[ 0s] Memory limit set to 100366496KB [ 0s] Using BUILD_ROOT=/data/workspace/gbsbuild-ROOT/GBS-ROOT/local/BUILD-ROOTS/scratch.i586.21 [ 0s] Using BUILD_ARCH=i686:i586:i486:i386:noarch [ 0s] [ 0s] [ 0s] ip-192-168-56-240 started "build lightweight-web-engine.spec" at Sun Dec 1 23:56:58 UTC 2024. [ 0s] [ 0s] [ 0s] processing recipe /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/sources/tizen_6.0_unified_standard/lightweight-web-engine-1.0.0-1/lightweight-web-engine.spec ... [ 0s] init_buildsystem --configdir /usr/lib/build/configs --cachedir /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/cache --define jobs 8 --define _smp_mflags -j8 --define _costomized_smp_mflags -j20 --repository /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/repos/tizen_6.0_unified_standard/i586/RPMS --repository http://download.tizen.org/snapshots/TIZEN/Tizen-6.0/Tizen-6.0-Base/tizen-6.0-base_20241128.013536/repos/standard/packages/ --repository http://download.tizen.org/snapshots/TIZEN/Tizen-6.0/Tizen-6.0-Base/tizen-6.0-base_20241128.013536/repos/standard/debug/ /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/sources/tizen_6.0_unified_standard/lightweight-web-engine-1.0.0-1/lightweight-web-engine.spec build ... [ 0s] initializing /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/BUILD-ROOTS/scratch.i586.21/.srcfiles.cache ... [ 1s] /usr/lib/build/createdirdeps --oldfile /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/BUILD-ROOTS/scratch.i586.21/.srcfiles.cache /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/repos/tizen_6.0_unified_standard/i586/RPMS [ 1s] /usr/lib/build/createrepomddeps --cachedir=/data/workspace/gbsbuild-ROOT/GBS-ROOT/local/cache http://download.tizen.org/snapshots/TIZEN/Tizen-6.0/Tizen-6.0-Base/tizen-6.0-base_20241128.013536/repos/standard/packages/ [ 3s] /usr/lib/build/createrepomddeps --cachedir=/data/workspace/gbsbuild-ROOT/GBS-ROOT/local/cache http://download.tizen.org/snapshots/TIZEN/Tizen-6.0/Tizen-6.0-Base/tizen-6.0-base_20241128.013536/repos/standard/debug/ [ 4s] expanding package dependencies... [ 5s] copying qemu [ 5s] [ 8s] calculating packages to download... [ 29s] reordering...cycle: gio-branding-upstream -> libgio [ 29s] breaking dependency libgio -> gio-branding-upstream [ 29s] cycle: girepository -> libgirepository [ 29s] breaking dependency libgirepository -> girepository [ 29s] cycle: pkgmgr-info -> pkgmgr-info-parser [ 29s] breaking dependency pkgmgr-info-parser -> pkgmgr-info [ 29s] cycle: efl -> ecore-core [ 29s] breaking dependency efl -> ecore-core [ 29s] cycle: efl -> ecore-con [ 29s] breaking dependency ecore-con -> efl [ 29s] cycle: efl -> ecore-con -> ecore-core [ 29s] breaking dependency ecore-con -> ecore-core [ 29s] cycle: efl -> ecore-con -> eet [ 29s] breaking dependency ecore-con -> eet [ 29s] cycle: efl -> ecore-con -> eina [ 29s] breaking dependency efl -> ecore-con [ 29s] cycle: efl -> eina [ 29s] breaking dependency efl -> eina [ 29s] cycle: efl -> eo [ 29s] breaking dependency eo -> efl [ 29s] cycle: efl -> eo -> eina [ 29s] breaking dependency eo -> eina [ 29s] cycle: evas -> ecore-evas -> ecore-input-evas [ 29s] breaking dependency ecore-evas -> ecore-input-evas [ 29s] cycle: evas -> ecore-evas [ 29s] breaking dependency evas -> ecore-evas [ 29s] cycle: ecore-devel -> ecore-audio-devel [ 29s] breaking dependency ecore-devel -> ecore-audio-devel [ 29s] cycle: ecore-devel -> ecore-buffer-devel [ 29s] breaking dependency ecore-devel -> ecore-buffer-devel [ 29s] cycle: ecore-devel -> ecore-con-devel [ 29s] breaking dependency ecore-devel -> ecore-con-devel [ 29s] cycle: ecore-devel -> ecore-core-devel [ 29s] breaking dependency ecore-devel -> ecore-core-devel [ 29s] cycle: ecore-devel -> ecore-evas-devel [ 29s] breaking dependency ecore-devel -> ecore-evas-devel [ 29s] cycle: ecore-devel -> ecore-fb-devel [ 29s] breaking dependency ecore-devel -> ecore-fb-devel [ 29s] cycle: ecore-devel -> ecore-file-devel [ 29s] breaking dependency ecore-devel -> ecore-file-devel [ 29s] cycle: ecore-devel -> ecore-imf-devel [ 29s] breaking dependency ecore-devel -> ecore-imf-devel [ 29s] cycle: ecore-devel -> ecore-imf-evas-devel [ 29s] breaking dependency ecore-imf-evas-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-imf-evas-devel -> ecore-imf-devel [ 29s] breaking dependency ecore-devel -> ecore-imf-evas-devel [ 29s] cycle: ecore-devel -> ecore-input-devel [ 29s] breaking dependency ecore-devel -> ecore-input-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel [ 29s] breaking dependency ecore-input-evas-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ecore-input-devel [ 29s] breaking dependency ecore-input-evas-devel -> ecore-input-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency efl-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-con-devel [ 29s] breaking dependency efl-devel -> ecore-con-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-evas-devel [ 29s] breaking dependency ecore-evas-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-evas-devel -> ecore-input-devel [ 29s] breaking dependency efl-devel -> ecore-evas-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-input-devel [ 29s] breaking dependency efl-devel -> ecore-input-devel [ 29s] cycle: ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel -> ecore-wl2-devel [ 29s] breaking dependency efl-devel -> ecore-wl2-devel [ 29s] cycle: ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency efl-devel -> ector-devel [ 29s] cycle: elementary-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-devel [ 29s] cycle: elementary-devel -> ecore-con-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-con-devel [ 29s] cycle: elementary-devel -> ecore-evas-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-evas-devel [ 29s] cycle: elementary-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-file-devel [ 29s] cycle: elementary-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-imf-devel [ 29s] cycle: elementary-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-input-devel [ 29s] cycle: elementary-devel -> ecore-wl2-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ecore-wl2-devel [ 29s] cycle: elementary-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> ector-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-audio-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-audio-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-evas-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-evas-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-file-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-imf-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-imf-evas-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-imf-evas-devel [ 29s] cycle: elementary-devel -> edje-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> edje-devel [ 29s] cycle: elementary-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> eet-devel [ 29s] cycle: elementary-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> efl-devel [ 29s] cycle: elementary-devel -> efreet-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> efreet-devel [ 29s] cycle: elementary-devel -> eio-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> eio-devel [ 29s] cycle: elementary-devel -> eldbus-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> eldbus-devel [ 29s] cycle: elementary-devel -> emile-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> emile-devel [ 29s] cycle: elementary-devel -> emotion-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> ecore-devel [ 29s] cycle: elementary-devel -> emotion-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> ecore-file-devel [ 29s] cycle: elementary-devel -> emotion-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> ector-devel [ 29s] cycle: elementary-devel -> emotion-devel -> eet-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> eet-devel [ 29s] cycle: elementary-devel -> emotion-devel -> eeze-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> eeze-devel [ 29s] cycle: elementary-devel -> emotion-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> efl-devel [ 29s] cycle: elementary-devel -> emotion-devel -> eio-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency eio-devel -> ecore-devel [ 29s] cycle: elementary-devel -> emotion-devel -> eio-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency eio-devel -> ecore-file-devel [ 29s] cycle: elementary-devel -> emotion-devel -> eio-devel -> eet-devel -> efl-devel [ 29s] breaking dependency eio-devel -> eet-devel [ 29s] cycle: elementary-devel -> emotion-devel -> eio-devel -> efl-devel [ 29s] breaking dependency emotion-devel -> eio-devel [ 29s] cycle: elementary-devel -> emotion-devel -> emile-devel -> efl-devel [ 29s] breaking dependency elementary-devel -> emotion-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> ecore-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> ecore-evas-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> ecore-evas-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> ecore-file-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> ecore-file-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> ecore-imf-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> ecore-imf-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> ecore-input-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> ector-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> ecore-input-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ecore-input-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> ector-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> eet-devel -> efl-devel [ 29s] breaking dependency edje-devel -> eet-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> efl-devel [ 29s] breaking dependency edje-devel -> efl-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> efreet-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency efreet-devel -> ecore-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> edje-devel -> efreet-devel -> ecore-con-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> edje-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> eet-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> efl-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> eldbus-devel -> ecore-devel -> ecore-input-evas-devel -> ector-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ecore-devel -> ecore-input-evas-devel [ 29s] cycle: ecore-devel -> ecore-ipc-devel [ 29s] breaking dependency ecore-devel -> ecore-ipc-devel [ 29s] cycle: ecore-devel -> ecore-wayland-devel [ 29s] breaking dependency ecore-wayland-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel [ 29s] breaking dependency ecore-input-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> ecore-file-devel [ 29s] breaking dependency ecore-input-devel -> ecore-file-devel [ 29s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel [ 29s] breaking dependency eeze-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel [ 29s] breaking dependency ecore-file-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel -> ecore-con-devel [ 29s] breaking dependency ecore-con-devel -> ecore-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> eldbus-devel -> ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel -> ecore-con-devel -> eet-devel -> efl-devel [ 29s] breaking dependency ecore-con-devel -> eet-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> eldbus-devel -> ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel -> ecore-con-devel -> efl-devel [ 29s] breaking dependency ethumb-devel -> eldbus-devel [ 29s] cycle: elementary-devel -> ethumb-devel -> emile-devel -> efl-devel [ 29s] breaking dependency efl-devel -> elementary-devel [ 29s] cycle: emile-devel -> efl-devel [ 29s] breaking dependency efl-devel -> emile-devel [ 29s] cycle: efl-devel -> evas-devel -> ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel -> ecore-con-devel [ 29s] breaking dependency evas-devel -> ecore-devel [ 29s] cycle: efl-devel -> evas-devel -> ector-devel -> eet-devel [ 29s] breaking dependency evas-devel -> ector-devel [ 29s] cycle: efl-devel -> evas-devel -> eet-devel [ 29s] breaking dependency evas-devel -> eet-devel [ 29s] cycle: efl-devel -> evas-devel [ 29s] breaking dependency evas-devel -> efl-devel [ 29s] cycle: emile-devel -> efl-devel -> evas-devel [ 29s] breaking dependency evas-devel -> emile-devel [ 29s] cycle: libsoftokn3 -> nss [ 29s] breaking dependency nss -> libsoftokn3 [ 29s] cycle: ecore-devel -> ecore-wayland-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel -> ecore-con-devel -> eldbus-devel [ 29s] breaking dependency ecore-devel -> ecore-wayland-devel [ 29s] cycle: ecore-devel -> ecore-wl2-devel [ 29s] breaking dependency ecore-wl2-devel -> ecore-devel [ 29s] cycle: ecore-devel -> ecore-wl2-devel -> ecore-input-devel -> eeze-devel -> ecore-file-devel -> ecore-con-devel -> eldbus-devel [ 29s] breaking dependency ecore-con-devel -> eldbus-devel [ 30s] reordering done [ 36s] deleting GraphicsMagick [ 36s] deleting account-common [ 36s] deleting alarm-server [ 36s] deleting app-core-common [ 36s] deleting app-svc [ 37s] deleting argos_watchdog [ 37s] deleting aul-devel [ 37s] deleting boost-filesystem [ 37s] deleting boost-license [ 37s] deleting boost-program-options [ 37s] deleting boost-regex [ 37s] deleting boost-thread [ 38s] deleting ca-certificates [ 38s] deleting ca-certificates-tizen [ 38s] deleting capi-appfw-app-control [ 38s] deleting capi-appfw-app-control-devel [ 38s] deleting capi-appfw-package-manager [ 38s] deleting capi-context-motion [ 38s] deleting capi-context-motion-devel [ 38s] deleting capi-geofence-manager [ 39s] deleting capi-geofence-manager-devel [ 39s] deleting capi-media-image-util [ 39s] deleting capi-media-metadata-extractor [ 39s] deleting capi-network-wifi-manager [ 39s] deleting capi-network-wifi-manager-devel [ 39s] deleting capi-system-runtime-info-devel [ 39s] deleting capi-system-system-settings [ 39s] deleting cert-svc [ 40s] Running in chroot, ignoring request: stop [ 40s] deleting contacts-service [ 40s] warning: file /usr/lib/systemd/user/contacts-service.service.mobile: remove failed: No such file or directory [ 40s] deleting contacts-service-devel [ 40s] deleting context-common [ 40s] deleting context-common-devel [ 40s] deleting cyad [ 40s] deleting cynara [ 40s] Running in chroot, ignoring request: stop [ 40s] deleting eventsystem [ 41s] deleting glib-networking [ 41s] deleting gst-plugins-base [ 41s] deleting gst-plugins-good [ 41s] deleting jsoncpp [ 41s] deleting jsoncpp-devel [ 41s] deleting key-manager [ 41s] Running in chroot, ignoring request: stop [ 41s] Running in chroot, ignoring request: daemon-reload [ 41s] deleting libaccount-service [ 42s] deleting libalarm [ 42s] deleting libalarm-devel [ 42s] deleting libavcodec [ 42s] deleting libavformat [ 42s] deleting libavutil [ 42s] deleting libcontacts-service [ 42s] deleting libcynara-admin [ 43s] deleting libcynara-agent [ 43s] deleting libcynara-creds-gdbus [ 43s] deleting libexif [ 43s] /sbin/ldconfig: relative path `0' used to build cache [ 43s] warning: %postun(libexif-0.6.21-4.i686) scriptlet failed, exit status 1 [ 43s] deleting libgcrypt [ 43s] deleting libgpg-error [ 43s] deleting libkey-manager-client [ 44s] deleting libkey-manager-common [ 44s] deleting libmm-fileinfo [ 44s] deleting libmm-imgp-gstcs [ 44s] deleting libmm-utility [ 44s] deleting libnss-security-manager [ 45s] deleting liborc [ 45s] deleting libphonenumber [ 45s] deleting libpsl [ 45s] deleting libsecurity-manager-client [ 45s] deleting libslp-db-util [ 45s] deleting libsoup [ 46s] deleting libsqlcipher [ 46s] deleting libswscale [ 46s] deleting libtapi [ 46s] deleting libtheora [ 47s] deleting libtzplatform-config-devel [ 47s] deleting libv4l [ 47s] deleting libvpx [ 47s] deleting libxslt [ 47s] deleting notification [ 47s] deleting notification-devel [ 47s] deleting opencv [ 48s] deleting openssl1.1 [ 48s] deleting opus [ 48s] deleting phonenumber-utils [ 48s] Running in chroot, ignoring request: stop [ 48s] Running in chroot, ignoring request: daemon-reload [ 48s] deleting pims-ipc [ 48s] deleting protobuf-lite [ 48s] deleting security-license-manager [ 49s] Running in chroot, ignoring request: stop [ 49s] Running in chroot, ignoring request: daemon-reload [ 49s] deleting security-manager [ 49s] Running in chroot, ignoring request: stop [ 49s] warning: /opt/dbspace/.security-manager.db-journal saved as /opt/dbspace/.security-manager.db-journal.rpmsave [ 49s] warning: /opt/dbspace/.security-manager.db saved as /opt/dbspace/.security-manager.db.rpmsave [ 49s] Running in chroot, ignoring request: daemon-reload [ 49s] deleting security-manager-policy [ 49s] warning: /opt/var/security-manager/policy-version saved as /opt/var/security-manager/policy-version.rpmsave [ 49s] deleting security-privilege-manager [ 49s] deleting sensord-devel [ 49s] deleting sensord-dummy [ 49s] deleting sqlite [ 49s] deleting sqlite-devel [ 49s] deleting tizen-platform-config-tools [ 50s] deleting vconf-compat-devel [ 50s] deleting vconf-internal-keys-devel [ 50s] deleting xdgmime-devel [ 50s] deleting xmlsec1 [ 50s] deleting xmlsec1-openssl [ 50s] [1/335] keeping default-ac-domains-0.1-1 [ 50s] [2/335] keeping dlog-config-persistent-logs-6.0.16-1 [ 50s] [3/335] keeping libmagic-data-5.37-1.14 [ 50s] [4/335] keeping setup-0.9-1.4 [ 50s] [5/335] keeping filesystem-3.1-1.1 [ 50s] [6/335] keeping glibc-2.30-1.15 [ 50s] [7/335] keeping bash-3.2.57-1.1 [ 50s] [8/335] keeping capi-base-common-0.4.59-1 [ 50s] [9/335] keeping cpio-2.11-3.1 [ 50s] [10/335] keeping diffutils-3.3-1.1 [ 50s] [11/335] keeping findutils-4.3.8-1.14 [ 50s] [12/335] cumulate fribidi-1.0.8-1 [ 50s] [13/335] keeping gdbm-1.8.3-1.14 [ 50s] [14/335] keeping giflib-5.1.9-10 [ 50s] [15/335] keeping hostname-3.23-1.1 [ 50s] [16/335] keeping iniparser-4.1-0 [ 50s] [17/335] keeping libasound-1.0.28-6 [ 50s] [18/335] keeping libatomic-9.2.0-1.13 [ 50s] [19/335] keeping libattr-2.4.47-1.14 [ 50s] [20/335] keeping libblkid-2.34-1.4 [ 50s] [21/335] keeping libbz2-1.0.8-1.12 [ 50s] [22/335] keeping libcap-2.24-1.15 [ 50s] [23/335] cumulate libcares-1.12.0-1.1 [ 50s] [24/335] keeping libdrm-2.4.100-0 [ 50s] [25/335] keeping libexpat-2.2.9-1.3 [ 50s] [26/335] keeping libffi-3.1-1.14 [ 50s] [27/335] keeping libfreebl3-3.87-1.12 [ 50s] [28/335] keeping libgcc-9.2.0-1.13 [ 50s] [29/335] keeping libgomp-9.2.0-1.13 [ 50s] [30/335] cumulate libhyphen-2.8.8-1 [ 50s] [31/335] keeping libitm-9.2.0-1.13 [ 50s] [32/335] keeping libjpeg-8.2.2-0 [ 50s] [33/335] cumulate libjson4-0.13.1-0 [ 50s] [34/335] keeping libltdl-2.4.2-1.14 [ 50s] [35/335] keeping liblua-5.1.5-1.12 [ 50s] [36/335] keeping liblzma-5.2.4-1.12 [ 50s] [37/335] keeping libogg-1.3.2-0 [ 50s] [38/335] keeping libopenssl11-1.1.1w-1.2 [ 50s] [39/335] keeping libpcre-8.43-1.6 [ 50s] [40/335] keeping libpopt-1.16-1.14 [ 50s] [41/335] cumulate libpython-2.7.17-1.12 [ 50s] [42/335] keeping libpython3_7m1_0-3.7.3-1.12 [ 50s] [43/335] keeping libquadmath-9.2.0-1.13 [ 50s] [44/335] keeping libsmack-1.3.1-1.11 [ 50s] [45/335] keeping libsmartcols-2.34-1.4 [ 50s] [46/335] keeping libsqlite-3.33.0-1.14 [ 50s] [47/335] keeping libuuid-2.34-1.4 [ 50s] [48/335] cumulate libwayland-egl-1.18.0-0 [ 50s] [49/335] keeping libwebp-1.1.0-1 [ 50s] [50/335] cumulate libxkbcommon-0.10.0-0 [ 50s] [51/335] keeping m4-1.4.17-1.1 [ 50s] [52/335] keeping net-tools-2.0_20121208git-1.1 [ 50s] [53/335] cumulate nghttp2-1.41.0-1.1 [ 50s] [54/335] keeping nspr-4.35-1.12 [ 50s] [55/335] keeping patch-2.7-1.15 [ 50s] [56/335] keeping pixman-0.38.4-0 [ 50s] [57/335] keeping pkg-config-0.28-1.12 [ 50s] [58/335] keeping sed-4.1c-1.1 [ 50s] [59/335] keeping update-alternatives-1.18.15-1.1 [ 50s] [60/335] keeping which-2.20-4.1 [ 50s] [61/335] keeping xdgmime-0.0.14-0 [ 50s] [62/335] keeping zlib-1.2.11-1.14 [ 50s] [63/335] keeping shadow-utils-4.1.4.2-7.6 [ 50s] [64/335] keeping build-compare-2015.04.28-1.6 [ 50s] [65/335] cumulate giflib-devel-5.1.9-10 [ 50s] [66/335] keeping terminfo-base-full-6.1_20191207-1.12 [ 50s] [67/335] keeping capi-base-common-devel-0.4.59-1 [ 50s] [68/335] keeping coreutils-6.9-14.6 [ 50s] [69/335] keeping cpp-9.2.0-1.13 [ 50s] [70/335] cumulate fribidi-devel-1.0.8-1 [ 50s] [71/335] keeping gawk-3.1.5-1.1 [ 50s] [72/335] keeping gcc-c++-9.2.0-1.13 [ 50s] [73/335] keeping grep-2.5.2-1.1 [ 50s] [74/335] keeping libacl-2.2.52-1.14 [ 51s] [75/335] cumulate libasound-devel-1.0.28-6 [ 51s] [76/335] keeping libblkid-devel-2.34-1.4 [ 51s] [77/335] keeping libcap-tools-2.24-1.15 [ 51s] [78/335] keeping libelf-0.178-1.14 [ 51s] [79/335] keeping libffi-devel-3.1-1.14 [ 51s] [80/335] keeping libglib-2.62.3-0 [ 51s] [81/335] cumulate libjpeg-devel-8.2.2-0 [ 51s] [82/335] keeping libmount-2.34-1.4 [ 51s] [83/335] keeping libpcreposix-8.43-1.6 [ 51s] [84/335] keeping libpng-1.6.37-1 [ 51s] [85/335] 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libgmodule-2.62.3-0 [ 51s] [108/335] keeping libgthread-2.62.3-0 [ 51s] [109/335] keeping linux-glibc-devel-3.10-1.14 [ 51s] [110/335] keeping tar-1.17-1.1 [ 51s] [111/335] keeping autoconf-2.69-1.14 [ 51s] [112/335] keeping binutils-2.33.1-1.14 [ 51s] [113/335] cumulate db4-4.8.30.NC-1.14 [ 51s] [114/335] keeping glibc-locale-2.30-1.15 [ 51s] [115/335] keeping gzip-1.3.12-1.15 [ 51s] [116/335] keeping libcc1-9.2.0-1.13 [ 51s] [117/335] cumulate libfreetype-2.10.1-1 [ 51s] [118/335] keeping libgobject-2.62.3-0 [ 51s] [119/335] keeping libmount-devel-2.34-1.4 [ 51s] [120/335] keeping libubsan-9.2.0-1.13 [ 51s] [121/335] keeping libvorbisenc-1.3.4-0 [ 51s] [122/335] cumulate lottie-player-0.2.0-1 [ 51s] [123/335] cumulate ninja-1.9.0-0 [ 51s] [124/335] keeping pam-1.1.6-1.1 [ 51s] [125/335] keeping tizen-platform-config-5.0-1 [ 51s] [126/335] keeping dlog-common-6.0.16-1 [ 51s] [127/335] keeping libicu-65.1-2.4 [ 51s] [128/335] keeping libncurses6-6.1_20191207-1.12 [ 51s] [129/335] keeping libpcrecpp-8.43-1.6 [ 51s] [130/335] keeping tzdata-2023c-1.1 [ 51s] [131/335] keeping cynara-db-migration-0.16.2-1 [ 51s] [132/335] keeping libdw-0.178-1.14 [ 51s] [133/335] keeping security-config-1.0-1 [ 51s] [134/335] keeping libtiff-4.1.0-1 [ 51s] [135/335] keeping ttrace-1.0.3-1 [ 51s] [136/335] keeping libarchive-3.4.0-1.1 [ 51s] [137/335] keeping shared-mime-info-1.7-0 [ 51s] [138/335] keeping libncurses-6.1_20191207-1.12 [ 51s] [139/335] keeping dlog-logger-6.0.16-1 [ 51s] [140/335] keeping glibc-devel-2.30-1.15 [ 51s] [141/335] keeping less-466-1.1 [ 51s] [142/335] cumulate libicu-devel-65.1-2.4 [ 51s] [143/335] keeping libreadline-5.2-1.14 [ 51s] [144/335] keeping libtzplatform-config-5.0-1 [ 51s] [145/335] keeping automake-1.15.1-1.14 [ 51s] [146/335] keeping libasm-0.178-1.14 [ 51s] [147/335] cumulate lottie-player-devel-0.2.0-1 [ 51s] [148/335] keeping libsndfile-1.0.28-2 [ 51s] [149/335] cumulate ncurses-devel-6.1_20191207-1.12 [ 51s] [150/335] keeping build-20120927-1.1 [ 51s] [151/335] keeping libsystemd-244-0 [ 51s] [152/335] cumulate libcurl-7.68.0-1.1 [ 51s] [153/335] cumulate libcurl-extension-dlp-7.68.0-1.1 [ 52s] [154/335] cumulate libharfbuzz-2.6.4-0 [ 52s] [155/335] keeping pcre-devel-8.43-1.6 [ 52s] [156/335] keeping cmake-3.9.4-1.1 [ 52s] [157/335] cumulate fontconfig-2.13.1-1 [ 52s] [158/335] keeping gcc-9.2.0-1.13 [ 52s] [159/335] keeping dbus-libs-1.12.20-3 [ 52s] [160/335] cumulate readline-devel-5.2-1.14 [ 52s] [161/335] cumulate libxml2-tools-2.9.10-1.12 [ 52s] [162/335] cumulate lua-5.1.5-1.12 [ 52s] [163/335] keeping zlib-devel-1.2.11-1.14 [ 52s] [164/335] cumulate libcurl-devel-7.68.0-1.1 [ 52s] [165/335] cumulate libsndfile-devel-1.0.28-2 [ 52s] [166/335] keeping libtool-2.4.2-1.14 [ 52s] [167/335] keeping elfutils-0.178-1.14 [ 52s] [168/335] keeping python3-3.7.3-1.4 [ 52s] [169/335] keeping libdlog-6.0.16-1 [ 52s] [170/335] cumulate python-2.7.17-1.12 [ 52s] [171/335] keeping util-linux-2.34-1.4 [ 52s] [172/335] keeping systemd-244-0 [ 52s] [173/335] cumulate dbus-devel-1.12.20-3 [ 52s] [174/335] keeping libtracker-1.0.1-1 [ 52s] [175/335] cumulate libwayland-egl-tizen-1.0.1-0 [ 52s] [176/335] keeping libdlog-devel-6.0.16-1 [ 52s] [177/335] keeping libmm-common-0.2.124-0 [ 52s] [178/335] cumulate libopenssl1.1-devel-1.1.1w-1.2 [ 52s] [179/335] keeping libwayland-client-1.18.0-0 [ 52s] [180/335] keeping libwayland-server-1.18.0-0 [ 52s] [181/335] cumulate lua-devel-5.1.5-1.12 [ 52s] [182/335] keeping systemd-devel-244-0 [ 52s] [183/335] keeping util-linux-su-2.34-1.4 [ 52s] [184/335] cumulate python-devel-2.7.17-1.12 [ 52s] [185/335] cumulate libpng-devel-1.6.37-1 [ 52s] [186/335] keeping libpulse-13.0-30 [ 52s] [187/335] keeping libcynara-commons-0.16.2-1 [ 52s] [188/335] cumulate libxml2-devel-2.9.10-1.12 [ 52s] [189/335] keeping capi-system-info-0.5.2-1 [ 52s] [190/335] cumulate libwayland-extension-client-1.3.15-0 [ 52s] [191/335] keeping capi-system-info-devel-0.5.2-1 [ 52s] [192/335] cumulate libwayland-egl-tizen-devel-1.0.1-0 [ 52s] [193/335] keeping pkgmgr-0.12.11-0 [ 52s] [194/335] keeping libcynara-client-0.16.2-1 [ 52s] [195/335] keeping libcynara-creds-commons-0.16.2-1 [ 52s] [196/335] keeping libcynara-session-0.16.2-1 [ 52s] [197/335] cumulate libwayland-cursor-1.18.0-0 [ 53s] [198/335] cumulate ttrace-devel-1.0.3-1 [ 53s] [199/335] cumulate freetype2-devel-2.10.1-1 [ 53s] [200/335] cumulate libpulse-mainloop-glib-13.0-30 [ 53s] [201/335] keeping libtbm-3.3.14-1 [ 53s] [202/335] cumulate libtbm-devel-3.3.14-1 [ 53s] [203/335] cumulate fontconfig-devel-2.13.1-1 [ 53s] [204/335] cumulate libwayland-tbm-client-0.8.4-0 [ 53s] [205/335] keeping capi-media-tool-0.1.21-0 [ 53s] [206/335] keeping libcynara-creds-socket-0.16.2-1 [ 53s] [207/335] cumulate libwayland-tbm-server-0.8.4-0 [ 53s] [208/335] cumulate wayland-devel-1.18.0-0 [ 53s] [209/335] cumulate libtdm-2.12.0-0 [ 53s] [210/335] cumulate libtdm-devel-2.12.0-0 [ 53s] [211/335] cumulate wayland-extension-client-devel-1.3.15-0 [ 53s] [212/335] cumulate capi-media-tool-devel-0.1.21-0 [ 53s] [213/335] cumulate libwayland-tbm-devel-0.8.4-0 [ 53s] [214/335] cumulate libtdm-client-2.12.0-0 [ 53s] [215/335] cumulate libmm-display-interface-0.0.11-0 [ 53s] [216/335] cumulate libtdm-client-devel-2.12.0-0 [ 53s] [217/335] cumulate libtpl-egl-1.7.17-0 [ 53s] [218/335] cumulate coregl-0.2.0-0 [ 53s] [219/335] cumulate coregl-devel-0.2.0-0 [ 53s] [220/335] cumulate eo-1.25.0-0 [ 53s] [221/335] keeping nss-3.87-1.12 [ 53s] [222/335] keeping libgio-2.62.3-0 [ 53s] [223/335] keeping gio-branding-upstream-2.62.3-0 [ 53s] [224/335] keeping libjson-glib-1.4.4-0 [ 53s] [225/335] keeping libsoftokn3-3.87-1.12 [ 53s] [226/335] keeping glib2-tools-2.62.3-0 [ 53s] [227/335] keeping libsyscommon-4.1-0 [ 53s] [228/335] cumulate efl-1.25.0-0 [ 53s] [229/335] keeping libgirepository-1.52.1-0 [ 53s] [230/335] cumulate klay-0.0.2-0 [ 53s] [231/335] keeping pkgmgr-info-parser-0.18.7-1 [ 54s] [232/335] keeping rpm-4.11.0.1-2.8 [ 54s] [233/335] keeping buxton2-1.7.3-0 [ 54s] [234/335] keeping girepository-1.52.1-0 [ 54s] [235/335] cumulate eina-1.25.0-0 [ 54s] [236/335] keeping vconf-compat-1.7.3-0 [ 54s] [237/335] keeping bundle-0.5.5-0 [ 54s] [238/335] keeping rpm-build-4.11.0.1-2.8 [ 54s] [239/335] keeping glib2-devel-2.62.3-0 [ 54s] [240/335] keeping bundle-devel-0.5.5-0 [ 54s] [241/335] cumulate embryo-1.25.0-0 [ 54s] [242/335] cumulate eina-devel-1.25.0-0 [ 54s] [243/335] cumulate harfbuzz-devel-2.6.4-0 [ 54s] [244/335] cumulate libpulse-devel-13.0-30 [ 54s] [245/335] keeping capi-system-runtime-info-0.5.2-1 [ 54s] [246/335] cumulate emile-1.25.0-0 [ 54s] [247/335] cumulate ecore-core-1.25.0-0 [ 54s] [248/335] cumulate libdpm-0.0.1-0 [ 54s] [249/335] cumulate libnet-client-1.2.7-1 [ 54s] [250/335] keeping capi-system-device-0.1.0-0 [ 54s] [251/335] keeping gstreamer-1.16.2-5 [ 54s] [252/335] keeping pkgmgr-info-0.18.7-1 [ 54s] [253/335] keeping libstorage-1.0.0-0 [ 54s] [254/335] cumulate libmm-sound-0.13.6-0 [ 54s] [255/335] keeping capi-system-device-devel-0.1.0-0 [ 54s] [256/335] cumulate ecore-imf-1.25.0-0 [ 54s] [257/335] cumulate eo-devel-1.25.0-0 [ 54s] [258/335] cumulate ecore-audio-1.25.0-0 [ 54s] [259/335] cumulate ecore-buffer-1.25.0-0 [ 54s] [260/335] cumulate eet-1.25.0-0 [ 54s] [261/335] cumulate eldbus-1.25.0-0 [ 54s] [262/335] cumulate capi-network-connection-1.0.124-1 [ 54s] [263/335] cumulate capi-media-sound-manager-0.6.32-0 [ 54s] [264/335] cumulate ecore-con-1.25.0-0 [ 54s] [265/335] keeping pkgmgr-installer-0.12.11-0 [ 54s] [266/335] keeping pkgmgr-client-0.12.11-0 [ 54s] [267/335] cumulate mused-0.3.142-0 [ 54s] [268/335] cumulate capi-media-sound-manager-devel-0.6.32-0 [ 54s] [269/335] cumulate capi-network-connection-devel-1.0.124-1 [ 54s] [270/335] cumulate ector-1.25.0-0 [ 54s] [271/335] cumulate ecore-file-1.25.0-0 [ 54s] [272/335] cumulate ecore-ipc-1.25.0-0 [ 55s] [273/335] cumulate capi-media-audio-io-0.5.39-0 [ 55s] [274/335] cumulate capi-media-player-0.3.144-0 [ 55s] [275/335] keeping aul-0.28.11-1 [ 55s] [276/335] cumulate capi-media-audio-io-devel-0.5.39-0 [ 55s] [277/335] cumulate capi-media-player-devel-0.3.144-0 [ 55s] [278/335] keeping capi-appfw-app-manager-0.10.0-1 [ 55s] [279/335] cumulate eeze-1.25.0-0 [ 55s] [280/335] cumulate efreet-1.25.0-0 [ 55s] [281/335] cumulate ecore-input-1.25.0-0 [ 55s] [282/335] cumulate eio-1.25.0-0 [ 55s] [283/335] cumulate liblbs-location-1.4.7-1 [ 55s] [284/335] cumulate tts-1.60.16-1 [ 55s] [285/335] cumulate tts-devel-1.60.16-1 [ 55s] [286/335] cumulate ecore-fb-1.25.0-0 [ 55s] [287/335] cumulate capi-location-manager-0.8.2-1 [ 55s] [288/335] cumulate ecore-wayland-1.25.0-0 [ 55s] [289/335] cumulate ecore-wl2-1.25.0-0 [ 55s] [290/335] cumulate capi-location-manager-devel-0.8.2-1 [ 55s] [291/335] cumulate evas-1.25.0-0 [ 55s] [292/335] cumulate ecore-imf-evas-1.25.0-0 [ 55s] [293/335] cumulate ecore-input-evas-1.25.0-0 [ 55s] [294/335] cumulate ecore-evas-1.25.0-0 [ 55s] [295/335] cumulate evas-devel-1.25.0-0 [ 55s] [296/335] cumulate efl-devel-1.25.0-0 [ 56s] [297/335] cumulate edje-1.25.0-0 [ 56s] [298/335] cumulate libcairo-1.14.2-0 [ 56s] [299/335] cumulate emile-devel-1.25.0-0 [ 56s] [300/335] cumulate emotion-1.25.0-0 [ 56s] [301/335] cumulate edje-tools-1.25.0-0 [ 56s] [302/335] cumulate libcairo-script-interpreter-1.14.2-0 [ 56s] [303/335] cumulate libcairo-gobject-1.14.2-0 [ 56s] [304/335] cumulate eet-devel-1.25.0-0 [ 56s] [305/335] cumulate ecore-con-devel-1.25.0-0 [ 56s] [306/335] cumulate ethumb-1.25.0-0 [ 56s] [307/335] cumulate emotion-devel-1.25.0-0 [ 56s] [308/335] cumulate ecore-file-devel-1.25.0-0 [ 56s] [309/335] cumulate ector-devel-1.25.0-0 [ 56s] [310/335] cumulate ethumb-devel-1.25.0-0 [ 56s] [311/335] cumulate elementary-1.25.0-0 [ 56s] [312/335] cumulate eeze-devel-1.25.0-0 [ 56s] [313/335] cumulate ecore-input-evas-devel-1.25.0-0 [ 56s] [314/335] cumulate capi-ui-efl-util-0.7.6-1 [ 56s] [315/335] cumulate elementary-devel-1.25.0-0 [ 56s] [316/335] cumulate ecore-input-devel-1.25.0-0 [ 56s] [317/335] cumulate efl-extension-0.1.7-1 [ 56s] [318/335] cumulate efl-extension-devel-0.1.7-1 [ 56s] [319/335] cumulate ecore-evas-devel-1.25.0-0 [ 56s] [320/335] cumulate ecore-wl2-devel-1.25.0-0 [ 56s] [321/335] cumulate ecore-wayland-devel-1.25.0-0 [ 56s] [322/335] cumulate ecore-devel-1.25.0-0 [ 57s] [323/335] cumulate ecore-core-devel-1.25.0-0 [ 57s] [324/335] cumulate embryo-devel-1.25.0-0 [ 57s] [325/335] cumulate ecore-audio-devel-1.25.0-0 [ 57s] [326/335] cumulate ecore-buffer-devel-1.25.0-0 [ 57s] [327/335] cumulate ecore-fb-devel-1.25.0-0 [ 57s] [328/335] cumulate ecore-imf-devel-1.25.0-0 [ 57s] [329/335] cumulate ecore-ipc-devel-1.25.0-0 [ 57s] [330/335] cumulate eldbus-devel-1.25.0-0 [ 57s] [331/335] cumulate cairo-devel-1.14.2-0 [ 57s] [332/335] cumulate ecore-imf-evas-devel-1.25.0-0 [ 57s] [333/335] cumulate efreet-devel-1.25.0-0 [ 57s] [334/335] cumulate eio-devel-1.25.0-0 [ 57s] [335/335] cumulate edje-devel-1.25.0-0 [ 57s] now installing cumulated packages [ 60s] Preparing... ######################################## [ 60s] Updating / installing... [ 60s] ttrace-devel-1.0.3-1 ######################################## [ 60s] libfreetype-2.10.1-1 ######################################## [ 60s] fontconfig-2.13.1-1 ######################################## [ 61s] libwayland-extension-client-1.3.15-0 ######################################## [ 61s] libwayland-egl-1.18.0-0 ######################################## [ 61s] libtbm-devel-3.3.14-1 ######################################## [ 61s] libjpeg-devel-8.2.2-0 ######################################## [ 61s] libwayland-tbm-client-0.8.4-0 ######################################## [ 62s] libwayland-egl-tizen-1.0.1-0 ######################################## [ 62s] eo-1.25.0-0 ######################################## [ 62s] eina-1.25.0-0 ######################################## [ 62s] emile-1.25.0-0 ######################################## [ 63s] ecore-core-1.25.0-0 ######################################## [ 63s] eet-1.25.0-0 ######################################## [ 63s] ecore-con-1.25.0-0 ######################################## [ 63s] efl-1.25.0-0 ######################################## [ 63s] eina-devel-1.25.0-0 ######################################## [ 63s] eo-devel-1.25.0-0 ######################################## [ 63s] ecore-file-1.25.0-0 ######################################## [ 63s] ector-1.25.0-0 ######################################## [ 63s] eldbus-1.25.0-0 ######################################## [ 63s] eeze-1.25.0-0 ######################################## [ 64s] ecore-input-1.25.0-0 ######################################## [ 64s] ecore-imf-1.25.0-0 ######################################## [ 64s] ecore-ipc-1.25.0-0 ######################################## [ 64s] efreet-1.25.0-0 ######################################## [ 64s] eio-1.25.0-0 ######################################## [ 64s] libwayland-cursor-1.18.0-0 ######################################## [ 64s] wayland-devel-1.18.0-0 ######################################## [ 64s] wayland-extension-client-devel-1.3.15-######################################## [ 64s] libpng-devel-1.6.37-1 ######################################## [ 64s] freetype2-devel-2.10.1-1 ######################################## [ 64s] libxkbcommon-0.10.0-0 ######################################## [ 65s] libxkbcommon-devel-0.10.0-0 ######################################## [ 65s] dbus-devel-1.12.20-3 ######################################## [ 65s] libuuid-devel-2.34-1.4 ######################################## [ 65s] ecore-wl2-1.25.0-0 ######################################## [ 65s] fontconfig-devel-2.13.1-1 ######################################## [ 65s] ecore-fb-1.25.0-0 ######################################## [ 65s] embryo-1.25.0-0 ######################################## [ 65s] ecore-audio-1.25.0-0 ######################################## [ 65s] libharfbuzz-2.6.4-0 ######################################## [ 66s] libtdm-2.12.0-0 ######################################## [ 66s] libtdm-client-2.12.0-0 ######################################## [ 66s] libwayland-tbm-server-0.8.4-0 ######################################## [ 66s] libwayland-tbm-devel-0.8.4-0 ######################################## [ 66s] lottie-player-0.2.0-1 ######################################## [ 66s] nghttp2-1.41.0-1.1 ######################################## [ 66s] libpython-2.7.17-1.12 ######################################## [ 67s] libcares-1.12.0-1.1 ######################################## [ 67s] fribidi-1.0.8-1 ######################################## [ 67s] fribidi-devel-1.0.8-1 ######################################## [ 67s] libtdm-devel-2.12.0-0 ######################################## [ 67s] libtdm-client-devel-2.12.0-0 ######################################## [ 67s] libwayland-egl-tizen-devel-1.0.1-0 ######################################## [ 67s] capi-media-tool-devel-0.1.21-0 ######################################## [ 67s] libsndfile-devel-1.0.28-2 ######################################## [ 68s] libicu-devel-65.1-2.4 ######################################## [ 68s] harfbuzz-devel-2.6.4-0 ######################################## [ 68s] xz-devel-5.2.4-1.12 ######################################## [ 68s] pixman-devel-0.38.4-0 ######################################## [ 68s] libcurl-7.68.0-1.1 ######################################## [ 68s] libcurl-extension-dlp-7.68.0-1.1 ######################################## [ 68s] lottie-player-devel-0.2.0-1 ######################################## [ 68s] libtpl-egl-1.7.17-0 ######################################## [ 69s] coregl-0.2.0-0 ######################################## [ 69s] coregl-devel-0.2.0-0 ######################################## [ 69s] ecore-wayland-1.25.0-0 ######################################## [ 69s] ecore-buffer-1.25.0-0 ######################################## [ 69s] liblbs-location-1.4.7-1 ######################################## [ 69s] capi-location-manager-0.8.2-1 ######################################## [ 69s] libmm-sound-0.13.6-0 ######################################## [ 70s] capi-media-sound-manager-0.6.32-0 ######################################## [ 70s] capi-media-sound-manager-devel-0.6.32-######################################## [ 70s] libnet-client-1.2.7-1 ######################################## [ 70s] capi-network-connection-1.0.124-1 ######################################## [ 70s] klay-0.0.2-0 ######################################## [ 71s] libdpm-0.0.1-0 ######################################## [ 71s] capi-media-audio-io-0.5.39-0 ######################################## [ 71s] tts-1.60.16-1 ######################################## [ 72s] libmm-display-interface-0.0.11-0 ######################################## [ 72s] libpulse-mainloop-glib-13.0-30 ######################################## [ 72s] lua-5.1.5-1.12 ######################################## [ 72s] lua-devel-5.1.5-1.12 ######################################## [ 72s] libxml2-tools-2.9.10-1.12 ######################################## [ 72s] ncurses-devel-6.1_20191207-1.12 ######################################## [ 72s] readline-devel-5.2-1.14 ######################################## [ 72s] db4-4.8.30.NC-1.14 ######################################## [ 74s] python-2.7.17-1.12 ######################################## [ 74s] libjson4-0.13.1-0 ######################################## [ 74s] mused-0.3.142-0 ######################################## [ 75s] capi-media-player-0.3.144-0 ######################################## [ 75s] libhyphen-2.8.8-1 ######################################## [ 75s] capi-media-player-devel-0.3.144-0 ######################################## [ 76s] python-devel-2.7.17-1.12 ######################################## [ 76s] libxml2-devel-2.9.10-1.12 ######################################## [ 76s] libpulse-devel-13.0-30 ######################################## [ 76s] tts-devel-1.60.16-1 ######################################## [ 76s] capi-media-audio-io-devel-0.5.39-0 ######################################## [ 76s] capi-network-connection-devel-1.0.124-######################################## [ 76s] capi-location-manager-devel-0.8.2-1 ######################################## [ 76s] libcurl-devel-7.68.0-1.1 ######################################## [ 76s] libopenssl1.1-devel-1.1.1w-1.2 ######################################## [ 76s] libasound-devel-1.0.28-6 ######################################## [ 76s] giflib-devel-5.1.9-10 ######################################## [ 76s] ecore-input-evas-1.25.0-0 ######################################## [ 76s] ecore-evas-1.25.0-0 ######################################## [ 77s] evas-1.25.0-0 ######################################## [ 77s] libcairo-1.14.2-0 ######################################## [ 77s] ecore-imf-evas-1.25.0-0 ######################################## [ 77s] edje-1.25.0-0 ######################################## [ 78s] emotion-1.25.0-0 ######################################## [ 78s] ethumb-1.25.0-0 ######################################## [ 78s] elementary-1.25.0-0 ######################################## [ 78s] capi-ui-efl-util-0.7.6-1 ######################################## [ 79s] efl-extension-0.1.7-1 ######################################## [ 79s] edje-tools-1.25.0-0 ######################################## [ 79s] emile-devel-1.25.0-0 ######################################## [ 79s] eet-devel-1.25.0-0 ######################################## [ 79s] ector-devel-1.25.0-0 ######################################## [ 79s] evas-devel-1.25.0-0 ######################################## [ 79s] ecore-core-devel-1.25.0-0 ######################################## [ 79s] embryo-devel-1.25.0-0 ######################################## [ 79s] ecore-audio-devel-1.25.0-0 ######################################## [ 79s] ecore-buffer-devel-1.25.0-0 ######################################## [ 79s] eeze-devel-1.25.0-0 ######################################## [ 79s] ecore-input-evas-devel-1.25.0-0 ######################################## [ 79s] ecore-evas-devel-1.25.0-0 ######################################## [ 79s] ecore-wl2-devel-1.25.0-0 ######################################## [ 79s] ecore-wayland-devel-1.25.0-0 ######################################## [ 79s] ecore-fb-devel-1.25.0-0 ######################################## [ 79s] ecore-imf-devel-1.25.0-0 ######################################## [ 79s] ecore-input-devel-1.25.0-0 ######################################## [ 79s] ecore-file-devel-1.25.0-0 ######################################## [ 79s] ecore-ipc-devel-1.25.0-0 ######################################## [ 79s] ecore-con-devel-1.25.0-0 ######################################## [ 79s] eldbus-devel-1.25.0-0 ######################################## [ 79s] ecore-devel-1.25.0-0 ######################################## [ 79s] ecore-imf-evas-devel-1.25.0-0 ######################################## [ 79s] efreet-devel-1.25.0-0 ######################################## [ 79s] emotion-devel-1.25.0-0 ######################################## [ 79s] eio-devel-1.25.0-0 ######################################## [ 79s] ethumb-devel-1.25.0-0 ######################################## [ 79s] edje-devel-1.25.0-0 ######################################## [ 79s] efl-devel-1.25.0-0 ######################################## [ 80s] elementary-devel-1.25.0-0 ######################################## [ 80s] libcairo-script-interpreter-1.14.2-0 ######################################## [ 80s] libcairo-gobject-1.14.2-0 ######################################## [ 80s] cairo-devel-1.14.2-0 ######################################## [ 80s] efl-extension-devel-0.1.7-1 ######################################## [ 80s] ninja-1.9.0-0 ######################################## [ 80s] removing nis flags from /data/workspace/gbsbuild-ROOT/GBS-ROOT/local/BUILD-ROOTS/scratch.i586.21/etc/nsswitch.conf... [ 80s] now finalizing build dir... [ 81s] ----------------------------------------------------------------- [ 81s] ----- building lightweight-web-engine.spec (user abuild) [ 81s] ----------------------------------------------------------------- [ 81s] ----------------------------------------------------------------- [ 81s] + exec rpmbuild --define 'jobs 8' --define '_smp_mflags -j8' --define '_costomized_smp_mflags -j20' --define '_srcdefattr (-,root,root)' --nosignature --target=i686-tizen-linux --define '_build_create_debug 1' -ba /home/abuild/rpmbuild/SOURCES/lightweight-web-engine.spec [ 81s] Building target platforms: i686-tizen-linux [ 81s] Building for target i686-tizen-linux [ 81s] Executing(%prep): /bin/sh -e /var/tmp/rpm-tmp.ABc8pa [ 81s] + umask 022 [ 81s] + cd /home/abuild/rpmbuild/BUILD [ 81s] + cd /home/abuild/rpmbuild/BUILD [ 81s] + rm -rf lightweight-web-engine-1.0.0 [ 81s] + /bin/gzip -dc /home/abuild/rpmbuild/SOURCES/lightweight-web-engine-1.0.0.tar.gz [ 81s] + /bin/tar -xf - [ 84s] + STATUS=0 [ 84s] + '[' 0 -ne 0 ']' [ 84s] + cd lightweight-web-engine-1.0.0 [ 84s] + /bin/chmod -Rf a+rX,u+w,g-w,o-w . [ 84s] + exit 0 [ 84s] Executing(%build): /bin/sh -e /var/tmp/rpm-tmp.a0vwba [ 84s] + umask 022 [ 84s] + cd /home/abuild/rpmbuild/BUILD [ 84s] + cd lightweight-web-engine-1.0.0 [ 84s] + [[ i386 == \a\a\r\c\h\6\4 ]] [ 84s] + LANG=C [ 84s] + export LANG [ 84s] + unset DISPLAY [ 84s] + 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 -feliminate-unused-debug-types --param=ssp-buffer-size=4 -fdiagnostics-color=never -m32 -march=i686 -mtune=i686 -msse4.2 -mfpmath=sse -fasynchronous-unwind-tables -fno-omit-frame-pointer -mstackrealign -Wl,-z,noseparate-code -g' [ 84s] + export CFLAGS [ 84s] + 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 -feliminate-unused-debug-types --param=ssp-buffer-size=4 -fdiagnostics-color=never -m32 -march=i686 -mtune=i686 -msse4.2 -mfpmath=sse -fasynchronous-unwind-tables -fno-omit-frame-pointer -mstackrealign -Wl,-z,noseparate-code -g' [ 84s] + export CXXFLAGS [ 84s] + 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 -feliminate-unused-debug-types --param=ssp-buffer-size=4 -fdiagnostics-color=never -m32 -march=i686 -mtune=i686 -msse4.2 -mfpmath=sse -fasynchronous-unwind-tables -fno-omit-frame-pointer -mstackrealign -Wl,-z,noseparate-code -g -I%_fmoddir' [ 84s] + export FFLAGS [ 84s] + LDFLAGS= [ 84s] + export LDFLAGS [ 84s] + echo 'Building for: ' all [ 84s] Building for: all [ 84s] + CXXFLAGS+=' -DSTARFISH_TIZEN_MAJOR_VERSION=6 ' [ 84s] + CXXFLAGS+=' -DSTARFISH_TIZEN_VERSION_6_0 ' [ 84s] + rm -f CMakeCache.txt [ 84s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DUSE_EMBEDDED_IMAGE_DECODER=0 -DMODE=release -DHOST=tizen -DARCH=i686 -DCUSTOM=unified_tv -DBACKEND=dali -DLTO=1 -DTARGETNAME=lightweight-web-engine-dali-plugin.tv -G Ninja [ 84s] -- The C compiler identification is GNU 9.2.0 [ 84s] -- The CXX compiler identification is GNU 9.2.0 [ 84s] -- Check for working C compiler: /bin/cc [ 84s] -- Check for working C compiler: /bin/cc -- works [ 84s] -- Detecting C compiler ABI info [ 84s] -- Detecting C compiler ABI info - done [ 84s] -- Detecting C compile features [ 84s] -- Detecting C compile features - done [ 84s] -- Check for working CXX compiler: /bin/c++ [ 85s] -- Check for working CXX compiler: /bin/c++ -- works [ 85s] -- Detecting CXX compiler ABI info [ 85s] -- Detecting CXX compiler ABI info - done [ 85s] -- Detecting CXX compile features [ 85s] -- Detecting CXX compile features - done [ 85s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 85s] -- Checking for modules 'dlog;libpng;freetype2;fontconfig;harfbuzz;elementary;ecore' [ 85s] -- Found dlog, version 1.0 [ 85s] -- Found libpng, version 1.6.37 [ 85s] -- Found freetype2, version 23.1.17 [ 85s] -- Found fontconfig, version 2.13.1 [ 85s] -- Found harfbuzz, version 2.6.4 [ 85s] -- Found elementary, version 1.25.0 [ 85s] -- Found ecore, version 1.25.0 [ 85s] -- Checking for module 'cairo' [ 85s] -- Found cairo, version 1.14.2 [ 85s] -- Checking for modules 'capi-network-connection;capi-media-player;capi-media-audio-io' [ 85s] -- Found capi-network-connection, version [ 85s] -- Found capi-media-player, version [ 85s] -- Found capi-media-audio-io, version [ 85s] -- Looking for cap_set_flag in cap [ 85s] -- Looking for cap_set_flag in cap - not found [ 85s] -- Checking for module 'dlog' [ 85s] -- Found dlog, version 1.0 [ 85s] -- Starfish [ 85s] -- 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-feliminate-unused-debug-types--param=ssp-buffer-size=4-fdiagnostics-color=never-m32-march=i686-mtune=i686-msse4.2-mfpmath=sse-fasynchronous-unwind-tables-fno-omit-frame-pointer-mstackrealign-Wl,-z,noseparate-code-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_0 [ 85s] -- 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 [ 85s] -- 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 [ 85s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 85s] -- 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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/fribidi/usr/include/harfbuzz/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/i686/release/include [ 85s] -- Configuring done [ 86s] -- Generating done [ 86s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 86s] + ninja starfish.shared_library [ 87s] [1/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FREE.cpp.o [ 87s] [2/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.Atom.cpp.o [ 87s] [3/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FullBox.cpp.o [ 87s] [4/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.HDLR.cpp.o [ 87s] [5/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MDHD.cpp.o [ 87s] [6/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.BXML.cpp.o [ 87s] [7/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.CO64.cpp.o [ 87s] [8/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MEHD.cpp.o [ 87s] [9/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.File.cpp.o [ 87s] [10/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ESDS.cpp.o [ 87s] [11/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.AVCC.cpp.o [ 87s] [12/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.CTTS.cpp.o [ 87s] [13/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ContainerAtom.cpp.o [ 87s] [14/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.HMHD.cpp.o [ 87s] [15/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.DataAtom.cpp.o [ 87s] [16/1138] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.MDAT.cpp.o [ 87s] [17/1138] Building CXX object 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[137/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinDate.cpp.o [ 97s] [138/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinSet.cpp.o [ 98s] [139/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinNumber.cpp.o [ 98s] [140/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ObjectStructurePropertyDescriptor.cpp.o [ 98s] [141/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/JobQueue.cpp.o [ 98s] [142/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinSymbol.cpp.o [ 98s] [143/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinWeakMap.cpp.o [ 98s] [144/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinPromise.cpp.o [ 98s] [145/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/interpreter/ByteCodeInterpreter.cpp.o [ 98s] [146/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IEEE754.cpp.o [ 98s] third_party/escargot/src/runtime/IEEE754.cpp: In function 'double Escargot::ieee754::ceil(double)': [ 98s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 98s] 86 | #define __LO(x) *(int *)&x [ 98s] | ^~~~~~~~~ [ 98s] 87 | #define __HIp(x) *(1 + (int *)x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 88 | #define __LOp(x) *(int *)x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 89 | [ 98s] | [ 98s] 90 | #else [ 98s] | ~~~~~ [ 98s] 91 | [ 98s] | [ 98s] 92 | typedef union { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 93 | double value; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 94 | struct { [ 98s] | ~~~~~~~~ [ 98s] 95 | uint32_t msw; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 96 | uint32_t lsw; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 97 | } parts; [ 98s] | ~~~~~~~~ [ 98s] 98 | struct { [ 98s] | ~~~~~~~~ [ 98s] 99 | uint64_t w; [ 98s] | ~~~~~~~~~~~ [ 98s] 100 | } xparts; [ 98s] | ~~~~~~~~~ [ 98s] 101 | } ieee_double_shape_type; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 102 | [ 98s] | [ 98s] 103 | #define __HI(x) *(int *)&x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 104 | #define __LO(x) *(1 + (int *)&x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 105 | #define __HIp(x) *(int *)x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 106 | #define __LOp(x) *(1 + (int *)x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 107 | [ 98s] | [ 98s] 108 | #endif [ 98s] | ~~~~~~ [ 98s] 109 | [ 98s] | [ 98s] 110 | /* Get two 32 bit ints from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 111 | [ 98s] | [ 98s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 113 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 114 | ieee_double_shape_type ew_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 115 | ew_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 116 | (ix0) = ew_u.parts.msw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 117 | (ix1) = ew_u.parts.lsw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 118 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 119 | [ 98s] | [ 98s] 120 | /* Get a 64-bit int from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 122 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 123 | ieee_double_shape_type ew_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 124 | ew_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 125 | (ix) = ew_u.xparts.w; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 126 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 127 | [ 98s] | [ 98s] 128 | /* Get the more significant 32 bit int from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 129 | [ 98s] | [ 98s] 130 | #define GET_HIGH_WORD(i, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 131 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 132 | ieee_double_shape_type gh_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 133 | gh_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 134 | (i) = gh_u.parts.msw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 135 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 136 | [ 98s] | [ 98s] 137 | /* Get the less significant 32 bit int from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 138 | [ 98s] | [ 98s] 139 | #define GET_LOW_WORD(i, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 140 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 141 | ieee_double_shape_type gl_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 142 | gl_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 143 | (i) = gl_u.parts.lsw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 144 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 145 | [ 98s] | [ 98s] 146 | /* Set a double from two 32 bit ints. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 147 | [ 98s] | [ 98s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 149 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 150 | ieee_double_shape_type iw_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 151 | iw_u.parts.msw = (ix0); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 152 | iw_u.parts.lsw = (ix1); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 153 | (d) = iw_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 154 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 155 | [ 98s] | [ 98s] 156 | /* Set a double from a 64-bit int. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 157 | #define INSERT_WORD64(d, ix) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 158 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 159 | ieee_double_shape_type iw_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 160 | iw_u.xparts.w = (ix); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 161 | (d) = iw_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 162 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 163 | [ 98s] | [ 98s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 165 | [ 98s] | [ 98s] 166 | #define SET_HIGH_WORD(d, v) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 167 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 168 | ieee_double_shape_type sh_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 169 | sh_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 170 | sh_u.parts.msw = (v); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 171 | (d) = sh_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 172 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 173 | [ 98s] | [ 98s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 175 | [ 98s] | [ 98s] 176 | #define SET_LOW_WORD(d, v) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 177 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 178 | ieee_double_shape_type sl_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 179 | sl_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 180 | sl_u.parts.lsw = (v); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 181 | (d) = sl_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 182 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 183 | [ 98s] | [ 98s] 184 | /* Support macro. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 185 | [ 98s] | [ 98s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 187 | [ 98s] | [ 98s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 193 | [ 98s] | [ 98s] 194 | /* __ieee754_rem_pio2(x,y) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 195 | * [ 98s] | ~ [ 98s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 197 | * use __kernel_rem_pio2() [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 198 | */ [ 98s] | ~~ [ 98s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 200 | { [ 98s] | ~ [ 98s] 201 | /* [ 98s] | ~~ [ 98s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 203 | */ [ 98s] | ~~ [ 98s] 204 | constexpr int32_t two_over_pi[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 205 | 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, 0x95993C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 206 | 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, 0x424DD2, 0xE00649, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 207 | 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, 0xA73EE8, 0x8235F5, 0x2EBB44, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 208 | 0x84E99C, 0x7026B4, 0x5F7E41, 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 209 | 0xBDF928, 0x3B1FF8, 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 210 | 0x367ECF, 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 211 | 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, 0x560330, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 212 | 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, 0x91615E, 0xE61B08, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 213 | 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, 0x4D7327, 0x310606, 0x1556CA, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 214 | 0x73A8C9, 0x60E27B, 0xC08C6B, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 215 | }; [ 98s] | ~~ [ 98s] 216 | [ 98s] | [ 98s] 217 | constexpr int32_t npio2_hw[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 218 | 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 219 | 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 220 | 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 221 | 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 222 | 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 223 | 0x404858EB, 0x404921FB, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 224 | }; [ 98s] | ~~ [ 98s] 225 | [ 98s] | [ 98s] 226 | /* [ 98s] | ~~ [ 98s] 227 | * invpio2: 53 bits of 2/pi [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 228 | * pio2_1: first 33 bit of pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 229 | * pio2_1t: pi/2 - pio2_1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 230 | * pio2_2: second 33 bit of pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 231 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 232 | * pio2_3: third 33 bit of pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 233 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 234 | */ [ 98s] | ~~ [ 98s] 235 | [ 98s] | [ 98s] 236 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 237 | zero [ 98s] | ~~~~ [ 98s] 238 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 239 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 240 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 241 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 242 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 243 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 244 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 245 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 246 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 247 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 248 | [ 98s] | [ 98s] 249 | double z, w, t, r, fn; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 250 | double tx[3]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 251 | int32_t e0, i, j, nx, n, ix, hx; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 252 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 253 | [ 98s] | [ 98s] 254 | z = 0; [ 98s] | ~~~~~~ [ 98s] 255 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 256 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 257 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 258 | y[0] = x; [ 98s] | ~~~~~~~~~ [ 98s] 259 | y[1] = 0; [ 98s] | ~~~~~~~~~ [ 98s] 260 | return 0; [ 98s] | ~~~~~~~~~ [ 98s] 261 | } [ 98s] | ~ [ 98s] 262 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 263 | if (hx > 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 264 | z = x - pio2_1; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 265 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 266 | y[0] = z - pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 267 | y[1] = (z - y[0]) - pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 268 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 269 | z -= pio2_2; [ 98s] | ~~~~~~~~~~~~ [ 98s] 270 | y[0] = z - pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 271 | y[1] = (z - y[0]) - pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 272 | } [ 98s] | ~ [ 98s] 273 | return 1; [ 98s] | ~~~~~~~~~ [ 98s] 274 | } else { /* negative x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 275 | z = x + pio2_1; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 276 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 277 | y[0] = z + pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 278 | y[1] = (z - y[0]) + pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 279 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 280 | z += pio2_2; [ 98s] | ~~~~~~~~~~~~ [ 98s] 281 | y[0] = z + pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 282 | y[1] = (z - y[0]) + pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 283 | } [ 98s] | ~ [ 98s] 284 | return -1; [ 98s] | ~~~~~~~~~~ [ 98s] 285 | } [ 98s] | ~ [ 98s] 286 | } [ 98s] | ~ [ 98s] 287 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 288 | t = fabs(x); [ 98s] | ~~~~~~~~~~~~ [ 98s] 289 | n = static_cast(t * invpio2 + half); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 290 | fn = static_cast(n); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 291 | r = t - fn * pio2_1; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 292 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 293 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 294 | y[0] = r - w; /* quick check no cancellation */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 295 | } else { [ 98s] | ~~~~~~~~ [ 98s] 296 | uint32_t high; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 297 | j = ix >> 20; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 298 | y[0] = r - w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 299 | GET_HIGH_WORD(high, y[0]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 300 | i = j - ((high >> 20) & 0x7FF); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 301 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 302 | t = r; [ 98s] | ~~~~~~ [ 98s] 303 | w = fn * pio2_2; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 304 | r = t - w; [ 98s] | ~~~~~~~~~~ [ 98s] 305 | w = fn * pio2_2t - ((t - r) - w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 306 | y[0] = r - w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 307 | GET_HIGH_WORD(high, y[0]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 308 | i = j - ((high >> 20) & 0x7FF); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 309 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 310 | t = r; /* will cover all possible cases */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 311 | w = fn * pio2_3; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 312 | r = t - w; [ 98s] | ~~~~~~~~~~ [ 98s] 313 | w = fn * pio2_3t - ((t - r) - w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 314 | y[0] = r - w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 315 | } [ 98s] | ~ [ 98s] 316 | } [ 98s] | ~ [ 98s] 317 | } [ 98s] | ~ [ 98s] 318 | y[1] = (r - y[0]) - w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 319 | if (hx < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 320 | y[0] = -y[0]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 321 | y[1] = -y[1]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 322 | return -n; [ 98s] | ~~~~~~~~~~ [ 98s] 323 | } else { [ 98s] | ~~~~~~~~ [ 98s] 324 | return n; [ 98s] | ~~~~~~~~~ [ 98s] 325 | } [ 98s] | ~ [ 98s] 326 | } [ 98s] | ~ [ 98s] 327 | /* [ 98s] | ~~ [ 98s] 328 | * all other (large) arguments [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 329 | */ [ 98s] | ~~ [ 98s] 330 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 331 | y[0] = y[1] = x - x; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 332 | return 0; [ 98s] | ~~~~~~~~~ [ 98s] 333 | } [ 98s] | ~ [ 98s] 334 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 335 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 336 | SET_LOW_WORD(z, low); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 337 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 338 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 339 | for (i = 0; i < 2; i++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 340 | tx[i] = static_cast(static_cast(z)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 341 | z = (z - tx[i]) * two24; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 342 | } [ 98s] | ~ [ 98s] 343 | tx[2] = z; [ 98s] | ~~~~~~~~~~ [ 98s] 344 | nx = 3; [ 98s] | ~~~~~~~ [ 98s] 345 | while (tx[nx - 1] == zero) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 346 | nx--; /* skip zero term */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 347 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 348 | if (hx < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 349 | y[0] = -y[0]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 350 | y[1] = -y[1]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 351 | return -n; [ 98s] | ~~~~~~~~~~ [ 98s] 352 | } [ 98s] | ~ [ 98s] 353 | return n; [ 98s] | ~~~~~~~~~ [ 98s] 354 | } [ 98s] | ~ [ 98s] 355 | [ 98s] | [ 98s] 356 | /* __kernel_cos( x, y ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 357 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 358 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 359 | * Input y is the tail of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 360 | * [ 98s] | ~ [ 98s] 361 | * Algorithm [ 98s] | ~~~~~~~~~~~ [ 98s] 362 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 363 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 364 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 365 | * [0,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 366 | * 4 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 367 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 368 | * where the remez error is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 369 | * [ 98s] | ~ [ 98s] 370 | * | 2 4 6 8 10 12 14 | -58 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 371 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 372 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 373 | * [ 98s] | ~ [ 98s] 374 | * 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 375 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 376 | * cos(x) = 1 - x*x/2 + r [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 377 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 378 | * ~ cos(x) - x*y, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 379 | * a correction term is necessary in cos(x) and hence [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 380 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 381 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 382 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 383 | * Then [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 384 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 385 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 386 | * magnitude of the latter is at least a quarter of x*x/2, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 387 | * thus, reducing the rounding error in the subtraction. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 388 | */ [ 98s] | ~~ [ 98s] 389 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 390 | { [ 98s] | ~ [ 98s] 391 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 392 | one [ 98s] | ~~~ [ 98s] 393 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 394 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 395 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 396 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 397 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 398 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 399 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 400 | [ 98s] | [ 98s] 401 | double a, iz, z, r, qx; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 402 | int32_t ix; [ 98s] | ~~~~~~~~~~~ [ 98s] 403 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 404 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 405 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 406 | return one; /* generate inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 407 | } [ 98s] | ~ [ 98s] 408 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 409 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 410 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 411 | return one - (0.5 * z - (z * r - x * y)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 412 | } else { [ 98s] | ~~~~~~~~ [ 98s] 413 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 414 | qx = 0.28125; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 415 | } else { [ 98s] | ~~~~~~~~ [ 98s] 416 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 417 | } [ 98s] | ~ [ 98s] 418 | iz = 0.5 * z - qx; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 419 | a = one - qx; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 420 | return a - (iz - (z * r - x * y)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 421 | } [ 98s] | ~ [ 98s] 422 | } [ 98s] | ~ [ 98s] 423 | [ 98s] | [ 98s] 424 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 425 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 426 | * [ 98s] | ~ [ 98s] 427 | * __kernel_rem_pio2 return the last three digits of N with [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 428 | * y = x - N*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 429 | * so that |y| < pi/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 430 | * [ 98s] | ~ [ 98s] 431 | * The method is to compute the integer (mod 8) and fraction parts of [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 432 | * (2/pi)*x without doing the full multiplication. In general we [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 433 | * skip the part of the product that are known to be a huge integer ( [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 434 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 435 | * independent of the exponent of the input. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 436 | * [ 98s] | ~ [ 98s] 437 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 438 | * [ 98s] | ~ [ 98s] 439 | * Input parameters: [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 440 | * x[] The input value (must be positive) is broken into nx [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 441 | * pieces of 24-bit integers in double precision format. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 442 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 443 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 444 | * match x's up to 24 bits. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 445 | * [ 98s] | ~ [ 98s] 446 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 447 | * e0 = ilogb(z)-23 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 448 | * z = scalbn(z,-e0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 449 | * for i = 0,1,2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 450 | * x[i] = floor(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 451 | * z = (z-x[i])*2**24 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 452 | * [ 98s] | ~ [ 98s] 453 | * [ 98s] | ~ [ 98s] 454 | * y[] output result in an array of double precision numbers. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 455 | * The dimension of y[] is: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 456 | * 24-bit precision 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 457 | * 53-bit precision 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 458 | * 64-bit precision 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 459 | * 113-bit precision 3 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 460 | * The actual value is the sum of them. Thus for 113-bit [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 461 | * precison, one may have to do something like: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 462 | * [ 98s] | ~ [ 98s] 463 | * long double t,w,r_head, r_tail; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 464 | * t = (long double)y[2] + (long double)y[1]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 465 | * w = (long double)y[0]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 466 | * r_head = t+w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 467 | * r_tail = w - (r_head - t); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 468 | * [ 98s] | ~ [ 98s] 469 | * e0 The exponent of x[0] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 470 | * [ 98s] | ~ [ 98s] 471 | * nx dimension of x[] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 472 | * [ 98s] | ~ [ 98s] 473 | * prec an integer indicating the precision: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 474 | * 0 24 bits (single) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 475 | * 1 53 bits (double) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 476 | * 2 64 bits (extended) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 477 | * 3 113 bits (quad) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 478 | * [ 98s] | ~ [ 98s] 479 | * ipio2[] [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 480 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 481 | * bit of 2/pi after binary point. The corresponding [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 482 | * floating value is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 483 | * [ 98s] | ~ [ 98s] 484 | * ipio2[i] * 2^(-24(i+1)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 485 | * [ 98s] | ~ [ 98s] 486 | * External function: [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 487 | * double scalbn(), floor(); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 488 | * [ 98s] | ~ [ 98s] 489 | * [ 98s] | ~ [ 98s] 490 | * Here is the description of some local variables: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 491 | * [ 98s] | ~ [ 98s] 492 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 493 | * in the computation. The recommended value is 2,3,4, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 494 | * 6 for single, double, extended,and quad. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 495 | * [ 98s] | ~ [ 98s] 496 | * jz local integer variable indicating the number of [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 497 | * terms of ipio2[] used. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 498 | * [ 98s] | ~ [ 98s] 499 | * jx nx - 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 500 | * [ 98s] | ~ [ 98s] 501 | * jv index for pointing to the suitable ipio2[] for the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 502 | * computation. In general, we want [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 503 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 504 | * is an integer. Thus [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 505 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 506 | * Hence jv = max(0,(e0-3)/24). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 507 | * [ 98s] | ~ [ 98s] 508 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 509 | * [ 98s] | ~ [ 98s] 510 | * q[] double array with integral value, representing the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 511 | * 24-bits chunk of the product of x and 2/pi. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 512 | * [ 98s] | ~ [ 98s] 513 | * q0 the corresponding exponent of q[0]. Note that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 514 | * exponent for q[i] would be q0-24*i. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 515 | * [ 98s] | ~ [ 98s] 516 | * PIo2[] double precision array, obtained by cutting pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 517 | * into 24 bits chunks. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 518 | * [ 98s] | ~ [ 98s] 519 | * f[] ipio2[] in floating point [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 520 | * [ 98s] | ~ [ 98s] 521 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 522 | * [ 98s] | ~ [ 98s] 523 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 524 | * [ 98s] | ~ [ 98s] 525 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 526 | * it also indicates the *sign* of the result. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 527 | * [ 98s] | ~ [ 98s] 528 | */ [ 98s] | ~~ [ 98s] 529 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 530 | const int32_t *ipio2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 531 | { [ 98s] | ~ [ 98s] 532 | /* Constants: [ 98s] | ~~~~~~~~~~~~~ [ 98s] 533 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 534 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 535 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 536 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 537 | */ [ 98s] | ~~ [ 98s] 538 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 539 | [ 98s] | [ 98s] 540 | constexpr double PIo2[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 541 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 542 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 543 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 544 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 545 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 546 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 547 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 548 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 549 | }; [ 98s] | ~~ [ 98s] 550 | [ 98s] | [ 98s] 551 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 552 | zero [ 98s] | ~~~~ [ 98s] 553 | = 0.0, [ 98s] | ~~~~~~ [ 98s] 554 | one = 1.0, [ 98s] | ~~~~~~~~~~ [ 98s] 555 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 556 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 557 | [ 98s] | [ 98s] 558 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 559 | double z, fw, f[20], fq[20], q[20]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 560 | [ 98s] | [ 98s] 561 | /* initialize jk*/ [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 562 | jk = init_jk[prec]; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 563 | jp = jk; [ 98s] | ~~~~~~~~ [ 98s] 564 | [ 98s] | [ 98s] 565 | /* determine jx,jv,q0, note that 3>q0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 566 | jx = nx - 1; [ 98s] | ~~~~~~~~~~~~ [ 98s] 567 | jv = (e0 - 3) / 24; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 568 | if (jv < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 569 | jv = 0; [ 98s] | ~~~~~~~ [ 98s] 570 | q0 = e0 - 24 * (jv + 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 571 | [ 98s] | [ 98s] 572 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 573 | j = jv - jx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 574 | m = jx + jk; [ 98s] | ~~~~~~~~~~~~ [ 98s] 575 | for (i = 0; i <= m; i++, j++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 576 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 577 | } [ 98s] | ~ [ 98s] 578 | [ 98s] | [ 98s] 579 | /* compute q[0],q[1],...q[jk] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 580 | for (i = 0; i <= jk; i++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 581 | for (j = 0, fw = 0.0; j <= jx; j++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 582 | fw += x[j] * f[jx + i - j]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 583 | q[i] = fw; [ 98s] | ~~~~~~~~~~ [ 98s] 584 | } [ 98s] | ~ [ 98s] 585 | [ 98s] | [ 98s] 586 | jz = jk; [ 98s] | ~~~~~~~~ [ 98s] 587 | recompute: [ 98s] | ~~~~~~~~~~ [ 98s] 588 | /* distill q[] into iq[] reversingly */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 589 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 590 | fw = static_cast(static_cast(twon24 * z)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 591 | iq[i] = static_cast(z - two24 * fw); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 592 | z = q[j - 1] + fw; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 593 | } [ 98s] | ~ [ 98s] 594 | [ 98s] | [ 98s] 595 | /* compute n */ [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 596 | z = scalbn(z, q0); /* actual value of z */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 597 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 598 | n = static_cast(z); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 599 | z -= static_cast(n); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 600 | ih = 0; [ 98s] | ~~~~~~~ [ 98s] 601 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 602 | i = (iq[jz - 1] >> (24 - q0)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 603 | n += i; [ 98s] | ~~~~~~~ [ 98s] 604 | iq[jz - 1] -= i << (24 - q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 605 | ih = iq[jz - 1] >> (23 - q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 606 | } else if (q0 == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 607 | ih = iq[jz - 1] >> 23; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 608 | } else if (z >= 0.5) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 609 | ih = 2; [ 98s] | ~~~~~~~ [ 98s] 610 | } [ 98s] | ~ [ 98s] 611 | [ 98s] | [ 98s] 612 | if (ih > 0) { /* q > 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 613 | n += 1; [ 98s] | ~~~~~~~ [ 98s] 614 | carry = 0; [ 98s] | ~~~~~~~~~~ [ 98s] 615 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 616 | j = iq[i]; [ 98s] | ~~~~~~~~~~ [ 98s] 617 | if (carry == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 618 | if (j != 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 619 | carry = 1; [ 98s] | ~~~~~~~~~~ [ 98s] 620 | iq[i] = 0x1000000 - j; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 621 | } [ 98s] | ~ [ 98s] 622 | } else { [ 98s] | ~~~~~~~~ [ 98s] 623 | iq[i] = 0xFFFFFF - j; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 624 | } [ 98s] | ~ [ 98s] 625 | } [ 98s] | ~ [ 98s] 626 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 627 | switch (q0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 628 | case 1: [ 98s] | ~~~~~~~ [ 98s] 629 | iq[jz - 1] &= 0x7FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 630 | break; [ 98s] | ~~~~~~ [ 98s] 631 | case 2: [ 98s] | ~~~~~~~ [ 98s] 632 | iq[jz - 1] &= 0x3FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 633 | break; [ 98s] | ~~~~~~ [ 98s] 634 | } [ 98s] | ~ [ 98s] 635 | } [ 98s] | ~ [ 98s] 636 | if (ih == 2) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 637 | z = one - z; [ 98s] | ~~~~~~~~~~~~ [ 98s] 638 | if (carry != 0) [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 639 | z -= scalbn(one, q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 640 | } [ 98s] | ~ [ 98s] 641 | } [ 98s] | ~ [ 98s] 642 | [ 98s] | [ 98s] 643 | /* check if recomputation is needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 644 | if (z == zero) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 645 | j = 0; [ 98s] | ~~~~~~ [ 98s] 646 | for (i = jz - 1; i >= jk; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 647 | j |= iq[i]; [ 98s] | ~~~~~~~~~~~ [ 98s] 648 | if (j == 0) { /* need recomputation */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 649 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 650 | /* k = no. of terms needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 651 | } [ 98s] | ~ [ 98s] 652 | [ 98s] | [ 98s] 653 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 654 | f[jx + i] = ipio2[jv + i]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 655 | for (j = 0, fw = 0.0; j <= jx; j++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 656 | fw += x[j] * f[jx + i - j]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 657 | q[i] = fw; [ 98s] | ~~~~~~~~~~ [ 98s] 658 | } [ 98s] | ~ [ 98s] 659 | jz += k; [ 98s] | ~~~~~~~~ [ 98s] 660 | goto recompute; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 661 | } [ 98s] | ~ [ 98s] 662 | } [ 98s] | ~ [ 98s] 663 | [ 98s] | [ 98s] 664 | /* chop off zero terms */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 665 | if (z == 0.0) { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 666 | jz -= 1; [ 98s] | ~~~~~~~~ [ 98s] 667 | q0 -= 24; [ 98s] | ~~~~~~~~~ [ 98s] 668 | while (iq[jz] == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 669 | jz--; [ 98s] | ~~~~~ [ 98s] 670 | q0 -= 24; [ 98s] | ~~~~~~~~~ [ 98s] 671 | } [ 98s] | ~ [ 98s] 672 | } else { /* break z into 24-bit if necessary */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 673 | z = scalbn(z, -q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 674 | if (z >= two24) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 675 | fw = static_cast(static_cast(twon24 * z)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 676 | iq[jz] = z - two24 * fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 677 | jz += 1; [ 98s] | ~~~~~~~~ [ 98s] 678 | q0 += 24; [ 98s] | ~~~~~~~~~ [ 98s] 679 | iq[jz] = fw; [ 98s] | ~~~~~~~~~~~~ [ 98s] 680 | } else { [ 98s] | ~~~~~~~~ [ 98s] 681 | iq[jz] = z; [ 98s] | ~~~~~~~~~~~ [ 98s] 682 | } [ 98s] | ~ [ 98s] 683 | } [ 98s] | ~ [ 98s] 684 | [ 98s] | [ 98s] 685 | /* convert integer "bit" chunk to floating-point value */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 686 | fw = scalbn(one, q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 687 | for (i = jz; i >= 0; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 688 | q[i] = fw * iq[i]; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 689 | fw *= twon24; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 690 | } [ 98s] | ~ [ 98s] 691 | [ 98s] | [ 98s] 692 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 693 | for (i = jz; i >= 0; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 694 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 695 | fw += PIo2[k] * q[i + k]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 696 | fq[jz - i] = fw; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 697 | } [ 98s] | ~ [ 98s] 698 | [ 98s] | [ 98s] 699 | /* compress fq[] into y[] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 700 | switch (prec) { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 701 | case 0: [ 98s] | ~~~~~~~ [ 98s] 702 | fw = 0.0; [ 98s] | ~~~~~~~~~ [ 98s] 703 | for (i = jz; i >= 0; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 704 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 705 | y[0] = (ih == 0) ? fw : -fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 706 | break; [ 98s] | ~~~~~~ [ 98s] 707 | case 1: [ 98s] | ~~~~~~~ [ 98s] 708 | case 2: [ 98s] | ~~~~~~~ [ 98s] 709 | fw = 0.0; [ 98s] | ~~~~~~~~~ [ 98s] 710 | for (i = jz; i >= 0; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 711 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 712 | y[0] = (ih == 0) ? fw : -fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 713 | fw = fq[0] - fw; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 714 | for (i = 1; i <= jz; i++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 715 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 716 | y[1] = (ih == 0) ? fw : -fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 717 | break; [ 98s] | ~~~~~~ [ 98s] 718 | case 3: /* painful */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 719 | for (i = jz; i > 0; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 720 | fw = fq[i - 1] + fq[i]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 721 | fq[i] += fq[i - 1] - fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 722 | fq[i - 1] = fw; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 723 | } [ 98s] | ~ [ 98s] 724 | for (i = jz; i > 1; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 725 | fw = fq[i - 1] + fq[i]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 726 | fq[i] += fq[i - 1] - fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 727 | fq[i - 1] = fw; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 728 | } [ 98s] | ~ [ 98s] 729 | for (fw = 0.0, i = jz; i >= 2; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 730 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 731 | if (ih == 0) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 732 | y[0] = fq[0]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 733 | y[1] = fq[1]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 734 | y[2] = fw; [ 98s] | ~~~~~~~~~~ [ 98s] 735 | } else { [ 98s] | ~~~~~~~~ [ 98s] 736 | y[0] = -fq[0]; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 737 | y[1] = -fq[1]; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 738 | y[2] = -fw; [ 98s] | ~~~~~~~~~~~ [ 98s] 739 | } [ 98s] | ~ [ 98s] 740 | } [ 98s] | ~ [ 98s] 741 | return n & 7; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 742 | } [ 98s] | ~ [ 98s] 743 | [ 98s] | [ 98s] 744 | /* __kernel_sin( x, y, iy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 745 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 746 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 747 | * Input y is the tail of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 748 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 749 | * [ 98s] | ~ [ 98s] 750 | * Algorithm [ 98s] | ~~~~~~~~~~~ [ 98s] 751 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 752 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 753 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 754 | * [0,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 755 | * 3 13 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 756 | * sin(x) ~ x + S1*x + ... + S6*x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 757 | * where [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 758 | * [ 98s] | ~ [ 98s] 759 | * |sin(x) 2 4 6 8 10 12 | -58 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 760 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 761 | * | x | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 762 | * [ 98s] | ~ [ 98s] 763 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 764 | * ~ sin(x) + (1-x*x/2)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 765 | * For better accuracy, let [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 766 | * 3 2 2 2 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 767 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 768 | * then 3 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 769 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 770 | */ [ 98s] | ~~ [ 98s] 771 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 772 | { [ 98s] | ~ [ 98s] 773 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 774 | half [ 98s] | ~~~~ [ 98s] 775 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 776 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 777 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 778 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 779 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 780 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 781 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 782 | [ 98s] | [ 98s] 783 | double z, r, v; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 784 | int32_t ix; [ 98s] | ~~~~~~~~~~~ [ 98s] 785 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 786 | ix &= 0x7FFFFFFF; /* high word of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 787 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 788 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 789 | } /* generate inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 790 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 791 | v = z * x; [ 98s] | ~~~~~~~~~~ [ 98s] 792 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 793 | if (iy == 0) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 794 | return x + v * (S1 + z * r); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 795 | } else { [ 98s] | ~~~~~~~~ [ 98s] 796 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 797 | } [ 98s] | ~ [ 98s] 798 | } [ 98s] | ~ [ 98s] 799 | [ 98s] | [ 98s] 800 | /* __kernel_tan( x, y, k ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 801 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 802 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 803 | * Input y is the tail of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 804 | * Input k indicates whether tan (if k=1) or [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 805 | * -1/tan (if k= -1) is returned. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 806 | * [ 98s] | ~ [ 98s] 807 | * Algorithm [ 98s] | ~~~~~~~~~~~ [ 98s] 808 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 809 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 810 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 811 | * [0,0.67434] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 812 | * 3 27 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 813 | * tan(x) ~ x + T1*x + ... + T13*x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 814 | * where [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 815 | * [ 98s] | ~ [ 98s] 816 | * |tan(x) 2 4 26 | -59.2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 817 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 818 | * | x | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 819 | * [ 98s] | ~ [ 98s] 820 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 821 | * ~ tan(x) + (1+x*x)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 822 | * Therefore, for better accuracy in computing tan(x+y), let [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 823 | * 3 2 2 2 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 824 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 825 | * then [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 826 | * 3 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 827 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 828 | * [ 98s] | ~ [ 98s] 829 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 830 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 831 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 832 | */ [ 98s] | ~~ [ 98s] 833 | double __kernel_tan(double x, double y, int iy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 834 | { [ 98s] | ~ [ 98s] 835 | constexpr double xxx[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 836 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 837 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 838 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 839 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 840 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 841 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 842 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 843 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 844 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 845 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 846 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 847 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 848 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 849 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 850 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 851 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 852 | }; [ 98s] | ~~ [ 98s] 853 | #define one xxx[13] [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 854 | #define pio4 xxx[14] [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 855 | #define pio4lo xxx[15] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 856 | #define T xxx [ 98s] | ~~~~~~~~~~~~~ [ 98s] 857 | [ 98s] | [ 98s] 858 | double z, r, v, w, s; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 859 | int32_t ix, hx; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 860 | [ 98s] | [ 98s] 861 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 862 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 863 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 864 | /* generate inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 865 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 866 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 867 | if (((ix | low) | (iy + 1)) == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 868 | return one / fabs(x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 869 | } else { [ 98s] | ~~~~~~~~ [ 98s] 870 | if (iy == 1) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 871 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 872 | } else { /* compute -1 / (x+y) carefully */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 873 | double a, t; [ 98s] | ~~~~~~~~~~~~ [ 98s] 874 | [ 98s] | [ 98s] 875 | z = w = x + y; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 876 | SET_LOW_WORD(z, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 877 | v = y - (z - x); [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 878 | t = a = -one / w; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 879 | SET_LOW_WORD(t, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 880 | s = one + t * z; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 881 | return t + a * (s + t * v); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 882 | } [ 98s] | ~ [ 98s] 883 | } [ 98s] | ~ [ 98s] 884 | } [ 98s] | ~ [ 98s] 885 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 886 | if (hx < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 887 | x = -x; [ 98s] | ~~~~~~~ [ 98s] 888 | y = -y; [ 98s] | ~~~~~~~ [ 98s] 889 | } [ 98s] | ~ [ 98s] 890 | z = pio4 - x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 891 | w = pio4lo - y; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 892 | x = z + w; [ 98s] | ~~~~~~~~~~ [ 98s] 893 | y = 0.0; [ 98s] | ~~~~~~~~ [ 98s] 894 | } [ 98s] | ~ [ 98s] 895 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 896 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 897 | /* [ 98s] | ~~ [ 98s] 898 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 899 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 900 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 901 | */ [ 98s] | ~~ [ 98s] 902 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 903 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 904 | s = z * x; [ 98s] | ~~~~~~~~~~ [ 98s] 905 | r = y + z * (s * (r + v) + y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 906 | r += T[0] * s; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 907 | w = x + r; [ 98s] | ~~~~~~~~~~ [ 98s] 908 | if (ix >= 0x3FE59428) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 909 | v = iy; [ 98s] | ~~~~~~~ [ 98s] 910 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 911 | } [ 98s] | ~ [ 98s] 912 | if (iy == 1) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 913 | return w; [ 98s] | ~~~~~~~~~ [ 98s] 914 | } else { [ 98s] | ~~~~~~~~ [ 98s] 915 | /* [ 98s] | ~~ [ 98s] 916 | * if allow error up to 2 ulp, simply return [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 917 | * -1.0 / (x+r) here [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 918 | */ [ 98s] | ~~ [ 98s] 919 | /* compute -1.0 / (x+r) accurately */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 920 | double a, t; [ 98s] | ~~~~~~~~~~~~ [ 98s] 921 | z = w; [ 98s] | ~~~~~~ [ 98s] 922 | SET_LOW_WORD(z, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 923 | v = r - (z - x); /* z+v = r+x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 924 | t = a = -1.0 / w; /* a = -1.0/w */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 925 | SET_LOW_WORD(t, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 926 | s = 1.0 + t * z; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 927 | return t + a * (s + t * v); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 928 | } [ 98s] | ~ [ 98s] 929 | [ 98s] | [ 98s] 930 | #undef one [ 98s] | ~~~~~~~~~~ [ 98s] 931 | #undef pio4 [ 98s] | ~~~~~~~~~~~ [ 98s] 932 | #undef pio4lo [ 98s] | ~~~~~~~~~~~~~ [ 98s] 933 | #undef T [ 98s] | ~~~~~~~~ [ 98s] 934 | } [ 98s] | ~ [ 98s] 935 | [ 98s] | [ 98s] 936 | } // namespace [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 937 | [ 98s] | [ 98s] 938 | /* acos(x) [ 98s] | ~~~~~~~~~~ [ 98s] 939 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 940 | * acos(x) = pi/2 - asin(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 941 | * acos(-x) = pi/2 + asin(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 942 | * For |x|<=0.5 [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 943 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 944 | * For x>0.5 [ 98s] | ~~~~~~~~~~~ [ 98s] 945 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 946 | * = 2asin(sqrt((1-x)/2)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 947 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 948 | * = 2f + (2c + 2s*z*R(z)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 949 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 950 | * for f so that f+c ~ sqrt(z). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 951 | * For x<-0.5 [ 98s] | ~~~~~~~~~~~~ [ 98s] 952 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 953 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 954 | * [ 98s] | ~ [ 98s] 955 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 956 | * if x is NaN, return x itself; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 957 | * if |x|>1, return NaN with invalid signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 958 | * [ 98s] | ~ [ 98s] 959 | * Function needed: sqrt [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 960 | */ [ 98s] | ~~ [ 98s] 961 | double acos(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 962 | { [ 98s] | ~ [ 98s] 963 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 964 | one [ 98s] | ~~~ [ 98s] 965 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 966 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 967 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 968 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 969 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 970 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 971 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 972 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 973 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 974 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 975 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 976 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 977 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 978 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 979 | [ 98s] | [ 98s] 980 | double z, p, q, r, w, s, c, df; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 981 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 982 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 983 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 984 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 985 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 986 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 987 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 988 | if (hx > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 989 | return 0.0; /* acos(1) = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 990 | else [ 98s] | ~~~~ [ 98s] 991 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 992 | } [ 98s] | ~ [ 98s] 993 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 994 | } [ 98s] | ~ [ 98s] 995 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 996 | if (ix <= 0x3C600000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 997 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 998 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 999 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1000 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1001 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1002 | return pio2_hi - (x - (pio2_lo - x * r)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1003 | } else if (hx < 0) { /* x < -0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1004 | z = (one + x) * 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1005 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1006 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1007 | s = sqrt(z); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1008 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1009 | w = r * s - pio2_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1010 | return pi - 2.0 * (s + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1011 | } else { /* x > 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1012 | z = (one - x) * 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1013 | s = sqrt(z); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1014 | df = s; [ 98s] | ~~~~~~~ [ 98s] 1015 | SET_LOW_WORD(df, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1016 | c = (z - df * df) / (s + df); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1017 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1018 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1019 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1020 | w = r * s + c; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1021 | return 2.0 * (df + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1022 | } [ 98s] | ~ [ 98s] 1023 | } [ 98s] | ~ [ 98s] 1024 | [ 98s] | [ 98s] 1025 | /* acosh(x) [ 98s] | ~~~~~~~~~~~ [ 98s] 1026 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1027 | * Based on [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1028 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1029 | * we have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1030 | * acosh(x) := log(x)+ln2, if x is large; else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1031 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1032 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1033 | * [ 98s] | ~ [ 98s] 1034 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1035 | * acosh(x) is NaN with signal if x<1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1036 | * acosh(NaN) is NaN without signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1037 | */ [ 98s] | ~~ [ 98s] 1038 | double acosh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1039 | { [ 98s] | ~ [ 98s] 1040 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1041 | one [ 98s] | ~~~ [ 98s] 1042 | = 1.0, [ 98s] | ~~~~~~ [ 98s] 1043 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1044 | double t; [ 98s] | ~~~~~~~~~ [ 98s] 1045 | int32_t hx; [ 98s] | ~~~~~~~~~~~ [ 98s] 1046 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1047 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1048 | if (hx < 0x3FF00000) { /* x < 1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1049 | return (x - x) / (x - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1050 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1051 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1052 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1053 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1054 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1055 | } [ 98s] | ~ [ 98s] 1056 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1057 | return 0.0; /* acosh(1) = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1058 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1059 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1060 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1061 | } else { /* 10.98 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1081 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1082 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1083 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1084 | * f = hi part of s; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1085 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1086 | * and [ 98s] | ~~~~~~~~~~ [ 98s] 1087 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1088 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1089 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1090 | * [ 98s] | ~ [ 98s] 1091 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1092 | * if x is NaN, return x itself; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1093 | * if |x|>1, return NaN with invalid signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1094 | */ [ 98s] | ~~ [ 98s] 1095 | double asin(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1096 | { [ 98s] | ~ [ 98s] 1097 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1098 | one [ 98s] | ~~~ [ 98s] 1099 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1100 | huge = 1.000e+300, [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1101 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1102 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1103 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1104 | /* coefficient for R(x^2) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1105 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1106 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1107 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1108 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1109 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1110 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1111 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1112 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1113 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1114 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1115 | [ 98s] | [ 98s] 1116 | double t, w, p, q, c, r, s; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1117 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1118 | [ 98s] | [ 98s] 1119 | t = 0; [ 98s] | ~~~~~~ [ 98s] 1120 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1121 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1122 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1123 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1124 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1125 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1126 | return x * pio2_hi + x * pio2_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1127 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1128 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1129 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1130 | return x; /* return x with inexact if x!=0*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1131 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1132 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1133 | } [ 98s] | ~ [ 98s] 1134 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1135 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1136 | w = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1137 | return x + x * w; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1138 | } [ 98s] | ~ [ 98s] 1139 | /* 1> |x|>= 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1140 | w = one - fabs(x); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1141 | t = w * 0.5; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1142 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1143 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1144 | s = sqrt(t); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1145 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1146 | w = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1147 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1148 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1149 | w = s; [ 98s] | ~~~~~~ [ 98s] 1150 | SET_LOW_WORD(w, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1151 | c = (t - w * w) / (s + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1152 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1153 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1154 | q = pio4_hi - 2.0 * w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1155 | t = pio4_hi - (p - q); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1156 | } [ 98s] | ~ [ 98s] 1157 | if (hx > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1158 | return t; [ 98s] | ~~~~~~~~~ [ 98s] 1159 | else [ 98s] | ~~~~ [ 98s] 1160 | return -t; [ 98s] | ~~~~~~~~~~ [ 98s] 1161 | } [ 98s] | ~ [ 98s] 1162 | /* asinh(x) [ 98s] | ~~~~~~~~~~~ [ 98s] 1163 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1164 | * Based on [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1165 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1166 | * we have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1167 | * asinh(x) := x if 1+x*x=1, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1168 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1169 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1170 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1171 | */ [ 98s] | ~~ [ 98s] 1172 | double asinh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1173 | { [ 98s] | ~ [ 98s] 1174 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1175 | one [ 98s] | ~~~ [ 98s] 1176 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1177 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1178 | huge = 1.00000000000000000000e+300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1179 | [ 98s] | [ 98s] 1180 | double t, w; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1181 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1182 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1183 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1184 | if (ix >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1185 | return x + x; /* x is inf or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1186 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1187 | return x; /* return x inexact except 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1188 | } [ 98s] | ~ [ 98s] 1189 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1190 | w = log(fabs(x)) + ln2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1191 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1192 | t = fabs(x); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1193 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1194 | } else { /* 2.0 > |x| > 2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1195 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1196 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1197 | } [ 98s] | ~ [ 98s] 1198 | if (hx > 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1199 | return w; [ 98s] | ~~~~~~~~~ [ 98s] 1200 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1201 | return -w; [ 98s] | ~~~~~~~~~~ [ 98s] 1202 | } [ 98s] | ~ [ 98s] 1203 | } [ 98s] | ~ [ 98s] 1204 | [ 98s] | [ 98s] 1205 | /* atan(x) [ 98s] | ~~~~~~~~~~ [ 98s] 1206 | * Method [ 98s] | ~~~~~~~~ [ 98s] 1207 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1208 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1209 | * is further reduced to one of the following intervals and the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1210 | * arctangent of t is evaluated by the corresponding formula: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1211 | * [ 98s] | ~ [ 98s] 1212 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1213 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1214 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1215 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1216 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1217 | * [ 98s] | ~ [ 98s] 1218 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1219 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1220 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1221 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1222 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1223 | */ [ 98s] | ~~ [ 98s] 1224 | double atan(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1225 | { [ 98s] | ~ [ 98s] 1226 | constexpr double atanhi[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1227 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1228 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1229 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1230 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1231 | }; [ 98s] | ~~ [ 98s] 1232 | [ 98s] | [ 98s] 1233 | constexpr double atanlo[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1234 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1235 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1236 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1237 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1238 | }; [ 98s] | ~~ [ 98s] 1239 | [ 98s] | [ 98s] 1240 | constexpr double aT[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1241 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1242 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1243 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1244 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1245 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1246 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1247 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1248 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1249 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1250 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1251 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1252 | }; [ 98s] | ~~ [ 98s] 1253 | [ 98s] | [ 98s] 1254 | constexpr double one = 1.0, huge = 1.0e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1255 | [ 98s] | [ 98s] 1256 | double w, s1, s2, z; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1257 | int32_t ix, hx, id; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1258 | [ 98s] | [ 98s] 1259 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1260 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1261 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1262 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1263 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1264 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1265 | return x + x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1266 | if (hx > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1267 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1268 | else [ 98s] | ~~~~ [ 98s] 1269 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1270 | } [ 98s] | ~ [ 98s] 1271 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1272 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1273 | return x; /* raise inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1274 | } [ 98s] | ~ [ 98s] 1275 | id = -1; [ 98s] | ~~~~~~~~ [ 98s] 1276 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1277 | x = fabs(x); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1278 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1279 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1280 | id = 0; [ 98s] | ~~~~~~~ [ 98s] 1281 | x = (2.0 * x - one) / (2.0 + x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1282 | } else { /* 11/16<=|x|< 19/16 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1283 | id = 1; [ 98s] | ~~~~~~~ [ 98s] 1284 | x = (x - one) / (x + one); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1285 | } [ 98s] | ~ [ 98s] 1286 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1287 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1288 | id = 2; [ 98s] | ~~~~~~~ [ 98s] 1289 | x = (x - 1.5) / (one + 1.5 * x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1290 | } else { /* 2.4375 <= |x| < 2^66 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1291 | id = 3; [ 98s] | ~~~~~~~ [ 98s] 1292 | x = -1.0 / x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1293 | } [ 98s] | ~ [ 98s] 1294 | } [ 98s] | ~ [ 98s] 1295 | } [ 98s] | ~ [ 98s] 1296 | /* end of argument reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1297 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1298 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 1299 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1300 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1301 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1302 | if (id < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1303 | return x - x * (s1 + s2); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1304 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1305 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1306 | return (hx < 0) ? -z : z; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1307 | } [ 98s] | ~ [ 98s] 1308 | } [ 98s] | ~ [ 98s] 1309 | [ 98s] | [ 98s] 1310 | /* atan2(y,x) [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1311 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1312 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1313 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1314 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1315 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1316 | * [ 98s] | ~ [ 98s] 1317 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1318 | * [ 98s] | ~ [ 98s] 1319 | * ATAN2((anything), NaN ) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1320 | * ATAN2(NAN , (anything) ) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1321 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1322 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1323 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1324 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1325 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1326 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1327 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1328 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1329 | * [ 98s] | ~ [ 98s] 1330 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1331 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1332 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1333 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1334 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1335 | */ [ 98s] | ~~ [ 98s] 1336 | double atan2(double y, double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1337 | { [ 98s] | ~ [ 98s] 1338 | constexpr volatile double tiny = 1.0e-300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1339 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1340 | zero [ 98s] | ~~~~ [ 98s] 1341 | = 0.0, [ 98s] | ~~~~~~ [ 98s] 1342 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1343 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1344 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1345 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1346 | [ 98s] | [ 98s] 1347 | double z; [ 98s] | ~~~~~~~~~ [ 98s] 1348 | int32_t k, m, hx, hy, ix, iy; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1349 | uint32_t lx, ly; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1350 | [ 98s] | [ 98s] 1351 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1352 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1353 | EXTRACT_WORDS(hy, ly, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1354 | iy = hy & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1355 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1356 | return x + y; /* x or y is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1357 | } [ 98s] | ~ [ 98s] 1358 | if (((hx - 0x3FF00000) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1359 | return atan(y); /* x=1.0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1360 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1361 | [ 98s] | [ 98s] 1362 | /* when y = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1363 | if ((iy | ly) == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1364 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1365 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1366 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1367 | return y; /* atan(+-0,+anything)=+-0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1368 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1369 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1370 | case 3: [ 98s] | ~~~~~~~ [ 98s] 1371 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1372 | } [ 98s] | ~ [ 98s] 1373 | } [ 98s] | ~ [ 98s] 1374 | /* when x = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1375 | if ((ix | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1376 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1377 | [ 98s] | [ 98s] 1378 | /* when x is INF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1379 | if (ix == 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1380 | if (iy == 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1381 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1382 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1383 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1384 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1385 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1386 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1387 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1388 | case 3: [ 98s] | ~~~~~~~ [ 98s] 1389 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1390 | } [ 98s] | ~ [ 98s] 1391 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1392 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1393 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1394 | return zero; /* atan(+...,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1395 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1396 | return -zero; /* atan(-...,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1397 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1398 | return pi + tiny; /* atan(+...,-INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1399 | case 3: [ 98s] | ~~~~~~~ [ 98s] 1400 | return -pi - tiny; /* atan(-...,-INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1401 | } [ 98s] | ~ [ 98s] 1402 | } [ 98s] | ~ [ 98s] 1403 | } [ 98s] | ~ [ 98s] 1404 | /* when y is INF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1405 | if (iy == 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1406 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1407 | [ 98s] | [ 98s] 1408 | /* compute y/x */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1409 | k = (iy - ix) >> 20; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1410 | if (k > 60) { /* |y/x| > 2**60 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1411 | z = pi_o_2 + 0.5 * pi_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1412 | m &= 1; [ 98s] | ~~~~~~~ [ 98s] 1413 | } else if (hx < 0 && k < -60) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1414 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1415 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1416 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1417 | } [ 98s] | ~ [ 98s] 1418 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1419 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1420 | return z; /* atan(+,+) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1421 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1422 | return -z; /* atan(-,+) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1423 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1424 | return pi - (z - pi_lo); /* atan(+,-) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1425 | default: /* case 3 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1426 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1427 | } [ 98s] | ~ [ 98s] 1428 | } [ 98s] | ~ [ 98s] 1429 | [ 98s] | [ 98s] 1430 | /* cos(x) [ 98s] | ~~~~~~~~~ [ 98s] 1431 | * Return cosine function of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1432 | * [ 98s] | ~ [ 98s] 1433 | * kernel function: [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1434 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1435 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1436 | * __ieee754_rem_pio2 ... argument reduction routine [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1437 | * [ 98s] | ~ [ 98s] 1438 | * Method. [ 98s] | ~~~~~~~~~ [ 98s] 1439 | * Let S,C and T denote the sin, cos and tan respectively on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1440 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1441 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1442 | * We have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1443 | * [ 98s] | ~ [ 98s] 1444 | * n sin(x) cos(x) tan(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1445 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1446 | * 0 S C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1447 | * 1 C -S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1448 | * 2 -S -C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1449 | * 3 -C S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1450 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1451 | * [ 98s] | ~ [ 98s] 1452 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1453 | * Let trig be any of sin, cos, or tan. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1454 | * trig(+-INF) is NaN, with signals; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1455 | * trig(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1456 | * [ 98s] | ~ [ 98s] 1457 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1458 | * TRIG(x) returns trig(x) nearly rounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1459 | */ [ 98s] | ~~ [ 98s] 1460 | double cos(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1461 | { [ 98s] | ~ [ 98s] 1462 | double y[2], z = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1463 | int32_t n, ix; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1464 | [ 98s] | [ 98s] 1465 | /* High word of x. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1466 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1467 | [ 98s] | [ 98s] 1468 | /* |x| ~< pi/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1469 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1470 | if (ix <= 0x3FE921FB) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1471 | return __kernel_cos(x, z); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1472 | } else if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1473 | /* cos(Inf or NaN) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1474 | return x - x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1475 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1476 | /* argument reduction needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1477 | n = __ieee754_rem_pio2(x, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1478 | switch (n & 3) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1479 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1480 | return __kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1481 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1482 | return -__kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1483 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1484 | return -__kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1485 | default: [ 98s] | ~~~~~~~~ [ 98s] 1486 | return __kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1487 | } [ 98s] | ~ [ 98s] 1488 | } [ 98s] | ~ [ 98s] 1489 | } [ 98s] | ~ [ 98s] 1490 | [ 98s] | [ 98s] 1491 | /* exp(x) [ 98s] | ~~~~~~~~~ [ 98s] 1492 | * Returns the exponential of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1493 | * [ 98s] | ~ [ 98s] 1494 | * Method [ 98s] | ~~~~~~~~ [ 98s] 1495 | * 1. Argument reduction: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1496 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1497 | * Given x, find r and integer k such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1498 | * [ 98s] | ~ [ 98s] 1499 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1500 | * [ 98s] | ~ [ 98s] 1501 | * Here r will be represented as r = hi-lo for better [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1502 | * accuracy. [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1503 | * [ 98s] | ~ [ 98s] 1504 | * 2. Approximation of exp(r) by a special rational function on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1505 | * the interval [0,0.34658]: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1506 | * Write [ 98s] | ~~~~~~~~~~~~ [ 98s] 1507 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1508 | * We use a special Remes algorithm on [0,0.34658] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1509 | * a polynomial of degree 5 to approximate R. The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1510 | * of this polynomial approximation is bounded by 2**-59. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1511 | * other words, [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1512 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1513 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1514 | * and [ 98s] | ~~~~~~~~~~ [ 98s] 1515 | * | 5 | -59 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1516 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1517 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1518 | * The computation of exp(r) thus becomes [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1519 | * 2*r [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1520 | * exp(r) = 1 + ------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1521 | * R - r [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1522 | * r*R1(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1523 | * = 1 + r + ----------- (for better accuracy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1524 | * 2 - R1(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1525 | * where [ 98s] | ~~~~~~~~~~~~ [ 98s] 1526 | * 2 4 10 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1527 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1528 | * [ 98s] | ~ [ 98s] 1529 | * 3. Scale back to obtain exp(x): [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1530 | * From step 1, we have [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1531 | * exp(x) = 2^k * exp(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1532 | * [ 98s] | ~ [ 98s] 1533 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1534 | * exp(INF) is INF, exp(NaN) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1535 | * exp(-INF) is 0, and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1536 | * for finite argument, only exp(0)=1 is exact. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1537 | * [ 98s] | ~ [ 98s] 1538 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1539 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1540 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1541 | * [ 98s] | ~ [ 98s] 1542 | * Misc. info. [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1543 | * For IEEE double [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1544 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1545 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1546 | * [ 98s] | ~ [ 98s] 1547 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1548 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1549 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1550 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1551 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1552 | */ [ 98s] | ~~ [ 98s] 1553 | double exp(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1554 | { [ 98s] | ~ [ 98s] 1555 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1556 | one [ 98s] | ~~~ [ 98s] 1557 | = 1.0, [ 98s] | ~~~~~~ [ 98s] 1558 | halF[2] = { 0.5, -0.5 }, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1559 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1560 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1561 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1562 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1563 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1564 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1565 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1566 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1567 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1568 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1569 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1570 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1571 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1572 | [ 98s] | [ 98s] 1573 | constexpr volatile double [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1574 | huge [ 98s] | ~~~~ [ 98s] 1575 | = 1.0e+300, [ 98s] | ~~~~~~~~~~~ [ 98s] 1576 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1577 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1578 | [ 98s] | [ 98s] 1579 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1580 | int32_t k = 0, xsb; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1581 | uint32_t hx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1582 | [ 98s] | [ 98s] 1583 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1584 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1585 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1586 | [ 98s] | [ 98s] 1587 | /* filter out non-finite argument */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1588 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1589 | if (hx >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1590 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1591 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1592 | if (((hx & 0xFFFFF) | lx) != 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1593 | return x + x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1594 | else [ 98s] | ~~~~ [ 98s] 1595 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1596 | } [ 98s] | ~ [ 98s] 1597 | if (x > o_threshold) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1598 | return huge * huge; /* overflow */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1599 | if (x < u_threshold) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1600 | return twom1000 * twom1000; /* underflow */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1601 | } [ 98s] | ~ [ 98s] 1602 | [ 98s] | [ 98s] 1603 | /* argument reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1604 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1605 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1606 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1607 | * value of E, as the computation below would get the last bit [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1608 | * wrong. We should probably fix the algorithm instead. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1609 | */ [ 98s] | ~~ [ 98s] 1610 | if (x == 1.0) [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1611 | return E; [ 98s] | ~~~~~~~~~ [ 98s] 1612 | hi = x - ln2HI[xsb]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1613 | lo = ln2LO[xsb]; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1614 | k = 1 - xsb - xsb; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1615 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1616 | k = static_cast(invln2 * x + halF[xsb]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1617 | t = k; [ 98s] | ~~~~~~ [ 98s] 1618 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1619 | lo = t * ln2LO[0]; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1620 | } [ 98s] | ~ [ 98s] 1621 | STRICT_ASSIGN(double, x, hi - lo); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1622 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1623 | if (huge + x > one) [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1624 | return one + x; /* trigger inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1625 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1626 | k = 0; [ 98s] | ~~~~~~ [ 98s] 1627 | } [ 98s] | ~ [ 98s] 1628 | [ 98s] | [ 98s] 1629 | /* x is now in primary range */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1630 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1631 | if (k >= -1021) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1632 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1633 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1634 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1635 | } [ 98s] | ~ [ 98s] 1636 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1637 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1638 | return one - ((x * c) / (c - 2.0) - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1639 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1640 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1641 | } [ 98s] | ~ [ 98s] 1642 | if (k >= -1021) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1643 | if (k == 1024) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1644 | return y * 2.0 * two1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1645 | return y * twopk; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1646 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1647 | return y * twopk * twom1000; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1648 | } [ 98s] | ~ [ 98s] 1649 | } [ 98s] | ~ [ 98s] 1650 | [ 98s] | [ 98s] 1651 | /* [ 98s] | ~~ [ 98s] 1652 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1653 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1654 | * 2.For x>=0.5 [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1655 | * 1 2x x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1656 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1657 | * 2 1 - x 1 - x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1658 | * [ 98s] | ~ [ 98s] 1659 | * For x<0.5 [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1660 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1661 | * [ 98s] | ~ [ 98s] 1662 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1663 | * atanh(x) is NaN if |x| > 1 with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1664 | * atanh(NaN) is that NaN with no signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1665 | * atanh(+-1) is +-INF with signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1666 | * [ 98s] | ~ [ 98s] 1667 | */ [ 98s] | ~~ [ 98s] 1668 | double atanh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1669 | { [ 98s] | ~ [ 98s] 1670 | constexpr double one = 1.0, huge = 1e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1671 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1672 | [ 98s] | [ 98s] 1673 | double t; [ 98s] | ~~~~~~~~~ [ 98s] 1674 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1675 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1676 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1677 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1678 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1679 | return (x - x) / (x - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1680 | if (ix == 0x3FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1681 | return x / zero; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1682 | if (ix < 0x3E300000 && (huge + x) > zero) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1683 | return x; /* x<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1684 | SET_HIGH_WORD(x, ix); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1685 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1686 | t = x + x; [ 98s] | ~~~~~~~~~~ [ 98s] 1687 | t = 0.5 * log1p(t + t * x / (one - x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1688 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1689 | t = 0.5 * log1p((x + x) / (one - x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1690 | } [ 98s] | ~ [ 98s] 1691 | if (hx >= 0) [ 98s] | ~~~~~~~~~~~~ [ 98s] 1692 | return t; [ 98s] | ~~~~~~~~~ [ 98s] 1693 | else [ 98s] | ~~~~ [ 98s] 1694 | return -t; [ 98s] | ~~~~~~~~~~ [ 98s] 1695 | } [ 98s] | ~ [ 98s] 1696 | [ 98s] | [ 98s] 1697 | /* log(x) [ 98s] | ~~~~~~~~~ [ 98s] 1698 | * Return the logrithm of x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1699 | * [ 98s] | ~ [ 98s] 1700 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1701 | * 1. Argument Reduction: find k and f such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1702 | * x = 2^k * (1+f), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1703 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1704 | * [ 98s] | ~ [ 98s] 1705 | * 2. Approximation of log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1706 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1707 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1708 | * = 2s + s*R [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1709 | * We use a special Reme algorithm on [0,0.1716] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1710 | * a polynomial of degree 14 to approximate R The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1711 | * of this polynomial approximation is bounded by 2**-58.45. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1712 | * other words, [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1713 | * 2 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1714 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1715 | * (the values of Lg1 to Lg7 are listed in the program) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1716 | * and [ 98s] | ~~~~~~ [ 98s] 1717 | * | 2 14 | -58.45 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1718 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1719 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1720 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1721 | * In order to guarantee error in log below 1ulp, we compute log [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1722 | * by [ 98s] | ~~~~~ [ 98s] 1723 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1724 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1725 | * [ 98s] | ~ [ 98s] 1726 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1727 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1728 | * Here ln2 is split into two floating point number: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1729 | * ln2_hi + ln2_lo, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1730 | * where n*ln2_hi is always exact for |n| < 2000. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1731 | * [ 98s] | ~ [ 98s] 1732 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1733 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1734 | * log(+INF) is +INF; log(0) is -INF with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1735 | * log(NaN) is that NaN with no signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1736 | * [ 98s] | ~ [ 98s] 1737 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1738 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1739 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1740 | * [ 98s] | ~ [ 98s] 1741 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1742 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1743 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1744 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1745 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1746 | */ [ 98s] | ~~ [ 98s] 1747 | double log(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1748 | { [ 98s] | ~ [ 98s] 1749 | constexpr double /* -- */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1750 | ln2_hi [ 98s] | ~~~~~~ [ 98s] 1751 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1752 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1753 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1754 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1755 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1756 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1757 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1758 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1759 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1760 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1761 | [ 98s] | [ 98s] 1762 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1763 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1764 | [ 98s] | [ 98s] 1765 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1766 | int32_t k, hx, i, j; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1767 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1768 | [ 98s] | [ 98s] 1769 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1770 | [ 98s] | [ 98s] 1771 | k = 0; [ 98s] | ~~~~~~ [ 98s] 1772 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1773 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1774 | return -two54 / vzero; /* log(+-0)=-inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1775 | if (hx < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1776 | return (x - x) / zero; /* log(-#) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1777 | k -= 54; [ 98s] | ~~~~~~~~ [ 98s] 1778 | x *= two54; /* subnormal number, scale up x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1779 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1780 | } [ 98s] | ~ [ 98s] 1781 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1782 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1783 | k += (hx >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1784 | hx &= 0x000FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1785 | i = (hx + 0x95F64) & 0x100000; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1786 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1787 | k += (i >> 20); [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1788 | f = x - 1.0; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1789 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1790 | if (f == zero) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1791 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1792 | return zero; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1793 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1794 | dk = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1795 | return dk * ln2_hi + dk * ln2_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1796 | } [ 98s] | ~ [ 98s] 1797 | } [ 98s] | ~ [ 98s] 1798 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1799 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1800 | return f - R; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1801 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1802 | dk = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1803 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1804 | } [ 98s] | ~ [ 98s] 1805 | } [ 98s] | ~ [ 98s] 1806 | s = f / (2.0 + f); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1807 | dk = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1808 | z = s * s; [ 98s] | ~~~~~~~~~~ [ 98s] 1809 | i = hx - 0x6147A; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1810 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 1811 | j = 0x6B851 - hx; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1812 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1813 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1814 | i |= j; [ 98s] | ~~~~~~~ [ 98s] 1815 | R = t2 + t1; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1816 | if (i > 0) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1817 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1818 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1819 | return f - (hfsq - s * (hfsq + R)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1820 | else [ 98s] | ~~~~ [ 98s] 1821 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1822 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1823 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1824 | return f - s * (f - R); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1825 | else [ 98s] | ~~~~ [ 98s] 1826 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1827 | } [ 98s] | ~ [ 98s] 1828 | } [ 98s] | ~ [ 98s] 1829 | [ 98s] | [ 98s] 1830 | /* double log1p(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1831 | * [ 98s] | ~ [ 98s] 1832 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1833 | * 1. Argument Reduction: find k and f such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1834 | * 1+x = 2^k * (1+f), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1835 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1836 | * [ 98s] | ~ [ 98s] 1837 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1838 | * may not be representable exactly. In that case, a correction [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1839 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1840 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1841 | * and add back the correction term c/u. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1842 | * (Note: when x > 2**53, one can simply return log(x)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1843 | * [ 98s] | ~ [ 98s] 1844 | * 2. Approximation of log1p(f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1845 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1846 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1847 | * = 2s + s*R [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1848 | * We use a special Reme algorithm on [0,0.1716] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1849 | * a polynomial of degree 14 to approximate R The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1850 | * of this polynomial approximation is bounded by 2**-58.45. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1851 | * other words, [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1852 | * 2 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1853 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1854 | * (the values of Lp1 to Lp7 are listed in the program) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1855 | * and [ 98s] | ~~~~~~ [ 98s] 1856 | * | 2 14 | -58.45 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1857 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1858 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1859 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1860 | * In order to guarantee error in log below 1ulp, we compute log [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1861 | * by [ 98s] | ~~~~~ [ 98s] 1862 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1863 | * [ 98s] | ~ [ 98s] 1864 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1865 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1866 | * Here ln2 is split into two floating point number: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1867 | * ln2_hi + ln2_lo, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1868 | * where n*ln2_hi is always exact for |n| < 2000. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1869 | * [ 98s] | ~ [ 98s] 1870 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1871 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1872 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1873 | * log1p(NaN) is that NaN with no signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1874 | * [ 98s] | ~ [ 98s] 1875 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1876 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1877 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1878 | * [ 98s] | ~ [ 98s] 1879 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1880 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1881 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1882 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1883 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1884 | * [ 98s] | ~ [ 98s] 1885 | * Note: Assuming log() return accurate answer, the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1886 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1887 | * [ 98s] | ~ [ 98s] 1888 | * u = 1+x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1889 | * if(u==1.0) return x ; else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1890 | * return log(u)*(x/(u-1.0)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1891 | * [ 98s] | ~ [ 98s] 1892 | * See HP-15C Advanced Functions Handbook, p.193. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1893 | */ [ 98s] | ~~ [ 98s] 1894 | double log1p(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1895 | { [ 98s] | ~ [ 98s] 1896 | constexpr double /* -- */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1897 | ln2_hi [ 98s] | ~~~~~~ [ 98s] 1898 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1899 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1900 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1901 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1902 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1903 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1904 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1905 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1906 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1907 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1908 | [ 98s] | [ 98s] 1909 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1910 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1911 | [ 98s] | [ 98s] 1912 | double hfsq, f, c, s, z, R, u; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1913 | int32_t k, hx, hu, ax; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1914 | [ 98s] | [ 98s] 1915 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1916 | ax = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1917 | [ 98s] | [ 98s] 1918 | c = 0; [ 98s] | ~~~~~~ [ 98s] 1919 | k = 1; [ 98s] | ~~~~~~ [ 98s] 1920 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1921 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1922 | if (x == -1.0) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1923 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1924 | else [ 98s] | ~~~~ [ 98s] 1925 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1926 | } [ 98s] | ~ [ 98s] 1927 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1928 | if (two54 + x > zero /* raise inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1929 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1930 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 1931 | else [ 98s] | ~~~~ [ 98s] 1932 | return x - x * x * 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1933 | } [ 98s] | ~ [ 98s] 1934 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1935 | k = 0; [ 98s] | ~~~~~~ [ 98s] 1936 | f = x; [ 98s] | ~~~~~~ [ 98s] 1937 | hu = 1; [ 98s] | ~~~~~~~ [ 98s] 1938 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1939 | } [ 98s] | ~ [ 98s] 1940 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1941 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1942 | if (k != 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1943 | if (hx < 0x43400000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1944 | STRICT_ASSIGN(double, u, 1.0 + x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1945 | GET_HIGH_WORD(hu, u); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1946 | k = (hu >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1947 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1948 | c /= u; [ 98s] | ~~~~~~~ [ 98s] 1949 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1950 | u = x; [ 98s] | ~~~~~~ [ 98s] 1951 | GET_HIGH_WORD(hu, u); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1952 | k = (hu >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1953 | c = 0; [ 98s] | ~~~~~~ [ 98s] 1954 | } [ 98s] | ~ [ 98s] 1955 | hu &= 0x000FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1956 | /* [ 98s] | ~~ [ 98s] 1957 | * The approximation to sqrt(2) used in thresholds is not [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1958 | * critical. However, the ones used above must give less [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1959 | * strict bounds than the one here so that the k==0 case is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1960 | * never reached from here, since here we have committed to [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1961 | * using the correction term but don't use it if k==0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1962 | */ [ 98s] | ~~ [ 98s] 1963 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1964 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1965 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1966 | k += 1; [ 98s] | ~~~~~~~ [ 98s] 1967 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1968 | hu = (0x00100000 - hu) >> 2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1969 | } [ 98s] | ~ [ 98s] 1970 | f = u - 1.0; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1971 | } [ 98s] | ~ [ 98s] 1972 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1973 | if (hu == 0) { /* |f| < 2**-20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1974 | if (f == zero) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1975 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1976 | return zero; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1977 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1978 | c += k * ln2_lo; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1979 | return k * ln2_hi + c; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1980 | } [ 98s] | ~ [ 98s] 1981 | } [ 98s] | ~ [ 98s] 1982 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1983 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1984 | return f - R; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1985 | else [ 98s] | ~~~~ [ 98s] 1986 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1987 | } [ 98s] | ~ [ 98s] 1988 | s = f / (2.0 + f); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1989 | z = s * s; [ 98s] | ~~~~~~~~~~ [ 98s] 1990 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1991 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1992 | return f - (hfsq - s * (hfsq + R)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1993 | else [ 98s] | ~~~~ [ 98s] 1994 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1995 | } [ 98s] | ~ [ 98s] 1996 | [ 98s] | [ 98s] 1997 | /* [ 98s] | ~~ [ 98s] 1998 | * k_log1p(f): [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1999 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2000 | * [ 98s] | ~ [ 98s] 2001 | * The following describes the overall strategy for computing [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2002 | * logarithms in base e. The argument reduction and adding the final [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2003 | * term of the polynomial are done by the caller for increased accuracy [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2004 | * when different bases are used. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2005 | * [ 98s] | ~ [ 98s] 2006 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2007 | * 1. Argument Reduction: find k and f such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2008 | * x = 2^k * (1+f), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2009 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2010 | * [ 98s] | ~ [ 98s] 2011 | * 2. Approximation of log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2012 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2013 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2014 | * = 2s + s*R [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2015 | * We use a special Reme algorithm on [0,0.1716] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2016 | * a polynomial of degree 14 to approximate R The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2017 | * of this polynomial approximation is bounded by 2**-58.45. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2018 | * other words, [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2019 | * 2 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2020 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2021 | * (the values of Lg1 to Lg7 are listed in the program) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2022 | * and [ 98s] | ~~~~~~~~~~ [ 98s] 2023 | * | 2 14 | -58.45 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2024 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2025 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2026 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2027 | * In order to guarantee error in log below 1ulp, we compute log [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2028 | * by [ 98s] | ~~~~~~~~~ [ 98s] 2029 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2030 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2031 | * [ 98s] | ~ [ 98s] 2032 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2033 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2034 | * Here ln2 is split into two floating point number: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2035 | * ln2_hi + ln2_lo, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2036 | * where n*ln2_hi is always exact for |n| < 2000. