637 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1638 | one [ 4100s] | ~~~ [ 4100s] 1639 | = 1.0, [ 4100s] | ~~~~~~ [ 4100s] 1640 | halF[2] = { 0.5, -0.5 }, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1641 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1642 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1643 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1644 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1645 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1646 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1647 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1648 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1649 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1650 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1651 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1652 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1653 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1654 | [ 4100s] | [ 4100s] 1655 | constexpr volatile double [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1656 | huge [ 4100s] | ~~~~ [ 4100s] 1657 | = 1.0e+300, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1658 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1659 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1660 | [ 4100s] | [ 4100s] 1661 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1662 | int32_t k = 0, xsb; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1663 | uint32_t hx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1664 | [ 4100s] | [ 4100s] 1665 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1666 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1667 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1668 | [ 4100s] | [ 4100s] 1669 | /* filter out non-finite argument */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1670 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1671 | if (hx >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1672 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1673 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1674 | if (((hx & 0xFFFFF) | lx) != 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1675 | return x + x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1676 | else [ 4100s] | ~~~~ [ 4100s] 1677 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1678 | } [ 4100s] | ~ [ 4100s] 1679 | if (x > o_threshold) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1680 | return huge * huge; /* overflow */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1681 | if (x < u_threshold) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1682 | return twom1000 * twom1000; /* underflow */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1683 | } [ 4100s] | ~ [ 4100s] 1684 | [ 4100s] | [ 4100s] 1685 | /* argument reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1686 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1687 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1688 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1689 | * value of E, as the computation below would get the last bit [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1690 | * wrong. We should probably fix the algorithm instead. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1691 | */ [ 4100s] | ~~ [ 4100s] 1692 | if (x == 1.0) [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1693 | return E; [ 4100s] | ~~~~~~~~~ [ 4100s] 1694 | hi = x - ln2HI[xsb]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1695 | lo = ln2LO[xsb]; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1696 | k = 1 - xsb - xsb; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1697 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1698 | k = static_cast(invln2 * x + halF[xsb]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1699 | t = k; [ 4100s] | ~~~~~~ [ 4100s] 1700 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1701 | lo = t * ln2LO[0]; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1702 | } [ 4100s] | ~ [ 4100s] 1703 | STRICT_ASSIGN(double, x, hi - lo); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1704 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1705 | if (huge + x > one) [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1706 | return one + x; /* trigger inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1707 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1708 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 1709 | } [ 4100s] | ~ [ 4100s] 1710 | [ 4100s] | [ 4100s] 1711 | /* x is now in primary range */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1712 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1713 | if (k >= -1021) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1714 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1715 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1716 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1717 | } [ 4100s] | ~ [ 4100s] 1718 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1719 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1720 | return one - ((x * c) / (c - 2.0) - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1721 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1722 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1723 | } [ 4100s] | ~ [ 4100s] 1724 | if (k >= -1021) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1725 | if (k == 1024) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1726 | return y * 2.0 * two1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1727 | return y * twopk; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1728 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1729 | return y * twopk * twom1000; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1730 | } [ 4100s] | ~ [ 4100s] 1731 | } [ 4100s] | ~ [ 4100s] 1732 | [ 4100s] | [ 4100s] 1733 | /* [ 4100s] | ~~ [ 4100s] 1734 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1735 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1736 | * 2.For x>=0.5 [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1737 | * 1 2x x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1738 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1739 | * 2 1 - x 1 - x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1740 | * [ 4100s] | ~ [ 4100s] 1741 | * For x<0.5 [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1742 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1743 | * [ 4100s] | ~ [ 4100s] 1744 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1745 | * atanh(x) is NaN if |x| > 1 with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1746 | * atanh(NaN) is that NaN with no signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1747 | * atanh(+-1) is +-INF with signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1748 | * [ 4100s] | ~ [ 4100s] 1749 | */ [ 4100s] | ~~ [ 4100s] 1750 | double atanh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1751 | { [ 4100s] | ~ [ 4100s] 1752 | constexpr double one = 1.0, huge = 1e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1753 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1754 | [ 4100s] | [ 4100s] 1755 | double t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1756 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1757 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1758 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1759 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1760 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1761 | return (x - x) / (x - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1762 | if (ix == 0x3FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1763 | return x / zero; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1764 | if (ix < 0x3E300000 && (huge + x) > zero) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1765 | return x; /* x<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1766 | SET_HIGH_WORD(x, ix); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1767 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1768 | t = x + x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1769 | t = 0.5 * log1p(t + t * x / (one - x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1770 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1771 | t = 0.5 * log1p((x + x) / (one - x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1772 | } [ 4100s] | ~ [ 4100s] 1773 | if (hx >= 0) [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1774 | return t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1775 | else [ 4100s] | ~~~~ [ 4100s] 1776 | return -t; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1777 | } [ 4100s] | ~ [ 4100s] 1778 | [ 4100s] | [ 4100s] 1779 | /* log(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 1780 | * Return the logrithm of x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1781 | * [ 4100s] | ~ [ 4100s] 1782 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1783 | * 1. Argument Reduction: find k and f such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1784 | * x = 2^k * (1+f), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1785 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1786 | * [ 4100s] | ~ [ 4100s] 1787 | * 2. Approximation of log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1788 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1789 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1790 | * = 2s + s*R [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1791 | * We use a special Reme algorithm on [0,0.1716] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1792 | * a polynomial of degree 14 to approximate R The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1793 | * of this polynomial approximation is bounded by 2**-58.45. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1794 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1795 | * 2 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1796 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1797 | * (the values of Lg1 to Lg7 are listed in the program) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1798 | * and [ 4100s] | ~~~~~~ [ 4100s] 1799 | * | 2 14 | -58.45 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1800 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1801 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1802 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1803 | * In order to guarantee error in log below 1ulp, we compute log [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1804 | * by [ 4100s] | ~~~~~ [ 4100s] 1805 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1806 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1807 | * [ 4100s] | ~ [ 4100s] 1808 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1809 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1810 | * Here ln2 is split into two floating point number: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1811 | * ln2_hi + ln2_lo, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1812 | * where n*ln2_hi is always exact for |n| < 2000. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1813 | * [ 4100s] | ~ [ 4100s] 1814 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1815 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1816 | * log(+INF) is +INF; log(0) is -INF with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1817 | * log(NaN) is that NaN with no signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1818 | * [ 4100s] | ~ [ 4100s] 1819 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1820 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1821 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1822 | * [ 4100s] | ~ [ 4100s] 1823 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1824 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1825 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1826 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1827 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1828 | */ [ 4100s] | ~~ [ 4100s] 1829 | double log(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1830 | { [ 4100s] | ~ [ 4100s] 1831 | constexpr double /* -- */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1832 | ln2_hi [ 4100s] | ~~~~~~ [ 4100s] 1833 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1834 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1835 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1836 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1837 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1838 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1839 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1840 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1841 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1842 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1843 | [ 4100s] | [ 4100s] 1844 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1845 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1846 | [ 4100s] | [ 4100s] 1847 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1848 | int32_t k, hx, i, j; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1849 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1850 | [ 4100s] | [ 4100s] 1851 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1852 | [ 4100s] | [ 4100s] 1853 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 1854 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1855 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1856 | return -two54 / vzero; /* log(+-0)=-inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1857 | if (hx < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1858 | return (x - x) / zero; /* log(-#) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1859 | k -= 54; [ 4100s] | ~~~~~~~~ [ 4100s] 1860 | x *= two54; /* subnormal number, scale up x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1861 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1862 | } [ 4100s] | ~ [ 4100s] 1863 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1864 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1865 | k += (hx >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1866 | hx &= 0x000FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1867 | i = (hx + 0x95F64) & 0x100000; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1868 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1869 | k += (i >> 20); [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1870 | f = x - 1.0; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1871 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1872 | if (f == zero) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1873 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1874 | return zero; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1875 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1876 | dk = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1877 | return dk * ln2_hi + dk * ln2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1878 | } [ 4100s] | ~ [ 4100s] 1879 | } [ 4100s] | ~ [ 4100s] 1880 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1881 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1882 | return f - R; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1883 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1884 | dk = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1885 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1886 | } [ 4100s] | ~ [ 4100s] 1887 | } [ 4100s] | ~ [ 4100s] 1888 | s = f / (2.0 + f); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1889 | dk = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1890 | z = s * s; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1891 | i = hx - 0x6147A; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1892 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1893 | j = 0x6B851 - hx; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1894 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1895 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1896 | i |= j; [ 4100s] | ~~~~~~~ [ 4100s] 1897 | R = t2 + t1; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1898 | if (i > 0) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1899 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1900 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1901 | return f - (hfsq - s * (hfsq + R)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1902 | else [ 4100s] | ~~~~ [ 4100s] 1903 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1904 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1905 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1906 | return f - s * (f - R); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1907 | else [ 4100s] | ~~~~ [ 4100s] 1908 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1909 | } [ 4100s] | ~ [ 4100s] 1910 | } [ 4100s] | ~ [ 4100s] 1911 | [ 4100s] | [ 4100s] 1912 | /* double log1p(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1913 | * [ 4100s] | ~ [ 4100s] 1914 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1915 | * 1. Argument Reduction: find k and f such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1916 | * 1+x = 2^k * (1+f), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1917 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1918 | * [ 4100s] | ~ [ 4100s] 1919 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1920 | * may not be representable exactly. In that case, a correction [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1921 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1922 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1923 | * and add back the correction term c/u. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1924 | * (Note: when x > 2**53, one can simply return log(x)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1925 | * [ 4100s] | ~ [ 4100s] 1926 | * 2. Approximation of log1p(f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1927 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1928 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1929 | * = 2s + s*R [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1930 | * We use a special Reme algorithm on [0,0.1716] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1931 | * a polynomial of degree 14 to approximate R The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1932 | * of this polynomial approximation is bounded by 2**-58.45. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1933 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1934 | * 2 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1935 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1936 | * (the values of Lp1 to Lp7 are listed in the program) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1937 | * and [ 4100s] | ~~~~~~ [ 4100s] 1938 | * | 2 14 | -58.45 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1939 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1940 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1941 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1942 | * In order to guarantee error in log below 1ulp, we compute log [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1943 | * by [ 4100s] | ~~~~~ [ 4100s] 1944 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1945 | * [ 4100s] | ~ [ 4100s] 1946 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1947 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1948 | * Here ln2 is split into two floating point number: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1949 | * ln2_hi + ln2_lo, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1950 | * where n*ln2_hi is always exact for |n| < 2000. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1951 | * [ 4100s] | ~ [ 4100s] 1952 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1953 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1954 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1955 | * log1p(NaN) is that NaN with no signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1956 | * [ 4100s] | ~ [ 4100s] 1957 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1958 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1959 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1960 | * [ 4100s] | ~ [ 4100s] 1961 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1962 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1963 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1964 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1965 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1966 | * [ 4100s] | ~ [ 4100s] 1967 | * Note: Assuming log() return accurate answer, the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1968 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1969 | * [ 4100s] | ~ [ 4100s] 1970 | * u = 1+x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1971 | * if(u==1.0) return x ; else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1972 | * return log(u)*(x/(u-1.0)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1973 | * [ 4100s] | ~ [ 4100s] 1974 | * See HP-15C Advanced Functions Handbook, p.193. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1975 | */ [ 4100s] | ~~ [ 4100s] 1976 | double log1p(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1977 | { [ 4100s] | ~ [ 4100s] 1978 | constexpr double /* -- */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1979 | ln2_hi [ 4100s] | ~~~~~~ [ 4100s] 1980 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1981 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1982 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1983 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1984 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1985 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1986 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1987 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1988 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1989 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1990 | [ 4100s] | [ 4100s] 1991 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1992 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1993 | [ 4100s] | [ 4100s] 1994 | double hfsq, f, c, s, z, R, u; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1995 | int32_t k, hx, hu, ax; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1996 | [ 4100s] | [ 4100s] 1997 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1998 | ax = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1999 | [ 4100s] | [ 4100s] 2000 | c = 0; [ 4100s] | ~~~~~~ [ 4100s] 2001 | k = 1; [ 4100s] | ~~~~~~ [ 4100s] 2002 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2003 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2004 | if (x == -1.0) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2005 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2006 | else [ 4100s] | ~~~~ [ 4100s] 2007 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2008 | } [ 4100s] | ~ [ 4100s] 2009 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2010 | if (two54 + x > zero /* raise inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2011 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2012 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 2013 | else [ 4100s] | ~~~~ [ 4100s] 2014 | return x - x * x * 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2015 | } [ 4100s] | ~ [ 4100s] 2016 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2017 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2018 | f = x; [ 4100s] | ~~~~~~ [ 4100s] 2019 | hu = 1; [ 4100s] | ~~~~~~~ [ 4100s] 2020 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2021 | } [ 4100s] | ~ [ 4100s] 2022 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2023 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2024 | if (k != 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2025 | if (hx < 0x43400000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2026 | STRICT_ASSIGN(double, u, 1.0 + x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2027 | GET_HIGH_WORD(hu, u); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2028 | k = (hu >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2029 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2030 | c /= u; [ 4100s] | ~~~~~~~ [ 4100s] 2031 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2032 | u = x; [ 4100s] | ~~~~~~ [ 4100s] 2033 | GET_HIGH_WORD(hu, u); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2034 | k = (hu >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2035 | c = 0; [ 4100s] | ~~~~~~ [ 4100s] 2036 | } [ 4100s] | ~ [ 4100s] 2037 | hu &= 0x000FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2038 | /* [ 4100s] | ~~ [ 4100s] 2039 | * The approximation to sqrt(2) used in thresholds is not [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2040 | * critical. However, the ones used above must give less [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2041 | * strict bounds than the one here so that the k==0 case is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2042 | * never reached from here, since here we have committed to [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2043 | * using the correction term but don't use it if k==0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2044 | */ [ 4100s] | ~~ [ 4100s] 2045 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2046 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2047 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2048 | k += 1; [ 4100s] | ~~~~~~~ [ 4100s] 2049 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2050 | hu = (0x00100000 - hu) >> 2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2051 | } [ 4100s] | ~ [ 4100s] 2052 | f = u - 1.0; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2053 | } [ 4100s] | ~ [ 4100s] 2054 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2055 | if (hu == 0) { /* |f| < 2**-20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2056 | if (f == zero) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2057 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2058 | return zero; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2059 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2060 | c += k * ln2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2061 | return k * ln2_hi + c; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2062 | } [ 4100s] | ~ [ 4100s] 2063 | } [ 4100s] | ~ [ 4100s] 2064 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2065 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2066 | return f - R; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2067 | else [ 4100s] | ~~~~ [ 4100s] 2068 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2069 | } [ 4100s] | ~ [ 4100s] 2070 | s = f / (2.0 + f); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2071 | z = s * s; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2072 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2073 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2074 | return f - (hfsq - s * (hfsq + R)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2075 | else [ 4100s] | ~~~~ [ 4100s] 2076 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2077 | } [ 4100s] | ~ [ 4100s] 2078 | [ 4100s] | [ 4100s] 2079 | /* [ 4100s] | ~~ [ 4100s] 2080 | * k_log1p(f): [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2081 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2082 | * [ 4100s] | ~ [ 4100s] 2083 | * The following describes the overall strategy for computing [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2084 | * logarithms in base e. The argument reduction and adding the final [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2085 | * term of the polynomial are done by the caller for increased accuracy [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2086 | * when different bases are used. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2087 | * [ 4100s] | ~ [ 4100s] 2088 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2089 | * 1. Argument Reduction: find k and f such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2090 | * x = 2^k * (1+f), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2091 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2092 | * [ 4100s] | ~ [ 4100s] 2093 | * 2. Approximation of log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2094 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2095 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2096 | * = 2s + s*R [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2097 | * We use a special Reme algorithm on [0,0.1716] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2098 | * a polynomial of degree 14 to approximate R The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2099 | * of this polynomial approximation is bounded by 2**-58.45. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2100 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2101 | * 2 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2102 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2103 | * (the values of Lg1 to Lg7 are listed in the program) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2104 | * and [ 4100s] | ~~~~~~~~~~ [ 4100s] 2105 | * | 2 14 | -58.45 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2106 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2107 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2108 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2109 | * In order to guarantee error in log below 1ulp, we compute log [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2110 | * by [ 4100s] | ~~~~~~~~~ [ 4100s] 2111 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2112 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2113 | * [ 4100s] | ~ [ 4100s] 2114 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2115 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2116 | * Here ln2 is split into two floating point number: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2117 | * ln2_hi + ln2_lo, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2118 | * where n*ln2_hi is always exact for |n| < 2000. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2119 | * [ 4100s] | ~ [ 4100s] 2120 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2121 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2122 | * log(+INF) is +INF; log(0) is -INF with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2123 | * log(NaN) is that NaN with no signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2124 | * [ 4100s] | ~ [ 4100s] 2125 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2126 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2127 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2128 | * [ 4100s] | ~ [ 4100s] 2129 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2130 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2131 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2132 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2133 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2134 | */ [ 4100s] | ~~ [ 4100s] 2135 | [ 4100s] | [ 4100s] 2136 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2137 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2138 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2139 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2140 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2141 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2142 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2143 | [ 4100s] | [ 4100s] 2144 | /* [ 4100s] | ~~ [ 4100s] 2145 | * We always inline k_log1p(), since doing so produces a [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2146 | * substantial performance improvement (~40% on amd64). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2147 | */ [ 4100s] | ~~ [ 4100s] 2148 | static inline double k_log1p(double f) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2149 | { [ 4100s] | ~ [ 4100s] 2150 | double hfsq, s, z, R, w, t1, t2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2151 | [ 4100s] | [ 4100s] 2152 | s = f / (2.0 + f); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2153 | z = s * s; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2154 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2155 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2156 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2157 | R = t2 + t1; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2158 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2159 | return s * (hfsq + R); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2160 | } [ 4100s] | ~ [ 4100s] 2161 | [ 4100s] | [ 4100s] 2162 | /* [ 4100s] | ~~ [ 4100s] 2163 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2164 | * comments. [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2165 | * [ 4100s] | ~ [ 4100s] 2166 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2167 | * then does the combining and scaling steps [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2168 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2169 | * in not-quite-routine extra precision. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2170 | */ [ 4100s] | ~~ [ 4100s] 2171 | double log2(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2172 | { [ 4100s] | ~ [ 4100s] 2173 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2174 | two54 [ 4100s] | ~~~~~ [ 4100s] 2175 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2176 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2177 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2178 | [ 4100s] | [ 4100s] 2179 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2180 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2181 | [ 4100s] | [ 4100s] 2182 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2183 | int32_t i, k, hx; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2184 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2185 | [ 4100s] | [ 4100s] 2186 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2187 | [ 4100s] | [ 4100s] 2188 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2189 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2190 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2191 | return -two54 / vzero; /* log(+-0)=-inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2192 | if (hx < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2193 | return (x - x) / zero; /* log(-#) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2194 | k -= 54; [ 4100s] | ~~~~~~~~ [ 4100s] 2195 | x *= two54; /* subnormal number, scale up x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2196 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2197 | } [ 4100s] | ~ [ 4100s] 2198 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2199 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2200 | if (hx == 0x3FF00000 && lx == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2201 | return zero; /* log(1) = +0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2202 | k += (hx >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2203 | hx &= 0x000FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2204 | i = (hx + 0x95F64) & 0x100000; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2205 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2206 | k += (i >> 20); [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2207 | y = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2208 | f = x - 1.0; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2209 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2210 | r = k_log1p(f); [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2211 | [ 4100s] | [ 4100s] 2212 | /* [ 4100s] | ~~ [ 4100s] 2213 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2214 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2215 | * This is fairly efficient since f-hfsq only depends on f, so can [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2216 | * be evaluated in parallel with R. Not combining hfsq with R also [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2217 | * keeps R small (though not as small as a true `lo' term would be), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2218 | * so that extra precision is not needed for terms involving R. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2219 | * [ 4100s] | ~ [ 4100s] 2220 | * Compiler bugs involving extra precision used to break Dekker's [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2221 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2222 | * or the multi-precision calculations were avoided when double_t [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2223 | * has extra precision. These problems are now automatically [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2224 | * avoided as a side effect of the optimization of combining the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2225 | * Dekker splitting step with the clear-low-bits step. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2226 | * [ 4100s] | ~ [ 4100s] 2227 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2228 | * precision to avoid a very large cancellation when x is very near [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2229 | * these values. Unlike the above cancellations, this problem is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2230 | * specific to base 2. It is strange that adding +-1 is so much [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2231 | * harder than adding +-ln2 or +-log10_2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2232 | * [ 4100s] | ~ [ 4100s] 2233 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2234 | * compiler bugs are back in some configurations, sigh. And I [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2235 | * don't want to used double_t to avoid them, since that gives a [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2236 | * pessimization and the support for avoiding the pessimization [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2237 | * is not yet available. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2238 | * [ 4100s] | ~ [ 4100s] 2239 | * The multi-precision calculations for the multiplications are [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2240 | * routine. [ 4100s] | ~~~~~~~~~~ [ 4100s] 2241 | */ [ 4100s] | ~~ [ 4100s] 2242 | hi = f - hfsq; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2243 | SET_LOW_WORD(hi, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2244 | lo = (f - hi) - hfsq + r; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2245 | val_hi = hi * ivln2hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2246 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2247 | [ 4100s] | [ 4100s] 2248 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2249 | w = y + val_hi; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2250 | val_lo += (y - w) + val_hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2251 | val_hi = w; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2252 | [ 4100s] | [ 4100s] 2253 | return val_lo + val_hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2254 | } [ 4100s] | ~ [ 4100s] 2255 | [ 4100s] | [ 4100s] 2256 | /* [ 4100s] | ~~ [ 4100s] 2257 | * Return the base 10 logarithm of x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2258 | * [ 4100s] | ~ [ 4100s] 2259 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2260 | * Let log10_2hi = leading 40 bits of log10(2) and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2261 | * log10_2lo = log10(2) - log10_2hi, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2262 | * ivln10 = 1/log(10) rounded. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2263 | * Then [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2264 | * n = ilogb(x), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2265 | * if(n<0) n = n+1; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2266 | * x = scalbn(x,-n); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2267 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2268 | * [ 4100s] | ~ [ 4100s] 2269 | * Note 1: [ 4100s] | ~~~~~~~~~~ [ 4100s] 2270 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2271 | * mode must set to Round-to-Nearest. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2272 | * Note 2: [ 4100s] | ~~~~~~~~~~ [ 4100s] 2273 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2274 | * log10 is monotonic at all binary break points. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2275 | * [ 4100s] | ~ [ 4100s] 2276 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2277 | * log10(x) is NaN if x < 0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2278 | * log10(+INF) is +INF; log10(0) is -INF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2279 | * log10(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2280 | * log10(10**N) = N for N=0,1,...,22. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2281 | */ [ 4100s] | ~~ [ 4100s] 2282 | double log10(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2283 | { [ 4100s] | ~ [ 4100s] 2284 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2285 | two54 [ 4100s] | ~~~~~ [ 4100s] 2286 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2287 | ivln10 = 4.34294481903251816668e-01, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2288 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2289 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2290 | [ 4100s] | [ 4100s] 2291 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2292 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2293 | [ 4100s] | [ 4100s] 2294 | double y; [ 4100s] | ~~~~~~~~~ [ 4100s] 2295 | int32_t i, k, hx; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2296 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2297 | [ 4100s] | [ 4100s] 2298 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2299 | [ 4100s] | [ 4100s] 2300 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2301 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2302 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2303 | return -two54 / vzero; /* log(+-0)=-inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2304 | if (hx < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2305 | return (x - x) / zero; /* log(-#) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2306 | k -= 54; [ 4100s] | ~~~~~~~~ [ 4100s] 2307 | x *= two54; /* subnormal number, scale up x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2308 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2309 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2310 | } [ 4100s] | ~ [ 4100s] 2311 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2312 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2313 | if (hx == 0x3FF00000 && lx == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2314 | return zero; /* log(1) = +0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2315 | k += (hx >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2316 | [ 4100s] | [ 4100s] 2317 | i = (k & 0x80000000) >> 31; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2318 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2319 | y = k + i; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2320 | SET_HIGH_WORD(x, hx); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2321 | SET_LOW_WORD(x, lx); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2322 | [ 4100s] | [ 4100s] 2323 | double z = y * log10_2lo + ivln10 * log(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2324 | return z + y * log10_2hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2325 | } [ 4100s] | ~ [ 4100s] 2326 | [ 4100s] | [ 4100s] 2327 | /* expm1(x) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2328 | * Returns exp(x)-1, the exponential of x minus 1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2329 | * [ 4100s] | ~ [ 4100s] 2330 | * Method [ 4100s] | ~~~~~~~~ [ 4100s] 2331 | * 1. Argument reduction: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2332 | * Given x, find r and integer k such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2333 | * [ 4100s] | ~ [ 4100s] 2334 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2335 | * [ 4100s] | ~ [ 4100s] 2336 | * Here a correction term c will be computed to compensate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2337 | * the error in r when rounded to a floating-point number. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2338 | * [ 4100s] | ~ [ 4100s] 2339 | * 2. Approximating expm1(r) by a special rational function on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2340 | * the interval [0,0.34658]: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2341 | * Since [ 4100s] | ~~~~~~~~ [ 4100s] 2342 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2343 | * we define R1(r*r) by [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2344 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2345 | * That is, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2346 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2347 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2348 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2349 | * We use a special Reme algorithm on [0,0.347] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2350 | * a polynomial of degree 5 in r*r to approximate R1. The [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2351 | * maximum error of this polynomial approximation is bounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2352 | * by 2**-61. In other words, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2353 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2354 | * where Q1 = -1.6666666666666567384E-2, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2355 | * Q2 = 3.9682539681370365873E-4, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2356 | * Q3 = -9.9206344733435987357E-6, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2357 | * Q4 = 2.5051361420808517002E-7, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2358 | * Q5 = -6.2843505682382617102E-9; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2359 | * z = r*r, [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2360 | * with error bounded by [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2361 | * | 5 | -61 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2362 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2363 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2364 | * [ 4100s] | ~ [ 4100s] 2365 | * expm1(r) = exp(r)-1 is then computed by the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2366 | * specific way which minimize the accumulation rounding error: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2367 | * 2 3 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2368 | * r r [ 3 - (R1 + R1*r/2) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2369 | * expm1(r) = r + --- + --- * [--------------------] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2370 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2371 | * [ 4100s] | ~ [ 4100s] 2372 | * To compensate the error in the argument reduction, we use [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2373 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2374 | * ~ expm1(r) + c + r*c [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2375 | * Thus c+r*c will be added in as the correction terms for [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2376 | * expm1(r+c). Now rearrange the term to avoid optimization [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2377 | * screw up: [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2378 | * ( 2 2 ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2379 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2380 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2381 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2382 | * ( ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2383 | * [ 4100s] | ~ [ 4100s] 2384 | * = r - E [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2385 | * 3. Scale back to obtain expm1(x): [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2386 | * From step 1, we have [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2387 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2388 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2389 | * 4. Implementation notes: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2390 | * (A). To save one multiplication, we scale the coefficient Qi [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2391 | * to Qi*2^i, and replace z by (x^2)/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2392 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2393 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2394 | * (ii) if k=0, return r-E [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2395 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2396 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2397 | * else return 1.0+2.0*(r-E); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2398 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2399 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2400 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2401 | * [ 4100s] | ~ [ 4100s] 2402 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2403 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2404 | * expm1(-INF) is -1, and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2405 | * for finite argument, only expm1(0)=0 is exact. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2406 | * [ 4100s] | ~ [ 4100s] 2407 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2408 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2409 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2410 | * [ 4100s] | ~ [ 4100s] 2411 | * Misc. info. [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2412 | * For IEEE double [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2413 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2414 | * [ 4100s] | ~ [ 4100s] 2415 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2416 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2417 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2418 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2419 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2420 | */ [ 4100s] | ~~ [ 4100s] 2421 | double expm1(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2422 | { [ 4100s] | ~ [ 4100s] 2423 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2424 | one [ 4100s] | ~~~ [ 4100s] 2425 | = 1.0, [ 4100s] | ~~~~~~ [ 4100s] 2426 | tiny = 1.0e-300, [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2427 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2428 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2429 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2430 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2431 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2432 | x*x/2: */ [ 4100s] | ~~~~~~~~~ [ 4100s] 2433 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2434 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2435 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2436 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2437 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2438 | [ 4100s] | [ 4100s] 2439 | constexpr volatile double huge = 1.0e+300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2440 | [ 4100s] | [ 4100s] 2441 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2442 | int32_t k, xsb; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2443 | uint32_t hx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2444 | [ 4100s] | [ 4100s] 2445 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2446 | xsb = hx & 0x80000000; /* sign bit of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2447 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2448 | [ 4100s] | [ 4100s] 2449 | /* filter out huge and non-finite argument */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2450 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2451 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2452 | if (hx >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2453 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2454 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2455 | if (((hx & 0xFFFFF) | low) != 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2456 | return x + x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2457 | else [ 4100s] | ~~~~ [ 4100s] 2458 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2459 | } [ 4100s] | ~ [ 4100s] 2460 | if (x > o_threshold) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2461 | return huge * huge; /* overflow */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2462 | } [ 4100s] | ~ [ 4100s] 2463 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2464 | /* raise inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2465 | return tiny - one; /* return -1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2466 | } [ 4100s] | ~ [ 4100s] 2467 | } [ 4100s] | ~ [ 4100s] 2468 | [ 4100s] | [ 4100s] 2469 | /* argument reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2470 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2471 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2472 | if (xsb == 0) { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2473 | hi = x - ln2_hi; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2474 | lo = ln2_lo; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2475 | k = 1; [ 4100s] | ~~~~~~ [ 4100s] 2476 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2477 | hi = x + ln2_hi; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2478 | lo = -ln2_lo; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2479 | k = -1; [ 4100s] | ~~~~~~~ [ 4100s] 2480 | } [ 4100s] | ~ [ 4100s] 2481 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2482 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2483 | t = k; [ 4100s] | ~~~~~~ [ 4100s] 2484 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2485 | lo = t * ln2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2486 | } [ 4100s] | ~ [ 4100s] 2487 | STRICT_ASSIGN(double, x, hi - lo); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2488 | c = (hi - x) - lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2489 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2490 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2491 | return x - (t - (huge + x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2492 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2493 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2494 | } [ 4100s] | ~ [ 4100s] 2495 | [ 4100s] | [ 4100s] 2496 | /* x is now in primary range */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2497 | hfx = 0.5 * x; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2498 | hxs = x * hfx; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2499 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2500 | t = 3.0 - r1 * hfx; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2501 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2502 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2503 | return x - (x * e - hxs); /* c is 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2504 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2505 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2506 | e = (x * (e - c) - c); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2507 | e -= hxs; [ 4100s] | ~~~~~~~~~ [ 4100s] 2508 | if (k == -1) [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2509 | return 0.5 * (x - e) - 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2510 | if (k == 1) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2511 | if (x < -0.25) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2512 | return -2.0 * (e - (x + 0.5)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2513 | else [ 4100s] | ~~~~ [ 4100s] 2514 | return one + 2.0 * (x - e); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2515 | } [ 4100s] | ~ [ 4100s] 2516 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2517 | y = one - (e - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2518 | // TODO(mvstanton): is this replacement for the hex float [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2519 | // sufficient? [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2520 | // if (k == 1024) y = y*2.0*0x1p1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2521 | if (k == 1024) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2522 | y = y * 2.0 * 8.98846567431158e+307; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2523 | else [ 4100s] | ~~~~ [ 4100s] 2524 | y = y * twopk; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2525 | return y - one; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2526 | } [ 4100s] | ~ [ 4100s] 2527 | t = one; [ 4100s] | ~~~~~~~~ [ 4100s] 2528 | if (k < 20) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2529 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2530 | y = t - (e - x); [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2531 | y = y * twopk; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2532 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2533 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2534 | y = x - (e + t); [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2535 | y += one; [ 4100s] | ~~~~~~~~~ [ 4100s] 2536 | y = y * twopk; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2537 | } [ 4100s] | ~ [ 4100s] 2538 | } [ 4100s] | ~ [ 4100s] 2539 | return y; [ 4100s] | ~~~~~~~~~ [ 4100s] 2540 | } [ 4100s] | ~ [ 4100s] 2541 | [ 4100s] | [ 4100s] 2542 | double cbrt(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2543 | { [ 4100s] | ~ [ 4100s] 2544 | constexpr uint32_t [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2545 | B1 [ 4100s] | ~~ [ 4100s] 2546 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2547 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2548 | [ 4100s] | [ 4100s] 2549 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2550 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2551 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2552 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2553 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2554 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2555 | [ 4100s] | [ 4100s] 2556 | int32_t hx; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2557 | union { [ 4100s] | ~~~~~~~ [ 4100s] 2558 | double value; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2559 | uint64_t bits; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2560 | } u; [ 4100s] | ~~~~ [ 4100s] 2561 | double r, s, t = 0.0, w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2562 | uint32_t sign; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2563 | uint32_t high, low; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2564 | [ 4100s] | [ 4100s] 2565 | EXTRACT_WORDS(hx, low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2566 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2567 | hx ^= sign; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2568 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2569 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2570 | [ 4100s] | [ 4100s] 2571 | /* [ 4100s] | ~~ [ 4100s] 2572 | * Rough cbrt to 5 bits: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2573 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2574 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2575 | * "%" are integer division and modulus with rounding towards minus [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2576 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2577 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2578 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2579 | * floating point representation, for finite positive normal values, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2580 | * ordinary integer division of the value in bits magically gives [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2581 | * almost exactly the RHS of the above provided we first subtract the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2582 | * exponent bias (1023 for doubles) and later add it back. We do the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2583 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2584 | * division rounds towards minus infinity; this is also efficient. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2585 | */ [ 4100s] | ~~ [ 4100s] 2586 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2587 | if ((hx | low) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2588 | return (x); /* cbrt(0) is itself */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2589 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2590 | t *= x; [ 4100s] | ~~~~~~~ [ 4100s] 2591 | GET_HIGH_WORD(high, t); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2592 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2593 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2594 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2595 | } [ 4100s] | ~ [ 4100s] 2596 | [ 4100s] | [ 4100s] 2597 | /* [ 4100s] | ~~ [ 4100s] 2598 | * New cbrt to 23 bits: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2599 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2600 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2601 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2602 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2603 | * gives us bounds for r = t**3/x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2604 | * [ 4100s] | ~ [ 4100s] 2605 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2606 | */ [ 4100s] | ~~ [ 4100s] 2607 | r = (t * t) * (t / x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2608 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2609 | [ 4100s] | [ 4100s] 2610 | /* [ 4100s] | ~~ [ 4100s] 2611 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2612 | * the result is larger in magnitude than cbrt(x) but not much more than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2613 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2614 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2615 | * in the rounded t, the infinite-precision error in the Newton [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2616 | * approximation barely affects third digit in the final error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2617 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2618 | * before the final error is larger than 0.667 ulps. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2619 | */ [ 4100s] | ~~ [ 4100s] 2620 | u.value = t; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2621 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2622 | t = u.value; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2623 | [ 4100s] | [ 4100s] 2624 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2625 | s = t * t; /* t*t is exact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2626 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2627 | w = t + t; /* t+t is exact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2628 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2629 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2630 | [ 4100s] | [ 4100s] 2631 | return (t); [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2632 | } [ 4100s] | ~ [ 4100s] 2633 | [ 4100s] | [ 4100s] 2634 | /* sin(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 2635 | * Return sine function of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2636 | * [ 4100s] | ~ [ 4100s] 2637 | * kernel function: [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2638 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2639 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2640 | * __ieee754_rem_pio2 ... argument reduction routine [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2641 | * [ 4100s] | ~ [ 4100s] 2642 | * Method. [ 4100s] | ~~~~~~~~~ [ 4100s] 2643 | * Let S,C and T denote the sin, cos and tan respectively on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2644 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2645 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2646 | * We have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2647 | * [ 4100s] | ~ [ 4100s] 2648 | * n sin(x) cos(x) tan(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2649 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2650 | * 0 S C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2651 | * 1 C -S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2652 | * 2 -S -C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2653 | * 3 -C S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2654 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2655 | * [ 4100s] | ~ [ 4100s] 2656 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2657 | * Let trig be any of sin, cos, or tan. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2658 | * trig(+-INF) is NaN, with signals; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2659 | * trig(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2660 | * [ 4100s] | ~ [ 4100s] 2661 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2662 | * TRIG(x) returns trig(x) nearly rounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2663 | */ [ 4100s] | ~~ [ 4100s] 2664 | double sin(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2665 | { [ 4100s] | ~ [ 4100s] 2666 | double y[2], z = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2667 | int32_t n, ix; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2668 | [ 4100s] | [ 4100s] 2669 | /* High word of x. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2670 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2671 | [ 4100s] | [ 4100s] 2672 | /* |x| ~< pi/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2673 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2674 | if (ix <= 0x3FE921FB) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2675 | return __kernel_sin(x, z, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2676 | } else if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2677 | /* sin(Inf or NaN) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2678 | return x - x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2679 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2680 | /* argument reduction needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2681 | n = __ieee754_rem_pio2(x, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2682 | switch (n & 3) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2683 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 2684 | return __kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2685 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 2686 | return __kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2687 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 2688 | return -__kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2689 | default: [ 4100s] | ~~~~~~~~ [ 4100s] 2690 | return -__kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2691 | } [ 4100s] | ~ [ 4100s] 2692 | } [ 4100s] | ~ [ 4100s] 2693 | } [ 4100s] | ~ [ 4100s] 2694 | [ 4100s] | [ 4100s] 2695 | /* tan(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 2696 | * Return tangent function of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2697 | * [ 4100s] | ~ [ 4100s] 2698 | * kernel function: [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2699 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2700 | * __ieee754_rem_pio2 ... argument reduction routine [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2701 | * [ 4100s] | ~ [ 4100s] 2702 | * Method. [ 4100s] | ~~~~~~~~~ [ 4100s] 2703 | * Let S,C and T denote the sin, cos and tan respectively on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2704 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2705 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2706 | * We have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2707 | * [ 4100s] | ~ [ 4100s] 2708 | * n sin(x) cos(x) tan(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2709 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2710 | * 0 S C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2711 | * 1 C -S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2712 | * 2 -S -C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2713 | * 3 -C S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2714 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2715 | * [ 4100s] | ~ [ 4100s] 2716 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2717 | * Let trig be any of sin, cos, or tan. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2718 | * trig(+-INF) is NaN, with signals; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2719 | * trig(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2720 | * [ 4100s] | ~ [ 4100s] 2721 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2722 | * TRIG(x) returns trig(x) nearly rounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2723 | */ [ 4100s] | ~~ [ 4100s] 2724 | double tan(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2725 | { [ 4100s] | ~ [ 4100s] 2726 | double y[2], z = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2727 | int32_t n, ix; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2728 | [ 4100s] | [ 4100s] 2729 | /* High word of x. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2730 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2731 | [ 4100s] | [ 4100s] 2732 | /* |x| ~< pi/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2733 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2734 | if (ix <= 0x3FE921FB) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2735 | return __kernel_tan(x, z, 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2736 | } else if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2737 | /* tan(Inf or NaN) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2738 | return x - x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2739 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2740 | /* argument reduction needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2741 | n = __ieee754_rem_pio2(x, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2742 | /* 1 -> n even, -1 -> n odd */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2743 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2744 | } [ 4100s] | ~ [ 4100s] 2745 | } [ 4100s] | ~ [ 4100s] 2746 | [ 4100s] | [ 4100s] 2747 | /* [ 4100s] | ~~ [ 4100s] 2748 | * ES6 draft 09-27-13, section 20.2.2.12. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2749 | * Math.cosh [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2750 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2751 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2752 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2753 | * 2. [ 4100s] | ~~~~~~~~~ [ 4100s] 2754 | * [ exp(x) - 1 ]^2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2755 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2756 | * 2*exp(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2757 | * [ 4100s] | ~ [ 4100s] 2758 | * exp(x) + 1/exp(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2759 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2760 | * 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2761 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2762 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2763 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2764 | * [ 4100s] | ~ [ 4100s] 2765 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2766 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2767 | * only cosh(0)=1 is exact for finite x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2768 | */ [ 4100s] | ~~ [ 4100s] 2769 | double cosh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2770 | { [ 4100s] | ~ [ 4100s] 2771 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2772 | constexpr double one = 1.0, half = 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2773 | constexpr volatile double huge = 1.0e+300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2774 | [ 4100s] | [ 4100s] 2775 | int32_t ix; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2776 | [ 4100s] | [ 4100s] 2777 | /* High word of |x|. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2778 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2779 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2780 | [ 4100s] | [ 4100s] 2781 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2782 | if (ix < 0x3FD62E43) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2783 | double t = expm1(fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2784 | double w = one + t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2785 | // For |x| < 2^-55, cosh(x) = 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2786 | if (ix < 0x3C800000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2787 | return w; [ 4100s] | ~~~~~~~~~ [ 4100s] 2788 | return one + (t * t) / (w + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2789 | } [ 4100s] | ~ [ 4100s] 2790 | [ 4100s] | [ 4100s] 2791 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2792 | if (ix < 0x40360000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2793 | double t = exp(fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2794 | return half * t + half / t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2795 | } [ 4100s] | ~ [ 4100s] 2796 | [ 4100s] | [ 4100s] 2797 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2798 | if (ix < 0x40862E42) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2799 | return half * exp(fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2800 | [ 4100s] | [ 4100s] 2801 | // |x| in [log(maxdouble), overflowthreshold] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2802 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2803 | double w = exp(half * fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2804 | double t = half * w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2805 | return t * w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2806 | } [ 4100s] | ~ [ 4100s] 2807 | [ 4100s] | [ 4100s] 2808 | /* x is INF or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2809 | if (ix >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2810 | return x * x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2811 | [ 4100s] | [ 4100s] 2812 | // |x| > overflowthreshold. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2813 | return huge * huge; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2814 | } [ 4100s] | ~ [ 4100s] 2815 | [ 4100s] | [ 4100s] 2816 | /* [ 4100s] | ~~ [ 4100s] 2817 | * ES6 draft 09-27-13, section 20.2.2.30. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2818 | * Math.sinh [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2819 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2820 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2821 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2822 | * 2. [ 4100s] | ~~~~~~~~~ [ 4100s] 2823 | * E + E/(E+1) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2824 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2825 | * 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2826 | * [ 4100s] | ~ [ 4100s] 2827 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2828 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2829 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2830 | * [ 4100s] | ~ [ 4100s] 2831 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2832 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2833 | * only sinh(0)=0 is exact for finite x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2834 | */ [ 4100s] | ~~ [ 4100s] 2835 | double sinh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2836 | { [ 4100s] | ~ [ 4100s] 2837 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2838 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2839 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2840 | constexpr double shuge = 1.0e307; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2841 | [ 4100s] | [ 4100s] 2842 | double h = (x < 0) ? -0.5 : 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2843 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2844 | double ax = fabs(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2845 | if (ax < 22) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2846 | // For |x| < 2^-28, sinh(x) = x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2847 | if (ax < TWO_M28) [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2848 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 2849 | double t = expm1(ax); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2850 | if (ax < 1) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2851 | return h * (2 * t - t * t / (t + 1)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2852 | } [ 4100s] | ~ [ 4100s] 2853 | return h * (t + t / (t + 1)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2854 | } [ 4100s] | ~ [ 4100s] 2855 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2856 | if (ax < LOG_MAXD) [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2857 | return h * exp(ax); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2858 | // |x| in [log(maxdouble), overflowthreshold] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2859 | // overflowthreshold = 710.4758600739426 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2860 | if (ax <= KSINH_OVERFLOW) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2861 | double w = exp(0.5 * ax); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2862 | double t = h * w; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2863 | return t * w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2864 | } [ 4100s] | ~ [ 4100s] 2865 | // |x| > overflowthreshold or is NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2866 | // Return Infinity of the appropriate sign or NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2867 | return x * shuge; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2868 | } [ 4100s] | ~ [ 4100s] 2869 | [ 4100s] | [ 4100s] 2870 | /* Tanh(x) [ 4100s] | ~~~~~~~~~~ [ 4100s] 2871 | * Return the Hyperbolic Tangent of x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2872 | * [ 4100s] | ~ [ 4100s] 2873 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2874 | * x -x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2875 | * e - e [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2876 | * 0. tanh(x) is defined to be ----------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2877 | * x -x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2878 | * e + e [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2879 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2880 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2881 | * -t [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2882 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2883 | * t + 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2884 | * 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2885 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2886 | * t + 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2887 | * 22 <= x <= INF : tanh(x) := 1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2888 | * [ 4100s] | ~ [ 4100s] 2889 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2890 | * tanh(NaN) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2891 | * only tanh(0)=0 is exact for finite argument. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2892 | */ [ 4100s] | ~~ [ 4100s] 2893 | double tanh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2894 | { [ 4100s] | ~ [ 4100s] 2895 | constexpr volatile double tiny = 1.0e-300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2896 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2897 | double t, z; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2898 | int32_t jx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2899 | [ 4100s] | [ 4100s] 2900 | GET_HIGH_WORD(jx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2901 | ix = jx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2902 | [ 4100s] | [ 4100s] 2903 | /* x is INF or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2904 | if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2905 | if (jx >= 0) [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2906 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2907 | else [ 4100s] | ~~~~ [ 4100s] 2908 | return one / x - one; /* tanh(NaN) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2909 | } [ 4100s] | ~ [ 4100s] 2910 | [ 4100s] | [ 4100s] 2911 | /* |x| < 22 */ [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2912 | if (ix < 0x40360000) { /* |x|<22 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2913 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2914 | return x; /* tanh(tiny) = tiny with inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2915 | } [ 4100s] | ~ [ 4100s] 2916 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2917 | t = expm1(two * fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2918 | z = one - two / (t + two); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2919 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2920 | t = expm1(-two * fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2921 | z = -t / (t + two); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2922 | } [ 4100s] | ~ [ 4100s] 2923 | /* |x| >= 22, return +-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2924 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2925 | z = one - tiny; /* raise inexact flag */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2926 | } [ 4100s] | ~ [ 4100s] 2927 | return (jx >= 0) ? z : -z; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2928 | } [ 4100s] | ~ [ 4100s] 2929 | [ 4100s] | [ 4100s] 2930 | double ceil(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2931 | { [ 4100s] | ~ [ 4100s] 2932 | constexpr double huge = 1.0e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2933 | int i0, i1, j0; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2934 | unsigned i, j; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2935 | i0 = __HI(x); [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2936 | i1 = __LO(x); [ 4100s] | ~~~~~~~~~~~ [ 4100s] third_party/escargot/src/runtime/IEEE754.cpp:2936:10: note: in expansion of macro '__LO' [ 4100s] 2936 | i1 = __LO(x); [ 4100s] | ^~~~ [ 4100s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 4100s] 86 | #define __LO(x) *(int *)&x [ 4100s] | ^~~~~~~~~ [ 4100s] 87 | #define __HIp(x) *(1 + (int *)x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 88 | #define __LOp(x) *(int *)x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 89 | [ 4100s] | [ 4100s] 90 | #else [ 4100s] | ~~~~~ [ 4100s] 91 | [ 4100s] | [ 4100s] 92 | typedef union { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 93 | double value; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 94 | struct { [ 4100s] | ~~~~~~~~ [ 4100s] 95 | uint32_t msw; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 96 | uint32_t lsw; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 97 | } parts; [ 4100s] | ~~~~~~~~ [ 4100s] 98 | struct { [ 4100s] | ~~~~~~~~ [ 4100s] 99 | uint64_t w; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 100 | } xparts; [ 4100s] | ~~~~~~~~~ [ 4100s] 101 | } ieee_double_shape_type; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 102 | [ 4100s] | [ 4100s] 103 | #define __HI(x) *(int *)&x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 104 | #define __LO(x) *(1 + (int *)&x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 105 | #define __HIp(x) *(int *)x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 106 | #define __LOp(x) *(1 + (int *)x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 107 | [ 4100s] | [ 4100s] 108 | #endif [ 4100s] | ~~~~~~ [ 4100s] 109 | [ 4100s] | [ 4100s] 110 | /* Get two 32 bit ints from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 111 | [ 4100s] | [ 4100s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 113 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 114 | ieee_double_shape_type ew_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 115 | ew_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 116 | (ix0) = ew_u.parts.msw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 117 | (ix1) = ew_u.parts.lsw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 118 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 119 | [ 4100s] | [ 4100s] 120 | /* Get a 64-bit int from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 122 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 123 | ieee_double_shape_type ew_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 124 | ew_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 125 | (ix) = ew_u.xparts.w; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 126 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 127 | [ 4100s] | [ 4100s] 128 | /* Get the more significant 32 bit int from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 129 | [ 4100s] | [ 4100s] 130 | #define GET_HIGH_WORD(i, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 131 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 132 | ieee_double_shape_type gh_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 133 | gh_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 134 | (i) = gh_u.parts.msw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 135 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 136 | [ 4100s] | [ 4100s] 137 | /* Get the less significant 32 bit int from a double. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 138 | [ 4100s] | [ 4100s] 139 | #define GET_LOW_WORD(i, d) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 140 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 141 | ieee_double_shape_type gl_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 142 | gl_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 143 | (i) = gl_u.parts.lsw; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 144 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 145 | [ 4100s] | [ 4100s] 146 | /* Set a double from two 32 bit ints. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 147 | [ 4100s] | [ 4100s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 149 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 150 | ieee_double_shape_type iw_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 151 | iw_u.parts.msw = (ix0); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 152 | iw_u.parts.lsw = (ix1); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 153 | (d) = iw_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 154 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 155 | [ 4100s] | [ 4100s] 156 | /* Set a double from a 64-bit int. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 157 | #define INSERT_WORD64(d, ix) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 158 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 159 | ieee_double_shape_type iw_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 160 | iw_u.xparts.w = (ix); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 161 | (d) = iw_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 162 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 163 | [ 4100s] | [ 4100s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 165 | [ 4100s] | [ 4100s] 166 | #define SET_HIGH_WORD(d, v) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 167 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 168 | ieee_double_shape_type sh_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 169 | sh_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 170 | sh_u.parts.msw = (v); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 171 | (d) = sh_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 172 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 173 | [ 4100s] | [ 4100s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 175 | [ 4100s] | [ 4100s] 176 | #define SET_LOW_WORD(d, v) \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 177 | do { \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 178 | ieee_double_shape_type sl_u; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 179 | sl_u.value = (d); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 180 | sl_u.parts.lsw = (v); \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 181 | (d) = sl_u.value; \ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 182 | } while (0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 183 | [ 4100s] | [ 4100s] 184 | /* Support macro. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 185 | [ 4100s] | [ 4100s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 187 | [ 4100s] | [ 4100s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 193 | [ 4100s] | [ 4100s] 194 | /* __ieee754_rem_pio2(x,y) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 195 | * [ 4100s] | ~ [ 4100s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 197 | * use __kernel_rem_pio2() [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 198 | */ [ 4100s] | ~~ [ 4100s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 200 | { [ 4100s] | ~ [ 4100s] 201 | /* [ 4100s] | ~~ [ 4100s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 203 | */ [ 4100s] | ~~ [ 4100s] 204 | constexpr int32_t two_over_pi[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 205 | 0xA2F983, [ 4100s] | ~~~~~~~~~ [ 4100s] 206 | 0x6E4E44, [ 4100s] | ~~~~~~~~~ [ 4100s] 207 | 0x1529FC, [ 4100s] | ~~~~~~~~~ [ 4100s] 208 | 0x2757D1, [ 4100s] | ~~~~~~~~~ [ 4100s] 209 | 0xF534DD, [ 4100s] | ~~~~~~~~~ [ 4100s] 210 | 0xC0DB62, [ 4100s] | ~~~~~~~~~ [ 4100s] 211 | 0x95993C, [ 4100s] | ~~~~~~~~~ [ 4100s] 212 | 0x439041, [ 4100s] | ~~~~~~~~~ [ 4100s] 213 | 0xFE5163, [ 4100s] | ~~~~~~~~~ [ 4100s] 214 | 0xABDEBB, [ 4100s] | ~~~~~~~~~ [ 4100s] 215 | 0xC561B7, [ 4100s] | ~~~~~~~~~ [ 4100s] 216 | 0x246E3A, [ 4100s] | ~~~~~~~~~ [ 4100s] 217 | 0x424DD2, [ 4100s] | ~~~~~~~~~ [ 4100s] 218 | 0xE00649, [ 4100s] | ~~~~~~~~~ [ 4100s] 219 | 0x2EEA09, [ 4100s] | ~~~~~~~~~ [ 4100s] 220 | 0xD1921C, [ 4100s] | ~~~~~~~~~ [ 4100s] 221 | 0xFE1DEB, [ 4100s] | ~~~~~~~~~ [ 4100s] 222 | 0x1CB129, [ 4100s] | ~~~~~~~~~ [ 4100s] 223 | 0xA73EE8, [ 4100s] | ~~~~~~~~~ [ 4100s] 224 | 0x8235F5, [ 4100s] | ~~~~~~~~~ [ 4100s] 225 | 0x2EBB44, [ 4100s] | ~~~~~~~~~ [ 4100s] 226 | 0x84E99C, [ 4100s] | ~~~~~~~~~ [ 4100s] 227 | 0x7026B4, [ 4100s] | ~~~~~~~~~ [ 4100s] 228 | 0x5F7E41, [ 4100s] | ~~~~~~~~~ [ 4100s] 229 | 0x3991D6, [ 4100s] | ~~~~~~~~~ [ 4100s] 230 | 0x398353, [ 4100s] | ~~~~~~~~~ [ 4100s] 231 | 0x39F49C, [ 4100s] | ~~~~~~~~~ [ 4100s] 232 | 0x845F8B, [ 4100s] | ~~~~~~~~~ [ 4100s] 233 | 0xBDF928, [ 4100s] | ~~~~~~~~~ [ 4100s] 234 | 0x3B1FF8, [ 4100s] | ~~~~~~~~~ [ 4100s] 235 | 0x97FFDE, [ 4100s] | ~~~~~~~~~ [ 4100s] 236 | 0x05980F, [ 4100s] | ~~~~~~~~~ [ 4100s] 237 | 0xEF2F11, [ 4100s] | ~~~~~~~~~ [ 4100s] 238 | 0x8B5A0A, [ 4100s] | ~~~~~~~~~ [ 4100s] 239 | 0x6D1F6D, [ 4100s] | ~~~~~~~~~ [ 4100s] 240 | 0x367ECF, [ 4100s] | ~~~~~~~~~ [ 4100s] 241 | 0x27CB09, [ 4100s] | ~~~~~~~~~ [ 4100s] 242 | 0xB74F46, [ 4100s] | ~~~~~~~~~ [ 4100s] 243 | 0x3F669E, [ 4100s] | ~~~~~~~~~ [ 4100s] 244 | 0x5FEA2D, [ 4100s] | ~~~~~~~~~ [ 4100s] 245 | 0x7527BA, [ 4100s] | ~~~~~~~~~ [ 4100s] 246 | 0xC7EBE5, [ 4100s] | ~~~~~~~~~ [ 4100s] 247 | 0xF17B3D, [ 4100s] | ~~~~~~~~~ [ 4100s] 248 | 0x0739F7, [ 4100s] | ~~~~~~~~~ [ 4100s] 249 | 0x8A5292, [ 4100s] | ~~~~~~~~~ [ 4100s] 250 | 0xEA6BFB, [ 4100s] | ~~~~~~~~~ [ 4100s] 251 | 0x5FB11F, [ 4100s] | ~~~~~~~~~ [ 4100s] 252 | 0x8D5D08, [ 4100s] | ~~~~~~~~~ [ 4100s] 253 | 0x560330, [ 4100s] | ~~~~~~~~~ [ 4100s] 254 | 0x46FC7B, [ 4100s] | ~~~~~~~~~ [ 4100s] 255 | 0x6BABF0, [ 4100s] | ~~~~~~~~~ [ 4100s] 256 | 0xCFBC20, [ 4100s] | ~~~~~~~~~ [ 4100s] 257 | 0x9AF436, [ 4100s] | ~~~~~~~~~ [ 4100s] 258 | 0x1DA9E3, [ 4100s] | ~~~~~~~~~ [ 4100s] 259 | 0x91615E, [ 4100s] | ~~~~~~~~~ [ 4100s] 260 | 0xE61B08, [ 4100s] | ~~~~~~~~~ [ 4100s] 261 | 0x659985, [ 4100s] | ~~~~~~~~~ [ 4100s] 262 | 0x5F14A0, [ 4100s] | ~~~~~~~~~ [ 4100s] 263 | 0x68408D, [ 4100s] | ~~~~~~~~~ [ 4100s] 264 | 0xFFD880, [ 4100s] | ~~~~~~~~~ [ 4100s] 265 | 0x4D7327, [ 4100s] | ~~~~~~~~~ [ 4100s] 266 | 0x310606, [ 4100s] | ~~~~~~~~~ [ 4100s] 267 | 0x1556CA, [ 4100s] | ~~~~~~~~~ [ 4100s] 268 | 0x73A8C9, [ 4100s] | ~~~~~~~~~ [ 4100s] 269 | 0x60E27B, [ 4100s] | ~~~~~~~~~ [ 4100s] 270 | 0xC08C6B, [ 4100s] | ~~~~~~~~~ [ 4100s] 271 | }; [ 4100s] | ~~ [ 4100s] 272 | [ 4100s] | [ 4100s] 273 | constexpr int32_t npio2_hw[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 274 | 0x3FF921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 275 | 0x400921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 276 | 0x4012D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 277 | 0x401921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 278 | 0x401F6A7A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 279 | 0x4022D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 280 | 0x4025FDBB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 281 | 0x402921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 282 | 0x402C463A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 283 | 0x402F6A7A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 284 | 0x4031475C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 285 | 0x4032D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 286 | 0x40346B9C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 287 | 0x4035FDBB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 288 | 0x40378FDB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 289 | 0x403921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 290 | 0x403AB41B, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 291 | 0x403C463A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 292 | 0x403DD85A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 293 | 0x403F6A7A, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 294 | 0x40407E4C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 295 | 0x4041475C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 296 | 0x4042106C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 297 | 0x4042D97C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 298 | 0x4043A28C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 299 | 0x40446B9C, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 300 | 0x404534AC, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 301 | 0x4045FDBB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 302 | 0x4046C6CB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 303 | 0x40478FDB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 304 | 0x404858EB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 305 | 0x404921FB, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 306 | }; [ 4100s] | ~~ [ 4100s] 307 | [ 4100s] | [ 4100s] 308 | /* [ 4100s] | ~~ [ 4100s] 309 | * invpio2: 53 bits of 2/pi [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 310 | * pio2_1: first 33 bit of pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 311 | * pio2_1t: pi/2 - pio2_1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 312 | * pio2_2: second 33 bit of pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 313 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 314 | * pio2_3: third 33 bit of pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 315 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 316 | */ [ 4100s] | ~~ [ 4100s] 317 | [ 4100s] | [ 4100s] 318 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 319 | zero [ 4100s] | ~~~~ [ 4100s] 320 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 321 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 322 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 323 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 324 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 325 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 326 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 327 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 328 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 329 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 330 | [ 4100s] | [ 4100s] 331 | double z, w, t, r, fn; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 332 | double tx[3]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 333 | int32_t e0, i, j, nx, n, ix, hx; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 334 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 335 | [ 4100s] | [ 4100s] 336 | z = 0; [ 4100s] | ~~~~~~ [ 4100s] 337 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 338 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 339 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 340 | y[0] = x; [ 4100s] | ~~~~~~~~~ [ 4100s] 341 | y[1] = 0; [ 4100s] | ~~~~~~~~~ [ 4100s] 342 | return 0; [ 4100s] | ~~~~~~~~~ [ 4100s] 343 | } [ 4100s] | ~ [ 4100s] 344 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 345 | if (hx > 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 346 | z = x - pio2_1; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 347 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 348 | y[0] = z - pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 349 | y[1] = (z - y[0]) - pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 350 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 351 | z -= pio2_2; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 352 | y[0] = z - pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 353 | y[1] = (z - y[0]) - pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 354 | } [ 4100s] | ~ [ 4100s] 355 | return 1; [ 4100s] | ~~~~~~~~~ [ 4100s] 356 | } else { /* negative x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 357 | z = x + pio2_1; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 358 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 359 | y[0] = z + pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 360 | y[1] = (z - y[0]) + pio2_1t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 361 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 362 | z += pio2_2; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 363 | y[0] = z + pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 364 | y[1] = (z - y[0]) + pio2_2t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 365 | } [ 4100s] | ~ [ 4100s] 366 | return -1; [ 4100s] | ~~~~~~~~~~ [ 4100s] 367 | } [ 4100s] | ~ [ 4100s] 368 | } [ 4100s] | ~ [ 4100s] 369 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 370 | t = fabs(x); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 371 | n = static_cast(t * invpio2 + half); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 372 | fn = static_cast(n); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 373 | r = t - fn * pio2_1; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 374 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 375 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 376 | y[0] = r - w; /* quick check no cancellation */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 377 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 378 | uint32_t high; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 379 | j = ix >> 20; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 380 | y[0] = r - w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 381 | GET_HIGH_WORD(high, y[0]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 382 | i = j - ((high >> 20) & 0x7FF); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 383 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 384 | t = r; [ 4100s] | ~~~~~~ [ 4100s] 385 | w = fn * pio2_2; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 386 | r = t - w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 387 | w = fn * pio2_2t - ((t - r) - w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 388 | y[0] = r - w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 389 | GET_HIGH_WORD(high, y[0]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 390 | i = j - ((high >> 20) & 0x7FF); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 391 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 392 | t = r; /* will cover all possible cases */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 393 | w = fn * pio2_3; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 394 | r = t - w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 395 | w = fn * pio2_3t - ((t - r) - w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 396 | y[0] = r - w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 397 | } [ 4100s] | ~ [ 4100s] 398 | } [ 4100s] | ~ [ 4100s] 399 | } [ 4100s] | ~ [ 4100s] 400 | y[1] = (r - y[0]) - w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 401 | if (hx < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 402 | y[0] = -y[0]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 403 | y[1] = -y[1]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 404 | return -n; [ 4100s] | ~~~~~~~~~~ [ 4100s] 405 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 406 | return n; [ 4100s] | ~~~~~~~~~ [ 4100s] 407 | } [ 4100s] | ~ [ 4100s] 408 | } [ 4100s] | ~ [ 4100s] 409 | /* [ 4100s] | ~~ [ 4100s] 410 | * all other (large) arguments [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 411 | */ [ 4100s] | ~~ [ 4100s] 412 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 413 | y[0] = y[1] = x - x; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 414 | return 0; [ 4100s] | ~~~~~~~~~ [ 4100s] 415 | } [ 4100s] | ~ [ 4100s] 416 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 417 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 418 | SET_LOW_WORD(z, low); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 419 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 420 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 421 | for (i = 0; i < 2; i++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 422 | tx[i] = static_cast(static_cast(z)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 423 | z = (z - tx[i]) * two24; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 424 | } [ 4100s] | ~ [ 4100s] 425 | tx[2] = z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 426 | nx = 3; [ 4100s] | ~~~~~~~ [ 4100s] 427 | while (tx[nx - 1] == zero) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 428 | nx--; /* skip zero term */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 429 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 430 | if (hx < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 431 | y[0] = -y[0]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 432 | y[1] = -y[1]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 433 | return -n; [ 4100s] | ~~~~~~~~~~ [ 4100s] 434 | } [ 4100s] | ~ [ 4100s] 435 | return n; [ 4100s] | ~~~~~~~~~ [ 4100s] 436 | } [ 4100s] | ~ [ 4100s] 437 | [ 4100s] | [ 4100s] 438 | /* __kernel_cos( x, y ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 439 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 440 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 441 | * Input y is the tail of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 442 | * [ 4100s] | ~ [ 4100s] 443 | * Algorithm [ 4100s] | ~~~~~~~~~~~ [ 4100s] 444 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 445 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 446 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 447 | * [0,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 448 | * 4 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 449 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 450 | * where the remez error is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 451 | * [ 4100s] | ~ [ 4100s] 452 | * | 2 4 6 8 10 12 14 | -58 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 453 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 454 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 455 | * [ 4100s] | ~ [ 4100s] 456 | * 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 457 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 458 | * cos(x) = 1 - x*x/2 + r [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 459 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 460 | * ~ cos(x) - x*y, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 461 | * a correction term is necessary in cos(x) and hence [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 462 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 463 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 464 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 465 | * Then [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 466 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 467 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 468 | * magnitude of the latter is at least a quarter of x*x/2, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 469 | * thus, reducing the rounding error in the subtraction. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 470 | */ [ 4100s] | ~~ [ 4100s] 471 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 472 | { [ 4100s] | ~ [ 4100s] 473 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 474 | one [ 4100s] | ~~~ [ 4100s] 475 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 476 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 477 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 478 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 479 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 480 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 481 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 482 | [ 4100s] | [ 4100s] 483 | double a, iz, z, r, qx; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 484 | int32_t ix; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 485 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 486 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 487 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 488 | return one; /* generate inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 489 | } [ 4100s] | ~ [ 4100s] 490 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 491 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 492 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 493 | return one - (0.5 * z - (z * r - x * y)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 494 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 495 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 496 | qx = 0.28125; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 497 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 498 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 499 | } [ 4100s] | ~ [ 4100s] 500 | iz = 0.5 * z - qx; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 501 | a = one - qx; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 502 | return a - (iz - (z * r - x * y)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 503 | } [ 4100s] | ~ [ 4100s] 504 | } [ 4100s] | ~ [ 4100s] 505 | [ 4100s] | [ 4100s] 506 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 507 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 508 | * [ 4100s] | ~ [ 4100s] 509 | * __kernel_rem_pio2 return the last three digits of N with [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 510 | * y = x - N*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 511 | * so that |y| < pi/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 512 | * [ 4100s] | ~ [ 4100s] 513 | * The method is to compute the integer (mod 8) and fraction parts of [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 514 | * (2/pi)*x without doing the full multiplication. In general we [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 515 | * skip the part of the product that are known to be a huge integer ( [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 516 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 517 | * independent of the exponent of the input. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 518 | * [ 4100s] | ~ [ 4100s] 519 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 520 | * [ 4100s] | ~ [ 4100s] 521 | * Input parameters: [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 522 | * x[] The input value (must be positive) is broken into nx [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 523 | * pieces of 24-bit integers in double precision format. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 524 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 525 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 526 | * match x's up to 24 bits. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 527 | * [ 4100s] | ~ [ 4100s] 528 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 529 | * e0 = ilogb(z)-23 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 530 | * z = scalbn(z,-e0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 531 | * for i = 0,1,2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 532 | * x[i] = floor(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 533 | * z = (z-x[i])*2**24 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 534 | * [ 4100s] | ~ [ 4100s] 535 | * [ 4100s] | ~ [ 4100s] 536 | * y[] output result in an array of double precision numbers. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 537 | * The dimension of y[] is: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 538 | * 24-bit precision 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 539 | * 53-bit precision 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 540 | * 64-bit precision 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 541 | * 113-bit precision 3 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 542 | * The actual value is the sum of them. Thus for 113-bit [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 543 | * precison, one may have to do something like: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 544 | * [ 4100s] | ~ [ 4100s] 545 | * long double t,w,r_head, r_tail; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 546 | * t = (long double)y[2] + (long double)y[1]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 547 | * w = (long double)y[0]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 548 | * r_head = t+w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 549 | * r_tail = w - (r_head - t); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 550 | * [ 4100s] | ~ [ 4100s] 551 | * e0 The exponent of x[0] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 552 | * [ 4100s] | ~ [ 4100s] 553 | * nx dimension of x[] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 554 | * [ 4100s] | ~ [ 4100s] 555 | * prec an integer indicating the precision: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 556 | * 0 24 bits (single) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 557 | * 1 53 bits (double) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 558 | * 2 64 bits (extended) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 559 | * 3 113 bits (quad) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 560 | * [ 4100s] | ~ [ 4100s] 561 | * ipio2[] [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 562 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 563 | * bit of 2/pi after binary point. The corresponding [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 564 | * floating value is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 565 | * [ 4100s] | ~ [ 4100s] 566 | * ipio2[i] * 2^(-24(i+1)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 567 | * [ 4100s] | ~ [ 4100s] 568 | * External function: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 569 | * double scalbn(), floor(); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 570 | * [ 4100s] | ~ [ 4100s] 571 | * [ 4100s] | ~ [ 4100s] 572 | * Here is the description of some local variables: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 573 | * [ 4100s] | ~ [ 4100s] 574 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 575 | * in the computation. The recommended value is 2,3,4, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 576 | * 6 for single, double, extended,and quad. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 577 | * [ 4100s] | ~ [ 4100s] 578 | * jz local integer variable indicating the number of [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 579 | * terms of ipio2[] used. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 580 | * [ 4100s] | ~ [ 4100s] 581 | * jx nx - 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 582 | * [ 4100s] | ~ [ 4100s] 583 | * jv index for pointing to the suitable ipio2[] for the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 584 | * computation. In general, we want [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 585 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 586 | * is an integer. Thus [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 587 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 588 | * Hence jv = max(0,(e0-3)/24). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 589 | * [ 4100s] | ~ [ 4100s] 590 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 591 | * [ 4100s] | ~ [ 4100s] 592 | * q[] double array with integral value, representing the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 593 | * 24-bits chunk of the product of x and 2/pi. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 594 | * [ 4100s] | ~ [ 4100s] 595 | * q0 the corresponding exponent of q[0]. Note that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 596 | * exponent for q[i] would be q0-24*i. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 597 | * [ 4100s] | ~ [ 4100s] 598 | * PIo2[] double precision array, obtained by cutting pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 599 | * into 24 bits chunks. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 600 | * [ 4100s] | ~ [ 4100s] 601 | * f[] ipio2[] in floating point [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 602 | * [ 4100s] | ~ [ 4100s] 603 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 604 | * [ 4100s] | ~ [ 4100s] 605 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 606 | * [ 4100s] | ~ [ 4100s] 607 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 608 | * it also indicates the *sign* of the result. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 609 | * [ 4100s] | ~ [ 4100s] 610 | */ [ 4100s] | ~~ [ 4100s] 611 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 612 | const int32_t *ipio2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 613 | { [ 4100s] | ~ [ 4100s] 614 | /* Constants: [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 615 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 616 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 617 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 618 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 619 | */ [ 4100s] | ~~ [ 4100s] 620 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 621 | [ 4100s] | [ 4100s] 622 | constexpr double PIo2[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 623 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 624 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 625 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 626 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 627 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 628 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 629 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 630 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 631 | }; [ 4100s] | ~~ [ 4100s] 632 | [ 4100s] | [ 4100s] 633 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 634 | zero [ 4100s] | ~~~~ [ 4100s] 635 | = 0.0, [ 4100s] | ~~~~~~ [ 4100s] 636 | one = 1.0, [ 4100s] | ~~~~~~~~~~ [ 4100s] 637 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 638 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 639 | [ 4100s] | [ 4100s] 640 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 641 | double z, fw, f[20], fq[20], q[20]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 642 | [ 4100s] | [ 4100s] 643 | /* initialize jk*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 644 | jk = init_jk[prec]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 645 | jp = jk; [ 4100s] | ~~~~~~~~ [ 4100s] 646 | [ 4100s] | [ 4100s] 647 | /* determine jx,jv,q0, note that 3>q0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 648 | jx = nx - 1; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 649 | jv = (e0 - 3) / 24; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 650 | if (jv < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 651 | jv = 0; [ 4100s] | ~~~~~~~ [ 4100s] 652 | q0 = e0 - 24 * (jv + 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 653 | [ 4100s] | [ 4100s] 654 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 655 | j = jv - jx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 656 | m = jx + jk; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 657 | for (i = 0; i <= m; i++, j++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 658 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 659 | } [ 4100s] | ~ [ 4100s] 660 | [ 4100s] | [ 4100s] 661 | /* compute q[0],q[1],...q[jk] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 662 | for (i = 0; i <= jk; i++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 663 | for (j = 0, fw = 0.0; j <= jx; j++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 664 | fw += x[j] * f[jx + i - j]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 665 | q[i] = fw; [ 4100s] | ~~~~~~~~~~ [ 4100s] 666 | } [ 4100s] | ~ [ 4100s] 667 | [ 4100s] | [ 4100s] 668 | jz = jk; [ 4100s] | ~~~~~~~~ [ 4100s] 669 | recompute: [ 4100s] | ~~~~~~~~~~ [ 4100s] 670 | /* distill q[] into iq[] reversingly */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 671 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 672 | fw = static_cast(static_cast(twon24 * z)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 673 | iq[i] = static_cast(z - two24 * fw); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 674 | z = q[j - 1] + fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 675 | } [ 4100s] | ~ [ 4100s] 676 | [ 4100s] | [ 4100s] 677 | /* compute n */ [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 678 | z = scalbn(z, q0); /* actual value of z */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 679 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 680 | n = static_cast(z); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 681 | z -= static_cast(n); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 682 | ih = 0; [ 4100s] | ~~~~~~~ [ 4100s] 683 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 684 | i = (iq[jz - 1] >> (24 - q0)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 685 | n += i; [ 4100s] | ~~~~~~~ [ 4100s] 686 | iq[jz - 1] -= i << (24 - q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 687 | ih = iq[jz - 1] >> (23 - q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 688 | } else if (q0 == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 689 | ih = iq[jz - 1] >> 23; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 690 | } else if (z >= 0.5) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 691 | ih = 2; [ 4100s] | ~~~~~~~ [ 4100s] 692 | } [ 4100s] | ~ [ 4100s] 693 | [ 4100s] | [ 4100s] 694 | if (ih > 0) { /* q > 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 695 | n += 1; [ 4100s] | ~~~~~~~ [ 4100s] 696 | carry = 0; [ 4100s] | ~~~~~~~~~~ [ 4100s] 697 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 698 | j = iq[i]; [ 4100s] | ~~~~~~~~~~ [ 4100s] 699 | if (carry == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 700 | if (j != 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 701 | carry = 1; [ 4100s] | ~~~~~~~~~~ [ 4100s] 702 | iq[i] = 0x1000000 - j; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 703 | } [ 4100s] | ~ [ 4100s] 704 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 705 | iq[i] = 0xFFFFFF - j; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 706 | } [ 4100s] | ~ [ 4100s] 707 | } [ 4100s] | ~ [ 4100s] 708 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 709 | switch (q0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 710 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 711 | iq[jz - 1] &= 0x7FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 712 | break; [ 4100s] | ~~~~~~ [ 4100s] 713 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 714 | iq[jz - 1] &= 0x3FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 715 | break; [ 4100s] | ~~~~~~ [ 4100s] 716 | } [ 4100s] | ~ [ 4100s] 717 | } [ 4100s] | ~ [ 4100s] 718 | if (ih == 2) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 719 | z = one - z; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 720 | if (carry != 0) [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 721 | z -= scalbn(one, q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 722 | } [ 4100s] | ~ [ 4100s] 723 | } [ 4100s] | ~ [ 4100s] 724 | [ 4100s] | [ 4100s] 725 | /* check if recomputation is needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 726 | if (z == zero) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 727 | j = 0; [ 4100s] | ~~~~~~ [ 4100s] 728 | for (i = jz - 1; i >= jk; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 729 | j |= iq[i]; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 730 | if (j == 0) { /* need recomputation */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 731 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 732 | /* k = no. of terms needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 733 | } [ 4100s] | ~ [ 4100s] 734 | [ 4100s] | [ 4100s] 735 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 736 | f[jx + i] = ipio2[jv + i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 737 | for (j = 0, fw = 0.0; j <= jx; j++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 738 | fw += x[j] * f[jx + i - j]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 739 | q[i] = fw; [ 4100s] | ~~~~~~~~~~ [ 4100s] 740 | } [ 4100s] | ~ [ 4100s] 741 | jz += k; [ 4100s] | ~~~~~~~~ [ 4100s] 742 | goto recompute; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 743 | } [ 4100s] | ~ [ 4100s] 744 | } [ 4100s] | ~ [ 4100s] 745 | [ 4100s] | [ 4100s] 746 | /* chop off zero terms */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 747 | if (z == 0.0) { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 748 | jz -= 1; [ 4100s] | ~~~~~~~~ [ 4100s] 749 | q0 -= 24; [ 4100s] | ~~~~~~~~~ [ 4100s] 750 | while (iq[jz] == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 751 | jz--; [ 4100s] | ~~~~~ [ 4100s] 752 | q0 -= 24; [ 4100s] | ~~~~~~~~~ [ 4100s] 753 | } [ 4100s] | ~ [ 4100s] 754 | } else { /* break z into 24-bit if necessary */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 755 | z = scalbn(z, -q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 756 | if (z >= two24) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 757 | fw = static_cast(static_cast(twon24 * z)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 758 | iq[jz] = z - two24 * fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 759 | jz += 1; [ 4100s] | ~~~~~~~~ [ 4100s] 760 | q0 += 24; [ 4100s] | ~~~~~~~~~ [ 4100s] 761 | iq[jz] = fw; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 762 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 763 | iq[jz] = z; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 764 | } [ 4100s] | ~ [ 4100s] 765 | } [ 4100s] | ~ [ 4100s] 766 | [ 4100s] | [ 4100s] 767 | /* convert integer "bit" chunk to floating-point value */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 768 | fw = scalbn(one, q0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 769 | for (i = jz; i >= 0; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 770 | q[i] = fw * iq[i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 771 | fw *= twon24; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 772 | } [ 4100s] | ~ [ 4100s] 773 | [ 4100s] | [ 4100s] 774 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 775 | for (i = jz; i >= 0; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 776 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 777 | fw += PIo2[k] * q[i + k]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 778 | fq[jz - i] = fw; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 779 | } [ 4100s] | ~ [ 4100s] 780 | [ 4100s] | [ 4100s] 781 | /* compress fq[] into y[] */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 782 | switch (prec) { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 783 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 784 | fw = 0.0; [ 4100s] | ~~~~~~~~~ [ 4100s] 785 | for (i = jz; i >= 0; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 786 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 787 | y[0] = (ih == 0) ? fw : -fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 788 | break; [ 4100s] | ~~~~~~ [ 4100s] 789 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 790 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 791 | fw = 0.0; [ 4100s] | ~~~~~~~~~ [ 4100s] 792 | for (i = jz; i >= 0; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 793 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 794 | y[0] = (ih == 0) ? fw : -fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 795 | fw = fq[0] - fw; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 796 | for (i = 1; i <= jz; i++) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 797 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 798 | y[1] = (ih == 0) ? fw : -fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 799 | break; [ 4100s] | ~~~~~~ [ 4100s] 800 | case 3: /* painful */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 801 | for (i = jz; i > 0; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 802 | fw = fq[i - 1] + fq[i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 803 | fq[i] += fq[i - 1] - fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 804 | fq[i - 1] = fw; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 805 | } [ 4100s] | ~ [ 4100s] 806 | for (i = jz; i > 1; i--) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 807 | fw = fq[i - 1] + fq[i]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 808 | fq[i] += fq[i - 1] - fw; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 809 | fq[i - 1] = fw; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 810 | } [ 4100s] | ~ [ 4100s] 811 | for (fw = 0.0, i = jz; i >= 2; i--) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 812 | fw += fq[i]; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 813 | if (ih == 0) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 814 | y[0] = fq[0]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 815 | y[1] = fq[1]; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 816 | y[2] = fw; [ 4100s] | ~~~~~~~~~~ [ 4100s] 817 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 818 | y[0] = -fq[0]; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 819 | y[1] = -fq[1]; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 820 | y[2] = -fw; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 821 | } [ 4100s] | ~ [ 4100s] 822 | } [ 4100s] | ~ [ 4100s] 823 | return n & 7; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 824 | } [ 4100s] | ~ [ 4100s] 825 | [ 4100s] | [ 4100s] 826 | /* __kernel_sin( x, y, iy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 827 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 828 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 829 | * Input y is the tail of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 830 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 831 | * [ 4100s] | ~ [ 4100s] 832 | * Algorithm [ 4100s] | ~~~~~~~~~~~ [ 4100s] 833 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 834 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 835 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 836 | * [0,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 837 | * 3 13 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 838 | * sin(x) ~ x + S1*x + ... + S6*x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 839 | * where [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 840 | * [ 4100s] | ~ [ 4100s] 841 | * |sin(x) 2 4 6 8 10 12 | -58 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 842 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 843 | * | x | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 844 | * [ 4100s] | ~ [ 4100s] 845 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 846 | * ~ sin(x) + (1-x*x/2)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 847 | * For better accuracy, let [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 848 | * 3 2 2 2 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 849 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 850 | * then 3 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 851 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 852 | */ [ 4100s] | ~~ [ 4100s] 853 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 854 | { [ 4100s] | ~ [ 4100s] 855 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 856 | half [ 4100s] | ~~~~ [ 4100s] 857 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 858 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 859 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 860 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 861 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 862 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 863 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 864 | [ 4100s] | [ 4100s] 865 | double z, r, v; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 866 | int32_t ix; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 867 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 868 | ix &= 0x7FFFFFFF; /* high word of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 869 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 870 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 871 | } /* generate inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 872 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 873 | v = z * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 874 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 875 | if (iy == 0) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 876 | return x + v * (S1 + z * r); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 877 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 878 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 879 | } [ 4100s] | ~ [ 4100s] 880 | } [ 4100s] | ~ [ 4100s] 881 | [ 4100s] | [ 4100s] 882 | /* __kernel_tan( x, y, k ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 883 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 884 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 885 | * Input y is the tail of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 886 | * Input k indicates whether tan (if k=1) or [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 887 | * -1/tan (if k= -1) is returned. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 888 | * [ 4100s] | ~ [ 4100s] 889 | * Algorithm [ 4100s] | ~~~~~~~~~~~ [ 4100s] 890 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 891 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 892 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 893 | * [0,0.67434] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 894 | * 3 27 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 895 | * tan(x) ~ x + T1*x + ... + T13*x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 896 | * where [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 897 | * [ 4100s] | ~ [ 4100s] 898 | * |tan(x) 2 4 26 | -59.2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 899 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 900 | * | x | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 901 | * [ 4100s] | ~ [ 4100s] 902 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 903 | * ~ tan(x) + (1+x*x)*y [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 904 | * Therefore, for better accuracy in computing tan(x+y), let [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 905 | * 3 2 2 2 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 906 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 907 | * then [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 908 | * 3 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 909 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 910 | * [ 4100s] | ~ [ 4100s] 911 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 912 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 913 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 914 | */ [ 4100s] | ~~ [ 4100s] 915 | double __kernel_tan(double x, double y, int iy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 916 | { [ 4100s] | ~ [ 4100s] 917 | constexpr double xxx[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 918 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 919 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 920 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 921 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 922 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 923 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 924 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 925 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 926 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 927 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 928 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 929 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 930 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 931 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 932 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 933 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 934 | }; [ 4100s] | ~~ [ 4100s] 935 | #define one xxx[13] [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 936 | #define pio4 xxx[14] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 937 | #define pio4lo xxx[15] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 938 | #define T xxx [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 939 | [ 4100s] | [ 4100s] 940 | double z, r, v, w, s; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 941 | int32_t ix, hx; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 942 | [ 4100s] | [ 4100s] 943 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 944 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 945 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 946 | /* generate inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 947 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 948 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 949 | if (((ix | low) | (iy + 1)) == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 950 | return one / fabs(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 951 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 952 | if (iy == 1) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 953 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 954 | } else { /* compute -1 / (x+y) carefully */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 955 | double a, t; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 956 | [ 4100s] | [ 4100s] 957 | z = w = x + y; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 958 | SET_LOW_WORD(z, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 959 | v = y - (z - x); [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 960 | t = a = -one / w; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 961 | SET_LOW_WORD(t, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 962 | s = one + t * z; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 963 | return t + a * (s + t * v); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 964 | } [ 4100s] | ~ [ 4100s] 965 | } [ 4100s] | ~ [ 4100s] 966 | } [ 4100s] | ~ [ 4100s] 967 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 968 | if (hx < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 969 | x = -x; [ 4100s] | ~~~~~~~ [ 4100s] 970 | y = -y; [ 4100s] | ~~~~~~~ [ 4100s] 971 | } [ 4100s] | ~ [ 4100s] 972 | z = pio4 - x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 973 | w = pio4lo - y; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 974 | x = z + w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 975 | y = 0.0; [ 4100s] | ~~~~~~~~ [ 4100s] 976 | } [ 4100s] | ~ [ 4100s] 977 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 978 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 979 | /* [ 4100s] | ~~ [ 4100s] 980 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 981 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 982 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 983 | */ [ 4100s] | ~~ [ 4100s] 984 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 985 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 986 | s = z * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 987 | r = y + z * (s * (r + v) + y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 988 | r += T[0] * s; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 989 | w = x + r; [ 4100s] | ~~~~~~~~~~ [ 4100s] 990 | if (ix >= 0x3FE59428) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 991 | v = iy; [ 4100s] | ~~~~~~~ [ 4100s] 992 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 993 | } [ 4100s] | ~ [ 4100s] 994 | if (iy == 1) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 995 | return w; [ 4100s] | ~~~~~~~~~ [ 4100s] 996 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 997 | /* [ 4100s] | ~~ [ 4100s] 998 | * if allow error up to 2 ulp, simply return [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 999 | * -1.0 / (x+r) here [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1000 | */ [ 4100s] | ~~ [ 4100s] 1001 | /* compute -1.0 / (x+r) accurately */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1002 | double a, t; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1003 | z = w; [ 4100s] | ~~~~~~ [ 4100s] 1004 | SET_LOW_WORD(z, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1005 | v = r - (z - x); /* z+v = r+x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1006 | t = a = -1.0 / w; /* a = -1.0/w */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1007 | SET_LOW_WORD(t, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1008 | s = 1.0 + t * z; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1009 | return t + a * (s + t * v); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1010 | } [ 4100s] | ~ [ 4100s] 1011 | [ 4100s] | [ 4100s] 1012 | #undef one [ 4100s] | ~~~~~~~~~~ [ 4100s] 1013 | #undef pio4 [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1014 | #undef pio4lo [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1015 | #undef T [ 4100s] | ~~~~~~~~ [ 4100s] 1016 | } [ 4100s] | ~ [ 4100s] 1017 | [ 4100s] | [ 4100s] 1018 | } // namespace [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1019 | [ 4100s] | [ 4100s] 1020 | /* acos(x) [ 4100s] | ~~~~~~~~~~ [ 4100s] 1021 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1022 | * acos(x) = pi/2 - asin(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1023 | * acos(-x) = pi/2 + asin(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1024 | * For |x|<=0.5 [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1025 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1026 | * For x>0.5 [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1027 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1028 | * = 2asin(sqrt((1-x)/2)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1029 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1030 | * = 2f + (2c + 2s*z*R(z)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1031 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1032 | * for f so that f+c ~ sqrt(z). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1033 | * For x<-0.5 [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1034 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1035 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1036 | * [ 4100s] | ~ [ 4100s] 1037 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1038 | * if x is NaN, return x itself; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1039 | * if |x|>1, return NaN with invalid signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1040 | * [ 4100s] | ~ [ 4100s] 1041 | * Function needed: sqrt [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1042 | */ [ 4100s] | ~~ [ 4100s] 1043 | double acos(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1044 | { [ 4100s] | ~ [ 4100s] 1045 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1046 | one [ 4100s] | ~~~ [ 4100s] 1047 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1048 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1049 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1050 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1051 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1052 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1053 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1054 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1055 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1056 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1057 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1058 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1059 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1060 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1061 | [ 4100s] | [ 4100s] 1062 | double z, p, q, r, w, s, c, df; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1063 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1064 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1065 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1066 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1067 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1068 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1069 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1070 | if (hx > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1071 | return 0.0; /* acos(1) = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1072 | else [ 4100s] | ~~~~ [ 4100s] 1073 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1074 | } [ 4100s] | ~ [ 4100s] 1075 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1076 | } [ 4100s] | ~ [ 4100s] 1077 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1078 | if (ix <= 0x3C600000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1079 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1080 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1081 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1082 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1083 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1084 | return pio2_hi - (x - (pio2_lo - x * r)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1085 | } else if (hx < 0) { /* x < -0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1086 | z = (one + x) * 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1087 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1088 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1089 | s = sqrt(z); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1090 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1091 | w = r * s - pio2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1092 | return pi - 2.0 * (s + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1093 | } else { /* x > 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1094 | z = (one - x) * 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1095 | s = sqrt(z); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1096 | df = s; [ 4100s] | ~~~~~~~ [ 4100s] 1097 | SET_LOW_WORD(df, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1098 | c = (z - df * df) / (s + df); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1099 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1100 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1101 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1102 | w = r * s + c; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1103 | return 2.0 * (df + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1104 | } [ 4100s] | ~ [ 4100s] 1105 | } [ 4100s] | ~ [ 4100s] 1106 | [ 4100s] | [ 4100s] 1107 | /* acosh(x) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1108 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1109 | * Based on [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1110 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1111 | * we have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1112 | * acosh(x) := log(x)+ln2, if x is large; else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1113 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1114 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1115 | * [ 4100s] | ~ [ 4100s] 1116 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1117 | * acosh(x) is NaN with signal if x<1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1118 | * acosh(NaN) is NaN without signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1119 | */ [ 4100s] | ~~ [ 4100s] 1120 | double acosh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1121 | { [ 4100s] | ~ [ 4100s] 1122 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1123 | one [ 4100s] | ~~~ [ 4100s] 1124 | = 1.0, [ 4100s] | ~~~~~~ [ 4100s] 1125 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1126 | double t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1127 | int32_t hx; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1128 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1129 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1130 | if (hx < 0x3FF00000) { /* x < 1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1131 | return (x - x) / (x - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1132 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1133 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1134 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1135 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1136 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1137 | } [ 4100s] | ~ [ 4100s] 1138 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1139 | return 0.0; /* acosh(1) = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1140 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1141 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1142 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1143 | } else { /* 10.98 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1163 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1164 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1165 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1166 | * f = hi part of s; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1167 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1168 | * and [ 4100s] | ~~~~~~~~~~ [ 4100s] 1169 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1170 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1171 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1172 | * [ 4100s] | ~ [ 4100s] 1173 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1174 | * if x is NaN, return x itself; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1175 | * if |x|>1, return NaN with invalid signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1176 | */ [ 4100s] | ~~ [ 4100s] 1177 | double asin(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1178 | { [ 4100s] | ~ [ 4100s] 1179 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1180 | one [ 4100s] | ~~~ [ 4100s] 1181 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1182 | huge = 1.000e+300, [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1183 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1184 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1185 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1186 | /* coefficient for R(x^2) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1187 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1188 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1189 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1190 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1191 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1192 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1193 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1194 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1195 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1196 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1197 | [ 4100s] | [ 4100s] 1198 | double t, w, p, q, c, r, s; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1199 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1200 | [ 4100s] | [ 4100s] 1201 | t = 0; [ 4100s] | ~~~~~~ [ 4100s] 1202 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1203 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1204 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1205 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1206 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1207 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1208 | return x * pio2_hi + x * pio2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1209 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1210 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1211 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1212 | return x; /* return x with inexact if x!