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2037 | * [ 98s] | ~ [ 98s] 2038 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2039 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2040 | * log(+INF) is +INF; log(0) is -INF with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2041 | * log(NaN) is that NaN with no signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2042 | * [ 98s] | ~ [ 98s] 2043 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2044 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2045 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2046 | * [ 98s] | ~ [ 98s] 2047 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 2048 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2049 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2050 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2051 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2052 | */ [ 98s] | ~~ [ 98s] 2053 | [ 98s] | [ 98s] 2054 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2055 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2056 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2057 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2058 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2059 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2060 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2061 | [ 98s] | [ 98s] 2062 | /* [ 98s] | ~~ [ 98s] 2063 | * We always inline k_log1p(), since doing so produces a [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2064 | * substantial performance improvement (~40% on amd64). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2065 | */ [ 98s] | ~~ [ 98s] 2066 | static inline double k_log1p(double f) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2067 | { [ 98s] | ~ [ 98s] 2068 | double hfsq, s, z, R, w, t1, t2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2069 | [ 98s] | [ 98s] 2070 | s = f / (2.0 + f); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2071 | z = s * s; [ 98s] | ~~~~~~~~~~ [ 98s] 2072 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 2073 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2074 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2075 | R = t2 + t1; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2076 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2077 | return s * (hfsq + R); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2078 | } [ 98s] | ~ [ 98s] 2079 | [ 98s] | [ 98s] 2080 | /* [ 98s] | ~~ [ 98s] 2081 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2082 | * comments. [ 98s] | ~~~~~~~~~~~ [ 98s] 2083 | * [ 98s] | ~ [ 98s] 2084 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2085 | * then does the combining and scaling steps [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2086 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2087 | * in not-quite-routine extra precision. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2088 | */ [ 98s] | ~~ [ 98s] 2089 | double log2(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2090 | { [ 98s] | ~ [ 98s] 2091 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2092 | two54 [ 98s] | ~~~~~ [ 98s] 2093 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2094 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2095 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2096 | [ 98s] | [ 98s] 2097 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2098 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2099 | [ 98s] | [ 98s] 2100 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2101 | int32_t i, k, hx; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2102 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2103 | [ 98s] | [ 98s] 2104 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2105 | [ 98s] | [ 98s] 2106 | k = 0; [ 98s] | ~~~~~~ [ 98s] 2107 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2108 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2109 | return -two54 / vzero; /* log(+-0)=-inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2110 | if (hx < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 2111 | return (x - x) / zero; /* log(-#) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2112 | k -= 54; [ 98s] | ~~~~~~~~ [ 98s] 2113 | x *= two54; /* subnormal number, scale up x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2114 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2115 | } [ 98s] | ~ [ 98s] 2116 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2117 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2118 | if (hx == 0x3FF00000 && lx == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2119 | return zero; /* log(1) = +0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2120 | k += (hx >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2121 | hx &= 0x000FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2122 | i = (hx + 0x95F64) & 0x100000; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2123 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2124 | k += (i >> 20); [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2125 | y = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2126 | f = x - 1.0; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2127 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2128 | r = k_log1p(f); [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2129 | [ 98s] | [ 98s] 2130 | /* [ 98s] | ~~ [ 98s] 2131 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2132 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2133 | * This is fairly efficient since f-hfsq only depends on f, so can [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2134 | * be evaluated in parallel with R. Not combining hfsq with R also [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2135 | * keeps R small (though not as small as a true `lo' term would be), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2136 | * so that extra precision is not needed for terms involving R. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2137 | * [ 98s] | ~ [ 98s] 2138 | * Compiler bugs involving extra precision used to break Dekker's [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2139 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2140 | * or the multi-precision calculations were avoided when double_t [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2141 | * has extra precision. These problems are now automatically [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2142 | * avoided as a side effect of the optimization of combining the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2143 | * Dekker splitting step with the clear-low-bits step. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2144 | * [ 98s] | ~ [ 98s] 2145 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2146 | * precision to avoid a very large cancellation when x is very near [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2147 | * these values. Unlike the above cancellations, this problem is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2148 | * specific to base 2. It is strange that adding +-1 is so much [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2149 | * harder than adding +-ln2 or +-log10_2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2150 | * [ 98s] | ~ [ 98s] 2151 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2152 | * compiler bugs are back in some configurations, sigh. And I [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2153 | * don't want to used double_t to avoid them, since that gives a [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2154 | * pessimization and the support for avoiding the pessimization [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2155 | * is not yet available. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2156 | * [ 98s] | ~ [ 98s] 2157 | * The multi-precision calculations for the multiplications are [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2158 | * routine. [ 98s] | ~~~~~~~~~~ [ 98s] 2159 | */ [ 98s] | ~~ [ 98s] 2160 | hi = f - hfsq; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2161 | SET_LOW_WORD(hi, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2162 | lo = (f - hi) - hfsq + r; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2163 | val_hi = hi * ivln2hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2164 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2165 | [ 98s] | [ 98s] 2166 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2167 | w = y + val_hi; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2168 | val_lo += (y - w) + val_hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2169 | val_hi = w; [ 98s] | ~~~~~~~~~~~ [ 98s] 2170 | [ 98s] | [ 98s] 2171 | return val_lo + val_hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2172 | } [ 98s] | ~ [ 98s] 2173 | [ 98s] | [ 98s] 2174 | /* [ 98s] | ~~ [ 98s] 2175 | * Return the base 10 logarithm of x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2176 | * [ 98s] | ~ [ 98s] 2177 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2178 | * Let log10_2hi = leading 40 bits of log10(2) and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2179 | * log10_2lo = log10(2) - log10_2hi, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2180 | * ivln10 = 1/log(10) rounded. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2181 | * Then [ 98s] | ~~~~~~~~~~~ [ 98s] 2182 | * n = ilogb(x), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2183 | * if(n<0) n = n+1; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2184 | * x = scalbn(x,-n); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2185 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2186 | * [ 98s] | ~ [ 98s] 2187 | * Note 1: [ 98s] | ~~~~~~~~~~ [ 98s] 2188 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2189 | * mode must set to Round-to-Nearest. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2190 | * Note 2: [ 98s] | ~~~~~~~~~~ [ 98s] 2191 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2192 | * log10 is monotonic at all binary break points. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2193 | * [ 98s] | ~ [ 98s] 2194 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2195 | * log10(x) is NaN if x < 0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2196 | * log10(+INF) is +INF; log10(0) is -INF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2197 | * log10(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2198 | * log10(10**N) = N for N=0,1,...,22. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2199 | */ [ 98s] | ~~ [ 98s] 2200 | double log10(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2201 | { [ 98s] | ~ [ 98s] 2202 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2203 | two54 [ 98s] | ~~~~~ [ 98s] 2204 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2205 | ivln10 = 4.34294481903251816668e-01, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2206 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2207 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2208 | [ 98s] | [ 98s] 2209 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2210 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2211 | [ 98s] | [ 98s] 2212 | double y; [ 98s] | ~~~~~~~~~ [ 98s] 2213 | int32_t i, k, hx; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2214 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2215 | [ 98s] | [ 98s] 2216 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2217 | [ 98s] | [ 98s] 2218 | k = 0; [ 98s] | ~~~~~~ [ 98s] 2219 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2220 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2221 | return -two54 / vzero; /* log(+-0)=-inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2222 | if (hx < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 2223 | return (x - x) / zero; /* log(-#) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2224 | k -= 54; [ 98s] | ~~~~~~~~ [ 98s] 2225 | x *= two54; /* subnormal number, scale up x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2226 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2227 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2228 | } [ 98s] | ~ [ 98s] 2229 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2230 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2231 | if (hx == 0x3FF00000 && lx == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2232 | return zero; /* log(1) = +0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2233 | k += (hx >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2234 | [ 98s] | [ 98s] 2235 | i = (k & 0x80000000) >> 31; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2236 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2237 | y = k + i; [ 98s] | ~~~~~~~~~~ [ 98s] 2238 | SET_HIGH_WORD(x, hx); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2239 | SET_LOW_WORD(x, lx); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2240 | [ 98s] | [ 98s] 2241 | double z = y * log10_2lo + ivln10 * log(x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2242 | return z + y * log10_2hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2243 | } [ 98s] | ~ [ 98s] 2244 | [ 98s] | [ 98s] 2245 | /* expm1(x) [ 98s] | ~~~~~~~~~~~ [ 98s] 2246 | * Returns exp(x)-1, the exponential of x minus 1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2247 | * [ 98s] | ~ [ 98s] 2248 | * Method [ 98s] | ~~~~~~~~ [ 98s] 2249 | * 1. Argument reduction: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2250 | * Given x, find r and integer k such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2251 | * [ 98s] | ~ [ 98s] 2252 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2253 | * [ 98s] | ~ [ 98s] 2254 | * Here a correction term c will be computed to compensate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2255 | * the error in r when rounded to a floating-point number. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2256 | * [ 98s] | ~ [ 98s] 2257 | * 2. Approximating expm1(r) by a special rational function on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2258 | * the interval [0,0.34658]: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2259 | * Since [ 98s] | ~~~~~~~~ [ 98s] 2260 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2261 | * we define R1(r*r) by [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2262 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2263 | * That is, [ 98s] | ~~~~~~~~~~~ [ 98s] 2264 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2265 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2266 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2267 | * We use a special Reme algorithm on [0,0.347] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2268 | * a polynomial of degree 5 in r*r to approximate R1. The [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2269 | * maximum error of this polynomial approximation is bounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2270 | * by 2**-61. In other words, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2271 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2272 | * where Q1 = -1.6666666666666567384E-2, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2273 | * Q2 = 3.9682539681370365873E-4, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2274 | * Q3 = -9.9206344733435987357E-6, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2275 | * Q4 = 2.5051361420808517002E-7, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2276 | * Q5 = -6.2843505682382617102E-9; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2277 | * z = r*r, [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2278 | * with error bounded by [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2279 | * | 5 | -61 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2280 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2281 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2282 | * [ 98s] | ~ [ 98s] 2283 | * expm1(r) = exp(r)-1 is then computed by the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2284 | * specific way which minimize the accumulation rounding error: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2285 | * 2 3 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2286 | * r r [ 3 - (R1 + R1*r/2) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2287 | * expm1(r) = r + --- + --- * [--------------------] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2288 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2289 | * [ 98s] | ~ [ 98s] 2290 | * To compensate the error in the argument reduction, we use [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2291 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2292 | * ~ expm1(r) + c + r*c [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2293 | * Thus c+r*c will be added in as the correction terms for [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2294 | * expm1(r+c). Now rearrange the term to avoid optimization [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2295 | * screw up: [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2296 | * ( 2 2 ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2297 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2298 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2299 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2300 | * ( ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2301 | * [ 98s] | ~ [ 98s] 2302 | * = r - E [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2303 | * 3. Scale back to obtain expm1(x): [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2304 | * From step 1, we have [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2305 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2306 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2307 | * 4. Implementation notes: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2308 | * (A). To save one multiplication, we scale the coefficient Qi [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2309 | * to Qi*2^i, and replace z by (x^2)/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2310 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2311 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2312 | * (ii) if k=0, return r-E [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2313 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2314 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2315 | * else return 1.0+2.0*(r-E); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2316 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2317 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2318 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2319 | * [ 98s] | ~ [ 98s] 2320 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2321 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2322 | * expm1(-INF) is -1, and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2323 | * for finite argument, only expm1(0)=0 is exact. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2324 | * [ 98s] | ~ [ 98s] 2325 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2326 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2327 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2328 | * [ 98s] | ~ [ 98s] 2329 | * Misc. info. [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2330 | * For IEEE double [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2331 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2332 | * [ 98s] | ~ [ 98s] 2333 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 2334 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2335 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2336 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2337 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2338 | */ [ 98s] | ~~ [ 98s] 2339 | double expm1(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2340 | { [ 98s] | ~ [ 98s] 2341 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2342 | one [ 98s] | ~~~ [ 98s] 2343 | = 1.0, [ 98s] | ~~~~~~ [ 98s] 2344 | tiny = 1.0e-300, [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2345 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2346 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2347 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2348 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2349 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2350 | x*x/2: */ [ 98s] | ~~~~~~~~~ [ 98s] 2351 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2352 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2353 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2354 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2355 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2356 | [ 98s] | [ 98s] 2357 | constexpr volatile double huge = 1.0e+300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2358 | [ 98s] | [ 98s] 2359 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2360 | int32_t k, xsb; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2361 | uint32_t hx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2362 | [ 98s] | [ 98s] 2363 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2364 | xsb = hx & 0x80000000; /* sign bit of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2365 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2366 | [ 98s] | [ 98s] 2367 | /* filter out huge and non-finite argument */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2368 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2369 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2370 | if (hx >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2371 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2372 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2373 | if (((hx & 0xFFFFF) | low) != 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2374 | return x + x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2375 | else [ 98s] | ~~~~ [ 98s] 2376 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2377 | } [ 98s] | ~ [ 98s] 2378 | if (x > o_threshold) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2379 | return huge * huge; /* overflow */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2380 | } [ 98s] | ~ [ 98s] 2381 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2382 | /* raise inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2383 | return tiny - one; /* return -1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2384 | } [ 98s] | ~ [ 98s] 2385 | } [ 98s] | ~ [ 98s] 2386 | [ 98s] | [ 98s] 2387 | /* argument reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2388 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2389 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2390 | if (xsb == 0) { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2391 | hi = x - ln2_hi; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2392 | lo = ln2_lo; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2393 | k = 1; [ 98s] | ~~~~~~ [ 98s] 2394 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2395 | hi = x + ln2_hi; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2396 | lo = -ln2_lo; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2397 | k = -1; [ 98s] | ~~~~~~~ [ 98s] 2398 | } [ 98s] | ~ [ 98s] 2399 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2400 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2401 | t = k; [ 98s] | ~~~~~~ [ 98s] 2402 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2403 | lo = t * ln2_lo; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2404 | } [ 98s] | ~ [ 98s] 2405 | STRICT_ASSIGN(double, x, hi - lo); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2406 | c = (hi - x) - lo; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2407 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2408 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2409 | return x - (t - (huge + x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2410 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2411 | k = 0; [ 98s] | ~~~~~~ [ 98s] 2412 | } [ 98s] | ~ [ 98s] 2413 | [ 98s] | [ 98s] 2414 | /* x is now in primary range */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2415 | hfx = 0.5 * x; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2416 | hxs = x * hfx; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2417 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2418 | t = 3.0 - r1 * hfx; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2419 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2420 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2421 | return x - (x * e - hxs); /* c is 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2422 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2423 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2424 | e = (x * (e - c) - c); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2425 | e -= hxs; [ 98s] | ~~~~~~~~~ [ 98s] 2426 | if (k == -1) [ 98s] | ~~~~~~~~~~~~ [ 98s] 2427 | return 0.5 * (x - e) - 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2428 | if (k == 1) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2429 | if (x < -0.25) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2430 | return -2.0 * (e - (x + 0.5)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2431 | else [ 98s] | ~~~~ [ 98s] 2432 | return one + 2.0 * (x - e); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2433 | } [ 98s] | ~ [ 98s] 2434 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2435 | y = one - (e - x); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2436 | // TODO(mvstanton): is this replacement for the hex float [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2437 | // sufficient? [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2438 | // if (k == 1024) y = y*2.0*0x1p1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2439 | if (k == 1024) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2440 | y = y * 2.0 * 8.98846567431158e+307; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2441 | else [ 98s] | ~~~~ [ 98s] 2442 | y = y * twopk; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2443 | return y - one; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2444 | } [ 98s] | ~ [ 98s] 2445 | t = one; [ 98s] | ~~~~~~~~ [ 98s] 2446 | if (k < 20) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2447 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2448 | y = t - (e - x); [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2449 | y = y * twopk; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2450 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2451 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2452 | y = x - (e + t); [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2453 | y += one; [ 98s] | ~~~~~~~~~ [ 98s] 2454 | y = y * twopk; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2455 | } [ 98s] | ~ [ 98s] 2456 | } [ 98s] | ~ [ 98s] 2457 | return y; [ 98s] | ~~~~~~~~~ [ 98s] 2458 | } [ 98s] | ~ [ 98s] 2459 | [ 98s] | [ 98s] 2460 | double cbrt(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2461 | { [ 98s] | ~ [ 98s] 2462 | constexpr uint32_t [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2463 | B1 [ 98s] | ~~ [ 98s] 2464 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2465 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2466 | [ 98s] | [ 98s] 2467 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2468 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2469 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2470 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2471 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2472 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2473 | [ 98s] | [ 98s] 2474 | int32_t hx; [ 98s] | ~~~~~~~~~~~ [ 98s] 2475 | union { [ 98s] | ~~~~~~~ [ 98s] 2476 | double value; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2477 | uint64_t bits; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2478 | } u; [ 98s] | ~~~~ [ 98s] 2479 | double r, s, t = 0.0, w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2480 | uint32_t sign; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2481 | uint32_t high, low; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2482 | [ 98s] | [ 98s] 2483 | EXTRACT_WORDS(hx, low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2484 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2485 | hx ^= sign; [ 98s] | ~~~~~~~~~~~ [ 98s] 2486 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2487 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2488 | [ 98s] | [ 98s] 2489 | /* [ 98s] | ~~ [ 98s] 2490 | * Rough cbrt to 5 bits: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2491 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2492 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2493 | * "%" are integer division and modulus with rounding towards minus [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2494 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2495 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2496 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2497 | * floating point representation, for finite positive normal values, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2498 | * ordinary integer division of the value in bits magically gives [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2499 | * almost exactly the RHS of the above provided we first subtract the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2500 | * exponent bias (1023 for doubles) and later add it back. We do the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2501 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2502 | * division rounds towards minus infinity; this is also efficient. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2503 | */ [ 98s] | ~~ [ 98s] 2504 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2505 | if ((hx | low) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2506 | return (x); /* cbrt(0) is itself */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2507 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2508 | t *= x; [ 98s] | ~~~~~~~ [ 98s] 2509 | GET_HIGH_WORD(high, t); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2510 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2511 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2512 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2513 | } [ 98s] | ~ [ 98s] 2514 | [ 98s] | [ 98s] 2515 | /* [ 98s] | ~~ [ 98s] 2516 | * New cbrt to 23 bits: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2517 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2518 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2519 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2520 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2521 | * gives us bounds for r = t**3/x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2522 | * [ 98s] | ~ [ 98s] 2523 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2524 | */ [ 98s] | ~~ [ 98s] 2525 | r = (t * t) * (t / x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2526 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2527 | [ 98s] | [ 98s] 2528 | /* [ 98s] | ~~ [ 98s] 2529 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2530 | * the result is larger in magnitude than cbrt(x) but not much more than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2531 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2532 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2533 | * in the rounded t, the infinite-precision error in the Newton [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2534 | * approximation barely affects third digit in the final error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2535 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2536 | * before the final error is larger than 0.667 ulps. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2537 | */ [ 98s] | ~~ [ 98s] 2538 | u.value = t; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2539 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2540 | t = u.value; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2541 | [ 98s] | [ 98s] 2542 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2543 | s = t * t; /* t*t is exact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2544 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2545 | w = t + t; /* t+t is exact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2546 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2547 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2548 | [ 98s] | [ 98s] 2549 | return (t); [ 98s] | ~~~~~~~~~~~ [ 98s] 2550 | } [ 98s] | ~ [ 98s] 2551 | [ 98s] | [ 98s] 2552 | /* sin(x) [ 98s] | ~~~~~~~~~ [ 98s] 2553 | * Return sine function of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2554 | * [ 98s] | ~ [ 98s] 2555 | * kernel function: [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2556 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2557 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2558 | * __ieee754_rem_pio2 ... argument reduction routine [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2559 | * [ 98s] | ~ [ 98s] 2560 | * Method. [ 98s] | ~~~~~~~~~ [ 98s] 2561 | * Let S,C and T denote the sin, cos and tan respectively on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2562 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2563 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2564 | * We have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2565 | * [ 98s] | ~ [ 98s] 2566 | * n sin(x) cos(x) tan(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2567 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2568 | * 0 S C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2569 | * 1 C -S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2570 | * 2 -S -C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2571 | * 3 -C S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2572 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2573 | * [ 98s] | ~ [ 98s] 2574 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2575 | * Let trig be any of sin, cos, or tan. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2576 | * trig(+-INF) is NaN, with signals; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2577 | * trig(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2578 | * [ 98s] | ~ [ 98s] 2579 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2580 | * TRIG(x) returns trig(x) nearly rounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2581 | */ [ 98s] | ~~ [ 98s] 2582 | double sin(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2583 | { [ 98s] | ~ [ 98s] 2584 | double y[2], z = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2585 | int32_t n, ix; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2586 | [ 98s] | [ 98s] 2587 | /* High word of x. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2588 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2589 | [ 98s] | [ 98s] 2590 | /* |x| ~< pi/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2591 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2592 | if (ix <= 0x3FE921FB) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2593 | return __kernel_sin(x, z, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2594 | } else if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2595 | /* sin(Inf or NaN) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2596 | return x - x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2597 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2598 | /* argument reduction needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2599 | n = __ieee754_rem_pio2(x, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2600 | switch (n & 3) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2601 | case 0: [ 98s] | ~~~~~~~ [ 98s] 2602 | return __kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2603 | case 1: [ 98s] | ~~~~~~~ [ 98s] 2604 | return __kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2605 | case 2: [ 98s] | ~~~~~~~ [ 98s] 2606 | return -__kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2607 | default: [ 98s] | ~~~~~~~~ [ 98s] 2608 | return -__kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2609 | } [ 98s] | ~ [ 98s] 2610 | } [ 98s] | ~ [ 98s] 2611 | } [ 98s] | ~ [ 98s] 2612 | [ 98s] | [ 98s] 2613 | /* tan(x) [ 98s] | ~~~~~~~~~ [ 98s] 2614 | * Return tangent function of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2615 | * [ 98s] | ~ [ 98s] 2616 | * kernel function: [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2617 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2618 | * __ieee754_rem_pio2 ... argument reduction routine [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2619 | * [ 98s] | ~ [ 98s] 2620 | * Method. [ 98s] | ~~~~~~~~~ [ 98s] 2621 | * Let S,C and T denote the sin, cos and tan respectively on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2622 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2623 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2624 | * We have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2625 | * [ 98s] | ~ [ 98s] 2626 | * n sin(x) cos(x) tan(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2627 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2628 | * 0 S C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2629 | * 1 C -S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2630 | * 2 -S -C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2631 | * 3 -C S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2632 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2633 | * [ 98s] | ~ [ 98s] 2634 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2635 | * Let trig be any of sin, cos, or tan. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2636 | * trig(+-INF) is NaN, with signals; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2637 | * trig(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2638 | * [ 98s] | ~ [ 98s] 2639 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2640 | * TRIG(x) returns trig(x) nearly rounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2641 | */ [ 98s] | ~~ [ 98s] 2642 | double tan(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2643 | { [ 98s] | ~ [ 98s] 2644 | double y[2], z = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2645 | int32_t n, ix; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2646 | [ 98s] | [ 98s] 2647 | /* High word of x. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2648 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2649 | [ 98s] | [ 98s] 2650 | /* |x| ~< pi/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2651 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2652 | if (ix <= 0x3FE921FB) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2653 | return __kernel_tan(x, z, 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2654 | } else if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2655 | /* tan(Inf or NaN) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2656 | return x - x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2657 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2658 | /* argument reduction needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2659 | n = __ieee754_rem_pio2(x, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2660 | /* 1 -> n even, -1 -> n odd */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2661 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2662 | } [ 98s] | ~ [ 98s] 2663 | } [ 98s] | ~ [ 98s] 2664 | [ 98s] | [ 98s] 2665 | /* [ 98s] | ~~ [ 98s] 2666 | * ES6 draft 09-27-13, section 20.2.2.12. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2667 | * Math.cosh [ 98s] | ~~~~~~~~~~~ [ 98s] 2668 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2669 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2670 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2671 | * 2. [ 98s] | ~~~~~~~~~ [ 98s] 2672 | * [ exp(x) - 1 ]^2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2673 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2674 | * 2*exp(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2675 | * [ 98s] | ~ [ 98s] 2676 | * exp(x) + 1/exp(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2677 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2678 | * 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2679 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2680 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2681 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2682 | * [ 98s] | ~ [ 98s] 2683 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2684 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2685 | * only cosh(0)=1 is exact for finite x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2686 | */ [ 98s] | ~~ [ 98s] 2687 | double cosh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2688 | { [ 98s] | ~ [ 98s] 2689 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2690 | constexpr double one = 1.0, half = 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2691 | constexpr volatile double huge = 1.0e+300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2692 | [ 98s] | [ 98s] 2693 | int32_t ix; [ 98s] | ~~~~~~~~~~~ [ 98s] 2694 | [ 98s] | [ 98s] 2695 | /* High word of |x|. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2696 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2697 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2698 | [ 98s] | [ 98s] 2699 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2700 | if (ix < 0x3FD62E43) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2701 | double t = expm1(fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2702 | double w = one + t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2703 | // For |x| < 2^-55, cosh(x) = 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2704 | if (ix < 0x3C800000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2705 | return w; [ 98s] | ~~~~~~~~~ [ 98s] 2706 | return one + (t * t) / (w + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2707 | } [ 98s] | ~ [ 98s] 2708 | [ 98s] | [ 98s] 2709 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2710 | if (ix < 0x40360000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2711 | double t = exp(fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2712 | return half * t + half / t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2713 | } [ 98s] | ~ [ 98s] 2714 | [ 98s] | [ 98s] 2715 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2716 | if (ix < 0x40862E42) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2717 | return half * exp(fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2718 | [ 98s] | [ 98s] 2719 | // |x| in [log(maxdouble), overflowthreshold] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2720 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2721 | double w = exp(half * fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2722 | double t = half * w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2723 | return t * w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2724 | } [ 98s] | ~ [ 98s] 2725 | [ 98s] | [ 98s] 2726 | /* x is INF or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2727 | if (ix >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2728 | return x * x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2729 | [ 98s] | [ 98s] 2730 | // |x| > overflowthreshold. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2731 | return huge * huge; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2732 | } [ 98s] | ~ [ 98s] 2733 | [ 98s] | [ 98s] 2734 | /* [ 98s] | ~~ [ 98s] 2735 | * ES6 draft 09-27-13, section 20.2.2.30. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2736 | * Math.sinh [ 98s] | ~~~~~~~~~~~ [ 98s] 2737 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2738 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2739 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2740 | * 2. [ 98s] | ~~~~~~~~~ [ 98s] 2741 | * E + E/(E+1) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2742 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2743 | * 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2744 | * [ 98s] | ~ [ 98s] 2745 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2746 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2747 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2748 | * [ 98s] | ~ [ 98s] 2749 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2750 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2751 | * only sinh(0)=0 is exact for finite x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2752 | */ [ 98s] | ~~ [ 98s] 2753 | double sinh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2754 | { [ 98s] | ~ [ 98s] 2755 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2756 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2757 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2758 | constexpr double shuge = 1.0e307; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2759 | [ 98s] | [ 98s] 2760 | double h = (x < 0) ? -0.5 : 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2761 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2762 | double ax = fabs(x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2763 | if (ax < 22) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2764 | // For |x| < 2^-28, sinh(x) = x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2765 | if (ax < TWO_M28) [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2766 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 2767 | double t = expm1(ax); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2768 | if (ax < 1) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2769 | return h * (2 * t - t * t / (t + 1)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2770 | } [ 98s] | ~ [ 98s] 2771 | return h * (t + t / (t + 1)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2772 | } [ 98s] | ~ [ 98s] 2773 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2774 | if (ax < LOG_MAXD) [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2775 | return h * exp(ax); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2776 | // |x| in [log(maxdouble), overflowthreshold] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2777 | // overflowthreshold = 710.4758600739426 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2778 | if (ax <= KSINH_OVERFLOW) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2779 | double w = exp(0.5 * ax); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2780 | double t = h * w; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2781 | return t * w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2782 | } [ 98s] | ~ [ 98s] 2783 | // |x| > overflowthreshold or is NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2784 | // Return Infinity of the appropriate sign or NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2785 | return x * shuge; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2786 | } [ 98s] | ~ [ 98s] 2787 | [ 98s] | [ 98s] 2788 | /* Tanh(x) [ 98s] | ~~~~~~~~~~ [ 98s] 2789 | * Return the Hyperbolic Tangent of x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2790 | * [ 98s] | ~ [ 98s] 2791 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2792 | * x -x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2793 | * e - e [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2794 | * 0. tanh(x) is defined to be ----------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2795 | * x -x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2796 | * e + e [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2797 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2798 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2799 | * -t [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2800 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2801 | * t + 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2802 | * 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2803 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2804 | * t + 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2805 | * 22 <= x <= INF : tanh(x) := 1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2806 | * [ 98s] | ~ [ 98s] 2807 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2808 | * tanh(NaN) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2809 | * only tanh(0)=0 is exact for finite argument. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2810 | */ [ 98s] | ~~ [ 98s] 2811 | double tanh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2812 | { [ 98s] | ~ [ 98s] 2813 | constexpr volatile double tiny = 1.0e-300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2814 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2815 | double t, z; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2816 | int32_t jx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2817 | [ 98s] | [ 98s] 2818 | GET_HIGH_WORD(jx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2819 | ix = jx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2820 | [ 98s] | [ 98s] 2821 | /* x is INF or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2822 | if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2823 | if (jx >= 0) [ 98s] | ~~~~~~~~~~~~ [ 98s] 2824 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2825 | else [ 98s] | ~~~~ [ 98s] 2826 | return one / x - one; /* tanh(NaN) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2827 | } [ 98s] | ~ [ 98s] 2828 | [ 98s] | [ 98s] 2829 | /* |x| < 22 */ [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2830 | if (ix < 0x40360000) { /* |x|<22 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2831 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2832 | return x; /* tanh(tiny) = tiny with inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2833 | } [ 98s] | ~ [ 98s] 2834 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2835 | t = expm1(two * fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2836 | z = one - two / (t + two); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2837 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2838 | t = expm1(-two * fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2839 | z = -t / (t + two); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2840 | } [ 98s] | ~ [ 98s] 2841 | /* |x| >= 22, return +-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2842 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2843 | z = one - tiny; /* raise inexact flag */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2844 | } [ 98s] | ~ [ 98s] 2845 | return (jx >= 0) ? z : -z; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2846 | } [ 98s] | ~ [ 98s] 2847 | [ 98s] | [ 98s] 2848 | double ceil(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2849 | { [ 98s] | ~ [ 98s] 2850 | constexpr double huge = 1.0e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2851 | int i0, i1, j0; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2852 | unsigned i, j; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2853 | i0 = __HI(x); [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2854 | i1 = __LO(x); [ 98s] | ~~~~~~~~~~~ [ 98s] third_party/escargot/src/runtime/IEEE754.cpp:2854:10: note: in expansion of macro '__LO' [ 98s] 2854 | i1 = __LO(x); [ 98s] | ^~~~ [ 98s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 98s] 86 | #define __LO(x) *(int *)&x [ 98s] | ^~~~~~~~~ [ 98s] 87 | #define __HIp(x) *(1 + (int *)x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 88 | #define __LOp(x) *(int *)x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 89 | [ 98s] | [ 98s] 90 | #else [ 98s] | ~~~~~ [ 98s] 91 | [ 98s] | [ 98s] 92 | typedef union { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 93 | double value; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 94 | struct { [ 98s] | ~~~~~~~~ [ 98s] 95 | uint32_t msw; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 96 | uint32_t lsw; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 97 | } parts; [ 98s] | ~~~~~~~~ [ 98s] 98 | struct { [ 98s] | ~~~~~~~~ [ 98s] 99 | uint64_t w; [ 98s] | ~~~~~~~~~~~ [ 98s] 100 | } xparts; [ 98s] | ~~~~~~~~~ [ 98s] 101 | } ieee_double_shape_type; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 102 | [ 98s] | [ 98s] 103 | #define __HI(x) *(int *)&x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 104 | #define __LO(x) *(1 + (int *)&x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 105 | #define __HIp(x) *(int *)x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 106 | #define __LOp(x) *(1 + (int *)x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 107 | [ 98s] | [ 98s] 108 | #endif [ 98s] | ~~~~~~ [ 98s] 109 | [ 98s] | [ 98s] 110 | /* Get two 32 bit ints from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 111 | [ 98s] | [ 98s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 113 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 114 | ieee_double_shape_type ew_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 115 | ew_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 116 | (ix0) = ew_u.parts.msw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 117 | (ix1) = ew_u.parts.lsw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 118 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 119 | [ 98s] | [ 98s] 120 | /* Get a 64-bit int from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 122 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 123 | ieee_double_shape_type ew_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 124 | ew_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 125 | (ix) = ew_u.xparts.w; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 126 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 127 | [ 98s] | [ 98s] 128 | /* Get the more significant 32 bit int from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 129 | [ 98s] | [ 98s] 130 | #define GET_HIGH_WORD(i, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 131 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 132 | ieee_double_shape_type gh_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 133 | gh_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 134 | (i) = gh_u.parts.msw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 135 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 136 | [ 98s] | [ 98s] 137 | /* Get the less significant 32 bit int from a double. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 138 | [ 98s] | [ 98s] 139 | #define GET_LOW_WORD(i, d) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 140 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 141 | ieee_double_shape_type gl_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 142 | gl_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 143 | (i) = gl_u.parts.lsw; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 144 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 145 | [ 98s] | [ 98s] 146 | /* Set a double from two 32 bit ints. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 147 | [ 98s] | [ 98s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 149 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 150 | ieee_double_shape_type iw_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 151 | iw_u.parts.msw = (ix0); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 152 | iw_u.parts.lsw = (ix1); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 153 | (d) = iw_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 154 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 155 | [ 98s] | [ 98s] 156 | /* Set a double from a 64-bit int. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 157 | #define INSERT_WORD64(d, ix) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 158 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 159 | ieee_double_shape_type iw_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 160 | iw_u.xparts.w = (ix); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 161 | (d) = iw_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 162 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 163 | [ 98s] | [ 98s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 165 | [ 98s] | [ 98s] 166 | #define SET_HIGH_WORD(d, v) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 167 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 168 | ieee_double_shape_type sh_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 169 | sh_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 170 | sh_u.parts.msw = (v); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 171 | (d) = sh_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 172 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 173 | [ 98s] | [ 98s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 175 | [ 98s] | [ 98s] 176 | #define SET_LOW_WORD(d, v) \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 177 | do { \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 178 | ieee_double_shape_type sl_u; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 179 | sl_u.value = (d); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 180 | sl_u.parts.lsw = (v); \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 181 | (d) = sl_u.value; \ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 182 | } while (0) [ 98s] | ~~~~~~~~~~~ [ 98s] 183 | [ 98s] | [ 98s] 184 | /* Support macro. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 185 | [ 98s] | [ 98s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 187 | [ 98s] | [ 98s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 193 | [ 98s] | [ 98s] 194 | /* __ieee754_rem_pio2(x,y) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 195 | * [ 98s] | ~ [ 98s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 197 | * use __kernel_rem_pio2() [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 198 | */ [ 98s] | ~~ [ 98s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 200 | { [ 98s] | ~ [ 98s] 201 | /* [ 98s] | ~~ [ 98s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 203 | */ [ 98s] | ~~ [ 98s] 204 | constexpr int32_t two_over_pi[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 205 | 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, 0x95993C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 206 | 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, 0x424DD2, 0xE00649, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 207 | 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, 0xA73EE8, 0x8235F5, 0x2EBB44, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 208 | 0x84E99C, 0x7026B4, 0x5F7E41, 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 209 | 0xBDF928, 0x3B1FF8, 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 210 | 0x367ECF, 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 211 | 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, 0x560330, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 212 | 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, 0x91615E, 0xE61B08, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 213 | 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, 0x4D7327, 0x310606, 0x1556CA, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 214 | 0x73A8C9, 0x60E27B, 0xC08C6B, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 215 | }; [ 98s] | ~~ [ 98s] 216 | [ 98s] | [ 98s] 217 | constexpr int32_t npio2_hw[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 218 | 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 219 | 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 220 | 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 221 | 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 222 | 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 223 | 0x404858EB, 0x404921FB, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 224 | }; [ 98s] | ~~ [ 98s] 225 | [ 98s] | [ 98s] 226 | /* [ 98s] | ~~ [ 98s] 227 | * invpio2: 53 bits of 2/pi [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 228 | * pio2_1: first 33 bit of pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 229 | * pio2_1t: pi/2 - pio2_1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 230 | * pio2_2: second 33 bit of pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 231 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 232 | * pio2_3: third 33 bit of pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 233 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 234 | */ [ 98s] | ~~ [ 98s] 235 | [ 98s] | [ 98s] 236 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 237 | zero [ 98s] | ~~~~ [ 98s] 238 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 239 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 240 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 241 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 242 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 243 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 244 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 245 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 246 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 247 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 248 | [ 98s] | [ 98s] 249 | double z, w, t, r, fn; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 250 | double tx[3]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 251 | int32_t e0, i, j, nx, n, ix, hx; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 252 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 253 | [ 98s] | [ 98s] 254 | z = 0; [ 98s] | ~~~~~~ [ 98s] 255 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 256 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 257 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 258 | y[0] = x; [ 98s] | ~~~~~~~~~ [ 98s] 259 | y[1] = 0; [ 98s] | ~~~~~~~~~ [ 98s] 260 | return 0; [ 98s] | ~~~~~~~~~ [ 98s] 261 | } [ 98s] | ~ [ 98s] 262 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 263 | if (hx > 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 264 | z = x - pio2_1; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 265 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 266 | y[0] = z - pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 267 | y[1] = (z - y[0]) - pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 268 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 269 | z -= pio2_2; [ 98s] | ~~~~~~~~~~~~ [ 98s] 270 | y[0] = z - pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 271 | y[1] = (z - y[0]) - pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 272 | } [ 98s] | ~ [ 98s] 273 | return 1; [ 98s] | ~~~~~~~~~ [ 98s] 274 | } else { /* negative x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 275 | z = x + pio2_1; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 276 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 277 | y[0] = z + pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 278 | y[1] = (z - y[0]) + pio2_1t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 279 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 280 | z += pio2_2; [ 98s] | ~~~~~~~~~~~~ [ 98s] 281 | y[0] = z + pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 282 | y[1] = (z - y[0]) + pio2_2t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 283 | } [ 98s] | ~ [ 98s] 284 | return -1; [ 98s] | ~~~~~~~~~~ [ 98s] 285 | } [ 98s] | ~ [ 98s] 286 | } [ 98s] | ~ [ 98s] 287 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 288 | t = fabs(x); [ 98s] | ~~~~~~~~~~~~ [ 98s] 289 | n = static_cast(t * invpio2 + half); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 290 | fn = static_cast(n); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 291 | r = t - fn * pio2_1; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 292 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 293 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 294 | y[0] = r - w; /* quick check no cancellation */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 295 | } else { [ 98s] | ~~~~~~~~ [ 98s] 296 | uint32_t high; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 297 | j = ix >> 20; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 298 | y[0] = r - w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 299 | GET_HIGH_WORD(high, y[0]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 300 | i = j - ((high >> 20) & 0x7FF); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 301 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 302 | t = r; [ 98s] | ~~~~~~ [ 98s] 303 | w = fn * pio2_2; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 304 | r = t - w; [ 98s] | ~~~~~~~~~~ [ 98s] 305 | w = fn * pio2_2t - ((t - r) - w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 306 | y[0] = r - w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 307 | GET_HIGH_WORD(high, y[0]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 308 | i = j - ((high >> 20) & 0x7FF); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 309 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 310 | t = r; /* will cover all possible cases */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 311 | w = fn * pio2_3; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 312 | r = t - w; [ 98s] | ~~~~~~~~~~ [ 98s] 313 | w = fn * pio2_3t - ((t - r) - w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 314 | y[0] = r - w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 315 | } [ 98s] | ~ [ 98s] 316 | } [ 98s] | ~ [ 98s] 317 | } [ 98s] | ~ [ 98s] 318 | y[1] = (r - y[0]) - w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 319 | if (hx < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 320 | y[0] = -y[0]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 321 | y[1] = -y[1]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 322 | return -n; [ 98s] | ~~~~~~~~~~ [ 98s] 323 | } else { [ 98s] | ~~~~~~~~ [ 98s] 324 | return n; [ 98s] | ~~~~~~~~~ [ 98s] 325 | } [ 98s] | ~ [ 98s] 326 | } [ 98s] | ~ [ 98s] 327 | /* [ 98s] | ~~ [ 98s] 328 | * all other (large) arguments [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 329 | */ [ 98s] | ~~ [ 98s] 330 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 331 | y[0] = y[1] = x - x; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 332 | return 0; [ 98s] | ~~~~~~~~~ [ 98s] 333 | } [ 98s] | ~ [ 98s] 334 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 335 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 336 | SET_LOW_WORD(z, low); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 337 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 338 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 339 | for (i = 0; i < 2; i++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 340 | tx[i] = static_cast(static_cast(z)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 341 | z = (z - tx[i]) * two24; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 342 | } [ 98s] | ~ [ 98s] 343 | tx[2] = z; [ 98s] | ~~~~~~~~~~ [ 98s] 344 | nx = 3; [ 98s] | ~~~~~~~ [ 98s] 345 | while (tx[nx - 1] == zero) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 346 | nx--; /* skip zero term */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 347 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 348 | if (hx < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 349 | y[0] = -y[0]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 350 | y[1] = -y[1]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 351 | return -n; [ 98s] | ~~~~~~~~~~ [ 98s] 352 | } [ 98s] | ~ [ 98s] 353 | return n; [ 98s] | ~~~~~~~~~ [ 98s] 354 | } [ 98s] | ~ [ 98s] 355 | [ 98s] | [ 98s] 356 | /* __kernel_cos( x, y ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 357 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 358 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 359 | * Input y is the tail of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 360 | * [ 98s] | ~ [ 98s] 361 | * Algorithm [ 98s] | ~~~~~~~~~~~ [ 98s] 362 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 363 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 364 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 365 | * [0,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 366 | * 4 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 367 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 368 | * where the remez error is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 369 | * [ 98s] | ~ [ 98s] 370 | * | 2 4 6 8 10 12 14 | -58 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 371 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 372 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 373 | * [ 98s] | ~ [ 98s] 374 | * 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 375 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 376 | * cos(x) = 1 - x*x/2 + r [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 377 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 378 | * ~ cos(x) - x*y, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 379 | * a correction term is necessary in cos(x) and hence [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 380 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 381 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 382 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 383 | * Then [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 384 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 385 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 386 | * magnitude of the latter is at least a quarter of x*x/2, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 387 | * thus, reducing the rounding error in the subtraction. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 388 | */ [ 98s] | ~~ [ 98s] 389 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 390 | { [ 98s] | ~ [ 98s] 391 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 392 | one [ 98s] | ~~~ [ 98s] 393 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 394 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 395 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 396 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 397 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 398 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 399 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 400 | [ 98s] | [ 98s] 401 | double a, iz, z, r, qx; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 402 | int32_t ix; [ 98s] | ~~~~~~~~~~~ [ 98s] 403 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 404 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 405 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 406 | return one; /* generate inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 407 | } [ 98s] | ~ [ 98s] 408 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 409 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 410 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 411 | return one - (0.5 * z - (z * r - x * y)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 412 | } else { [ 98s] | ~~~~~~~~ [ 98s] 413 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 414 | qx = 0.28125; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 415 | } else { [ 98s] | ~~~~~~~~ [ 98s] 416 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 417 | } [ 98s] | ~ [ 98s] 418 | iz = 0.5 * z - qx; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 419 | a = one - qx; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 420 | return a - (iz - (z * r - x * y)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 421 | } [ 98s] | ~ [ 98s] 422 | } [ 98s] | ~ [ 98s] 423 | [ 98s] | [ 98s] 424 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 425 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 426 | * [ 98s] | ~ [ 98s] 427 | * __kernel_rem_pio2 return the last three digits of N with [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 428 | * y = x - N*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 429 | * so that |y| < pi/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 430 | * [ 98s] | ~ [ 98s] 431 | * The method is to compute the integer (mod 8) and fraction parts of [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 432 | * (2/pi)*x without doing the full multiplication. In general we [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 433 | * skip the part of the product that are known to be a huge integer ( [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 434 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 435 | * independent of the exponent of the input. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 436 | * [ 98s] | ~ [ 98s] 437 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 438 | * [ 98s] | ~ [ 98s] 439 | * Input parameters: [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 440 | * x[] The input value (must be positive) is broken into nx [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 441 | * pieces of 24-bit integers in double precision format. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 442 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 443 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 444 | * match x's up to 24 bits. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 445 | * [ 98s] | ~ [ 98s] 446 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 447 | * e0 = ilogb(z)-23 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 448 | * z = scalbn(z,-e0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 449 | * for i = 0,1,2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 450 | * x[i] = floor(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 451 | * z = (z-x[i])*2**24 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 452 | * [ 98s] | ~ [ 98s] 453 | * [ 98s] | ~ [ 98s] 454 | * y[] output result in an array of double precision numbers. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 455 | * The dimension of y[] is: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 456 | * 24-bit precision 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 457 | * 53-bit precision 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 458 | * 64-bit precision 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 459 | * 113-bit precision 3 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 460 | * The actual value is the sum of them. Thus for 113-bit [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 461 | * precison, one may have to do something like: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 462 | * [ 98s] | ~ [ 98s] 463 | * long double t,w,r_head, r_tail; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 464 | * t = (long double)y[2] + (long double)y[1]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 465 | * w = (long double)y[0]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 466 | * r_head = t+w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 467 | * r_tail = w - (r_head - t); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 468 | * [ 98s] | ~ [ 98s] 469 | * e0 The exponent of x[0] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 470 | * [ 98s] | ~ [ 98s] 471 | * nx dimension of x[] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 472 | * [ 98s] | ~ [ 98s] 473 | * prec an integer indicating the precision: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 474 | * 0 24 bits (single) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 475 | * 1 53 bits (double) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 476 | * 2 64 bits (extended) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 477 | * 3 113 bits (quad) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 478 | * [ 98s] | ~ [ 98s] 479 | * ipio2[] [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 480 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 481 | * bit of 2/pi after binary point. The corresponding [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 482 | * floating value is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 483 | * [ 98s] | ~ [ 98s] 484 | * ipio2[i] * 2^(-24(i+1)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 485 | * [ 98s] | ~ [ 98s] 486 | * External function: [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 487 | * double scalbn(), floor(); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 488 | * [ 98s] | ~ [ 98s] 489 | * [ 98s] | ~ [ 98s] 490 | * Here is the description of some local variables: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 491 | * [ 98s] | ~ [ 98s] 492 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 493 | * in the computation. The recommended value is 2,3,4, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 494 | * 6 for single, double, extended,and quad. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 495 | * [ 98s] | ~ [ 98s] 496 | * jz local integer variable indicating the number of [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 497 | * terms of ipio2[] used. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 498 | * [ 98s] | ~ [ 98s] 499 | * jx nx - 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 500 | * [ 98s] | ~ [ 98s] 501 | * jv index for pointing to the suitable ipio2[] for the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 502 | * computation. In general, we want [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 503 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 504 | * is an integer. Thus [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 505 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 506 | * Hence jv = max(0,(e0-3)/24). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 507 | * [ 98s] | ~ [ 98s] 508 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 509 | * [ 98s] | ~ [ 98s] 510 | * q[] double array with integral value, representing the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 511 | * 24-bits chunk of the product of x and 2/pi. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 512 | * [ 98s] | ~ [ 98s] 513 | * q0 the corresponding exponent of q[0]. Note that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 514 | * exponent for q[i] would be q0-24*i. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 515 | * [ 98s] | ~ [ 98s] 516 | * PIo2[] double precision array, obtained by cutting pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 517 | * into 24 bits chunks. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 518 | * [ 98s] | ~ [ 98s] 519 | * f[] ipio2[] in floating point [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 520 | * [ 98s] | ~ [ 98s] 521 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 522 | * [ 98s] | ~ [ 98s] 523 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 524 | * [ 98s] | ~ [ 98s] 525 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 526 | * it also indicates the *sign* of the result. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 527 | * [ 98s] | ~ [ 98s] 528 | */ [ 98s] | ~~ [ 98s] 529 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 530 | const int32_t *ipio2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 531 | { [ 98s] | ~ [ 98s] 532 | /* Constants: [ 98s] | ~~~~~~~~~~~~~ [ 98s] 533 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 534 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 535 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 536 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 537 | */ [ 98s] | ~~ [ 98s] 538 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 539 | [ 98s] | [ 98s] 540 | constexpr double PIo2[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 541 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 542 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 543 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 544 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 545 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 546 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 547 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 548 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 549 | }; [ 98s] | ~~ [ 98s] 550 | [ 98s] | [ 98s] 551 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 552 | zero [ 98s] | ~~~~ [ 98s] 553 | = 0.0, [ 98s] | ~~~~~~ [ 98s] 554 | one = 1.0, [ 98s] | ~~~~~~~~~~ [ 98s] 555 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 556 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 557 | [ 98s] | [ 98s] 558 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 559 | double z, fw, f[20], fq[20], q[20]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 560 | [ 98s] | [ 98s] 561 | /* initialize jk*/ [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 562 | jk = init_jk[prec]; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 563 | jp = jk; [ 98s] | ~~~~~~~~ [ 98s] 564 | [ 98s] | [ 98s] 565 | /* determine jx,jv,q0, note that 3>q0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 566 | jx = nx - 1; [ 98s] | ~~~~~~~~~~~~ [ 98s] 567 | jv = (e0 - 3) / 24; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 568 | if (jv < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 569 | jv = 0; [ 98s] | ~~~~~~~ [ 98s] 570 | q0 = e0 - 24 * (jv + 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 571 | [ 98s] | [ 98s] 572 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 573 | j = jv - jx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 574 | m = jx + jk; [ 98s] | ~~~~~~~~~~~~ [ 98s] 575 | for (i = 0; i <= m; i++, j++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 576 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 577 | } [ 98s] | ~ [ 98s] 578 | [ 98s] | [ 98s] 579 | /* compute q[0],q[1],...q[jk] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 580 | for (i = 0; i <= jk; i++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 581 | for (j = 0, fw = 0.0; j <= jx; j++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 582 | fw += x[j] * f[jx + i - j]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 583 | q[i] = fw; [ 98s] | ~~~~~~~~~~ [ 98s] 584 | } [ 98s] | ~ [ 98s] 585 | [ 98s] | [ 98s] 586 | jz = jk; [ 98s] | ~~~~~~~~ [ 98s] 587 | recompute: [ 98s] | ~~~~~~~~~~ [ 98s] 588 | /* distill q[] into iq[] reversingly */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 589 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 590 | fw = static_cast(static_cast(twon24 * z)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 591 | iq[i] = static_cast(z - two24 * fw); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 592 | z = q[j - 1] + fw; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 593 | } [ 98s] | ~ [ 98s] 594 | [ 98s] | [ 98s] 595 | /* compute n */ [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 596 | z = scalbn(z, q0); /* actual value of z */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 597 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 598 | n = static_cast(z); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 599 | z -= static_cast(n); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 600 | ih = 0; [ 98s] | ~~~~~~~ [ 98s] 601 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 602 | i = (iq[jz - 1] >> (24 - q0)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 603 | n += i; [ 98s] | ~~~~~~~ [ 98s] 604 | iq[jz - 1] -= i << (24 - q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 605 | ih = iq[jz - 1] >> (23 - q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 606 | } else if (q0 == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 607 | ih = iq[jz - 1] >> 23; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 608 | } else if (z >= 0.5) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 609 | ih = 2; [ 98s] | ~~~~~~~ [ 98s] 610 | } [ 98s] | ~ [ 98s] 611 | [ 98s] | [ 98s] 612 | if (ih > 0) { /* q > 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 613 | n += 1; [ 98s] | ~~~~~~~ [ 98s] 614 | carry = 0; [ 98s] | ~~~~~~~~~~ [ 98s] 615 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 616 | j = iq[i]; [ 98s] | ~~~~~~~~~~ [ 98s] 617 | if (carry == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 618 | if (j != 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 619 | carry = 1; [ 98s] | ~~~~~~~~~~ [ 98s] 620 | iq[i] = 0x1000000 - j; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 621 | } [ 98s] | ~ [ 98s] 622 | } else { [ 98s] | ~~~~~~~~ [ 98s] 623 | iq[i] = 0xFFFFFF - j; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 624 | } [ 98s] | ~ [ 98s] 625 | } [ 98s] | ~ [ 98s] 626 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 627 | switch (q0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 628 | case 1: [ 98s] | ~~~~~~~ [ 98s] 629 | iq[jz - 1] &= 0x7FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 630 | break; [ 98s] | ~~~~~~ [ 98s] 631 | case 2: [ 98s] | ~~~~~~~ [ 98s] 632 | iq[jz - 1] &= 0x3FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 633 | break; [ 98s] | ~~~~~~ [ 98s] 634 | } [ 98s] | ~ [ 98s] 635 | } [ 98s] | ~ [ 98s] 636 | if (ih == 2) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 637 | z = one - z; [ 98s] | ~~~~~~~~~~~~ [ 98s] 638 | if (carry != 0) [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 639 | z -= scalbn(one, q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 640 | } [ 98s] | ~ [ 98s] 641 | } [ 98s] | ~ [ 98s] 642 | [ 98s] | [ 98s] 643 | /* check if recomputation is needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 644 | if (z == zero) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 645 | j = 0; [ 98s] | ~~~~~~ [ 98s] 646 | for (i = jz - 1; i >= jk; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 647 | j |= iq[i]; [ 98s] | ~~~~~~~~~~~ [ 98s] 648 | if (j == 0) { /* need recomputation */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 649 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 650 | /* k = no. of terms needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 651 | } [ 98s] | ~ [ 98s] 652 | [ 98s] | [ 98s] 653 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 654 | f[jx + i] = ipio2[jv + i]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 655 | for (j = 0, fw = 0.0; j <= jx; j++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 656 | fw += x[j] * f[jx + i - j]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 657 | q[i] = fw; [ 98s] | ~~~~~~~~~~ [ 98s] 658 | } [ 98s] | ~ [ 98s] 659 | jz += k; [ 98s] | ~~~~~~~~ [ 98s] 660 | goto recompute; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 661 | } [ 98s] | ~ [ 98s] 662 | } [ 98s] | ~ [ 98s] 663 | [ 98s] | [ 98s] 664 | /* chop off zero terms */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 665 | if (z == 0.0) { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 666 | jz -= 1; [ 98s] | ~~~~~~~~ [ 98s] 667 | q0 -= 24; [ 98s] | ~~~~~~~~~ [ 98s] 668 | while (iq[jz] == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 669 | jz--; [ 98s] | ~~~~~ [ 98s] 670 | q0 -= 24; [ 98s] | ~~~~~~~~~ [ 98s] 671 | } [ 98s] | ~ [ 98s] 672 | } else { /* break z into 24-bit if necessary */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 673 | z = scalbn(z, -q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 674 | if (z >= two24) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 675 | fw = static_cast(static_cast(twon24 * z)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 676 | iq[jz] = z - two24 * fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 677 | jz += 1; [ 98s] | ~~~~~~~~ [ 98s] 678 | q0 += 24; [ 98s] | ~~~~~~~~~ [ 98s] 679 | iq[jz] = fw; [ 98s] | ~~~~~~~~~~~~ [ 98s] 680 | } else { [ 98s] | ~~~~~~~~ [ 98s] 681 | iq[jz] = z; [ 98s] | ~~~~~~~~~~~ [ 98s] 682 | } [ 98s] | ~ [ 98s] 683 | } [ 98s] | ~ [ 98s] 684 | [ 98s] | [ 98s] 685 | /* convert integer "bit" chunk to floating-point value */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 686 | fw = scalbn(one, q0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 687 | for (i = jz; i >= 0; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 688 | q[i] = fw * iq[i]; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 689 | fw *= twon24; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 690 | } [ 98s] | ~ [ 98s] 691 | [ 98s] | [ 98s] 692 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 693 | for (i = jz; i >= 0; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 694 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 695 | fw += PIo2[k] * q[i + k]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 696 | fq[jz - i] = fw; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 697 | } [ 98s] | ~ [ 98s] 698 | [ 98s] | [ 98s] 699 | /* compress fq[] into y[] */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 700 | switch (prec) { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 701 | case 0: [ 98s] | ~~~~~~~ [ 98s] 702 | fw = 0.0; [ 98s] | ~~~~~~~~~ [ 98s] 703 | for (i = jz; i >= 0; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 704 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 705 | y[0] = (ih == 0) ? fw : -fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 706 | break; [ 98s] | ~~~~~~ [ 98s] 707 | case 1: [ 98s] | ~~~~~~~ [ 98s] 708 | case 2: [ 98s] | ~~~~~~~ [ 98s] 709 | fw = 0.0; [ 98s] | ~~~~~~~~~ [ 98s] 710 | for (i = jz; i >= 0; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 711 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 712 | y[0] = (ih == 0) ? fw : -fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 713 | fw = fq[0] - fw; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 714 | for (i = 1; i <= jz; i++) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 715 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 716 | y[1] = (ih == 0) ? fw : -fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 717 | break; [ 98s] | ~~~~~~ [ 98s] 718 | case 3: /* painful */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 719 | for (i = jz; i > 0; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 720 | fw = fq[i - 1] + fq[i]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 721 | fq[i] += fq[i - 1] - fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 722 | fq[i - 1] = fw; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 723 | } [ 98s] | ~ [ 98s] 724 | for (i = jz; i > 1; i--) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 725 | fw = fq[i - 1] + fq[i]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 726 | fq[i] += fq[i - 1] - fw; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 727 | fq[i - 1] = fw; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 728 | } [ 98s] | ~ [ 98s] 729 | for (fw = 0.0, i = jz; i >= 2; i--) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 730 | fw += fq[i]; [ 98s] | ~~~~~~~~~~~~ [ 98s] 731 | if (ih == 0) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 732 | y[0] = fq[0]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 733 | y[1] = fq[1]; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 734 | y[2] = fw; [ 98s] | ~~~~~~~~~~ [ 98s] 735 | } else { [ 98s] | ~~~~~~~~ [ 98s] 736 | y[0] = -fq[0]; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 737 | y[1] = -fq[1]; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 738 | y[2] = -fw; [ 98s] | ~~~~~~~~~~~ [ 98s] 739 | } [ 98s] | ~ [ 98s] 740 | } [ 98s] | ~ [ 98s] 741 | return n & 7; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 742 | } [ 98s] | ~ [ 98s] 743 | [ 98s] | [ 98s] 744 | /* __kernel_sin( x, y, iy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 745 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 746 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 747 | * Input y is the tail of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 748 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 749 | * [ 98s] | ~ [ 98s] 750 | * Algorithm [ 98s] | ~~~~~~~~~~~ [ 98s] 751 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 752 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 753 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 754 | * [0,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 755 | * 3 13 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 756 | * sin(x) ~ x + S1*x + ... + S6*x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 757 | * where [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 758 | * [ 98s] | ~ [ 98s] 759 | * |sin(x) 2 4 6 8 10 12 | -58 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 760 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 761 | * | x | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 762 | * [ 98s] | ~ [ 98s] 763 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 764 | * ~ sin(x) + (1-x*x/2)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 765 | * For better accuracy, let [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 766 | * 3 2 2 2 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 767 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 768 | * then 3 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 769 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 770 | */ [ 98s] | ~~ [ 98s] 771 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 772 | { [ 98s] | ~ [ 98s] 773 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 774 | half [ 98s] | ~~~~ [ 98s] 775 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 776 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 777 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 778 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 779 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 780 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 781 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 782 | [ 98s] | [ 98s] 783 | double z, r, v; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 784 | int32_t ix; [ 98s] | ~~~~~~~~~~~ [ 98s] 785 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 786 | ix &= 0x7FFFFFFF; /* high word of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 787 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 788 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 789 | } /* generate inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 790 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 791 | v = z * x; [ 98s] | ~~~~~~~~~~ [ 98s] 792 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 793 | if (iy == 0) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 794 | return x + v * (S1 + z * r); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 795 | } else { [ 98s] | ~~~~~~~~ [ 98s] 796 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 797 | } [ 98s] | ~ [ 98s] 798 | } [ 98s] | ~ [ 98s] 799 | [ 98s] | [ 98s] 800 | /* __kernel_tan( x, y, k ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 801 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 802 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 803 | * Input y is the tail of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 804 | * Input k indicates whether tan (if k=1) or [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 805 | * -1/tan (if k= -1) is returned. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 806 | * [ 98s] | ~ [ 98s] 807 | * Algorithm [ 98s] | ~~~~~~~~~~~ [ 98s] 808 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 809 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 810 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 811 | * [0,0.67434] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 812 | * 3 27 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 813 | * tan(x) ~ x + T1*x + ... + T13*x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 814 | * where [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 815 | * [ 98s] | ~ [ 98s] 816 | * |tan(x) 2 4 26 | -59.2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 817 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 818 | * | x | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 819 | * [ 98s] | ~ [ 98s] 820 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 821 | * ~ tan(x) + (1+x*x)*y [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 822 | * Therefore, for better accuracy in computing tan(x+y), let [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 823 | * 3 2 2 2 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 824 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 825 | * then [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 826 | * 3 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 827 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 828 | * [ 98s] | ~ [ 98s] 829 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 830 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 831 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 832 | */ [ 98s] | ~~ [ 98s] 833 | double __kernel_tan(double x, double y, int iy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 834 | { [ 98s] | ~ [ 98s] 835 | constexpr double xxx[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 836 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 837 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 838 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 839 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 840 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 841 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 842 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 843 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 844 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 845 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 846 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 847 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 848 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 849 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 850 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 851 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 852 | }; [ 98s] | ~~ [ 98s] 853 | #define one xxx[13] [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 854 | #define pio4 xxx[14] [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 855 | #define pio4lo xxx[15] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 856 | #define T xxx [ 98s] | ~~~~~~~~~~~~~ [ 98s] 857 | [ 98s] | [ 98s] 858 | double z, r, v, w, s; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 859 | int32_t ix, hx; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 860 | [ 98s] | [ 98s] 861 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 862 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 863 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 864 | /* generate inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 865 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 866 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 867 | if (((ix | low) | (iy + 1)) == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 868 | return one / fabs(x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 869 | } else { [ 98s] | ~~~~~~~~ [ 98s] 870 | if (iy == 1) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 871 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 872 | } else { /* compute -1 / (x+y) carefully */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 873 | double a, t; [ 98s] | ~~~~~~~~~~~~ [ 98s] 874 | [ 98s] | [ 98s] 875 | z = w = x + y; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 876 | SET_LOW_WORD(z, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 877 | v = y - (z - x); [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 878 | t = a = -one / w; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 879 | SET_LOW_WORD(t, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 880 | s = one + t * z; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 881 | return t + a * (s + t * v); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 882 | } [ 98s] | ~ [ 98s] 883 | } [ 98s] | ~ [ 98s] 884 | } [ 98s] | ~ [ 98s] 885 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 886 | if (hx < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 887 | x = -x; [ 98s] | ~~~~~~~ [ 98s] 888 | y = -y; [ 98s] | ~~~~~~~ [ 98s] 889 | } [ 98s] | ~ [ 98s] 890 | z = pio4 - x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 891 | w = pio4lo - y; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 892 | x = z + w; [ 98s] | ~~~~~~~~~~ [ 98s] 893 | y = 0.0; [ 98s] | ~~~~~~~~ [ 98s] 894 | } [ 98s] | ~ [ 98s] 895 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 896 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 897 | /* [ 98s] | ~~ [ 98s] 898 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 899 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 900 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 901 | */ [ 98s] | ~~ [ 98s] 902 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 903 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 904 | s = z * x; [ 98s] | ~~~~~~~~~~ [ 98s] 905 | r = y + z * (s * (r + v) + y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 906 | r += T[0] * s; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 907 | w = x + r; [ 98s] | ~~~~~~~~~~ [ 98s] 908 | if (ix >= 0x3FE59428) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 909 | v = iy; [ 98s] | ~~~~~~~ [ 98s] 910 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 911 | } [ 98s] | ~ [ 98s] 912 | if (iy == 1) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 913 | return w; [ 98s] | ~~~~~~~~~ [ 98s] 914 | } else { [ 98s] | ~~~~~~~~ [ 98s] 915 | /* [ 98s] | ~~ [ 98s] 916 | * if allow error up to 2 ulp, simply return [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 917 | * -1.0 / (x+r) here [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 918 | */ [ 98s] | ~~ [ 98s] 919 | /* compute -1.0 / (x+r) accurately */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 920 | double a, t; [ 98s] | ~~~~~~~~~~~~ [ 98s] 921 | z = w; [ 98s] | ~~~~~~ [ 98s] 922 | SET_LOW_WORD(z, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 923 | v = r - (z - x); /* z+v = r+x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 924 | t = a = -1.0 / w; /* a = -1.0/w */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 925 | SET_LOW_WORD(t, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 926 | s = 1.0 + t * z; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 927 | return t + a * (s + t * v); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 928 | } [ 98s] | ~ [ 98s] 929 | [ 98s] | [ 98s] 930 | #undef one [ 98s] | ~~~~~~~~~~ [ 98s] 931 | #undef pio4 [ 98s] | ~~~~~~~~~~~ [ 98s] 932 | #undef pio4lo [ 98s] | ~~~~~~~~~~~~~ [ 98s] 933 | #undef T [ 98s] | ~~~~~~~~ [ 98s] 934 | } [ 98s] | ~ [ 98s] 935 | [ 98s] | [ 98s] 936 | } // namespace [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 937 | [ 98s] | [ 98s] 938 | /* acos(x) [ 98s] | ~~~~~~~~~~ [ 98s] 939 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 940 | * acos(x) = pi/2 - asin(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 941 | * acos(-x) = pi/2 + asin(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 942 | * For |x|<=0.5 [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 943 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 944 | * For x>0.5 [ 98s] | ~~~~~~~~~~~ [ 98s] 945 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 946 | * = 2asin(sqrt((1-x)/2)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 947 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 948 | * = 2f + (2c + 2s*z*R(z)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 949 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 950 | * for f so that f+c ~ sqrt(z). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 951 | * For x<-0.5 [ 98s] | ~~~~~~~~~~~~ [ 98s] 952 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 953 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 954 | * [ 98s] | ~ [ 98s] 955 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 956 | * if x is NaN, return x itself; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 957 | * if |x|>1, return NaN with invalid signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 958 | * [ 98s] | ~ [ 98s] 959 | * Function needed: sqrt [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 960 | */ [ 98s] | ~~ [ 98s] 961 | double acos(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 962 | { [ 98s] | ~ [ 98s] 963 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 964 | one [ 98s] | ~~~ [ 98s] 965 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 966 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 967 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 968 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 969 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 970 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 971 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 972 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 973 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 974 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 975 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 976 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 977 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 978 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 979 | [ 98s] | [ 98s] 980 | double z, p, q, r, w, s, c, df; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 981 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 982 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 983 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 984 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 985 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 986 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 987 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 988 | if (hx > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 989 | return 0.0; /* acos(1) = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 990 | else [ 98s] | ~~~~ [ 98s] 991 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 992 | } [ 98s] | ~ [ 98s] 993 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 994 | } [ 98s] | ~ [ 98s] 995 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 996 | if (ix <= 0x3C600000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 997 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 998 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 999 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1000 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1001 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1002 | return pio2_hi - (x - (pio2_lo - x * r)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1003 | } else if (hx < 0) { /* x < -0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1004 | z = (one + x) * 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1005 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1006 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1007 | s = sqrt(z); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1008 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1009 | w = r * s - pio2_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1010 | return pi - 2.0 * (s + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1011 | } else { /* x > 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1012 | z = (one - x) * 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1013 | s = sqrt(z); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1014 | df = s; [ 98s] | ~~~~~~~ [ 98s] 1015 | SET_LOW_WORD(df, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1016 | c = (z - df * df) / (s + df); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1017 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1018 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1019 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1020 | w = r * s + c; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1021 | return 2.0 * (df + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1022 | } [ 98s] | ~ [ 98s] 1023 | } [ 98s] | ~ [ 98s] 1024 | [ 98s] | [ 98s] 1025 | /* acosh(x) [ 98s] | ~~~~~~~~~~~ [ 98s] 1026 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1027 | * Based on [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1028 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1029 | * we have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1030 | * acosh(x) := log(x)+ln2, if x is large; else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1031 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1032 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1033 | * [ 98s] | ~ [ 98s] 1034 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1035 | * acosh(x) is NaN with signal if x<1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1036 | * acosh(NaN) is NaN without signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1037 | */ [ 98s] | ~~ [ 98s] 1038 | double acosh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1039 | { [ 98s] | ~ [ 98s] 1040 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1041 | one [ 98s] | ~~~ [ 98s] 1042 | = 1.0, [ 98s] | ~~~~~~ [ 98s] 1043 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1044 | double t; [ 98s] | ~~~~~~~~~ [ 98s] 1045 | int32_t hx; [ 98s] | ~~~~~~~~~~~ [ 98s] 1046 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1047 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1048 | if (hx < 0x3FF00000) { /* x < 1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1049 | return (x - x) / (x - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1050 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1051 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1052 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1053 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1054 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1055 | } [ 98s] | ~ [ 98s] 1056 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1057 | return 0.0; /* acosh(1) = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1058 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1059 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1060 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1061 | } else { /* 10.98 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1081 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1082 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1083 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1084 | * f = hi part of s; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1085 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1086 | * and [ 98s] | ~~~~~~~~~~ [ 98s] 1087 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1088 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1089 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1090 | * [ 98s] | ~ [ 98s] 1091 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1092 | * if x is NaN, return x itself; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1093 | * if |x|>1, return NaN with invalid signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1094 | */ [ 98s] | ~~ [ 98s] 1095 | double asin(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1096 | { [ 98s] | ~ [ 98s] 1097 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1098 | one [ 98s] | ~~~ [ 98s] 1099 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1100 | huge = 1.000e+300, [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1101 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1102 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1103 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1104 | /* coefficient for R(x^2) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1105 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1106 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1107 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1108 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1109 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1110 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1111 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1112 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1113 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1114 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1115 | [ 98s] | [ 98s] 1116 | double t, w, p, q, c, r, s; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1117 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1118 | [ 98s] | [ 98s] 1119 | t = 0; [ 98s] | ~~~~~~ [ 98s] 1120 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1121 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1122 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1123 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1124 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1125 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1126 | return x * pio2_hi + x * pio2_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1127 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1128 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1129 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1130 | return x; /* return x with inexact if x!=0*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1131 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1132 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1133 | } [ 98s] | ~ [ 98s] 1134 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1135 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1136 | w = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1137 | return x + x * w; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1138 | } [ 98s] | ~ [ 98s] 1139 | /* 1> |x|>= 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1140 | w = one - fabs(x); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1141 | t = w * 0.5; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1142 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1143 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1144 | s = sqrt(t); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1145 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1146 | w = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1147 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1148 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1149 | w = s; [ 98s] | ~~~~~~ [ 98s] 1150 | SET_LOW_WORD(w, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1151 | c = (t - w * w) / (s + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1152 | r = p / q; [ 98s] | ~~~~~~~~~~ [ 98s] 1153 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1154 | q = pio4_hi - 2.0 * w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1155 | t = pio4_hi - (p - q); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1156 | } [ 98s] | ~ [ 98s] 1157 | if (hx > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1158 | return t; [ 98s] | ~~~~~~~~~ [ 98s] 1159 | else [ 98s] | ~~~~ [ 98s] 1160 | return -t; [ 98s] | ~~~~~~~~~~ [ 98s] 1161 | } [ 98s] | ~ [ 98s] 1162 | /* asinh(x) [ 98s] | ~~~~~~~~~~~ [ 98s] 1163 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1164 | * Based on [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1165 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1166 | * we have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1167 | * asinh(x) := x if 1+x*x=1, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1168 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1169 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1170 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1171 | */ [ 98s] | ~~ [ 98s] 1172 | double asinh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1173 | { [ 98s] | ~ [ 98s] 1174 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1175 | one [ 98s] | ~~~ [ 98s] 1176 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1177 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1178 | huge = 1.00000000000000000000e+300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1179 | [ 98s] | [ 98s] 1180 | double t, w; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1181 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1182 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1183 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1184 | if (ix >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1185 | return x + x; /* x is inf or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1186 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1187 | return x; /* return x inexact except 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1188 | } [ 98s] | ~ [ 98s] 1189 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1190 | w = log(fabs(x)) + ln2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1191 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1192 | t = fabs(x); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1193 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1194 | } else { /* 2.0 > |x| > 2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1195 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1196 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1197 | } [ 98s] | ~ [ 98s] 1198 | if (hx > 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1199 | return w; [ 98s] | ~~~~~~~~~ [ 98s] 1200 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1201 | return -w; [ 98s] | ~~~~~~~~~~ [ 98s] 1202 | } [ 98s] | ~ [ 98s] 1203 | } [ 98s] | ~ [ 98s] 1204 | [ 98s] | [ 98s] 1205 | /* atan(x) [ 98s] | ~~~~~~~~~~ [ 98s] 1206 | * Method [ 98s] | ~~~~~~~~ [ 98s] 1207 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1208 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1209 | * is further reduced to one of the following intervals and the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1210 | * arctangent of t is evaluated by the corresponding formula: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1211 | * [ 98s] | ~ [ 98s] 1212 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1213 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1214 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1215 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1216 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1217 | * [ 98s] | ~ [ 98s] 1218 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1219 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1220 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1221 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1222 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1223 | */ [ 98s] | ~~ [ 98s] 1224 | double atan(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1225 | { [ 98s] | ~ [ 98s] 1226 | constexpr double atanhi[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1227 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1228 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1229 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1230 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1231 | }; [ 98s] | ~~ [ 98s] 1232 | [ 98s] | [ 98s] 1233 | constexpr double atanlo[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1234 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1235 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1236 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1237 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1238 | }; [ 98s] | ~~ [ 98s] 1239 | [ 98s] | [ 98s] 1240 | constexpr double aT[] = { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1241 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1242 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1243 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1244 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1245 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1246 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1247 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1248 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1249 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1250 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1251 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1252 | }; [ 98s] | ~~ [ 98s] 1253 | [ 98s] | [ 98s] 1254 | constexpr double one = 1.0, huge = 1.0e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1255 | [ 98s] | [ 98s] 1256 | double w, s1, s2, z; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1257 | int32_t ix, hx, id; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1258 | [ 98s] | [ 98s] 1259 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1260 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1261 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1262 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1263 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1264 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1265 | return x + x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1266 | if (hx > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1267 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1268 | else [ 98s] | ~~~~ [ 98s] 1269 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1270 | } [ 98s] | ~ [ 98s] 1271 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1272 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1273 | return x; /* raise inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1274 | } [ 98s] | ~ [ 98s] 1275 | id = -1; [ 98s] | ~~~~~~~~ [ 98s] 1276 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1277 | x = fabs(x); [ 98s] | ~~~~~~~~~~~~ [ 98s] 1278 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1279 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1280 | id = 0; [ 98s] | ~~~~~~~ [ 98s] 1281 | x = (2.0 * x - one) / (2.0 + x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1282 | } else { /* 11/16<=|x|< 19/16 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1283 | id = 1; [ 98s] | ~~~~~~~ [ 98s] 1284 | x = (x - one) / (x + one); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1285 | } [ 98s] | ~ [ 98s] 1286 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1287 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1288 | id = 2; [ 98s] | ~~~~~~~ [ 98s] 1289 | x = (x - 1.5) / (one + 1.5 * x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1290 | } else { /* 2.4375 <= |x| < 2^66 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1291 | id = 3; [ 98s] | ~~~~~~~ [ 98s] 1292 | x = -1.0 / x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1293 | } [ 98s] | ~ [ 98s] 1294 | } [ 98s] | ~ [ 98s] 1295 | } [ 98s] | ~ [ 98s] 1296 | /* end of argument reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1297 | z = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1298 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 1299 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1300 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1301 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1302 | if (id < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1303 | return x - x * (s1 + s2); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1304 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1305 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1306 | return (hx < 0) ? -z : z; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1307 | } [ 98s] | ~ [ 98s] 1308 | } [ 98s] | ~ [ 98s] 1309 | [ 98s] | [ 98s] 1310 | /* atan2(y,x) [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1311 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1312 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1313 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1314 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1315 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1316 | * [ 98s] | ~ [ 98s] 1317 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1318 | * [ 98s] | ~ [ 98s] 1319 | * ATAN2((anything), NaN ) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1320 | * ATAN2(NAN , (anything) ) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1321 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1322 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1323 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1324 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1325 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1326 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1327 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1328 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1329 | * [ 98s] | ~ [ 98s] 1330 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1331 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1332 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1333 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1334 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1335 | */ [ 98s] | ~~ [ 98s] 1336 | double atan2(double y, double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1337 | { [ 98s] | ~ [ 98s] 1338 | constexpr volatile double tiny = 1.0e-300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1339 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1340 | zero [ 98s] | ~~~~ [ 98s] 1341 | = 0.0, [ 98s] | ~~~~~~ [ 98s] 1342 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1343 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1344 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1345 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1346 | [ 98s] | [ 98s] 1347 | double z; [ 98s] | ~~~~~~~~~ [ 98s] 1348 | int32_t k, m, hx, hy, ix, iy; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1349 | uint32_t lx, ly; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1350 | [ 98s] | [ 98s] 1351 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1352 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1353 | EXTRACT_WORDS(hy, ly, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1354 | iy = hy & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1355 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1356 | return x + y; /* x or y is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1357 | } [ 98s] | ~ [ 98s] 1358 | if (((hx - 0x3FF00000) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1359 | return atan(y); /* x=1.0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1360 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1361 | [ 98s] | [ 98s] 1362 | /* when y = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1363 | if ((iy | ly) == 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1364 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1365 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1366 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1367 | return y; /* atan(+-0,+anything)=+-0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1368 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1369 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1370 | case 3: [ 98s] | ~~~~~~~ [ 98s] 1371 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1372 | } [ 98s] | ~ [ 98s] 1373 | } [ 98s] | ~ [ 98s] 1374 | /* when x = 0 */ [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1375 | if ((ix | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1376 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1377 | [ 98s] | [ 98s] 1378 | /* when x is INF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1379 | if (ix == 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1380 | if (iy == 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1381 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1382 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1383 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1384 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1385 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1386 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1387 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1388 | case 3: [ 98s] | ~~~~~~~ [ 98s] 1389 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1390 | } [ 98s] | ~ [ 98s] 1391 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1392 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1393 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1394 | return zero; /* atan(+...,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1395 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1396 | return -zero; /* atan(-...,+INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1397 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1398 | return pi + tiny; /* atan(+...,-INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1399 | case 3: [ 98s] | ~~~~~~~ [ 98s] 1400 | return -pi - tiny; /* atan(-...,-INF) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1401 | } [ 98s] | ~ [ 98s] 1402 | } [ 98s] | ~ [ 98s] 1403 | } [ 98s] | ~ [ 98s] 1404 | /* when y is INF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1405 | if (iy == 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1406 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1407 | [ 98s] | [ 98s] 1408 | /* compute y/x */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1409 | k = (iy - ix) >> 20; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1410 | if (k > 60) { /* |y/x| > 2**60 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1411 | z = pi_o_2 + 0.5 * pi_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1412 | m &= 1; [ 98s] | ~~~~~~~ [ 98s] 1413 | } else if (hx < 0 && k < -60) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1414 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1415 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1416 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1417 | } [ 98s] | ~ [ 98s] 1418 | switch (m) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1419 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1420 | return z; /* atan(+,+) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1421 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1422 | return -z; /* atan(-,+) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1423 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1424 | return pi - (z - pi_lo); /* atan(+,-) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1425 | default: /* case 3 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1426 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1427 | } [ 98s] | ~ [ 98s] 1428 | } [ 98s] | ~ [ 98s] 1429 | [ 98s] | [ 98s] 1430 | /* cos(x) [ 98s] | ~~~~~~~~~ [ 98s] 1431 | * Return cosine function of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1432 | * [ 98s] | ~ [ 98s] 1433 | * kernel function: [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1434 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1435 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1436 | * __ieee754_rem_pio2 ... argument reduction routine [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1437 | * [ 98s] | ~ [ 98s] 1438 | * Method. [ 98s] | ~~~~~~~~~ [ 98s] 1439 | * Let S,C and T denote the sin, cos and tan respectively on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1440 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1441 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1442 | * We have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1443 | * [ 98s] | ~ [ 98s] 1444 | * n sin(x) cos(x) tan(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1445 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1446 | * 0 S C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1447 | * 1 C -S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1448 | * 2 -S -C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1449 | * 3 -C S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1450 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1451 | * [ 98s] | ~ [ 98s] 1452 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1453 | * Let trig be any of sin, cos, or tan. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1454 | * trig(+-INF) is NaN, with signals; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1455 | * trig(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1456 | * [ 98s] | ~ [ 98s] 1457 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1458 | * TRIG(x) returns trig(x) nearly rounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1459 | */ [ 98s] | ~~ [ 98s] 1460 | double cos(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1461 | { [ 98s] | ~ [ 98s] 1462 | double y[2], z = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1463 | int32_t n, ix; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1464 | [ 98s] | [ 98s] 1465 | /* High word of x. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1466 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1467 | [ 98s] | [ 98s] 1468 | /* |x| ~< pi/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1469 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1470 | if (ix <= 0x3FE921FB) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1471 | return __kernel_cos(x, z); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1472 | } else if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1473 | /* cos(Inf or NaN) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1474 | return x - x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1475 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1476 | /* argument reduction needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1477 | n = __ieee754_rem_pio2(x, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1478 | switch (n & 3) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1479 | case 0: [ 98s] | ~~~~~~~ [ 98s] 1480 | return __kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1481 | case 1: [ 98s] | ~~~~~~~ [ 98s] 1482 | return -__kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1483 | case 2: [ 98s] | ~~~~~~~ [ 98s] 1484 | return -__kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1485 | default: [ 98s] | ~~~~~~~~ [ 98s] 1486 | return __kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1487 | } [ 98s] | ~ [ 98s] 1488 | } [ 98s] | ~ [ 98s] 1489 | } [ 98s] | ~ [ 98s] 1490 | [ 98s] | [ 98s] 1491 | /* exp(x) [ 98s] | ~~~~~~~~~ [ 98s] 1492 | * Returns the exponential of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1493 | * [ 98s] | ~ [ 98s] 1494 | * Method [ 98s] | ~~~~~~~~ [ 98s] 1495 | * 1. Argument reduction: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1496 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1497 | * Given x, find r and integer k such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1498 | * [ 98s] | ~ [ 98s] 1499 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1500 | * [ 98s] | ~ [ 98s] 1501 | * Here r will be represented as r = hi-lo for better [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1502 | * accuracy. [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1503 | * [ 98s] | ~ [ 98s] 1504 | * 2. Approximation of exp(r) by a special rational function on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1505 | * the interval [0,0.34658]: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1506 | * Write [ 98s] | ~~~~~~~~~~~~ [ 98s] 1507 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1508 | * We use a special Remes algorithm on [0,0.34658] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1509 | * a polynomial of degree 5 to approximate R. The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1510 | * of this polynomial approximation is bounded by 2**-59. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1511 | * other words, [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1512 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1513 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1514 | * and [ 98s] | ~~~~~~~~~~ [ 98s] 1515 | * | 5 | -59 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1516 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1517 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1518 | * The computation of exp(r) thus becomes [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1519 | * 2*r [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1520 | * exp(r) = 1 + ------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1521 | * R - r [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1522 | * r*R1(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1523 | * = 1 + r + ----------- (for better accuracy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1524 | * 2 - R1(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1525 | * where [ 98s] | ~~~~~~~~~~~~ [ 98s] 1526 | * 2 4 10 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1527 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1528 | * [ 98s] | ~ [ 98s] 1529 | * 3. Scale back to obtain exp(x): [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1530 | * From step 1, we have [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1531 | * exp(x) = 2^k * exp(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1532 | * [ 98s] | ~ [ 98s] 1533 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1534 | * exp(INF) is INF, exp(NaN) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1535 | * exp(-INF) is 0, and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1536 | * for finite argument, only exp(0)=1 is exact. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1537 | * [ 98s] | ~ [ 98s] 1538 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1539 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1540 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1541 | * [ 98s] | ~ [ 98s] 1542 | * Misc. info. [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1543 | * For IEEE double [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1544 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1545 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1546 | * [ 98s] | ~ [ 98s] 1547 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1548 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1549 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1550 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1551 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1552 | */ [ 98s] | ~~ [ 98s] 1553 | double exp(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1554 | { [ 98s] | ~ [ 98s] 1555 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1556 | one [ 98s] | ~~~ [ 98s] 1557 | = 1.0, [ 98s] | ~~~~~~ [ 98s] 1558 | halF[2] = { 0.5, -0.5 }, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1559 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1560 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1561 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1562 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1563 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1564 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1565 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1566 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1567 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1568 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1569 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1570 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1571 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1572 | [ 98s] | [ 98s] 1573 | constexpr volatile double [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1574 | huge [ 98s] | ~~~~ [ 98s] 1575 | = 1.0e+300, [ 98s] | ~~~~~~~~~~~ [ 98s] 1576 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1577 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1578 | [ 98s] | [ 98s] 1579 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1580 | int32_t k = 0, xsb; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1581 | uint32_t hx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1582 | [ 98s] | [ 98s] 1583 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1584 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1585 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1586 | [ 98s] | [ 98s] 1587 | /* filter out non-finite argument */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1588 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1589 | if (hx >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1590 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1591 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1592 | if (((hx & 0xFFFFF) | lx) != 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1593 | return x + x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1594 | else [ 98s] | ~~~~ [ 98s] 1595 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1596 | } [ 98s] | ~ [ 98s] 1597 | if (x > o_threshold) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1598 | return huge * huge; /* overflow */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1599 | if (x < u_threshold) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1600 | return twom1000 * twom1000; /* underflow */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1601 | } [ 98s] | ~ [ 98s] 1602 | [ 98s] | [ 98s] 1603 | /* argument reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1604 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1605 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1606 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1607 | * value of E, as the computation below would get the last bit [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1608 | * wrong. We should probably fix the algorithm instead. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1609 | */ [ 98s] | ~~ [ 98s] 1610 | if (x == 1.0) [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1611 | return E; [ 98s] | ~~~~~~~~~ [ 98s] 1612 | hi = x - ln2HI[xsb]; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1613 | lo = ln2LO[xsb]; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1614 | k = 1 - xsb - xsb; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1615 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1616 | k = static_cast(invln2 * x + halF[xsb]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1617 | t = k; [ 98s] | ~~~~~~ [ 98s] 1618 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1619 | lo = t * ln2LO[0]; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1620 | } [ 98s] | ~ [ 98s] 1621 | STRICT_ASSIGN(double, x, hi - lo); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1622 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1623 | if (huge + x > one) [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1624 | return one + x; /* trigger inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1625 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1626 | k = 0; [ 98s] | ~~~~~~ [ 98s] 1627 | } [ 98s] | ~ [ 98s] 1628 | [ 98s] | [ 98s] 1629 | /* x is now in primary range */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1630 | t = x * x; [ 98s] | ~~~~~~~~~~ [ 98s] 1631 | if (k >= -1021) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1632 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1633 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1634 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1635 | } [ 98s] | ~ [ 98s] 1636 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1637 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1638 | return one - ((x * c) / (c - 2.0) - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1639 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1640 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1641 | } [ 98s] | ~ [ 98s] 1642 | if (k >= -1021) { [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1643 | if (k == 1024) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1644 | return y * 2.0 * two1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1645 | return y * twopk; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1646 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1647 | return y * twopk * twom1000; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1648 | } [ 98s] | ~ [ 98s] 1649 | } [ 98s] | ~ [ 98s] 1650 | [ 98s] | [ 98s] 1651 | /* [ 98s] | ~~ [ 98s] 1652 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1653 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1654 | * 2.For x>=0.5 [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1655 | * 1 2x x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1656 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1657 | * 2 1 - x 1 - x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1658 | * [ 98s] | ~ [ 98s] 1659 | * For x<0.5 [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1660 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1661 | * [ 98s] | ~ [ 98s] 1662 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1663 | * atanh(x) is NaN if |x| > 1 with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1664 | * atanh(NaN) is that NaN with no signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1665 | * atanh(+-1) is +-INF with signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1666 | * [ 98s] | ~ [ 98s] 1667 | */ [ 98s] | ~~ [ 98s] 1668 | double atanh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1669 | { [ 98s] | ~ [ 98s] 1670 | constexpr double one = 1.0, huge = 1e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1671 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1672 | [ 98s] | [ 98s] 1673 | double t; [ 98s] | ~~~~~~~~~ [ 98s] 1674 | int32_t hx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1675 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1676 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1677 | ix = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1678 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1679 | return (x - x) / (x - x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1680 | if (ix == 0x3FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1681 | return x / zero; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1682 | if (ix < 0x3E300000 && (huge + x) > zero) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1683 | return x; /* x<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1684 | SET_HIGH_WORD(x, ix); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1685 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1686 | t = x + x; [ 98s] | ~~~~~~~~~~ [ 98s] 1687 | t = 0.5 * log1p(t + t * x / (one - x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1688 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1689 | t = 0.5 * log1p((x + x) / (one - x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1690 | } [ 98s] | ~ [ 98s] 1691 | if (hx >= 0) [ 98s] | ~~~~~~~~~~~~ [ 98s] 1692 | return t; [ 98s] | ~~~~~~~~~ [ 98s] 1693 | else [ 98s] | ~~~~ [ 98s] 1694 | return -t; [ 98s] | ~~~~~~~~~~ [ 98s] 1695 | } [ 98s] | ~ [ 98s] 1696 | [ 98s] | [ 98s] 1697 | /* log(x) [ 98s] | ~~~~~~~~~ [ 98s] 1698 | * Return the logrithm of x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1699 | * [ 98s] | ~ [ 98s] 1700 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1701 | * 1. Argument Reduction: find k and f such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1702 | * x = 2^k * (1+f), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1703 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1704 | * [ 98s] | ~ [ 98s] 1705 | * 2. Approximation of log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1706 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1707 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1708 | * = 2s + s*R [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1709 | * We use a special Reme algorithm on [0,0.1716] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1710 | * a polynomial of degree 14 to approximate R The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1711 | * of this polynomial approximation is bounded by 2**-58.45. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1712 | * other words, [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1713 | * 2 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1714 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1715 | * (the values of Lg1 to Lg7 are listed in the program) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1716 | * and [ 98s] | ~~~~~~ [ 98s] 1717 | * | 2 14 | -58.45 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1718 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1719 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1720 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1721 | * In order to guarantee error in log below 1ulp, we compute log [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1722 | * by [ 98s] | ~~~~~ [ 98s] 1723 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1724 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1725 | * [ 98s] | ~ [ 98s] 1726 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1727 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1728 | * Here ln2 is split into two floating point number: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1729 | * ln2_hi + ln2_lo, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1730 | * where n*ln2_hi is always exact for |n| < 2000. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1731 | * [ 98s] | ~ [ 98s] 1732 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1733 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1734 | * log(+INF) is +INF; log(0) is -INF with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1735 | * log(NaN) is that NaN with no signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1736 | * [ 98s] | ~ [ 98s] 1737 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1738 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1739 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1740 | * [ 98s] | ~ [ 98s] 1741 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1742 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1743 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1744 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1745 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1746 | */ [ 98s] | ~~ [ 98s] 1747 | double log(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1748 | { [ 98s] | ~ [ 98s] 1749 | constexpr double /* -- */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1750 | ln2_hi [ 98s] | ~~~~~~ [ 98s] 1751 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1752 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1753 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1754 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1755 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1756 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1757 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1758 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1759 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1760 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1761 | [ 98s] | [ 98s] 1762 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1763 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1764 | [ 98s] | [ 98s] 1765 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1766 | int32_t k, hx, i, j; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1767 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1768 | [ 98s] | [ 98s] 1769 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1770 | [ 98s] | [ 98s] 1771 | k = 0; [ 98s] | ~~~~~~ [ 98s] 1772 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1773 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1774 | return -two54 / vzero; /* log(+-0)=-inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1775 | if (hx < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1776 | return (x - x) / zero; /* log(-#) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1777 | k -= 54; [ 98s] | ~~~~~~~~ [ 98s] 1778 | x *= two54; /* subnormal number, scale up x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1779 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1780 | } [ 98s] | ~ [ 98s] 1781 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1782 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1783 | k += (hx >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1784 | hx &= 0x000FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1785 | i = (hx + 0x95F64) & 0x100000; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1786 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1787 | k += (i >> 20); [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1788 | f = x - 1.0; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1789 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1790 | if (f == zero) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1791 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1792 | return zero; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1793 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1794 | dk = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1795 | return dk * ln2_hi + dk * ln2_lo; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1796 | } [ 98s] | ~ [ 98s] 1797 | } [ 98s] | ~ [ 98s] 1798 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1799 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1800 | return f - R; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1801 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1802 | dk = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1803 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1804 | } [ 98s] | ~ [ 98s] 1805 | } [ 98s] | ~ [ 98s] 1806 | s = f / (2.0 + f); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1807 | dk = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1808 | z = s * s; [ 98s] | ~~~~~~~~~~ [ 98s] 1809 | i = hx - 0x6147A; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1810 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 1811 | j = 0x6B851 - hx; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1812 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1813 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1814 | i |= j; [ 98s] | ~~~~~~~ [ 98s] 1815 | R = t2 + t1; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1816 | if (i > 0) { [ 98s] | ~~~~~~~~~~~~ [ 98s] 1817 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1818 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1819 | return f - (hfsq - s * (hfsq + R)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1820 | else [ 98s] | ~~~~ [ 98s] 1821 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1822 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1823 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1824 | return f - s * (f - R); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1825 | else [ 98s] | ~~~~ [ 98s] 1826 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1827 | } [ 98s] | ~ [ 98s] 1828 | } [ 98s] | ~ [ 98s] 1829 | [ 98s] | [ 98s] 1830 | /* double log1p(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1831 | * [ 98s] | ~ [ 98s] 1832 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 1833 | * 1. Argument Reduction: find k and f such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1834 | * 1+x = 2^k * (1+f), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1835 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1836 | * [ 98s] | ~ [ 98s] 1837 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1838 | * may not be representable exactly. In that case, a correction [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1839 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1840 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1841 | * and add back the correction term c/u. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1842 | * (Note: when x > 2**53, one can simply return log(x)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1843 | * [ 98s] | ~ [ 98s] 1844 | * 2. Approximation of log1p(f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1845 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1846 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1847 | * = 2s + s*R [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 1848 | * We use a special Reme algorithm on [0,0.1716] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1849 | * a polynomial of degree 14 to approximate R The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1850 | * of this polynomial approximation is bounded by 2**-58.45. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1851 | * other words, [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 1852 | * 2 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1853 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1854 | * (the values of Lp1 to Lp7 are listed in the program) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1855 | * and [ 98s] | ~~~~~~ [ 98s] 1856 | * | 2 14 | -58.45 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1857 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1858 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1859 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1860 | * In order to guarantee error in log below 1ulp, we compute log [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1861 | * by [ 98s] | ~~~~~ [ 98s] 1862 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1863 | * [ 98s] | ~ [ 98s] 1864 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1865 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1866 | * Here ln2 is split into two floating point number: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1867 | * ln2_hi + ln2_lo, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1868 | * where n*ln2_hi is always exact for |n| < 2000. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1869 | * [ 98s] | ~ [ 98s] 1870 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1871 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1872 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1873 | * log1p(NaN) is that NaN with no signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1874 | * [ 98s] | ~ [ 98s] 1875 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 1876 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1877 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1878 | * [ 98s] | ~ [ 98s] 1879 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 1880 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1881 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1882 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1883 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1884 | * [ 98s] | ~ [ 98s] 1885 | * Note: Assuming log() return accurate answer, the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1886 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1887 | * [ 98s] | ~ [ 98s] 1888 | * u = 1+x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1889 | * if(u==1.0) return x ; else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1890 | * return log(u)*(x/(u-1.0)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1891 | * [ 98s] | ~ [ 98s] 1892 | * See HP-15C Advanced Functions Handbook, p.193. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1893 | */ [ 98s] | ~~ [ 98s] 1894 | double log1p(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1895 | { [ 98s] | ~ [ 98s] 1896 | constexpr double /* -- */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1897 | ln2_hi [ 98s] | ~~~~~~ [ 98s] 1898 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1899 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1900 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1901 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1902 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1903 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1904 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1905 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1906 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1907 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1908 | [ 98s] | [ 98s] 1909 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1910 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1911 | [ 98s] | [ 98s] 1912 | double hfsq, f, c, s, z, R, u; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1913 | int32_t k, hx, hu, ax; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1914 | [ 98s] | [ 98s] 1915 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1916 | ax = hx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1917 | [ 98s] | [ 98s] 1918 | c = 0; [ 98s] | ~~~~~~ [ 98s] 1919 | k = 1; [ 98s] | ~~~~~~ [ 98s] 1920 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1921 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1922 | if (x == -1.0) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 1923 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1924 | else [ 98s] | ~~~~ [ 98s] 1925 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1926 | } [ 98s] | ~ [ 98s] 1927 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1928 | if (two54 + x > zero /* raise inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1929 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1930 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 1931 | else [ 98s] | ~~~~ [ 98s] 1932 | return x - x * x * 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1933 | } [ 98s] | ~ [ 98s] 1934 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1935 | k = 0; [ 98s] | ~~~~~~ [ 98s] 1936 | f = x; [ 98s] | ~~~~~~ [ 98s] 1937 | hu = 1; [ 98s] | ~~~~~~~ [ 98s] 1938 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1939 | } [ 98s] | ~ [ 98s] 1940 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1941 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1942 | if (k != 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1943 | if (hx < 0x43400000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1944 | STRICT_ASSIGN(double, u, 1.0 + x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1945 | GET_HIGH_WORD(hu, u); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1946 | k = (hu >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1947 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1948 | c /= u; [ 98s] | ~~~~~~~ [ 98s] 1949 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1950 | u = x; [ 98s] | ~~~~~~ [ 98s] 1951 | GET_HIGH_WORD(hu, u); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1952 | k = (hu >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1953 | c = 0; [ 98s] | ~~~~~~ [ 98s] 1954 | } [ 98s] | ~ [ 98s] 1955 | hu &= 0x000FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 1956 | /* [ 98s] | ~~ [ 98s] 1957 | * The approximation to sqrt(2) used in thresholds is not [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1958 | * critical. However, the ones used above must give less [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1959 | * strict bounds than the one here so that the k==0 case is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1960 | * never reached from here, since here we have committed to [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1961 | * using the correction term but don't use it if k==0. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1962 | */ [ 98s] | ~~ [ 98s] 1963 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1964 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1965 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1966 | k += 1; [ 98s] | ~~~~~~~ [ 98s] 1967 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1968 | hu = (0x00100000 - hu) >> 2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1969 | } [ 98s] | ~ [ 98s] 1970 | f = u - 1.0; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1971 | } [ 98s] | ~ [ 98s] 1972 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 1973 | if (hu == 0) { /* |f| < 2**-20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1974 | if (f == zero) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1975 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1976 | return zero; [ 98s] | ~~~~~~~~~~~~ [ 98s] 1977 | } else { [ 98s] | ~~~~~~~~ [ 98s] 1978 | c += k * ln2_lo; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 1979 | return k * ln2_hi + c; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1980 | } [ 98s] | ~ [ 98s] 1981 | } [ 98s] | ~ [ 98s] 1982 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1983 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1984 | return f - R; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1985 | else [ 98s] | ~~~~ [ 98s] 1986 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1987 | } [ 98s] | ~ [ 98s] 1988 | s = f / (2.0 + f); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 1989 | z = s * s; [ 98s] | ~~~~~~~~~~ [ 98s] 1990 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1991 | if (k == 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 1992 | return f - (hfsq - s * (hfsq + R)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1993 | else [ 98s] | ~~~~ [ 98s] 1994 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 1995 | } [ 98s] | ~ [ 98s] 1996 | [ 98s] | [ 98s] 1997 | /* [ 98s] | ~~ [ 98s] 1998 | * k_log1p(f): [ 98s] | ~~~~~~~~~~~~~ [ 98s] 1999 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2000 | * [ 98s] | ~ [ 98s] 2001 | * The following describes the overall strategy for computing [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2002 | * logarithms in base e. The argument reduction and adding the final [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2003 | * term of the polynomial are done by the caller for increased accuracy [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2004 | * when different bases are used. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2005 | * [ 98s] | ~ [ 98s] 2006 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2007 | * 1. Argument Reduction: find k and f such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2008 | * x = 2^k * (1+f), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2009 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2010 | * [ 98s] | ~ [ 98s] 2011 | * 2. Approximation of log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2012 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2013 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2014 | * = 2s + s*R [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2015 | * We use a special Reme algorithm on [0,0.1716] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2016 | * a polynomial of degree 14 to approximate R The maximum error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2017 | * of this polynomial approximation is bounded by 2**-58.45. In [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2018 | * other words, [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2019 | * 2 4 6 8 10 12 14 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2020 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2021 | * (the values of Lg1 to Lg7 are listed in the program) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2022 | * and [ 98s] | ~~~~~~~~~~ [ 98s] 2023 | * | 2 14 | -58.45 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2024 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2025 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2026 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2027 | * In order to guarantee error in log below 1ulp, we compute log [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2028 | * by [ 98s] | ~~~~~~~~~ [ 98s] 2029 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2030 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2031 | * [ 98s] | ~ [ 98s] 2032 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2033 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2034 | * Here ln2 is split into two floating point number: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2035 | * ln2_hi + ln2_lo, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2036 | * where n*ln2_hi is always exact for |n| < 2000. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2037 | * [ 98s] | ~ [ 98s] 2038 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2039 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2040 | * log(+INF) is +INF; log(0) is -INF with signal; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2041 | * log(NaN) is that NaN with no signal. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2042 | * [ 98s] | ~ [ 98s] 2043 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2044 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2045 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2046 | * [ 98s] | ~ [ 98s] 2047 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 2048 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2049 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2050 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2051 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2052 | */ [ 98s] | ~~ [ 98s] 2053 | [ 98s] | [ 98s] 2054 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2055 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2056 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2057 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2058 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2059 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2060 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2061 | [ 98s] | [ 98s] 2062 | /* [ 98s] | ~~ [ 98s] 2063 | * We always inline k_log1p(), since doing so produces a [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2064 | * substantial performance improvement (~40% on amd64). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2065 | */ [ 98s] | ~~ [ 98s] 2066 | static inline double k_log1p(double f) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2067 | { [ 98s] | ~ [ 98s] 2068 | double hfsq, s, z, R, w, t1, t2; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2069 | [ 98s] | [ 98s] 2070 | s = f / (2.0 + f); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2071 | z = s * s; [ 98s] | ~~~~~~~~~~ [ 98s] 2072 | w = z * z; [ 98s] | ~~~~~~~~~~ [ 98s] 2073 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2074 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2075 | R = t2 + t1; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2076 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2077 | return s * (hfsq + R); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2078 | } [ 98s] | ~ [ 98s] 2079 | [ 98s] | [ 98s] 2080 | /* [ 98s] | ~~ [ 98s] 2081 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2082 | * comments. [ 98s] | ~~~~~~~~~~~ [ 98s] 2083 | * [ 98s] | ~ [ 98s] 2084 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2085 | * then does the combining and scaling steps [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2086 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2087 | * in not-quite-routine extra precision. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2088 | */ [ 98s] | ~~ [ 98s] 2089 | double log2(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2090 | { [ 98s] | ~ [ 98s] 2091 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2092 | two54 [ 98s] | ~~~~~ [ 98s] 2093 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2094 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2095 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2096 | [ 98s] | [ 98s] 2097 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2098 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2099 | [ 98s] | [ 98s] 2100 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2101 | int32_t i, k, hx; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2102 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2103 | [ 98s] | [ 98s] 2104 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2105 | [ 98s] | [ 98s] 2106 | k = 0; [ 98s] | ~~~~~~ [ 98s] 2107 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2108 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2109 | return -two54 / vzero; /* log(+-0)=-inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2110 | if (hx < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 2111 | return (x - x) / zero; /* log(-#) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2112 | k -= 54; [ 98s] | ~~~~~~~~ [ 98s] 2113 | x *= two54; /* subnormal number, scale up x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2114 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2115 | } [ 98s] | ~ [ 98s] 2116 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2117 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2118 | if (hx == 0x3FF00000 && lx == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2119 | return zero; /* log(1) = +0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2120 | k += (hx >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2121 | hx &= 0x000FFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2122 | i = (hx + 0x95F64) & 0x100000; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2123 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2124 | k += (i >> 20); [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2125 | y = static_cast(k); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2126 | f = x - 1.0; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2127 | hfsq = 0.5 * f * f; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2128 | r = k_log1p(f); [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2129 | [ 98s] | [ 98s] 2130 | /* [ 98s] | ~~ [ 98s] 2131 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2132 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2133 | * This is fairly efficient since f-hfsq only depends on f, so can [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2134 | * be evaluated in parallel with R. Not combining hfsq with R also [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2135 | * keeps R small (though not as small as a true `lo' term would be), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2136 | * so that extra precision is not needed for terms involving R. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2137 | * [ 98s] | ~ [ 98s] 2138 | * Compiler bugs involving extra precision used to break Dekker's [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2139 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2140 | * or the multi-precision calculations were avoided when double_t [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2141 | * has extra precision. These problems are now automatically [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2142 | * avoided as a side effect of the optimization of combining the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2143 | * Dekker splitting step with the clear-low-bits step. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2144 | * [ 98s] | ~ [ 98s] 2145 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2146 | * precision to avoid a very large cancellation when x is very near [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2147 | * these values. Unlike the above cancellations, this problem is [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2148 | * specific to base 2. It is strange that adding +-1 is so much [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2149 | * harder than adding +-ln2 or +-log10_2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2150 | * [ 98s] | ~ [ 98s] 2151 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2152 | * compiler bugs are back in some configurations, sigh. And I [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2153 | * don't want to used double_t to avoid them, since that gives a [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2154 | * pessimization and the support for avoiding the pessimization [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2155 | * is not yet available. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2156 | * [ 98s] | ~ [ 98s] 2157 | * The multi-precision calculations for the multiplications are [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2158 | * routine. [ 98s] | ~~~~~~~~~~ [ 98s] 2159 | */ [ 98s] | ~~ [ 98s] 2160 | hi = f - hfsq; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2161 | SET_LOW_WORD(hi, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2162 | lo = (f - hi) - hfsq + r; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2163 | val_hi = hi * ivln2hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2164 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2165 | [ 98s] | [ 98s] 2166 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2167 | w = y + val_hi; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2168 | val_lo += (y - w) + val_hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2169 | val_hi = w; [ 98s] | ~~~~~~~~~~~ [ 98s] 2170 | [ 98s] | [ 98s] 2171 | return val_lo + val_hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2172 | } [ 98s] | ~ [ 98s] 2173 | [ 98s] | [ 98s] 2174 | /* [ 98s] | ~~ [ 98s] 2175 | * Return the base 10 logarithm of x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2176 | * [ 98s] | ~ [ 98s] 2177 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2178 | * Let log10_2hi = leading 40 bits of log10(2) and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2179 | * log10_2lo = log10(2) - log10_2hi, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2180 | * ivln10 = 1/log(10) rounded. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2181 | * Then [ 98s] | ~~~~~~~~~~~ [ 98s] 2182 | * n = ilogb(x), [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2183 | * if(n<0) n = n+1; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2184 | * x = scalbn(x,-n); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2185 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2186 | * [ 98s] | ~ [ 98s] 2187 | * Note 1: [ 98s] | ~~~~~~~~~~ [ 98s] 2188 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2189 | * mode must set to Round-to-Nearest. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2190 | * Note 2: [ 98s] | ~~~~~~~~~~ [ 98s] 2191 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2192 | * log10 is monotonic at all binary break points. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2193 | * [ 98s] | ~ [ 98s] 2194 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2195 | * log10(x) is NaN if x < 0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2196 | * log10(+INF) is +INF; log10(0) is -INF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2197 | * log10(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2198 | * log10(10**N) = N for N=0,1,...,22. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2199 | */ [ 98s] | ~~ [ 98s] 2200 | double log10(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2201 | { [ 98s] | ~ [ 98s] 2202 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2203 | two54 [ 98s] | ~~~~~ [ 98s] 2204 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2205 | ivln10 = 4.34294481903251816668e-01, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2206 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2207 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2208 | [ 98s] | [ 98s] 2209 | constexpr double zero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2210 | constexpr volatile double vzero = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2211 | [ 98s] | [ 98s] 2212 | double y; [ 98s] | ~~~~~~~~~ [ 98s] 2213 | int32_t i, k, hx; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2214 | uint32_t lx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2215 | [ 98s] | [ 98s] 2216 | EXTRACT_WORDS(hx, lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2217 | [ 98s] | [ 98s] 2218 | k = 0; [ 98s] | ~~~~~~ [ 98s] 2219 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2220 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2221 | return -two54 / vzero; /* log(+-0)=-inf */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2222 | if (hx < 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 2223 | return (x - x) / zero; /* log(-#) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2224 | k -= 54; [ 98s] | ~~~~~~~~ [ 98s] 2225 | x *= two54; /* subnormal number, scale up x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2226 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2227 | GET_LOW_WORD(lx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2228 | } [ 98s] | ~ [ 98s] 2229 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2230 | return x + x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2231 | if (hx == 0x3FF00000 && lx == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2232 | return zero; /* log(1) = +0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2233 | k += (hx >> 20) - 1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2234 | [ 98s] | [ 98s] 2235 | i = (k & 0x80000000) >> 31; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2236 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2237 | y = k + i; [ 98s] | ~~~~~~~~~~ [ 98s] 2238 | SET_HIGH_WORD(x, hx); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2239 | SET_LOW_WORD(x, lx); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2240 | [ 98s] | [ 98s] 2241 | double z = y * log10_2lo + ivln10 * log(x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2242 | return z + y * log10_2hi; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2243 | } [ 98s] | ~ [ 98s] 2244 | [ 98s] | [ 98s] 2245 | /* expm1(x) [ 98s] | ~~~~~~~~~~~ [ 98s] 2246 | * Returns exp(x)-1, the exponential of x minus 1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2247 | * [ 98s] | ~ [ 98s] 2248 | * Method [ 98s] | ~~~~~~~~ [ 98s] 2249 | * 1. Argument reduction: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2250 | * Given x, find r and integer k such that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2251 | * [ 98s] | ~ [ 98s] 2252 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2253 | * [ 98s] | ~ [ 98s] 2254 | * Here a correction term c will be computed to compensate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2255 | * the error in r when rounded to a floating-point number. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2256 | * [ 98s] | ~ [ 98s] 2257 | * 2. Approximating expm1(r) by a special rational function on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2258 | * the interval [0,0.34658]: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2259 | * Since [ 98s] | ~~~~~~~~ [ 98s] 2260 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2261 | * we define R1(r*r) by [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2262 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2263 | * That is, [ 98s] | ~~~~~~~~~~~ [ 98s] 2264 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2265 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2266 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2267 | * We use a special Reme algorithm on [0,0.347] to generate [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2268 | * a polynomial of degree 5 in r*r to approximate R1. The [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2269 | * maximum error of this polynomial approximation is bounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2270 | * by 2**-61. In other words, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2271 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2272 | * where Q1 = -1.6666666666666567384E-2, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2273 | * Q2 = 3.9682539681370365873E-4, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2274 | * Q3 = -9.9206344733435987357E-6, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2275 | * Q4 = 2.5051361420808517002E-7, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2276 | * Q5 = -6.2843505682382617102E-9; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2277 | * z = r*r, [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2278 | * with error bounded by [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2279 | * | 5 | -61 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2280 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2281 | * | | [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2282 | * [ 98s] | ~ [ 98s] 2283 | * expm1(r) = exp(r)-1 is then computed by the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2284 | * specific way which minimize the accumulation rounding error: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2285 | * 2 3 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2286 | * r r [ 3 - (R1 + R1*r/2) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2287 | * expm1(r) = r + --- + --- * [--------------------] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2288 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2289 | * [ 98s] | ~ [ 98s] 2290 | * To compensate the error in the argument reduction, we use [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2291 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2292 | * ~ expm1(r) + c + r*c [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2293 | * Thus c+r*c will be added in as the correction terms for [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2294 | * expm1(r+c). Now rearrange the term to avoid optimization [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2295 | * screw up: [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2296 | * ( 2 2 ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2297 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2298 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2299 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2300 | * ( ) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2301 | * [ 98s] | ~ [ 98s] 2302 | * = r - E [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2303 | * 3. Scale back to obtain expm1(x): [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2304 | * From step 1, we have [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2305 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2306 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2307 | * 4. Implementation notes: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2308 | * (A). To save one multiplication, we scale the coefficient Qi [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2309 | * to Qi*2^i, and replace z by (x^2)/2. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2310 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2311 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2312 | * (ii) if k=0, return r-E [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2313 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2314 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2315 | * else return 1.0+2.0*(r-E); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2316 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2317 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2318 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2319 | * [ 98s] | ~ [ 98s] 2320 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2321 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2322 | * expm1(-INF) is -1, and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2323 | * for finite argument, only expm1(0)=0 is exact. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2324 | * [ 98s] | ~ [ 98s] 2325 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2326 | * according to an error analysis, the error is always less than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2327 | * 1 ulp (unit in the last place). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2328 | * [ 98s] | ~ [ 98s] 2329 | * Misc. info. [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2330 | * For IEEE double [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2331 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2332 | * [ 98s] | ~ [ 98s] 2333 | * Constants: [ 98s] | ~~~~~~~~~~~~ [ 98s] 2334 | * The hexadecimal values are the intended ones for the following [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2335 | * constants. The decimal values may be used, provided that the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2336 | * compiler will convert from decimal to binary accurately enough [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2337 | * to produce the hexadecimal values shown. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2338 | */ [ 98s] | ~~ [ 98s] 2339 | double expm1(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2340 | { [ 98s] | ~ [ 98s] 2341 | constexpr double [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2342 | one [ 98s] | ~~~ [ 98s] 2343 | = 1.0, [ 98s] | ~~~~~~ [ 98s] 2344 | tiny = 1.0e-300, [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2345 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2346 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2347 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2348 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2349 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2350 | x*x/2: */ [ 98s] | ~~~~~~~~~ [ 98s] 2351 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2352 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2353 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2354 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2355 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2356 | [ 98s] | [ 98s] 2357 | constexpr volatile double huge = 1.0e+300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2358 | [ 98s] | [ 98s] 2359 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2360 | int32_t k, xsb; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2361 | uint32_t hx; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2362 | [ 98s] | [ 98s] 2363 | GET_HIGH_WORD(hx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2364 | xsb = hx & 0x80000000; /* sign bit of x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2365 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2366 | [ 98s] | [ 98s] 2367 | /* filter out huge and non-finite argument */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2368 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2369 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2370 | if (hx >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2371 | uint32_t low; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2372 | GET_LOW_WORD(low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2373 | if (((hx & 0xFFFFF) | low) != 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2374 | return x + x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2375 | else [ 98s] | ~~~~ [ 98s] 2376 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2377 | } [ 98s] | ~ [ 98s] 2378 | if (x > o_threshold) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2379 | return huge * huge; /* overflow */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2380 | } [ 98s] | ~ [ 98s] 2381 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2382 | /* raise inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2383 | return tiny - one; /* return -1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2384 | } [ 98s] | ~ [ 98s] 2385 | } [ 98s] | ~ [ 98s] 2386 | [ 98s] | [ 98s] 2387 | /* argument reduction */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2388 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2389 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2390 | if (xsb == 0) { [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2391 | hi = x - ln2_hi; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2392 | lo = ln2_lo; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2393 | k = 1; [ 98s] | ~~~~~~ [ 98s] 2394 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2395 | hi = x + ln2_hi; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2396 | lo = -ln2_lo; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2397 | k = -1; [ 98s] | ~~~~~~~ [ 98s] 2398 | } [ 98s] | ~ [ 98s] 2399 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2400 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2401 | t = k; [ 98s] | ~~~~~~ [ 98s] 2402 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2403 | lo = t * ln2_lo; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2404 | } [ 98s] | ~ [ 98s] 2405 | STRICT_ASSIGN(double, x, hi - lo); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2406 | c = (hi - x) - lo; [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2407 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2408 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2409 | return x - (t - (huge + x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2410 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2411 | k = 0; [ 98s] | ~~~~~~ [ 98s] 2412 | } [ 98s] | ~ [ 98s] 2413 | [ 98s] | [ 98s] 2414 | /* x is now in primary range */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2415 | hfx = 0.5 * x; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2416 | hxs = x * hfx; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2417 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2418 | t = 3.0 - r1 * hfx; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2419 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2420 | if (k == 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2421 | return x - (x * e - hxs); /* c is 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2422 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2423 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2424 | e = (x * (e - c) - c); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2425 | e -= hxs; [ 98s] | ~~~~~~~~~ [ 98s] 2426 | if (k == -1) [ 98s] | ~~~~~~~~~~~~ [ 98s] 2427 | return 0.5 * (x - e) - 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2428 | if (k == 1) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2429 | if (x < -0.25) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2430 | return -2.0 * (e - (x + 0.5)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2431 | else [ 98s] | ~~~~ [ 98s] 2432 | return one + 2.0 * (x - e); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2433 | } [ 98s] | ~ [ 98s] 2434 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2435 | y = one - (e - x); [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2436 | // TODO(mvstanton): is this replacement for the hex float [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2437 | // sufficient? [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2438 | // if (k == 1024) y = y*2.0*0x1p1023; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2439 | if (k == 1024) [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2440 | y = y * 2.0 * 8.98846567431158e+307; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2441 | else [ 98s] | ~~~~ [ 98s] 2442 | y = y * twopk; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2443 | return y - one; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2444 | } [ 98s] | ~ [ 98s] 2445 | t = one; [ 98s] | ~~~~~~~~ [ 98s] 2446 | if (k < 20) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2447 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2448 | y = t - (e - x); [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2449 | y = y * twopk; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2450 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2451 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2452 | y = x - (e + t); [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2453 | y += one; [ 98s] | ~~~~~~~~~ [ 98s] 2454 | y = y * twopk; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2455 | } [ 98s] | ~ [ 98s] 2456 | } [ 98s] | ~ [ 98s] 2457 | return y; [ 98s] | ~~~~~~~~~ [ 98s] 2458 | } [ 98s] | ~ [ 98s] 2459 | [ 98s] | [ 98s] 2460 | double cbrt(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2461 | { [ 98s] | ~ [ 98s] 2462 | constexpr uint32_t [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2463 | B1 [ 98s] | ~~ [ 98s] 2464 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2465 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2466 | [ 98s] | [ 98s] 2467 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2468 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2469 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2470 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2471 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2472 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2473 | [ 98s] | [ 98s] 2474 | int32_t hx; [ 98s] | ~~~~~~~~~~~ [ 98s] 2475 | union { [ 98s] | ~~~~~~~ [ 98s] 2476 | double value; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2477 | uint64_t bits; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2478 | } u; [ 98s] | ~~~~ [ 98s] 2479 | double r, s, t = 0.0, w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2480 | uint32_t sign; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2481 | uint32_t high, low; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2482 | [ 98s] | [ 98s] 2483 | EXTRACT_WORDS(hx, low, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2484 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2485 | hx ^= sign; [ 98s] | ~~~~~~~~~~~ [ 98s] 2486 | if (hx >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2487 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2488 | [ 98s] | [ 98s] 2489 | /* [ 98s] | ~~ [ 98s] 2490 | * Rough cbrt to 5 bits: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2491 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2492 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2493 | * "%" are integer division and modulus with rounding towards minus [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2494 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2495 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2496 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2497 | * floating point representation, for finite positive normal values, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2498 | * ordinary integer division of the value in bits magically gives [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2499 | * almost exactly the RHS of the above provided we first subtract the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2500 | * exponent bias (1023 for doubles) and later add it back. We do the [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2501 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2502 | * division rounds towards minus infinity; this is also efficient. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2503 | */ [ 98s] | ~~ [ 98s] 2504 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2505 | if ((hx | low) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2506 | return (x); /* cbrt(0) is itself */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2507 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2508 | t *= x; [ 98s] | ~~~~~~~ [ 98s] 2509 | GET_HIGH_WORD(high, t); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2510 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2511 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2512 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2513 | } [ 98s] | ~ [ 98s] 2514 | [ 98s] | [ 98s] 2515 | /* [ 98s] | ~~ [ 98s] 2516 | * New cbrt to 23 bits: [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2517 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2518 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2519 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2520 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2521 | * gives us bounds for r = t**3/x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2522 | * [ 98s] | ~ [ 98s] 2523 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2524 | */ [ 98s] | ~~ [ 98s] 2525 | r = (t * t) * (t / x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2526 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2527 | [ 98s] | [ 98s] 2528 | /* [ 98s] | ~~ [ 98s] 2529 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2530 | * the result is larger in magnitude than cbrt(x) but not much more than [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2531 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2532 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2533 | * in the rounded t, the infinite-precision error in the Newton [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2534 | * approximation barely affects third digit in the final error [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2535 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2536 | * before the final error is larger than 0.667 ulps. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2537 | */ [ 98s] | ~~ [ 98s] 2538 | u.value = t; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2539 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2540 | t = u.value; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2541 | [ 98s] | [ 98s] 2542 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2543 | s = t * t; /* t*t is exact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2544 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2545 | w = t + t; /* t+t is exact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2546 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2547 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2548 | [ 98s] | [ 98s] 2549 | return (t); [ 98s] | ~~~~~~~~~~~ [ 98s] 2550 | } [ 98s] | ~ [ 98s] 2551 | [ 98s] | [ 98s] 2552 | /* sin(x) [ 98s] | ~~~~~~~~~ [ 98s] 2553 | * Return sine function of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2554 | * [ 98s] | ~ [ 98s] 2555 | * kernel function: [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2556 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2557 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2558 | * __ieee754_rem_pio2 ... argument reduction routine [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2559 | * [ 98s] | ~ [ 98s] 2560 | * Method. [ 98s] | ~~~~~~~~~ [ 98s] 2561 | * Let S,C and T denote the sin, cos and tan respectively on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2562 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2563 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2564 | * We have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2565 | * [ 98s] | ~ [ 98s] 2566 | * n sin(x) cos(x) tan(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2567 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2568 | * 0 S C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2569 | * 1 C -S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2570 | * 2 -S -C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2571 | * 3 -C S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2572 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2573 | * [ 98s] | ~ [ 98s] 2574 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2575 | * Let trig be any of sin, cos, or tan. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2576 | * trig(+-INF) is NaN, with signals; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2577 | * trig(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2578 | * [ 98s] | ~ [ 98s] 2579 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2580 | * TRIG(x) returns trig(x) nearly rounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2581 | */ [ 98s] | ~~ [ 98s] 2582 | double sin(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2583 | { [ 98s] | ~ [ 98s] 2584 | double y[2], z = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2585 | int32_t n, ix; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2586 | [ 98s] | [ 98s] 2587 | /* High word of x. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2588 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2589 | [ 98s] | [ 98s] 2590 | /* |x| ~< pi/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2591 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2592 | if (ix <= 0x3FE921FB) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2593 | return __kernel_sin(x, z, 0); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2594 | } else if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2595 | /* sin(Inf or NaN) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2596 | return x - x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2597 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2598 | /* argument reduction needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2599 | n = __ieee754_rem_pio2(x, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2600 | switch (n & 3) { [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2601 | case 0: [ 98s] | ~~~~~~~ [ 98s] 2602 | return __kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2603 | case 1: [ 98s] | ~~~~~~~ [ 98s] 2604 | return __kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2605 | case 2: [ 98s] | ~~~~~~~ [ 98s] 2606 | return -__kernel_sin(y[0], y[1], 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2607 | default: [ 98s] | ~~~~~~~~ [ 98s] 2608 | return -__kernel_cos(y[0], y[1]); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2609 | } [ 98s] | ~ [ 98s] 2610 | } [ 98s] | ~ [ 98s] 2611 | } [ 98s] | ~ [ 98s] 2612 | [ 98s] | [ 98s] 2613 | /* tan(x) [ 98s] | ~~~~~~~~~ [ 98s] 2614 | * Return tangent function of x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2615 | * [ 98s] | ~ [ 98s] 2616 | * kernel function: [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2617 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2618 | * __ieee754_rem_pio2 ... argument reduction routine [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2619 | * [ 98s] | ~ [ 98s] 2620 | * Method. [ 98s] | ~~~~~~~~~ [ 98s] 2621 | * Let S,C and T denote the sin, cos and tan respectively on [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2622 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2623 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2624 | * We have [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2625 | * [ 98s] | ~ [ 98s] 2626 | * n sin(x) cos(x) tan(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2627 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2628 | * 0 S C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2629 | * 1 C -S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2630 | * 2 -S -C T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2631 | * 3 -C S -1/T [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2632 | * ---------------------------------------------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2633 | * [ 98s] | ~ [ 98s] 2634 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2635 | * Let trig be any of sin, cos, or tan. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2636 | * trig(+-INF) is NaN, with signals; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2637 | * trig(NaN) is that NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2638 | * [ 98s] | ~ [ 98s] 2639 | * Accuracy: [ 98s] | ~~~~~~~~~~~ [ 98s] 2640 | * TRIG(x) returns trig(x) nearly rounded [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2641 | */ [ 98s] | ~~ [ 98s] 2642 | double tan(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2643 | { [ 98s] | ~ [ 98s] 2644 | double y[2], z = 0.0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2645 | int32_t n, ix; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2646 | [ 98s] | [ 98s] 2647 | /* High word of x. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2648 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2649 | [ 98s] | [ 98s] 2650 | /* |x| ~< pi/4 */ [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2651 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2652 | if (ix <= 0x3FE921FB) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2653 | return __kernel_tan(x, z, 1); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2654 | } else if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2655 | /* tan(Inf or NaN) is NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2656 | return x - x; /* NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2657 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2658 | /* argument reduction needed */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2659 | n = __ieee754_rem_pio2(x, y); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2660 | /* 1 -> n even, -1 -> n odd */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2661 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2662 | } [ 98s] | ~ [ 98s] 2663 | } [ 98s] | ~ [ 98s] 2664 | [ 98s] | [ 98s] 2665 | /* [ 98s] | ~~ [ 98s] 2666 | * ES6 draft 09-27-13, section 20.2.2.12. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2667 | * Math.cosh [ 98s] | ~~~~~~~~~~~ [ 98s] 2668 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2669 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2670 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2671 | * 2. [ 98s] | ~~~~~~~~~ [ 98s] 2672 | * [ exp(x) - 1 ]^2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2673 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2674 | * 2*exp(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2675 | * [ 98s] | ~ [ 98s] 2676 | * exp(x) + 1/exp(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2677 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2678 | * 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2679 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2680 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2681 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2682 | * [ 98s] | ~ [ 98s] 2683 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2684 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2685 | * only cosh(0)=1 is exact for finite x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2686 | */ [ 98s] | ~~ [ 98s] 2687 | double cosh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2688 | { [ 98s] | ~ [ 98s] 2689 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2690 | constexpr double one = 1.0, half = 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2691 | constexpr volatile double huge = 1.0e+300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2692 | [ 98s] | [ 98s] 2693 | int32_t ix; [ 98s] | ~~~~~~~~~~~ [ 98s] 2694 | [ 98s] | [ 98s] 2695 | /* High word of |x|. */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2696 | GET_HIGH_WORD(ix, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2697 | ix &= 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2698 | [ 98s] | [ 98s] 2699 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2700 | if (ix < 0x3FD62E43) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2701 | double t = expm1(fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2702 | double w = one + t; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2703 | // For |x| < 2^-55, cosh(x) = 1 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2704 | if (ix < 0x3C800000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2705 | return w; [ 98s] | ~~~~~~~~~ [ 98s] 2706 | return one + (t * t) / (w + w); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2707 | } [ 98s] | ~ [ 98s] 2708 | [ 98s] | [ 98s] 2709 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2710 | if (ix < 0x40360000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2711 | double t = exp(fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2712 | return half * t + half / t; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2713 | } [ 98s] | ~ [ 98s] 2714 | [ 98s] | [ 98s] 2715 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2716 | if (ix < 0x40862E42) [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2717 | return half * exp(fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2718 | [ 98s] | [ 98s] 2719 | // |x| in [log(maxdouble), overflowthreshold] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2720 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2721 | double w = exp(half * fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2722 | double t = half * w; [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2723 | return t * w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2724 | } [ 98s] | ~ [ 98s] 2725 | [ 98s] | [ 98s] 2726 | /* x is INF or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2727 | if (ix >= 0x7FF00000) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2728 | return x * x; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2729 | [ 98s] | [ 98s] 2730 | // |x| > overflowthreshold. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2731 | return huge * huge; [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2732 | } [ 98s] | ~ [ 98s] 2733 | [ 98s] | [ 98s] 2734 | /* [ 98s] | ~~ [ 98s] 2735 | * ES6 draft 09-27-13, section 20.2.2.30. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2736 | * Math.sinh [ 98s] | ~~~~~~~~~~~ [ 98s] 2737 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2738 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2739 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2740 | * 2. [ 98s] | ~~~~~~~~~ [ 98s] 2741 | * E + E/(E+1) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2742 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2743 | * 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2744 | * [ 98s] | ~ [ 98s] 2745 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2746 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2747 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2748 | * [ 98s] | ~ [ 98s] 2749 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2750 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2751 | * only sinh(0)=0 is exact for finite x. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2752 | */ [ 98s] | ~~ [ 98s] 2753 | double sinh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2754 | { [ 98s] | ~ [ 98s] 2755 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2756 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2757 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2758 | constexpr double shuge = 1.0e307; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2759 | [ 98s] | [ 98s] 2760 | double h = (x < 0) ? -0.5 : 0.5; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2761 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2762 | double ax = fabs(x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~ [ 98s] 2763 | if (ax < 22) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2764 | // For |x| < 2^-28, sinh(x) = x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2765 | if (ax < TWO_M28) [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2766 | return x; [ 98s] | ~~~~~~~~~ [ 98s] 2767 | double t = expm1(ax); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2768 | if (ax < 1) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2769 | return h * (2 * t - t * t / (t + 1)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2770 | } [ 98s] | ~ [ 98s] 2771 | return h * (t + t / (t + 1)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2772 | } [ 98s] | ~ [ 98s] 2773 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2774 | if (ax < LOG_MAXD) [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2775 | return h * exp(ax); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2776 | // |x| in [log(maxdouble), overflowthreshold] [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2777 | // overflowthreshold = 710.4758600739426 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2778 | if (ax <= KSINH_OVERFLOW) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2779 | double w = exp(0.5 * ax); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2780 | double t = h * w; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2781 | return t * w; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2782 | } [ 98s] | ~ [ 98s] 2783 | // |x| > overflowthreshold or is NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2784 | // Return Infinity of the appropriate sign or NaN. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2785 | return x * shuge; [ 98s] | ~~~~~~~~~~~~~~~~~ [ 98s] 2786 | } [ 98s] | ~ [ 98s] 2787 | [ 98s] | [ 98s] 2788 | /* Tanh(x) [ 98s] | ~~~~~~~~~~ [ 98s] 2789 | * Return the Hyperbolic Tangent of x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2790 | * [ 98s] | ~ [ 98s] 2791 | * Method : [ 98s] | ~~~~~~~~~~ [ 98s] 2792 | * x -x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2793 | * e - e [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2794 | * 0. tanh(x) is defined to be ----------- [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2795 | * x -x [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2796 | * e + e [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2797 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2798 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2799 | * -t [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2800 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2801 | * t + 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2802 | * 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2803 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2804 | * t + 2 [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2805 | * 22 <= x <= INF : tanh(x) := 1. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2806 | * [ 98s] | ~ [ 98s] 2807 | * Special cases: [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2808 | * tanh(NaN) is NaN; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2809 | * only tanh(0)=0 is exact for finite argument. [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2810 | */ [ 98s] | ~~ [ 98s] 2811 | double tanh(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2812 | { [ 98s] | ~ [ 98s] 2813 | constexpr volatile double tiny = 1.0e-300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2814 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2815 | double t, z; [ 98s] | ~~~~~~~~~~~~ [ 98s] 2816 | int32_t jx, ix; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2817 | [ 98s] | [ 98s] 2818 | GET_HIGH_WORD(jx, x); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2819 | ix = jx & 0x7FFFFFFF; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2820 | [ 98s] | [ 98s] 2821 | /* x is INF or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2822 | if (ix >= 0x7FF00000) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2823 | if (jx >= 0) [ 98s] | ~~~~~~~~~~~~ [ 98s] 2824 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2825 | else [ 98s] | ~~~~ [ 98s] 2826 | return one / x - one; /* tanh(NaN) = NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2827 | } [ 98s] | ~ [ 98s] 2828 | [ 98s] | [ 98s] 2829 | /* |x| < 22 */ [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2830 | if (ix < 0x40360000) { /* |x|<22 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2831 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2832 | return x; /* tanh(tiny) = tiny with inexact */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2833 | } [ 98s] | ~ [ 98s] 2834 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2835 | t = expm1(two * fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2836 | z = one - two / (t + two); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2837 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2838 | t = expm1(-two * fabs(x)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2839 | z = -t / (t + two); [ 98s] | ~~~~~~~~~~~~~~~~~~~ [ 98s] 2840 | } [ 98s] | ~ [ 98s] 2841 | /* |x| >= 22, return +-1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2842 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2843 | z = one - tiny; /* raise inexact flag */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2844 | } [ 98s] | ~ [ 98s] 2845 | return (jx >= 0) ? z : -z; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2846 | } [ 98s] | ~ [ 98s] 2847 | [ 98s] | [ 98s] 2848 | double ceil(double x) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2849 | { [ 98s] | ~ [ 98s] 2850 | constexpr double huge = 1.0e300; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2851 | int i0, i1, j0; [ 98s] | ~~~~~~~~~~~~~~~ [ 98s] 2852 | unsigned i, j; [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2853 | i0 = __HI(x); [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2854 | i1 = __LO(x); [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2855 | j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2856 | if (j0 < 20) { [ 98s] | ~~~~~~~~~~~~~~ [ 98s] 2857 | if (j0 < 0) { /* raise inexact if x != 0 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2858 | if (huge + x > 0.0) { /* return 0*sign(x) if |x|<1 */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2859 | if (i0 < 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2860 | i0 = 0x80000000; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2861 | i1 = 0; [ 98s] | ~~~~~~~ [ 98s] 2862 | } else if ((i0 | i1) != 0) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2863 | i0 = 0x3ff00000; [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2864 | i1 = 0; [ 98s] | ~~~~~~~ [ 98s] 2865 | } [ 98s] | ~ [ 98s] 2866 | } [ 98s] | ~ [ 98s] 2867 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2868 | i = (0x000fffff) >> j0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2869 | if (((i0 & i) | i1) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2870 | return x; /* x is integral */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2871 | if (huge + x > 0.0) { /* raise inexact flag */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2872 | if (i0 > 0) [ 98s] | ~~~~~~~~~~~ [ 98s] 2873 | i0 += (0x00100000) >> j0; [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2874 | i0 &= (~i); [ 98s] | ~~~~~~~~~~~ [ 98s] 2875 | i1 = 0; [ 98s] | ~~~~~~~ [ 98s] 2876 | } [ 98s] | ~ [ 98s] 2877 | } [ 98s] | ~ [ 98s] 2878 | } else if (j0 > 51) { [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2879 | if (j0 == 0x400) [ 98s] | ~~~~~~~~~~~~~~~~ [ 98s] 2880 | return x + x; /* inf or NaN */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2881 | else [ 98s] | ~~~~ [ 98s] 2882 | return x; /* x is integral */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2883 | } else { [ 98s] | ~~~~~~~~ [ 98s] 2884 | i = ((unsigned)(0xffffffff)) >> (j0 - 20); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2885 | if ((i1 & i) == 0) [ 98s] | ~~~~~~~~~~~~~~~~~~ [ 98s] 2886 | return x; /* x is integral */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2887 | if (huge + x > 0.0) { /* raise inexact flag */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2888 | if (i0 > 0) { [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2889 | if (j0 == 20) [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2890 | i0 += 1; [ 98s] | ~~~~~~~~ [ 98s] 2891 | else { [ 98s] | ~~~~~~ [ 98s] 2892 | j = i1 + (1 << (52 - j0)); [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2893 | if (j < (unsigned)i1) [ 98s] | ~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2894 | i0 += 1; /* got a carry */ [ 98s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 98s] 2895 | i1 = j; [ 98s] | ~~~~~~~ [ 98s] 2896 | } [ 98s] | ~ [ 98s] 2897 | } [ 98s] | ~ [ 98s] 2898 | i1 &= (~i); [ 98s] | ~~~~~~~~~~~ [ 98s] 2899 | } [ 98s] | ~ [ 98s] 2900 | } [ 98s] | ~ [ 98s] 2901 | __HI(x) = i0; [ 98s] | ~~~~~~~~~~~~~ [ 98s] 2902 | __LO(x) = i1; [ 98s] | ~~~~~~ [ 98s] third_party/escargot/src/runtime/IEEE754.cpp:2902:5: note: in expansion of macro '__LO' [ 98s] 2902 | __LO(x) = i1; [ 98s] | ^~~~ [ 98s] third_party/escargot/src/runtime/IEEE754.cpp: In function 'int Escargot::ieee754::{anonymous}::__kernel_rem_pio2(double*, double*, int, int, int, const int32_t*)': [ 98s] third_party/escargot/src/runtime/IEEE754.cpp:713:18: warning: 'fq[0]' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 98s] 713 | fw = fq[0] - fw; [ 98s] | ~~~~^ [ 98s] third_party/escargot/src/runtime/IEEE754.cpp:713:18: warning: 'fq[0]' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 98s] [147/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Job.cpp.o [ 99s] [148/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinMath.cpp.o [ 99s] [149/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IntlRelativeTimeFormat.cpp.o [ 99s] [150/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinArray.cpp.o [ 99s] [151/1138] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/api/EscargotPublic.cpp.o [ 99s] In file included from third_party/escargot/src/runtime/Object.h:23, [ 99s] from third_party/escargot/src/runtime/Value.h:287, [ 99s] from third_party/escargot/src/parser/ast/Node.h:24, [ 99s] from third_party/escargot/src/api/EscargotPublic.cpp:25: [ 99s] third_party/escargot/src/runtime/EncodedValue.h: In member function 'void Escargot::TemplateRef::set(const Escargot::TemplatePropertyNameRef&, Escargot::ValueRef*, bool, bool, bool)': [ 99s] third_party/escargot/src/runtime/EncodedValue.h:295:18: warning: '*((void*)(&)+4).Escargot::EncodedValue::m_data.Escargot::EncodedValueData::payload' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 99s] 295 | auto payload = m_data.payload; [ 99s] | ^~~~~~~ [ 99s] third_party/escargot/src/runtime/EncodedValue.h:295:18: warning: '*((void*)(&)+4).Escargot::EncodedValue::m_data.Escargot::EncodedValueData::payload' may be used uninitialized in this 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110s] -- Looking for fork [ 110s] -- Looking for fork - found [ 110s] -- Looking for getenv [ 110s] -- Looking for getenv - found [ 110s] -- Looking for malloc [ 110s] -- Looking for malloc - found [ 110s] -- Looking for memset [ 110s] -- Looking for memset - found [ 110s] -- Looking for realloc [ 110s] -- Looking for realloc - found [ 110s] -- Looking for socket [ 110s] -- Looking for socket - found [ 110s] -- Looking for strerror [ 110s] -- Looking for strerror - found [ 110s] -- Looking for vfork [ 110s] -- Looking for vfork - found [ 110s] -- Looking for execvpe [ 110s] -- Looking for execvpe - found [ 110s] -- Looking for getifaddrs [ 110s] -- Looking for getifaddrs - found [ 110s] -- Looking for snprintf [ 110s] -- Looking for snprintf - found [ 110s] -- Looking for _snprintf [ 110s] -- Looking for _snprintf - not found [ 110s] -- Looking for _vsnprintf [ 110s] -- Looking for _vsnprintf - not found [ 110s] -- Looking for getloadavg [ 110s] -- Looking for getloadavg - found [ 110s] -- Looking for atoll [ 110s] -- Looking for atoll - found [ 110s] -- Looking for _atoi64 [ 110s] -- Looking for _atoi64 - not found [ 110s] -- Looking for _stat32i64 [ 110s] -- Looking for _stat32i64 - not found [ 110s] -- Looking for clock_gettime [ 110s] -- Looking for clock_gettime - found [ 110s] -- Looking for dlfcn.h [ 110s] -- Looking for dlfcn.h - found [ 110s] -- Looking for fcntl.h [ 110s] -- Looking for fcntl.h - found [ 110s] -- Looking for in6addr.h [ 110s] -- Looking for in6addr.h - not found [ 110s] -- Looking for memory.h [ 110s] -- Looking for memory.h - found [ 110s] -- Looking for netinet/in.h [ 110s] -- Looking for netinet/in.h - found [ 110s] -- Looking for stdint.h [ 110s] -- Looking for stdint.h - found [ 110s] -- Looking for stdlib.h [ 110s] -- Looking for stdlib.h - found [ 110s] -- Looking for strings.h [ 110s] -- Looking for strings.h - found [ 110s] -- Looking for string.h [ 110s] -- Looking for string.h - found [ 110s] -- Looking for sys/prctl.h [ 110s] -- Looking for sys/prctl.h - found [ 110s] -- Looking for sys/socket.h [ 110s] -- Looking for sys/socket.h - found [ 110s] -- Looking for sys/sockio.h [ 110s] -- Looking for sys/sockio.h - not found [ 110s] -- Looking for sys/stat.h [ 110s] -- Looking for sys/stat.h - found [ 110s] -- Looking for sys/types.h [ 110s] -- Looking for sys/types.h - found [ 110s] -- Looking for unistd.h [ 110s] -- Looking for unistd.h - found [ 110s] -- Looking for vfork.h [ 110s] -- Looking for vfork.h - not found [ 110s] -- Looking for sys/capability.h [ 110s] -- Looking for sys/capability.h - not found [ 110s] -- Looking for malloc.h [ 110s] -- Looking for malloc.h - found [ 110s] -- Looking for pthread.h [ 110s] -- Looking for pthread.h - found [ 110s] -- Looking for inttypes.h [ 110s] -- Looking for inttypes.h - found [ 110s] -- Looking for cap_set_flag in cap [ 110s] -- Looking for cap_set_flag in cap - not found [ 110s] -- Looking for 4 include files stdlib.h, ..., float.h [ 110s] -- Looking 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found [ 110s] -- Looking for SSL_set_info_callback [ 110s] -- Looking for SSL_set_info_callback - found [ 110s] -- Looking for X509_VERIFY_PARAM_set1_host [ 110s] -- Looking for X509_VERIFY_PARAM_set1_host - found [ 110s] -- Looking for RSA_set0_key [ 110s] -- Looking for RSA_set0_key - found [ 110s] -- Looking for X509_get_key_usage [ 110s] -- Looking for X509_get_key_usage - found [ 110s] -- Looking for EVP_PKEY_new_raw_private_key [ 110s] -- Looking for EVP_PKEY_new_raw_private_key - found [ 110s] -- Looking for SSL_CTX_get0_certificate [ 110s] -- Looking for SSL_CTX_get0_certificate - found [ 110s] -- Looking for SSL_get0_alpn_selected [ 110s] -- Looking for SSL_get0_alpn_selected - found [ 110s] -- Looking for SSL_set_alpn_protos [ 110s] -- Looking for SSL_set_alpn_protos - found [ 110s] -- Looking for EVP_aes_128_cfb8 [ 110s] -- Looking for EVP_aes_128_cfb8 - found [ 110s] -- Looking for EVP_aes_128_cfb128 [ 110s] -- Looking for EVP_aes_128_cfb128 - found [ 110s] -- Looking for EVP_aes_192_cfb8 [ 110s] -- Looking for EVP_aes_192_cfb8 - found [ 110s] -- Looking for EVP_aes_192_cfb128 [ 110s] -- Looking for EVP_aes_192_cfb128 - found [ 110s] -- Looking for EVP_aes_256_cfb8 [ 110s] -- Looking for EVP_aes_256_cfb8 - found [ 110s] -- Looking for EVP_aes_256_cfb128 [ 110s] -- Looking for EVP_aes_256_cfb128 - found [ 110s] -- Looking for EVP_aes_128_xts [ 110s] -- Looking for EVP_aes_128_xts - found [ 110s] -- Looking for RSA_verify_pss_mgf1 [ 110s] -- Looking for RSA_verify_pss_mgf1 - not found [ 110s] -- Looking for HMAC_CTX_new [ 110s] -- Looking for HMAC_CTX_new - found [ 110s] -- Looking for SSL_CTX_set_ciphersuites [ 110s] -- Looking for SSL_CTX_set_ciphersuites - found [ 110s] -- Performing Test LWS_HAVE_SSL_EXTRA_CHAIN_CERTS [ 110s] -- Performing Test LWS_HAVE_SSL_EXTRA_CHAIN_CERTS - Success [ 110s] -- Performing Test LWS_HAVE_EVP_MD_CTX_free [ 110s] -- Performing Test LWS_HAVE_EVP_MD_CTX_free - Success [ 110s] -- Looking for ECDSA_SIG_set0 [ 110s] -- Looking for ECDSA_SIG_set0 - found [ 110s] -- Looking for BN_bn2binpad [ 110s] -- Looking for BN_bn2binpad - found [ 110s] -- Looking for EVP_aes_128_wrap [ 110s] -- Looking for EVP_aes_128_wrap - found [ 110s] -- Looking for EC_POINT_get_affine_coordinates [ 110s] -- Looking for EC_POINT_get_affine_coordinates - found [ 110s] -- Looking for TLS_client_method [ 110s] -- Looking for TLS_client_method - found [ 110s] -- Looking for TLSv1_2_client_method [ 110s] -- Looking for TLSv1_2_client_method - found [ 110s] -- Performing Test LWS_HAVE_PIPE2 [ 110s] -- Performing Test LWS_HAVE_PIPE2 - Success [ 110s] -- Performing Test LWS_HAVE_TCP_USER_TIMEOUT [ 110s] -- Performing Test LWS_HAVE_TCP_USER_TIMEOUT - Success [ 110s] Searching for OpenSSL executable and dlls [ 110s] OpenSSL executable: OPENSSL_EXECUTABLE-NOTFOUND [ 110s] GENCERTS = 1 [ 110s] Generating SSL Certificates for the test-server... [ 110s] CMake Warning at CMakeLists.txt:2116 (message): [ 110s] !!! Failed to generate SSL certificate for Test Server!!!: [ 110s] [ 110s] OpenSSL return code = No such file or directory [ 110s] [ 110s] [ 110s] CMake Warning (dev) at CMakeLists.txt:2296 (add_custom_command): [ 110s] Policy CMP0040 is not set: The target in the TARGET signature of [ 110s] add_custom_command() must exist. Run "cmake --help-policy CMP0040" for [ 110s] policy details. Use the cmake_policy command to set the policy and [ 110s] suppress this warning. [ 110s] [ 110s] No TARGET 'test-server' has been created in this directory. [ 110s] This warning is for project developers. Use -Wno-dev to suppress it. [ 110s] [ 110s] -- Looking for RPMTools... - found rpmuild is /bin/rpmbuild [ 110s] -- RPMTools:: Using RPM_ROOTDIR=/home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/third_party/libwebsockets/build/tizen/i686/release/RPM [ 110s] -- Simple copy spec file --> [ 110s] --------------------------------------------------------------------- [ 110s] Settings: (For more help do cmake -LH ) [ 110s] --------------------------------------------------------------------- [ 110s] LWS_WITH_STATIC = ON [ 110s] LWS_WITH_SHARED = OFF [ 110s] LWS_WITH_SSL = ON (SSL Support) [ 110s] LWS_SSL_CLIENT_USE_OS_CA_CERTS = 1 [ 110s] LWS_WITH_WOLFSSL = OFF (wolfSSL/CyaSSL replacement for OpenSSL) [ 110s] LWS_WITH_MBEDTLS = OFF (mbedTLS replacement for OpenSSL) [ 110s] LWS_WITHOUT_BUILTIN_SHA1 = OFF [ 110s] LWS_WITHOUT_BUILTIN_GETIFADDRS = OFF [ 110s] LWS_WITHOUT_CLIENT = OFF [ 110s] LWS_WITHOUT_SERVER = OFF [ 110s] LWS_LINK_TESTAPPS_DYNAMIC = OFF [ 110s] LWS_WITHOUT_TESTAPPS = OFF [ 110s] 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object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinEFL.cpp.o [ 194s] [1098/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinWindows.cpp.o [ 194s] [1099/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplCairo.cpp.o [ 194s] [1100/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinLibUV.cpp.o [ 195s] [1101/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebView.cpp.o [ 195s] [1102/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/MessageLoopLibUV.cpp.o [ 195s] [1103/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 195s] [1104/1138] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 195s] [1105/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPUtil.cpp.o [ 195s] [1106/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 195s] [1107/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPTransaction.cpp.o [ 195s] [1108/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 195s] [1109/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 195s] [1110/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 195s] [1111/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPResponse.cpp.o [ 195s] [1112/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/public/DeviceInfo.cpp.o [ 195s] [1113/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 195s] [1114/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ElementResourceClient.cpp.o [ 195s] [1115/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPHeaderMap.cpp.o [ 195s] [1116/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/FontResource.cpp.o [ 195s] [1117/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerLibUV.cpp.o [ 195s] [1118/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPRequest.cpp.o [ 195s] [1119/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 196s] [1120/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 196s] [1121/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/Resource.cpp.o [ 196s] [1122/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 196s] [1123/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 196s] [1124/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 196s] [1125/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 196s] [1126/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 196s] [1127/1138] Linking CXX static library out_tizen/unified_tv/release/lib/libescargot.a [ 196s] [1128/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 196s] [1129/1138] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 196s] [1130/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 196s] [1131/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 197s] [1132/1138] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 197s] [1133/1138] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 197s] [1134/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleDeclaration.cpp.o [ 197s] [1135/1138] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 198s] [1136/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 201s] [1137/1138] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 845s] [1138/1138] Linking CXX shared library out_tizen/unified_tv/release/lib/liblightweight-web-engine-dali-plugin.tv.so [ 845s] + rm -f CMakeCache.txt [ 845s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DUSE_EMBEDDED_IMAGE_DECODER=0 -DMODE=release -DHOST=tizen -DARCH=i686 -DCUSTOM=unified_tv -DBACKEND=efl_cairo_gl -DLTO=1 -DTARGETNAME=lightweight-web-engine.tv -G Ninja [ 845s] -- The C compiler identification is GNU 9.2.0 [ 845s] -- The CXX compiler identification is GNU 9.2.0 [ 845s] -- Check for working C compiler: /bin/cc [ 846s] -- Check for working C compiler: /bin/cc -- works [ 846s] -- Detecting C compiler ABI info [ 846s] -- Detecting C compiler ABI info - done [ 846s] -- Detecting C compile features [ 846s] -- Detecting C compile features - done [ 846s] -- Check for working CXX compiler: /bin/c++ [ 846s] -- Check for working CXX compiler: /bin/c++ -- works [ 846s] -- Detecting CXX compiler ABI info [ 846s] -- Detecting CXX compiler ABI info - done [ 846s] -- Detecting CXX compile features [ 846s] -- Detecting CXX compile features - done [ 846s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 846s] -- Checking for modules 'libpng;freetype2;fontconfig;harfbuzz;elementary;ecore;ecore-imf' [ 846s] -- Found libpng, version 1.6.37 [ 846s] -- Found freetype2, version 23.1.17 [ 846s] -- Found fontconfig, version 2.13.1 [ 846s] -- Found harfbuzz, version 2.6.4 [ 846s] -- Found elementary, version 1.25.0 [ 846s] -- Found ecore, version 1.25.0 [ 846s] -- Found ecore-imf, version 1.25.0 [ 847s] -- Checking for module 'ecore-imf-evas' [ 847s] -- Found ecore-imf-evas, version 1.25.0 [ 847s] -- Checking for module 'libtbm' [ 847s] -- Found libtbm, version 3.0.0 [ 847s] -- Checking for module 'cairo' [ 847s] -- Found cairo, version 1.14.2 [ 847s] -- Checking for modules 'capi-network-connection;capi-media-player;capi-media-audio-io' [ 847s] -- Found capi-network-connection, version [ 847s] -- Found capi-media-player, version [ 847s] -- Found capi-media-audio-io, version [ 847s] -- Looking for cap_set_flag in cap [ 847s] -- Looking for cap_set_flag in cap - not found [ 847s] -- Checking for module 'dlog' [ 847s] -- Found dlog, version 1.0 [ 847s] -- Starfish [ 847s] -- 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-feliminate-unused-debug-types--param=ssp-buffer-size=4-fdiagnostics-color=never-m32-march=i686-mtune=i686-msse4.2-mfpmath=sse-fasynchronous-unwind-tables-fno-omit-frame-pointer-mstackrealign-Wl,-z,noseparate-code-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_0 [ 847s] -- 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 [ 847s] -- 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 [ 847s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 847s] -- 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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/i686/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/i686/release/include [ 847s] -- Configuring done [ 847s] -- Generating done [ 847s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 847s] + ninja starfish.shared_library [ 848s] [1/878] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo LIBWEBSOCKETS\ TARGET [ 848s] LIBWEBSOCKETS TARGET [ 848s] [2/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 848s] [3/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/push/PushSubscription.cpp.o [ 848s] [4/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 848s] [5/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DBinding.cpp.o [ 851s] [6/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ArrayBufferViewOrArrayBufferBinding.cpp.o [ 851s] [7/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrBlobOrDOMStringBinding.cpp.o [ 851s] [8/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 852s] [9/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobCustomBinding.cpp.o [ 852s] [10/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobOrBufferSourceOrUSVStringOrReadableStreamBinding.cpp.o [ 852s] [11/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceOptionsBinding.cpp.o [ 852s] [12/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 852s] [13/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/Starfish.cpp.o [ 852s] [14/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSConditionRuleBinding.cpp.o [ 852s] [15/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventBinding.cpp.o [ 852s] [16/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 852s] [17/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 852s] [18/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSBinding.cpp.o [ 852s] [19/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSCounterStyleRuleBinding.cpp.o [ 853s] [20/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasImageSourceOrBlobOrImageDataBinding.cpp.o [ 853s] [21/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 853s] [22/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSImportRuleBinding.cpp.o [ 853s] [23/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioDestinationNodeBinding.cpp.o [ 853s] [24/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DOrWebGLRenderingContextOrImageBitmapRenderingContextBinding.cpp.o [ 853s] [25/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferBinding.cpp.o [ 853s] [26/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationBinding.cpp.o [ 853s] [27/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSMediaRuleBinding.cpp.o [ 853s] [28/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioNodeBinding.cpp.o [ 853s] [29/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BaseAudioContextBinding.cpp.o [ 853s] [30/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeywordValueBinding.cpp.o [ 853s] [31/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSFontFaceRuleBinding.cpp.o [ 854s] [32/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobBinding.cpp.o [ 854s] [33/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeyframeRuleBinding.cpp.o [ 854s] [34/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/StaticStrings.cpp.o [ 855s] [35/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CDATASectionBinding.cpp.o [ 855s] [36/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AttrBinding.cpp.o [ 855s] [37/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSGroupingRuleBinding.cpp.o [ 856s] [38/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextBinding.cpp.o [ 856s] [39/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericTypeBinding.cpp.o [ 856s] [40/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeyframesRuleBinding.cpp.o [ 856s] [41/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLTFootElementBinding.cpp.o [ 857s] [42/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNamespaceRuleBinding.cpp.o [ 857s] [43/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSRuleBinding.cpp.o [ 857s] [44/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericValueBinding.cpp.o [ 857s] [45/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSSupportsRuleBinding.cpp.o [ 857s] [46/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSUnitValueBinding.cpp.o [ 858s] [47/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CloseEventInitBinding.cpp.o [ 858s] [48/878] Building CXX object 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[ 953s] [538/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/extra/TimeRanges.cpp.o [ 953s] [539/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/fetch/ResponseData.cpp.o [ 953s] [540/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/dom/svg/SVGUseElement.cpp.o [ 953s] [541/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/fetch/Response.cpp.o [ 953s] [542/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/fetch/HeadersData.cpp.o [ 953s] [543/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/fetch/RequestData.cpp.o [ 953s] [544/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/dom/svg/SVGTextElement.cpp.o [ 953s] [545/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/layout/FrameReplacedCanvas.cpp.o [ 953s] [546/878] Building CXX object 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Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCError.cpp.o [ 972s] [628/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/IORunnable.cpp.o [ 972s] [629/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCStatsReport.cpp.o [ 972s] [630/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/Message.cpp.o [ 972s] [631/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediasource/SourceBufferList.cpp.o [ 972s] [632/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/ServiceWorkerAgent.cpp.o [ 972s] [633/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/ServiceWorker.cpp.o [ 972s] [634/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/networking/LWSRunnable.cpp.o [ 972s] [635/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/ServiceWorkerContainer.cpp.o [ 973s] [636/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCTrackEvent.cpp.o [ 973s] [637/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/message_loop/Timer.cpp.o [ 974s] [638/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/mediastream/RTCIceTransport.cpp.o [ 974s] [639/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/modules/serviceworker/ServiceWorkerRegistration.cpp.o [ 974s] [640/878] Generating third_party/webrtc/src/out/tizen/i686/release/libwebrtc.so [ 974s] BUILD WEBRTC [ 974s] WARNING at the command-line "--args":1:315: Build argument has no effect. [ 974s] target_cpu="x86" 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 [ 974s] ^---- [ 974s] The variable "build_with_chromium" was set as a build argument [ 974s] but never appeared in a declare_args() block in any buildfile. [ 974s] [ 974s] To view all possible args, run "gn args --list " [ 974s] [ 974s] The build continued as if that argument was unspecified. [ 974s] [ 974s] Done. Made 621 targets from 155 files in 480ms [ 974s] ninja: Entering directory `out/tizen/i686/release' [ 974s] [1/2033] STAMP obj/poison_audio_codecs.stamp [ 974s] [2/2033] STAMP obj/poison_software_video_codecs.stamp [ 974s] [3/2033] STAMP obj/api/transport/enums.stamp [ 974s] [4/2033] CXX obj/api/video/video_frame/hdr_metadata.o [ 974s] [5/2033] CXX obj/api/video/video_frame/video_content_type.o [ 974s] [6/2033] CC obj/modules/audio_coding/ilbc_c/cb_mem_energy_augmentation.o [ 974s] [7/2033] CC obj/modules/audio_coding/ilbc_c/cb_mem_energy.o [ 974s] [8/2033] CC obj/modules/audio_coding/ilbc_c/cb_construct.o [ 974s] [9/2033] STAMP obj/api/video/video_frame_type.stamp [ 974s] [10/2033] CC obj/base/third_party/libevent/libevent/log.o [ 974s] [11/2033] CXX obj/api/transport/field_trial_based_config/field_trial_based_config.o [ 974s] [12/2033] CXX obj/api/video/video_frame/video_source_interface.o [ 974s] [13/2033] CXX obj/api/units/timestamp/timestamp.o [ 974s] [14/2033] CXX obj/api/units/data_size/data_size.o [ 974s] [15/2033] CC obj/base/third_party/libevent/libevent/http.o [ 974s] [16/2033] CXX obj/api/units/data_rate/data_rate.o [ 974s] [17/2033] CXX obj/api/video/video_frame/color_space.o [ 974s] [18/2033] CXX obj/api/transport/media/video_interfaces/video_transport.o [ 974s] [19/2033] CXX obj/api/video_codecs/video_codecs_api/vp8_frame_config.o [ 974s] [20/2033] CXX obj/api/units/time_delta/time_delta.o [ 974s] [21/2033] CXX obj/modules/video_processing/video_processing/denoiser_filter.o [ 974s] [22/2033] CXX obj/call/rtp_receiver/rtp_rtcp_demuxer_helper.o [ 974s] [23/2033] CXX obj/audio/audio/remix_resample.o [ 974s] [24/2033] CXX obj/call/bitrate_configurator/rtp_bitrate_configurator.o [ 974s] ../../../../call/rtp_bitrate_configurator.cc: In member function 'absl::optional webrtc::RtpBitrateConfigurator::UpdateWithClientPreferences(const webrtc::BitrateSettings&)': [ 974s] ../../../../call/rtp_bitrate_configurator.cc:62:26: warning: implicitly-declared 'webrtc::BitrateSettings& webrtc::BitrateSettings::operator=(const webrtc::BitrateSettings&)' is deprecated [-Wdeprecated-copy] [ 974s] 62 | bitrate_config_mask_ = bitrate_mask; [ 974s] | ^~~~~~~~~~~~ [ 974s] In file included from ../../../../call/rtp_bitrate_configurator.h:16, [ 974s] from ../../../../call/rtp_bitrate_configurator.cc:11: [ 974s] ../../../../api/transport/bitrate_settings.h:27:3: note: because 'webrtc::BitrateSettings' has user-provided 'webrtc::BitrateSettings::BitrateSettings(const webrtc::BitrateSettings&)' [ 974s] 27 | BitrateSettings(const BitrateSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] [25/2033] CXX obj/modules/congestion_controller/goog_cc/estimators/bitrate_estimator.o [ 974s] [26/2033] STAMP obj/build/win/default_exe_manifest.stamp [ 974s] [27/2033] CXX obj/modules/audio_coding/ilbc/audio_decoder_ilbc.o [ 974s] [28/2033] CXX obj/modules/audio_coding/audio_network_adaptor/controller.o [ 974s] [29/2033] CXX obj/api/video/video_frame/video_timing.o [ 974s] [30/2033] CXX obj/modules/audio_coding/audio_network_adaptor/fec_controller_plr_based.o [ 974s] [31/2033] CXX obj/api/video/video_bitrate_allocation/video_bitrate_allocation.o [ 974s] [32/2033] STAMP obj/rtc_base/system/warn_current_thread_is_deadlocked.stamp [ 974s] [33/2033] CXX obj/modules/audio_coding/neteq/cross_correlation.o [ 974s] [34/2033] CXX obj/api/video_codecs/video_codecs_api/video_encoder_config.o [ 974s] [35/2033] CXX obj/modules/congestion_controller/goog_cc/alr_detector/alr_detector.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/alr_detector.cc:19: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [36/2033] CXX obj/api/video/encoded_image/encoded_image.o [ 974s] [37/2033] CXX obj/api/video_codecs/builtin_video_decoder_factory/builtin_video_decoder_factory.o [ 974s] [38/2033] CC obj/base/third_party/libevent/libevent/select.o [ 974s] [39/2033] CC obj/base/third_party/libevent/libevent/event_tagging.o [ 974s] [40/2033] CXX obj/api/video/video_frame_i010/i010_buffer.o [ 974s] [41/2033] CXX obj/api/video_codecs/video_codecs_api/vp8_temporal_layers.o [ 974s] [42/2033] CC obj/base/third_party/libevent/libevent/evrpc.o [ 974s] [43/2033] CXX obj/api/video/video_frame_i420/i420_buffer.o [ 974s] [44/2033] STAMP obj/api/callfactory_api.stamp [ 974s] [45/2033] CXX obj/media/rtc_encoder_simulcast_proxy/encoder_simulcast_proxy.o [ 974s] [46/2033] CXX obj/api/video/encoded_frame/encoded_frame.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../api/video/encoded_frame.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../api/video/encoded_frame.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/encoded_image.h:17, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../api/video/encoded_frame.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../api/video/encoded_frame.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [47/2033] CXX obj/modules/audio_coding/audio_network_adaptor/audio_network_adaptor_impl.o [ 974s] [48/2033] CXX obj/audio/audio/null_audio_poller.o [ 974s] [49/2033] CXX obj/api/video_codecs/video_codecs_api/video_codec.o [ 974s] [50/2033] STAMP obj/api/scoped_refptr.stamp [ 974s] [51/2033] CXX obj/modules/audio_processing/aecm/aecm_core/echo_control_mobile.o [ 974s] [52/2033] CXX obj/logging/rtc_event_bwe/rtc_event_bwe_update_delay_based.o [ 974s] [53/2033] CXX obj/pc/media_protocol_names/media_protocol_names.o [ 974s] [54/2033] CXX obj/modules/audio_coding/neteq/buffer_level_filter.o [ 974s] [55/2033] CXX obj/modules/audio_processing/agc2/noise_level_estimator/down_sampler.o [ 974s] [56/2033] CXX obj/modules/audio_coding/neteq/dsp_helper.o [ 974s] [57/2033] CXX obj/audio/audio/transport_feedback_packet_loss_tracker.o [ 974s] [58/2033] CXX obj/audio/audio/audio_level.o [ 974s] [59/2033] CC obj/modules/audio_processing/audio_processing_c/ns_core.o [ 974s] [60/2033] STAMP obj/api/call_api.stamp [ 974s] [61/2033] CXX obj/logging/rtc_event_video/rtc_event_video_send_stream_config.o [ 974s] [62/2033] CXX obj/modules/audio_coding/neteq/background_noise.o [ 974s] [63/2033] CXX obj/api/video_codecs/builtin_video_encoder_factory/builtin_video_encoder_factory.o [ 974s] [64/2033] CC obj/base/third_party/libevent/libevent/evutil.o [ 974s] [65/2033] CXX obj/api/libjingle_peerconnection_api/sctp_transport_interface.o [ 974s] [66/2033] CXX obj/modules/audio_coding/audio_network_adaptor/event_log_writer.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/audio_coding/audio_network_adaptor/event_log_writer.cc:20: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [67/2033] CXX obj/api/video_codecs/video_codecs_api/video_encoder.o [ 974s] [68/2033] CXX obj/modules/audio_coding/audio_coding/call_statistics.o [ 974s] [69/2033] CXX obj/api/libjingle_peerconnection_api/candidate.o [ 974s] [70/2033] STAMP obj/api/audio/echo_control.stamp [ 974s] [71/2033] CXX obj/api/audio/audio_frame_api/audio_frame.o [ 974s] [72/2033] CXX obj/api/audio_codecs/opus/audio_encoder_opus_config/audio_encoder_opus_config.o [ 974s] ../../../../api/audio_codecs/opus/audio_encoder_opus_config.cc: In member function 'bool webrtc::AudioEncoderOpusConfig::IsOk() const': [ 974s] ../../../../api/audio_codecs/opus/audio_encoder_opus_config.cc:64:20: warning: comparison of unsigned expression < 0 is always false [-Wtype-limits] [ 974s] 64 | if (num_channels < 0 || num_channels >= 255) { [ 974s] | ~~~~~~~~~~~~~^~~ [ 974s] [73/2033] CXX obj/api/audio_codecs/ilbc/audio_encoder_ilbc/audio_encoder_ilbc.o [ 974s] [74/2033] CXX obj/api/audio_codecs/builtin_audio_decoder_factory/builtin_audio_decoder_factory.o [ 974s] [75/2033] CXX obj/api/video/builtin_video_bitrate_allocator_factory/builtin_video_bitrate_allocator_factory.o [ 974s] [76/2033] CXX obj/api/audio_codecs/L16/audio_encoder_L16/audio_encoder_L16.o [ 974s] [77/2033] CXX obj/api/audio_codecs/opus/audio_decoder_multiopus/audio_decoder_multi_channel_opus.o [ 974s] [78/2033] CXX obj/api/video_codecs/vp8_temporal_layers_factory/vp8_temporal_layers_factory.o [ 974s] [79/2033] CXX obj/api/audio_codecs/L16/audio_decoder_L16/audio_decoder_L16.o [ 974s] [80/2033] STAMP obj/api/audio_codecs/g722/audio_encoder_g722_config.stamp [ 974s] [81/2033] CXX obj/modules/audio_coding/audio_coding_opus_common/audio_coder_opus_common.o [ 974s] [82/2033] CXX obj/api/audio/aec3_config/echo_canceller3_config.o [ 974s] [83/2033] CXX obj/api/libjingle_peerconnection_api/data_channel_interface.o [ 974s] [84/2033] CXX obj/api/video_codecs/video_codecs_api/sdp_video_format.o [ 974s] [85/2033] CXX obj/api/libjingle_peerconnection_api/rtp_transceiver_interface.o [ 974s] [86/2033] CXX obj/api/libjingle_peerconnection_api/media_transport_interface.o [ 974s] [87/2033] CXX obj/api/libjingle_peerconnection_api/dtls_transport_interface.o [ 974s] [88/2033] STAMP obj/api/audio_codecs/opus/audio_decoder_opus_config.stamp [ 974s] [89/2033] CXX obj/api/libjingle_peerconnection_api/rtc_error.o [ 974s] [90/2033] STAMP obj/modules/audio_processing/agc/gain_map.stamp [ 974s] [91/2033] CXX obj/modules/audio_processing/agc2/level_estimation_agc/adaptive_mode_level_estimator_agc.o [ 974s] [92/2033] CXX obj/api/libjingle_peerconnection_api/stats_types.o [ 974s] [93/2033] CXX obj/api/audio/aec3_factory/echo_canceller3_factory.o [ 974s] [94/2033] CXX obj/api/libjingle_peerconnection_api/rtp_receiver_interface.o [ 974s] [95/2033] CXX obj/media/rtc_internal_video_codecs/internal_encoder_factory.o [ 974s] [96/2033] CXX obj/api/rtp_headers/rtp_headers.o [ 974s] [97/2033] CXX obj/api/video_codecs/rtc_software_fallback_wrappers/video_decoder_software_fallback_wrapper.o [ 974s] ../../../../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)': [ 974s] ../../../../api/video_codecs/video_decoder_software_fallback_wrapper.cc:168:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 974s] 168 | RTC_FALLTHROUGH(); [ 974s] | ^ [ 974s] ../../../../api/video_codecs/video_decoder_software_fallback_wrapper.cc:170:5: note: here [ 974s] 170 | case DecoderType::kFallback: [ 974s] | ^~~~ [ 974s] [98/2033] CC obj/modules/audio_coding/webrtc_opus_c/opus_interface.o [ 974s] [99/2033] STAMP obj/api/network_state_predictor_api.stamp [ 974s] [100/2033] CXX obj/api/audio_codecs/g711/audio_decoder_g711/audio_decoder_g711.o [ 974s] [101/2033] CXX obj/api/libjingle_peerconnection_api/media_types.o [ 974s] [102/2033] CXX obj/api/video_codecs/video_codecs_api/video_decoder.o [ 974s] [103/2033] CXX obj/api/transport/bitrate_settings/bitrate_settings.o [ 974s] [104/2033] CXX obj/api/libjingle_peerconnection_api/proxy.o [ 974s] [105/2033] CXX obj/api/task_queue/default_task_queue_factory/default_task_queue_factory_libevent.o [ 974s] [106/2033] CXX obj/modules/audio_processing/aec_dump/null_aec_dump_factory/null_aec_dump_factory.o [ 974s] [107/2033] STAMP obj/api/video/video_codec_constants.stamp [ 974s] [108/2033] CXX obj/api/rtc_event_log/rtc_event_log/rtc_event_log.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [109/2033] CXX obj/api/rtc_event_log/rtc_event_log_factory/rtc_event_log_factory.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory.h:16, [ 974s] from ../../../../api/rtc_event_log/rtc_event_log_factory.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [110/2033] CXX obj/api/task_queue/task_queue/task_queue_base.o [ 974s] [111/2033] CXX obj/modules/audio_coding/audio_coding/audio_coding_module.o [ 974s] [112/2033] CXX obj/modules/audio_coding/webrtc_cng/webrtc_cng.o [ 974s] [113/2033] CXX obj/api/task_queue/global_task_queue_factory/global_task_queue_factory.o [ 974s] [114/2033] STAMP obj/api/audio_codecs/ilbc/audio_encoder_ilbc_config.stamp [ 974s] [115/2033] CXX obj/api/audio_codecs/opus/audio_encoder_opus/audio_encoder_opus.o [ 974s] [116/2033] CXX obj/api/audio_codecs/g722/audio_decoder_g722/audio_decoder_g722.o [ 974s] [117/2033] CXX obj/api/audio_codecs/g722/audio_encoder_g722/audio_encoder_g722.o [ 974s] [118/2033] CXX obj/api/transport/media/audio_interfaces/audio_transport.o [ 974s] [119/2033] CXX obj/audio/audio/channel_receive.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../audio/channel_receive.cc:25: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [120/2033] CXX obj/audio/audio/audio_transport_impl.o [ 974s] [121/2033] CXX obj/call/video_stream_api/video_send_stream.o [ 974s] In file included from ../../../../call/video_send_stream.cc:11: [ 974s] ../../../../call/video_send_stream.h: In member function 'webrtc::VideoSendStream::Config& webrtc::VideoSendStream::Config::operator=(webrtc::VideoSendStream::Config&&)': [ 974s] ../../../../call/video_send_stream.h:112:10: warning: implicitly-declared 'webrtc::RtpConfig& webrtc::RtpConfig::operator=(const webrtc::RtpConfig&)' is deprecated [-Wdeprecated-copy] [ 974s] 112 | struct Config { [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../call/video_send_stream.h:30, [ 974s] from ../../../../call/video_send_stream.cc:11: [ 974s] ../../../../call/rtp_config.h:71:3: note: because 'webrtc::RtpConfig' has user-provided 'webrtc::RtpConfig::RtpConfig(const webrtc::RtpConfig&)' [ 974s] 71 | RtpConfig(const RtpConfig&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../call/rtp_config.h: In member function 'webrtc::RtpConfig& webrtc::RtpConfig::operator=(const webrtc::RtpConfig&)': [ 974s] ../../../../call/rtp_config.h:69:8: warning: implicitly-declared 'webrtc::RtpConfig::Flexfec& webrtc::RtpConfig::Flexfec::operator=(const webrtc::RtpConfig::Flexfec&)' is deprecated [-Wdeprecated-copy] [ 974s] 69 | struct RtpConfig { [ 974s] | ^~~~~~~~~ [ 974s] ../../../../call/rtp_config.h:126:5: note: because 'webrtc::RtpConfig::Flexfec' has user-provided 'webrtc::RtpConfig::Flexfec::Flexfec(const webrtc::RtpConfig::Flexfec&)' [ 974s] 126 | Flexfec(const Flexfec&); [ 974s] | ^~~~~~~ [ 974s] ../../../../call/rtp_config.h:69:8: warning: implicitly-declared 'webrtc::RtpConfig::Rtx& webrtc::RtpConfig::Rtx::operator=(const webrtc::RtpConfig::Rtx&)' is deprecated [-Wdeprecated-copy] [ 974s] 69 | struct RtpConfig { [ 974s] | ^~~~~~~~~ [ 974s] ../../../../call/rtp_config.h:147:5: note: because 'webrtc::RtpConfig::Rtx' has user-provided 'webrtc::RtpConfig::Rtx::Rtx(const webrtc::RtpConfig::Rtx&)' [ 974s] 147 | Rtx(const Rtx&); [ 974s] | ^~~ [ 974s] In file included from ../../../../call/video_send_stream.cc:11: [ 974s] ../../../../call/video_send_stream.h: In member function 'webrtc::VideoSendStream::Config& webrtc::VideoSendStream::Config::operator=(webrtc::VideoSendStream::Config&&)': [ 974s] ../../../../call/video_send_stream.h:112:10: note: synthesized method 'webrtc::RtpConfig& webrtc::RtpConfig::operator=(const webrtc::RtpConfig&)' first required here [ 974s] 112 | struct Config { [ 974s] | ^~~~~~ [ 974s] ../../../../call/video_send_stream.h:112:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] In file included from ../../../../call/video_send_stream.h:21, [ 974s] from ../../../../call/video_send_stream.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../call/video_send_stream.cc: At global scope: [ 974s] ../../../../call/video_send_stream.cc:84:73: note: synthesized method 'webrtc::VideoSendStream::Config& webrtc::VideoSendStream::Config::operator=(webrtc::VideoSendStream::Config&&)' first required here [ 974s] 84 | VideoSendStream::Config& VideoSendStream::Config::operator=(Config&&) = default; [ 974s] | ^~~~~~~ [ 974s] [122/2033] STAMP obj/api/libjingle_logging_api.stamp [ 974s] [123/2033] CXX obj/api/audio_codecs/opus/audio_encoder_opus_config/audio_encoder_multi_channel_opus_config.o [ 974s] ../../../../api/audio_codecs/opus/audio_encoder_multi_channel_opus_config.cc: In member function 'bool webrtc::AudioEncoderMultiChannelOpusConfig::IsOk() const': [ 974s] ../../../../api/audio_codecs/opus/audio_encoder_multi_channel_opus_config.cc:41:20: warning: comparison of unsigned expression < 0 is always false [-Wtype-limits] [ 974s] 41 | if (num_channels < 0 || num_channels >= 255) { [ 974s] | ~~~~~~~~~~~~~^~~ [ 974s] ../../../../api/audio_codecs/opus/audio_encoder_multi_channel_opus_config.cc:50:20: warning: comparison of unsigned expression < 0 is always false [-Wtype-limits] [ 974s] 50 | if (num_channels < 0 || num_streams < 0 || coupled_streams < 0) { [ 974s] | ~~~~~~~~~~~~~^~~ [ 974s] [124/2033] CXX obj/api/libjingle_peerconnection_api/rtp_parameters.o [ 974s] [125/2033] CXX obj/api/video_codecs/rtc_software_fallback_wrappers/video_encoder_software_fallback_wrapper.o [ 974s] ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc: In member function 'virtual webrtc::VideoEncoder::EncoderInfo webrtc::{anonymous}::VideoEncoderSoftwareFallbackWrapper::GetEncoderInfo() const': [ 974s] ../../../../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] [ 974s] 287 | : VideoEncoder::ScalingSettings::kOff; [ 974s] | ^~~~ [ 974s] In file included from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.h:16, [ 974s] from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] ../../../../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] [ 974s] 289 | info.scaling_settings = default_encoder_info.scaling_settings; [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.h:16, [ 974s] from ../../../../api/video_codecs/video_encoder_software_fallback_wrapper.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] [126/2033] CXX obj/audio/audio/audio_receive_stream.o [ 974s] In file included from ../../../../audio/audio_receive_stream.h:20, [ 974s] from ../../../../audio/audio_receive_stream.cc:11: [ 974s] ../../../../call/audio_receive_stream.h: In member function 'webrtc::AudioReceiveStream::Config& webrtc::AudioReceiveStream::Config::operator=(const webrtc::AudioReceiveStream::Config&)': [ 974s] ../../../../call/audio_receive_stream.h:91:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 91 | struct Config { [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:22, [ 974s] from ../../../../audio/audio_receive_stream.h:20, [ 974s] from ../../../../audio/audio_receive_stream.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../audio/audio_receive_stream.cc: In static member function 'static void webrtc::internal::AudioReceiveStream::ConfigureStream(webrtc::internal::AudioReceiveStream*, const webrtc::AudioReceiveStream::Config&, bool)': [ 974s] ../../../../audio/audio_receive_stream.cc:397:21: note: synthesized method 'webrtc::AudioReceiveStream::Config& webrtc::AudioReceiveStream::Config::operator=(const webrtc::AudioReceiveStream::Config&)' first required here [ 974s] 397 | stream->config_ = new_config; [ 974s] | ^~~~~~~~~~ [ 974s] [127/2033] CXX obj/call/rtp_receiver/rtp_stream_receiver_controller.o [ 974s] [128/2033] CXX obj/api/transport_api/transport.o [ 974s] [129/2033] STAMP obj/api/transport_api.stamp [ 974s] [130/2033] CXX obj/api/rtc_event_log/rtc_event_log/rtc_event.o [ 974s] [131/2033] STAMP obj/webrtc_common.stamp [ 974s] [132/2033] CXX obj/api/video/video_stream_encoder_create/video_stream_encoder_create.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:30, [ 974s] from ../../../../api/video/video_stream_encoder_create.cc:15: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:30, [ 974s] from ../../../../api/video/video_stream_encoder_create.cc:15: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/video_frame.h:16, [ 974s] from ../../../../api/video/video_stream_encoder_create.h:18, [ 974s] from ../../../../api/video/video_stream_encoder_create.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:30, [ 974s] from ../../../../api/video/video_stream_encoder_create.cc:15: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [133/2033] CXX obj/audio/audio/channel_send.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../audio/channel_send.cc:25: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [134/2033] CXX obj/api/rtc_event_log_output_file/rtc_event_log_output_file.o [ 974s] In file included from ../../../../api/rtc_event_log_output_file.cc:14: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [135/2033] CXX obj/api/transport/network_control/network_types.o [ 974s] [136/2033] CXX obj/api/video/video_frame/video_frame_buffer.o [ 974s] [137/2033] CXX obj/api/libjingle_peerconnection_api/jsep.o [ 974s] [138/2033] CXX obj/modules/audio_coding/g711/audio_encoder_pcm.o [ 974s] [139/2033] CXX obj/api/audio_codecs/isac/audio_encoder_isac_float/audio_encoder_isac_float.o [ 974s] [140/2033] CC obj/third_party/libvpx/libvpx/vp9_quantize.o [ 974s] [141/2033] CC obj/third_party/libvpx/libvpx/vp9_segmentation.o [ 974s] [142/2033] CXX obj/api/audio_codecs/opus/audio_decoder_opus/audio_decoder_opus.o [ 974s] [143/2033] CXX obj/api/video/video_frame/video_frame.o [ 974s] [144/2033] CXX obj/api/audio_codecs/opus/audio_encoder_multiopus/audio_encoder_multi_channel_opus.o [ 974s] [145/2033] CXX obj/api/audio_codecs/ilbc/audio_decoder_ilbc/audio_decoder_ilbc.o [ 974s] [146/2033] CC obj/third_party/libvpx/libvpx/vp9_skin_detection.o [ 974s] [147/2033] CC obj/third_party/libvpx/libvpx/vp9_treewriter.o [ 974s] [148/2033] CXX obj/api/libjingle_peerconnection_api/media_transport_config.o [ 974s] [149/2033] CXX obj/api/audio_codecs/audio_codecs_api/audio_decoder.o [ 974s] [150/2033] CXX obj/api/audio_codecs/audio_codecs_api/audio_codec_pair_id.o [ 974s] [151/2033] CC obj/third_party/libvpx/libvpx/vpx_decoder.o [ 974s] [152/2033] CXX obj/api/libjingle_peerconnection_api/media_stream_interface.o [ 974s] [153/2033] CXX obj/api/audio_options_api/audio_options.o [ 974s] [154/2033] CXX obj/api/audio_codecs/audio_codecs_api/audio_format.o [ 974s] [155/2033] CXX obj/api/libjingle_peerconnection_api/crypto_options.o [ 974s] [156/2033] CC obj/third_party/libvpx/libvpx/vpx_codec.o [ 974s] [157/2033] CC obj/third_party/libvpx/libvpx/vpx_image.o [ 974s] [158/2033] CC obj/third_party/libvpx/libvpx/bitreader_buffer.o [ 974s] [159/2033] CC obj/third_party/libvpx/libvpx/vp9_subexp.o [ 974s] [160/2033] CC obj/third_party/libvpx/libvpx/bitwriter.o [ 974s] [161/2033] CC obj/third_party/libvpx/libvpx/bitwriter_buffer.o [ 974s] [162/2033] CC obj/third_party/libvpx/libvpx/bitreader.o [ 974s] [163/2033] CC obj/third_party/libvpx/libvpx/vp9_rd.o [ 974s] [164/2033] CC obj/third_party/libvpx/libvpx/add_noise.o [ 974s] [165/2033] CXX obj/pc/rtc_pc_base/dtls_srtp_transport.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/dtls_srtp_transport.h:21, [ 974s] from ../../../../pc/dtls_srtp_transport.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [166/2033] CXX obj/api/audio_codecs/audio_codecs_api/audio_encoder.o [ 974s] [167/2033] CC obj/third_party/libvpx/libvpx/vp9_tokenize.o [ 974s] [168/2033] CC obj/third_party/libvpx/libvpx/vpx_encoder.o [ 974s] [169/2033] CXX obj/api/transport/goog_cc/goog_cc_factory.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/goog_cc_network_control.h:28, [ 974s] from ../../../../api/transport/goog_cc_factory.cc:16: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [170/2033] CC obj/third_party/libvpx/libvpx/deblock.o [ 974s] [171/2033] CC obj/third_party/libvpx/libvpx/prob.o [ 974s] [172/2033] CC obj/third_party/libvpx/libvpx/skin_detection.o [ 974s] [173/2033] CC obj/third_party/libvpx/libvpx/vp9_speed_features.o [ 974s] [174/2033] CC obj/third_party/libvpx/libvpx/sum_squares.o [ 974s] [175/2033] CXX obj/api/audio_codecs/builtin_audio_encoder_factory/builtin_audio_encoder_factory.o [ 974s] [176/2033] CXX obj/api/audio_codecs/isac/audio_decoder_isac_float/audio_decoder_isac_float.o [ 974s] [177/2033] CC obj/third_party/libvpx/libvpx/subtract.o [ 974s] [178/2033] CC obj/third_party/libvpx/libvpx/vpx_mem.o [ 974s] [179/2033] CC obj/third_party/libvpx/libvpx/vp9_dx_iface.o [ 974s] [180/2033] CC obj/third_party/libvpx/libvpx/vp9_resize.o [ 974s] [181/2033] CC obj/third_party/libvpx/libvpx/avg.o [ 974s] [182/2033] CC obj/third_party/libvpx/libvpx/vpx_scale_rtcd.o [ 974s] [183/2033] CC obj/third_party/libvpx/libvpx/vpx_write_yuv_frame.o [ 974s] [184/2033] CXX obj/api/libjingle_peerconnection_api/jsep_ice_candidate.o [ 974s] In file included from ../../../../api/jsep_ice_candidate.cc:11: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../api/jsep_ice_candidate.h:21, [ 974s] from ../../../../api/jsep_ice_candidate.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] [185/2033] CC obj/third_party/libvpx/libvpx/gen_scalers.o [ 974s] [186/2033] CC obj/third_party/libvpx/libvpx/quantize.o [ 974s] [187/2033] CC obj/third_party/libvpx/libvpx/yv12config.o [ 974s] [188/2033] CXX obj/api/libjingle_peerconnection_api/rtp_sender_interface.o [ 974s] [189/2033] CC obj/third_party/libvpx/libvpx/psnr.o [ 974s] [190/2033] CC obj/third_party/libvpx/libvpx/vpx_thread.o [ 974s] [191/2033] CC obj/third_party/libvpx/libvpx/yv12extend.o [ 974s] [192/2033] CXX obj/modules/video_coding/video_coding_utility/simulcast_rate_allocator.o [ 974s] [193/2033] CC obj/base/third_party/libevent/libevent/strlcpy.o [ 974s] [194/2033] CC obj/third_party/libvpx/libvpx/vpx_dsp_rtcd.o [ 974s] [195/2033] CC obj/third_party/libvpx/libvpx/vpx_scale.o [ 974s] [196/2033] CC obj/base/third_party/libevent/libevent/evbuffer.o [ 974s] [197/2033] CC obj/base/third_party/libevent/libevent/poll.o [ 974s] [198/2033] CC obj/base/third_party/libevent/libevent/signal.o [ 974s] [199/2033] CXX obj/media/rtc_constants/constants.o [ 974s] [200/2033] CC obj/third_party/libvpx/libvpx/vpx_convolve.o [ 974s] [201/2033] CC obj/third_party/libvpx/libvpx/vp9_svc_layercontext.o [ 974s] [202/2033] CC obj/base/third_party/libevent/libevent/epoll.o [ 974s] [203/2033] AR obj/media/librtc_constants.a [ 974s] [204/2033] CC obj/third_party/libvpx/libvpx/vp9_cx_iface.o [ 974s] [205/2033] CXX obj/api/audio_codecs/g711/audio_encoder_g711/audio_encoder_g711.o [ 974s] [206/2033] CC obj/third_party/libvpx/libvpx/fwd_txfm.o [ 974s] [207/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx/quantize_avx.o [ 974s] [208/2033] CC obj/third_party/libvpx/libvpx/vp9_ratectrl.o [ 974s] [209/2033] CC obj/third_party/libvpx/libvpx/sad.o [ 974s] [210/2033] STAMP obj/build/config/common_deps.stamp [ 974s] [211/2033] STAMP obj/build/config/executable_deps.stamp [ 974s] [212/2033] CC obj/third_party/libvpx/libvpx/vp9_rdopt.o [ 974s] [213/2033] CXX obj/call/call_interfaces/syncable.o [ 974s] [214/2033] CXX obj/audio/utility/audio_frame_operations/audio_frame_operations.o [ 974s] [215/2033] CC obj/base/third_party/libevent/libevent/buffer.o [ 974s] [216/2033] CXX obj/modules/audio_processing/aecm/aecm_core/aecm_core_c.o [ 974s] [217/2033] CXX obj/api/video/video_stream_encoder/video_stream_encoder_observer.o [ 974s] [218/2033] CC obj/third_party/libvpx/libvpx/loopfilter.o [ 974s] [219/2033] CXX obj/call/call/degraded_call.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../call/degraded_call.h:27, [ 974s] from ../../../../call/degraded_call.cc:14: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [220/2033] CXX obj/api/video_codecs/video_codecs_api/video_decoder_factory.o [ 974s] [221/2033] CC obj/modules/audio_coding/ilbc_c/constants.o [ 974s] [222/2033] CC obj/modules/audio_coding/ilbc_c/comp_corr.o [ 974s] [223/2033] CC obj/modules/audio_coding/ilbc_c/create_augmented_vec.o [ 974s] [224/2033] CC obj/base/third_party/libevent/libevent/event.o [ 974s] [225/2033] CC obj/base/third_party/libevent/libevent/evdns.o [ 974s] [226/2033] CC obj/modules/audio_coding/ilbc_c/decode_residual.o [ 974s] [227/2033] CC obj/modules/audio_coding/ilbc_c/decoder_interpolate_lsf.o [ 974s] [228/2033] CXX obj/pc/rtc_pc_base/channel_manager.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../pc/channel_manager.h:23, [ 974s] from ../../../../pc/channel_manager.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/channel_manager.h:28, [ 974s] from ../../../../pc/channel_manager.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [229/2033] CXX obj/call/call_interfaces/audio_state.o [ 974s] [230/2033] AR obj/base/third_party/libevent/libevent.a [ 974s] [231/2033] CC obj/modules/audio_coding/ilbc_c/decode.o [ 974s] [232/2033] CXX obj/media/rtc_media_base/media_constants.o [ 974s] [233/2033] CXX obj/api/libjingle_peerconnection_api/peer_connection_interface.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../api/peer_connection_interface.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [234/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/contributing_sources.o [ 974s] [235/2033] CC obj/common_audio/common_audio_c/copy_set_operations.o [ 974s] [236/2033] CXX obj/common_audio/common_audio/smoothing_filter.o [ 974s] [237/2033] CC obj/modules/audio_coding/ilbc_c/do_plc.o [ 974s] [238/2033] CC obj/common_audio/common_audio_c/division_operations.o [ 974s] [239/2033] CC obj/common_audio/common_audio_c/cross_correlation.o [ 974s] [240/2033] CC obj/common_audio/common_audio_c/downsample_fast.o [ 974s] [241/2033] CC obj/common_audio/common_audio_c/spl_inl.o [ 974s] [242/2033] CC obj/common_audio/common_audio_c/spl_init.o [ 974s] [243/2033] CXX obj/call/call_interfaces/flexfec_receive_stream.o [ 974s] [244/2033] CC obj/common_audio/common_audio_c/sqrt_of_one_minus_x_squared.o [ 974s] [245/2033] CC obj/common_audio/common_audio_c/spl_sqrt.o [ 974s] [246/2033] CC obj/common_audio/common_audio_c/vector_scaling_operations.o [ 974s] [247/2033] CC obj/third_party/libvpx/libvpx/intrapred.o [ 974s] [248/2033] CC obj/common_audio/common_audio_c/splitting_filter.o [ 974s] [249/2033] CC obj/common_audio/common_audio_c/vad_filterbank.o [ 974s] [250/2033] CXX obj/call/call_interfaces/call_config.o [ 974s] [251/2033] CXX obj/common_audio/common_audio/wav_file.o [ 974s] [252/2033] CXX obj/api/create_peerconnection_factory/create_peerconnection_factory.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../api/create_peerconnection_factory.h:20, [ 974s] from ../../../../api/create_peerconnection_factory.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [253/2033] CXX obj/call/call/receive_time_calculator.o [ 974s] [254/2033] CC obj/common_audio/common_audio_c/resample_by_2_internal.o [ 974s] [255/2033] CC obj/common_audio/common_audio_c/vad_core.o [ 974s] [256/2033] CXX obj/modules/congestion_controller/goog_cc/estimators/acknowledged_bitrate_estimator.o [ 974s] [257/2033] CC obj/common_audio/common_audio_c/filter_ma_fast_q12.o [ 974s] [258/2033] CXX obj/audio/audio/audio_state.o [ 974s] [259/2033] CC obj/common_audio/common_audio_c/energy.o [ 974s] [260/2033] CC obj/common_audio/common_audio_c/get_hanning_window.o [ 974s] [261/2033] CC obj/third_party/libvpx/libvpx/inv_txfm.o [ 974s] [262/2033] CC obj/common_audio/common_audio_c/get_scaling_square.o [ 974s] [263/2033] CC obj/common_audio/common_audio_c/filter_ar.o [ 974s] [264/2033] CXX obj/modules/video_processing/video_processing/noise_estimation.o [ 974s] [265/2033] CC obj/common_audio/common_audio_c/lpc_to_refl_coef.o [ 974s] [266/2033] CXX obj/audio/audio/audio_send_stream.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../audio/audio_send_stream.cc:29: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../audio/audio_send_stream.h:19, [ 974s] from ../../../../audio/audio_send_stream.cc:11: [ 974s] ../../../../call/audio_send_stream.h: In member function 'webrtc::AudioSendStream::Config& webrtc::AudioSendStream::Config::operator=(const webrtc::AudioSendStream::Config&)': [ 974s] ../../../../call/audio_send_stream.h:77:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 77 | struct Config { [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../audio/channel_send.h:20, [ 974s] from ../../../../audio/audio_send_stream.h:17, [ 974s] from ../../../../audio/audio_send_stream.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../audio/audio_send_stream.cc: In static member function 'static void webrtc::internal::AudioSendStream::ConfigureStream(webrtc::internal::AudioSendStream*, const webrtc::AudioSendStream::Config&, bool)': [ 974s] ../../../../audio/audio_send_stream.cc:321:21: note: synthesized method 'webrtc::AudioSendStream::Config& webrtc::AudioSendStream::Config::operator=(const webrtc::AudioSendStream::Config&)' first required here [ 974s] 321 | stream->config_ = new_config; [ 974s] | ^~~~~~~~~~ [ 974s] ../../../../audio/audio_send_stream.cc: In member function 'virtual webrtc::AudioSendStream::Stats webrtc::internal::AudioSendStream::GetStats(bool) const': [ 974s] ../../../../audio/audio_send_stream.cc:432:58: warning: implicitly-declared 'webrtc::ANAStats& webrtc::ANAStats::operator=(const webrtc::ANAStats&)' is deprecated [-Wdeprecated-copy] [ 974s] 432 | stats.ana_statistics = channel_send_->GetANAStatistics(); [ 974s] | ^ [ 974s] In file included from ../../../../audio/channel_send.h:19, [ 974s] from ../../../../audio/audio_send_stream.h:17, [ 974s] from ../../../../audio/audio_send_stream.cc:11: [ 974s] ../../../../api/audio_codecs/audio_encoder.h:31:3: note: because 'webrtc::ANAStats' has user-provided 'webrtc::ANAStats::ANAStats(const webrtc::ANAStats&)' [ 974s] 31 | ANAStats(const ANAStats&); [ 974s] | ^~~~~~~~ [ 974s] ../../../../audio/audio_send_stream.cc:435:72: warning: implicitly-declared 'webrtc::AudioProcessingStats& webrtc::AudioProcessingStats::operator=(const webrtc::AudioProcessingStats&)' is deprecated [-Wdeprecated-copy] [ 974s] 435 | audio_state_->audio_processing()->GetStatistics(has_remote_tracks); [ 974s] | ^ [ 974s] In file included from ../../../../call/audio_send_stream.h:31, [ 974s] from ../../../../audio/audio_send_stream.h:19, [ 974s] from ../../../../audio/audio_send_stream.cc:11: [ 974s] ../../../../modules/audio_processing/include/audio_processing_statistics.h:24:3: note: because 'webrtc::AudioProcessingStats' has user-provided 'webrtc::AudioProcessingStats::AudioProcessingStats(const webrtc::AudioProcessingStats&)' [ 974s] 24 | AudioProcessingStats(const AudioProcessingStats& other); [ 974s] | ^~~~~~~~~~~~~~~~~~~~ [ 974s] [267/2033] CC obj/common_audio/common_audio_c/ilbc_specific_functions.o [ 974s] [268/2033] CC obj/common_audio/common_audio_c/levinson_durbin.o [ 974s] [269/2033] CC obj/common_audio/common_audio_c/refl_coef_to_lpc.o [ 974s] [270/2033] CXX obj/call/call_interfaces/audio_receive_stream.o [ 974s] [271/2033] CC obj/common_audio/common_audio_c/min_max_operations.o [ 974s] [272/2033] CC obj/common_audio/common_audio_c/randomization_functions.o [ 974s] [273/2033] CC obj/common_audio/common_audio_c/real_fft.o [ 974s] [274/2033] CXX obj/call/simulated_network/simulated_network.o [ 974s] ../../../../call/simulated_network.cc: In member function 'bool webrtc::CoDelSimulation::DropDequeuedPacket(webrtc::Timestamp, webrtc::Timestamp, webrtc::DataSize, webrtc::DataSize)': [ 974s] ../../../../call/simulated_network.cc:80:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 80 | } [ 974s] | ^ [ 974s] [275/2033] CC obj/common_audio/common_audio_c/resample_by_2.o [ 974s] [276/2033] CC obj/common_audio/common_audio_c/resample_48khz.o [ 974s] [277/2033] CC obj/common_audio/common_audio_c/resample_fractional.o [ 974s] [278/2033] CC obj/common_audio/common_audio_c/ring_buffer.o [ 974s] [279/2033] CXX obj/common_audio/common_audio/vad.o [ 974s] [280/2033] CC obj/common_audio/common_audio_c/resample.o [ 974s] [281/2033] CC obj/common_audio/common_audio_c/auto_corr_to_refl_coef.o [ 974s] [282/2033] CC obj/common_audio/common_audio_c/auto_correlation.o [ 974s] [283/2033] CXX obj/call/call_interfaces/audio_send_stream.o [ 974s] [284/2033] CXX obj/common_audio/common_audio/sparse_fir_filter.o [ 974s] [285/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/inter_arrival.o [ 974s] [286/2033] CXX obj/common_audio/common_audio/audio_util.o [ 974s] [287/2033] CXX obj/call/rtp_interfaces/rtp_config.o [ 974s] [288/2033] CC obj/common_audio/common_audio_c/vad_sp.o [ 974s] [289/2033] CXX obj/common_audio/common_audio/window_generator.o [ 974s] [290/2033] CC obj/common_audio/common_audio_c/vad_gmm.o [ 974s] [291/2033] CC obj/common_audio/common_audio_c/webrtc_vad.o [ 974s] [292/2033] STAMP obj/common_audio/common_audio_c_arm_asm.stamp [ 974s] [293/2033] CC obj/common_audio/common_audio_c/filter_ar_fast_q12.o [ 974s] [294/2033] CXX obj/common_audio/common_audio/audio_converter.o [ 974s] [295/2033] CC obj/common_audio/common_audio_c/complex_bit_reverse.o [ 974s] [296/2033] CXX obj/call/call/flexfec_receive_stream_impl.o [ 974s] [297/2033] CC obj/common_audio/common_audio_c/complex_fft.o [ 974s] [298/2033] STAMP obj/common_audio/fir_filter.stamp [ 974s] [299/2033] CXX obj/common_audio/common_audio/wav_header.o [ 974s] [300/2033] CXX obj/call/rtp_receiver/rtx_receive_stream.o [ 974s] [301/2033] CXX obj/modules/congestion_controller/goog_cc/pushback_controller/congestion_window_pushback_controller.o [ 974s] [302/2033] CC obj/third_party/libvpx/libvpx/variance.o [ 974s] [303/2033] CC obj/common_audio/third_party/spl_sqrt_floor/spl_sqrt_floor/spl_sqrt_floor.o [ 974s] [304/2033] CXX obj/call/rtp_sender/rtp_payload_params.o [ 974s] [305/2033] CXX obj/call/bitrate_allocator/bitrate_allocator.o [ 974s] [306/2033] CXX obj/call/rtp_receiver/rtcp_demuxer.o [ 974s] [307/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/common_header.o [ 974s] [308/2033] CXX obj/media/rtc_simulcast_encoder_adapter/simulcast_encoder_adapter.o [ 974s] ../../../../media/engine/simulcast_encoder_adapter.cc: In member function 'virtual int webrtc::SimulcastEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 974s] ../../../../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] [ 974s] 278 | encoder_info_ = streaminfos_[0].encoder->GetEncoderInfo(); [ 974s] | ^ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:19, [ 974s] from ../../../../media/engine/simulcast_encoder_adapter.h:23, [ 974s] from ../../../../media/engine/simulcast_encoder_adapter.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:130:5: note: because 'webrtc::VideoEncoder::EncoderInfo' has user-provided 'webrtc::VideoEncoder::EncoderInfo::EncoderInfo(const webrtc::VideoEncoder::EncoderInfo&)' [ 974s] 130 | EncoderInfo(const EncoderInfo&); [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/video_codecs/video_encoder.h: In member function 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)': [ 974s] ../../../../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] [ 974s] 125 | struct EncoderInfo { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] ../../../../media/engine/simulcast_encoder_adapter.cc: In member function 'virtual int webrtc::SimulcastEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 974s] ../../../../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 [ 974s] 278 | encoder_info_ = streaminfos_[0].encoder->GetEncoderInfo(); [ 974s] | ^ [ 974s] ../../../../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] [ 974s] 285 | encoder_info_.scaling_settings = VideoEncoder::ScalingSettings::kOff; [ 974s] | ^~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:19, [ 974s] from ../../../../media/engine/simulcast_encoder_adapter.h:23, [ 974s] from ../../../../media/engine/simulcast_encoder_adapter.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] [309/2033] STAMP obj/common_audio/third_party/spl_sqrt_floor/spl_sqrt_floor.stamp [ 974s] [310/2033] CXX obj/stats/rtc_stats/rtcstats_objects.o [ 974s] [311/2033] CXX obj/common_audio/common_audio/push_sinc_resampler.o [ 974s] [312/2033] CXX obj/common_audio/common_audio/real_fourier.o [ 974s] [313/2033] CXX obj/modules/pacing/pacing/bitrate_prober.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/pacing/bitrate_prober.cc:18: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [314/2033] CXX obj/common_audio/common_audio/real_fourier_ooura.o [ 974s] [315/2033] CXX obj/common_audio/fir_filter_factory/fir_filter_factory.o [ 974s] [316/2033] CXX obj/common_audio/common_audio_cc/dot_product_with_scale.o [ 974s] [317/2033] CXX obj/common_audio/common_audio/sinc_resampler.o [ 974s] [318/2033] CXX obj/common_audio/common_audio_sse2/sinc_resampler_sse.o [ 974s] [319/2033] CXX obj/modules/pacing/pacing/paced_sender.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/pacing/paced_sender.cc:17: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [320/2033] CXX obj/logging/ice_log/rtc_event_dtls_writable_state.o [ 974s] [321/2033] CXX obj/call/call/call_factory.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../call/call_factory.h:15, [ 974s] from ../../../../call/call_factory.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [322/2033] CXX obj/common_audio/common_audio/resampler.o [ 974s] [323/2033] CXX obj/common_audio/common_audio_sse2/fir_filter_sse.o [ 974s] [324/2033] CXX obj/common_audio/fir_filter_factory/fir_filter_c.o [ 974s] [325/2033] CXX obj/call/rtp_receiver/rtp_demuxer.o [ 974s] [326/2033] CXX obj/common_video/common_video/sps_parser.o [ 974s] [327/2033] CXX obj/common_video/common_video/pps_parser.o [ 974s] [328/2033] CC obj/common_audio/third_party/fft4g/fft4g/fft4g.o [ 974s] [329/2033] CXX obj/common_audio/common_audio/channel_buffer.o [ 974s] [330/2033] STAMP obj/common_audio/third_party/fft4g/fft4g.stamp [ 974s] [331/2033] CXX obj/common_video/common_video/h264_common.o [ 974s] [332/2033] CXX obj/common_video/common_video/bitrate_adjuster.o [ 974s] [333/2033] CXX obj/modules/pacing/pacing/packet_router.o [ 974s] [334/2033] CXX obj/logging/rtc_event_bwe/rtc_event_probe_result_success.o [ 974s] [335/2033] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtcp_packet_outgoing.o [ 974s] [336/2033] CXX obj/common_video/common_video/video_render_frames.o [ 974s] [337/2033] CXX obj/common_video/common_video/i420_buffer_pool.o [ 974s] [338/2033] CXX obj/logging/rtc_event_bwe/rtc_event_route_change.o [ 974s] [339/2033] CXX obj/logging/ice_log/rtc_event_ice_candidate_pair_config.o [ 974s] [340/2033] CXX obj/logging/ice_log/rtc_event_ice_candidate_pair.o [ 974s] [341/2033] CXX obj/logging/rtc_event_bwe/rtc_event_probe_cluster_created.o [ 974s] [342/2033] CXX obj/logging/rtc_event_bwe/rtc_event_probe_result_failure.o [ 974s] [343/2033] CXX obj/common_audio/common_audio/push_resampler.o [ 974s] [344/2033] CXX obj/common_video/common_video/incoming_video_stream.o [ 974s] [345/2033] CXX obj/common_video/common_video/h264_bitstream_parser.o [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../common_video/h264/h264_bitstream_parser.h:16, [ 974s] from ../../../../common_video/h264/h264_bitstream_parser.cc:10: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../common_video/h264/h264_bitstream_parser.h:19, [ 974s] from ../../../../common_video/h264/h264_bitstream_parser.cc:10: [ 974s] ../../../../common_video/h264/sps_parser.h:29:5: note: because 'webrtc::SpsParser::SpsState' has user-provided 'webrtc::SpsParser::SpsState::SpsState(const webrtc::SpsParser::SpsState&)' [ 974s] 29 | SpsState(const SpsState&); [ 974s] | ^~~~~~~~ [ 974s] [346/2033] CXX obj/modules/video_coding/video_coding_utility/decoded_frames_history.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:19, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:19, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:18, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.h:19, [ 974s] from ../../../../modules/video_coding/utility/decoded_frames_history.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [347/2033] CXX obj/common_video/common_video/video_frame_buffer.o [ 974s] [348/2033] CXX obj/logging/rtc_event_log_impl_encoder/rtc_event_log_encoder_common.o [ 974s] [349/2033] CXX obj/logging/rtc_event_audio/rtc_event_audio_network_adaptation.o [ 974s] [350/2033] CXX obj/modules/audio_processing/agc2/fixed_digital/limiter.o [ 974s] [351/2033] CXX obj/logging/rtc_event_pacing/rtc_event_alr_state.o [ 974s] [352/2033] CXX obj/logging/rtc_event_audio/rtc_event_audio_playout.o [ 974s] [353/2033] STAMP obj/media/rtc_media_config.stamp [ 974s] [354/2033] CXX obj/logging/ice_log/rtc_event_dtls_transport_state.o [ 974s] [355/2033] CXX obj/common_video/generic_frame_descriptor/generic_frame_descriptor/generic_frame_info.o [ 974s] [356/2033] CXX obj/logging/rtc_event_log_impl_encoder/var_int.o [ 974s] [357/2033] CXX obj/logging/rtc_event_bwe/rtc_event_bwe_update_loss_based.o [ 974s] [358/2033] CXX obj/common_video/common_video/webrtc_libyuv.o [ 974s] [359/2033] CXX obj/logging/rtc_event_audio/rtc_event_audio_receive_stream_config.o [ 974s] [360/2033] CXX obj/logging/rtc_event_audio/rtc_event_audio_send_stream_config.o [ 974s] [361/2033] CXX obj/common_video/common_video/sps_vui_rewriter.o [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../common_video/h264/sps_vui_rewriter.h:18, [ 974s] from ../../../../common_video/h264/sps_vui_rewriter.cc:12: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../common_video/h264/sps_vui_rewriter.h:19, [ 974s] from ../../../../common_video/h264/sps_vui_rewriter.cc:12: [ 974s] ../../../../common_video/h264/sps_parser.h:29:5: note: because 'webrtc::SpsParser::SpsState' has user-provided 'webrtc::SpsParser::SpsState::SpsState(const webrtc::SpsParser::SpsState&)' [ 974s] 29 | SpsState(const SpsState&); [ 974s] | ^~~~~~~~ [ 974s] [362/2033] CXX obj/logging/rtc_event_log_impl_base/rtc_event_log_factory.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory.h:16, [ 974s] from ../../../../logging/rtc_event_log/rtc_event_log_factory.h:16, [ 974s] from ../../../../logging/rtc_event_log/rtc_event_log_factory.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [363/2033] CXX obj/call/video_stream_api/video_receive_stream.o [ 974s] In file included from ../../../../call/video_receive_stream.cc:11: [ 974s] ../../../../call/video_receive_stream.h: In member function 'webrtc::VideoReceiveStream::Config& webrtc::VideoReceiveStream::Config::operator=(webrtc::VideoReceiveStream::Config&&)': [ 974s] ../../../../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] [ 974s] 120 | struct Config { [ 974s] | ^~~~~~ [ 974s] ../../../../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&)' [ 974s] 151 | Rtp(const Rtp&); [ 974s] | ^~~ [ 974s] ../../../../call/video_receive_stream.h:120:10: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 120 | struct Config { [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../call/video_receive_stream.h:21, [ 974s] from ../../../../call/video_receive_stream.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../call/video_receive_stream.cc: At global scope: [ 974s] ../../../../call/video_receive_stream.cc:79:5: note: synthesized method 'webrtc::VideoReceiveStream::Config& webrtc::VideoReceiveStream::Config::operator=(webrtc::VideoReceiveStream::Config&&)' first required here [ 974s] 79 | default; [ 974s] | ^~~~~~~ [ 974s] [364/2033] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtp_packet_incoming.o [ 974s] [365/2033] CXX obj/modules/video_coding/webrtc_h264/h264_color_space.o [ 974s] [366/2033] CXX obj/call/fake_network/fake_network_pipe.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../call/fake_network_pipe.h:24, [ 974s] from ../../../../call/fake_network_pipe.cc:18: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/test/simulated_network.h:20, [ 974s] from ../../../../call/fake_network_pipe.h:23, [ 974s] from ../../../../call/fake_network_pipe.cc:18: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/fake_network_pipe.h:22, [ 974s] from ../../../../call/fake_network_pipe.cc:18: [ 974s] ../../../../api/call/transport.h:24:3: note: because 'webrtc::PacketOptions' has user-provided 'webrtc::PacketOptions::PacketOptions(const webrtc::PacketOptions&)' [ 974s] 24 | PacketOptions(const PacketOptions&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] [367/2033] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtcp_packet_incoming.o [ 974s] [368/2033] CXX obj/logging/ice_log/ice_logger.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../logging/rtc_event_log/ice_logger.cc:14: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../logging/rtc_event_log/ice_logger.cc: In member function 'void webrtc::IceEventLog::LogCandidatePairConfig(webrtc::IceCandidatePairConfigType, uint32_t, const webrtc::IceCandidatePairDescription&)': [ 974s] ../../../../logging/rtc_event_log/ice_logger.cc:28:51: warning: implicitly-declared 'webrtc::IceCandidatePairDescription& webrtc::IceCandidatePairDescription::operator=(const webrtc::IceCandidatePairDescription&)' is deprecated [-Wdeprecated-copy] [ 974s] 28 | candidate_pair_desc_by_id_[candidate_pair_id] = candidate_pair_desc; [ 974s] | ^~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../logging/rtc_event_log/ice_logger.h:17, [ 974s] from ../../../../logging/rtc_event_log/ice_logger.cc:11: [ 974s] ../../../../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&)' [ 974s] 69 | explicit IceCandidatePairDescription( [ 974s] | ^~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 974s] [369/2033] STAMP obj/modules/module_fec_api.stamp [ 974s] [370/2033] CXX obj/modules/video_coding/webrtc_h264/h264_decoder_impl.o [ 974s] [371/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/fec_private_tables_bursty.o [ 974s] [372/2033] STAMP obj/api/fec_controller_api.stamp [ 974s] [373/2033] CXX obj/media/rtc_media_base/media_channel.o [ 974s] [374/2033] CXX obj/logging/rtc_event_log_impl_encoder/delta_encoding.o [ 974s] [375/2033] CXX obj/logging/rtc_event_video/rtc_event_video_receive_stream_config.o [ 974s] [376/2033] CXX obj/logging/rtc_event_log_impl_encoder/blob_encoding.o [ 974s] [377/2033] CXX obj/media/rtc_audio_video/adm_helpers.o [ 974s] [378/2033] CXX obj/media/rtc_audio_video/apm_helpers.o [ 974s] [379/2033] CXX obj/media/rtc_audio_video/simulcast.o [ 974s] [380/2033] CXX obj/media/rtc_media_base/video_common.o [ 974s] [381/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/overuse_detector.o [ 974s] [382/2033] CXX obj/media/rtc_h264_profile_id/h264_profile_level_id.o [ 974s] [383/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/bwe_defines.o [ 974s] [384/2033] CXX obj/media/rtc_audio_video/unhandled_packets_buffer.o [ 974s] [385/2033] CXX obj/media/rtc_media_base/video_source_base.o [ 974s] ../../../../media/base/video_source_base.cc: In member function 'virtual void rtc::VideoSourceBase::AddOrUpdateSink(rtc::VideoSinkInterface*, const rtc::VideoSinkWants&)': [ 974s] ../../../../media/base/video_source_base.cc:30:24: warning: implicitly-declared 'rtc::VideoSinkWants& rtc::VideoSinkWants::operator=(const rtc::VideoSinkWants&)' is deprecated [-Wdeprecated-copy] [ 974s] 30 | sink_pair->wants = wants; [ 974s] | ^~~~~ [ 974s] In file included from ../../../../media/base/video_source_base.h:18, [ 974s] from ../../../../media/base/video_source_base.cc:11: [ 974s] ../../../../api/video/video_source_interface.h:26:3: note: because 'rtc::VideoSinkWants' has user-provided 'rtc::VideoSinkWants::VideoSinkWants(const rtc::VideoSinkWants&)' [ 974s] 26 | VideoSinkWants(const VideoSinkWants&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] [386/2033] CXX obj/logging/rtc_event_rtp_rtcp/rtc_event_rtp_packet_outgoing.o [ 974s] [387/2033] CXX obj/media/rtc_media_base/video_broadcaster.o [ 974s] ../../../../media/base/video_broadcaster.cc: In member function 'void rtc::VideoBroadcaster::UpdateWants()': [ 974s] ../../../../media/base/video_broadcaster.cc:132:20: warning: implicitly-declared 'rtc::VideoSinkWants& rtc::VideoSinkWants::operator=(const rtc::VideoSinkWants&)' is deprecated [-Wdeprecated-copy] [ 974s] 132 | current_wants_ = wants; [ 974s] | ^~~~~ [ 974s] In file included from ../../../../media/base/video_broadcaster.h:16, [ 974s] from ../../../../media/base/video_broadcaster.cc:11: [ 974s] ../../../../api/video/video_source_interface.h:26:3: note: because 'rtc::VideoSinkWants' has user-provided 'rtc::VideoSinkWants::VideoSinkWants(const rtc::VideoSinkWants&)' [ 974s] 26 | VideoSinkWants(const VideoSinkWants&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] [388/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/overuse_estimator.o [ 974s] [389/2033] CXX obj/logging/rtc_stream_config/rtc_stream_config.o [ 974s] [390/2033] CXX obj/modules/audio_coding/audio_network_adaptor/debug_dump_writer.o [ 974s] [391/2033] CXX obj/media/rtc_media_base/turn_utils.o [ 974s] [392/2033] CXX obj/media/rtc_media_base/video_adapter.o [ 974s] [393/2033] CXX obj/modules/video_processing/video_processing/skin_detection.o [ 974s] [394/2033] CXX obj/modules/audio_coding/audio_network_adaptor_config/audio_network_adaptor_config.o [ 974s] [395/2033] CXX obj/media/rtc_media_base/adapted_video_track_source.o [ 974s] [396/2033] CXX obj/modules/audio_coding/audio_network_adaptor/bitrate_controller.o [ 974s] [397/2033] CXX obj/media/rtc_vp9_profile/vp9_profile.o [ 974s] [398/2033] CXX obj/media/rtc_media_base/rtp_utils.o [ 974s] ../../../../media/base/rtp_utils.cc: In function 'absl::string_view cricket::RtpPacketTypeToString(cricket::RtpPacketType)': [ 974s] ../../../../media/base/rtp_utils.cc:324:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 324 | } [ 974s] | ^ [ 974s] [399/2033] CXX obj/modules/video_coding/webrtc_multiplex/augmented_video_frame_buffer.o [ 974s] [400/2033] STAMP obj/rtc_base/deprecation.stamp [ 974s] [401/2033] STAMP obj/modules/audio_coding/audio_coding_module_typedefs.stamp [ 974s] [402/2033] CXX obj/call/rtp_sender/rtp_transport_controller_send.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/rtp_transport_controller_send.h:23, [ 974s] from ../../../../call/rtp_transport_controller_send.cc:20: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../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*)': [ 974s] ../../../../call/rtp_transport_controller_send.cc:90:74: warning: implicitly-declared 'webrtc::TargetRateConstraints& webrtc::TargetRateConstraints::operator=(const webrtc::TargetRateConstraints&)' is deprecated [-Wdeprecated-copy] [ 974s] 90 | initial_config_.constraints = ConvertConstraints(bitrate_config, clock_); [ 974s] | ^ [ 974s] In file included from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/transport/goog_cc_factory.h:16, [ 974s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 974s] ../../../../api/transport/network_types.h:48:3: note: because 'webrtc::TargetRateConstraints' has user-provided 'webrtc::TargetRateConstraints::TargetRateConstraints(const webrtc::TargetRateConstraints&)' [ 974s] 48 | TargetRateConstraints(const TargetRateConstraints&); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../call/rtp_transport_controller_send.cc: In member function 'virtual void webrtc::RtpTransportControllerSend::OnNetworkRouteChanged(const string&, const rtc::NetworkRoute&)': [ 974s] ../../../../call/rtp_transport_controller_send.cc:255:64: warning: implicitly-declared 'webrtc::TargetRateConstraints& webrtc::TargetRateConstraints::operator=(const webrtc::TargetRateConstraints&)' is deprecated [-Wdeprecated-copy] [ 974s] 255 | msg.constraints = ConvertConstraints(bitrate_config, clock_); [ 974s] | ^ [ 974s] In file included from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/transport/goog_cc_factory.h:16, [ 974s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 974s] ../../../../api/transport/network_types.h:48:3: note: because 'webrtc::TargetRateConstraints' has user-provided 'webrtc::TargetRateConstraints::TargetRateConstraints(const webrtc::TargetRateConstraints&)' [ 974s] 48 | TargetRateConstraints(const TargetRateConstraints&); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../call/rtp_transport_controller_send.cc: In member function 'void webrtc::RtpTransportControllerSend::MaybeCreateControllers()': [ 974s] ../../../../call/rtp_transport_controller_send.cc:466:41: warning: implicitly-declared 'webrtc::StreamsConfig& webrtc::StreamsConfig::operator=(const webrtc::StreamsConfig&)' is deprecated [-Wdeprecated-copy] [ 974s] 466 | initial_config_.stream_based_config = streams_config_; [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/transport/goog_cc_factory.h:16, [ 974s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 974s] ../../../../api/transport/network_types.h:32:3: note: because 'webrtc::StreamsConfig' has user-provided 'webrtc::StreamsConfig::StreamsConfig(const webrtc::StreamsConfig&)' [ 974s] 32 | StreamsConfig(const StreamsConfig&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../call/rtp_transport_controller_send.cc: In member function 'void webrtc::RtpTransportControllerSend::UpdateInitialConstraints(webrtc::TargetRateConstraints)': [ 974s] ../../../../call/rtp_transport_controller_send.cc:487:33: warning: implicitly-declared 'webrtc::TargetRateConstraints& webrtc::TargetRateConstraints::operator=(const webrtc::TargetRateConstraints&)' is deprecated [-Wdeprecated-copy] [ 974s] 487 | initial_config_.constraints = new_contraints; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/transport/goog_cc_factory.h:16, [ 974s] from ../../../../call/rtp_transport_controller_send.cc:15: [ 974s] ../../../../api/transport/network_types.h:48:3: note: because 'webrtc::TargetRateConstraints' has user-provided 'webrtc::TargetRateConstraints::TargetRateConstraints(const webrtc::TargetRateConstraints&)' [ 974s] 48 | TargetRateConstraints(const TargetRateConstraints&); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~ [ 974s] [403/2033] CXX obj/modules/video_coding/video_coding/h264_sprop_parameter_sets.o [ 974s] [404/2033] CXX obj/modules/video_processing/video_processing/denoiser_filter_c.o [ 974s] [405/2033] CXX obj/media/rtc_audio_video/payload_type_mapper.o [ 974s] ../../../../media/engine/payload_type_mapper.cc: In member function 'absl::optional cricket::PayloadTypeMapper::ToAudioCodec(const webrtc::SdpAudioFormat&)': [ 974s] ../../../../media/engine/payload_type_mapper.cc:132:21: warning: redundant move in return statement [-Wredundant-move] [ 974s] 132 | return std::move(codec); [ 974s] | ~~~~~~~~~^~~~~~~ [ 974s] ../../../../media/engine/payload_type_mapper.cc:132:21: note: remove 'std::move' call [ 974s] [406/2033] CXX obj/call/rtp_sender/rtp_video_sender.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/rtp_video_sender.h:26, [ 974s] from ../../../../call/rtp_video_sender.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [407/2033] CXX obj/modules/module_api/module_common_types.o [ 974s] [408/2033] CXX obj/modules/video_coding/video_codec_interface/video_coding_defines.o [ 974s] [409/2033] CXX obj/modules/video_coding/webrtc_h264/h264.o [ 974s] [410/2033] CC obj/modules/audio_coding/ilbc_c/cb_mem_energy_calc.o [ 974s] [411/2033] CXX obj/modules/audio_coding/audio_network_adaptor/frame_length_controller.o [ 974s] [412/2033] CC obj/modules/audio_coding/ilbc_c/chebyshev.o [ 974s] [413/2033] CC obj/modules/audio_coding/ilbc_c/cb_search_core.o [ 974s] [414/2033] CXX obj/modules/video_processing/video_processing/video_denoiser.o [ 974s] ../../../../modules/video_processing/video_denoiser.cc: In member function 'void webrtc::VideoDenoiser::CopySrcOnMOB(const uint8_t*, int, webrtc::uint8_t*, int)': [ 974s] ../../../../modules/video_processing/video_denoiser.cc:194:31: warning: '*' in boolean context, suggest '&&' instead [-Wint-in-bool-context] [ 974s] 194 | (x_density_[mb_col] * y_density_[mb_row] && [ 974s] [415/2033] CXX obj/rtc_base/criticalsection/critical_section.o [ 974s] [416/2033] CXX obj/media/rtc_media_base/rid_description.o [ 974s] [417/2033] CXX obj/test/fake_video_codecs/fake_decoder.o [ 974s] [418/2033] CC obj/modules/audio_coding/ilbc_c/abs_quant.o [ 974s] [419/2033] CC obj/modules/audio_coding/ilbc_c/abs_quant_loop.o [ 974s] [420/2033] CC obj/modules/audio_coding/ilbc_c/cb_search.o [ 974s] [421/2033] CXX obj/modules/audio_coding/audio_coding/acm_resampler.o [ 974s] [422/2033] CC obj/modules/audio_coding/g722_c/g722_interface.o [ 974s] [423/2033] CC obj/modules/audio_coding/g711_c/g711_interface.o [ 974s] [424/2033] CXX obj/modules/audio_coding/g711/audio_decoder_pcm.o [ 974s] [425/2033] CC obj/modules/audio_coding/ilbc_c/cb_update_best_index.o [ 974s] [426/2033] CXX obj/modules/audio_coding/audio_encoder_cng/audio_encoder_cng.o [ 974s] [427/2033] CXX obj/modules/audio_coding/audio_coding/acm_receiver.o [ 974s] [428/2033] CXX obj/media/rtc_internal_video_codecs/multiplex_codec_factory.o [ 974s] [429/2033] CXX obj/pc/peerconnection/audio_track.o [ 974s] [430/2033] CC obj/modules/audio_coding/ilbc_c/get_sync_seq.o [ 974s] [431/2033] CC obj/modules/audio_coding/ilbc_c/hp_input.o [ 974s] [432/2033] CC obj/modules/audio_coding/ilbc_c/index_conv_dec.o [ 974s] [433/2033] CXX obj/modules/audio_coding/audio_network_adaptor/dtx_controller.o [ 974s] [434/2033] CC obj/modules/audio_coding/ilbc_c/index_conv_enc.o [ 974s] [435/2033] CC obj/modules/audio_coding/ilbc_c/init_encode.o [ 974s] [436/2033] CXX obj/media/rtc_internal_video_codecs/fake_video_codec_factory.o [ 974s] [437/2033] CC obj/modules/audio_coding/ilbc_c/init_decode.o [ 974s] [438/2033] CC obj/modules/audio_coding/ilbc_c/lpc_encode.o [ 974s] [439/2033] CC obj/modules/audio_coding/ilbc_c/ilbc.o [ 974s] [440/2033] CC obj/modules/audio_coding/ilbc_c/interpolate.o [ 974s] [441/2033] CC obj/modules/audio_coding/ilbc_c/lsf_interpolate_to_poly_dec.o [ 974s] [442/2033] CC obj/modules/audio_coding/ilbc_c/interpolate_samples.o [ 974s] [443/2033] CC obj/modules/audio_coding/ilbc_c/lsf_check.o [ 974s] [444/2033] CC obj/modules/audio_coding/ilbc_c/augmented_cb_corr.o [ 974s] [445/2033] CC obj/modules/audio_coding/ilbc_c/bw_expand.o [ 974s] [446/2033] CXX obj/media/rtc_internal_video_codecs/internal_decoder_factory.o [ 974s] [447/2033] CXX obj/modules/audio_coding/audio_network_adaptor/fec_controller_rplr_based.o [ 974s] [448/2033] CXX obj/rtc_base/rtc_base_approved/location.o [ 974s] [449/2033] CXX obj/modules/audio_coding/audio_network_adaptor/channel_controller.o [ 974s] [450/2033] CXX obj/modules/video_capture/video_capture_module/device_info_impl.o [ 974s] [451/2033] CXX obj/rtc_base/logging/logging.o [ 974s] [452/2033] CXX obj/media/rtc_media_base/stream_params.o [ 974s] [453/2033] CXX obj/modules/video_coding/encoded_frame/encoded_frame.o [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/encoded_frame.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/encoded_image.h:17, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 974s] from ../../../../modules/video_coding/encoded_frame.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/encoded_frame.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [454/2033] CC obj/modules/audio_coding/ilbc_c/energy_inverse.o [ 974s] [455/2033] CC obj/modules/audio_coding/ilbc_c/enh_upsample.o [ 974s] [456/2033] CC obj/modules/audio_coding/ilbc_c/enhancer.o [ 974s] [457/2033] CC obj/modules/audio_coding/ilbc_c/filtered_cb_vecs.o [ 974s] [458/2033] CXX obj/rtc_base/rtc_base_approved/flags.o [ 974s] [459/2033] CC obj/modules/audio_coding/ilbc_c/frame_classify.o [ 974s] [460/2033] CC obj/modules/audio_coding/ilbc_c/encode.o [ 974s] [461/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rrtr.o [ 974s] [462/2033] CC obj/modules/audio_coding/ilbc_c/gain_quant.o [ 974s] [463/2033] STAMP obj/rtc_base/type_traits.stamp [ 974s] [464/2033] CC obj/modules/audio_coding/ilbc_c/gain_dequant.o [ 974s] [465/2033] STAMP obj/modules/audio_coding/isac_bwinfo.stamp [ 974s] [466/2033] CC obj/modules/audio_coding/ilbc_c/hp_output.o [ 974s] [467/2033] CC obj/modules/audio_coding/ilbc_c/get_lsp_poly.o [ 974s] [468/2033] CXX obj/rtc_base/rtc_numerics/moving_average.o [ 974s] [469/2033] CC obj/modules/audio_coding/ilbc_c/get_cd_vec.o [ 974s] [470/2033] CC obj/modules/audio_coding/isac_c/pitch_lag_tables.o [ 974s] [471/2033] CC obj/modules/audio_coding/isac_c/lpc_tables.o [ 974s] [472/2033] CC obj/modules/audio_coding/isac_c/pitch_gain_tables.o [ 974s] [473/2033] CC obj/modules/audio_coding/isac_c/spectrum_ar_model_tables.o [ 974s] [474/2033] CC obj/modules/audio_coding/ilbc_c/enhancer_interface.o [ 974s] [475/2033] CC obj/modules/audio_coding/ilbc_c/lsf_interpolate_to_poly_enc.o [ 974s] [476/2033] CC obj/modules/audio_coding/ilbc_c/lsf_to_lsp.o [ 974s] [477/2033] CC obj/modules/audio_coding/isac_c/transform.o [ 974s] [478/2033] CC obj/modules/audio_coding/ilbc_c/lsp_to_lsf.o [ 974s] [479/2033] CC obj/modules/audio_coding/ilbc_c/my_corr.o [ 974s] [480/2033] CC obj/modules/audio_coding/ilbc_c/nearest_neighbor.o [ 974s] [481/2033] CXX obj/modules/audio_coding/g722/audio_decoder_g722.o [ 974s] [482/2033] CC obj/modules/audio_coding/ilbc_c/lsf_to_poly.o [ 974s] [483/2033] CC obj/modules/audio_coding/ilbc_c/poly_to_lsf.o [ 974s] [484/2033] CXX obj/rtc_base/rtc_base_approved/histogram_percentile_counter.o [ 974s] [485/2033] CC obj/modules/audio_coding/ilbc_c/simple_interpolate_lsf.o [ 974s] [486/2033] CC obj/modules/audio_coding/ilbc_c/simple_lsf_dequant.o [ 974s] [487/2033] CC obj/modules/audio_coding/ilbc_c/simple_lpc_analysis.o [ 974s] [488/2033] CC obj/modules/audio_coding/ilbc_c/smooth_out_data.o [ 974s] [489/2033] CXX obj/modules/audio_coding/ilbc/audio_encoder_ilbc.o [ 974s] [490/2033] CC obj/modules/audio_coding/ilbc_c/poly_to_lsp.o [ 974s] [491/2033] CC obj/modules/audio_coding/ilbc_c/simple_lsf_quant.o [ 974s] [492/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/report_block.o [ 974s] [493/2033] CC obj/modules/audio_coding/ilbc_c/pack_bits.o [ 974s] [494/2033] CC obj/modules/audio_coding/ilbc_c/refiner.o [ 974s] [495/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtpfb.o [ 974s] [496/2033] CC obj/modules/audio_coding/ilbc_c/sort_sq.o [ 974s] [497/2033] CC obj/modules/audio_coding/ilbc_c/split_vq.o [ 974s] [498/2033] CC obj/modules/audio_coding/ilbc_c/swap_bytes.o [ 974s] [499/2033] CC obj/modules/audio_coding/ilbc_c/state_construct.o [ 974s] [500/2033] CC obj/modules/audio_coding/ilbc_c/smooth.o [ 974s] [501/2033] CC obj/modules/audio_coding/ilbc_c/state_search.o [ 974s] [502/2033] CC obj/modules/audio_coding/ilbc_c/vq4.o [ 974s] [503/2033] CC obj/modules/audio_coding/ilbc_c/vq3.o [ 974s] [504/2033] CC obj/modules/audio_coding/ilbc_c/window32_w32.o [ 974s] [505/2033] CXX obj/media/rtc_media_base/media_engine.o [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/audio_codecs/audio_decoder_factory.h:17, [ 974s] from ../../../../media/base/media_engine.h:22, [ 974s] from ../../../../media/base/media_engine.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../media/base/media_engine.cc:52:26: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../media/base/media_engine.h:25, [ 974s] from ../../../../media/base/media_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/audio_codecs/audio_decoder_factory.h:17, [ 974s] from ../../../../media/base/media_engine.h:22, [ 974s] from ../../../../media/base/media_engine.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../media/base/media_engine.cc:52:26: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../media/base/media_engine.h:25, [ 974s] from ../../../../media/base/media_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [506/2033] CC obj/modules/audio_coding/ilbc_c/xcorr_coef.o [ 974s] [507/2033] CC obj/modules/audio_coding/isac_c/arith_routines_hist.o [ 974s] [508/2033] CC obj/modules/audio_coding/isac_c/decode_bwe.o [ 974s] [509/2033] CXX obj/media/rtc_media_base/codec.o [ 974s] [510/2033] CXX obj/modules/audio_coding/g722/audio_encoder_g722.o [ 974s] [511/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/target_bitrate.o [ 974s] [512/2033] CC obj/modules/audio_coding/ilbc_c/unpack_bits.o [ 974s] [513/2033] CC obj/modules/audio_coding/isac_c/crc.o [ 974s] [514/2033] CC obj/modules/audio_coding/isac_c/filterbanks.o [ 974s] [515/2033] CXX obj/modules/audio_coding/isac_common/locked_bandwidth_info.o [ 974s] [516/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/loss_notification.o [ 974s] [517/2033] CC obj/modules/audio_coding/isac_c/intialize.o [ 974s] [518/2033] CC obj/modules/audio_coding/isac_c/lpc_gain_swb_tables.o [ 974s] [519/2033] CXX obj/rtc_base/rtc_base_approved/event_tracer.o [ 974s] [520/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/pli.o [ 974s] [521/2033] CC obj/modules/audio_coding/isac_c/arith_routines_logist.o [ 974s] [522/2033] CC obj/modules/audio_coding/isac_c/decode.o [ 974s] [523/2033] CC obj/modules/audio_coding/isac_c/lpc_shape_swb12_tables.o [ 974s] [524/2033] CC obj/modules/audio_coding/isac_c/lpc_shape_swb16_tables.o [ 974s] [525/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/tmmb_item.o [ 974s] [526/2033] CC obj/modules/audio_coding/isac_c/arith_routines.o [ 974s] [527/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/remb.o [ 974s] [528/2033] CC obj/modules/audio_coding/isac_c/bandwidth_estimator.o [ 974s] [529/2033] CC obj/modules/audio_coding/isac_c/encode_lpc_swb.o [ 974s] [530/2033] CC obj/modules/audio_coding/isac_c/lattice.o [ 974s] [531/2033] CXX obj/modules/audio_coding/audio_network_adaptor/controller_manager.o [ 974s] [532/2033] CXX obj/modules/congestion_controller/congestion_controller/send_side_congestion_controller.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/probe_controller.h:22, [ 974s] from ../../../../modules/congestion_controller/send_side_congestion_controller.cc:28: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [533/2033] CXX obj/modules/video_coding/webrtc_multiplex/multiplex_decoder_adapter.o [ 974s] [534/2033] CC obj/modules/audio_coding/isac_c/lpc_analysis.o [ 974s] [535/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/nack.o [ 974s] [536/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/sender_report.o [ 974s] [537/2033] CC obj/modules/audio_coding/isac_c/encode.o [ 974s] [538/2033] CXX obj/modules/audio_coding/neteq/random_vector.o [ 974s] [539/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/forward_error_correction_internal.o [ 974s] [540/2033] CC obj/modules/audio_coding/isac_c/isac.o [ 974s] [541/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/sdes.o [ 974s] [542/2033] CXX obj/media/rtc_media_base/rtp_data_engine.o [ 974s] [543/2033] CXX obj/modules/audio_coding/isac/audio_decoder_isac.o [ 974s] [544/2033] CC obj/modules/audio_coding/isac_vad/pitch_filter.o [ 974s] [545/2033] CXX obj/modules/audio_coding/neteq/expand_uma_logger.o [ 974s] [546/2033] CC obj/modules/audio_coding/isac_vad/filter_functions.o [ 974s] [547/2033] CC obj/modules/audio_coding/isac_c/entropy_coding.o [ 974s] [548/2033] CXX obj/modules/audio_coding/isac/audio_encoder_isac.o [ 974s] [549/2033] CXX obj/modules/audio_coding/neteq/post_decode_vad.o [ 974s] [550/2033] CXX obj/modules/audio_coding/neteq/delay_peak_detector.o [ 974s] [551/2033] CXX obj/modules/audio_coding/neteq/sync_buffer.o [ 974s] [552/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/dlrr.o [ 974s] [553/2033] CXX obj/modules/audio_coding/neteq/merge.o [ 974s] [554/2033] CXX obj/media/rtc_audio_video/webrtc_media_engine.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../media/engine/webrtc_media_engine.h:19, [ 974s] from ../../../../media/engine/webrtc_media_engine.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:28, [ 974s] from ../../../../media/engine/webrtc_media_engine.cc:21: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [555/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/extended_jitter_report.o [ 974s] [556/2033] CC obj/modules/audio_coding/isac_vad/isac_vad.o [ 974s] [557/2033] CXX obj/modules/audio_coding/neteq/packet.o [ 974s] [558/2033] CXX obj/media/rtc_data/sctp_transport.o [ 974s] [559/2033] CXX obj/rtc_base/synchronization/rw_lock_wrapper/rw_lock_wrapper.o [ 974s] [560/2033] CXX obj/rtc_base/network/sent_packet/sent_packet.o [ 974s] [561/2033] CXX obj/modules/audio_coding/neteq/preemptive_expand.o [ 974s] [562/2033] CXX obj/modules/audio_coding/neteq/histogram.o [ 974s] [563/2033] CXX obj/rtc_base/synchronization/rw_lock_wrapper/rw_lock_posix.o [ 974s] [564/2033] CXX obj/modules/audio_coding/neteq/time_stretch.o [ 974s] [565/2033] CC obj/modules/audio_coding/pcm16b_c/pcm16b.o [ 974s] [566/2033] CXX obj/modules/video_coding/video_coding/codec_timer.o [ 974s] [567/2033] CXX obj/modules/audio_coding/neteq/tick_timer.o [ 974s] [568/2033] CC obj/system_wrappers/cpu_features_linux/cpu_features_linux.o [ 974s] [569/2033] CXX obj/modules/audio_coding/neteq/audio_multi_vector.o [ 974s] [570/2033] CXX obj/system_wrappers/event_wrapper/event.o [ 974s] [571/2033] STAMP obj/modules/audio_coding/pcm16b_c.stamp [ 974s] [572/2033] CXX obj/modules/audio_coding/neteq/normal.o [ 974s] [573/2033] CXX obj/modules/audio_coding/neteq/red_payload_splitter.o [ 974s] [574/2033] CXX obj/modules/audio_coding/neteq/timestamp_scaler.o [ 974s] [575/2033] CC obj/modules/audio_coding/isac_vad/pitch_estimator.o [ 974s] [576/2033] CXX obj/call/call/call.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../call/call.cc:27: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../video/video_receive_stream.h:23, [ 974s] from ../../../../call/call.cc:66: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/rtp_payload_params.h:21, [ 974s] from ../../../../call/rtp_video_sender.h:25, [ 974s] from ../../../../call/rtp_transport_controller_send.h:24, [ 974s] from ../../../../call/call.cc:31: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../call/call.cc:20: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../call/rtp_payload_params.h:21, [ 974s] from ../../../../call/rtp_video_sender.h:25, [ 974s] from ../../../../call/rtp_transport_controller_send.h:24, [ 974s] from ../../../../call/call.cc:31: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [577/2033] CXX obj/modules/audio_coding/neteq/neteq.o [ 974s] [578/2033] CXX obj/modules/audio_coding/neteq/nack_tracker.o [ 974s] [579/2033] CXX obj/modules/audio_coding/neteq/packet_buffer.o [ 974s] [580/2033] CXX obj/modules/audio_device/audio_device_impl/alsasymboltable_linux.o [ 974s] [581/2033] CXX obj/system_wrappers/field_trial/field_trial.o [ 974s] [582/2033] CXX obj/modules/audio_coding/neteq/accelerate.o [ 974s] [583/2033] CXX obj/modules/audio_coding/neteq/statistics_calculator.o [ 974s] [584/2033] CXX obj/modules/audio_coding/neteq/dtmf_tone_generator.o [ 974s] [585/2033] CXX obj/modules/audio_coding/legacy_encoded_audio_frame/legacy_encoded_audio_frame.o [ 974s] [586/2033] CXX obj/rtc_base/synchronization/sequence_checker/sequence_checker.o [ 974s] [587/2033] CXX obj/modules/audio_coding/pcm16b/audio_encoder_pcm16b.o [ 974s] [588/2033] CXX obj/modules/audio_coding/neteq/dtmf_buffer.o [ 974s] [589/2033] CXX obj/modules/audio_device/audio_device_impl/pulseaudiosymboltable_linux.o [ 974s] [590/2033] CXX obj/modules/audio_coding/pcm16b/audio_decoder_pcm16b.o [ 974s] [591/2033] CXX obj/modules/audio_coding/pcm16b/pcm16b_common.o [ 974s] [592/2033] CXX obj/modules/audio_coding/neteq/delay_manager.o [ 974s] [593/2033] CXX obj/modules/audio_coding/neteq/audio_vector.o [ 974s] [594/2033] CXX obj/modules/audio_device/audio_device_impl/audio_device_dummy.o [ 974s] [595/2033] CXX obj/modules/audio_coding/neteq/decision_logic.o [ 974s] [596/2033] CXX obj/modules/audio_coding/neteq/comfort_noise.o [ 974s] [597/2033] CXX obj/rtc_base/task_utils/repeating_task/repeating_task.o [ 974s] [598/2033] CXX obj/modules/audio_coding/webrtc_opus/audio_decoder_opus.o [ 974s] [599/2033] CXX obj/modules/audio_device/audio_device_buffer/fine_audio_buffer.o [ 974s] [600/2033] CXX obj/modules/audio_coding/neteq/expand.o [ 974s] [601/2033] CXX obj/modules/audio_device/audio_device_impl/latebindingsymboltable_linux.o [ 974s] [602/2033] CXX obj/modules/audio_coding/neteq/decoder_database.o [ 974s] [603/2033] CXX obj/modules/audio_coding/webrtc_multiopus/audio_decoder_multi_channel_opus_impl.o [ 974s] [604/2033] CXX obj/modules/audio_device/audio_device_impl/audio_device_data_observer.o [ 974s] [605/2033] CXX obj/modules/audio_mixer/audio_frame_manipulator/audio_frame_manipulator.o [ 974s] [606/2033] CXX obj/modules/audio_processing/audio_processing/circular_buffer.o [ 974s] [607/2033] CXX obj/modules/audio_processing/audio_processing/mean_variance_estimator.o [ 974s] [608/2033] CXX obj/modules/audio_device/audio_device_generic/audio_device_generic.o [ 974s] [609/2033] CXX obj/modules/audio_processing/api/audio_processing.o [ 974s] [610/2033] CXX obj/modules/audio_device/audio_device_impl/file_audio_device.o [ 974s] [611/2033] CXX obj/modules/audio_mixer/audio_mixer_impl/frame_combiner.o [ 974s] [612/2033] CXX obj/modules/audio_processing/audio_processing/moving_max.o [ 974s] [613/2033] CXX obj/modules/audio_device/audio_device_impl/file_audio_device_factory.o [ 974s] [614/2033] CXX obj/modules/audio_device/audio_device_buffer/audio_device_buffer.o [ 974s] [615/2033] CXX obj/pc/peerconnection/data_channel.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/data_channel.h:23, [ 974s] from ../../../../pc/data_channel.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [616/2033] CXX obj/modules/audio_processing/apm_logging/apm_data_dumper.o [ 974s] [617/2033] CXX obj/modules/audio_processing/audio_buffer/three_band_filter_bank.o [ 974s] [618/2033] CXX obj/modules/audio_device/audio_device_impl/audio_mixer_manager_alsa_linux.o [ 974s] [619/2033] CXX obj/modules/audio_mixer/audio_mixer_impl/audio_mixer_impl.o [ 974s] [620/2033] CXX obj/modules/audio_coding/webrtc_multiopus/audio_encoder_multi_channel_opus_impl.o [ 974s] [621/2033] CXX obj/modules/audio_processing/audio_processing/normalized_covariance_estimator.o [ 974s] [622/2033] CXX obj/modules/audio_processing/audio_buffer/splitting_filter.o [ 974s] [623/2033] CXX obj/modules/audio_device/audio_device_impl/audio_mixer_manager_pulse_linux.o [ 974s] [624/2033] CXX obj/modules/audio_processing/audio_processing/typing_detection.o [ 974s] [625/2033] CXX obj/modules/audio_mixer/audio_mixer_impl/default_output_rate_calculator.o [ 974s] [626/2033] CC obj/modules/audio_processing/audio_processing_c/noise_suppression.o [ 974s] [627/2033] CXX obj/video/video/quality_limitation_reason_tracker.o [ 974s] [628/2033] CXX obj/modules/audio_processing/audio_processing/echo_control_mobile_impl.o [ 974s] [629/2033] CXX obj/modules/audio_device/audio_device_impl/audio_device_alsa_linux.o [ 974s] [630/2033] CXX obj/modules/audio_processing/audio_processing/aec_dump.o [ 974s] [631/2033] CXX obj/modules/audio_processing/audio_processing/echo_cancellation_impl.o [ 974s] [632/2033] CXX obj/modules/audio_processing/aec3/aec3/echo_path_variability.o [ 974s] [633/2033] CXX obj/modules/audio_device/audio_device_impl/audio_device_impl.o [ 974s] [634/2033] CXX obj/modules/audio_processing/audio_buffer/audio_buffer.o [ 974s] [635/2033] CXX obj/video/video/call_stats.o [ 974s] [636/2033] CXX obj/modules/audio_device/audio_device_impl/test_audio_device.o [ 974s] [637/2033] CXX obj/modules/audio_processing/audio_processing/moving_moments.o [ 974s] [638/2033] CXX obj/modules/audio_processing/audio_processing/level_estimator_impl.o [ 974s] [639/2033] CXX obj/modules/audio_processing/audio_processing/rms_level.o [ 974s] [640/2033] CXX obj/modules/audio_device/audio_device_impl/audio_device_pulse_linux.o [ 974s] In file included from /usr/include/string.h:494, [ 974s] from ../../../../modules/audio_device/linux/audio_device_pulse_linux.cc:11: [ 974s] In function 'char* strncpy(char*, const char*, size_t)', [ 974s] inlined from 'int32_t webrtc::AudioDeviceLinuxPulse::GetDefaultDeviceInfo(bool, char*, uint16_t&)' at ../../../../modules/audio_device/linux/audio_device_pulse_linux.cc:1528:12: [ 974s] /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] [ 974s] 106 | return __builtin___strncpy_chk (__dest, __src, __len, __bos (__dest)); [ 974s] | ~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 974s] [641/2033] CXX obj/modules/audio_processing/audio_processing_statistics/audio_processing_statistics.o [ 974s] [642/2033] CXX obj/modules/audio_processing/audio_processing/low_cut_filter.o [ 974s] [643/2033] CXX obj/modules/audio_processing/audio_processing/gain_control_for_experimental_agc.o [ 974s] [644/2033] CXX obj/modules/audio_processing/audio_processing/wpd_node.o [ 974s] [645/2033] CXX obj/modules/audio_coding/webrtc_opus/audio_encoder_opus.o [ 974s] [646/2033] CXX obj/modules/audio_processing/audio_processing/noise_suppression_impl.o [ 974s] [647/2033] CXX obj/modules/audio_processing/audio_processing/gain_controller2.o [ 974s] [648/2033] STAMP obj/modules/audio_processing/gain_control_interface.stamp [ 974s] [649/2033] CXX obj/modules/audio_processing/audio_processing/wpd_tree.o [ 974s] [650/2033] CXX obj/modules/audio_processing/aec3/aec3/downsampled_render_buffer.o [ 974s] [651/2033] CXX obj/modules/audio_processing/audio_processing/gain_control_impl.o [ 974s] [652/2033] CXX obj/modules/audio_coding/neteq/neteq_impl.o [ 974s] [653/2033] CXX obj/modules/audio_processing/aec3/aec3/decimator.o [ 974s] [654/2033] CXX obj/modules/audio_processing/aec3/aec3/clockdrift_detector.o [ 974s] [655/2033] CXX obj/video/video/encoder_rtcp_feedback.o [ 974s] [656/2033] CXX obj/modules/audio_processing/aec3/aec3/aec3_common.o [ 974s] [657/2033] CXX obj/modules/audio_processing/audio_processing/transient_detector.o [ 974s] [658/2033] CXX obj/modules/audio_processing/aec/aec/aec_resampler.o [ 974s] [659/2033] CXX obj/modules/audio_processing/aec3/aec3/echo_path_delay_estimator.o [ 974s] [660/2033] CXX obj/modules/audio_processing/aec3/aec3/block_processor_metrics.o [ 974s] [661/2033] CXX obj/modules/audio_processing/aec3/aec3/comfort_noise_generator.o [ 974s] [662/2033] CXX obj/modules/audio_processing/audio_processing/residual_echo_detector.o [ 974s] [663/2033] CXX obj/modules/audio_processing/config/config.o [ 974s] [664/2033] CXX obj/modules/audio_processing/aec3/aec3/echo_audibility.o [ 974s] [665/2033] CXX obj/modules/audio_processing/audio_processing/voice_detection_impl.o [ 974s] [666/2033] CXX obj/modules/audio_processing/aec3/aec3/block_framer.o [ 974s] [667/2033] CXX obj/modules/audio_processing/aec/aec_core/aec_core_sse2.o [ 974s] [668/2033] CXX obj/modules/audio_processing/audio_processing/transient_suppressor.o [ 974s] [669/2033] CXX obj/modules/audio_processing/noise_suppression_proxy/noise_suppression_proxy.o [ 974s] [670/2033] CXX obj/modules/audio_processing/aec3/aec3/erl_estimator.o [ 974s] [671/2033] CXX obj/modules/audio_processing/aec/aec/echo_cancellation.o [ 974s] [672/2033] CXX obj/modules/audio_processing/aec3/aec3/moving_average.o [ 974s] [673/2033] CXX obj/modules/audio_processing/aec3/aec3/frame_blocker.o [ 974s] [674/2033] CXX obj/modules/audio_processing/aec3/aec3/cascaded_biquad_filter.o [ 974s] [675/2033] CXX obj/modules/audio_processing/aec3/aec3/fft_buffer.o [ 974s] [676/2033] CXX obj/modules/audio_processing/aec3/aec3/fullband_erle_estimator.o [ 974s] [677/2033] CXX obj/modules/audio_processing/gain_control_config_proxy/gain_control_config_proxy.o [ 974s] ../../../../modules/audio_processing/gain_control_config_proxy.cc: In function 'webrtc::AudioProcessing::Config::GainController1::Mode webrtc::{anonymous}::InterfaceModeToConfigMode(webrtc::GainControl::Mode)': [ 974s] ../../../../modules/audio_processing/gain_control_config_proxy.cc:27:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 27 | } [ 974s] | ^ [ 974s] [678/2033] CXX obj/modules/audio_processing/aec3/aec3/main_filter_update_gain.o [ 974s] [679/2033] CXX obj/modules/audio_processing/aec3/aec3/erle_estimator.o [ 974s] [680/2033] CXX obj/modules/audio_processing/aec3/aec3/adaptive_fir_filter.o [ 974s] [681/2033] CXX obj/modules/audio_processing/aec3/aec3/echo_remover_metrics.o [ 974s] [682/2033] CXX obj/modules/audio_processing/aec3/aec3/matrix_buffer.o [ 974s] [683/2033] CXX obj/modules/audio_processing/aec3/aec3/block_delay_buffer.o [ 974s] [684/2033] CXX obj/modules/audio_processing/aec3/aec3/render_buffer.o [ 974s] [685/2033] CXX obj/modules/audio_processing/aec3/aec3/block_processor.o [ 974s] [686/2033] CXX obj/modules/audio_processing/aec3/aec3/render_reverb_model.o [ 974s] [687/2033] CXX obj/modules/audio_processing/aec3/aec3/matched_filter_lag_aggregator.o [ 974s] [688/2033] CXX obj/modules/audio_processing/aec3/aec3/filter_analyzer.o [ 974s] [689/2033] CXX obj/modules/audio_processing/aec3/aec3/render_delay_controller_metrics.o [ 974s] [690/2033] CXX obj/modules/audio_processing/agc/level_estimation/utility.o [ 974s] [691/2033] CXX obj/modules/audio_processing/aec3/aec3/reverb_model.o [ 974s] [692/2033] CXX obj/modules/audio_processing/aec3/aec3/render_delay_controller.o [ 974s] [693/2033] CXX obj/modules/audio_processing/aec3/aec3/reverb_model_fallback.o [ 974s] [694/2033] CXX obj/modules/audio_processing/aec3/aec3/residual_echo_estimator.o [ 974s] [695/2033] CXX obj/modules/audio_processing/aec3/aec3/matched_filter.o [ 974s] [696/2033] CXX obj/modules/audio_processing/aec3/aec3/echo_canceller3.o [ 974s] [697/2033] CXX obj/modules/audio_processing/aec3/aec3/reverb_model_estimator.o [ 974s] [698/2033] CXX obj/modules/audio_processing/aec3/aec3/render_signal_analyzer.o [ 974s] [699/2033] CXX obj/modules/audio_processing/aec3/aec3/echo_remover.o [ 974s] [700/2033] CXX obj/modules/audio_processing/aec3/aec3/subtractor_output_analyzer.o [ 974s] [701/2033] CXX obj/modules/audio_processing/aec3/aec3/reverb_decay_estimator.o [ 974s] [702/2033] CXX obj/modules/audio_processing/agc2/biquad_filter/biquad_filter.o [ 974s] [703/2033] CXX obj/modules/audio_processing/aec3/aec3/aec3_fft.o [ 974s] [704/2033] CXX obj/modules/audio_processing/aec3/aec3/reverb_frequency_response.o [ 974s] [705/2033] CXX obj/modules/audio_processing/aec3/aec3/shadow_filter_update_gain.o [ 974s] [706/2033] CXX obj/modules/audio_processing/aec/aec_core/aec_core.o [ 974s] [707/2033] CXX obj/modules/audio_processing/aec3/aec3/render_delay_buffer.o [ 974s] [708/2033] CC obj/modules/audio_processing/agc/agc_legacy_c/analog_agc.o [ 974s] [709/2033] CXX obj/modules/audio_processing/aec3/aec3/vector_buffer.o [ 974s] [710/2033] CXX obj/modules/audio_processing/agc/level_estimation/agc.o [ 974s] [711/2033] CXX obj/modules/audio_processing/aecm/aecm_core/aecm_core.o [ 974s] [712/2033] CC obj/modules/audio_processing/agc/agc_legacy_c/digital_agc.o [ 974s] [713/2033] CXX obj/modules/audio_processing/aec3/aec3/subtractor_output.o [ 974s] [714/2033] CXX obj/modules/audio_processing/agc/level_estimation/loudness_histogram.o [ 974s] [715/2033] CXX obj/modules/audio_processing/aec3/aec3/api_call_jitter_metrics.o [ 974s] [716/2033] CXX obj/modules/audio_processing/agc2/common/agc2_common.o [ 974s] [717/2033] CXX obj/modules/audio_processing/aec3/aec3/stationarity_estimator.o [ 974s] [718/2033] CXX obj/modules/audio_processing/aec3/aec3/subband_erle_estimator.o [ 974s] [719/2033] CXX obj/modules/audio_processing/aec3/aec3/suppression_filter.o [ 974s] [720/2033] CXX obj/modules/audio_processing/agc2/fixed_digital/fixed_digital_level_estimator.o [ 974s] [721/2033] CXX obj/modules/audio_processing/aec3/aec3/signal_dependent_erle_estimator.o [ 974s] [722/2033] CXX obj/modules/audio_processing/vad/vad/pole_zero_filter.o [ 974s] [723/2033] CXX obj/modules/audio_processing/agc2/adaptive_digital/adaptive_digital_gain_applier.o [ 974s] [724/2033] CXX obj/modules/audio_processing/agc2/gain_applier/gain_applier.o [ 974s] [725/2033] CXX obj/modules/audio_processing/agc2/adaptive_digital/adaptive_mode_level_estimator.o [ 974s] [726/2033] CXX obj/modules/audio_processing/agc2/noise_level_estimator/noise_spectrum_estimator.o [ 974s] [727/2033] CXX obj/modules/audio_processing/agc2/fixed_digital/interpolated_gain_curve.o [ 974s] [728/2033] CXX obj/modules/audio_processing/aec3/aec3/aec_state.o [ 974s] [729/2033] CXX obj/modules/audio_processing/agc2/adaptive_digital/saturation_protector.o [ 974s] [730/2033] CXX obj/modules/audio_processing/vad/vad/pitch_internal.o [ 974s] [731/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/auto_correlation.o [ 974s] [732/2033] CXX obj/modules/audio_processing/aec3/aec3/subtractor.o [ 974s] [733/2033] CXX obj/modules/audio_processing/vad/vad/gmm.o [ 974s] [734/2033] CXX obj/modules/audio_processing/agc2/adaptive_digital/adaptive_agc.o [ 974s] [735/2033] CXX obj/modules/audio_processing/utility/block_mean_calculator/block_mean_calculator.o [ 974s] [736/2033] CXX obj/modules/audio_processing/utility/ooura_fft/ooura_fft_sse2.o [ 974s] [737/2033] CXX obj/modules/audio_processing/aec3/aec3/suppression_gain.o [ 974s] [738/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/pitch_search_internal.o [ 974s] [739/2033] CXX obj/modules/audio_processing/utility/ooura_fft/ooura_fft.o [ 974s] [740/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/pitch_search.o [ 974s] [741/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/lp_residual.o [ 974s] [742/2033] CXX obj/modules/audio_processing/utility/legacy_delay_estimator/delay_estimator.o [ 974s] [743/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/rnn.o [ 974s] [744/2033] CXX obj/modules/audio_processing/vad/vad/pitch_based_vad.o [ 974s] [745/2033] CXX obj/modules/audio_processing/agc2/noise_level_estimator/signal_classifier.o [ 974s] [746/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/features_extraction.o [ 974s] [747/2033] CXX obj/modules/audio_processing/agc2/rnn_vad_with_level/vad_with_level.o [ 974s] [748/2033] CXX obj/media/rtc_audio_video/webrtc_voice_engine.