=0*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1213 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1214 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1215 | } [ 4100s] | ~ [ 4100s] 1216 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1217 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1218 | w = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1219 | return x + x * w; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1220 | } [ 4100s] | ~ [ 4100s] 1221 | /* 1> |x|>= 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1222 | w = one - fabs(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1223 | t = w * 0.5; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1224 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1225 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1226 | s = sqrt(t); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1227 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1228 | w = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1229 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1230 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1231 | w = s; [ 4100s] | ~~~~~~ [ 4100s] 1232 | SET_LOW_WORD(w, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1233 | c = (t - w * w) / (s + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1234 | r = p / q; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1235 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1236 | q = pio4_hi - 2.0 * w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1237 | t = pio4_hi - (p - q); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1238 | } [ 4100s] | ~ [ 4100s] 1239 | if (hx > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1240 | return t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1241 | else [ 4100s] | ~~~~ [ 4100s] 1242 | return -t; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1243 | } [ 4100s] | ~ [ 4100s] 1244 | /* asinh(x) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1245 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1246 | * Based on [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1247 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1248 | * we have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1249 | * asinh(x) := x if 1+x*x=1, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1250 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1251 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1252 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1253 | */ [ 4100s] | ~~ [ 4100s] 1254 | double asinh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1255 | { [ 4100s] | ~ [ 4100s] 1256 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1257 | one [ 4100s] | ~~~ [ 4100s] 1258 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1259 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1260 | huge = 1.00000000000000000000e+300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1261 | [ 4100s] | [ 4100s] 1262 | double t, w; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1263 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1264 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1265 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1266 | if (ix >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1267 | return x + x; /* x is inf or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1268 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1269 | return x; /* return x inexact except 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1270 | } [ 4100s] | ~ [ 4100s] 1271 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1272 | w = log(fabs(x)) + ln2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1273 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1274 | t = fabs(x); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1275 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1276 | } else { /* 2.0 > |x| > 2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1277 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1278 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1279 | } [ 4100s] | ~ [ 4100s] 1280 | if (hx > 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1281 | return w; [ 4100s] | ~~~~~~~~~ [ 4100s] 1282 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1283 | return -w; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1284 | } [ 4100s] | ~ [ 4100s] 1285 | } [ 4100s] | ~ [ 4100s] 1286 | [ 4100s] | [ 4100s] 1287 | /* atan(x) [ 4100s] | ~~~~~~~~~~ [ 4100s] 1288 | * Method [ 4100s] | ~~~~~~~~ [ 4100s] 1289 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1290 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1291 | * is further reduced to one of the following intervals and the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1292 | * arctangent of t is evaluated by the corresponding formula: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1293 | * [ 4100s] | ~ [ 4100s] 1294 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1295 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1296 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1297 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1298 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1299 | * [ 4100s] | ~ [ 4100s] 1300 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1301 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1302 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1303 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1304 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1305 | */ [ 4100s] | ~~ [ 4100s] 1306 | double atan(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1307 | { [ 4100s] | ~ [ 4100s] 1308 | constexpr double atanhi[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1309 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1310 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1311 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1312 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1313 | }; [ 4100s] | ~~ [ 4100s] 1314 | [ 4100s] | [ 4100s] 1315 | constexpr double atanlo[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1316 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1317 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1318 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1319 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1320 | }; [ 4100s] | ~~ [ 4100s] 1321 | [ 4100s] | [ 4100s] 1322 | constexpr double aT[] = { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1323 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1324 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1325 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1326 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1327 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1328 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1329 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1330 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1331 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1332 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1333 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1334 | }; [ 4100s] | ~~ [ 4100s] 1335 | [ 4100s] | [ 4100s] 1336 | constexpr double one = 1.0, huge = 1.0e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1337 | [ 4100s] | [ 4100s] 1338 | double w, s1, s2, z; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1339 | int32_t ix, hx, id; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1340 | [ 4100s] | [ 4100s] 1341 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1342 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1343 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1344 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1345 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1346 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1347 | return x + x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1348 | if (hx > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1349 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1350 | else [ 4100s] | ~~~~ [ 4100s] 1351 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1352 | } [ 4100s] | ~ [ 4100s] 1353 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1354 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1355 | return x; /* raise inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1356 | } [ 4100s] | ~ [ 4100s] 1357 | id = -1; [ 4100s] | ~~~~~~~~ [ 4100s] 1358 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1359 | x = fabs(x); [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1360 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1361 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1362 | id = 0; [ 4100s] | ~~~~~~~ [ 4100s] 1363 | x = (2.0 * x - one) / (2.0 + x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1364 | } else { /* 11/16<=|x|< 19/16 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1365 | id = 1; [ 4100s] | ~~~~~~~ [ 4100s] 1366 | x = (x - one) / (x + one); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1367 | } [ 4100s] | ~ [ 4100s] 1368 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1369 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1370 | id = 2; [ 4100s] | ~~~~~~~ [ 4100s] 1371 | x = (x - 1.5) / (one + 1.5 * x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1372 | } else { /* 2.4375 <= |x| < 2^66 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1373 | id = 3; [ 4100s] | ~~~~~~~ [ 4100s] 1374 | x = -1.0 / x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1375 | } [ 4100s] | ~ [ 4100s] 1376 | } [ 4100s] | ~ [ 4100s] 1377 | } [ 4100s] | ~ [ 4100s] 1378 | /* end of argument reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1379 | z = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1380 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1381 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1382 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1383 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1384 | if (id < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1385 | return x - x * (s1 + s2); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1386 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1387 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1388 | return (hx < 0) ? -z : z; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1389 | } [ 4100s] | ~ [ 4100s] 1390 | } [ 4100s] | ~ [ 4100s] 1391 | [ 4100s] | [ 4100s] 1392 | /* atan2(y,x) [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1393 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1394 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1395 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1396 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1397 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1398 | * [ 4100s] | ~ [ 4100s] 1399 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1400 | * [ 4100s] | ~ [ 4100s] 1401 | * ATAN2((anything), NaN ) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1402 | * ATAN2(NAN , (anything) ) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1403 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1404 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1405 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1406 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1407 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1408 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1409 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1410 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1411 | * [ 4100s] | ~ [ 4100s] 1412 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1413 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1414 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1415 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1416 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1417 | */ [ 4100s] | ~~ [ 4100s] 1418 | double atan2(double y, double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1419 | { [ 4100s] | ~ [ 4100s] 1420 | constexpr volatile double tiny = 1.0e-300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1421 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1422 | zero [ 4100s] | ~~~~ [ 4100s] 1423 | = 0.0, [ 4100s] | ~~~~~~ [ 4100s] 1424 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1425 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1426 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1427 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1428 | [ 4100s] | [ 4100s] 1429 | double z; [ 4100s] | ~~~~~~~~~ [ 4100s] 1430 | int32_t k, m, hx, hy, ix, iy; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1431 | uint32_t lx, ly; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1432 | [ 4100s] | [ 4100s] 1433 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1434 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1435 | EXTRACT_WORDS(hy, ly, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1436 | iy = hy & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1437 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1438 | return x + y; /* x or y is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1439 | } [ 4100s] | ~ [ 4100s] 1440 | if (((hx - 0x3FF00000) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1441 | return atan(y); /* x=1.0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1442 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1443 | [ 4100s] | [ 4100s] 1444 | /* when y = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1445 | if ((iy | ly) == 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1446 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1447 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1448 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1449 | return y; /* atan(+-0,+anything)=+-0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1450 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1451 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1452 | case 3: [ 4100s] | ~~~~~~~ [ 4100s] 1453 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1454 | } [ 4100s] | ~ [ 4100s] 1455 | } [ 4100s] | ~ [ 4100s] 1456 | /* when x = 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1457 | if ((ix | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1458 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1459 | [ 4100s] | [ 4100s] 1460 | /* when x is INF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1461 | if (ix == 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1462 | if (iy == 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1463 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1464 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1465 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1466 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1467 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1468 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1469 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1470 | case 3: [ 4100s] | ~~~~~~~ [ 4100s] 1471 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1472 | } [ 4100s] | ~ [ 4100s] 1473 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1474 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1475 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1476 | return zero; /* atan(+...,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1477 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1478 | return -zero; /* atan(-...,+INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1479 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1480 | return pi + tiny; /* atan(+...,-INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1481 | case 3: [ 4100s] | ~~~~~~~ [ 4100s] 1482 | return -pi - tiny; /* atan(-...,-INF) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1483 | } [ 4100s] | ~ [ 4100s] 1484 | } [ 4100s] | ~ [ 4100s] 1485 | } [ 4100s] | ~ [ 4100s] 1486 | /* when y is INF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1487 | if (iy == 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1488 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1489 | [ 4100s] | [ 4100s] 1490 | /* compute y/x */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1491 | k = (iy - ix) >> 20; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1492 | if (k > 60) { /* |y/x| > 2**60 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1493 | z = pi_o_2 + 0.5 * pi_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1494 | m &= 1; [ 4100s] | ~~~~~~~ [ 4100s] 1495 | } else if (hx < 0 && k < -60) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1496 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1497 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1498 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1499 | } [ 4100s] | ~ [ 4100s] 1500 | switch (m) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1501 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1502 | return z; /* atan(+,+) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1503 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1504 | return -z; /* atan(-,+) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1505 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1506 | return pi - (z - pi_lo); /* atan(+,-) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1507 | default: /* case 3 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1508 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1509 | } [ 4100s] | ~ [ 4100s] 1510 | } [ 4100s] | ~ [ 4100s] 1511 | [ 4100s] | [ 4100s] 1512 | /* cos(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 1513 | * Return cosine function of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1514 | * [ 4100s] | ~ [ 4100s] 1515 | * kernel function: [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1516 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1517 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1518 | * __ieee754_rem_pio2 ... argument reduction routine [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1519 | * [ 4100s] | ~ [ 4100s] 1520 | * Method. [ 4100s] | ~~~~~~~~~ [ 4100s] 1521 | * Let S,C and T denote the sin, cos and tan respectively on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1522 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1523 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1524 | * We have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1525 | * [ 4100s] | ~ [ 4100s] 1526 | * n sin(x) cos(x) tan(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1527 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1528 | * 0 S C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1529 | * 1 C -S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1530 | * 2 -S -C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1531 | * 3 -C S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1532 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1533 | * [ 4100s] | ~ [ 4100s] 1534 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1535 | * Let trig be any of sin, cos, or tan. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1536 | * trig(+-INF) is NaN, with signals; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1537 | * trig(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1538 | * [ 4100s] | ~ [ 4100s] 1539 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1540 | * TRIG(x) returns trig(x) nearly rounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1541 | */ [ 4100s] | ~~ [ 4100s] 1542 | double cos(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1543 | { [ 4100s] | ~ [ 4100s] 1544 | double y[2], z = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1545 | int32_t n, ix; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1546 | [ 4100s] | [ 4100s] 1547 | /* High word of x. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1548 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1549 | [ 4100s] | [ 4100s] 1550 | /* |x| ~< pi/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1551 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1552 | if (ix <= 0x3FE921FB) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1553 | return __kernel_cos(x, z); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1554 | } else if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1555 | /* cos(Inf or NaN) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1556 | return x - x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1557 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1558 | /* argument reduction needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1559 | n = __ieee754_rem_pio2(x, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1560 | switch (n & 3) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1561 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 1562 | return __kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1563 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 1564 | return -__kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1565 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 1566 | return -__kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1567 | default: [ 4100s] | ~~~~~~~~ [ 4100s] 1568 | return __kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1569 | } [ 4100s] | ~ [ 4100s] 1570 | } [ 4100s] | ~ [ 4100s] 1571 | } [ 4100s] | ~ [ 4100s] 1572 | [ 4100s] | [ 4100s] 1573 | /* exp(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 1574 | * Returns the exponential of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1575 | * [ 4100s] | ~ [ 4100s] 1576 | * Method [ 4100s] | ~~~~~~~~ [ 4100s] 1577 | * 1. Argument reduction: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1578 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1579 | * Given x, find r and integer k such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1580 | * [ 4100s] | ~ [ 4100s] 1581 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1582 | * [ 4100s] | ~ [ 4100s] 1583 | * Here r will be represented as r = hi-lo for better [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1584 | * accuracy. [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1585 | * [ 4100s] | ~ [ 4100s] 1586 | * 2. Approximation of exp(r) by a special rational function on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1587 | * the interval [0,0.34658]: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1588 | * Write [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1589 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1590 | * We use a special Remes algorithm on [0,0.34658] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1591 | * a polynomial of degree 5 to approximate R. The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1592 | * of this polynomial approximation is bounded by 2**-59. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1593 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1594 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1595 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1596 | * and [ 4100s] | ~~~~~~~~~~ [ 4100s] 1597 | * | 5 | -59 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1598 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1599 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1600 | * The computation of exp(r) thus becomes [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1601 | * 2*r [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1602 | * exp(r) = 1 + ------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1603 | * R - r [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1604 | * r*R1(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1605 | * = 1 + r + ----------- (for better accuracy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1606 | * 2 - R1(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1607 | * where [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1608 | * 2 4 10 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1609 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1610 | * [ 4100s] | ~ [ 4100s] 1611 | * 3. Scale back to obtain exp(x): [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1612 | * From step 1, we have [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1613 | * exp(x) = 2^k * exp(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1614 | * [ 4100s] | ~ [ 4100s] 1615 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1616 | * exp(INF) is INF, exp(NaN) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1617 | * exp(-INF) is 0, and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1618 | * for finite argument, only exp(0)=1 is exact. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1619 | * [ 4100s] | ~ [ 4100s] 1620 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1621 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1622 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1623 | * [ 4100s] | ~ [ 4100s] 1624 | * Misc. info. [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1625 | * For IEEE double [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1626 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1627 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1628 | * [ 4100s] | ~ [ 4100s] 1629 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1630 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1631 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1632 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1633 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1634 | */ [ 4100s] | ~~ [ 4100s] 1635 | double exp(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1636 | { [ 4100s] | ~ [ 4100s] 1637 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1638 | one [ 4100s] | ~~~ [ 4100s] 1639 | = 1.0, [ 4100s] | ~~~~~~ [ 4100s] 1640 | halF[2] = { 0.5, -0.5 }, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1641 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1642 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1643 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1644 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1645 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1646 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1647 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1648 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1649 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1650 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1651 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1652 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1653 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1654 | [ 4100s] | [ 4100s] 1655 | constexpr volatile double [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1656 | huge [ 4100s] | ~~~~ [ 4100s] 1657 | = 1.0e+300, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1658 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1659 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1660 | [ 4100s] | [ 4100s] 1661 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1662 | int32_t k = 0, xsb; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1663 | uint32_t hx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1664 | [ 4100s] | [ 4100s] 1665 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1666 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1667 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1668 | [ 4100s] | [ 4100s] 1669 | /* filter out non-finite argument */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1670 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1671 | if (hx >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1672 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1673 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1674 | if (((hx & 0xFFFFF) | lx) != 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1675 | return x + x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1676 | else [ 4100s] | ~~~~ [ 4100s] 1677 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1678 | } [ 4100s] | ~ [ 4100s] 1679 | if (x > o_threshold) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1680 | return huge * huge; /* overflow */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1681 | if (x < u_threshold) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1682 | return twom1000 * twom1000; /* underflow */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1683 | } [ 4100s] | ~ [ 4100s] 1684 | [ 4100s] | [ 4100s] 1685 | /* argument reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1686 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1687 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1688 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1689 | * value of E, as the computation below would get the last bit [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1690 | * wrong. We should probably fix the algorithm instead. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1691 | */ [ 4100s] | ~~ [ 4100s] 1692 | if (x == 1.0) [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1693 | return E; [ 4100s] | ~~~~~~~~~ [ 4100s] 1694 | hi = x - ln2HI[xsb]; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1695 | lo = ln2LO[xsb]; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1696 | k = 1 - xsb - xsb; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1697 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1698 | k = static_cast(invln2 * x + halF[xsb]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1699 | t = k; [ 4100s] | ~~~~~~ [ 4100s] 1700 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1701 | lo = t * ln2LO[0]; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1702 | } [ 4100s] | ~ [ 4100s] 1703 | STRICT_ASSIGN(double, x, hi - lo); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1704 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1705 | if (huge + x > one) [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1706 | return one + x; /* trigger inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1707 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1708 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 1709 | } [ 4100s] | ~ [ 4100s] 1710 | [ 4100s] | [ 4100s] 1711 | /* x is now in primary range */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1712 | t = x * x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1713 | if (k >= -1021) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1714 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1715 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1716 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1717 | } [ 4100s] | ~ [ 4100s] 1718 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1719 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1720 | return one - ((x * c) / (c - 2.0) - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1721 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1722 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1723 | } [ 4100s] | ~ [ 4100s] 1724 | if (k >= -1021) { [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1725 | if (k == 1024) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 1726 | return y * 2.0 * two1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1727 | return y * twopk; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1728 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1729 | return y * twopk * twom1000; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1730 | } [ 4100s] | ~ [ 4100s] 1731 | } [ 4100s] | ~ [ 4100s] 1732 | [ 4100s] | [ 4100s] 1733 | /* [ 4100s] | ~~ [ 4100s] 1734 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1735 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1736 | * 2.For x>=0.5 [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1737 | * 1 2x x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1738 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1739 | * 2 1 - x 1 - x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1740 | * [ 4100s] | ~ [ 4100s] 1741 | * For x<0.5 [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1742 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1743 | * [ 4100s] | ~ [ 4100s] 1744 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1745 | * atanh(x) is NaN if |x| > 1 with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1746 | * atanh(NaN) is that NaN with no signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1747 | * atanh(+-1) is +-INF with signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1748 | * [ 4100s] | ~ [ 4100s] 1749 | */ [ 4100s] | ~~ [ 4100s] 1750 | double atanh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1751 | { [ 4100s] | ~ [ 4100s] 1752 | constexpr double one = 1.0, huge = 1e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1753 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1754 | [ 4100s] | [ 4100s] 1755 | double t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1756 | int32_t hx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1757 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1758 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1759 | ix = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1760 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1761 | return (x - x) / (x - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1762 | if (ix == 0x3FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1763 | return x / zero; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1764 | if (ix < 0x3E300000 && (huge + x) > zero) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1765 | return x; /* x<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1766 | SET_HIGH_WORD(x, ix); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1767 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1768 | t = x + x; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1769 | t = 0.5 * log1p(t + t * x / (one - x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1770 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1771 | t = 0.5 * log1p((x + x) / (one - x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1772 | } [ 4100s] | ~ [ 4100s] 1773 | if (hx >= 0) [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1774 | return t; [ 4100s] | ~~~~~~~~~ [ 4100s] 1775 | else [ 4100s] | ~~~~ [ 4100s] 1776 | return -t; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1777 | } [ 4100s] | ~ [ 4100s] 1778 | [ 4100s] | [ 4100s] 1779 | /* log(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 1780 | * Return the logrithm of x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1781 | * [ 4100s] | ~ [ 4100s] 1782 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1783 | * 1. Argument Reduction: find k and f such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1784 | * x = 2^k * (1+f), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1785 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1786 | * [ 4100s] | ~ [ 4100s] 1787 | * 2. Approximation of log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1788 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1789 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1790 | * = 2s + s*R [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1791 | * We use a special Reme algorithm on [0,0.1716] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1792 | * a polynomial of degree 14 to approximate R The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1793 | * of this polynomial approximation is bounded by 2**-58.45. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1794 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1795 | * 2 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1796 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1797 | * (the values of Lg1 to Lg7 are listed in the program) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1798 | * and [ 4100s] | ~~~~~~ [ 4100s] 1799 | * | 2 14 | -58.45 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1800 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1801 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1802 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1803 | * In order to guarantee error in log below 1ulp, we compute log [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1804 | * by [ 4100s] | ~~~~~ [ 4100s] 1805 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1806 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1807 | * [ 4100s] | ~ [ 4100s] 1808 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1809 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1810 | * Here ln2 is split into two floating point number: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1811 | * ln2_hi + ln2_lo, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1812 | * where n*ln2_hi is always exact for |n| < 2000. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1813 | * [ 4100s] | ~ [ 4100s] 1814 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1815 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1816 | * log(+INF) is +INF; log(0) is -INF with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1817 | * log(NaN) is that NaN with no signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1818 | * [ 4100s] | ~ [ 4100s] 1819 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1820 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1821 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1822 | * [ 4100s] | ~ [ 4100s] 1823 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1824 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1825 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1826 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1827 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1828 | */ [ 4100s] | ~~ [ 4100s] 1829 | double log(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1830 | { [ 4100s] | ~ [ 4100s] 1831 | constexpr double /* -- */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1832 | ln2_hi [ 4100s] | ~~~~~~ [ 4100s] 1833 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1834 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1835 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1836 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1837 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1838 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1839 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1840 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1841 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1842 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1843 | [ 4100s] | [ 4100s] 1844 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1845 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1846 | [ 4100s] | [ 4100s] 1847 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1848 | int32_t k, hx, i, j; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1849 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1850 | [ 4100s] | [ 4100s] 1851 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1852 | [ 4100s] | [ 4100s] 1853 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 1854 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1855 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1856 | return -two54 / vzero; /* log(+-0)=-inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1857 | if (hx < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1858 | return (x - x) / zero; /* log(-#) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1859 | k -= 54; [ 4100s] | ~~~~~~~~ [ 4100s] 1860 | x *= two54; /* subnormal number, scale up x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1861 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1862 | } [ 4100s] | ~ [ 4100s] 1863 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1864 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1865 | k += (hx >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1866 | hx &= 0x000FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1867 | i = (hx + 0x95F64) & 0x100000; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1868 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1869 | k += (i >> 20); [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1870 | f = x - 1.0; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1871 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1872 | if (f == zero) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1873 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1874 | return zero; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1875 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1876 | dk = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1877 | return dk * ln2_hi + dk * ln2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1878 | } [ 4100s] | ~ [ 4100s] 1879 | } [ 4100s] | ~ [ 4100s] 1880 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1881 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1882 | return f - R; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1883 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1884 | dk = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1885 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1886 | } [ 4100s] | ~ [ 4100s] 1887 | } [ 4100s] | ~ [ 4100s] 1888 | s = f / (2.0 + f); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 1889 | dk = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1890 | z = s * s; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1891 | i = hx - 0x6147A; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1892 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 1893 | j = 0x6B851 - hx; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 1894 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1895 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1896 | i |= j; [ 4100s] | ~~~~~~~ [ 4100s] 1897 | R = t2 + t1; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1898 | if (i > 0) { [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1899 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 1900 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1901 | return f - (hfsq - s * (hfsq + R)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1902 | else [ 4100s] | ~~~~ [ 4100s] 1903 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1904 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 1905 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1906 | return f - s * (f - R); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1907 | else [ 4100s] | ~~~~ [ 4100s] 1908 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1909 | } [ 4100s] | ~ [ 4100s] 1910 | } [ 4100s] | ~ [ 4100s] 1911 | [ 4100s] | [ 4100s] 1912 | /* double log1p(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1913 | * [ 4100s] | ~ [ 4100s] 1914 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 1915 | * 1. Argument Reduction: find k and f such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1916 | * 1+x = 2^k * (1+f), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1917 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1918 | * [ 4100s] | ~ [ 4100s] 1919 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1920 | * may not be representable exactly. In that case, a correction [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1921 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1922 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1923 | * and add back the correction term c/u. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1924 | * (Note: when x > 2**53, one can simply return log(x)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1925 | * [ 4100s] | ~ [ 4100s] 1926 | * 2. Approximation of log1p(f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1927 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1928 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1929 | * = 2s + s*R [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1930 | * We use a special Reme algorithm on [0,0.1716] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1931 | * a polynomial of degree 14 to approximate R The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1932 | * of this polynomial approximation is bounded by 2**-58.45. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1933 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 1934 | * 2 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1935 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1936 | * (the values of Lp1 to Lp7 are listed in the program) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1937 | * and [ 4100s] | ~~~~~~ [ 4100s] 1938 | * | 2 14 | -58.45 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1939 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1940 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1941 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1942 | * In order to guarantee error in log below 1ulp, we compute log [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1943 | * by [ 4100s] | ~~~~~ [ 4100s] 1944 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1945 | * [ 4100s] | ~ [ 4100s] 1946 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1947 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1948 | * Here ln2 is split into two floating point number: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1949 | * ln2_hi + ln2_lo, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1950 | * where n*ln2_hi is always exact for |n| < 2000. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1951 | * [ 4100s] | ~ [ 4100s] 1952 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 1953 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1954 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1955 | * log1p(NaN) is that NaN with no signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1956 | * [ 4100s] | ~ [ 4100s] 1957 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 1958 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1959 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1960 | * [ 4100s] | ~ [ 4100s] 1961 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 1962 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1963 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1964 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1965 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1966 | * [ 4100s] | ~ [ 4100s] 1967 | * Note: Assuming log() return accurate answer, the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1968 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1969 | * [ 4100s] | ~ [ 4100s] 1970 | * u = 1+x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 1971 | * if(u==1.0) return x ; else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1972 | * return log(u)*(x/(u-1.0)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1973 | * [ 4100s] | ~ [ 4100s] 1974 | * See HP-15C Advanced Functions Handbook, p.193. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1975 | */ [ 4100s] | ~~ [ 4100s] 1976 | double log1p(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1977 | { [ 4100s] | ~ [ 4100s] 1978 | constexpr double /* -- */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1979 | ln2_hi [ 4100s] | ~~~~~~ [ 4100s] 1980 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1981 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1982 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1983 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1984 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1985 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1986 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1987 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1988 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1989 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1990 | [ 4100s] | [ 4100s] 1991 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1992 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1993 | [ 4100s] | [ 4100s] 1994 | double hfsq, f, c, s, z, R, u; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1995 | int32_t k, hx, hu, ax; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1996 | [ 4100s] | [ 4100s] 1997 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1998 | ax = hx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 1999 | [ 4100s] | [ 4100s] 2000 | c = 0; [ 4100s] | ~~~~~~ [ 4100s] 2001 | k = 1; [ 4100s] | ~~~~~~ [ 4100s] 2002 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2003 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2004 | if (x == -1.0) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2005 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2006 | else [ 4100s] | ~~~~ [ 4100s] 2007 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2008 | } [ 4100s] | ~ [ 4100s] 2009 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2010 | if (two54 + x > zero /* raise inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2011 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2012 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 2013 | else [ 4100s] | ~~~~ [ 4100s] 2014 | return x - x * x * 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2015 | } [ 4100s] | ~ [ 4100s] 2016 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2017 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2018 | f = x; [ 4100s] | ~~~~~~ [ 4100s] 2019 | hu = 1; [ 4100s] | ~~~~~~~ [ 4100s] 2020 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2021 | } [ 4100s] | ~ [ 4100s] 2022 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2023 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2024 | if (k != 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2025 | if (hx < 0x43400000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2026 | STRICT_ASSIGN(double, u, 1.0 + x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2027 | GET_HIGH_WORD(hu, u); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2028 | k = (hu >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2029 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2030 | c /= u; [ 4100s] | ~~~~~~~ [ 4100s] 2031 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2032 | u = x; [ 4100s] | ~~~~~~ [ 4100s] 2033 | GET_HIGH_WORD(hu, u); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2034 | k = (hu >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2035 | c = 0; [ 4100s] | ~~~~~~ [ 4100s] 2036 | } [ 4100s] | ~ [ 4100s] 2037 | hu &= 0x000FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2038 | /* [ 4100s] | ~~ [ 4100s] 2039 | * The approximation to sqrt(2) used in thresholds is not [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2040 | * critical. However, the ones used above must give less [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2041 | * strict bounds than the one here so that the k==0 case is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2042 | * never reached from here, since here we have committed to [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2043 | * using the correction term but don't use it if k==0. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2044 | */ [ 4100s] | ~~ [ 4100s] 2045 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2046 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2047 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2048 | k += 1; [ 4100s] | ~~~~~~~ [ 4100s] 2049 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2050 | hu = (0x00100000 - hu) >> 2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2051 | } [ 4100s] | ~ [ 4100s] 2052 | f = u - 1.0; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2053 | } [ 4100s] | ~ [ 4100s] 2054 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2055 | if (hu == 0) { /* |f| < 2**-20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2056 | if (f == zero) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2057 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2058 | return zero; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2059 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2060 | c += k * ln2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2061 | return k * ln2_hi + c; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2062 | } [ 4100s] | ~ [ 4100s] 2063 | } [ 4100s] | ~ [ 4100s] 2064 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2065 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2066 | return f - R; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2067 | else [ 4100s] | ~~~~ [ 4100s] 2068 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2069 | } [ 4100s] | ~ [ 4100s] 2070 | s = f / (2.0 + f); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2071 | z = s * s; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2072 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2073 | if (k == 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2074 | return f - (hfsq - s * (hfsq + R)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2075 | else [ 4100s] | ~~~~ [ 4100s] 2076 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2077 | } [ 4100s] | ~ [ 4100s] 2078 | [ 4100s] | [ 4100s] 2079 | /* [ 4100s] | ~~ [ 4100s] 2080 | * k_log1p(f): [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2081 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2082 | * [ 4100s] | ~ [ 4100s] 2083 | * The following describes the overall strategy for computing [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2084 | * logarithms in base e. The argument reduction and adding the final [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2085 | * term of the polynomial are done by the caller for increased accuracy [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2086 | * when different bases are used. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2087 | * [ 4100s] | ~ [ 4100s] 2088 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2089 | * 1. Argument Reduction: find k and f such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2090 | * x = 2^k * (1+f), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2091 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2092 | * [ 4100s] | ~ [ 4100s] 2093 | * 2. Approximation of log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2094 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2095 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2096 | * = 2s + s*R [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2097 | * We use a special Reme algorithm on [0,0.1716] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2098 | * a polynomial of degree 14 to approximate R The maximum error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2099 | * of this polynomial approximation is bounded by 2**-58.45. In [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2100 | * other words, [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2101 | * 2 4 6 8 10 12 14 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2102 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2103 | * (the values of Lg1 to Lg7 are listed in the program) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2104 | * and [ 4100s] | ~~~~~~~~~~ [ 4100s] 2105 | * | 2 14 | -58.45 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2106 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2107 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2108 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2109 | * In order to guarantee error in log below 1ulp, we compute log [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2110 | * by [ 4100s] | ~~~~~~~~~ [ 4100s] 2111 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2112 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2113 | * [ 4100s] | ~ [ 4100s] 2114 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2115 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2116 | * Here ln2 is split into two floating point number: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2117 | * ln2_hi + ln2_lo, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2118 | * where n*ln2_hi is always exact for |n| < 2000. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2119 | * [ 4100s] | ~ [ 4100s] 2120 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2121 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2122 | * log(+INF) is +INF; log(0) is -INF with signal; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2123 | * log(NaN) is that NaN with no signal. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2124 | * [ 4100s] | ~ [ 4100s] 2125 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2126 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2127 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2128 | * [ 4100s] | ~ [ 4100s] 2129 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2130 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2131 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2132 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2133 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2134 | */ [ 4100s] | ~~ [ 4100s] 2135 | [ 4100s] | [ 4100s] 2136 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2137 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2138 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2139 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2140 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2141 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2142 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2143 | [ 4100s] | [ 4100s] 2144 | /* [ 4100s] | ~~ [ 4100s] 2145 | * We always inline k_log1p(), since doing so produces a [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2146 | * substantial performance improvement (~40% on amd64). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2147 | */ [ 4100s] | ~~ [ 4100s] 2148 | static inline double k_log1p(double f) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2149 | { [ 4100s] | ~ [ 4100s] 2150 | double hfsq, s, z, R, w, t1, t2; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2151 | [ 4100s] | [ 4100s] 2152 | s = f / (2.0 + f); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2153 | z = s * s; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2154 | w = z * z; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2155 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2156 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2157 | R = t2 + t1; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2158 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2159 | return s * (hfsq + R); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2160 | } [ 4100s] | ~ [ 4100s] 2161 | [ 4100s] | [ 4100s] 2162 | /* [ 4100s] | ~~ [ 4100s] 2163 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2164 | * comments. [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2165 | * [ 4100s] | ~ [ 4100s] 2166 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2167 | * then does the combining and scaling steps [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2168 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2169 | * in not-quite-routine extra precision. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2170 | */ [ 4100s] | ~~ [ 4100s] 2171 | double log2(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2172 | { [ 4100s] | ~ [ 4100s] 2173 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2174 | two54 [ 4100s] | ~~~~~ [ 4100s] 2175 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2176 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2177 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2178 | [ 4100s] | [ 4100s] 2179 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2180 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2181 | [ 4100s] | [ 4100s] 2182 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2183 | int32_t i, k, hx; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2184 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2185 | [ 4100s] | [ 4100s] 2186 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2187 | [ 4100s] | [ 4100s] 2188 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2189 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2190 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2191 | return -two54 / vzero; /* log(+-0)=-inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2192 | if (hx < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2193 | return (x - x) / zero; /* log(-#) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2194 | k -= 54; [ 4100s] | ~~~~~~~~ [ 4100s] 2195 | x *= two54; /* subnormal number, scale up x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2196 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2197 | } [ 4100s] | ~ [ 4100s] 2198 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2199 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2200 | if (hx == 0x3FF00000 && lx == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2201 | return zero; /* log(1) = +0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2202 | k += (hx >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2203 | hx &= 0x000FFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2204 | i = (hx + 0x95F64) & 0x100000; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2205 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2206 | k += (i >> 20); [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2207 | y = static_cast(k); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2208 | f = x - 1.0; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2209 | hfsq = 0.5 * f * f; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2210 | r = k_log1p(f); [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2211 | [ 4100s] | [ 4100s] 2212 | /* [ 4100s] | ~~ [ 4100s] 2213 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2214 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2215 | * This is fairly efficient since f-hfsq only depends on f, so can [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2216 | * be evaluated in parallel with R. Not combining hfsq with R also [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2217 | * keeps R small (though not as small as a true `lo' term would be), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2218 | * so that extra precision is not needed for terms involving R. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2219 | * [ 4100s] | ~ [ 4100s] 2220 | * Compiler bugs involving extra precision used to break Dekker's [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2221 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2222 | * or the multi-precision calculations were avoided when double_t [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2223 | * has extra precision. These problems are now automatically [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2224 | * avoided as a side effect of the optimization of combining the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2225 | * Dekker splitting step with the clear-low-bits step. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2226 | * [ 4100s] | ~ [ 4100s] 2227 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2228 | * precision to avoid a very large cancellation when x is very near [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2229 | * these values. Unlike the above cancellations, this problem is [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2230 | * specific to base 2. It is strange that adding +-1 is so much [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2231 | * harder than adding +-ln2 or +-log10_2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2232 | * [ 4100s] | ~ [ 4100s] 2233 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2234 | * compiler bugs are back in some configurations, sigh. And I [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2235 | * don't want to used double_t to avoid them, since that gives a [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2236 | * pessimization and the support for avoiding the pessimization [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2237 | * is not yet available. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2238 | * [ 4100s] | ~ [ 4100s] 2239 | * The multi-precision calculations for the multiplications are [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2240 | * routine. [ 4100s] | ~~~~~~~~~~ [ 4100s] 2241 | */ [ 4100s] | ~~ [ 4100s] 2242 | hi = f - hfsq; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2243 | SET_LOW_WORD(hi, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2244 | lo = (f - hi) - hfsq + r; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2245 | val_hi = hi * ivln2hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2246 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2247 | [ 4100s] | [ 4100s] 2248 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2249 | w = y + val_hi; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2250 | val_lo += (y - w) + val_hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2251 | val_hi = w; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2252 | [ 4100s] | [ 4100s] 2253 | return val_lo + val_hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2254 | } [ 4100s] | ~ [ 4100s] 2255 | [ 4100s] | [ 4100s] 2256 | /* [ 4100s] | ~~ [ 4100s] 2257 | * Return the base 10 logarithm of x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2258 | * [ 4100s] | ~ [ 4100s] 2259 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2260 | * Let log10_2hi = leading 40 bits of log10(2) and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2261 | * log10_2lo = log10(2) - log10_2hi, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2262 | * ivln10 = 1/log(10) rounded. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2263 | * Then [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2264 | * n = ilogb(x), [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2265 | * if(n<0) n = n+1; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2266 | * x = scalbn(x,-n); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2267 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2268 | * [ 4100s] | ~ [ 4100s] 2269 | * Note 1: [ 4100s] | ~~~~~~~~~~ [ 4100s] 2270 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2271 | * mode must set to Round-to-Nearest. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2272 | * Note 2: [ 4100s] | ~~~~~~~~~~ [ 4100s] 2273 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2274 | * log10 is monotonic at all binary break points. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2275 | * [ 4100s] | ~ [ 4100s] 2276 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2277 | * log10(x) is NaN if x < 0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2278 | * log10(+INF) is +INF; log10(0) is -INF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2279 | * log10(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2280 | * log10(10**N) = N for N=0,1,...,22. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2281 | */ [ 4100s] | ~~ [ 4100s] 2282 | double log10(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2283 | { [ 4100s] | ~ [ 4100s] 2284 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2285 | two54 [ 4100s] | ~~~~~ [ 4100s] 2286 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2287 | ivln10 = 4.34294481903251816668e-01, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2288 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2289 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2290 | [ 4100s] | [ 4100s] 2291 | constexpr double zero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2292 | constexpr volatile double vzero = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2293 | [ 4100s] | [ 4100s] 2294 | double y; [ 4100s] | ~~~~~~~~~ [ 4100s] 2295 | int32_t i, k, hx; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2296 | uint32_t lx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2297 | [ 4100s] | [ 4100s] 2298 | EXTRACT_WORDS(hx, lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2299 | [ 4100s] | [ 4100s] 2300 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2301 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2302 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2303 | return -two54 / vzero; /* log(+-0)=-inf */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2304 | if (hx < 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2305 | return (x - x) / zero; /* log(-#) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2306 | k -= 54; [ 4100s] | ~~~~~~~~ [ 4100s] 2307 | x *= two54; /* subnormal number, scale up x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2308 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2309 | GET_LOW_WORD(lx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2310 | } [ 4100s] | ~ [ 4100s] 2311 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2312 | return x + x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2313 | if (hx == 0x3FF00000 && lx == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2314 | return zero; /* log(1) = +0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2315 | k += (hx >> 20) - 1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2316 | [ 4100s] | [ 4100s] 2317 | i = (k & 0x80000000) >> 31; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2318 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2319 | y = k + i; [ 4100s] | ~~~~~~~~~~ [ 4100s] 2320 | SET_HIGH_WORD(x, hx); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2321 | SET_LOW_WORD(x, lx); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2322 | [ 4100s] | [ 4100s] 2323 | double z = y * log10_2lo + ivln10 * log(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2324 | return z + y * log10_2hi; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2325 | } [ 4100s] | ~ [ 4100s] 2326 | [ 4100s] | [ 4100s] 2327 | /* expm1(x) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2328 | * Returns exp(x)-1, the exponential of x minus 1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2329 | * [ 4100s] | ~ [ 4100s] 2330 | * Method [ 4100s] | ~~~~~~~~ [ 4100s] 2331 | * 1. Argument reduction: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2332 | * Given x, find r and integer k such that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2333 | * [ 4100s] | ~ [ 4100s] 2334 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2335 | * [ 4100s] | ~ [ 4100s] 2336 | * Here a correction term c will be computed to compensate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2337 | * the error in r when rounded to a floating-point number. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2338 | * [ 4100s] | ~ [ 4100s] 2339 | * 2. Approximating expm1(r) by a special rational function on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2340 | * the interval [0,0.34658]: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2341 | * Since [ 4100s] | ~~~~~~~~ [ 4100s] 2342 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2343 | * we define R1(r*r) by [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2344 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2345 | * That is, [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2346 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2347 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2348 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2349 | * We use a special Reme algorithm on [0,0.347] to generate [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2350 | * a polynomial of degree 5 in r*r to approximate R1. The [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2351 | * maximum error of this polynomial approximation is bounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2352 | * by 2**-61. In other words, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2353 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2354 | * where Q1 = -1.6666666666666567384E-2, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2355 | * Q2 = 3.9682539681370365873E-4, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2356 | * Q3 = -9.9206344733435987357E-6, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2357 | * Q4 = 2.5051361420808517002E-7, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2358 | * Q5 = -6.2843505682382617102E-9; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2359 | * z = r*r, [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2360 | * with error bounded by [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2361 | * | 5 | -61 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2362 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2363 | * | | [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2364 | * [ 4100s] | ~ [ 4100s] 2365 | * expm1(r) = exp(r)-1 is then computed by the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2366 | * specific way which minimize the accumulation rounding error: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2367 | * 2 3 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2368 | * r r [ 3 - (R1 + R1*r/2) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2369 | * expm1(r) = r + --- + --- * [--------------------] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2370 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2371 | * [ 4100s] | ~ [ 4100s] 2372 | * To compensate the error in the argument reduction, we use [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2373 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2374 | * ~ expm1(r) + c + r*c [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2375 | * Thus c+r*c will be added in as the correction terms for [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2376 | * expm1(r+c). Now rearrange the term to avoid optimization [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2377 | * screw up: [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2378 | * ( 2 2 ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2379 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2380 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2381 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2382 | * ( ) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2383 | * [ 4100s] | ~ [ 4100s] 2384 | * = r - E [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2385 | * 3. Scale back to obtain expm1(x): [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2386 | * From step 1, we have [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2387 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2388 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2389 | * 4. Implementation notes: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2390 | * (A). To save one multiplication, we scale the coefficient Qi [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2391 | * to Qi*2^i, and replace z by (x^2)/2. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2392 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2393 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2394 | * (ii) if k=0, return r-E [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2395 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2396 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2397 | * else return 1.0+2.0*(r-E); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2398 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2399 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2400 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2401 | * [ 4100s] | ~ [ 4100s] 2402 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2403 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2404 | * expm1(-INF) is -1, and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2405 | * for finite argument, only expm1(0)=0 is exact. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2406 | * [ 4100s] | ~ [ 4100s] 2407 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2408 | * according to an error analysis, the error is always less than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2409 | * 1 ulp (unit in the last place). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2410 | * [ 4100s] | ~ [ 4100s] 2411 | * Misc. info. [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2412 | * For IEEE double [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2413 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2414 | * [ 4100s] | ~ [ 4100s] 2415 | * Constants: [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2416 | * The hexadecimal values are the intended ones for the following [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2417 | * constants. The decimal values may be used, provided that the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2418 | * compiler will convert from decimal to binary accurately enough [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2419 | * to produce the hexadecimal values shown. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2420 | */ [ 4100s] | ~~ [ 4100s] 2421 | double expm1(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2422 | { [ 4100s] | ~ [ 4100s] 2423 | constexpr double [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2424 | one [ 4100s] | ~~~ [ 4100s] 2425 | = 1.0, [ 4100s] | ~~~~~~ [ 4100s] 2426 | tiny = 1.0e-300, [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2427 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2428 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2429 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2430 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2431 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2432 | x*x/2: */ [ 4100s] | ~~~~~~~~~ [ 4100s] 2433 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2434 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2435 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2436 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2437 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2438 | [ 4100s] | [ 4100s] 2439 | constexpr volatile double huge = 1.0e+300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2440 | [ 4100s] | [ 4100s] 2441 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2442 | int32_t k, xsb; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2443 | uint32_t hx; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2444 | [ 4100s] | [ 4100s] 2445 | GET_HIGH_WORD(hx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2446 | xsb = hx & 0x80000000; /* sign bit of x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2447 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2448 | [ 4100s] | [ 4100s] 2449 | /* filter out huge and non-finite argument */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2450 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2451 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2452 | if (hx >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2453 | uint32_t low; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2454 | GET_LOW_WORD(low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2455 | if (((hx & 0xFFFFF) | low) != 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2456 | return x + x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2457 | else [ 4100s] | ~~~~ [ 4100s] 2458 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2459 | } [ 4100s] | ~ [ 4100s] 2460 | if (x > o_threshold) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2461 | return huge * huge; /* overflow */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2462 | } [ 4100s] | ~ [ 4100s] 2463 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2464 | /* raise inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2465 | return tiny - one; /* return -1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2466 | } [ 4100s] | ~ [ 4100s] 2467 | } [ 4100s] | ~ [ 4100s] 2468 | [ 4100s] | [ 4100s] 2469 | /* argument reduction */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2470 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2471 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2472 | if (xsb == 0) { [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2473 | hi = x - ln2_hi; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2474 | lo = ln2_lo; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2475 | k = 1; [ 4100s] | ~~~~~~ [ 4100s] 2476 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2477 | hi = x + ln2_hi; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2478 | lo = -ln2_lo; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2479 | k = -1; [ 4100s] | ~~~~~~~ [ 4100s] 2480 | } [ 4100s] | ~ [ 4100s] 2481 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2482 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2483 | t = k; [ 4100s] | ~~~~~~ [ 4100s] 2484 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2485 | lo = t * ln2_lo; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2486 | } [ 4100s] | ~ [ 4100s] 2487 | STRICT_ASSIGN(double, x, hi - lo); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2488 | c = (hi - x) - lo; [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2489 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2490 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2491 | return x - (t - (huge + x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2492 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2493 | k = 0; [ 4100s] | ~~~~~~ [ 4100s] 2494 | } [ 4100s] | ~ [ 4100s] 2495 | [ 4100s] | [ 4100s] 2496 | /* x is now in primary range */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2497 | hfx = 0.5 * x; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2498 | hxs = x * hfx; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2499 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2500 | t = 3.0 - r1 * hfx; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2501 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2502 | if (k == 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2503 | return x - (x * e - hxs); /* c is 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2504 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2505 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2506 | e = (x * (e - c) - c); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2507 | e -= hxs; [ 4100s] | ~~~~~~~~~ [ 4100s] 2508 | if (k == -1) [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2509 | return 0.5 * (x - e) - 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2510 | if (k == 1) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2511 | if (x < -0.25) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2512 | return -2.0 * (e - (x + 0.5)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2513 | else [ 4100s] | ~~~~ [ 4100s] 2514 | return one + 2.0 * (x - e); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2515 | } [ 4100s] | ~ [ 4100s] 2516 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2517 | y = one - (e - x); [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2518 | // TODO(mvstanton): is this replacement for the hex float [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2519 | // sufficient? [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2520 | // if (k == 1024) y = y*2.0*0x1p1023; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2521 | if (k == 1024) [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2522 | y = y * 2.0 * 8.98846567431158e+307; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2523 | else [ 4100s] | ~~~~ [ 4100s] 2524 | y = y * twopk; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2525 | return y - one; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2526 | } [ 4100s] | ~ [ 4100s] 2527 | t = one; [ 4100s] | ~~~~~~~~ [ 4100s] 2528 | if (k < 20) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2529 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2530 | y = t - (e - x); [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2531 | y = y * twopk; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2532 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2533 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2534 | y = x - (e + t); [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2535 | y += one; [ 4100s] | ~~~~~~~~~ [ 4100s] 2536 | y = y * twopk; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2537 | } [ 4100s] | ~ [ 4100s] 2538 | } [ 4100s] | ~ [ 4100s] 2539 | return y; [ 4100s] | ~~~~~~~~~ [ 4100s] 2540 | } [ 4100s] | ~ [ 4100s] 2541 | [ 4100s] | [ 4100s] 2542 | double cbrt(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2543 | { [ 4100s] | ~ [ 4100s] 2544 | constexpr uint32_t [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2545 | B1 [ 4100s] | ~~ [ 4100s] 2546 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2547 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2548 | [ 4100s] | [ 4100s] 2549 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2550 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2551 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2552 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2553 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2554 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2555 | [ 4100s] | [ 4100s] 2556 | int32_t hx; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2557 | union { [ 4100s] | ~~~~~~~ [ 4100s] 2558 | double value; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2559 | uint64_t bits; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2560 | } u; [ 4100s] | ~~~~ [ 4100s] 2561 | double r, s, t = 0.0, w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2562 | uint32_t sign; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2563 | uint32_t high, low; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2564 | [ 4100s] | [ 4100s] 2565 | EXTRACT_WORDS(hx, low, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2566 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2567 | hx ^= sign; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2568 | if (hx >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2569 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2570 | [ 4100s] | [ 4100s] 2571 | /* [ 4100s] | ~~ [ 4100s] 2572 | * Rough cbrt to 5 bits: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2573 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2574 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2575 | * "%" are integer division and modulus with rounding towards minus [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2576 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2577 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2578 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2579 | * floating point representation, for finite positive normal values, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2580 | * ordinary integer division of the value in bits magically gives [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2581 | * almost exactly the RHS of the above provided we first subtract the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2582 | * exponent bias (1023 for doubles) and later add it back. We do the [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2583 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2584 | * division rounds towards minus infinity; this is also efficient. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2585 | */ [ 4100s] | ~~ [ 4100s] 2586 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2587 | if ((hx | low) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2588 | return (x); /* cbrt(0) is itself */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2589 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2590 | t *= x; [ 4100s] | ~~~~~~~ [ 4100s] 2591 | GET_HIGH_WORD(high, t); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2592 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2593 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2594 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2595 | } [ 4100s] | ~ [ 4100s] 2596 | [ 4100s] | [ 4100s] 2597 | /* [ 4100s] | ~~ [ 4100s] 2598 | * New cbrt to 23 bits: [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2599 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2600 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2601 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2602 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2603 | * gives us bounds for r = t**3/x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2604 | * [ 4100s] | ~ [ 4100s] 2605 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2606 | */ [ 4100s] | ~~ [ 4100s] 2607 | r = (t * t) * (t / x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2608 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2609 | [ 4100s] | [ 4100s] 2610 | /* [ 4100s] | ~~ [ 4100s] 2611 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2612 | * the result is larger in magnitude than cbrt(x) but not much more than [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2613 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2614 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2615 | * in the rounded t, the infinite-precision error in the Newton [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2616 | * approximation barely affects third digit in the final error [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2617 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2618 | * before the final error is larger than 0.667 ulps. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2619 | */ [ 4100s] | ~~ [ 4100s] 2620 | u.value = t; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2621 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2622 | t = u.value; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2623 | [ 4100s] | [ 4100s] 2624 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2625 | s = t * t; /* t*t is exact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2626 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2627 | w = t + t; /* t+t is exact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2628 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2629 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2630 | [ 4100s] | [ 4100s] 2631 | return (t); [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2632 | } [ 4100s] | ~ [ 4100s] 2633 | [ 4100s] | [ 4100s] 2634 | /* sin(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 2635 | * Return sine function of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2636 | * [ 4100s] | ~ [ 4100s] 2637 | * kernel function: [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2638 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2639 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2640 | * __ieee754_rem_pio2 ... argument reduction routine [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2641 | * [ 4100s] | ~ [ 4100s] 2642 | * Method. [ 4100s] | ~~~~~~~~~ [ 4100s] 2643 | * Let S,C and T denote the sin, cos and tan respectively on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2644 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2645 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2646 | * We have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2647 | * [ 4100s] | ~ [ 4100s] 2648 | * n sin(x) cos(x) tan(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2649 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2650 | * 0 S C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2651 | * 1 C -S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2652 | * 2 -S -C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2653 | * 3 -C S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2654 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2655 | * [ 4100s] | ~ [ 4100s] 2656 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2657 | * Let trig be any of sin, cos, or tan. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2658 | * trig(+-INF) is NaN, with signals; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2659 | * trig(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2660 | * [ 4100s] | ~ [ 4100s] 2661 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2662 | * TRIG(x) returns trig(x) nearly rounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2663 | */ [ 4100s] | ~~ [ 4100s] 2664 | double sin(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2665 | { [ 4100s] | ~ [ 4100s] 2666 | double y[2], z = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2667 | int32_t n, ix; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2668 | [ 4100s] | [ 4100s] 2669 | /* High word of x. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2670 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2671 | [ 4100s] | [ 4100s] 2672 | /* |x| ~< pi/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2673 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2674 | if (ix <= 0x3FE921FB) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2675 | return __kernel_sin(x, z, 0); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2676 | } else if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2677 | /* sin(Inf or NaN) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2678 | return x - x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2679 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2680 | /* argument reduction needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2681 | n = __ieee754_rem_pio2(x, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2682 | switch (n & 3) { [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2683 | case 0: [ 4100s] | ~~~~~~~ [ 4100s] 2684 | return __kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2685 | case 1: [ 4100s] | ~~~~~~~ [ 4100s] 2686 | return __kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2687 | case 2: [ 4100s] | ~~~~~~~ [ 4100s] 2688 | return -__kernel_sin(y[0], y[1], 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2689 | default: [ 4100s] | ~~~~~~~~ [ 4100s] 2690 | return -__kernel_cos(y[0], y[1]); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2691 | } [ 4100s] | ~ [ 4100s] 2692 | } [ 4100s] | ~ [ 4100s] 2693 | } [ 4100s] | ~ [ 4100s] 2694 | [ 4100s] | [ 4100s] 2695 | /* tan(x) [ 4100s] | ~~~~~~~~~ [ 4100s] 2696 | * Return tangent function of x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2697 | * [ 4100s] | ~ [ 4100s] 2698 | * kernel function: [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2699 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2700 | * __ieee754_rem_pio2 ... argument reduction routine [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2701 | * [ 4100s] | ~ [ 4100s] 2702 | * Method. [ 4100s] | ~~~~~~~~~ [ 4100s] 2703 | * Let S,C and T denote the sin, cos and tan respectively on [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2704 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2705 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2706 | * We have [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2707 | * [ 4100s] | ~ [ 4100s] 2708 | * n sin(x) cos(x) tan(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2709 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2710 | * 0 S C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2711 | * 1 C -S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2712 | * 2 -S -C T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2713 | * 3 -C S -1/T [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2714 | * ---------------------------------------------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2715 | * [ 4100s] | ~ [ 4100s] 2716 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2717 | * Let trig be any of sin, cos, or tan. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2718 | * trig(+-INF) is NaN, with signals; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2719 | * trig(NaN) is that NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2720 | * [ 4100s] | ~ [ 4100s] 2721 | * Accuracy: [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2722 | * TRIG(x) returns trig(x) nearly rounded [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2723 | */ [ 4100s] | ~~ [ 4100s] 2724 | double tan(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2725 | { [ 4100s] | ~ [ 4100s] 2726 | double y[2], z = 0.0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2727 | int32_t n, ix; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2728 | [ 4100s] | [ 4100s] 2729 | /* High word of x. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2730 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2731 | [ 4100s] | [ 4100s] 2732 | /* |x| ~< pi/4 */ [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2733 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2734 | if (ix <= 0x3FE921FB) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2735 | return __kernel_tan(x, z, 1); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2736 | } else if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2737 | /* tan(Inf or NaN) is NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2738 | return x - x; /* NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2739 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2740 | /* argument reduction needed */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2741 | n = __ieee754_rem_pio2(x, y); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2742 | /* 1 -> n even, -1 -> n odd */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2743 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2744 | } [ 4100s] | ~ [ 4100s] 2745 | } [ 4100s] | ~ [ 4100s] 2746 | [ 4100s] | [ 4100s] 2747 | /* [ 4100s] | ~~ [ 4100s] 2748 | * ES6 draft 09-27-13, section 20.2.2.12. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2749 | * Math.cosh [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2750 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2751 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2752 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2753 | * 2. [ 4100s] | ~~~~~~~~~ [ 4100s] 2754 | * [ exp(x) - 1 ]^2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2755 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2756 | * 2*exp(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2757 | * [ 4100s] | ~ [ 4100s] 2758 | * exp(x) + 1/exp(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2759 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2760 | * 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2761 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2762 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2763 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2764 | * [ 4100s] | ~ [ 4100s] 2765 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2766 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2767 | * only cosh(0)=1 is exact for finite x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2768 | */ [ 4100s] | ~~ [ 4100s] 2769 | double cosh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2770 | { [ 4100s] | ~ [ 4100s] 2771 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2772 | constexpr double one = 1.0, half = 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2773 | constexpr volatile double huge = 1.0e+300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2774 | [ 4100s] | [ 4100s] 2775 | int32_t ix; [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2776 | [ 4100s] | [ 4100s] 2777 | /* High word of |x|. */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2778 | GET_HIGH_WORD(ix, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2779 | ix &= 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2780 | [ 4100s] | [ 4100s] 2781 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2782 | if (ix < 0x3FD62E43) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2783 | double t = expm1(fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2784 | double w = one + t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2785 | // For |x| < 2^-55, cosh(x) = 1 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2786 | if (ix < 0x3C800000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2787 | return w; [ 4100s] | ~~~~~~~~~ [ 4100s] 2788 | return one + (t * t) / (w + w); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2789 | } [ 4100s] | ~ [ 4100s] 2790 | [ 4100s] | [ 4100s] 2791 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2792 | if (ix < 0x40360000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2793 | double t = exp(fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2794 | return half * t + half / t; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2795 | } [ 4100s] | ~ [ 4100s] 2796 | [ 4100s] | [ 4100s] 2797 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2798 | if (ix < 0x40862E42) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2799 | return half * exp(fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2800 | [ 4100s] | [ 4100s] 2801 | // |x| in [log(maxdouble), overflowthreshold] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2802 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2803 | double w = exp(half * fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2804 | double t = half * w; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2805 | return t * w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2806 | } [ 4100s] | ~ [ 4100s] 2807 | [ 4100s] | [ 4100s] 2808 | /* x is INF or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2809 | if (ix >= 0x7FF00000) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2810 | return x * x; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2811 | [ 4100s] | [ 4100s] 2812 | // |x| > overflowthreshold. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2813 | return huge * huge; [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2814 | } [ 4100s] | ~ [ 4100s] 2815 | [ 4100s] | [ 4100s] 2816 | /* [ 4100s] | ~~ [ 4100s] 2817 | * ES6 draft 09-27-13, section 20.2.2.30. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2818 | * Math.sinh [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2819 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2820 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2821 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2822 | * 2. [ 4100s] | ~~~~~~~~~ [ 4100s] 2823 | * E + E/(E+1) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2824 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2825 | * 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2826 | * [ 4100s] | ~ [ 4100s] 2827 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2828 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2829 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2830 | * [ 4100s] | ~ [ 4100s] 2831 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2832 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2833 | * only sinh(0)=0 is exact for finite x. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2834 | */ [ 4100s] | ~~ [ 4100s] 2835 | double sinh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2836 | { [ 4100s] | ~ [ 4100s] 2837 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2838 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2839 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2840 | constexpr double shuge = 1.0e307; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2841 | [ 4100s] | [ 4100s] 2842 | double h = (x < 0) ? -0.5 : 0.5; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2843 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2844 | double ax = fabs(x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2845 | if (ax < 22) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2846 | // For |x| < 2^-28, sinh(x) = x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2847 | if (ax < TWO_M28) [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2848 | return x; [ 4100s] | ~~~~~~~~~ [ 4100s] 2849 | double t = expm1(ax); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2850 | if (ax < 1) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2851 | return h * (2 * t - t * t / (t + 1)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2852 | } [ 4100s] | ~ [ 4100s] 2853 | return h * (t + t / (t + 1)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2854 | } [ 4100s] | ~ [ 4100s] 2855 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2856 | if (ax < LOG_MAXD) [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2857 | return h * exp(ax); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2858 | // |x| in [log(maxdouble), overflowthreshold] [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2859 | // overflowthreshold = 710.4758600739426 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2860 | if (ax <= KSINH_OVERFLOW) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2861 | double w = exp(0.5 * ax); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2862 | double t = h * w; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2863 | return t * w; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2864 | } [ 4100s] | ~ [ 4100s] 2865 | // |x| > overflowthreshold or is NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2866 | // Return Infinity of the appropriate sign or NaN. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2867 | return x * shuge; [ 4100s] | ~~~~~~~~~~~~~~~~~ [ 4100s] 2868 | } [ 4100s] | ~ [ 4100s] 2869 | [ 4100s] | [ 4100s] 2870 | /* Tanh(x) [ 4100s] | ~~~~~~~~~~ [ 4100s] 2871 | * Return the Hyperbolic Tangent of x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2872 | * [ 4100s] | ~ [ 4100s] 2873 | * Method : [ 4100s] | ~~~~~~~~~~ [ 4100s] 2874 | * x -x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2875 | * e - e [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2876 | * 0. tanh(x) is defined to be ----------- [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2877 | * x -x [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2878 | * e + e [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2879 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2880 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2881 | * -t [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2882 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2883 | * t + 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2884 | * 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2885 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2886 | * t + 2 [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2887 | * 22 <= x <= INF : tanh(x) := 1. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2888 | * [ 4100s] | ~ [ 4100s] 2889 | * Special cases: [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2890 | * tanh(NaN) is NaN; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2891 | * only tanh(0)=0 is exact for finite argument. [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2892 | */ [ 4100s] | ~~ [ 4100s] 2893 | double tanh(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2894 | { [ 4100s] | ~ [ 4100s] 2895 | constexpr volatile double tiny = 1.0e-300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2896 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2897 | double t, z; [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2898 | int32_t jx, ix; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2899 | [ 4100s] | [ 4100s] 2900 | GET_HIGH_WORD(jx, x); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2901 | ix = jx & 0x7FFFFFFF; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2902 | [ 4100s] | [ 4100s] 2903 | /* x is INF or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2904 | if (ix >= 0x7FF00000) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2905 | if (jx >= 0) [ 4100s] | ~~~~~~~~~~~~ [ 4100s] 2906 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2907 | else [ 4100s] | ~~~~ [ 4100s] 2908 | return one / x - one; /* tanh(NaN) = NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2909 | } [ 4100s] | ~ [ 4100s] 2910 | [ 4100s] | [ 4100s] 2911 | /* |x| < 22 */ [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2912 | if (ix < 0x40360000) { /* |x|<22 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2913 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2914 | return x; /* tanh(tiny) = tiny with inexact */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2915 | } [ 4100s] | ~ [ 4100s] 2916 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2917 | t = expm1(two * fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2918 | z = one - two / (t + two); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2919 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2920 | t = expm1(-two * fabs(x)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2921 | z = -t / (t + two); [ 4100s] | ~~~~~~~~~~~~~~~~~~~ [ 4100s] 2922 | } [ 4100s] | ~ [ 4100s] 2923 | /* |x| >= 22, return +-1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2924 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2925 | z = one - tiny; /* raise inexact flag */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2926 | } [ 4100s] | ~ [ 4100s] 2927 | return (jx >= 0) ? z : -z; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2928 | } [ 4100s] | ~ [ 4100s] 2929 | [ 4100s] | [ 4100s] 2930 | double ceil(double x) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2931 | { [ 4100s] | ~ [ 4100s] 2932 | constexpr double huge = 1.0e300; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2933 | int i0, i1, j0; [ 4100s] | ~~~~~~~~~~~~~~~ [ 4100s] 2934 | unsigned i, j; [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2935 | i0 = __HI(x); [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2936 | i1 = __LO(x); [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2937 | j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2938 | if (j0 < 20) { [ 4100s] | ~~~~~~~~~~~~~~ [ 4100s] 2939 | if (j0 < 0) { /* raise inexact if x != 0 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2940 | if (huge + x > 0.0) { /* return 0*sign(x) if |x|<1 */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2941 | if (i0 < 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2942 | i0 = 0x80000000; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2943 | i1 = 0; [ 4100s] | ~~~~~~~ [ 4100s] 2944 | } else if ((i0 | i1) != 0) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2945 | i0 = 0x3ff00000; [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2946 | i1 = 0; [ 4100s] | ~~~~~~~ [ 4100s] 2947 | } [ 4100s] | ~ [ 4100s] 2948 | } [ 4100s] | ~ [ 4100s] 2949 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2950 | i = (0x000fffff) >> j0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2951 | if (((i0 & i) | i1) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2952 | return x; /* x is integral */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2953 | if (huge + x > 0.0) { /* raise inexact flag */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2954 | if (i0 > 0) [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2955 | i0 += (0x00100000) >> j0; [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2956 | i0 &= (~i); [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2957 | i1 = 0; [ 4100s] | ~~~~~~~ [ 4100s] 2958 | } [ 4100s] | ~ [ 4100s] 2959 | } [ 4100s] | ~ [ 4100s] 2960 | } else if (j0 > 51) { [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2961 | if (j0 == 0x400) [ 4100s] | ~~~~~~~~~~~~~~~~ [ 4100s] 2962 | return x + x; /* inf or NaN */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2963 | else [ 4100s] | ~~~~ [ 4100s] 2964 | return x; /* x is integral */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2965 | } else { [ 4100s] | ~~~~~~~~ [ 4100s] 2966 | i = ((unsigned)(0xffffffff)) >> (j0 - 20); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2967 | if ((i1 & i) == 0) [ 4100s] | ~~~~~~~~~~~~~~~~~~ [ 4100s] 2968 | return x; /* x is integral */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2969 | if (huge + x > 0.0) { /* raise inexact flag */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2970 | if (i0 > 0) { [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2971 | if (j0 == 20) [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2972 | i0 += 1; [ 4100s] | ~~~~~~~~ [ 4100s] 2973 | else { [ 4100s] | ~~~~~~ [ 4100s] 2974 | j = i1 + (1 << (52 - j0)); [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2975 | if (j < (unsigned)i1) [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2976 | i0 += 1; /* got a carry */ [ 4100s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 4100s] 2977 | i1 = j; [ 4100s] | ~~~~~~~ [ 4100s] 2978 | } [ 4100s] | ~ [ 4100s] 2979 | } [ 4100s] | ~ [ 4100s] 2980 | i1 &= (~i); [ 4100s] | ~~~~~~~~~~~ [ 4100s] 2981 | } [ 4100s] | ~ [ 4100s] 2982 | } [ 4100s] | ~ [ 4100s] 2983 | __HI(x) = i0; [ 4100s] | ~~~~~~~~~~~~~ [ 4100s] 2984 | __LO(x) = i1; [ 4100s] | ~~~~~~ [ 4100s] third_party/escargot/src/runtime/IEEE754.cpp:2984:5: note: in expansion of macro '__LO' [ 4100s] 2984 | __LO(x) = i1; [ 4100s] | ^~~~ [ 4100s] [1075/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/intl/IntlDateTimeFormat.cpp.o [ 4100s] [1076/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ErrorObject.cpp.o [ 4100s] [1077/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IteratorObject.cpp.o [ 4100s] [1078/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectProxyObject.cpp.o [ 4100s] [1079/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/JobQueue.cpp.o [ 4100s] [1080/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/SharedArrayBufferObject.cpp.o [ 4100s] [1081/1197] Building CXX object 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third_party/escargot/CMakeFiles/escargot.dir/src/runtime/TypedArrayObject.cpp.o [ 4104s] [1186/1197] Building CXX object third_party/escargot/third_party/runtime_icu_binder/CMakeFiles/runtime-icu-binder-static.dir/RuntimeICUBinder.cpp.o [ 4104s] [1187/1197] Linking CXX static library out_tizen/unified_wearable/release/lib/libruntime-icu-binder-static.a [ 4104s] [1188/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/StaticStrings.cpp.o [ 4105s] [1189/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrSyntaxChecker.cpp.o [ 4105s] [1190/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/lz4/lz4.cpp.o [ 4106s] [1191/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/VMInstance.cpp.o [ 4106s] [1192/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrInterpreter.cpp.o [ 4107s] [1193/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrPattern.cpp.o [ 4114s] [1194/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/esprima_cpp/esprima.cpp.o [ 4129s] [1195/1197] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrUnicodeProperties.cpp.o [ 4137s] [1196/1197] Linking CXX static library out_tizen/unified_wearable/release/lib/libescargot.a [ 4353s] [1197/1197] Linking CXX shared library out_tizen/unified_wearable/release/lib/liblightweight-web-engine-dali-plugin.wearable.so [ 4353s] + rm -f CMakeCache.txt [ 4353s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=arm -DCUSTOM=unified_wearable -DBACKEND=efl_cairo -DLTO=1 -DTARGETNAME=lightweight-web-engine.wearable -G Ninja [ 4354s] -- The C compiler identification is GNU 9.2.0 [ 4354s] -- The CXX compiler identification is GNU 9.2.0 [ 4354s] -- Check for working C compiler: /bin/cc [ 4354s] -- Check for working C compiler: /bin/cc -- works [ 4354s] -- Detecting C compiler ABI info [ 4354s] -- Detecting C compiler ABI info - done [ 4354s] -- Detecting C compile features [ 4354s] -- Detecting C compile features - done [ 4354s] -- Check for working CXX compiler: /bin/c++ [ 4354s] -- Check for working CXX compiler: /bin/c++ -- works [ 4354s] -- Detecting CXX compiler ABI info [ 4354s] -- Detecting CXX compiler ABI info - done [ 4354s] -- Detecting CXX compile features [ 4354s] -- Detecting CXX compile features - done [ 4354s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 4354s] -- Checking for modules 'libpng;freetype2;fontconfig;harfbuzz;elementary;ecore;ecore-imf' [ 4355s] -- Found libpng, version 1.6.37 [ 4355s] -- Found freetype2, version 23.4.17 [ 4355s] -- Found fontconfig, version 2.13.1 [ 4356s] -- Found harfbuzz, version 2.6.7 [ 4356s] -- Found elementary, version 1.25.1 [ 4356s] -- Found ecore, version 1.25.1 [ 4356s] -- Found ecore-imf, version 1.25.1 [ 4358s] -- Checking for module 'ecore-imf-evas' [ 4358s] -- Found ecore-imf-evas, version 1.25.1 [ 4359s] -- Checking for module 'libtbm' [ 4359s] -- Found libtbm, version 3.0.0 [ 4359s] -- Checking for module 'cairo' [ 4360s] -- Found cairo, version 1.14.2 [ 4360s] -- Checking for modules 'dlog;capi-media-player;capi-media-sound-manager;capi-system-info;capi-system-device' [ 4361s] -- Found dlog, version 1.0 [ 4361s] -- Found capi-media-player, version [ 4361s] -- Found capi-media-sound-manager, version 0.0.1 [ 4361s] -- Found capi-system-info, version 0.2.0 [ 4361s] -- Found capi-system-device, version [ 4362s] -- Checking for module 'bundle' [ 4362s] -- Found bundle, version 0.9.2 [ 4362s] -- Looking for cap_set_flag in cap [ 4363s] -- Looking for cap_set_flag in cap - not found [ 4363s] -- Could NOT find Git (missing: GIT_EXECUTABLE) [ 4363s] -- Escargot Build Version: v3.0.0 [ 4363s] -- Checking for module 'dlog' [ 4363s] -- Found dlog, version 1.0 [ 4364s] -- Starfish [ 4364s] -- FLAGS: -std=c++11-g3-Wall-Wextra-Werror-Wno-unused-parameter-Wno-unused-result-Wno-unused-variable-Wno-unused-function-Wno-maybe-uninitialized-Wno-deprecated-declarations-Wno-type-limits-fno-math-errno-fdata-sections-ffunction-sections-Wno-invalid-offsetof-fvisibility=hidden-fno-omit-frame-pointer-fstack-protector-fPIC-frounding-math-fsignaling-nans-Wno-unused-but-set-variable-Wno-unused-but-set-parameter-Wno-attributes-Wno-class-memaccess-Wno-deprecated-copy-Wno-cast-function-type-Wno-stringop-truncation-Wno-pessimizing-move-Wno-format-nonliteral-fno-rtti-O2-flto-O2-g2-pipe-Wall-Wp,-D_FORTIFY_SOURCE=2-fexceptions-fstack-protector-strong-Wformat-security-fmessage-length=0-frecord-gcc-switches-Wl,-z,relro,--as-needed--param=ssp-buffer-size=4-march=armv7-a-mtune=cortex-a8-mlittle-endian-mfpu=neon-mfloat-abi=softfp-mthumb-Wp,-D__SOFTFP__-Wl,-O1-Wl,--hash-style=gnu-Wa,-mimplicit-it=thumb-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_5-Os [ 4364s] -- LIBRARIES: clipperescargotmp4parsewebmskia_matrixpthreadcurlsslcryptojpeggifturbojpegrtdlcapi-location-manager-Wl,-soname,liblightweight-web-engine.so.1png16zfontconfigfreetypeharfbuzzelementaryecore_evasecore_fileecore_conedjeevasectorluameldbusethumb_clientethumbemotionefreeteioeetemileecoreeflecore_imfecore_inputeoeinapthreadmrtdlcairoecore_imf_evasefleoeinapthreadmrtdltbmcapi-base-commondlogcapi-media-playercapi-media-tooltbmcapi-media-sound-managercapi-system-infocapi-system-devicecapi-base-commonbundlecapi-base-common [ 4364s] -- DEFINITIONS: -DSTARFISH_TIZEN-DSTARFISH_TIZEN_OBS-DTIZEN_DEVICE_API-DSIZE_MAX=0xffffffff-DSTARFISH_ENABLE_ANIMATION-DSTARFISH_ENABLE_RUNTIME_ICU_BINDER-DSTARFISH_TIZEN_WEARABLE_WIDGET-DSTARFISH_TIZEN_CAPI_LOCATION_MANAGER_ENABLED-DSTARFISH_DISABLE_OVERFLOW_SCROLL-DSTARFISH_ENABLE_OBSOLETE_SPEC-DSTARFISH_ENABLE_BATTERY_STATUS-DNDEBUG-DSTARFISH_EFL_CAIRO [ 4364s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 4364s] -- INCLUDE_DIRS: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/src/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/inc/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/rapidjson/include/usr/include/elementary-1/usr/include/ecore-wl2-1/usr/include/wayland-extension/usr/include/ethumb-client-1/usr/include/ethumb-1/usr/include/edje-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-imf-evas-1/usr/include/embryo-1/usr/include/ecore-audio-1/usr/include/emotion-1/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/efreet-1/usr/include/eio-1/usr/include/efreet-1/usr/include/ecore-ipc-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/cairo/usr/include/pixman-1/usr/include/ecore-evas-1/usr/include/ecore-input-evas-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/usr/include/libpng16/usr/include/ecore-imf-evas-1/usr/include/ecore-imf-1/usr/include/ecore-input-1/usr/include/eeze-1/usr/include/libmount/usr/include/blkid/usr/include/ecore-file-1/usr/include/ecore-con-1/usr/include/eldbus-1/usr/include/dbus-1.0/usr/lib/dbus-1.0/include/usr/include/evas-1/usr/include/evas-1/canvas/usr/include/evas-1/gesture/usr/include/uuid/usr/include/fribidi/usr/include/harfbuzz/usr/include/freetype2/usr/include/libpng16/usr/include/ecore-1/usr/include/glib-2.0/usr/lib/glib-2.0/include/usr/include/eet-1/usr/include/emile-1/usr/include/efl-1/usr/include/efl-1/interfaces/usr/include/eo-1/usr/include/eina-1/usr/include/eina-1/eina/usr/include/dlog/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/MP4Parse/source/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/webm/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/GCutil/bdwgc/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/src/api/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/escargot/third_party/runtime_icu_binder/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsg/dist/include/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/nanomsgcpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/clipper/cpp/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/earcut.hpp/include/mapbox/usr/include/dlog/usr/include/media/usr/include/system/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/deviceapi/src//usr/include/dlog/usr/include/location/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/skia_matrix/include/core/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/arm/release/include [ 4364s] -- Configuring done [ 4364s] -- Generating done [ 4364s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4364s] + ninja starfish.shared_library [ 4365s] [1/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 4365s] [2/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 4365s] [3/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextBinding.cpp.o [ 4365s] [4/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 4365s] [5/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 4365s] [6/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 4365s] [7/915] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplMock.cpp.o [ 4438s] [854/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/process/base/Process.cpp.o [ 4438s] [855/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/page/WebView.cpp.o [ 4439s] [856/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSBase.cpp.o [ 4439s] [857/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/webrtc/VideoCapturer.cpp.o [ 4439s] [858/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/file/Directory.cpp.o [ 4439s] [859/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/ImageUtils.cpp.o [ 4439s] [860/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSTV.cpp.o [ 4439s] [861/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/HeaderResource.cpp.o [ 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Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerLibUV.cpp.o [ 4440s] [871/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/ComputedStyleCSSStyleDeclaration.cpp.o [ 4440s] [872/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinWindows.cpp.o [ 4440s] [873/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/xml/XMLHttpRequest.cpp.o [ 4440s] [874/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinLibUV.cpp.o [ 4440s] [875/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceURL.cpp.o [ 4440s] [876/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebView.cpp.o [ 4441s] [877/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/MessageLoopEFL.cpp.o [ 4441s] [878/915] Building 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CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 4441s] [887/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 4441s] [888/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinEFL.cpp.o [ 4441s] [889/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/CanvasCairo.cpp.o [ 4441s] [890/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 4442s] [891/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 4442s] [892/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/flutter/LWEWebViewFlutter.cpp.o [ 4442s] [893/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ElementResourceClient.cpp.o [ 4442s] [894/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 4442s] [895/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/FontResource.cpp.o [ 4442s] [896/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 4442s] [897/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplCairo.cpp.o [ 4442s] [898/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 4442s] [899/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/Resource.cpp.o [ 4442s] [900/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 4442s] [901/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 4442s] [902/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleDeclaration.cpp.o [ 4442s] [903/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 4442s] [904/915] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 4443s] [905/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 4443s] [906/915] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 4443s] [907/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 4443s] [908/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 4443s] [909/915] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 4443s] [910/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 4443s] [911/915] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 4443s] [912/915] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 4444s] [913/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 4445s] [914/915] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 4656s] [915/915] Linking CXX shared library out_tizen/unified_wearable/release/lib/liblightweight-web-engine.wearable.so [ 4656s] + ninja starfish.executable [ 4658s] [1/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/testRunner.cpp.o [ 4659s] [2/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/shell.cpp.o [ 4859s] [3/3] Linking CXX executable out_tizen/unified_wearable/release/lightweight-web-engine.wearable [ 4859s] + exit 0 [ 4859s] Executing(%install): /bin/sh -e /var/tmp/rpm-tmp.kgYlP9 [ 4859s] + umask 022 [ 4859s] + cd /home/abuild/rpmbuild/BUILD [ 4859s] + cd lightweight-web-engine-1.0.0 [ 4859s] + LANG=C [ 4859s] + export LANG [ 4859s] + unset DISPLAY [ 4859s] + rm -rf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm [ 4859s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm [ 4859s] + rm -rf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm [ 4859s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe [ 4859s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/bin [ 4859s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm//usr/lib/lwe/tv [ 4859s] + cp -fr out_tizen/unified_tv/release/lib/libclipper.so out_tizen/unified_tv/release/lib/liblightweight-web-engine-dali-plugin.tv.so out_tizen/unified_tv/release/lib/liblightweight-web-engine.tv.so out_tizen/unified_tv/release/lib/libmp4parse.so out_tizen/unified_tv/release/lib/libskia_matrix.so out_tizen/unified_tv/release/lib/libtuv.so out_tizen/unified_tv/release/lib/libwebm.so out_tizen/unified_tv/release/lib/libwebrtc.so /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv [ 4860s] + cp -fr out_tizen/unified_tv/release/lib/liblightweight-web-engine-dali-plugin.tv.so out_tizen/unified_tv/release/lib/liblightweight-web-engine.tv.so /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv [ 4885s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm//usr/lib/lwe/mobile [ 4885s] + cp -fr out_tizen/unified_mobile/release/lib/libclipper.so out_tizen/unified_mobile/release/lib/liblightweight-web-engine-dali-plugin.mobile.so out_tizen/unified_mobile/release/lib/liblightweight-web-engine.mobile.so out_tizen/unified_mobile/release/lib/libmp4parse.so out_tizen/unified_mobile/release/lib/libskia_matrix.so out_tizen/unified_mobile/release/lib/libtuv.so out_tizen/unified_mobile/release/lib/libwebm.so /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile [ 4885s] + cp -fr out_tizen/unified_mobile/release/lib/liblightweight-web-engine-dali-plugin.mobile.so out_tizen/unified_mobile/release/lib/liblightweight-web-engine.mobile.so /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile [ 4919s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm//usr/lib/lwe/wearable [ 4919s] + cp -fr out_tizen/unified_wearable/release/lib/libclipper.so out_tizen/unified_wearable/release/lib/liblightweight-web-engine-dali-plugin.wearable.so out_tizen/unified_wearable/release/lib/liblightweight-web-engine.wearable.so out_tizen/unified_wearable/release/lib/libmp4parse.so out_tizen/unified_wearable/release/lib/libskia_matrix.so out_tizen/unified_wearable/release/lib/libtuv.so out_tizen/unified_wearable/release/lib/libwebm.so /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable [ 4919s] + cp -fr out_tizen/unified_wearable/release/lib/liblightweight-web-engine-dali-plugin.wearable.so out_tizen/unified_wearable/release/lib/liblightweight-web-engine.wearable.so /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable [ 4939s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/include/lightweight-web-engine [ 4939s] + cp inc/LWEWebView.h /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/include/lightweight-web-engine/ [ 4939s] + cp inc/PlatformIntegrationData.h /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/include/lightweight-web-engine/ [ 4940s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/pkgconfig/ [ 4940s] + cp lightweight-web-engine.pc /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/pkgconfig/ [ 4940s] + cp lightweight-web-engine-dali-plugin.pc /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/pkgconfig/ [ 4940s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/etc/ld.so.conf.d/ [ 4940s] + cp lightweight-web-engine.conf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/etc/ld.so.conf.d/ [ 4940s] + pushd /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe [ 4940s] ~/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4940s] + rm -fr '*.so*' [ 4940s] + ln -s liblightweight-web-engine.so.1 liblightweight-web-engine.so [ 4940s] + ln -s liblightweight-web-engine-dali-plugin.so.1 liblightweight-web-engine-dali-plugin.so [ 4940s] + popd [ 4940s] ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4940s] + pushd /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib [ 4940s] ~/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4940s] + ln -s lwe/liblightweight-web-engine.so liblightweight-web-engine.so [ 4940s] + ln -s lwe/liblightweight-web-engine-dali-plugin.so liblightweight-web-engine-dali-plugin.so [ 4940s] + popd [ 4940s] ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4940s] + /usr/lib/rpm/find-debuginfo.sh -j4 --build-id-seed 1.0.0-86.7 --unique-debug-src-base lightweight-web-engine-1.0.0-86.7.arm -S debugsourcefiles.list /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000551664 s, 12.7 kB/s [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied7 bytes (7 B) copied, 0.000769059 s, 9.1 kB/s [ 4942s] , 0.00087464 s, 8.0 kB/s [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.00114636 s, 6.1 kB/s [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libclipper.so [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/liblightweight-web-engine-dali-plugin.mobile.so [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/liblightweight-web-engine.mobile.so [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libmp4parse.so [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000602326 s, 11.6 kB/s [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libskia_matrix.so [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000518858 s, 13.5 kB/s [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000498779 s, 14.0 kB/s [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libtuv.so [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libwebm.so [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000498747 s, 14.0 kB/s [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000480162 s, 14.6 kB/s [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libclipper.so [ 4942s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/liblightweight-web-engine-dali-plugin.tv.so [ 4942s] 1+0 records in [ 4942s] 1+0 records out [ 4942s] 7 bytes (7 B) copied, 0.000969392 s, 7.2 kB/s [ 4943s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/liblightweight-web-engine.tv.so [ 4956s] 1+0 records in [ 4956s] 1+0 records out [ 4956s] 7 bytes (7 B) copied, 0.000495155 s, 14.1 kB/s [ 4956s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libmp4parse.so [ 4956s] 1+0 records in [ 4956s] 1+0 records out [ 4956s] 7 bytes (7 B) copied, 0.000497832 s, 14.1 kB/s [ 4956s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libskia_matrix.so [ 4956s] 1+0 records in [ 4956s] 1+0 records out [ 4956s] 7 bytes (7 B) copied, 0.000497309 s, 14.1 kB/s [ 4956s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libtuv.so [ 4956s] 1+0 records in [ 4956s] 1+0 records out [ 4956s] 7 bytes (7 B) copied, 0.00103191 s, 6.8 kB/s [ 4956s] 1+0 records in [ 4956s] 1+0 records out [ 4956s] 7 bytes (7 B) copied, 0.000518348 s, 13.5 kB/s [ 4956s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libwebm.so [ 4956s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libwebrtc.so [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.000564324 s, 12.4 kB/s [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/libclipper.so [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.000499159 s, 14.0 kB/s [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.000785985 s, 8.9 kB/s [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.000711926 s, 9.8 kB/s [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/liblightweight-web-engine.wearable.so [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/liblightweight-web-engine-dali-plugin.wearable.so [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/libmp4parse.so [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.000515856 s, 13.6 kB/s [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/libskia_matrix.so [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.00049758 s, 14.1 kB/s [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/libtuv.so [ 4957s] 1+0 records in [ 4957s] 1+0 records out [ 4957s] 7 bytes (7 B) copied, 0.000520379 s, 13.5 kB/s [ 4957s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/libwebm.so [ 4957s] 0+0 records in [ 4957s] 0+0 records out [ 4957s] 0 bytes (0 B) copied, 0.000413676 s, 0.0 kB/s [ 4958s] 0+0 records in [ 4958s] 0+0 records out [ 4958s] 0 bytes (0 B) copied, 0.000545129 s, 0.0 kB/s [ 4969s] 0+0 records in [ 4969s] 0+0 records out [ 4969s] 0 bytes (0 B) copied, 0.000374089 s, 0.0 kB/s [ 4970s] 0+0 records in [ 4970s] 0+0 records out [ 4970s] 0 bytes (0 B) copied, 0.000829984 s, 0.0 kB/s [ 4972s] 50291 blocks [ 4972s] + cp /usr/lib/rpm/debug.manifest /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/lightweight-web-engine-debuginfo.manifest [ 4972s] + cp /usr/lib/rpm/debug.manifest /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/lightweight-web-engine-debugsource.manifest [ 4972s] + /usr/lib/rpm/check-buildroot [ 4973s] + /usr/lib/rpm//brp-compress [ 4973s] + /usr/lib/rpm/brp-strip-static-archive /bin/strip [ 4981s] + /usr/lib/rpm/brp-python-hardlink [ 4981s] + /usr/lib/rpm/tizen/find-docs.sh /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm [ 4981s] Processing files: lightweight-web-engine-1.0.0-86.7.armv7l [ 4981s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4981s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4981s] [ 4981s] Processing files: lightweight-web-engine-debugsource-1.0.0-86.7.armv7l [ 4981s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4981s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4981s] [ 4983s] Provides: lightweight-web-engine-debugsource = 1.0.0-86.7 lightweight-web-engine-debugsource(armv7l-32) = 1.0.0-86.7 [ 4983s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4983s] Processing files: lightweight-web-engine-profile_tv-1.0.0-86.7.armv7l [ 4983s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4983s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4983s] [ 4983s] Executing(%license): /bin/sh -e /var/tmp/rpm-tmp.kFeig9 [ 4983s] + umask 022 [ 4983s] + cd /home/abuild/rpmbuild/BUILD [ 4983s] + cd lightweight-web-engine-1.0.0 [ 4983s] + LICENSEDIR=/home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4983s] + export LC_ALL=C [ 4983s] + LC_ALL=C [ 4983s] + export LICENSEDIR [ 4983s] + /bin/mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4983s] + cp -pr LICENSE.LGPL-2.1+ /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4983s] + cp -pr LICENSE.BSD-3-Clause /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + cp -pr LICENSE.BSL-1.0 /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + cp -pr LICENSE.MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + cp -pr LICENSE.ISC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + cp -pr LICENSE.Zlib /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + cp -pr LICENSE.BOEHM-GC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + cp -pr LICENSE.ICU /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_tv [ 4984s] + exit 0 [ 4984s] Provides: libclipper.so liblightweight-web-engine-dali-plugin.so.1 liblightweight-web-engine.so.1 libmp4parse.so libskia_matrix.so libtuv.so libwebm.so libwebrtc.so lightweight-web-engine-compat = 1.0.0-86.7 lightweight-web-engine-profile_tv = 1.0.0-86.7 lightweight-web-engine-profile_tv(armv7l-32) = 1.0.0-86.7 [ 4984s] Requires(interp): /bin/sh [ 4984s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4984s] Requires(post): /bin/sh [ 4984s] Requires: ld-linux.so.3 ld-linux.so.3(GLIBC_2.4) libc.so.6 libc.so.6(GLIBC_2.11) libc.so.6(GLIBC_2.15) libc.so.6(GLIBC_2.16) libc.so.6(GLIBC_2.17) libc.so.6(GLIBC_2.27) libc.so.6(GLIBC_2.28) libc.so.6(GLIBC_2.4) libc.so.6(GLIBC_2.7) libc.so.6(GLIBC_2.9) libcairo.so.2 libcapi-location-manager.so.0 libcapi-media-audio-io.so.0 libcapi-media-player.so.0 libcapi-media-sound-manager.so.0 libcapi-media-tool.so.0 libclipper.so libcrypto.so.1.1 libcrypto.so.1.1(OPENSSL_1_1_0) libcurl.so.4 libcurl.so.4(CURL_OPENSSL_4) libdl.so.2 libdl.so.2(GLIBC_2.4) libdlog.so.0 libecore.so.1 libecore_evas.so.1 libecore_imf.so.1 libecore_imf_evas.so.1 libelementary.so.1 libevas.so.1 libfontconfig.so.1 libfreetype.so.6 libgcc_s.so.1 libgcc_s.so.1(GCC_3.0) libgcc_s.so.1(GCC_3.3.1) libgcc_s.so.1(GCC_3.5) libgif.so.7 libharfbuzz.so.0 libjpeg.so.8 libjpeg.so.8(LIBJPEG_8.0) libm.so.6 libm.so.6(GLIBC_2.27) libm.so.6(GLIBC_2.29) libm.so.6(GLIBC_2.4) libmp4parse.so libpng16.so.16 libpng16.so.16(PNG16_0) libpthread.so.0 libpthread.so.0(GLIBC_2.4) libskia_matrix.so libssl.so.1.1 libssl.so.1.1(OPENSSL_1_1_0) libssl.so.1.1(OPENSSL_1_1_1) libstdc++.so.6 libstdc++.so.6(CXXABI_1.3) libstdc++.so.6(CXXABI_1.3.11) libstdc++.so.6(CXXABI_1.3.3) libstdc++.so.6(CXXABI_1.3.5) libstdc++.so.6(CXXABI_1.3.8) libstdc++.so.6(CXXABI_ARM_1.3.3) libstdc++.so.6(GLIBCXX_3.4) libstdc++.so.6(GLIBCXX_3.4.11) libstdc++.so.6(GLIBCXX_3.4.14) libstdc++.so.6(GLIBCXX_3.4.15) libstdc++.so.6(GLIBCXX_3.4.18) libstdc++.so.6(GLIBCXX_3.4.19) libstdc++.so.6(GLIBCXX_3.4.20) libstdc++.so.6(GLIBCXX_3.4.21) libstdc++.so.6(GLIBCXX_3.4.26) libstdc++.so.6(GLIBCXX_3.4.5) libstdc++.so.6(GLIBCXX_3.4.9) libtbm.so.1 libtuv.so libwebm.so libwebrtc.so rtld(GNU_HASH) [ 4984s] Conflicts: lightweight-web-engine-profile_headless = 1.0.0-86.7 lightweight-web-engine-profile_mobile = 1.0.0-86.7 lightweight-web-engine-profile_wearable = 1.0.0-86.7 [ 4984s] Processing files: lightweight-web-engine-profile_mobile-1.0.0-86.7.armv7l [ 4984s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4984s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4984s] [ 4984s] Executing(%license): /bin/sh -e /var/tmp/rpm-tmp.uHurtb [ 4984s] + umask 022 [ 4984s] + cd /home/abuild/rpmbuild/BUILD [ 4984s] + cd lightweight-web-engine-1.0.0 [ 4984s] + LICENSEDIR=/home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + export LC_ALL=C [ 4984s] + LC_ALL=C [ 4984s] + export LICENSEDIR [ 4984s] + /bin/mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.LGPL-2.1+ /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.BSD-3-Clause /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.BSL-1.0 /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.ISC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.Zlib /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.BOEHM-GC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + cp -pr LICENSE.ICU /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4984s] + exit 0 [ 4985s] Provides: libclipper.so liblightweight-web-engine-dali-plugin.so.1 liblightweight-web-engine.so.1 libmp4parse.so libskia_matrix.so libtuv.so libwebm.so lightweight-web-engine-compat = 1.0.0-86.7 lightweight-web-engine-profile_mobile = 1.0.0-86.7 lightweight-web-engine-profile_mobile(armv7l-32) = 1.0.0-86.7 [ 4985s] Requires(interp): /bin/sh [ 4985s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4985s] Requires(post): /bin/sh [ 4985s] Requires: ld-linux.so.3 ld-linux.so.3(GLIBC_2.4) libc.so.6 libc.so.6(GLIBC_2.11) libc.so.6(GLIBC_2.17) libc.so.6(GLIBC_2.27) libc.so.6(GLIBC_2.28) libc.so.6(GLIBC_2.4) libc.so.6(GLIBC_2.7) libcairo.so.2 libcapi-media-player.so.0 libcapi-media-tool.so.0 libclipper.so libcrypto.so.1.1 libcrypto.so.1.1(OPENSSL_1_1_0) libcurl.so.4 libcurl.so.4(CURL_OPENSSL_4) libdl.so.2 libdl.so.2(GLIBC_2.4) libdlog.so.0 libecore.so.1 libecore_evas.so.1 libecore_imf.so.1 libecore_imf_evas.so.1 libelementary.so.1 libevas.so.1 libfontconfig.so.1 libfreetype.so.6 libgcc_s.so.1 libgcc_s.so.1(GCC_3.0) libgcc_s.so.1(GCC_3.3.1) libgcc_s.so.1(GCC_3.5) libgif.so.7 libharfbuzz.so.0 libjpeg.so.8 libjpeg.so.8(LIBJPEG_8.0) libm.so.6 libm.so.6(GLIBC_2.29) libm.so.6(GLIBC_2.4) libmp4parse.so libpng16.so.16 libpng16.so.16(PNG16_0) libpthread.so.0 libpthread.so.0(GLIBC_2.4) libskia_matrix.so libstdc++.so.6 libstdc++.so.6(CXXABI_1.3) libstdc++.so.6(CXXABI_1.3.11) libstdc++.so.6(CXXABI_1.3.3) libstdc++.so.6(CXXABI_1.3.5) libstdc++.so.6(CXXABI_1.3.8) libstdc++.so.6(CXXABI_ARM_1.3.3) libstdc++.so.6(GLIBCXX_3.4) libstdc++.so.6(GLIBCXX_3.4.11) libstdc++.so.6(GLIBCXX_3.4.14) libstdc++.so.6(GLIBCXX_3.4.15) libstdc++.so.6(GLIBCXX_3.4.18) libstdc++.so.6(GLIBCXX_3.4.19) libstdc++.so.6(GLIBCXX_3.4.20) libstdc++.so.6(GLIBCXX_3.4.21) libstdc++.so.6(GLIBCXX_3.4.26) libstdc++.so.6(GLIBCXX_3.4.5) libstdc++.so.6(GLIBCXX_3.4.9) libtbm.so.1 libtuv.so libwebm.so rtld(GNU_HASH) [ 4985s] Conflicts: lightweight-web-engine-profile_headless = 1.0.0-86.7 lightweight-web-engine-profile_tv = 1.0.0-86.7 lightweight-web-engine-profile_wearable = 1.0.0-86.7 [ 4985s] Processing files: lightweight-web-engine-profile_wearable-1.0.0-86.7.armv7l [ 4985s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4985s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4985s] [ 4985s] Executing(%license): /bin/sh -e /var/tmp/rpm-tmp.AlGh58 [ 4985s] + umask 022 [ 4985s] + cd /home/abuild/rpmbuild/BUILD [ 4985s] + cd lightweight-web-engine-1.0.0 [ 4985s] + LICENSEDIR=/home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + export LC_ALL=C [ 4985s] + LC_ALL=C [ 4985s] + export LICENSEDIR [ 4985s] + /bin/mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.LGPL-2.1+ /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.BSD-3-Clause /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.BSL-1.0 /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.ISC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.Zlib /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.BOEHM-GC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + cp -pr LICENSE.ICU /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4985s] + exit 0 [ 4985s] Provides: libclipper.so liblightweight-web-engine-dali-plugin.so.1 liblightweight-web-engine.so.1 libmp4parse.so libskia_matrix.so libtuv.so libwebm.so lightweight-web-engine-compat = 1.0.0-86.7 lightweight-web-engine-profile_wearable = 1.0.0-86.7 lightweight-web-engine-profile_wearable(armv7l-32) = 1.0.0-86.7 [ 4985s] Requires(interp): /bin/sh [ 4985s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4985s] Requires(post): /bin/sh [ 4985s] Requires: ld-linux.so.3 ld-linux.so.3(GLIBC_2.4) libbundle.so.0 libc.so.6 libc.so.6(GLIBC_2.11) libc.so.6(GLIBC_2.17) libc.so.6(GLIBC_2.27) libc.so.6(GLIBC_2.28) libc.so.6(GLIBC_2.4) libc.so.6(GLIBC_2.7) libcairo.so.2 libcapi-location-manager.so.0 libcapi-system-device.so.0 libcrypto.so.1.1 libcrypto.so.1.1(OPENSSL_1_1_0) libcurl.so.4 libcurl.so.4(CURL_OPENSSL_4) libdl.so.2 libdl.so.2(GLIBC_2.4) libdlog.so.0 libecore.so.1 libecore_evas.so.1 libecore_imf.so.1 libelementary.so.1 libevas.so.1 libfontconfig.so.1 libfreetype.so.6 libgcc_s.so.1 libgcc_s.so.1(GCC_3.0) libgcc_s.so.1(GCC_3.3.1) libgcc_s.so.1(GCC_3.5) libgif.so.7 libharfbuzz.so.0 libjpeg.so.8 libjpeg.so.8(LIBJPEG_8.0) libm.so.6 libm.so.6(GLIBC_2.29) libm.so.6(GLIBC_2.4) libpng16.so.16 libpng16.so.16(PNG16_0) libpthread.so.0 libpthread.so.0(GLIBC_2.4) libskia_matrix.so libstdc++.so.6 libstdc++.so.6(CXXABI_1.3) libstdc++.so.6(CXXABI_1.3.11) libstdc++.so.6(CXXABI_1.3.3) libstdc++.so.6(CXXABI_1.3.5) libstdc++.so.6(CXXABI_1.3.8) libstdc++.so.6(CXXABI_ARM_1.3.3) libstdc++.so.6(GLIBCXX_3.4) libstdc++.so.6(GLIBCXX_3.4.11) libstdc++.so.6(GLIBCXX_3.4.14) libstdc++.so.6(GLIBCXX_3.4.15) libstdc++.so.6(GLIBCXX_3.4.18) libstdc++.so.6(GLIBCXX_3.4.19) libstdc++.so.6(GLIBCXX_3.4.20) libstdc++.so.6(GLIBCXX_3.4.21) libstdc++.so.6(GLIBCXX_3.4.26) libstdc++.so.6(GLIBCXX_3.4.5) libstdc++.so.6(GLIBCXX_3.4.9) libtuv.so rtld(GNU_HASH) [ 4985s] Conflicts: lightweight-web-engine-profile_headless = 1.0.0-86.7 lightweight-web-engine-profile_mobile = 1.0.0-86.7 lightweight-web-engine-profile_tv = 1.0.0-86.7 [ 4985s] Processing files: lightweight-web-engine-devel-1.0.0-86.7.armv7l [ 4985s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4985s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4985s] [ 4986s] Provides: lightweight-web-engine-devel = 1.0.0-86.7 lightweight-web-engine-devel(armv7l-32) = 1.0.0-86.7 pkgconfig(lightweight-web-engine) = 0.0.1 pkgconfig(lightweight-web-engine-dali-plugin) = 0.0.1 [ 4986s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4986s] Requires: /usr/bin/pkg-config [ 4986s] Processing files: lightweight-web-engine-profile_tv-debuginfo-1.0.0-86.7.armv7l [ 4986s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4986s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4986s] [ 4990s] Provides: lightweight-web-engine-profile_tv-debuginfo = 1.0.0-86.7 lightweight-web-engine-profile_tv-debuginfo(armv7l-32) = 1.0.0-86.7 [ 4990s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4990s] Recommends: lightweight-web-engine-debugsource(armv7l-32) = 1.0.0-86.7 [ 4990s] Processing files: lightweight-web-engine-profile_mobile-debuginfo-1.0.0-86.7.armv7l [ 4990s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4990s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4990s] [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/tv/libclipper.so.debug and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/mobile/libclipper.so.debug [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libclipper.so and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libclipper.so [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/tv/libmp4parse.so.debug and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/mobile/libmp4parse.so.debug [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libmp4parse.so and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libmp4parse.so [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/tv/libskia_matrix.so.debug and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/mobile/libskia_matrix.so.debug [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libskia_matrix.so and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libskia_matrix.so [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/tv/libtuv.so.debug and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/mobile/libtuv.so.debug [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libtuv.so and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libtuv.so [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/tv/libwebm.so.debug and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/mobile/libwebm.so.debug [ 4990s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libwebm.so and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/mobile/libwebm.so [ 4994s] Provides: lightweight-web-engine-profile_mobile-debuginfo = 1.0.0-86.7 lightweight-web-engine-profile_mobile-debuginfo(armv7l-32) = 1.0.0-86.7 [ 4994s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4994s] Recommends: lightweight-web-engine-debugsource(armv7l-32) = 1.0.0-86.7 [ 4994s] Processing files: lightweight-web-engine-profile_wearable-debuginfo-1.0.0-86.7.armv7l [ 4994s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4994s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4994s] [ 4994s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/tv/libtuv.so.debug and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/debug/usr/lib/lwe/wearable/libtuv.so.debug [ 4994s] warning: Duplicate build-ids /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/tv/libtuv.so and /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm/usr/lib/lwe/wearable/libtuv.so [ 4997s] Provides: lightweight-web-engine-profile_wearable-debuginfo = 1.0.0-86.7 lightweight-web-engine-profile_wearable-debuginfo(armv7l-32) = 1.0.0-86.7 [ 4997s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(FileDigests) <= 4.6.0-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4997s] Recommends: lightweight-web-engine-debugsource(armv7l-32) = 1.0.0-86.7 [ 4997s] Checking for unpackaged file(s): /usr/lib/rpm/check-files /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm [ 5000s] Wrote: /home/abuild/rpmbuild/SRPMS/lightweight-web-engine-1.0.0-86.7.src.rpm [ 5000s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-1.0.0-86.7.armv7l.rpm [ 5006s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-debugsource-1.0.0-86.7.armv7l.rpm [ 5013s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_tv-1.0.0-86.7.armv7l.rpm [ 5019s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_mobile-1.0.0-86.7.armv7l.rpm [ 5023s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_wearable-1.0.0-86.7.armv7l.rpm [ 5023s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-devel-1.0.0-86.7.armv7l.rpm [ 5043s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_tv-debuginfo-1.0.0-86.7.armv7l.rpm [ 5063s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_mobile-debuginfo-1.0.0-86.7.armv7l.rpm [ 5078s] Wrote: /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_wearable-debuginfo-1.0.0-86.7.armv7l.rpm [ 5078s] Executing(%clean): /bin/sh -e /var/tmp/rpm-tmp.YgD0A8 [ 5078s] + umask 022 [ 5078s] + cd /home/abuild/rpmbuild/BUILD [ 5078s] + cd lightweight-web-engine-1.0.0 [ 5078s] + /bin/rm -rf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-86.7.arm [ 5079s] + exit 0 [ 5079s] ... checking for files with abuild user/group [ 5079s] ... creating baselibs [ 5080s] ... comparing built packages with the former built [ 5080s] /usr/lib/build/pkg-diff.sh [ 5080s] compare /.build.oldpackages/lightweight-web-engine-1.0.0-86.6.src.rpm /home/abuild/rpmbuild/SRPMS/lightweight-web-engine-1.0.0-86.7.src.rpm [ 5080s] This is not a prerelease project. Compare the project name. [ 5080s] comparing rpmtags [ 5080s] comparing RELEASE [ 5080s] comparing PROVIDES [ 5080s] comparing scripts [ 5080s] comparing filelist [ 5080s] comparing file checksum [ 5080s] RPM meta information is identical [ 5080s] compare /.build.oldpackages/lightweight-web-engine-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-1.0.0-86.7.armv7l.rpm [ 5081s] Comparing lightweight-web-engine-1.0.0-86.6.armv7l.rpm to lightweight-web-engine-1.0.0-86.7.armv7l.rpm [ 5081s] This is not a prerelease project. Compare the project name. [ 5081s] comparing rpmtags [ 5081s] comparing RELEASE [ 5081s] comparing PROVIDES [ 5081s] comparing scripts [ 5081s] comparing filelist [ 5081s] comparing file checksum [ 5081s] creating rename script [ 5081s] RPM meta information is identical [ 5081s] compare /.build.oldpackages/lightweight-web-engine-debugsource-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-debugsource-1.0.0-86.7.armv7l.rpm [ 5081s] Comparing lightweight-web-engine-debugsource-1.0.0-86.6.armv7l.rpm to lightweight-web-engine-debugsource-1.0.0-86.7.armv7l.rpm [ 5081s] This is not a prerelease project. Compare the project name. [ 5081s] comparing rpmtags [ 5081s] comparing RELEASE [ 5082s] comparing PROVIDES [ 5082s] comparing scripts [ 5082s] comparing filelist [ 5082s] comparing file checksum [ 5082s] creating rename script [ 5082s] RPM meta information is identical [ 5082s] compare /.build.oldpackages/lightweight-web-engine-devel-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-devel-1.0.0-86.7.armv7l.rpm [ 5082s] Comparing lightweight-web-engine-devel-1.0.0-86.6.armv7l.rpm to lightweight-web-engine-devel-1.0.0-86.7.armv7l.rpm [ 5082s] This is not a prerelease project. Compare the project name. [ 5082s] comparing rpmtags [ 5082s] comparing RELEASE [ 5082s] comparing PROVIDES [ 5082s] comparing scripts [ 5082s] comparing filelist [ 5082s] comparing file checksum [ 5083s] creating rename script [ 5083s] RPM meta information is identical [ 5083s] compare /.build.oldpackages/lightweight-web-engine-profile_mobile-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_mobile-1.0.0-86.7.armv7l.rpm [ 5083s] Comparing lightweight-web-engine-profile_mobile-1.0.0-86.6.armv7l.rpm to lightweight-web-engine-profile_mobile-1.0.0-86.7.armv7l.rpm [ 5083s] This is not a prerelease project. Compare the project name. [ 5083s] comparing rpmtags [ 5083s] comparing RELEASE [ 5083s] comparing PROVIDES [ 5083s] comparing scripts [ 5083s] comparing filelist [ 5083s] comparing file checksum [ 5083s] creating rename script [ 5083s] RPM file checksum differs. [ 5083s] Extracting packages [ 5085s] /usr/lib/lwe/mobile/libclipper.so: only difference was in build-id or gnu_debuglink, GOOD. [ 5133s] /usr/lib/lwe/mobile/liblightweight-web-engine-dali-plugin.mobile.so differs in ELF section .rodata [ 5133s] --- /tmp/tmp.voQWt35754/tmp.jYjip35853 2021-10-07 17:44:55.261087942 +0000 [ 5133s] +++ /tmp/tmp.voQWt35754/tmp.nBUwj35855 2021-10-07 17:44:55.321087016 +0000 [ 5133s] @@ -11085,7 +11085,7 @@ [ 5133s] 7608e8 2f457363 6172676f 74507562 6c69632e /EscargotPublic. [ 5133s] 7608f8 63707000 52454c45 4153455f 41535345 cpp.RELEASE_ASSE [ 5133s] 760908 52542061 74202573 20282564 290a0000 RT at %s (%d)... [ 5133s] - 760918 76332e30 2e300000 4f637420 20312032 v3.0.0..Oct 1 2 [ 5133s] + 760918 76332e30 2e300000 4f637420 20372032 v3.0.0..Oct 7 2 [ 5133s] 760928 30323100 636f6e73 74727563 746f7200 021.constructor. [ 5133s] 760938 74686972 645f7061 7274792f 65736361 third_party/esca [ 5133s] 760948 72676f74 2f737263 2f72756e 74696d65 rgot/src/runtime [ 5134s] compare /.build.oldpackages/lightweight-web-engine-profile_mobile-debuginfo-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_mobile-debuginfo-1.0.0-86.7.armv7l.rpm [ 5134s] skipping -debuginfo package [ 5134s] compare /.build.oldpackages/lightweight-web-engine-profile_tv-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_tv-1.0.0-86.7.armv7l.rpm [ 5134s] Comparing lightweight-web-engine-profile_tv-1.0.0-86.6.armv7l.rpm to lightweight-web-engine-profile_tv-1.0.0-86.7.armv7l.rpm [ 5134s] This is not a prerelease project. Compare the project name. [ 5134s] comparing rpmtags [ 5134s] comparing RELEASE [ 5134s] comparing PROVIDES [ 5134s] comparing scripts [ 5134s] comparing filelist [ 5135s] comparing file checksum [ 5135s] creating rename script [ 5135s] RPM file checksum differs. [ 5135s] Extracting packages [ 5137s] /usr/lib/lwe/tv/libclipper.so: only difference was in build-id or gnu_debuglink, GOOD. [ 5183s] /usr/lib/lwe/tv/liblightweight-web-engine-dali-plugin.tv.so differs in ELF section .rodata [ 5183s] --- /tmp/tmp.mnlNs36127/tmp.YfmtZ36226 2021-10-07 17:45:45.744305995 +0000 [ 5183s] +++ /tmp/tmp.mnlNs36127/tmp.hiYfD36228 2021-10-07 17:45:45.804305062 +0000 [ 5183s] @@ -10475,7 +10475,7 @@ [ 5183s] 71d6b8 74507562 6c69632e 63707000 52454c45 tPublic.cpp.RELE [ 5183s] 71d6c8 4153455f 41535345 52542061 74202573 ASE_ASSERT at %s [ 5183s] 71d6d8 20282564 290a0000 76332e30 2e300000 (%d)...v3.0.0.. [ 5183s] - 71d6e8 4f637420 20312032 30323100 636f6e73 Oct 1 2021.cons [ 5183s] + 71d6e8 4f637420 20372032 30323100 636f6e73 Oct 7 2021.cons [ 5183s] 71d6f8 74727563 746f7200 74686972 645f7061 tructor.third_pa [ 5183s] 71d708 7274792f 65736361 72676f74 2f737263 rty/escargot/src [ 5183s] 71d718 2f72756e 74696d65 2f506f69 6e746572 /runtime/Pointer [ 5184s] compare /.build.oldpackages/lightweight-web-engine-profile_tv-debuginfo-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_tv-debuginfo-1.0.0-86.7.armv7l.rpm [ 5184s] skipping -debuginfo package [ 5184s] compare /.build.oldpackages/lightweight-web-engine-profile_wearable-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_wearable-1.0.0-86.7.armv7l.rpm [ 5185s] Comparing lightweight-web-engine-profile_wearable-1.0.0-86.6.armv7l.rpm to lightweight-web-engine-profile_wearable-1.0.0-86.7.armv7l.rpm [ 5185s] This is not a prerelease project. Compare the project name. [ 5185s] comparing rpmtags [ 5185s] comparing RELEASE [ 5185s] comparing PROVIDES [ 5185s] comparing scripts [ 5185s] comparing filelist [ 5185s] comparing file checksum [ 5185s] creating rename script [ 5185s] RPM file checksum differs. [ 5185s] Extracting packages [ 5187s] /usr/lib/lwe/wearable/libclipper.so: only difference was in build-id or gnu_debuglink, GOOD. [ 5218s] /usr/lib/lwe/wearable/liblightweight-web-engine-dali-plugin.wearable.so differs in ELF section .rodata [ 5218s] --- /tmp/tmp.kIhNe36521/tmp.GTUev36620 2021-10-07 17:46:20.415765698 +0000 [ 5218s] +++ /tmp/tmp.kIhNe36521/tmp.DwshP36622 2021-10-07 17:46:20.471764823 +0000 [ 5218s] @@ -9857,7 +9857,7 @@ [ 5218s] 4fb6c8 626c6963 2e637070 0052454c 45415345 blic.cpp.RELEASE [ 5218s] 4fb6d8 5f415353 45525420 61742025 73202825 _ASSERT at %s (% [ 5218s] 4fb6e8 64290a00 76332e30 2e30004f 63742020 d)..v3.0.0.Oct [ 5218s] - 4fb6f8 31203230 32310074 68697264 5f706172 1 2021.third_par [ 5218s] + 4fb6f8 37203230 32310074 68697264 5f706172 7 2021.third_par [ 5218s] 4fb708 74792f65 73636172 676f742f 7372632f ty/escargot/src/ [ 5218s] 4fb718 72756e74 696d652f 506f696e 74657256 runtime/PointerV [ 5218s] 4fb728 616c7565 2e680043 616c6c65 65206973 alue.h.Callee is [ 5219s] compare /.build.oldpackages/lightweight-web-engine-profile_wearable-debuginfo-1.0.0-86.6.armv7l.rpm /home/abuild/rpmbuild/RPMS/armv7l/lightweight-web-engine-profile_wearable-debuginfo-1.0.0-86.7.armv7l.rpm [ 5219s] skipping -debuginfo package [ 5219s] [ 5219s] obsnw13 finished "build lightweight-web-engine.spec" at Thu Oct 7 17:46:21 UTC 2021. [ 5219s]