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:24, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:28, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../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&)': [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:725:30: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 725 | config_.crypto_options = crypto_options; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:22, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:24, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'webrtc::RTCError cricket::WebRtcVoiceMediaChannel::WebRtcAudioSendStream::SetRtpParameters(const webrtc::RtpParameters&)': [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:924:23: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 924 | rtp_parameters_ = parameters; [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h: In member function 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)': [ 974s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 622 | struct RTC_EXPORT RtpParameters { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 974s] 589 | RtcpParameters(const RtcpParameters&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'webrtc::RTCError cricket::WebRtcVoiceMediaChannel::WebRtcAudioSendStream::SetRtpParameters(const webrtc::RtpParameters&)': [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:924:23: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 974s] 924 | rtp_parameters_ = parameters; [ 974s] | ^~~~~~~~~~ [ 974s] ../../../../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&)': [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:1089:30: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 1089 | config_.crypto_options = crypto_options; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:22, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:24, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'virtual webrtc::RtpParameters cricket::WebRtcVoiceMediaChannel::GetRtpReceiveParameters(uint32_t) const': [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:1449:47: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 1449 | rtp_params = it->second->GetRtpParameters(); [ 974s] | ^ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_voice_engine.cc: In member function 'virtual bool cricket::WebRtcVoiceMediaChannel::GetStats(cricket::VoiceMediaInfo*)': [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:2216:34: warning: implicitly-declared 'webrtc::ANAStats& webrtc::ANAStats::operator=(const webrtc::ANAStats&)' is deprecated [-Wdeprecated-copy] [ 974s] 2216 | sinfo.ana_statistics = stats.ana_statistics; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/audio_codecs/audio_encoder_factory.h:19, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:19, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/audio_codecs/audio_encoder.h:31:3: note: because 'webrtc::ANAStats' has user-provided 'webrtc::ANAStats::ANAStats(const webrtc::ANAStats&)' [ 974s] 31 | ANAStats(const ANAStats&); [ 974s] | ^~~~~~~~ [ 974s] ../../../../media/engine/webrtc_voice_engine.cc:2217:34: warning: implicitly-declared 'webrtc::AudioProcessingStats& webrtc::AudioProcessingStats::operator=(const webrtc::AudioProcessingStats&)' is deprecated [-Wdeprecated-copy] [ 974s] 2217 | sinfo.apm_statistics = stats.apm_statistics; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/media_stream_interface.h:31, [ 974s] from ../../../../api/rtp_receiver_interface.h:22, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../modules/audio_processing/include/audio_processing_statistics.h:24:3: note: because 'webrtc::AudioProcessingStats' has user-provided 'webrtc::AudioProcessingStats::AudioProcessingStats(const webrtc::AudioProcessingStats&)' [ 974s] 24 | AudioProcessingStats(const AudioProcessingStats& other); [ 974s] | ^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/audio_codecs/audio_encoder_factory.h:17, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:19, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/audio_codecs/audio_encoder_factory.h:17, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:19, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_voice_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [749/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/spectral_features_internal.o [ 974s] [750/2033] CXX obj/modules/audio_processing/agc2/noise_level_estimator/noise_level_estimator.o [ 974s] [751/2033] CXX obj/modules/audio_processing/agc2/rnn_vad/rnn_vad/spectral_features.o [ 974s] [752/2033] CXX obj/modules/audio_processing/vad/vad/standalone_vad.o [ 974s] [753/2033] CXX obj/modules/audio_processing/vad/vad/vad_circular_buffer.o [ 974s] [754/2033] CXX obj/modules/audio_processing/agc/agc/agc_manager_direct.o [ 974s] [755/2033] CXX obj/modules/audio_processing/utility/legacy_delay_estimator/delay_estimator_wrapper.o [ 974s] [756/2033] CXX obj/modules/audio_processing/utility/pffft_wrapper/pffft_wrapper.o [ 974s] [757/2033] CXX obj/video/video_stream_encoder_impl/frame_encode_metadata_writer.o [ 974s] [758/2033] CXX obj/modules/audio_processing/vad/vad/voice_activity_detector.o [ 974s] [759/2033] CXX obj/video/video_stream_encoder_impl/encoder_bitrate_adjuster.o [ 974s] [760/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/fec_private_tables_random.o [ 974s] [761/2033] CXX obj/modules/pacing/interval_budget/interval_budget.o [ 974s] [762/2033] CXX obj/modules/audio_processing/vad/vad/vad_audio_proc.o [ 974s] [763/2033] CXX obj/modules/congestion_controller/goog_cc/link_capacity_estimator/link_capacity_estimator.o [ 974s] [764/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/dtmf_queue.o [ 974s] [765/2033] CXX obj/modules/bitrate_controller/bitrate_controller/bitrate_controller.o [ 974s] [766/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/packet_loss_stats.o [ 974s] [767/2033] CXX obj/modules/congestion_controller/goog_cc/estimators/median_slope_estimator.o [ 974s] [768/2033] CXX obj/modules/audio_processing/audio_processing/audio_processing_impl.o [ 974s] ../../../../modules/audio_processing/audio_processing_impl.cc: In member function 'virtual webrtc::AudioProcessing::Config webrtc::AudioProcessingImpl::GetConfig() const': [ 974s] ../../../../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] [ 974s] 1784 | return config_; [ 974s] | ^~~~~~~ [ 974s] In file included from ../../../../modules/audio_processing/audio_buffer.h:21, [ 974s] from ../../../../modules/audio_processing/audio_processing_impl.h:19, [ 974s] from ../../../../modules/audio_processing/audio_processing_impl.cc:11: [ 974s] ../../../../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&)' [ 974s] 367 | Config& operator=(const Config& config) { [ 974s] | ^~~~~~~~ [ 974s] ../../../../modules/audio_processing/audio_processing_impl.cc: In function 'webrtc::NoiseSuppression::Level webrtc::{anonymous}::NsConfigLevelToInterfaceLevel(webrtc::AudioProcessing::Config::NoiseSuppression::Level)': [ 974s] ../../../../modules/audio_processing/audio_processing_impl.cc:126:5: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 126 | default: [ 974s] | ^~~~~~~ [ 974s] ../../../../modules/audio_processing/audio_processing_impl.cc: In function 'webrtc::GainControl::Mode webrtc::{anonymous}::Agc1ConfigModeToInterfaceMode(webrtc::AudioProcessing::Config::GainController1::Mode)': [ 974s] ../../../../modules/audio_processing/audio_processing_impl.cc:142:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 142 | } [ 974s] | ^ [ 974s] [769/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/sum_squares_sse2.o [ 974s] [770/2033] CXX obj/modules/congestion_controller/goog_cc/goog_cc/overuse_predictor.o [ 974s] [771/2033] CXX obj/modules/congestion_controller/goog_cc/estimators/trendline_estimator.o [ 974s] [772/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/vp9_highbd_iht8x8_add_sse4.o [ 974s] [773/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/highbd_idct4x4_add_sse4.o [ 974s] [774/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/remote_ntp_time_estimator.o [ 974s] [775/2033] CXX obj/modules/congestion_controller/congestion_controller/receive_side_congestion_controller.o [ 974s] [776/2033] CXX obj/modules/congestion_controller/rtp/transport_feedback/send_time_history.o [ 974s] [777/2033] CXX obj/modules/congestion_controller/goog_cc/delay_based_bwe/delay_based_bwe.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/delay_based_bwe.cc:22: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [778/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/aimd_rate_control.o [ 974s] [779/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/highbd_idct8x8_add_sse4.o [ 974s] [780/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/quantize_sse4.o [ 974s] [781/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/vp9_highbd_iht4x4_add_sse4.o [ 974s] [782/2033] CXX obj/modules/congestion_controller/rtp/control_handler/control_handler.o [ 974s] [783/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/flexfec_header_reader_writer.o [ 974s] [784/2033] CXX obj/modules/congestion_controller/transport_feedback/transport_feedback_adapter.o [ 974s] [785/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/variance_sse2.o [ 974s] [786/2033] CXX obj/modules/congestion_controller/goog_cc/estimators/probe_bitrate_estimator.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/probe_bitrate_estimator.cc:18: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [787/2033] CXX obj/modules/bitrate_controller/bitrate_controller/loss_based_bandwidth_estimation.o [ 974s] [788/2033] CXX obj/video/video_stream_encoder_impl/video_stream_encoder.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:30, [ 974s] from ../../../../video/video_stream_encoder.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:30, [ 974s] from ../../../../video/video_stream_encoder.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] ../../../../video/video_stream_encoder.cc: In member function 'void webrtc::VideoStreamEncoder::VideoSourceProxy::SetSource(rtc::VideoSourceInterface*, const webrtc::DegradationPreference&)': [ 974s] ../../../../video/video_stream_encoder.cc:216:42: warning: implicitly-declared 'rtc::VideoSinkWants& rtc::VideoSinkWants::operator=(const rtc::VideoSinkWants&)' is deprecated [-Wdeprecated-copy] [ 974s] 216 | wants = GetActiveSinkWantsInternal(); [ 974s] | ^ [ 974s] In file included from ../../../../api/video/video_stream_encoder_interface.h:20, [ 974s] from ../../../../video/video_stream_encoder.h:23, [ 974s] from ../../../../video/video_stream_encoder.cc:11: [ 974s] ../../../../api/video/video_source_interface.h:26:3: note: because 'rtc::VideoSinkWants' has user-provided 'rtc::VideoSinkWants::VideoSinkWants(const rtc::VideoSinkWants&)' [ 974s] 26 | VideoSinkWants(const VideoSinkWants&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] ../../../../video/video_stream_encoder.cc: In member function 'void webrtc::VideoStreamEncoder::EncodeVideoFrame(const webrtc::VideoFrame&, int64_t)': [ 974s] ../../../../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] [ 974s] 1294 | encoder_info_ = info; [ 974s] | ^~~~ [ 974s] In file included from ../../../../api/video/video_stream_encoder_interface.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:23, [ 974s] from ../../../../video/video_stream_encoder.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:130:5: note: because 'webrtc::VideoEncoder::EncoderInfo' has user-provided 'webrtc::VideoEncoder::EncoderInfo::EncoderInfo(const webrtc::VideoEncoder::EncoderInfo&)' [ 974s] 130 | EncoderInfo(const EncoderInfo&); [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/video_codecs/video_encoder.h: In member function 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)': [ 974s] ../../../../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] [ 974s] 125 | struct EncoderInfo { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] ../../../../video/video_stream_encoder.cc: In member function 'void webrtc::VideoStreamEncoder::EncodeVideoFrame(const webrtc::VideoFrame&, int64_t)': [ 974s] ../../../../video/video_stream_encoder.cc:1294:19: note: synthesized method 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)' first required here [ 974s] 1294 | encoder_info_ = info; [ 974s] | ^~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/video_bitrate_allocation.h:20, [ 974s] from ../../../../api/video/video_bitrate_allocator.h:14, [ 974s] from ../../../../video/video_stream_encoder.h:20, [ 974s] from ../../../../video/video_stream_encoder.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_encoder.h:30, [ 974s] from ../../../../video/video_stream_encoder.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] ../../../../video/video_stream_encoder.cc: In member function 'virtual void webrtc::VideoStreamEncoder::AdaptDown(webrtc::AdaptationObserverInterface::AdaptReason)': [ 974s] ../../../../video/video_stream_encoder.cc:1682:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 974s] 1682 | RTC_FALLTHROUGH(); [ 974s] | ^ [ 974s] ../../../../video/video_stream_encoder.cc:1684:5: note: here [ 974s] 1684 | case DegradationPreference::MAINTAIN_FRAMERATE: { [ 974s] | ^~~~ [ 974s] ../../../../video/video_stream_encoder.cc: In member function 'virtual void webrtc::VideoStreamEncoder::AdaptUp(webrtc::AdaptationObserverInterface::AdaptReason)': [ 974s] ../../../../video/video_stream_encoder.cc:1764:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 974s] 1764 | RTC_FALLTHROUGH(); [ 974s] | ^ [ 974s] ../../../../video/video_stream_encoder.cc:1766:5: note: here [ 974s] 1766 | case DegradationPreference::MAINTAIN_FRAMERATE: { [ 974s] | ^~~~ [ 974s] [789/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/vp9_highbd_iht16x16_add_sse4.o [ 974s] [790/2033] CXX obj/modules/congestion_controller/rtp/transport_feedback/transport_feedback_adapter.o [ 974s] [791/2033] CXX obj/modules/congestion_controller/goog_cc/probe_controller/probe_controller.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/probe_controller.h:22, [ 974s] from ../../../../modules/congestion_controller/goog_cc/probe_controller.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [792/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/remote_bitrate_estimator_single_stream.o [ 974s] [793/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/remote_estimator_proxy.o [ 974s] [794/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_header_parser.o [ 974s] [795/2033] CXX obj/modules/pacing/pacing/round_robin_packet_queue.o [ 974s] [796/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_video_generic.o [ 974s] [797/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/highbd_idct16x16_add_sse4.o [ 974s] [798/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_vp8.o [ 974s] [799/2033] CXX obj/modules/bitrate_controller/bitrate_controller/send_side_bandwidth_estimation.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/bitrate_controller/send_side_bandwidth_estimation.cc:21: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [800/2033] CXX obj/modules/bitrate_controller/bitrate_controller/bitrate_controller_impl.o [ 974s] [801/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/flexfec_sender.o [ 974s] [802/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtcp_nack_stats.o [ 974s] [803/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_header_extension_size.o [ 974s] [804/2033] CXX obj/modules/remote_bitrate_estimator/remote_bitrate_estimator/remote_bitrate_estimator_abs_send_time.o [ 974s] [805/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse4_1/highbd_idct32x32_add_sse4.o [ 974s] [806/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_sse4_1.stamp [ 974s] [807/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/time_util.o [ 974s] [808/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_vp9.o [ 974s] [809/2033] CXX obj/modules/congestion_controller/goog_cc/goog_cc/goog_cc_network_control.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/congestion_controller/goog_cc/goog_cc_network_control.h:28, [ 974s] from ../../../../modules/congestion_controller/goog_cc/goog_cc_network_control.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [810/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/tmmbr_help.o [ 974s] [811/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sender_audio.o [ 974s] ../../../../modules/rtp_rtcp/source/rtp_sender_audio.cc: In function 'const char* webrtc::{anonymous}::FrameTypeToString(webrtc::AudioFrameType)': [ 974s] ../../../../modules/rtp_rtcp/source/rtp_sender_audio.cc:42:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 42 | } [ 974s] | ^ [ 974s] [812/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/bye.o [ 974s] [813/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/forward_error_correction.o [ 974s] [814/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/psfb.o [ 974s] [815/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/ulpfec_header_reader_writer.o [ 974s] [816/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sequence_number_map.o [ 974s] [817/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/playout_delay_oracle.o [ 974s] [818/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rapid_resync_request.o [ 974s] [819/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/compound_packet.o [ 974s] [820/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/flexfec_receiver.o [ 974s] [821/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtcp_packet.o [ 974s] [822/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/receiver_report.o [ 974s] [823/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format.o [ 974s] [824/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/fir.o [ 974s] [825/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/app.o [ 974s] [826/2033] CC obj/modules/third_party/g711/g711_3p/g711.o [ 974s] [827/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/ulpfec_receiver_impl.o [ 974s] [828/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/report_block_data.o [ 974s] [829/2033] STAMP obj/modules/third_party/g711/g711_3p.stamp [ 974s] [830/2033] STAMP obj/modules/audio_coding/g711_c.stamp [ 974s] [831/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/extended_reports.o [ 974s] [832/2033] CXX obj/media/rtc_audio_video/webrtc_video_engine.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../media/engine/webrtc_voice_engine.h:28, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:31: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'virtual webrtc::RtpParameters cricket::WebRtcVideoChannel::GetRtpReceiveParameters(uint32_t) const': [ 974s] ../../../../media/engine/webrtc_video_engine.cc:868:47: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 868 | rtp_params = it->second->GetRtpParameters(); [ 974s] | ^ [ 974s] In file included from ../../../../call/audio_receive_stream.h:24, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h: In member function 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)': [ 974s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 622 | struct RTC_EXPORT RtpParameters { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 974s] 589 | RtcpParameters(const RtcpParameters&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'virtual webrtc::RtpParameters cricket::WebRtcVideoChannel::GetRtpReceiveParameters(uint32_t) const': [ 974s] ../../../../media/engine/webrtc_video_engine.cc:868:47: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 974s] 868 | rtp_params = it->second->GetRtpParameters(); [ 974s] | ^ [ 974s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'virtual bool cricket::WebRtcVideoChannel::AddSendStream(const cricket::StreamParams&)': [ 974s] ../../../../media/engine/webrtc_video_engine.cc:1105:27: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 1105 | config.crypto_options = crypto_options_; [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:22, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'bool cricket::WebRtcVideoChannel::AddRecvStream(const cricket::StreamParams&, bool)': [ 974s] ../../../../media/engine/webrtc_video_engine.cc:1228:27: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 1228 | config.crypto_options = crypto_options_; [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:22, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../media/engine/webrtc_video_engine.cc: In member function 'webrtc::RTCError cricket::WebRtcVideoChannel::WebRtcVideoSendStream::SetRtpParameters(const webrtc::RtpParameters&)': [ 974s] ../../../../media/engine/webrtc_video_engine.cc:2006:21: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 2006 | rtp_parameters_ = new_parameters; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:24, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:24, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:20, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:24, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../media/engine/webrtc_video_engine.h:27, [ 974s] from ../../../../media/engine/webrtc_video_engine.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [833/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_utility.o [ 974s] [834/2033] CC obj/modules/third_party/g722/g722_3p/g722_decode.o [ 974s] [835/2033] CC obj/modules/third_party/fft/fft/fft.o [ 974s] [836/2033] STAMP obj/modules/third_party/fft/fft.stamp [ 974s] [837/2033] CC obj/modules/third_party/g722/g722_3p/g722_encode.o [ 974s] [838/2033] STAMP obj/modules/third_party/g722/g722_3p.stamp [ 974s] [839/2033] STAMP obj/modules/audio_coding/g722_c.stamp [ 974s] [840/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/tmmbn.o [ 974s] [841/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/tmmbr.o [ 974s] [842/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_generic_frame_descriptor.o [ 974s] [843/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/receive_statistics_impl.o [ 974s] [844/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/ulpfec_generator.o [ 974s] [845/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_rtcp_defines.o [ 974s] [846/2033] CXX obj/modules/video_capture/video_capture_internal_impl/video_capture_linux.o [ 974s] [847/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_packet_history.o [ 974s] [848/2033] CXX obj/modules/video_coding/video_coding/timestamp_map.o [ 974s] [849/2033] CXX obj/modules/rtp_rtcp/rtp_video_header/rtp_video_header.o [ 974s] [850/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_generic_frame_descriptor_extension.o [ 974s] [851/2033] CXX obj/modules/video_coding/packet/packet.o [ 974s] [852/2033] CXX obj/modules/video_coding/nack_module/histogram.o [ 974s] [853/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_format_h264.o [ 974s] ../../../../modules/rtp_rtcp/source/rtp_format_h264.cc: In member function 'bool webrtc::RtpDepacketizerH264::ProcessStapAOrSingleNalu(webrtc::RtpDepacketizer::ParsedPayload*, const uint8_t*)': [ 974s] ../../../../modules/rtp_rtcp/source/rtp_format_h264.cc:516:51: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 974s] 516 | parsed_payload->video_header().frame_type = [ 974s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^ [ 974s] 517 | VideoFrameType::kVideoFrameKey; [ 974s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../modules/rtp_rtcp/source/rtp_format_h264.cc:519:7: note: here [ 974s] 519 | case H264::NaluType::kSlice: { [ 974s] | ^~~~ [ 974s] [854/2033] CXX obj/modules/video_coding/nack_module/nack_module.o [ 974s] [855/2033] CXX obj/modules/video_capture/video_capture_module/video_capture_factory.o [ 974s] [856/2033] CXX obj/modules/video_coding/video_coding/rtt_filter.o [ 974s] [857/2033] CXX obj/modules/video_coding/video_coding_utility/frame_dropper.o [ 974s] [858/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_rtcp_impl.o [ 974s] [859/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_header_extension_map.o [ 974s] [860/2033] CXX obj/modules/utility/utility/process_thread_impl.o [ 974s] [861/2033] CXX obj/modules/video_coding/video_coding_utility/default_video_bitrate_allocator.o [ 974s] [862/2033] CXX obj/modules/video_coding/video_coding/inter_frame_delay.o [ 974s] [863/2033] CXX obj/modules/video_coding/video_coding_utility/framerate_controller.o [ 974s] [864/2033] CXX obj/modules/video_capture/video_capture_module/video_capture_impl.o [ 974s] [865/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_header_extensions.o [ 974s] [866/2033] CXX obj/modules/video_coding/video_coding/decoding_state.o [ 974s] In file included from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/decoding_state.cc:15: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/decoding_state.cc:15: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/decoding_state.cc:14: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/decoding_state.cc:15: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [867/2033] CXX obj/modules/video_coding/video_coding/timing.o [ 974s] [868/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sender_video.o [ 974s] [869/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_packet_received.o [ 974s] [870/2033] CXX obj/modules/video_capture/video_capture_internal_impl/device_info_linux.o [ 974s] [871/2033] CXX obj/modules/video_coding/video_codec_interface/video_codec_interface.o [ 974s] [872/2033] CXX obj/modules/video_coding/video_coding/session_info.o [ 974s] [873/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtp_sender.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/rtp_rtcp/source/rtp_sender.cc:22: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [874/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_packet_to_send.o [ 974s] [875/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/transport_feedback.o [ 974s] [876/2033] CXX obj/modules/video_coding/video_coding_utility/ivf_file_writer.o [ 974s] [877/2033] CXX obj/modules/video_processing/video_processing_sse2/denoiser_filter_sse2.o [ 974s] [878/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp_format/rtp_packet.o [ 974s] [879/2033] CXX obj/modules/video_coding/video_coding/jitter_estimator.o [ 974s] [880/2033] CXX obj/modules/video_coding/video_coding/video_coding_impl.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/video_frame.h:16, [ 974s] from ../../../../modules/video_coding/include/video_coding.h:15, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:14, [ 974s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../modules/video_coding/video_coding_impl.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [881/2033] CXX obj/p2p/rtc_p2p/basic_async_resolver_factory.o [ 974s] [882/2033] CXX obj/modules/video_coding/video_coding/fec_controller_default.o [ 974s] [883/2033] CXX obj/modules/video_coding/webrtc_vp9_helpers/svc_config.o [ 974s] [884/2033] CXX obj/modules/video_coding/video_coding/media_opt_util.o [ 974s] [885/2033] CXX obj/modules/video_coding/video_coding/video_codec_initializer.o [ 974s] [886/2033] CXX obj/modules/video_coding/video_coding/loss_notification_controller.o [ 974s] [887/2033] CXX obj/modules/video_coding/webrtc_h264/h264_encoder_impl.o [ 974s] [888/2033] CXX obj/modules/video_coding/video_coding/frame_buffer2.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/encoded_image.h:17, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../modules/video_coding/frame_buffer2.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [889/2033] CXX obj/modules/video_coding/video_coding/video_receiver.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_receiver.cc:20: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_receiver.cc:20: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/video_coding/video_receiver.cc:15: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_receiver.cc:20: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [890/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtcp_receiver.o [ 974s] [891/2033] CXX obj/modules/video_coding/video_coding/receiver.o [ 974s] In file included from ../../../../modules/video_coding/receiver.cc:21: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/receiver.cc:21: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/video_frame.h:16, [ 974s] from ../../../../modules/video_coding/include/video_coding.h:15, [ 974s] from ../../../../modules/video_coding/receiver.h:17, [ 974s] from ../../../../modules/video_coding/receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/receiver.cc:21: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [892/2033] CXX obj/modules/video_coding/webrtc_multiplex/multiplex_encoded_image_packer.o [ 974s] [893/2033] CXX obj/modules/video_coding/video_coding/frame_buffer.o [ 974s] In file included from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/video/encoded_image.h:17, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:16, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/frame_buffer.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [894/2033] CXX obj/modules/rtp_rtcp/rtp_rtcp/rtcp_sender.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:20: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc: In member function 'std::unique_ptr webrtc::RTCPSender::BuildLossNotification(const webrtc::RTCPSender::RtcpContext&)': [ 974s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:612:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 612 | return std::move(loss_notification); [ 974s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:612:19: note: remove 'std::move' call [ 974s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc: In member function 'std::unique_ptr webrtc::RTCPSender::BuildExtendedReports(const webrtc::RTCPSender::RtcpContext&)': [ 974s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:673:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 673 | return std::move(xr); [ 974s] | ~~~~~~~~~^~~~ [ 974s] ../../../../modules/rtp_rtcp/source/rtcp_sender.cc:673:19: note: remove 'std::move' call [ 974s] [895/2033] CXX obj/modules/video_coding/video_coding/frame_object.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/frame_object.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/frame_object.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../modules/video_coding/frame_object.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/frame_object.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [896/2033] CXX obj/modules/video_coding/video_coding/decoder_database.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:16, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [897/2033] CXX obj/p2p/rtc_p2p/port_interface.o [ 974s] [898/2033] CXX obj/modules/video_coding/video_coding/generic_decoder.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:16, [ 974s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/generic_decoder.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [899/2033] CXX obj/modules/video_coding/video_coding_utility/vp8_header_parser.o [ 974s] [900/2033] CXX obj/p2p/rtc_p2p/packet_transport_internal.o [ 974s] [901/2033] CXX obj/modules/video_coding/video_coding_utility/vp9_uncompressed_header_parser.o [ 974s] [902/2033] CXX obj/modules/video_coding/video_coding_utility/simulcast_utility.o [ 974s] [903/2033] CXX obj/p2p/rtc_p2p/pseudo_tcp.o [ 974s] [904/2033] CXX obj/modules/video_coding/video_coding/h264_sps_pps_tracker.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:20: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:20: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/h264_sps_pps_tracker.h:19, [ 974s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/h264_sps_pps_tracker.cc:20: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [905/2033] CXX obj/p2p/rtc_p2p/ice_credentials_iterator.o [ 974s] [906/2033] STAMP obj/pc/media_protocol_names.stamp [ 974s] [907/2033] CXX obj/modules/video_coding/video_coding/jitter_buffer.o [ 974s] In file included from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/jitter_buffer.cc:19: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/jitter_buffer.cc:19: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/jitter_buffer.h:20, [ 974s] from ../../../../modules/video_coding/jitter_buffer.cc:10: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/frame_buffer.h:20, [ 974s] from ../../../../modules/video_coding/jitter_buffer.cc:19: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [908/2033] CXX obj/p2p/rtc_p2p/p2p_constants.o [ 974s] [909/2033] CXX obj/modules/video_coding/webrtc_vp8/libvpx_interface.o [ 974s] [910/2033] CXX obj/modules/video_coding/webrtc_vp9/vp9_frame_buffer_pool.o [ 974s] [911/2033] CXX obj/p2p/rtc_p2p/regathering_controller.o [ 974s] [912/2033] CXX obj/modules/video_coding/video_coding/packet_buffer.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:19: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:19: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/packet_buffer.h:21, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../modules/video_coding/packet.h: In member function 'webrtc::VCMPacket& webrtc::VCMPacket::operator=(const webrtc::VCMPacket&)': [ 974s] ../../../../modules/video_coding/packet.h:34:7: warning: implicitly-declared 'webrtc::RTPVideoHeader& webrtc::RTPVideoHeader::operator=(const webrtc::RTPVideoHeader&)' is deprecated [-Wdeprecated-copy] [ 974s] 34 | class VCMPacket { [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../modules/include/module_common_types.h:22, [ 974s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../modules/rtp_rtcp/source/rtp_video_header.h:51:3: note: because 'webrtc::RTPVideoHeader' has user-provided 'webrtc::RTPVideoHeader::RTPVideoHeader(const webrtc::RTPVideoHeader&)' [ 974s] 51 | RTPVideoHeader(const RTPVideoHeader& other); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] ../../../../modules/video_coding/packet_buffer.cc: In member function 'virtual bool webrtc::video_coding::PacketBuffer::InsertPacket(webrtc::VCMPacket*)': [ 974s] ../../../../modules/video_coding/packet_buffer.cc:121:28: note: synthesized method 'webrtc::VCMPacket& webrtc::VCMPacket::operator=(const webrtc::VCMPacket&)' first required here [ 974s] 121 | data_buffer_[index] = *packet; [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:19: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/include/module_common_types.h:22, [ 974s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../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&)' [ 974s] 39 | GenericDescriptorInfo(const GenericDescriptorInfo& other); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/packet_buffer.h:20, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/packet.h:20, [ 974s] from ../../../../modules/video_coding/packet_buffer.h:21, [ 974s] from ../../../../modules/video_coding/packet_buffer.cc:11: [ 974s] ../../../../modules/rtp_rtcp/source/rtp_generic_frame_descriptor.h:32:3: note: because 'webrtc::RtpGenericFrameDescriptor' has user-provided 'webrtc::RtpGenericFrameDescriptor::RtpGenericFrameDescriptor(const webrtc::RtpGenericFrameDescriptor&)' [ 974s] 32 | RtpGenericFrameDescriptor(const RtpGenericFrameDescriptor&); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~~~~~ [ 974s] [913/2033] CXX obj/modules/video_coding/webrtc_vp8/libvpx_vp8_decoder.o [ 974s] [914/2033] CXX obj/p2p/rtc_p2p/stun.o [ 974s] [915/2033] CXX obj/modules/video_coding/webrtc_vp8_temporal_layers/temporal_layers_checker.o [ 974s] ../../../../modules/video_coding/codecs/vp8/temporal_layers_checker.cc: In static member function 'static std::unique_ptr webrtc::TemporalLayersChecker::CreateTemporalLayersChecker(webrtc::Vp8TemporalLayersType, int)': [ 974s] ../../../../modules/video_coding/codecs/vp8/temporal_layers_checker.cc:30:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 30 | } [ 974s] | ^ [ 974s] [916/2033] CXX obj/p2p/rtc_p2p/transport_description_factory.o [ 974s] [917/2033] CXX obj/p2p/rtc_p2p/transport_description.o [ 974s] [918/2033] CXX obj/modules/video_coding/video_coding_utility/quality_scaler.o [ 974s] [919/2033] CXX obj/p2p/rtc_p2p/connection_info.o [ 974s] [920/2033] CXX obj/p2p/rtc_p2p/datagram_dtls_adaptor.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../p2p/base/datagram_dtls_adaptor.cc:22: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [921/2033] CXX obj/p2p/rtc_p2p/dtls_transport_internal.o [ 974s] [922/2033] CXX obj/p2p/rtc_p2p/packet_socket_factory.o [ 974s] [923/2033] CXX obj/modules/video_coding/webrtc_vp9/vp9.o [ 974s] [924/2033] CXX obj/modules/video_coding/video_coding/rtp_frame_reference_finder.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:17: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:17: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/video_coding/rtp_frame_reference_finder.h:21, [ 974s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../modules/video_coding/rtp_frame_reference_finder.cc:17: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] ../../../../modules/video_coding/rtp_frame_reference_finder.cc: In member function 'void webrtc::video_coding::RtpFrameReferenceFinder::RetryStashedFrames()': [ 974s] ../../../../modules/video_coding/rtp_frame_reference_finder.cc:76:43: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 974s] 76 | frame_callback_->OnCompleteFrame(std::move(*frame_it)); [ 974s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../modules/video_coding/rtp_frame_reference_finder.cc:78:9: note: here [ 974s] 78 | case kDrop: [ 974s] | ^~~~ [ 974s] [925/2033] CXX obj/p2p/rtc_p2p/stun_request.o [ 974s] [926/2033] CXX obj/p2p/rtc_p2p/port_allocator.o [ 974s] ../../../../p2p/base/port_allocator.cc: In member function 'virtual void cricket::PortAllocatorSession::GetCandidateStatsFromReadyPorts(cricket::CandidateStatsList*) const': [ 974s] ../../../../p2p/base/port_allocator.cc:100:57: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 100 | use_hostname_address, filter_related_address); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/port.h:21, [ 974s] from ../../../../p2p/base/port_allocator.h:19, [ 974s] from ../../../../p2p/base/port_allocator.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] [927/2033] CXX obj/p2p/rtc_p2p/turn_port_factory.o [ 974s] ../../../../p2p/client/turn_port_factory.cc: In member function 'virtual std::unique_ptr cricket::TurnPortFactory::Create(const cricket::CreateRelayPortArgs&, rtc::AsyncPacketSocket*)': [ 974s] ../../../../p2p/client/turn_port_factory.cc:32:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 32 | return std::move(port); [ 974s] | ~~~~~~~~~^~~~~~ [ 974s] ../../../../p2p/client/turn_port_factory.cc:32:19: note: remove 'std::move' call [ 974s] ../../../../p2p/client/turn_port_factory.cc: In member function 'virtual std::unique_ptr cricket::TurnPortFactory::Create(const cricket::CreateRelayPortArgs&, int, int)': [ 974s] ../../../../p2p/client/turn_port_factory.cc:45:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 45 | return std::move(port); [ 974s] | ~~~~~~~~~^~~~~~ [ 974s] ../../../../p2p/client/turn_port_factory.cc:45:19: note: remove 'std::move' call [ 974s] [928/2033] CXX obj/modules/video_coding/webrtc_multiplex/multiplex_encoder_adapter.o [ 974s] ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc: In member function 'virtual int webrtc::MultiplexEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 974s] ../../../../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] [ 974s] 96 | encoder_info_ = EncoderInfo(); [ 974s] | ^ [ 974s] In file included from ../../../../modules/video_coding/codecs/multiplex/include/multiplex_encoder_adapter.h:19, [ 974s] from ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:130:5: note: because 'webrtc::VideoEncoder::EncoderInfo' has user-provided 'webrtc::VideoEncoder::EncoderInfo::EncoderInfo(const webrtc::VideoEncoder::EncoderInfo&)' [ 974s] 130 | EncoderInfo(const EncoderInfo&); [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/video_codecs/video_encoder.h: In member function 'webrtc::VideoEncoder::EncoderInfo& webrtc::VideoEncoder::EncoderInfo::operator=(const webrtc::VideoEncoder::EncoderInfo&)': [ 974s] ../../../../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] [ 974s] 125 | struct EncoderInfo { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] ../../../../modules/video_coding/codecs/multiplex/multiplex_encoder_adapter.cc: In member function 'virtual int webrtc::MultiplexEncoderAdapter::InitEncode(const webrtc::VideoCodec*, int, size_t)': [ 974s] ../../../../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 [ 974s] 96 | encoder_info_ = EncoderInfo(); [ 974s] | ^ [ 974s] [929/2033] CXX obj/modules/video_coding/webrtc_vp8/libvpx_vp8_encoder.o [ 974s] ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.cc: In member function 'virtual webrtc::VideoEncoder::EncoderInfo webrtc::LibvpxVp8Encoder::GetEncoderInfo() const': [ 974s] ../../../../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] [ 974s] 1194 | : VideoEncoder::ScalingSettings::kOff; [ 974s] | ^~~~ [ 974s] In file included from ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.h:20, [ 974s] from ../../../../modules/video_coding/codecs/vp8/libvpx_vp8_encoder.cc:11: [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] [930/2033] CXX obj/p2p/rtc_p2p/relay_port.o [ 974s] [931/2033] CXX obj/modules/video_coding/webrtc_vp8_temporal_layers/screenshare_layers.o [ 974s] [932/2033] CXX obj/pc/peerconnection/rtc_stats_traversal.o [ 974s] [933/2033] CXX obj/p2p/rtc_p2p/ice_transport_internal.o [ 974s] [934/2033] CXX obj/p2p/rtc_p2p/basic_packet_socket_factory.o [ 974s] [935/2033] CXX obj/p2p/rtc_p2p/tcp_port.o [ 974s] [936/2033] CXX obj/modules/video_coding/webrtc_vp8_temporal_layers/default_temporal_layers.o [ 974s] [937/2033] CXX obj/p2p/rtc_p2p/mdns_message.o [ 974s] [938/2033] CXX obj/p2p/rtc_p2p/port.o [ 974s] ../../../../p2p/base/port.cc: In constructor 'cricket::CandidateStats::CandidateStats(cricket::Candidate)': [ 974s] ../../../../p2p/base/port.cc:111:21: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 111 | this->candidate = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/port.h:21, [ 974s] from ../../../../p2p/base/port.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] [939/2033] CXX obj/p2p/rtc_p2p/no_op_dtls_transport.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../p2p/base/no_op_dtls_transport.cc:20: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [940/2033] CXX obj/p2p/rtc_p2p/stun_port.o [ 974s] [941/2033] CXX obj/modules/video_coding/webrtc_vp9/vp9_impl.o [ 974s] ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc: In member function 'virtual int webrtc::VP9EncoderImpl::GetEncodedLayerFrame(const vpx_codec_cx_pkt*)': [ 974s] ../../../../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] [ 974s] 1439 | codec_specific_ = {}; [ 974s] | ^ [ 974s] In file included from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:20, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc: In member function 'virtual webrtc::VideoEncoder::EncoderInfo webrtc::VP9EncoderImpl::GetEncoderInfo() const': [ 974s] ../../../../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] [ 974s] 1533 | info.scaling_settings = VideoEncoder::ScalingSettings::kOff; [ 974s] | ^~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:19, [ 974s] from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:20, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 974s] ../../../../api/video_codecs/video_encoder.h:106:5: note: because 'webrtc::VideoEncoder::ScalingSettings' has user-provided 'webrtc::VideoEncoder::ScalingSettings::ScalingSettings(const webrtc::VideoEncoder::ScalingSettings&)' [ 974s] 106 | ScalingSettings(const ScalingSettings&); [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_parameters.h:19, [ 974s] from ../../../../media/base/codec.h:19, [ 974s] from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:19, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/codecs/vp9/include/vp9.h:20, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.h:22, [ 974s] from ../../../../modules/video_coding/codecs/vp9/vp9_impl.cc:14: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [942/2033] CXX obj/p2p/rtc_p2p/async_stun_tcp_socket.o [ 974s] [943/2033] CXX obj/pc/peerconnection/sctp_utils.o [ 974s] [944/2033] CXX obj/pc/peerconnection/media_stream_observer.o [ 974s] [945/2033] CXX obj/p2p/rtc_p2p/connection.o [ 974s] ../../../../p2p/base/connection.cc: In member function 'void cricket::Connection::MaybeUpdatePeerReflexiveCandidate(const cricket::Candidate&)': [ 974s] ../../../../p2p/base/connection.cc:955:25: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 955 | remote_candidate_ = new_candidate; [ 974s] | ^~~~~~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/connection.h:18, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../p2p/base/connection.cc: In member function 'void cricket::Connection::CopyCandidatesToStatsAndSanitizeIfNecessary()': [ 974s] ../../../../p2p/base/connection.cc:1075:66: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 1075 | stats_.local_candidate = get_sanitized_copy(local_candidate()); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/connection.h:18, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../p2p/base/connection.cc:1077:46: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 1077 | stats_.local_candidate = local_candidate(); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/connection.h:18, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../p2p/base/connection.cc:1089:68: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 1089 | stats_.remote_candidate = get_sanitized_copy(remote_candidate()); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/connection.h:18, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../p2p/base/connection.cc:1091:48: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 1091 | stats_.remote_candidate = remote_candidate(); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/connection.h:18, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../p2p/base/connection.h:17, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../p2p/base/connection.cc:817:58: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../logging/rtc_event_log/ice_logger.h:17, [ 974s] from ../../../../p2p/base/connection.h:19, [ 974s] from ../../../../p2p/base/connection.cc:11: [ 974s] ../../../../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&)' [ 974s] 69 | explicit IceCandidatePairDescription( [ 974s] | ^~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 974s] [946/2033] CXX obj/modules/video_coding/webrtc_vp9_helpers/svc_rate_allocator.o [ 974s] [947/2033] STAMP obj/rtc_base/atomicops.stamp [ 974s] [948/2033] CXX obj/pc/rtc_pc_base/simulcast_description.o [ 974s] [949/2033] CXX obj/pc/peerconnection/video_track.o [ 974s] [950/2033] CXX obj/p2p/rtc_p2p/dtls_transport.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../p2p/base/dtls_transport.cc:20: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [951/2033] CXX obj/pc/peerconnection/video_track_source.o [ 974s] [952/2033] CXX obj/pc/peerconnection/dtmf_sender.o [ 974s] [953/2033] CXX obj/pc/rtc_pc_base/srtp_session.o [ 974s] [954/2033] CXX obj/p2p/libstunprober/stun_prober.o [ 974s] [955/2033] CXX obj/pc/rtc_pc_base/dtls_transport.o [ 974s] ../../../../pc/dtls_transport.cc: In function 'webrtc::DtlsTransportState webrtc::{anonymous}::TranslateState(cricket::DtlsTransportState)': [ 974s] ../../../../pc/dtls_transport.cc:39:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 39 | } [ 974s] | ^ [ 974s] [956/2033] CXX obj/pc/peerconnection/rtp_receiver.o [ 974s] [957/2033] CXX obj/pc/rtc_pc_base/transport_stats.o [ 974s] [958/2033] STAMP obj/rtc_base/protobuf_utils.stamp [ 974s] [959/2033] CXX obj/pc/peerconnection/remote_audio_source.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/remote_audio_source.h:19, [ 974s] from ../../../../pc/remote_audio_source.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [960/2033] CXX obj/pc/rtc_pc_base/rtp_media_utils.o [ 974s] [961/2033] CXX obj/pc/peerconnection/jsep_ice_candidate.o [ 974s] In file included from ../../../../pc/jsep_ice_candidate.cc:11: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../api/jsep_ice_candidate.h:21, [ 974s] from ../../../../pc/jsep_ice_candidate.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] [962/2033] CXX obj/pc/peerconnection/sdp_utils.o [ 974s] In file included from ../../../../pc/sdp_utils.h:19, [ 974s] from ../../../../pc/sdp_utils.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../api/jsep_session_description.h:24, [ 974s] from ../../../../pc/sdp_utils.cc:17: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/transport_info.h:17, [ 974s] from ../../../../pc/session_description.h:29, [ 974s] from ../../../../pc/sdp_utils.h:19, [ 974s] from ../../../../pc/sdp_utils.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../pc/sdp_utils.cc: In function 'std::unique_ptr webrtc::CloneSessionDescriptionAsType(const webrtc::SessionDescriptionInterface*, webrtc::SdpType)': [ 974s] ../../../../pc/sdp_utils.cc:37:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 37 | return std::move(clone); [ 974s] | ~~~~~~~~~^~~~~~~ [ 974s] ../../../../pc/sdp_utils.cc:37:19: note: remove 'std::move' call [ 974s] [963/2033] CXX obj/pc/rtc_pc_base/sctp_transport.o [ 974s] [964/2033] STAMP obj/rtc_base/compile_assert_c.stamp [ 974s] [965/2033] CXX obj/pc/peerconnection/jitter_buffer_delay.o [ 974s] [966/2033] STAMP obj/rtc_base/gtest_prod.stamp [ 974s] [967/2033] CXX obj/p2p/rtc_p2p/turn_port.o [ 974s] [968/2033] CXX obj/pc/peerconnection/local_audio_source.o [ 974s] [969/2033] CXX obj/pc/rtc_pc_base/srtp_filter.o [ 974s] In file included from ../../../../pc/srtp_filter.h:24, [ 974s] from ../../../../pc/srtp_filter.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [970/2033] CXX obj/pc/rtc_pc_base/external_hmac.o [ 974s] [971/2033] CXX obj/pc/peerconnection/sdp_serializer.o [ 974s] In file included from ../../../../pc/sdp_serializer.h:19, [ 974s] from ../../../../pc/sdp_serializer.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/sdp_serializer.cc: In function 'webrtc::RTCErrorOr webrtc::{anonymous}::ParseSimulcastLayerList(const string&)': [ 974s] ../../../../pc/sdp_serializer.cc:135:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 135 | return std::move(result); [ 974s] | ~~~~~~~~~^~~~~~~~ [ 974s] ../../../../pc/sdp_serializer.cc:135:19: note: remove 'std::move' call [ 974s] ../../../../pc/sdp_serializer.cc: In member function 'webrtc::RTCErrorOr webrtc::SdpSerializer::DeserializeSimulcastDescription(absl::string_view) const': [ 974s] ../../../../pc/sdp_serializer.cc:261:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 261 | return std::move(simulcast); [ 974s] | ~~~~~~~~~^~~~~~~~~~~ [ 974s] ../../../../pc/sdp_serializer.cc:261:19: note: remove 'std::move' call [ 974s] ../../../../pc/sdp_serializer.cc: In member function 'webrtc::RTCErrorOr webrtc::SdpSerializer::DeserializeRidDescription(absl::string_view) const': [ 974s] ../../../../pc/sdp_serializer.cc:371:27: warning: redundant move in return statement [-Wredundant-move] [ 974s] 371 | return std::move(error); [ 974s] | ~~~~~~~~~^~~~~~~ [ 974s] ../../../../pc/sdp_serializer.cc:371:27: note: remove 'std::move' call [ 974s] ../../../../pc/sdp_serializer.cc:388:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 388 | return std::move(rid_description); [ 974s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 974s] ../../../../pc/sdp_serializer.cc:388:19: note: remove 'std::move' call [ 974s] [972/2033] CXX obj/rtc_base/platform_thread_types/platform_thread_types.o [ 974s] [973/2033] STAMP obj/rtc_base/platform_thread_types.stamp [ 974s] [974/2033] CXX obj/rtc_base/platform_thread/platform_thread.o [ 974s] [975/2033] CXX obj/pc/peerconnection/media_stream.o [ 974s] [976/2033] CXX obj/rtc_base/checks/checks.o [ 974s] [977/2033] CXX obj/pc/rtc_pc_base/composite_rtp_transport.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/composite_rtp_transport.h:20, [ 974s] from ../../../../pc/composite_rtp_transport.cc:14: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [978/2033] CXX obj/pc/peerconnection/ice_server_parsing.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/ice_server_parsing.h:16, [ 974s] from ../../../../pc/ice_server_parsing.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [979/2033] CXX obj/pc/rtc_pc_base/ice_transport.o [ 974s] [980/2033] CXX obj/pc/peerconnection/rtp_parameters_conversion.o [ 974s] In file included from ../../../../pc/rtp_parameters_conversion.h:22, [ 974s] from ../../../../pc/rtp_parameters_conversion.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/rtp_parameters_conversion.cc: In function 'webrtc::RTCErrorOr > webrtc::ToCricketRtpHeaderExtensions(const std::vector&)': [ 974s] ../../../../pc/rtp_parameters_conversion.cc:223:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 223 | return std::move(cricket_extensions); [ 974s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:223:19: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc: In function 'webrtc::RTCErrorOr > webrtc::ToCricketStreamParamsVec(const std::vector&)': [ 974s] ../../../../pc/rtp_parameters_conversion.cc:250:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 250 | return std::move(cricket_streams); [ 974s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:250:19: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr webrtc::ToCricketCodec(const webrtc::RtpCodecParameters&) [with C = cricket::AudioCodec]': [ 974s] ../../../../pc/rtp_parameters_conversion.cc:172:36: required from here [ 974s] ../../../../pc/rtp_parameters_conversion.cc:150:25: warning: redundant move in return statement [-Wredundant-move] [ 974s] 150 | return std::move(err); [ 974s] | ^ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:150:25: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc:168:33: warning: redundant move in return statement [-Wredundant-move] [ 974s] 168 | return std::move(cricket_codec); [ 974s] | ^ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:168:33: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr webrtc::ToCricketCodec(const webrtc::RtpCodecParameters&) [with C = cricket::VideoCodec]': [ 974s] ../../../../pc/rtp_parameters_conversion.cc:174:36: required from here [ 974s] ../../../../pc/rtp_parameters_conversion.cc:150:25: warning: redundant move in return statement [-Wredundant-move] [ 974s] 150 | return std::move(err); [ 974s] | ^ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:150:25: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc:168:33: warning: redundant move in return statement [-Wredundant-move] [ 974s] 168 | return std::move(cricket_codec); [ 974s] | ^ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:168:33: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr > webrtc::ToCricketCodecs(const std::vector&) [with C = cricket::AudioCodec]': [ 974s] ../../../../pc/rtp_parameters_conversion.cc:198:71: required from here [ 974s] ../../../../pc/rtp_parameters_conversion.cc:194:34: warning: redundant move in return statement [-Wredundant-move] [ 974s] 194 | return std::move(cricket_codecs); [ 974s] | ^ [ 974s] ../../../../pc/rtp_parameters_conversion.cc:194:34: note: remove 'std::move' call [ 974s] ../../../../pc/rtp_parameters_conversion.cc: In instantiation of 'webrtc::RTCErrorOr > webrtc::ToCricketCodecs(const std::vector&) [with C = cricket::VideoCodec]': [ 974s] ../../../../pc/rtp_parameters_conversion.cc:201:71: required from here [ 974s] ../../../../pc/rtp_parameters_conversion.cc:194:34: warning: redundant move in return statement [-Wredundant-move] [ 974s] ../../../../pc/rtp_parameters_conversion.cc:194:34: note: remove 'std::move' call [ 974s] [981/2033] CXX obj/pc/rtc_pc_base/rtcp_mux_filter.o [ 974s] In file included from ../../../../pc/rtcp_mux_filter.h:14, [ 974s] from ../../../../pc/rtcp_mux_filter.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [982/2033] CXX obj/p2p/rtc_p2p/basic_port_allocator.o [ 974s] [983/2033] CXX obj/rtc_base/rate_limiter/rate_limiter.o [ 974s] [984/2033] CXX obj/rtc_base/audio_format_to_string/audio_format_to_string.o [ 974s] [985/2033] CXX obj/pc/rtc_pc_base/rtp_transport.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/rtp_transport.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [986/2033] CXX obj/rtc_base/rtc_base/net_helper.o [ 974s] [987/2033] CXX obj/rtc_base/rtc_base/message_handler.o [ 974s] [988/2033] CXX obj/pc/rtc_pc_base/srtp_transport.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/srtp_transport.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [989/2033] CXX obj/rtc_base/rtc_base/message_digest.o [ 974s] [990/2033] CXX obj/rtc_base/rtc_base/helpers.o [ 974s] [991/2033] CXX obj/pc/peerconnection/track_media_info_map.o [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/track_media_info_map.h:19, [ 974s] from ../../../../pc/track_media_info_map.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../media/base/media_channel.h:27, [ 974s] from ../../../../pc/track_media_info_map.h:20, [ 974s] from ../../../../pc/track_media_info_map.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/track_media_info_map.h:19, [ 974s] from ../../../../pc/track_media_info_map.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../media/base/media_channel.h:27, [ 974s] from ../../../../pc/track_media_info_map.h:20, [ 974s] from ../../../../pc/track_media_info_map.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [992/2033] CXX obj/rtc_base/rtc_base/async_invoker.o [ 974s] [993/2033] CXX obj/rtc_base/rtc_base/openssl_digest.o [ 974s] [994/2033] CXX obj/rtc_base/rtc_base/null_socket_server.o [ 974s] [995/2033] CXX obj/rtc_base/rtc_base/net_helpers.o [ 974s] [996/2033] CXX obj/rtc_base/rtc_base/data_rate_limiter.o [ 974s] [997/2033] CXX obj/rtc_base/rtc_base/ip_address.o [ 974s] [998/2033] CXX obj/rtc_base/rtc_base/socket.o [ 974s] [999/2033] CXX obj/p2p/rtc_p2p/p2p_transport_channel.o [ 974s] ../../../../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)': [ 974s] ../../../../p2p/base/p2p_transport_channel.cc:941:25: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 941 | remote_candidate = *candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 974s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../p2p/base/p2p_transport_channel.cc:975:37: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 975 | "", network_id, network_cost); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 974s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] ../../../../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 >]': [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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&)::]' [ 974s] ../../../../p2p/base/p2p_transport_channel.cc:1226:23: required from here [ 974s] ../../../../p2p/base/p2p_transport_channel.h:67:7: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 67 | class RemoteCandidate : public Candidate { [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 974s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from /usr/lib/gcc/i586-tizen-linux-gnu/9.2.0/include/c++/algorithm:62, [ 974s] from ../../../../p2p/base/p2p_transport_channel.h:23, [ 974s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/9.2.0/include/c++/bits/stl_algo.h:871:16: note: synthesized method 'cricket::RemoteCandidate& cricket::RemoteCandidate::operator=(cricket::RemoteCandidate&&)' first required here [ 974s] 871 | *__result = _GLIBCXX_MOVE(*__first); [ 974s] | ^ [ 974s] In file included from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] ../../../../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*]': [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] ../../../../p2p/base/p2p_transport_channel.cc:1163:21: required from here [ 974s] ../../../../p2p/base/p2p_transport_channel.h:477:10: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 477 | struct CandidateAndResolver final { [ 974s] | ^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/p2p_transport_channel.h:31, [ 974s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from /usr/lib/gcc/i586-tizen-linux-gnu/9.2.0/include/c++/algorithm:61, [ 974s] from ../../../../p2p/base/p2p_transport_channel.h:23, [ 974s] from ../../../../p2p/base/p2p_transport_channel.cc:11: [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 [ 974s] 361 | *__result = std::move(*__first); [ 974s] | ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~ [ 974s] [1000/2033] CXX obj/rtc_base/rtc_base/proxy_info.o [ 974s] [1001/2033] CXX obj/rtc_base/rtc_base/network_monitor.o [ 974s] [1002/2033] CXX obj/rtc_base/rtc_base/crypt_string.o [ 974s] [1003/2033] CXX obj/rtc_base/rtc_base/rtc_certificate.o [ 974s] [1004/2033] CXX obj/pc/peerconnection/jsep_session_description.o [ 974s] In file included from ../../../../api/jsep_session_description.h:24, [ 974s] from ../../../../pc/jsep_session_description.cc:11: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../api/jsep_session_description.h:22, [ 974s] from ../../../../pc/jsep_session_description.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/dtls_srtp_transport.h:21, [ 974s] from ../../../../pc/jsep_transport.h:26, [ 974s] from ../../../../pc/media_session.h:26, [ 974s] from ../../../../pc/jsep_session_description.cc:17: [ 974s] ../../../../pc/session_description.h: At global scope: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/jsep_session_description.cc: In function 'std::unique_ptr webrtc::CreateSessionDescription(webrtc::SdpType, const string&, webrtc::SdpParseError*)': [ 974s] ../../../../pc/jsep_session_description.cc:143:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 143 | return std::move(jsep_desc); [ 974s] | ~~~~~~~~~^~~~~~~~~~~ [ 974s] ../../../../pc/jsep_session_description.cc:143:19: note: remove 'std::move' call [ 974s] ../../../../pc/jsep_session_description.cc: In function 'std::unique_ptr webrtc::CreateSessionDescription(webrtc::SdpType, const string&, const string&, std::unique_ptr)': [ 974s] ../../../../pc/jsep_session_description.cc:155:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 155 | return std::move(jsep_description); [ 974s] | ~~~~~~~~~^~~~~~~~~~~~~~~~~~ [ 974s] ../../../../pc/jsep_session_description.cc:155:19: note: remove 'std::move' call [ 974s] [1005/2033] CXX obj/rtc_base/rtc_base/openssl_certificate.o [ 974s] [1006/2033] CXX obj/rtc_base/rtc_base/message_queue.o [ 974s] [1007/2033] CXX obj/rtc_base/rtc_base/async_resolver_interface.o [ 974s] [1008/2033] CXX obj/pc/peerconnection/video_rtp_receiver.o [ 974s] In file included from ../../../../api/proxy.h:61, [ 974s] from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../pc/video_rtp_receiver.h:23, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../rtc_base/message_handler.h: In instantiation of 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::VideoRtpReceiver::GetParameters() const::]': [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../rtc_base/message_handler.h:42:50: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 974s] In file included from ../../../../pc/video_rtp_receiver.h:22, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 622 | struct RTC_EXPORT RtpParameters { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 974s] 589 | RtcpParameters(const RtcpParameters&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/proxy.h:61, [ 974s] from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../pc/video_rtp_receiver.h:23, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../rtc_base/message_handler.h:42:50: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 974s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../pc/video_rtp_receiver.h:18, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::VideoRtpReceiver::GetParameters() const::]' [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../pc/video_rtp_receiver.h:22, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../pc/video_rtp_receiver.h:18, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::VideoRtpReceiver::GetParameters() const::]' [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../pc/video_rtp_receiver.h:22, [ 974s] from ../../../../pc/video_rtp_receiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1009/2033] CXX obj/rtc_base/rtc_base/openssl_session_cache.o [ 974s] [1010/2033] CXX obj/rtc_base/rtc_base/crc32.o [ 974s] [1011/2033] CXX obj/pc/rtc_pc_base/session_description.o [ 974s] In file included from ../../../../pc/session_description.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [1012/2033] CXX obj/rtc_base/rtc_base/openssl_identity.o [ 974s] [1013/2033] CXX obj/pc/peerconnection/rtp_transceiver.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/rtp_transceiver.h:18, [ 974s] from ../../../../pc/rtp_transceiver.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../pc/channel_manager.h:23, [ 974s] from ../../../../pc/rtp_transceiver.h:19, [ 974s] from ../../../../pc/rtp_transceiver.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_transceiver_interface.h:17, [ 974s] from ../../../../pc/rtp_transceiver.h:17, [ 974s] from ../../../../pc/rtp_transceiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_transceiver_interface.h:20, [ 974s] from ../../../../pc/rtp_transceiver.h:17, [ 974s] from ../../../../pc/rtp_transceiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_transceiver_interface.h:17, [ 974s] from ../../../../pc/rtp_transceiver.h:17, [ 974s] from ../../../../pc/rtp_transceiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_transceiver_interface.h:20, [ 974s] from ../../../../pc/rtp_transceiver.h:17, [ 974s] from ../../../../pc/rtp_transceiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1014/2033] CXX obj/rtc_base/rtc_base/rtc_certificate_generator.o [ 974s] [1015/2033] CXX obj/rtc_base/rtc_base/openssl_utility.o [ 974s] [1016/2033] CXX obj/rtc_base/rtc_base_approved/rate_tracker.o [ 974s] [1017/2033] CXX obj/rtc_base/rtc_base/openssl_adapter.o [ 974s] [1018/2033] CXX obj/rtc_base/rtc_base/socket_address_pair.o [ 974s] [1019/2033] CXX obj/rtc_base/rtc_base_approved/zero_memory.o [ 974s] [1020/2033] CXX obj/rtc_base/rtc_base_approved/timestamp_aligner.o [ 974s] [1021/2033] CXX obj/rtc_base/rtc_base/async_packet_socket.o [ 974s] [1022/2033] CXX obj/rtc_base/rtc_event/event.o [ 974s] [1023/2033] CXX obj/rtc_base/rtc_base/http_common.o [ 974s] [1024/2033] CXX obj/rtc_base/rtc_base/async_socket.o [ 974s] [1025/2033] CXX obj/rtc_base/rtc_base/file_rotating_stream.o [ 974s] [1026/2033] CXX obj/rtc_base/rtc_base/async_udp_socket.o [ 974s] [1027/2033] CXX obj/rtc_base/rtc_base/async_tcp_socket.o [ 974s] [1028/2033] CXX obj/pc/rtc_pc_base/jsep_transport.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/dtls_srtp_transport.h:21, [ 974s] from ../../../../pc/jsep_transport.h:26, [ 974s] from ../../../../pc/jsep_transport.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [1029/2033] CXX obj/rtc_base/rtc_base/ifaddrs_converter.o [ 974s] [1030/2033] CXX obj/rtc_base/rtc_base/openssl_stream_adapter.o [ 974s] [1031/2033] CXX obj/rtc_base/rtc_base/signal_thread.o [ 974s] [1032/2033] CXX obj/rtc_base/rtc_base_approved/platform_file.o [ 974s] [1033/2033] CXX obj/rtc_base/rtc_base/ssl_adapter.o [ 974s] [1034/2033] CXX obj/rtc_base/rtc_base_approved/bit_buffer.o [ 974s] [1035/2033] CXX obj/pc/peerconnection/rtp_sender.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/rtp_sender.cc:19: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/jsep_transport_controller.h:30, [ 974s] from ../../../../pc/peer_connection.h:24, [ 974s] from ../../../../pc/rtp_sender.cc:19: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/rtp_sender.cc:19: [ 974s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 974s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_sender.cc:19: [ 974s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 974s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 974s] | ^~~~~~~~~~ [ 974s] ../../../../pc/rtp_sender.cc: In member function 'virtual webrtc::RTCError webrtc::RtpSenderBase::SetParametersInternal(const webrtc::RtpParameters&)': [ 974s] ../../../../pc/rtp_sender.cc:182:26: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 182 | init_parameters_ = parameters; [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h: In member function 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)': [ 974s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 622 | struct RTC_EXPORT RtpParameters { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 974s] 589 | RtcpParameters(const RtcpParameters&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] ../../../../pc/rtp_sender.cc: In member function 'virtual webrtc::RTCError webrtc::RtpSenderBase::SetParametersInternal(const webrtc::RtpParameters&)': [ 974s] ../../../../pc/rtp_sender.cc:182:26: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 974s] 182 | init_parameters_ = parameters; [ 974s] | ^~~~~~~~~~ [ 974s] ../../../../pc/rtp_sender.cc: In lambda function: [ 974s] ../../../../pc/rtp_sender.cc:193:70: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 193 | old_parameters.encodings); [ 974s] | ^ [ 974s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../pc/rtp_sender.cc: In lambda function: [ 974s] ../../../../pc/rtp_sender.cc:302:71: warning: implicitly-declared 'webrtc::RtpEncodingParameters& webrtc::RtpEncodingParameters::operator=(const webrtc::RtpEncodingParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 302 | current_parameters.encodings[i] = init_parameters_.encodings[i]; [ 974s] | ^ [ 974s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../api/rtp_parameters.h:368:3: note: because 'webrtc::RtpEncodingParameters' has user-provided 'webrtc::RtpEncodingParameters::RtpEncodingParameters(const webrtc::RtpEncodingParameters&)' [ 974s] 368 | RtpEncodingParameters(const RtpEncodingParameters&); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/rtp_sender.h:22, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/rtp_sender.h:22, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/proxy.h:61, [ 974s] from ../../../../api/rtp_sender_interface.h:25, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../rtc_base/message_handler.h: In instantiation of 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::RtpSenderBase::GetParametersInternal() const::]': [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../rtc_base/message_handler.h:42:50: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 974s] In file included from ../../../../api/rtp_sender_interface.h:27, [ 974s] from ../../../../pc/rtp_sender.h:23, [ 974s] from ../../../../pc/rtp_sender.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] [1036/2033] CXX obj/rtc_base/rtc_base_approved/race_checker.o [ 974s] [1037/2033] STAMP obj/rtc_base/safe_compare.stamp [ 974s] [1038/2033] CXX obj/rtc_base/rtc_base/socket_address.o [ 974s] [1039/2033] CXX obj/rtc_base/rtc_base/log_sinks.o [ 974s] In file included from ../../../../rtc_base/log_sinks.h:20, [ 974s] from ../../../../rtc_base/log_sinks.cc:11: [ 974s] ../../../../rtc_base/logging.h:116:16: warning: 'virtual void rtc::LogSink::OnLogMessage(const string&, rtc::LoggingSeverity)' was hidden [-Woverloaded-virtual] [ 974s] 116 | virtual void OnLogMessage(const std::string& message, [ 974s] | ^~~~~~~~~~~~ [ 974s] In file included from ../../../../rtc_base/log_sinks.cc:11: [ 974s] ../../../../rtc_base/log_sinks.h:39:8: warning: by 'rtc::FileRotatingLogSink::OnLogMessage' [-Woverloaded-virtual] [ 974s] 39 | void OnLogMessage(const std::string& message, [ 974s] | ^~~~~~~~~~~~ [ 974s] [1040/2033] CXX obj/rtc_base/rtc_base/ssl_identity.o [ 974s] [1041/2033] CXX obj/rtc_base/rtc_numerics/exp_filter.o [ 974s] [1042/2033] CXX obj/rtc_base/rtc_base/unique_id_generator.o [ 974s] [1043/2033] CXX obj/rtc_base/rtc_base_approved/sample_counter.o [ 974s] [1044/2033] CXX obj/rtc_base/rtc_base_approved/random.o [ 974s] [1045/2033] CXX obj/rtc_base/rtc_base/network.o [ 974s] [1046/2033] CXX obj/rtc_base/rtc_base/ssl_stream_adapter.o [ 974s] [1047/2033] CXX obj/rtc_base/rtc_base/physical_socket_server.o [ 974s] [1048/2033] CXX obj/rtc_base/rtc_base/ssl_fingerprint.o [ 974s] [1049/2033] CXX obj/rtc_base/rtc_base/ssl_certificate.o [ 974s] [1050/2033] CXX obj/rtc_base/rtc_base_approved/rate_statistics.o [ 974s] [1051/2033] CXX obj/rtc_base/rtc_base/socket_adapters.o [ 974s] [1052/2033] CXX obj/rtc_base/rtc_task_queue/task_queue.o [ 974s] [1053/2033] CXX obj/rtc_base/rtc_base/stream.o [ 974s] [1054/2033] CXX obj/rtc_base/stringutils/string_utils.o [ 974s] [1055/2033] CXX obj/rtc_base/rtc_base/thread.o [ 974s] [1056/2033] CXX obj/rtc_base/rtc_base_approved/byte_buffer.o [ 974s] [1057/2033] CXX obj/rtc_base/rtc_base_approved/copy_on_write_buffer.o [ 974s] [1058/2033] CXX obj/pc/peerconnection/stats_collector.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/stats_collector.h:25, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/data_channel.h:23, [ 974s] from ../../../../pc/peer_connection_internal.h:22, [ 974s] from ../../../../pc/stats_collector.h:28, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/stats_collector.h:25, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 974s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/stats_collector.cc:20: [ 974s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 974s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/stats_collector.h:24, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/stats_collector.h:25, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/stats_collector.h:24, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/stats_collector.h:25, [ 974s] from ../../../../pc/stats_collector.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1059/2033] CXX obj/rtc_base/rtc_task_queue_libevent/task_queue_libevent.o [ 974s] [1060/2033] CXX obj/rtc_base/stringutils/string_to_number.o [ 974s] [1061/2033] STAMP obj/rtc_base/system/arch.stamp [ 974s] [1062/2033] STAMP obj/rtc_base/macromagic.stamp [ 974s] [1063/2033] STAMP obj/rtc_base/synchronization/rw_lock_wrapper.stamp [ 974s] [1064/2033] STAMP obj/rtc_base/refcount.stamp [ 974s] [1065/2033] STAMP obj/rtc_base/system/ignore_warnings.stamp [ 974s] [1066/2033] STAMP obj/modules/audio_coding/isac_vad.stamp [ 974s] [1067/2033] CXX obj/rtc_base/rtc_base_approved/buffer_queue.o [ 974s] [1068/2033] STAMP obj/rtc_base/system/fallthrough.stamp [ 974s] [1069/2033] CXX obj/rtc_base/weak_ptr/weak_ptr.o [ 974s] [1070/2033] CXX obj/rtc_base/stringutils/string_builder.o [ 974s] [1071/2033] CXX obj/rtc_base/synchronization/yield_policy/yield_policy.o [ 974s] [1072/2033] STAMP obj/rtc_base/system/unused.stamp [ 974s] [1073/2033] STAMP obj/rtc_base/system/inline.stamp [ 974s] [1074/2033] STAMP obj/rtc_base/system/rtc_export.stamp [ 974s] [1075/2033] CXX obj/rtc_base/timeutils/time_utils.o [ 974s] [1076/2033] AR obj/modules/audio_processing/libconfig.a [ 974s] [1077/2033] CXX obj/rtc_base/experiments/rtt_mult_experiment/rtt_mult_experiment.o [ 974s] [1078/2033] CXX obj/system_wrappers/system_wrappers/cpu_features.o [ 974s] [1079/2033] CXX obj/rtc_base/rtc_base_approved/bitrate_allocation_strategy.o [ 974s] [1080/2033] STAMP obj/system_wrappers/field_trial.stamp [ 974s] [1081/2033] CXX obj/rtc_base/third_party/sigslot/sigslot/sigslot.o [ 974s] [1082/2033] STAMP obj/rtc_base/third_party/sigslot/sigslot.stamp [ 974s] [1083/2033] STAMP obj/sdk/sdk.stamp [ 974s] [1084/2033] CXX obj/rtc_base/experiments/audio_allocation_settings/audio_allocation_settings.o [ 974s] [1085/2033] STAMP obj/system_wrappers/cpu_features_api.stamp [ 974s] [1086/2033] CXX obj/rtc_base/experiments/alr_experiment/alr_experiment.o [ 974s] [1087/2033] CXX obj/rtc_base/experiments/jitter_upper_bound_experiment/jitter_upper_bound_experiment.o [ 974s] [1088/2033] AR obj/system_wrappers/libcpu_features_linux.a [ 974s] [1089/2033] STAMP obj/modules/audio_processing/utility/ooura_fft.stamp [ 974s] [1090/2033] CXX obj/pc/peerconnection/audio_rtp_receiver.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/remote_audio_source.h:19, [ 974s] from ../../../../pc/audio_rtp_receiver.h:26, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../api/proxy.h:61, [ 974s] from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../media/base/media_channel.h:28, [ 974s] from ../../../../pc/audio_rtp_receiver.h:24, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../rtc_base/message_handler.h: In instantiation of 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::AudioRtpReceiver::GetParameters() const::]': [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../rtc_base/message_handler.h:42:50: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 974s] In file included from ../../../../pc/audio_rtp_receiver.h:22, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 622 | struct RTC_EXPORT RtpParameters { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 974s] 589 | RtcpParameters(const RtcpParameters&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/proxy.h:61, [ 974s] from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../media/base/media_channel.h:28, [ 974s] from ../../../../pc/audio_rtp_receiver.h:24, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../rtc_base/message_handler.h:42:50: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 974s] 42 | virtual void OnMessage(Message* msg) { result_ = functor_(); } [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../pc/audio_rtp_receiver.h:18, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::AudioRtpReceiver::GetParameters() const::]' [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../pc/audio_rtp_receiver.h:22, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../pc/audio_rtp_receiver.h:18, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../api/rtp_parameters.h:622:19: required from 'void rtc::FunctorMessageHandler::OnMessage(rtc::Message*) [with ReturnT = webrtc::RtpParameters; FunctorT = webrtc::AudioRtpReceiver::GetParameters() const::]' [ 974s] ../../../../rtc_base/message_handler.h:42:16: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../pc/audio_rtp_receiver.h:22, [ 974s] from ../../../../pc/audio_rtp_receiver.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1091/2033] CXX obj/rtc_base/time/timestamp_extrapolator/timestamp_extrapolator.o [ 974s] [1092/2033] STAMP obj/rtc_base/time/timestamp_extrapolator.stamp [ 974s] [1093/2033] CXX obj/rtc_base/experiments/normalize_simulcast_size_experiment/normalize_simulcast_size_experiment.o [ 974s] [1094/2033] CXX obj/system_wrappers/system_wrappers/sleep.o [ 974s] [1095/2033] CXX obj/rtc_base/rtc_numerics/samples_stats_counter.o [ 974s] [1096/2033] CXX obj/rtc_base/experiments/cpu_speed_experiment/cpu_speed_experiment.o [ 974s] [1097/2033] CXX obj/rtc_base/memory/aligned_malloc/aligned_malloc.o [ 974s] [1098/2033] STAMP obj/third_party/abseil-cpp/absl/base/base_internal.stamp [ 974s] [1099/2033] CXX obj/rtc_base/rtc_json/json.o [ 974s] [1100/2033] STAMP obj/third_party/abseil-cpp/absl/algorithm/algorithm.stamp [ 974s] [1101/2033] STAMP obj/third_party/abseil-cpp/absl/base/config.stamp [ 974s] [1102/2033] CXX obj/rtc_base/experiments/field_trial_parser/field_trial_list.o [ 974s] [1103/2033] STAMP obj/third_party/abseil-cpp/absl/base/core_headers.stamp [ 974s] [1104/2033] STAMP obj/rtc_base/synchronization/yield_policy.stamp [ 974s] [1105/2033] STAMP obj/third_party/abseil-cpp/absl/base/bits.stamp [ 974s] [1106/2033] CXX obj/third_party/abseil-cpp/absl/base/dynamic_annotations/dynamic_annotations.o [ 974s] [1107/2033] CXX obj/rtc_base/experiments/quality_scaler_settings/quality_scaler_settings.o [ 974s] [1108/2033] CXX obj/rtc_base/experiments/keyframe_interval_settings_experiment/keyframe_interval_settings.o [ 974s] [1109/2033] CXX obj/rtc_base/stringutils/string_encode.o [ 974s] [1110/2033] CXX obj/third_party/abseil-cpp/absl/base/base/unscaledcycleclock.o [ 974s] [1111/2033] STAMP obj/third_party/abseil-cpp/absl/base/dynamic_annotations.stamp [ 974s] [1112/2033] STAMP obj/third_party/abseil-cpp/absl/base/endian.stamp [ 974s] [1113/2033] CXX obj/rtc_base/system/file_wrapper/file_wrapper.o [ 974s] [1114/2033] CXX obj/third_party/abseil-cpp/absl/base/base/cycleclock.o [ 974s] [1115/2033] CXX obj/third_party/abseil-cpp/absl/strings/internal/utf8.o [ 974s] [1116/2033] STAMP obj/third_party/abseil-cpp/absl/meta/type_traits.stamp [ 974s] [1117/2033] STAMP obj/rtc_base/sanitizer.stamp [ 974s] [1118/2033] CXX obj/third_party/abseil-cpp/absl/base/spinlock_wait/spinlock_wait.o [ 974s] [1119/2033] STAMP obj/third_party/abseil-cpp/absl/algorithm/container.stamp [ 974s] [1120/2033] STAMP obj/third_party/abseil-cpp/absl/base/spinlock_wait.stamp [ 974s] [1121/2033] STAMP obj/third_party/abseil-cpp/absl/memory/memory.stamp [ 974s] [1122/2033] CXX obj/rtc_base/third_party/base64/base64/base64.o [ 974s] [1123/2033] STAMP obj/rtc_base/third_party/base64/base64.stamp [ 974s] [1124/2033] CXX obj/third_party/abseil-cpp/absl/base/base/log_severity.o [ 974s] [1125/2033] CXX obj/rtc_base/memory/fifo_buffer/fifo_buffer.o [ 974s] [1126/2033] CXX obj/system_wrappers/system_wrappers/clock.o [ 974s] [1127/2033] CXX obj/rtc_base/experiments/balanced_degradation_settings/balanced_degradation_settings.o [ 974s] [1128/2033] CXX obj/third_party/abseil-cpp/absl/base/base/raw_logging.o [ 974s] [1129/2033] CXX obj/rtc_base/experiments/quality_scaling_experiment/quality_scaling_experiment.o [ 974s] [1130/2033] CXX obj/third_party/abseil-cpp/absl/strings/internal/ostringstream.o [ 974s] [1131/2033] STAMP obj/third_party/abseil-cpp/absl/strings/internal.stamp [ 974s] [1132/2033] CXX obj/third_party/abseil-cpp/absl/base/throw_delegate/throw_delegate.o [ 974s] [1133/2033] CXX obj/rtc_base/experiments/field_trial_parser/field_trial_units.o [ 974s] [1134/2033] CXX obj/third_party/abseil-cpp/absl/base/base/spinlock.o [ 974s] [1135/2033] CXX obj/third_party/abseil-cpp/absl/base/base/thread_identity.o [ 974s] [1136/2033] CXX obj/system_wrappers/system_wrappers/cpu_info.o [ 974s] [1137/2033] CXX obj/third_party/abseil-cpp/absl/base/base/sysinfo.o [ 974s] [1138/2033] STAMP obj/third_party/abseil-cpp/absl/base/base.stamp [ 974s] [1139/2033] STAMP obj/third_party/abseil-cpp/absl/base/throw_delegate.stamp [ 974s] [1140/2033] CXX obj/rtc_base/experiments/rate_control_settings/rate_control_settings.o [ 974s] [1141/2033] CXX obj/rtc_base/experiments/field_trial_parser/field_trial_parser.o [ 974s] ../../../../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]': [ 974s] ../../../../rtc_base/experiments/field_trial_parser.cc:129:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 129 | return std::move(str); [ 974s] | ~~~~~~~~~^~~~~ [ 974s] ../../../../rtc_base/experiments/field_trial_parser.cc:129:19: note: remove 'std::move' call [ 974s] [1142/2033] STAMP obj/third_party/abseil-cpp/absl/utility/utility.stamp [ 974s] [1143/2033] STAMP obj/third_party/abseil-cpp/absl/container/compressed_tuple.stamp [ 974s] [1144/2033] CXX obj/stats/rtc_stats/rtc_stats_report.o [ 974s] [1145/2033] STAMP obj/third_party/abseil-cpp/absl/types/span.stamp [ 974s] [1146/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/match.o [ 974s] [1147/2033] STAMP obj/third_party/abseil-cpp/absl/container/inlined_vector_internal.stamp [ 974s] [1148/2033] STAMP obj/third_party/abseil-cpp/absl/container/inlined_vector.stamp [ 974s] [1149/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/charconv_parse.o [ 974s] [1150/2033] CXX obj/stats/rtc_stats/rtc_stats.o [ 974s] [1151/2033] CC obj/third_party/libvpx/libvpx/entropymv.o [ 974s] [1152/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/memutil.o [ 974s] [1153/2033] CXX obj/system_wrappers/system_wrappers/rtp_to_ntp_estimator.o [ 974s] [1154/2033] CC obj/third_party/libvpx/libvpx/entropy.o [ 974s] [1155/2033] CXX obj/third_party/abseil-cpp/absl/numeric/int128/int128.o [ 974s] [1156/2033] STAMP obj/third_party/abseil-cpp/absl/numeric/int128.stamp [ 974s] [1157/2033] CC obj/third_party/libvpx/libvpx/extend.o [ 974s] [1158/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/str_replace.o [ 974s] [1159/2033] CXX obj/third_party/abseil-cpp/absl/types/bad_variant_access/bad_variant_access.o [ 974s] [1160/2033] CC obj/third_party/libvpx/libvpx/systemdependent.o [ 974s] [1161/2033] CXX obj/test/fake_video_codecs/fake_vp8_encoder.o [ 974s] [1162/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/string_view.o [ 974s] [1163/2033] STAMP obj/third_party/abseil-cpp/absl/types/bad_variant_access.stamp [ 974s] [1164/2033] CXX obj/test/fake_video_codecs/fake_vp8_decoder.o [ 974s] [1165/2033] CC obj/third_party/libvpx/libvpx/findnearmv.o [ 974s] [1166/2033] CC obj/third_party/libvpx/libvpx/idct_blk.o [ 974s] [1167/2033] CC obj/third_party/libvpx/libvpx/idctllm.o [ 974s] [1168/2033] CC obj/third_party/libvpx/libvpx/mbpitch.o [ 974s] [1169/2033] CC obj/third_party/libvpx/libvpx/quant_common.o [ 974s] [1170/2033] CC obj/third_party/libvpx/libvpx/modecont.o [ 974s] [1171/2033] STAMP obj/third_party/abseil-cpp/absl/types/variant.stamp [ 974s] [1172/2033] CXX obj/pc/peerconnection/webrtc_session_description_factory.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/dtls_srtp_transport.h:21, [ 974s] from ../../../../pc/jsep_transport.h:26, [ 974s] from ../../../../pc/media_session.h:26, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:24, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../api/jsep_session_description.h:24, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:22: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/port.h:21, [ 974s] from ../../../../p2p/base/port_allocator.h:19, [ 974s] from ../../../../api/peer_connection_interface.h:105, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/jsep.h:29, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:19, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/jsep.h:29, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:19, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/webrtc_session_description_factory.h:20, [ 974s] from ../../../../pc/webrtc_session_description_factory.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1173/2033] CXX obj/test/fake_video_codecs/configurable_frame_size_encoder.o [ 974s] [1174/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/ascii.o [ 974s] [1175/2033] CXX obj/third_party/abseil-cpp/absl/types/bad_optional_access/bad_optional_access.o [ 974s] [1176/2033] CC obj/third_party/libvpx/libvpx/filter.o [ 974s] [1177/2033] CXX obj/system_wrappers/metrics/metrics.o [ 974s] [1178/2033] CC obj/third_party/libsrtp/libsrtp/null_auth.o [ 974s] [1179/2033] CC obj/third_party/libsrtp/libsrtp/alloc.o [ 974s] [1180/2033] STAMP obj/third_party/abseil-cpp/absl/types/bad_optional_access.stamp [ 974s] [1181/2033] STAMP obj/third_party/abseil-cpp/absl/types/optional.stamp [ 974s] [1182/2033] CC obj/third_party/libsrtp/libsrtp/null_cipher.o [ 974s] [1183/2033] CC obj/third_party/libsrtp/libsrtp/err.o [ 974s] [1184/2033] CC obj/third_party/libsrtp/libsrtp/key.o [ 974s] [1185/2033] CC obj/third_party/libsrtp/libsrtp/auth.o [ 974s] [1186/2033] STAMP obj/api/transport/bitrate_settings.stamp [ 974s] [1187/2033] STAMP obj/modules/module_api_public.stamp [ 974s] [1188/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/substitute.o [ 974s] [1189/2033] CC obj/third_party/libvpx/libvpx/mfqe.o [ 974s] [1190/2033] CC obj/third_party/libsrtp/libsrtp/aes_icm_ossl.o [ 974s] [1191/2033] CC obj/third_party/libsrtp/libsrtp/rdb.o [ 974s] [1192/2033] AR obj/modules/audio_coding/libaudio_network_adaptor_config.a [ 974s] [1193/2033] STAMP obj/rtc_base/network/sent_packet.stamp [ 974s] [1194/2033] STAMP obj/modules/audio_processing/audio_processing_statistics.stamp [ 974s] [1195/2033] CC obj/third_party/libvpx/libvpx/loopfilter_filters.o [ 974s] [1196/2033] CC obj/third_party/libsrtp/libsrtp/aes_gcm_ossl.o [ 974s] [1197/2033] CC obj/third_party/libsrtp/libsrtp/hmac_ossl.o [ 974s] [1198/2033] CC obj/third_party/libsrtp/libsrtp/crypto_kernel.o [ 974s] [1199/2033] CC obj/third_party/libsrtp/libsrtp/datatypes.o [ 974s] [1200/2033] CC obj/third_party/libsrtp/libsrtp/stat.o [ 974s] [1201/2033] CC obj/third_party/libsrtp/libsrtp/rdbx.o [ 974s] [1202/2033] CC obj/third_party/libsrtp/libsrtp/ekt.o [ 974s] [1203/2033] CC obj/third_party/libvpx/libvpx/dequantize.o [ 974s] [1204/2033] CC obj/third_party/libvpx/libvpx/blockd.o [ 974s] [1205/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/str_cat.o [ 974s] [1206/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/str_split.o [ 974s] [1207/2033] CC obj/third_party/libsrtp/libsrtp/cipher.o [ 974s] [1208/2033] CC obj/third_party/libvpx/libvpx/alloccommon.o [ 974s] [1209/2033] CC obj/third_party/libvpx/libvpx/entropymode.o [ 974s] [1210/2033] CC obj/third_party/libvpx/libvpx_intrinsics_ssse3/vp8_quantize_ssse3.o [ 974s] [1211/2033] CXX obj/test/fake_video_codecs/fake_encoder.o [ 974s] [1212/2033] CC obj/third_party/libvpx/libvpx_intrinsics_ssse3/quantize_ssse3.o [ 974s] [1213/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/post_proc_sse2.o [ 974s] [1214/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/quantize_sse2.o [ 974s] [1215/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_quantize_intrin_sse2.o [ 974s] [1216/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_idct4x4_add_sse2.o [ 974s] [1217/2033] CC obj/third_party/libvpx/libvpx/postproc.o [ 974s] [1218/2033] CC obj/third_party/libvpx/libvpx/setupintrarecon.o [ 974s] [1219/2033] CC obj/third_party/libvpx/libvpx/swapyv12buffer.o [ 974s] [1220/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/escaping.o [ 974s] [1221/2033] CC obj/third_party/libvpx/libvpx/reconintra.o [ 974s] [1222/2033] CC obj/third_party/libvpx/libvpx/rtcd.o [ 974s] [1223/2033] CC obj/third_party/libvpx/libvpx/treecoder.o [ 974s] [1224/2033] CC obj/third_party/libvpx/libvpx/reconintra4x4.o [ 974s] [1225/2033] CC obj/third_party/libvpx/libvpx/loopfilter_x86.o [ 974s] [1226/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_intrapred_intrin_sse2.o [ 974s] [1227/2033] CC obj/third_party/libvpx/libvpx/vp8_skin_detection.o [ 974s] [1228/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_idct8x8_add_sse2.o [ 974s] [1229/2033] CC obj/third_party/libvpx/libvpx/vp8_asm_stubs.o [ 974s] [1230/2033] CC obj/third_party/libvpx/libvpx/dboolhuff.o [ 974s] [1231/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/numbers.o [ 974s] [1232/2033] CC obj/third_party/libvpx/libvpx/copy_c.o [ 974s] [1233/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/charconv.o [ 974s] [1234/2033] CC obj/third_party/libvpx/libvpx_intrinsics_ssse3/vp9_frame_scale_ssse3.o [ 974s] [1235/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vpx_subpixel_4t_intrin_sse2.o [ 974s] [1236/2033] CC obj/third_party/libvpx/libvpx/dct.o [ 974s] [1237/2033] CC obj/third_party/libvpx/libvpx/reconinter.o [ 974s] [1238/2033] CC obj/third_party/libvpx/libvpx_intrinsics_ssse3/vpx_subpixel_8t_intrin_ssse3.o [ 974s] [1239/2033] CC obj/third_party/libvpx/libvpx/detokenize.o [ 974s] [1240/2033] CC obj/third_party/libvpx/libvpx/boolhuff.o [ 974s] [1241/2033] CC obj/third_party/libvpx/libvpx_intrinsics_ssse3/inv_txfm_ssse3.o [ 974s] [1242/2033] CC obj/third_party/libvpx/libvpx_intrinsics_ssse3/highbd_intrapred_intrin_ssse3.o [ 974s] [1243/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_ssse3.stamp [ 974s] [1244/2033] CC obj/third_party/libvpx/libvpx/onyxd_if.o [ 974s] [1245/2033] CXX obj/third_party/abseil-cpp/absl/strings/strings/charconv_bigint.o [ 974s] [1246/2033] STAMP obj/third_party/abseil-cpp/absl/strings/strings.stamp [ 974s] [1247/2033] STAMP obj/api/transport/webrtc_key_value_config.stamp [ 974s] [1248/2033] CC obj/third_party/libvpx/libvpx/vp8_loopfilter.o [ 974s] [1249/2033] CC obj/third_party/libvpx/libvpx/encodeintra.o [ 974s] [1250/2033] CC obj/third_party/libvpx/libvpx/modecosts.o [ 974s] [1251/2033] CC obj/third_party/libvpx/libvpx/lookahead.o [ 974s] [1252/2033] STAMP obj/api/transport/field_trial_based_config.stamp [ 974s] [1253/2033] STAMP obj/rtc_base/checks.stamp [ 974s] [1254/2033] STAMP obj/api/array_view.stamp [ 974s] [1255/2033] STAMP obj/api/transport/media/audio_interfaces.stamp [ 974s] [1256/2033] STAMP obj/api/video_codecs/bitstream_parser_api.stamp [ 974s] [1257/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_loopfilter_sse2.o [ 974s] [1258/2033] CC obj/third_party/libvpx/libvpx/decodemv.o [ 974s] [1259/2033] CC obj/third_party/libvpx/libvpx/denoising.o [ 974s] [1260/2033] STAMP obj/api/task_queue/task_queue.stamp [ 974s] [1261/2033] STAMP obj/api/function_view.stamp [ 974s] [1262/2033] CC obj/third_party/libvpx/libvpx/encodemb.o [ 974s] [1263/2033] CC obj/third_party/libvpx/libvpx/encodemv.o [ 974s] [1264/2033] STAMP obj/common_video/generic_frame_descriptor/generic_frame_descriptor.stamp [ 974s] [1265/2033] STAMP obj/modules/video_coding/codec_globals_headers.stamp [ 974s] [1266/2033] STAMP obj/rtc_base/task_utils/to_queued_task.stamp [ 974s] [1267/2033] CC obj/third_party/libvpx/libvpx/mr_dissim.o [ 974s] [1268/2033] CC obj/third_party/libvpx/libvpx/segmentation.o [ 974s] [1269/2033] STAMP obj/modules/audio_processing/audio_frame_view.stamp [ 974s] [1270/2033] STAMP obj/modules/audio_processing/utility/legacy_delay_estimator.stamp [ 974s] [1271/2033] STAMP obj/rtc_base/criticalsection.stamp [ 974s] [1272/2033] STAMP obj/rtc_base/rtc_event.stamp [ 974s] [1273/2033] STAMP obj/rtc_base/safe_conversions.stamp [ 974s] [1274/2033] CC obj/third_party/libvpx/libvpx/picklpf.o [ 974s] [1275/2033] STAMP obj/rtc_base/rtc_task_queue.stamp [ 974s] [1276/2033] STAMP obj/rtc_base/safe_minmax.stamp [ 974s] [1277/2033] STAMP obj/rtc_base/memory/aligned_malloc.stamp [ 974s] [1278/2033] STAMP obj/rtc_base/synchronization/sequence_checker.stamp [ 974s] [1279/2033] STAMP obj/system_wrappers/event_wrapper.stamp [ 974s] [1280/2033] CC obj/third_party/libvpx/libvpx/ethreading.o [ 974s] [1281/2033] CC obj/third_party/libvpx/libvpx/treewriter.o [ 974s] [1282/2033] STAMP obj/rtc_base/system/file_wrapper.stamp [ 974s] [1283/2033] STAMP obj/rtc_base/units/unit_base.stamp [ 974s] [1284/2033] STAMP obj/rtc_base/stringutils.stamp [ 974s] [1285/2033] STAMP obj/rtc_base/memory/aligned_array.stamp [ 974s] [1286/2033] STAMP obj/rtc_base/thread_checker.stamp [ 974s] [1287/2033] CC obj/third_party/libvpx/libvpx/decodeframe.o [ 974s] [1288/2033] AR obj/rtc_base/libweak_ptr.a [ 974s] [1289/2033] STAMP obj/api/units/time_delta.stamp [ 974s] [1290/2033] STAMP obj/api/units/data_size.stamp [ 974s] [1291/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_variance_sse2.o [ 974s] [1292/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/loopfilter_sse2.o [ 974s] [1293/2033] CC obj/third_party/libvpx/libvpx/threading.o [ 974s] [1294/2033] CC obj/third_party/libvpx/libvpx/encodeframe.o [ 974s] [1295/2033] STAMP obj/api/video/video_bitrate_allocation.stamp [ 974s] [1296/2033] STAMP obj/api/audio_options_api.stamp [ 974s] [1297/2033] STAMP obj/rtc_base/timeutils.stamp [ 974s] [1298/2033] STAMP obj/api/units/timestamp.stamp [ 974s] [1299/2033] STAMP obj/api/units/data_rate.stamp [ 974s] [1300/2033] CC obj/third_party/libvpx/libvpx/vp9_common_data.o [ 974s] [1301/2033] STAMP obj/api/video/video_bitrate_allocator.stamp [ 974s] [1302/2033] STAMP obj/api/rtc_event_log/rtc_event_log.stamp [ 974s] [1303/2033] CXX obj/third_party/jsoncpp/jsoncpp/json_writer.o [ 974s] [1304/2033] CC obj/third_party/libvpx/libvpx/ratectrl.o [ 974s] [1305/2033] CC obj/third_party/libvpx/libvpx/vp9_alloccommon.o [ 974s] [1306/2033] CC obj/third_party/libvpx/libvpx/vp9_filter.o [ 974s] [1307/2033] STAMP obj/rtc_base/platform_thread.stamp [ 974s] [1308/2033] AR obj/api/transport/libnetwork_control.a [ 974s] [1309/2033] STAMP obj/api/bitrate_allocation.stamp [ 974s] [1310/2033] STAMP obj/modules/congestion_controller/goog_cc/link_capacity_estimator.stamp [ 974s] [1311/2033] CXX obj/third_party/jsoncpp/jsoncpp/json_reader.o [ 974s] [1312/2033] STAMP obj/api/rtc_event_log/rtc_event_log_factory.stamp [ 974s] [1313/2033] STAMP obj/rtc_base/logging.stamp [ 974s] [1314/2033] CC obj/third_party/libsrtp/libsrtp/srtp.o [ 974s] [1315/2033] CC obj/third_party/libvpx/libvpx/vp8_dx_iface.o [ 974s] [1316/2033] CC obj/third_party/libvpx/libvpx/vp9_blockd.o [ 974s] [1317/2033] CC obj/third_party/libvpx/libvpx/vp9_entropy.o [ 974s] [1318/2033] CC obj/third_party/libvpx/libvpx/vp9_frame_buffers.o [ 974s] [1319/2033] STAMP obj/rtc_base/task_utils/repeating_task.stamp [ 974s] [1320/2033] STAMP obj/rtc_base/rtc_task_queue_libevent.stamp [ 974s] [1321/2033] AR obj/rtc_base/experiments/libfield_trial_parser.a [ 974s] [1322/2033] AR obj/third_party/libsrtp/libsrtp.a [ 974s] [1323/2033] CC obj/third_party/libvpx/libvpx/vp9_entropymv.o [ 974s] [1324/2033] STAMP obj/api/task_queue/default_task_queue_factory.stamp [ 974s] [1325/2033] STAMP obj/rtc_base/rtc_base_approved.stamp [ 974s] [1326/2033] CC obj/third_party/libvpx/libvpx/tokenize.o [ 974s] [1327/2033] CC obj/third_party/libvpx/libvpx/vp8_quantize.o [ 974s] [1328/2033] CC obj/third_party/libvpx/libvpx/vp9_quant_common.o [ 974s] [1329/2033] STAMP obj/api/task_queue/global_task_queue_factory.stamp [ 974s] [1330/2033] CC obj/third_party/libvpx/libvpx/vp9_entropymode.o [ 974s] [1331/2033] AR obj/rtc_base/experiments/libkeyframe_interval_settings_experiment.a [ 974s] [1332/2033] STAMP obj/api/video/video_frame.stamp [ 974s] [1333/2033] STAMP obj/api/rtc_stats_api.stamp [ 974s] [1334/2033] STAMP obj/api/audio/aec3_config.stamp [ 974s] [1335/2033] STAMP obj/api/refcountedbase.stamp [ 974s] [1336/2033] CC obj/third_party/libvpx/libvpx/bitstream.o [ 974s] [1337/2033] CC obj/third_party/libvpx/libvpx/pickinter.o [ 974s] [1338/2033] CC obj/third_party/libvpx/libvpx/vp9_idct.o [ 974s] [1339/2033] CC obj/third_party/libvpx/libvpx/vp9_pred_common.o [ 974s] [1340/2033] CC obj/third_party/libvpx/libvpx/vp9_scale.o [ 974s] [1341/2033] CC obj/third_party/libvpx/libvpx/vp9_rtcd.o [ 974s] [1342/2033] CC obj/third_party/libvpx/libvpx/vp9_seg_common.o [ 974s] [1343/2033] STAMP obj/api/audio/audio_frame_api.stamp [ 974s] [1344/2033] AR obj/api/audio_codecs/opus/libaudio_encoder_opus_config.a [ 974s] [1345/2033] STAMP obj/api/rtc_event_log_output_file.stamp [ 974s] [1346/2033] STAMP obj/api/rtp_headers.stamp [ 974s] [1347/2033] STAMP obj/api/video/encoded_image.stamp [ 974s] [1348/2033] STAMP obj/api/audio_codecs/audio_codecs_api.stamp [ 974s] [1349/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/inv_txfm_sse2.o [ 974s] [1350/2033] CC obj/third_party/libvpx/libvpx/vp8_cx_iface.o [ 974s] [1351/2033] CC obj/third_party/libvpx/libvpx/vp9_mvref_common.o [ 974s] [1352/2033] CC obj/third_party/libvpx/libvpx/vp9_mfqe.o [ 974s] [1353/2033] CC obj/third_party/libvpx/libvpx/vp9_reconinter.o [ 974s] [1354/2033] STAMP obj/logging/rtc_event_log_api.stamp [ 974s] [1355/2033] AR obj/logging/librtc_event_log_impl_base.a [ 974s] [1356/2033] AR obj/rtc_base/experiments/librtt_mult_experiment.a [ 974s] [1357/2033] STAMP obj/modules/audio_device/audio_device_api.stamp [ 974s] [1358/2033] STAMP obj/modules/audio_processing/agc2/common.stamp [ 974s] [1359/2033] STAMP obj/modules/audio_processing/agc2/biquad_filter.stamp [ 974s] [1360/2033] STAMP obj/modules/audio_processing/utility/block_mean_calculator.stamp [ 974s] [1361/2033] STAMP obj/modules/pacing/interval_budget.stamp [ 974s] [1362/2033] STAMP obj/api/audio/audio_mixer_api.stamp [ 974s] [1363/2033] STAMP obj/modules/rtp_rtcp/rtp_video_header.stamp [ 974s] [1364/2033] AR obj/rtc_base/librtc_numerics.a [ 974s] [1365/2033] STAMP obj/api/transport/media/video_interfaces.stamp [ 974s] [1366/2033] CC obj/third_party/libvpx/libvpx/vp9_postproc.o [ 974s] [1367/2033] CC obj/third_party/libvpx/libvpx/vp9_reconintra.o [ 974s] [1368/2033] AR obj/rtc_base/experiments/libalr_experiment.a [ 974s] [1369/2033] STAMP obj/api/video_codecs/video_codecs_api.stamp [ 974s] [1370/2033] AR obj/modules/audio_coding/libaudio_coding_opus_common.a [ 974s] [1371/2033] AR obj/modules/audio_coding/libisac_common.a [ 974s] [1372/2033] AR obj/modules/audio_coding/liblegacy_encoded_audio_frame.a [ 974s] [1373/2033] STAMP obj/rtc_base/audio_format_to_string.stamp [ 974s] [1374/2033] AR obj/rtc_base/experiments/libaudio_allocation_settings.a [ 974s] [1375/2033] STAMP obj/logging/rtc_event_pacing.stamp [ 974s] [1376/2033] AR obj/rtc_base/experiments/libbalanced_degradation_settings.a [ 974s] [1377/2033] AR obj/rtc_base/experiments/libcpu_speed_experiment.a [ 974s] [1378/2033] STAMP obj/modules/audio_device/audio_device_default.stamp [ 974s] [1379/2033] STAMP obj/modules/audio_processing/agc2/gain_applier.stamp [ 974s] [1380/2033] AR obj/rtc_base/experiments/libjitter_upper_bound_experiment.a [ 974s] [1381/2033] AR obj/rtc_base/experiments/libnormalize_simulcast_size_experiment.a [ 974s] [1382/2033] AR obj/rtc_base/experiments/libquality_scaler_settings.a [ 974s] [1383/2033] STAMP obj/rtc_base/system/thread_registry.stamp [ 974s] [1384/2033] STAMP obj/modules/module_api.stamp [ 974s] [1385/2033] STAMP obj/system_wrappers/metrics.stamp [ 974s] [1386/2033] CXX obj/pc/peerconnection/rtc_stats_collector.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../pc/rtc_stats_collector.h:25, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/data_channel.h:23, [ 974s] from ../../../../pc/rtc_stats_collector.h:27, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection_internal.h:20, [ 974s] from ../../../../pc/rtc_stats_collector.h:28, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 974s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtc_stats_collector.cc:26: [ 974s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 974s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../pc/rtc_stats_collector.h:20, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:24, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../pc/rtc_stats_collector.h:25, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../pc/rtc_stats_collector.h:20, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/audio_receive_stream.h:24, [ 974s] from ../../../../call/call.h:19, [ 974s] from ../../../../pc/rtc_stats_collector.h:25, [ 974s] from ../../../../pc/rtc_stats_collector.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] ../../../../pc/rtc_stats_collector.cc: In function 'const char* webrtc::{anonymous}::QualityLimitationReasonToRTCQualityLimitationReason(webrtc::QualityLimitationReason)': [ 974s] ../../../../pc/rtc_stats_collector.cc:213:1: warning: control reaches end of non-void function [-Wreturn-type] [ 974s] 213 | } [ 974s] | ^ [ 974s] [1387/2033] CC obj/third_party/libvpx/libvpx/vp9_loopfilter.o [ 974s] [1388/2033] AR obj/stats/librtc_stats.a [ 974s] [1389/2033] AR obj/system_wrappers/libsystem_wrappers.a [ 974s] [1390/2033] CC obj/third_party/libvpx/libvpx/vp9_scan.o [ 974s] [1391/2033] STAMP obj/api/video/video_bitrate_allocator_factory.stamp [ 974s] [1392/2033] STAMP obj/media/rtc_vp9_profile.stamp [ 974s] [1393/2033] AR obj/rtc_base/experiments/librate_control_settings.a [ 974s] [1394/2033] AR obj/modules/audio_coding/libg722.a [ 974s] [1395/2033] AR obj/modules/audio_coding/libg711.a [ 974s] [1396/2033] AR obj/rtc_base/experiments/libquality_scaling_experiment.a [ 974s] [1397/2033] STAMP obj/modules/congestion_controller/goog_cc/alr_detector.stamp [ 974s] [1398/2033] CC obj/third_party/libvpx/libvpx/vp9_tile_common.o [ 974s] [1399/2033] STAMP obj/modules/video_processing/denoiser_filter.stamp [ 974s] [1400/2033] CXX obj/third_party/jsoncpp/jsoncpp/json_value.o [ 974s] [1401/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_idct32x32_add_sse2.o [ 974s] [1402/2033] CC obj/third_party/libvpx/libvpx/mcomp.o [ 974s] [1403/2033] CC obj/third_party/libvpx/libvpx/rdopt.o [ 974s] [1404/2033] CC obj/third_party/libvpx/libvpx/vp9_thread_common.o [ 974s] [1405/2033] CC obj/third_party/libvpx/libvpx/vp9_job_queue.o [ 974s] [1406/2033] CC obj/third_party/libvpx/libvpx/vp9_dsubexp.o [ 974s] [1407/2033] CC obj/third_party/libvpx/libvpx/vp9_cost.o [ 974s] [1408/2033] STAMP obj/stats/stats.stamp [ 974s] [1409/2033] STAMP obj/common_audio/common_audio_cc.stamp [ 974s] [1410/2033] STAMP obj/common_audio/sinc_resampler.stamp [ 974s] [1411/2033] STAMP obj/modules/audio_processing/audio_generator_interface.stamp [ 974s] [1412/2033] STAMP obj/rtc_base/rate_limiter.stamp [ 974s] [1413/2033] STAMP obj/modules/congestion_controller/goog_cc/pushback_controller.stamp [ 974s] [1414/2033] AR obj/api/audio_codecs/g722/libaudio_decoder_g722.a [ 974s] [1415/2033] AR obj/api/audio_codecs/g711/libaudio_encoder_g711.a [ 974s] [1416/2033] AR obj/api/audio_codecs/g722/libaudio_encoder_g722.a [ 974s] [1417/2033] CXX obj/pc/peerconnection/peer_connection_factory.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/channel_manager.h:28, [ 974s] from ../../../../pc/peer_connection_factory.h:23, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 974s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection_factory.cc:35: [ 974s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 974s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/peer_connection_proxy.h: In instantiation of 'class webrtc::PeerConnectionProxyWithInternal': [ 974s] ../../../../pc/peer_connection_factory.cc:282:29: required from here [ 974s] ../../../../api/peer_connection_interface.h:1098:16: warning: 'virtual bool webrtc::PeerConnectionInterface::StartRtcEventLog(std::unique_ptr)' was hidden [-Woverloaded-virtual] [ 974s] 1098 | virtual bool StartRtcEventLog(std::unique_ptr output); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/peer_connection_proxy.h:136:15: warning: by 'webrtc::PeerConnectionProxyWithInternal::StartRtcEventLog' [-Woverloaded-virtual] [ 974s] 136 | StartRtcEventLog, [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] ../../../../api/proxy.h:512:5: note: in definition of macro 'PROXY_METHOD2' [ 974s] 512 | r method(t1 a1, t2 a2) override { \ [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 974s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/peer_connection_proxy.h:119:25: warning: by 'webrtc::RTCError webrtc::PeerConnectionProxyWithInternal::SetBitrate(const webrtc::BitrateSettings&) [with INTERNAL_CLASS = webrtc::PeerConnectionInterface]' [-Woverloaded-virtual] [ 974s] 119 | PROXY_METHOD1(RTCError, SetBitrate, const BitrateSettings&) [ 974s] | ^~~~~~~~~~ [ 974s] ../../../../api/proxy.h:500:5: note: in definition of macro 'PROXY_METHOD1' [ 974s] 500 | r method(t1 a1) override { \ [ 974s] | ^~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/peer_connection_factory.h:18, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/peer_connection_factory.h:18, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../api/proxy.h:172:35: required from 'void webrtc::MethodCall0::OnMessage(rtc::Message*) [with C = webrtc::PeerConnectionInterface; R = webrtc::PeerConnectionInterface::RTCConfiguration]' [ 974s] ../../../../api/proxy.h:172:8: required from here [ 974s] ../../../../api/proxy.h:77:8: warning: implicitly-declared 'webrtc::PeerConnectionInterface::RTCConfiguration& webrtc::PeerConnectionInterface::RTCConfiguration::operator=(const webrtc::PeerConnectionInterface::RTCConfiguration&)' is deprecated [-Wdeprecated-copy] [ 974s] 77 | r_ = (c->*m)(); [ 974s] | ~~~^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:300:5: note: because 'webrtc::PeerConnectionInterface::RTCConfiguration' has user-provided 'webrtc::PeerConnectionInterface::RTCConfiguration::RTCConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&)' [ 974s] 300 | RTCConfiguration(const RTCConfiguration&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/media_stream_interface.h:25, [ 974s] from ../../../../pc/peer_connection_factory.h:18, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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]' [ 974s] ../../../../api/proxy.h:172:35: required from 'void webrtc::MethodCall0::OnMessage(rtc::Message*) [with C = webrtc::PeerConnectionInterface; R = webrtc::PeerConnectionInterface::RTCConfiguration]' [ 974s] ../../../../api/proxy.h:172:8: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/peer_connection_interface.h:80, [ 974s] from ../../../../pc/peer_connection_factory.h:20, [ 974s] from ../../../../pc/peer_connection_factory.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] [1418/2033] CC obj/third_party/libvpx/libvpx/vp9_detokenize.o [ 974s] [1419/2033] CC obj/third_party/libvpx/libvpx/vp9_decoder.o [ 974s] [1420/2033] CC obj/third_party/libvpx/libvpx/vp9_context_tree.o [ 974s] [1421/2033] AR obj/api/audio_codecs/g711/libaudio_decoder_g711.a [ 974s] [1422/2033] AR obj/modules/audio_coding/libpcm16b.a [ 974s] [1423/2033] AR obj/modules/video_processing/libvideo_processing_sse2.a [ 974s] [1424/2033] STAMP obj/third_party/jsoncpp/jsoncpp.stamp [ 974s] [1425/2033] STAMP obj/common_audio/common_audio_c.stamp [ 974s] [1426/2033] AR obj/common_audio/libcommon_audio_sse2.a [ 974s] [1427/2033] STAMP obj/modules/audio_processing/api.stamp [ 974s] [1428/2033] CXX obj/pc/rtc_pc_base/jsep_transport_controller.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/jsep_transport_controller.h:24, [ 974s] from ../../../../pc/jsep_transport_controller.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/jsep_transport_controller.h:30, [ 974s] from ../../../../pc/jsep_transport_controller.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] [1429/2033] CC obj/third_party/libvpx/libvpx/onyx_if.o [ 974s] [1430/2033] CC obj/third_party/libvpx/libvpx/vp9_aq_cyclicrefresh.o [ 974s] [1431/2033] CC obj/third_party/libvpx/libvpx/vp9_extend.o [ 974s] [1432/2033] CC obj/third_party/libvpx/libvpx/vp9_lookahead.o [ 974s] [1433/2033] CC obj/third_party/libvpx/libvpx/vp9_frame_scale.o [ 974s] [1434/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/fwd_txfm_avx2.o [ 974s] [1435/2033] AR obj/api/audio_codecs/L16/libaudio_decoder_L16.a [ 974s] [1436/2033] AR obj/api/audio_codecs/L16/libaudio_encoder_L16.a [ 974s] [1437/2033] STAMP obj/rtc_base/rtc_json.stamp [ 974s] [1438/2033] CC obj/third_party/libvpx/libvpx/vp9_picklpf.o [ 974s] [1439/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx/vp9_diamond_search_sad_avx.o [ 974s] [1440/2033] AR obj/modules/audio_coding/libwebrtc_cng.a [ 974s] [1441/2033] AR obj/common_audio/libcommon_audio.a [ 974s] [1442/2033] STAMP obj/common_audio/fir_filter_factory.stamp [ 974s] [1443/2033] STAMP obj/modules/audio_device/audio_device_buffer.stamp [ 974s] [1444/2033] STAMP obj/modules/audio_processing/noise_suppression_proxy.stamp [ 974s] [1445/2033] STAMP obj/modules/audio_processing/gain_control_config_proxy.stamp [ 974s] [1446/2033] STAMP obj/modules/audio_processing/aecm/aecm_core.stamp [ 974s] [1447/2033] CC obj/third_party/libvpx/libvpx/vp9_denoiser.o [ 974s] [1448/2033] CC obj/third_party/libvpx/libvpx/vp9_ethread.o [ 974s] [1449/2033] CC obj/third_party/libvpx/libvpx/vp9_multi_thread.o [ 974s] [1450/2033] CC obj/third_party/libvpx/libvpx_intrinsics_mmx/idct_blk_mmx.o [ 974s] [1451/2033] AR obj/rtc_base/librtc_base.a [ 974s] [1452/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_avx.stamp [ 974s] [1453/2033] AR obj/audio/utility/libaudio_frame_operations.a [ 974s] [1454/2033] STAMP obj/modules/audio_processing/apm_logging.stamp [ 974s] [1455/2033] AR obj/modules/audio_coding/libaudio_encoder_cng.a [ 974s] [1456/2033] STAMP obj/modules/audio_coding/ilbc_c.stamp [ 974s] [1457/2033] CC obj/third_party/libvpx/libvpx/vp9_encodemv.o [ 974s] [1458/2033] CC obj/third_party/libvpx/libvpx/vp9_noise_estimate.o [ 974s] [1459/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp9_highbd_block_error_intrin_sse2.o [ 974s] [1460/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/avg_pred_sse2.o [ 974s] [1461/2033] AR obj/modules/audio_coding/libisac_c.a [ 974s] [1462/2033] AR obj/modules/audio_coding/libneteq.a [ 974s] [1463/2033] STAMP obj/modules/audio_device/audio_device_generic.stamp [ 974s] [1464/2033] AR obj/modules/audio_processing/libaudio_buffer.a [ 974s] [1465/2033] STAMP obj/modules/audio_processing/agc/agc_legacy_c.stamp [ 974s] [1466/2033] AR obj/modules/utility/libutility.a [ 974s] [1467/2033] STAMP obj/api/simulated_network_api.stamp [ 974s] [1468/2033] AR obj/api/libjingle_peerconnection_api.a [ 974s] [1469/2033] STAMP obj/media/rtc_h264_profile_id.stamp [ 974s] [1470/2033] STAMP obj/modules/audio_processing/aec/aec_core.stamp [ 974s] [1471/2033] CXX obj/pc/rtc_pc_base/channel.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/channel.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../pc/channel_manager.h:23, [ 974s] from ../../../../pc/channel.cc:24: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/channel.cc: In member function 'bool cricket::BaseChannel::SendPacket(bool, rtc::CopyOnWriteBuffer*, const rtc::PacketOptions&)': [ 974s] ../../../../pc/channel.cc:410:21: warning: implicitly-declared 'rtc::PacketOptions& rtc::PacketOptions::operator=(const rtc::PacketOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 410 | data->options = options; [ 974s] | ^~~~~~~ [ 974s] In file included from ../../../../media/base/media_channel.h:42, [ 974s] from ../../../../pc/channel.h:28, [ 974s] from ../../../../pc/channel.cc:11: [ 974s] ../../../../rtc_base/async_packet_socket.h:42:3: note: because 'rtc::PacketOptions' has user-provided 'rtc::PacketOptions::PacketOptions(const rtc::PacketOptions&)' [ 974s] 42 | PacketOptions(const PacketOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../rtc_base/async_packet_socket.h: In member function 'rtc::PacketOptions& rtc::PacketOptions::operator=(const rtc::PacketOptions&)': [ 974s] ../../../../rtc_base/async_packet_socket.h:39:8: warning: implicitly-declared 'rtc::PacketTimeUpdateParams& rtc::PacketTimeUpdateParams::operator=(const rtc::PacketTimeUpdateParams&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | struct PacketOptions { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../rtc_base/async_packet_socket.h:28:3: note: because 'rtc::PacketTimeUpdateParams' has user-provided 'rtc::PacketTimeUpdateParams::PacketTimeUpdateParams(const rtc::PacketTimeUpdateParams&)' [ 974s] 28 | PacketTimeUpdateParams(const PacketTimeUpdateParams& other); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../rtc_base/async_packet_socket.h:39:8: warning: implicitly-declared 'rtc::PacketInfo& rtc::PacketInfo::operator=(const rtc::PacketInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | struct PacketOptions { [ 974s] | ^~~~~~~~~~~~~ [ 974s] In file included from ../../../../rtc_base/async_packet_socket.h:16, [ 974s] from ../../../../media/base/media_channel.h:42, [ 974s] from ../../../../pc/channel.h:28, [ 974s] from ../../../../pc/channel.cc:11: [ 974s] ../../../../rtc_base/network/sent_packet.h:40:3: note: because 'rtc::PacketInfo' has user-provided 'rtc::PacketInfo::PacketInfo(const rtc::PacketInfo&)' [ 974s] 40 | PacketInfo(const PacketInfo& info); [ 974s] | ^~~~~~~~~~ [ 974s] ../../../../pc/channel.cc: In member function 'bool cricket::BaseChannel::SendPacket(bool, rtc::CopyOnWriteBuffer*, const rtc::PacketOptions&)': [ 974s] ../../../../pc/channel.cc:410:21: note: synthesized method 'rtc::PacketOptions& rtc::PacketOptions::operator=(const rtc::PacketOptions&)' first required here [ 974s] 410 | data->options = options; [ 974s] | ^~~~~~~ [ 974s] [1472/2033] CC obj/third_party/libvpx/libvpx/vp9_dct.o [ 974s] [1473/2033] AR obj/modules/audio_mixer/libaudio_frame_manipulator.a [ 974s] [1474/2033] AR obj/modules/audio_coding/libilbc.a [ 974s] [1475/2033] STAMP obj/modules/audio_processing/agc2/fixed_digital.stamp [ 974s] [1476/2033] STAMP obj/modules/audio_processing/agc2/noise_level_estimator.stamp [ 974s] [1477/2033] AR obj/modules/audio_processing/vad/libvad.a [ 974s] [1478/2033] STAMP obj/rtc_base/memory/fifo_buffer.stamp [ 974s] [1479/2033] AR obj/modules/audio_coding/libisac.a [ 974s] [1480/2033] AR obj/modules/audio_coding/libaudio_coding.a [ 974s] [1481/2033] CC obj/third_party/libvpx/libvpx_intrinsics_mmx/emms_mmx.o [ 974s] [1482/2033] AR obj/modules/audio_processing/aec3/libaec3.a [ 974s] [1483/2033] STAMP obj/modules/audio_processing/audio_processing_c.stamp [ 974s] [1484/2033] STAMP obj/modules/audio_device/audio_device_impl.stamp [ 974s] [1485/2033] STAMP obj/call/simulated_network.stamp [ 974s] [1486/2033] STAMP obj/api/video/video_stream_encoder.stamp [ 974s] [1487/2033] STAMP obj/api/api.stamp [ 974s] [1488/2033] CC obj/third_party/libvpx/libvpx/vp9_encodemb.o [ 974s] [1489/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/variance_avx2.o [ 974s] [1490/2033] STAMP obj/logging/ice_log.stamp [ 974s] [1491/2033] STAMP obj/logging/rtc_stream_config.stamp [ 974s] [1492/2033] AR obj/logging/librtc_event_log_impl_encoder.a [ 974s] [1493/2033] STAMP obj/modules/audio_processing/aec/aec.stamp [ 974s] [1494/2033] AR obj/api/audio_codecs/ilbc/libaudio_encoder_ilbc.a [ 974s] [1495/2033] AR obj/api/audio_codecs/ilbc/libaudio_decoder_ilbc.a [ 974s] [1496/2033] STAMP obj/modules/audio_processing/agc/level_estimation.stamp [ 974s] [1497/2033] AR obj/api/audio_codecs/isac/libaudio_decoder_isac_float.a [ 974s] [1498/2033] AR obj/api/audio_codecs/isac/libaudio_encoder_isac_float.a [ 974s] [1499/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_mmx.stamp [ 974s] [1500/2033] STAMP obj/api/audio/aec3_factory.stamp [ 974s] [1501/2033] STAMP obj/modules/audio_device/audio_device.stamp [ 974s] [1502/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/bilinear_filter_sse2.o [ 974s] [1503/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_avx512.stamp [ 974s] [1504/2033] AR obj/p2p/librtc_p2p.a [ 974s] [1505/2033] STAMP obj/logging/rtc_event_audio.stamp [ 974s] [1506/2033] STAMP obj/logging/rtc_event_video.stamp [ 974s] [1507/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/idct_blk_sse2.o [ 974s] [1508/2033] STAMP obj/api/audio_codecs/isac/audio_decoder_isac.stamp [ 974s] [1509/2033] STAMP obj/api/audio_codecs/isac/audio_encoder_isac.stamp [ 974s] [1510/2033] CC obj/third_party/libvpx/libvpx/vp9_decodemv.o [ 974s] [1511/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/loopfilter_avx2.o [ 974s] [1512/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp8_enc_stubs_sse2.o [ 974s] [1513/2033] AR obj/p2p/libstunprober.a [ 974s] [1514/2033] AR obj/modules/audio_coding/libaudio_network_adaptor.a [ 974s] [1515/2033] CXX obj/pc/rtc_pc_base/media_session.o [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/dtls_srtp_transport.h:21, [ 974s] from ../../../../pc/jsep_transport.h:26, [ 974s] from ../../../../pc/media_session.h:26, [ 974s] from ../../../../pc/media_session.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../call/call.h:24, [ 974s] from ../../../../pc/channel_manager.h:23, [ 974s] from ../../../../pc/media_session.cc:30: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [1516/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp8_quantize_sse2.o [ 974s] [1517/2033] STAMP obj/p2p/p2p.stamp [ 974s] [1518/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp9_quantize_sse2.o [ 974s] [1519/2033] CXX obj/third_party/libyuv/libyuv_internal/convert_jpeg.o [ 974s] [1520/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/denoising_sse2.o [ 974s] [1521/2033] CXX obj/third_party/libyuv/libyuv_internal/compare_common.o [ 974s] [1522/2033] CXX obj/third_party/libyuv/libyuv_internal/mjpeg_decoder.o [ 974s] [1523/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp9_idct_intrin_sse2.o [ 974s] [1524/2033] CXX obj/third_party/libyuv/libyuv_internal/compare_gcc.o [ 974s] [1525/2033] CXX obj/third_party/libyuv/libyuv_internal/mjpeg_validate.o [ 974s] [1526/2033] CXX obj/third_party/libyuv/libyuv_internal/rotate_any.o [ 974s] [1527/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/vp9_error_avx2.o [ 974s] [1528/2033] CXX obj/third_party/libyuv/libyuv_internal/cpu_id.o [ 974s] [1529/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp9_denoiser_sse2.o [ 974s] [1530/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/vp9_quantize_avx2.o [ 974s] [1531/2033] CXX obj/third_party/libyuv/libyuv_internal/rotate_gcc.o [ 974s] [1532/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/avg_intrin_sse2.o [ 974s] [1533/2033] CXX obj/third_party/libyuv/libyuv_internal/convert_to_argb.o [ 974s] [1534/2033] CXX obj/third_party/libyuv/libyuv_internal/rotate_argb.o [ 974s] [1535/2033] CXX obj/third_party/libyuv/libyuv_internal/convert_to_i420.o [ 974s] [1536/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/sad_avx2.o [ 974s] [1537/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/sad4d_avx2.o [ 974s] [1538/2033] CXX obj/third_party/libyuv/libyuv_internal/rotate_common.o [ 974s] [1539/2033] CXX obj/pc/peerconnection/webrtc_sdp.o [ 974s] In file included from ../../../../pc/webrtc_sdp.cc:31: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../pc/webrtc_sdp.cc:29: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/rtp_transport.h:18, [ 974s] from ../../../../pc/srtp_transport.h:24, [ 974s] from ../../../../pc/dtls_srtp_transport.h:21, [ 974s] from ../../../../pc/jsep_transport.h:26, [ 974s] from ../../../../pc/media_session.h:26, [ 974s] from ../../../../pc/webrtc_sdp.cc:42: [ 974s] ../../../../pc/session_description.h: At global scope: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/webrtc_sdp.cc: In function 'bool webrtc::ParseCandidate(const string&, cricket::Candidate*, webrtc::SdpParseError*, bool)': [ 974s] ../../../../pc/webrtc_sdp.cc:1220:74: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 1220 | generation, foundation, network_id, network_cost); [ 974s] | ^ [ 974s] In file included from ../../../../pc/webrtc_sdp.cc:29: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] [1540/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/avg_intrin_avx2.o [ 974s] [1541/2033] CXX obj/third_party/libyuv/libyuv_internal/rotate.o [ 974s] [1542/2033] CXX obj/third_party/libyuv/libyuv_internal/video_common.o [ 974s] [1543/2033] CC obj/third_party/opus/opus/entcode.o [ 974s] [1544/2033] CXX obj/third_party/libyuv/libyuv_internal/compare.o [ 974s] [1545/2033] CXX obj/third_party/libyuv/libyuv_internal/scale_gcc.o [ 974s] [1546/2033] CC obj/third_party/opus/opus/cwrs.o [ 974s] [1547/2033] CC obj/third_party/libvpx/libvpx/vp9_bitstream.o [ 974s] [1548/2033] CC obj/third_party/opus/opus/celt.o [ 974s] [1549/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/highbd_idct16x16_add_sse2.o [ 974s] [1550/2033] CXX obj/third_party/libyuv/libyuv_internal/scale_any.o [ 974s] [1551/2033] CC obj/third_party/opus/opus/celt_lpc.o [ 974s] [1552/2033] CC obj/third_party/opus/opus/entdec.o [ 974s] [1553/2033] CXX obj/third_party/libyuv/libyuv_internal/convert_from_argb.o [ 974s] [1554/2033] CC obj/third_party/opus/opus/mathops.o [ 974s] [1555/2033] CXX obj/third_party/libyuv/libyuv_internal/scale_argb.o [ 974s] [1556/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/highbd_convolve_avx2.o [ 974s] [1557/2033] CC obj/third_party/opus/opus/laplace.o [ 974s] [1558/2033] CC obj/third_party/opus/opus/entenc.o [ 974s] [1559/2033] CXX obj/third_party/libyuv/libyuv_internal/row_gcc.o [ 974s] [1560/2033] CC obj/third_party/opus/opus/modes.o [ 974s] [1561/2033] CXX obj/third_party/libyuv/libyuv_internal/convert_from.o [ 974s] [1562/2033] CC obj/third_party/opus/opus/kiss_fft.o [ 974s] [1563/2033] CC obj/third_party/opus/opus/mdct.o [ 974s] [1564/2033] CC obj/third_party/opus/opus/LPC_analysis_filter.o [ 974s] [1565/2033] CC obj/third_party/opus/opus/HP_variable_cutoff.o [ 974s] [1566/2033] CC obj/third_party/opus/opus/LPC_fit.o [ 974s] [1567/2033] CC obj/third_party/libvpx/libvpx_intrinsics_avx2/vpx_subpixel_8t_intrin_avx2.o [ 974s] [1568/2033] CC obj/third_party/opus/opus/LPC_inv_pred_gain.o [ 974s] [1569/2033] CC obj/third_party/opus/opus/NLSF_VQ.o [ 974s] [1570/2033] CC obj/third_party/libvpx/libvpx/vp9_decodeframe.o [ 974s] [1571/2033] CC obj/third_party/opus/opus/NLSF_VQ_weights_laroia.o [ 974s] [1572/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_avx2.stamp [ 974s] [1573/2033] CC obj/third_party/opus/opus/CNG.o [ 974s] [1574/2033] CC obj/third_party/opus/opus/rate.o [ 974s] [1575/2033] CC obj/third_party/opus/opus/NLSF_decode.o [ 974s] [1576/2033] CC obj/third_party/opus/opus/pitch.o [ 974s] [1577/2033] CC obj/third_party/opus/opus/LP_variable_cutoff.o [ 974s] [1578/2033] CC obj/third_party/opus/opus/vq.o [ 974s] [1579/2033] CC obj/third_party/opus/opus/A2NLSF.o [ 974s] [1580/2033] CXX obj/third_party/libyuv/libyuv_internal/convert.o [ 974s] [1581/2033] CC obj/third_party/opus/opus/NLSF2A.o [ 974s] [1582/2033] CC obj/third_party/opus/opus/bwexpander.o [ 974s] [1583/2033] CC obj/third_party/opus/opus/quant_bands.o [ 974s] [1584/2033] CC obj/third_party/opus/opus/NLSF_unpack.o [ 974s] [1585/2033] CC obj/third_party/opus/opus/control_SNR.o [ 974s] [1586/2033] CC obj/third_party/opus/opus/NLSF_stabilize.o [ 974s] [1587/2033] CC obj/third_party/opus/opus/NLSF_encode.o [ 974s] [1588/2033] CC obj/third_party/opus/opus/ana_filt_bank_1.o [ 974s] [1589/2033] CC obj/third_party/opus/opus/bwexpander_32.o [ 974s] [1590/2033] CXX obj/third_party/libyuv/libyuv_internal/convert_argb.o [ 974s] [1591/2033] CC obj/third_party/opus/opus/NLSF_del_dec_quant.o [ 974s] [1592/2033] CC obj/third_party/opus/opus/VQ_WMat_EC.o [ 974s] [1593/2033] CC obj/third_party/opus/opus/check_control_input.o [ 974s] [1594/2033] CC obj/third_party/opus/opus/code_signs.o [ 974s] [1595/2033] CC obj/third_party/opus/opus/control_audio_bandwidth.o [ 974s] [1596/2033] CC obj/third_party/opus/opus/debug.o [ 974s] [1597/2033] CXX obj/third_party/libyuv/libyuv_internal/scale.o [ 974s] [1598/2033] CC obj/third_party/opus/opus/biquad_alt.o [ 974s] [1599/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/vp9_dct_intrin_sse2.o [ 974s] [1600/2033] CC obj/third_party/opus/opus/decode_frame.o [ 974s] [1601/2033] CC obj/third_party/opus/opus/VAD.o [ 974s] [1602/2033] CC obj/third_party/opus/opus/decode_parameters.o [ 974s] [1603/2033] CC obj/third_party/opus/opus/decode_pitch.o [ 974s] [1604/2033] CC obj/third_party/opus/opus/decode_indices.o [ 974s] [1605/2033] CC obj/third_party/opus/opus/decode_pulses.o [ 974s] [1606/2033] CXX obj/third_party/libyuv/libyuv_internal/scale_common.o [ 974s] [1607/2033] CC obj/third_party/opus/opus/decoder_set_fs.o [ 974s] [1608/2033] CC obj/third_party/opus/opus/celt_decoder.o [ 974s] [1609/2033] CC obj/third_party/opus/opus/control_codec.o [ 974s] [1610/2033] CC obj/third_party/opus/opus/init_decoder.o [ 974s] [1611/2033] CC obj/third_party/opus/opus/inner_prod_aligned.o [ 974s] [1612/2033] CC obj/third_party/opus/opus/encode_indices.o [ 974s] [1613/2033] CC obj/third_party/opus/opus/init_encoder.o [ 974s] [1614/2033] CC obj/third_party/opus/opus/lin2log.o [ 974s] [1615/2033] CC obj/third_party/opus/opus/interpolate.o [ 974s] [1616/2033] CC obj/third_party/opus/opus/log2lin.o [ 974s] [1617/2033] CC obj/third_party/opus/opus/pitch_est_tables.o [ 974s] [1618/2033] CC obj/third_party/opus/opus/NSQ.o [ 974s] [1619/2033] CC obj/third_party/opus/opus/process_NLSFs.o [ 974s] [1620/2033] CC obj/third_party/opus/opus/decode_core.o [ 974s] [1621/2033] CC obj/third_party/opus/opus/gain_quant.o [ 974s] [1622/2033] CC obj/third_party/opus/opus/quant_LTP_gains.o [ 974s] [1623/2033] CC obj/third_party/opus/opus/resampler.o [ 974s] [1624/2033] CC obj/third_party/opus/opus/resampler_down2.o [ 974s] [1625/2033] CC obj/third_party/opus/opus/resampler_down2_3.o [ 974s] [1626/2033] CC obj/third_party/opus/opus/bands.o [ 974s] [1627/2033] CC obj/third_party/opus/opus/dec_API.o [ 974s] [1628/2033] CC obj/third_party/opus/opus/encode_pulses.o [ 974s] [1629/2033] CC obj/third_party/opus/opus/resampler_private_IIR_FIR.o [ 974s] [1630/2033] CC obj/third_party/opus/opus/resampler_private_AR2.o [ 974s] [1631/2033] CC obj/third_party/opus/opus/sigm_Q15.o [ 974s] [1632/2033] CC obj/third_party/opus/opus/resampler_rom.o [ 974s] [1633/2033] CC obj/third_party/opus/opus/PLC.o [ 974s] [1634/2033] CC obj/third_party/opus/opus/enc_API.o [ 974s] [1635/2033] CC obj/third_party/opus/opus/resampler_private_up2_HQ.o [ 974s] [1636/2033] CC obj/third_party/opus/opus/sort.o [ 974s] [1637/2033] CC obj/third_party/opus/opus/stereo_decode_pred.o [ 974s] [1638/2033] CC obj/third_party/opus/opus/stereo_encode_pred.o [ 974s] [1639/2033] CC obj/third_party/opus/opus/table_LSF_cos.o [ 974s] [1640/2033] CC obj/third_party/opus/opus/shell_coder.o [ 974s] [1641/2033] CC obj/third_party/opus/opus/stereo_MS_to_LR.o [ 974s] [1642/2033] CC obj/third_party/opus/opus/stereo_quant_pred.o [ 974s] [1643/2033] CC obj/third_party/opus/opus/stereo_find_predictor.o [ 974s] [1644/2033] CC obj/third_party/opus/opus/sum_sqr_shift.o [ 974s] [1645/2033] CC obj/third_party/opus/opus/tables_LTP.o [ 974s] [1646/2033] CC obj/third_party/opus/opus/tables_NLSF_CB_NB_MB.o [ 974s] [1647/2033] CC obj/third_party/opus/opus/tables_NLSF_CB_WB.o [ 974s] [1648/2033] CC obj/third_party/opus/opus/tables_other.o [ 974s] [1649/2033] CC obj/third_party/opus/opus/tables_gain.o [ 974s] [1650/2033] CC obj/third_party/opus/opus/tables_pitch_lag.o [ 974s] [1651/2033] CC obj/third_party/opus/opus/tables_pulses_per_block.o [ 974s] [1652/2033] CC obj/third_party/opus/opus/mlp_data.o [ 974s] [1653/2033] CXX obj/third_party/libyuv/libyuv_internal/planar_functions.o [ 974s] [1654/2033] CC obj/third_party/opus/opus/NSQ_del_dec.o [ 974s] [1655/2033] CC obj/third_party/opus/opus/resampler_private_down_FIR.o [ 974s] [1656/2033] CC obj/third_party/opus/opus/stereo_LR_to_MS.o [ 974s] [1657/2033] CC obj/third_party/opus/opus/mlp.o [ 974s] [1658/2033] CC obj/third_party/opus/opus/opus_multistream.o [ 974s] [1659/2033] CC obj/third_party/opus/opus/pitch_sse2.o [ 974s] [1660/2033] CC obj/third_party/opus/opus/x86_celt_map.o [ 974s] [1661/2033] CC obj/third_party/opus/opus/repacketizer.o [ 974s] [1662/2033] CC obj/third_party/opus/opus/x86cpu.o [ 974s] [1663/2033] CC obj/third_party/opus/opus/x86_silk_map.o [ 974s] [1664/2033] CC obj/third_party/opus/opus/opus.o [ 974s] [1665/2033] CC obj/third_party/opus/opus/pitch_sse.o [ 974s] [1666/2033] CC obj/third_party/opus/opus/LPC_inv_pred_gain_FLP.o [ 974s] [1667/2033] CC obj/third_party/opus/opus/LTP_analysis_filter_FLP.o [ 974s] [1668/2033] CC obj/third_party/opus/opus/autocorrelation_FLP.o [ 974s] [1669/2033] CC obj/third_party/opus/opus/LTP_scale_ctrl_FLP.o [ 974s] [1670/2033] CC obj/third_party/opus/opus/bwexpander_FLP.o [ 974s] [1671/2033] CC obj/third_party/opus/opus/opus_multistream_decoder.o [ 974s] [1672/2033] CC obj/third_party/opus/opus/vq_sse2.o [ 974s] [1673/2033] CC obj/third_party/opus/opus/apply_sine_window_FLP.o [ 974s] [1674/2033] CC obj/third_party/opus/opus/energy_FLP.o [ 974s] [1675/2033] CC obj/third_party/opus/opus/LPC_analysis_filter_FLP.o [ 974s] [1676/2033] CC obj/third_party/opus/opus/find_LPC_FLP.o [ 974s] [1677/2033] CC obj/third_party/opus/opus/find_LTP_FLP.o [ 974s] [1678/2033] CC obj/third_party/opus/opus/find_pitch_lags_FLP.o [ 974s] [1679/2033] CC obj/third_party/opus/opus/find_pred_coefs_FLP.o [ 974s] [1680/2033] CC obj/third_party/opus/opus/burg_modified_FLP.o [ 974s] [1681/2033] CC obj/third_party/opus/opus/corrMatrix_FLP.o [ 974s] [1682/2033] CC obj/third_party/opus/opus/inner_product_FLP.o [ 974s] [1683/2033] CC obj/third_party/opus/opus/k2a_FLP.o [ 974s] [1684/2033] CC obj/third_party/opus/opus/regularize_correlations_FLP.o [ 974s] [1685/2033] CC obj/third_party/opus/opus/process_gains_FLP.o [ 974s] [1686/2033] CC obj/third_party/opus/opus/scale_vector_FLP.o [ 974s] [1687/2033] CC obj/third_party/opus/opus/residual_energy_FLP.o [ 974s] [1688/2033] CC obj/third_party/opus/opus/scale_copy_vector_FLP.o [ 974s] [1689/2033] CC obj/third_party/opus/opus/sort_FLP.o [ 974s] [1690/2033] CC obj/third_party/opus/opus/warped_autocorrelation_FLP.o [ 974s] [1691/2033] CC obj/third_party/opus/opus/schur_FLP.o [ 974s] [1692/2033] CC obj/third_party/opus/opus_sse41/pitch_sse4_1.o [ 974s] [1693/2033] CXX obj/third_party/rnnoise/rnn_vad/rnn_vad_weights.o [ 974s] [1694/2033] CC obj/third_party/opus/opus/opus_decoder.o [ 974s] [1695/2033] CC obj/third_party/opus/opus/noise_shape_analysis_FLP.o [ 974s] [1696/2033] CC obj/third_party/pffft/pffft/pffft.o [ 974s] ../../../../third_party/pffft/src/pffft.c: In function 'validate_pffft_simd': [ 974s] ../../../../third_party/pffft/src/pffft.c:218:33: warning: variable 'u' set but not used [-Wunused-but-set-variable] [ 974s] 218 | v4sf_union a0, a1, a2, a3, t, u; [ 974s] | ^ [ 974s] ../../../../third_party/pffft/src/pffft.c:218:30: warning: variable 't' set but not used [-Wunused-but-set-variable] [ 974s] 218 | v4sf_union a0, a1, a2, a3, t, u; [ 974s] | ^ [ 974s] [1697/2033] CC obj/third_party/opus/opus/wrappers_FLP.o [ 974s] [1698/2033] STAMP obj/third_party/rnnoise/rnn_vad.stamp [ 974s] [1699/2033] CC obj/third_party/opus/opus/encode_frame_FLP.o [ 974s] [1700/2033] CC obj/third_party/usrsctp/usrsctp/sctp_bsd_addr.o [ 974s] [1701/2033] CC obj/third_party/usrsctp/usrsctp/sctp_crc32.o [ 974s] [1702/2033] AR obj/third_party/pffft/libpffft.a [ 974s] [1703/2033] CC obj/third_party/opus/opus/analysis.o [ 974s] [1704/2033] CC obj/third_party/opus/opus_sse41/VAD_sse.o [ 974s] [1705/2033] CC obj/third_party/usrsctp/usrsctp/sctp_callout.o [ 974s] [1706/2033] CC obj/third_party/usrsctp/usrsctp/sctp_sha1.o [ 974s] [1707/2033] CC obj/third_party/opus/opus/opus_multistream_encoder.o [ 974s] [1708/2033] CC obj/third_party/usrsctp/usrsctp/sctp_userspace.o [ 974s] [1709/2033] STAMP obj/modules/audio_processing/utility/pffft_wrapper.stamp [ 974s] [1710/2033] CC obj/third_party/usrsctp/usrsctp/sctp_peeloff.o [ 974s] [1711/2033] CC obj/third_party/usrsctp/usrsctp/sctp6_usrreq.o [ 974s] [1712/2033] CC obj/third_party/usrsctp/usrsctp/user_recv_thread.o [ 974s] [1713/2033] CC obj/third_party/usrsctp/usrsctp/sctp_sysctl.o [ 974s] [1714/2033] CC obj/third_party/usrsctp/usrsctp/user_environment.o [ 974s] [1715/2033] STAMP obj/modules/audio_processing/agc2/rnn_vad/rnn_vad.stamp [ 974s] [1716/2033] CC obj/third_party/opus/opus/celt_encoder.o [ 974s] [1717/2033] CC obj/third_party/opus/opus/pitch_analysis_core_FLP.o [ 974s] [1718/2033] STAMP obj/modules/audio_processing/agc2/rnn_vad_with_level.stamp [ 974s] [1719/2033] CC obj/third_party/libvpx/libvpx/vp9_encodeframe.o [ 974s] [1720/2033] CC obj/third_party/yasm/genmacro/genmacro.o [ 974s] [1721/2033] CC obj/third_party/libvpx/libvpx/vp9_pickmode.o [ 974s] [1722/2033] STAMP obj/modules/audio_processing/agc2/adaptive_digital.stamp [ 974s] [1723/2033] CC obj/third_party/yasm/genstring/genstring.o [ 974s] [1724/2033] CC obj/third_party/yasm/genversion/genversion.o [ 974s] [1725/2033] STAMP obj/modules/audio_processing/agc2/level_estimation_agc.stamp [ 974s] [1726/2033] STAMP obj/modules/audio_processing/agc/agc.stamp [ 974s] [1727/2033] LINK ./genmacro [ 974s] [1728/2033] CC obj/third_party/opus/opus_sse41/NSQ_del_dec_sse.o [ 974s] [1729/2033] CC obj/third_party/yasm/genmodule/genmodule.o [ 974s] [1730/2033] CC obj/third_party/yasm/re2c/main.o [ 974s] [1731/2033] AR obj/modules/audio_processing/libaudio_processing.a [ 974s] [1732/2033] CC obj/third_party/usrsctp/usrsctp/sctp_ss_functions.o [ 974s] [1733/2033] LINK ./genstring [ 974s] [1734/2033] LINK ./genversion [ 974s] [1735/2033] ACTION //third_party/yasm:compile_nasm_macros(//build/toolchain/linux:x86) [ 974s] [1736/2033] CC obj/third_party/yasm/re2c/mbo_getopt.o [ 974s] [1737/2033] ACTION //third_party/yasm:compile_win64_gas(//build/toolchain/linux:x86) [ 974s] [1738/2033] ACTION //third_party/yasm:compile_win64_nasm(//build/toolchain/linux:x86) [ 974s] [1739/2033] AR obj/modules/audio_mixer/libaudio_mixer_impl.a [ 974s] [1740/2033] STAMP obj/modules/audio_processing/aec_dump/aec_dump.stamp [ 974s] [1741/2033] CC obj/third_party/opus/opus_sse41/NSQ_sse.o [ 974s] [1742/2033] CC obj/third_party/usrsctp/usrsctp/sctp_asconf.o [ 974s] [1743/2033] CC obj/third_party/yasm/re2c/dfa.o [ 974s] [1744/2033] LINK ./genmodule [ 974s] [1745/2033] ACTION //third_party/yasm:generate_license(//build/toolchain/linux:x86) [ 974s] [1746/2033] ACTION //third_party/yasm:generate_version(//build/toolchain/linux:x86) [ 974s] [1747/2033] STAMP obj/third_party/yasm/compile_nasm_macros.stamp [ 974s] [1748/2033] STAMP obj/third_party/yasm/compile_win64_gas.stamp [ 974s] [1749/2033] STAMP obj/third_party/yasm/compile_win64_nasm.stamp [ 974s] [1750/2033] STAMP obj/modules/audio_mixer/audio_mixer.stamp [ 974s] [1751/2033] CC obj/third_party/yasm/genperf/perfect.o [ 974s] [1752/2033] CC obj/third_party/yasm/genperf/genperf.o [ 974s] [1753/2033] CC obj/third_party/yasm/re2c/parser.o [ 974s] [1754/2033] STAMP obj/modules/audio_processing/aec_dump/null_aec_dump_factory.stamp [ 974s] [1755/2033] STAMP obj/third_party/opus/opus_sse41.stamp [ 974s] [1756/2033] ACTION //third_party/yasm:generate_module(//build/toolchain/linux:x86) [ 974s] [1757/2033] STAMP obj/third_party/yasm/generate_license.stamp [ 974s] [1758/2033] STAMP obj/third_party/yasm/generate_version.stamp [ 974s] [1759/2033] CC obj/third_party/yasm/re2c/translate.o [ 974s] [1760/2033] CC obj/third_party/usrsctp/usrsctp/sctp_auth.o [ 974s] [1761/2033] CC obj/third_party/usrsctp/usrsctp/user_mbuf.o [ 974s] [1762/2033] CC obj/third_party/yasm/re2c/substr.o [ 974s] [1763/2033] STAMP obj/third_party/yasm/generate_module.stamp [ 974s] [1764/2033] CC obj/third_party/opus/opus/opus_encoder.o [ 974s] [1765/2033] CC obj/third_party/yasm/re2c/actions.o [ 974s] [1766/2033] ACTION //third_party/yasm:compile_nasm_version(//build/toolchain/linux:x86) [ 974s] [1767/2033] CC obj/third_party/yasm/yasm_utils/xstrdup.o [ 974s] [1768/2033] CC obj/third_party/yasm/yasm_utils/xmalloc.o [ 974s] [1769/2033] STAMP obj/third_party/yasm/compile_nasm_version.stamp [ 974s] [1770/2033] AR obj/third_party/opus/libopus.a [ 974s] [1771/2033] CC obj/third_party/usrsctp/usrsctp/sctp_cc_functions.o [ 974s] [1772/2033] STAMP obj/modules/audio_coding/webrtc_opus_c.stamp [ 974s] [1773/2033] AR obj/modules/audio_coding/libwebrtc_multiopus.a [ 974s] [1774/2033] AR obj/api/audio_codecs/opus/libaudio_decoder_multiopus.a [ 974s] [1775/2033] CC obj/third_party/libvpx/libvpx/vp9_encoder.o [ 974s] [1776/2033] CXX obj/third_party/libyuv/libyuv_internal/row_any.o [ 974s] [1777/2033] CC obj/third_party/usrsctp/usrsctp/sctp_timer.o [ 974s] [1778/2033] CC obj/third_party/yasm/re2c/scanner.o [ 974s] [1779/2033] STAMP obj/api/audio_codecs/opus/audio_encoder_multiopus.stamp [ 974s] [1780/2033] AR obj/modules/audio_coding/libwebrtc_opus.a [ 974s] [1781/2033] STAMP obj/api/audio_codecs/opus/audio_encoder_opus.stamp [ 974s] [1782/2033] CC obj/third_party/yasm/re2c/code.o [ 974s] [1783/2033] AR obj/api/audio_codecs/opus/libaudio_decoder_opus.a [ 974s] [1784/2033] AR obj/api/audio_codecs/libbuiltin_audio_encoder_factory.a [ 974s] [1785/2033] AR obj/api/audio_codecs/libbuiltin_audio_decoder_factory.a [ 974s] [1786/2033] LINK ./re2c [ 974s] [1787/2033] STAMP obj/third_party/yasm/compile_re2c.inputdeps.stamp [ 974s] [1788/2033] CC obj/third_party/yasm/yasm_utils/phash.o [ 974s] [1789/2033] ACTION //third_party/yasm:compile_re2c_lc3b(//build/toolchain/linux:x86) [ 974s] [1790/2033] STAMP obj/third_party/yasm/compile_re2c_lc3b.stamp [ 974s] [1791/2033] ACTION //third_party/yasm:compile_re2c(//build/toolchain/linux:x86) [ 974s] [1792/2033] ACTION //third_party/yasm:compile_re2c(//build/toolchain/linux:x86) [ 974s] [1793/2033] AR obj/third_party/yasm/libyasm_utils.a [ 974s] [1794/2033] STAMP obj/third_party/yasm/compile_re2c.stamp [ 974s] [1795/2033] LINK ./genperf [ 974s] [1796/2033] STAMP obj/third_party/yasm/compile_gperf_for_include.inputdeps.stamp [ 974s] [1797/2033] STAMP obj/third_party/yasm/compile_gperf.inputdeps.stamp [ 974s] [1798/2033] ACTION //third_party/yasm:compile_gperf_for_include(//build/toolchain/linux:x86) [ 974s] [1799/2033] ACTION //third_party/yasm:compile_gperf(//build/toolchain/linux:x86) [ 974s] [1800/2033] ACTION //third_party/yasm:compile_gperf(//build/toolchain/linux:x86) [ 974s] [1801/2033] STAMP obj/third_party/yasm/compile_gperf.stamp [ 974s] [1802/2033] CXX obj/video/video/transport_adapter.o [ 974s] [1803/2033] CXX obj/third_party/libyuv/libyuv_internal/row_common.o [ 974s] [1804/2033] AR obj/third_party/libyuv/libyuv_internal.a [ 974s] [1805/2033] CC obj/third_party/usrsctp/usrsctp/user_socket.o [ 974s] [1806/2033] STAMP obj/third_party/libyuv/libyuv.stamp [ 974s] [1807/2033] STAMP obj/api/video/video_frame_i420.stamp [ 974s] [1808/2033] ACTION //third_party/yasm:compile_gperf_for_include(//build/toolchain/linux:x86) [ 974s] [1809/2033] STAMP obj/api/video/video_frame_i010.stamp [ 974s] [1810/2033] STAMP obj/third_party/yasm/compile_gperf_for_include.stamp [ 974s] [1811/2033] CXX obj/video/video/quality_threshold.o [ 974s] [1812/2033] STAMP obj/third_party/yasm/yasm.inputdeps.stamp [ 974s] [1813/2033] AR obj/common_video/libcommon_video.a [ 974s] [1814/2033] STAMP obj/modules/rtp_rtcp/rtp_rtcp_format.stamp [ 974s] [1815/2033] STAMP obj/call/rtp_interfaces.stamp [ 974s] [1816/2033] STAMP obj/call/bitrate_configurator.stamp [ 974s] [1817/2033] STAMP obj/call/video_stream_api.stamp [ 974s] [1818/2033] STAMP obj/call/call_interfaces.stamp [ 974s] [1819/2033] STAMP obj/call/simulated_packet_receiver.stamp [ 974s] [1820/2033] STAMP obj/call/fake_network.stamp [ 974s] [1821/2033] STAMP obj/logging/rtc_event_rtp_rtcp.stamp [ 974s] [1822/2033] AR obj/media/librtc_media_base.a [ 974s] [1823/2033] CC obj/third_party/yasm/yasm/bc-align.o [ 974s] [1824/2033] CC obj/third_party/yasm/yasm/bc-org.o [ 974s] [1825/2033] CC obj/third_party/yasm/yasm/assocdat.o [ 974s] [1826/2033] CC obj/third_party/yasm/yasm/bc-incbin.o [ 974s] [1827/2033] AR obj/modules/congestion_controller/rtp/libtransport_feedback.a [ 974s] [1828/2033] AR obj/modules/remote_bitrate_estimator/libremote_bitrate_estimator.a [ 974s] [1829/2033] STAMP obj/modules/video_coding/video_codec_interface.stamp [ 974s] [1830/2033] CXX obj/video/video/rtp_streams_synchronizer.o [ 974s] [1831/2033] AR obj/modules/video_capture/libvideo_capture_module.a [ 974s] [1832/2033] STAMP obj/logging/rtc_event_bwe.stamp [ 974s] [1833/2033] CC obj/third_party/yasm/yasm/yasm-options.o [ 974s] [1834/2033] AR obj/modules/video_coding/libpacket.a [ 974s] [1835/2033] AR obj/modules/congestion_controller/libtransport_feedback.a [ 974s] [1836/2033] AR obj/api/video_codecs/librtc_software_fallback_wrappers.a [ 974s] [1837/2033] STAMP obj/modules/video_capture/video_capture_internal_impl.stamp [ 974s] [1838/2033] AR obj/modules/rtp_rtcp/librtp_rtcp.a [ 974s] [1839/2033] STAMP obj/logging/logging.stamp [ 974s] [1840/2033] STAMP obj/modules/congestion_controller/goog_cc/estimators.stamp [ 974s] [1841/2033] STAMP obj/modules/congestion_controller/goog_cc/probe_controller.stamp [ 974s] [1842/2033] CXX obj/video/video/stream_synchronization.o [ 974s] [1843/2033] AR obj/modules/video_coding/libnack_module.a [ 974s] [1844/2033] AR obj/modules/video_coding/libwebrtc_vp9_helpers.a [ 974s] [1845/2033] STAMP obj/call/rtp_receiver.stamp [ 974s] [1846/2033] CXX obj/video/video/report_block_stats.o [ 974s] [1847/2033] AR obj/modules/video_coding/libencoded_frame.a [ 974s] [1848/2033] AR obj/modules/pacing/libpacing.a [ 974s] [1849/2033] AR obj/modules/video_processing/libvideo_processing.a [ 974s] [1850/2033] STAMP obj/api/video/encoded_frame.stamp [ 974s] [1851/2033] STAMP obj/modules/congestion_controller/goog_cc/delay_based_bwe.stamp [ 974s] [1852/2033] STAMP obj/modules/video_coding/video_coding_utility.stamp [ 974s] [1853/2033] AR obj/api/video/libbuiltin_video_bitrate_allocator_factory.a [ 974s] [1854/2033] CC obj/third_party/yasm/yasm/bc-data.o [ 974s] [1855/2033] AR obj/modules/bitrate_controller/libbitrate_controller.a [ 974s] [1856/2033] CC obj/third_party/yasm/yasm/bc-reserve.o [ 974s] [1857/2033] CC obj/third_party/yasm/yasm/lc3barch.o [ 974s] [1858/2033] AR obj/media/librtc_simulcast_encoder_adapter.a [ 974s] [1859/2033] AR obj/modules/video_coding/libwebrtc_multiplex.a [ 974s] [1860/2033] STAMP obj/call/bitrate_allocator.stamp [ 974s] [1861/2033] AR obj/modules/congestion_controller/libcongestion_controller.a [ 974s] [1862/2033] AR obj/modules/congestion_controller/goog_cc/libgoog_cc.a [ 974s] [1863/2033] AR obj/media/librtc_encoder_simulcast_proxy.a [ 974s] [1864/2033] CXX obj/video/frame_dumping_decoder/frame_dumping_decoder.o [ 974s] [1865/2033] CXX obj/video/video_stream_encoder_impl/encoder_overshoot_detector.o [ 974s] [1866/2033] AR obj/modules/video_coding/libwebrtc_vp8_temporal_layers.a [ 974s] [1867/2033] AR obj/audio/libaudio.a [ 974s] [1868/2033] STAMP obj/modules/congestion_controller/rtp/control_handler.stamp [ 974s] [1869/2033] CXX obj/video/video/stats_counter.o [ 974s] [1870/2033] CC obj/third_party/yasm/yasm/bytecode.o [ 974s] [1871/2033] AR obj/api/transport/libgoog_cc.a [ 974s] [1872/2033] AR obj/modules/video_coding/libvideo_coding.a [ 974s] [1873/2033] AR obj/modules/video_coding/libwebrtc_h264.a [ 974s] [1874/2033] CC obj/third_party/usrsctp/usrsctp/sctp_input.o [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c: In function 'sctp_handle_stream_reset_response': [ 974s] ../../../../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] [ 974s] 3884 | sctp_reset_out_streams(stcb, number_entries, req_out_param->list_of_streams); [ 974s] | ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 974s] ../../../../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] [ 974s] 3897 | sctp_reset_clear_pending(stcb, number_entries, req_out_param->list_of_streams); [ 974s] | ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~ [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_input.c: In function 'sctp_handle_str_reset_request_out': [ 974s] ../../../../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] [ 974s] 4175 | sctp_reset_in_stream(stcb, number_entries, req->list_of_streams); [ 974s] | ~~~^~~~~~~~~~~~~~~~~ [ 974s] [1875/2033] CC obj/third_party/yasm/yasm/errwarn.o [ 974s] [1876/2033] AR obj/api/video_codecs/libvp8_temporal_layers_factory.a [ 974s] [1877/2033] STAMP obj/call/rtp_sender.stamp [ 974s] [1878/2033] STAMP obj/modules/modules.stamp [ 974s] [1879/2033] STAMP obj/video/frame_dumping_decoder.stamp [ 974s] [1880/2033] CC obj/third_party/yasm/yasm/yasm.o [ 974s] [1881/2033] CC obj/third_party/yasm/yasm/strsep.o [ 974s] [1882/2033] CC obj/third_party/yasm/yasm/insn.o [ 974s] [1883/2033] CC obj/third_party/yasm/yasm/strcasecmp.o [ 974s] [1884/2033] CC obj/third_party/yasm/yasm/hamt.o [ 974s] [1885/2033] CC obj/third_party/yasm/yasm/linemap.o [ 974s] [1886/2033] CC obj/third_party/usrsctp/usrsctp/sctp_pcb.o [ 974s] [1887/2033] CC obj/third_party/yasm/yasm/floatnum.o [ 974s] [1888/2033] CC obj/third_party/yasm/yasm/file.o [ 974s] [1889/2033] CC obj/third_party/yasm/yasm/lc3bbc.o [ 974s] [1890/2033] CC obj/third_party/yasm/yasm/md5.o [ 974s] [1891/2033] CC obj/third_party/yasm/yasm/expr.o [ 974s] [1892/2033] CC obj/third_party/usrsctp/usrsctp/sctputil.o [ 974s] [1893/2033] CC obj/third_party/yasm/yasm/inttree.o [ 974s] [1894/2033] CXX obj/video/video/video_quality_observer.o [ 974s] [1895/2033] CC obj/third_party/yasm/yasm/cv-dbgfmt.o [ 974s] [1896/2033] CC obj/third_party/yasm/yasm/mergesort.o [ 974s] [1897/2033] CC obj/third_party/yasm/yasm/intnum.o [ 974s] [1898/2033] CC obj/third_party/yasm/yasm/valparam.o [ 974s] [1899/2033] CC obj/third_party/yasm/yasm/null-dbgfmt.o [ 974s] [1900/2033] CC obj/third_party/yasm/yasm/x86arch.o [ 974s] [1901/2033] CC obj/third_party/yasm/yasm/nasmlib.o [ 974s] [1902/2033] CC obj/third_party/yasm/yasm/dwarf2-aranges.o [ 974s] [1903/2033] CC obj/third_party/yasm/yasm/symrec.o [ 974s] [1904/2033] CXX obj/video/video/buffered_frame_decryptor.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../video/buffered_frame_decryptor.h:20, [ 974s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../video/buffered_frame_decryptor.h:20, [ 974s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../video/buffered_frame_decryptor.h:19, [ 974s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../video/buffered_frame_decryptor.h:20, [ 974s] from ../../../../video/buffered_frame_decryptor.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1905/2033] CC obj/third_party/yasm/yasm/dwarf2-dbgfmt.o [ 974s] [1906/2033] CC obj/third_party/yasm/yasm/cv-type.o [ 974s] [1907/2033] CC obj/third_party/yasm/yasm/dwarf2-info.o [ 974s] [1908/2033] CC obj/third_party/yasm/yasm/value.o [ 974s] [1909/2033] CC obj/third_party/yasm/yasm/dbg-objfmt.o [ 974s] [1910/2033] CC obj/third_party/yasm/yasm/stabs-dbgfmt.o [ 974s] [1911/2033] CC obj/third_party/yasm/yasm/nasm-listfmt.o [ 974s] [1912/2033] CC obj/third_party/yasm/yasm/x86bc.o [ 974s] [1913/2033] CC obj/third_party/yasm/yasm/x86expr.o [ 974s] [1914/2033] CC obj/third_party/yasm/yasm/elf-x86-x32.o [ 974s] [1915/2033] CC obj/third_party/usrsctp/usrsctp/sctp_indata.o [ 974s] [1916/2033] CC obj/third_party/yasm/yasm/gas-parse-intel.o [ 974s] [1917/2033] CC obj/third_party/yasm/yasm/cv-symline.o [ 974s] [1918/2033] CC obj/third_party/yasm/yasm/elf-x86-amd64.o [ 974s] [1919/2033] CC obj/third_party/yasm/yasm/elf-x86-x86.o [ 974s] [1920/2033] CC obj/third_party/yasm/yasm/win64-except.o [ 974s] [1921/2033] CC obj/third_party/yasm/yasm/nasm-parser.o [ 974s] [1922/2033] CC obj/third_party/yasm/yasm/section.o [ 974s] [1923/2033] CC obj/third_party/yasm/yasm/dwarf2-line.o [ 974s] [1924/2033] CC obj/third_party/yasm/yasm/gas-parser.o [ 974s] [1925/2033] CXX obj/video/video/send_delay_stats.o [ 974s] [1926/2033] CC obj/third_party/yasm/yasm/cpp-preproc.o [ 974s] [1927/2033] CC obj/third_party/yasm/yasm/raw-preproc.o [ 974s] [1928/2033] CC obj/third_party/yasm/yasm/x86regtmod.o [ 974s] [1929/2033] CC obj/third_party/yasm/yasm/x86cpu.o [ 974s] [1930/2033] CC obj/third_party/yasm/yasm/rdf-objfmt.o [ 974s] [1931/2033] CC obj/third_party/yasm/yasm/nasm-preproc.o [ 974s] [1932/2033] CC obj/third_party/yasm/yasm/gas-eval.o [ 974s] [1933/2033] CC obj/third_party/yasm/yasm/elf.o [ 974s] [1934/2033] CC obj/third_party/yasm/yasm/nasm-eval.o [ 974s] [1935/2033] CC obj/third_party/yasm/yasm/module.o [ 974s] [1936/2033] CC obj/third_party/yasm/yasm/xdf-objfmt.o [ 974s] [1937/2033] CC obj/third_party/yasm/yasm/macho-objfmt.o [ 974s] [1938/2033] CC obj/third_party/yasm/yasm/elf-objfmt.o [ 974s] [1939/2033] CC obj/third_party/yasm/yasm/lc3bid.o [ 974s] [1940/2033] CC obj/third_party/yasm/yasm/bin-objfmt.o [ 974s] [1941/2033] CC obj/third_party/usrsctp/usrsctp/sctp_usrreq.o [ 974s] [1942/2033] CC obj/third_party/yasm/yasm/gas-token.o [ 974s] [1943/2033] CC obj/third_party/yasm/yasm/coff-objfmt.o [ 974s] [1944/2033] CC obj/third_party/yasm/yasm/gas-parse.o [ 974s] [1945/2033] CXX obj/video/video/video_stream_decoder.o [ 974s] In file included from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_decoder.cc:14: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_decoder.cc:14: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/rtp_headers.h:18, [ 974s] from ../../../../modules/include/module_common_types.h:18, [ 974s] from ../../../../modules/remote_bitrate_estimator/include/remote_bitrate_estimator.h:20, [ 974s] from ../../../../video/video_stream_decoder.h:21, [ 974s] from ../../../../video/video_stream_decoder.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../modules/video_coding/generic_decoder.h:17, [ 974s] from ../../../../modules/video_coding/decoder_database.h:17, [ 974s] from ../../../../modules/video_coding/video_coding_impl.h:21, [ 974s] from ../../../../video/video_stream_decoder.cc:14: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1946/2033] CXX obj/video/video_stream_encoder_impl/overuse_frame_detector.o [ 974s] [1947/2033] STAMP obj/video/video_stream_encoder_impl.stamp [ 974s] [1948/2033] STAMP obj/api/video/video_stream_encoder_create.stamp [ 974s] [1949/2033] CC obj/third_party/yasm/yasm/nasm-parse.o [ 974s] [1950/2033] CC obj/third_party/yasm/yasm/gas-preproc.o [ 974s] [1951/2033] CC obj/third_party/yasm/yasm/bitvect.o [ 974s] [1952/2033] CC obj/third_party/yasm/yasm/x86id.o [ 974s] [1953/2033] CC obj/third_party/libvpx/libvpx/vp9_mcomp.o [ 974s] [1954/2033] CC obj/third_party/yasm/yasm/nasm-token.o [ 974s] [1955/2033] CXX obj/video/video/video_send_stream.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../video/video_send_stream_impl.h:30, [ 974s] from ../../../../video/video_send_stream.cc:25: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] [1956/2033] CC obj/third_party/usrsctp/usrsctp/sctp_output.o [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c: In function 'send_forward_tsn': [ 974s] ../../../../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] [ 974s] 10973 | strseq_m = (struct sctp_strseq_mid *)fwdtsn; [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c:46: [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_header.h:407:8: note: defined here [ 974s] 407 | struct sctp_forward_tsn_chunk { [ 974s] | ^~~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_header.h:418:8: note: defined here [ 974s] 418 | struct sctp_strseq_mid { [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c: In function 'sctp_send_sack': [ 974s] ../../../../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] [ 974s] 11367 | dup = (uint32_t *) gap_descriptor; [ 974s] | ^~~ [ 974s] In file included from ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_output.c:46: [ 974s] ../../../../third_party/usrsctp/usrsctplib/usrsctplib/netinet/sctp_header.h:265:8: note: defined here [ 974s] 265 | struct sctp_gap_ack_block { [ 974s] | ^~~~~~~~~~~~~~~~~~ [ 974s] [1957/2033] AR obj/third_party/usrsctp/libusrsctp.a [ 974s] [1958/2033] AR obj/media/librtc_data.a [ 974s] [1959/2033] AR obj/pc/librtc_pc_base.a [ 974s] [1960/2033] CXX obj/video/video/video_send_stream_impl.o [ 974s] In file included from ../../../../logging/rtc_event_log/rtc_event_log.h:17, [ 974s] from ../../../../call/rtp_transport_controller_send_interface.h:27, [ 974s] from ../../../../video/video_send_stream_impl.h:30, [ 974s] from ../../../../video/video_send_stream_impl.cc:10: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../video/video_send_stream_impl.cc: In function 'webrtc::RtpSenderFrameEncryptionConfig webrtc::internal::{anonymous}::CreateFrameEncryptionConfig(const webrtc::VideoSendStream::Config*)': [ 974s] ../../../../video/video_send_stream_impl.cc:141:52: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 141 | frame_encryption_config.crypto_options = config->crypto_options; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../call/rtp_transport_controller_send_interface.h:23, [ 974s] from ../../../../video/video_send_stream_impl.h:30, [ 974s] from ../../../../video/video_send_stream_impl.cc:10: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] [1961/2033] CXX obj/video/video/rtp_video_stream_receiver.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../video/buffered_frame_decryptor.h:20, [ 974s] from ../../../../video/rtp_video_stream_receiver.h:44, [ 974s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../video/buffered_frame_decryptor.h:20, [ 974s] from ../../../../video/rtp_video_stream_receiver.h:44, [ 974s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../video/rtp_video_stream_receiver.h:21, [ 974s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_object.h:15, [ 974s] from ../../../../video/buffered_frame_decryptor.h:20, [ 974s] from ../../../../video/rtp_video_stream_receiver.h:44, [ 974s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../video/rtp_video_stream_receiver.h:21, [ 974s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/packet.h:20, [ 974s] from ../../../../modules/video_coding/loss_notification_controller.h:18, [ 974s] from ../../../../video/rtp_video_stream_receiver.h:35, [ 974s] from ../../../../video/rtp_video_stream_receiver.cc:11: [ 974s] ../../../../modules/rtp_rtcp/source/rtp_generic_frame_descriptor.h:32:3: note: because 'webrtc::RtpGenericFrameDescriptor' has user-provided 'webrtc::RtpGenericFrameDescriptor::RtpGenericFrameDescriptor(const webrtc::RtpGenericFrameDescriptor&)' [ 974s] 32 | RtpGenericFrameDescriptor(const RtpGenericFrameDescriptor&); [ 974s] | ^~~~~~~~~~~~~~~~~~~~~~~~~ [ 974s] ../../../../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)': [ 974s] ../../../../video/rtp_video_stream_receiver.cc:286:24: warning: this statement may fall through [-Wimplicit-fallthrough=] [ 974s] 286 | RequestKeyFrame(); [ 974s] | ~~~~~~~~~~~~~~~^~ [ 974s] ../../../../video/rtp_video_stream_receiver.cc:288:7: note: here [ 974s] 288 | case video_coding::H264SpsPpsTracker::kDrop: [ 974s] | ^~~~ [ 974s] [1962/2033] CXX obj/video/video/receive_statistics_proxy.o [ 974s] [1963/2033] CXX obj/video/video/send_statistics_proxy.o [ 974s] [1964/2033] CXX obj/video/video/video_receive_stream.o [ 974s] In file included from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../video/video_receive_stream.h:23, [ 974s] from ../../../../video/video_receive_stream.cc:11: [ 974s] ../../../../modules/video_coding/encoded_frame.h: In member function 'void webrtc::VCMEncodedFrame::SetCodecSpecific(const webrtc::CodecSpecificInfo*)': [ 974s] ../../../../modules/video_coding/encoded_frame.h:108:27: warning: implicitly-declared 'webrtc::CodecSpecificInfo& webrtc::CodecSpecificInfo::operator=(const webrtc::CodecSpecificInfo&)' is deprecated [-Wdeprecated-copy] [ 974s] 108 | _codecSpecificInfo = *codec_specific; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../video/video_receive_stream.h:23, [ 974s] from ../../../../video/video_receive_stream.cc:11: [ 974s] ../../../../modules/video_coding/include/video_codec_interface.h:104:3: note: because 'webrtc::CodecSpecificInfo' has user-provided 'webrtc::CodecSpecificInfo::CodecSpecificInfo(const webrtc::CodecSpecificInfo&)' [ 974s] 104 | CodecSpecificInfo(const CodecSpecificInfo&); [ 974s] | ^~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/transport/network_types.h:16, [ 974s] from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/media_transport_interface.h:20, [ 974s] from ../../../../video/video_receive_stream.h:17, [ 974s] from ../../../../video/video_receive_stream.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../modules/video_coding/include/video_codec_interface.h:20, [ 974s] from ../../../../modules/video_coding/encoded_frame.h:18, [ 974s] from ../../../../api/video/encoded_frame.h:14, [ 974s] from ../../../../modules/video_coding/frame_buffer2.h:21, [ 974s] from ../../../../video/video_receive_stream.h:23, [ 974s] from ../../../../video/video_receive_stream.cc:11: [ 974s] ../../../../common_video/generic_frame_descriptor/generic_frame_info.h:48:3: note: because 'webrtc::GenericFrameInfo' has user-provided 'webrtc::GenericFrameInfo::GenericFrameInfo(const webrtc::GenericFrameInfo&)' [ 974s] 48 | GenericFrameInfo(const GenericFrameInfo&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] [1965/2033] AR obj/video/libvideo.a [ 974s] [1966/2033] CC obj/third_party/libvpx/libvpx_intrinsics_sse2/fwd_txfm_sse2.o [ 974s] [1967/2033] CC obj/third_party/yasm/yasm/nasm-pp.o [ 974s] [1968/2033] STAMP obj/third_party/libvpx/libvpx_intrinsics_sse2.stamp [ 974s] [1969/2033] AR obj/call/libcall.a [ 974s] [1970/2033] AR obj/media/librtc_audio_video.a [ 974s] [1971/2033] STAMP obj/media/rtc_media.stamp [ 974s] [1972/2033] STAMP obj/pc/rtc_pc.stamp [ 974s] [1973/2033] STAMP obj/media/media.stamp [ 974s] [1974/2033] STAMP obj/pc/pc.stamp [ 974s] [1975/2033] LINK ./yasm [ 974s] [1976/2033] STAMP obj/third_party/libvpx/libvpx_yasm_action.inputdeps.stamp [ 974s] [1977/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1978/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1979/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1980/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1981/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1982/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1983/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1984/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1985/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1986/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1987/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1988/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1989/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1990/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1991/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1992/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1993/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1994/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1995/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1996/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1997/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1998/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [1999/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2000/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2001/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2002/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2003/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2004/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2005/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2006/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2007/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2008/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2009/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2010/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2011/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2012/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2013/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2014/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2015/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2016/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2017/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2018/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2019/2033] CXX obj/pc/peerconnection/peer_connection.o [ 974s] In file included from ../../../../api/rtc_event_log/rtc_event_log_factory_interface.h:16, [ 974s] from ../../../../api/peer_connection_interface.h:88, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:49:16: warning: 'virtual void webrtc::RtcEventLog::StopLogging(std::function)' was hidden [-Woverloaded-virtual] [ 974s] 49 | virtual void StopLogging(std::function callback) { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../api/rtc_event_log/rtc_event_log.h:63:8: warning: by 'virtual void webrtc::RtcEventLogNull::StopLogging()' [-Woverloaded-virtual] [ 974s] 63 | void StopLogging() override {} [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/rtp_transport_internal.h:18, [ 974s] from ../../../../pc/channel_interface.h:20, [ 974s] from ../../../../pc/channel.h:33, [ 974s] from ../../../../pc/jsep_transport_controller.h:30, [ 974s] from ../../../../pc/peer_connection.h:24, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../pc/session_description.h:94:45: warning: 'virtual const cricket::SctpDataContentDescription* cricket::MediaContentDescription::as_sctp() const' was hidden [-Woverloaded-virtual] [ 974s] 94 | virtual const SctpDataContentDescription* as_sctp() const { return nullptr; } [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:423:31: warning: by 'virtual cricket::SctpDataContentDescription* cricket::DataContentDescription::as_sctp()' [-Woverloaded-virtual] [ 974s] 423 | SctpDataContentDescription* as_sctp() override; [ 974s] | ^~~~~~~ [ 974s] ../../../../pc/session_description.h:89:44: warning: 'virtual const cricket::RtpDataContentDescription* cricket::MediaContentDescription::as_rtp_data() const' was hidden [-Woverloaded-virtual] [ 974s] 89 | virtual const RtpDataContentDescription* as_rtp_data() const { [ 974s] | ^~~~~~~~~~~ [ 974s] ../../../../pc/session_description.h:422:30: warning: by 'virtual cricket::RtpDataContentDescription* cricket::DataContentDescription::as_rtp_data()' [-Woverloaded-virtual] [ 974s] 422 | RtpDataContentDescription* as_rtp_data() override; [ 974s] | ^~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:1025:20: warning: 'virtual webrtc::RTCError webrtc::PeerConnectionInterface::SetBitrate(const webrtc::PeerConnectionInterface::BitrateParameters&)' was hidden [-Woverloaded-virtual] [ 974s] 1025 | virtual RTCError SetBitrate(const BitrateParameters& bitrate_parameters); [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../pc/peer_connection.h:196:12: warning: by 'virtual webrtc::RTCError webrtc::PeerConnection::SetBitrate(const webrtc::BitrateSettings&)' [-Woverloaded-virtual] [ 974s] 196 | RTCError SetBitrate(const BitrateSettings& bitrate) override; [ 974s] | ^~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection.cc:23: [ 974s] ../../../../api/jsep_ice_candidate.h: In member function 'void webrtc::JsepIceCandidate::SetCandidate(const cricket::Candidate&)': [ 974s] ../../../../api/jsep_ice_candidate.h:39:18: warning: implicitly-declared 'cricket::Candidate& cricket::Candidate::operator=(const cricket::Candidate&)' is deprecated [-Wdeprecated-copy] [ 974s] 39 | candidate_ = candidate; [ 974s] | ^~~~~~~~~ [ 974s] In file included from ../../../../p2p/base/port.h:21, [ 974s] from ../../../../p2p/base/port_allocator.h:19, [ 974s] from ../../../../api/peer_connection_interface.h:105, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/candidate.h:46:3: note: because 'cricket::Candidate' has user-provided 'cricket::Candidate::Candidate(const cricket::Candidate&)' [ 974s] 46 | Candidate(const Candidate&); [ 974s] | ^~~~~~~~~ [ 974s] ../../../../pc/peer_connection.cc: In member function 'bool webrtc::PeerConnection::Initialize(const webrtc::PeerConnectionInterface::RTCConfiguration&, webrtc::PeerConnectionDependencies)': [ 974s] ../../../../pc/peer_connection.cc:1018:41: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 1018 | : options.crypto_options; [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/peer_connection_interface.h:80, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../pc/peer_connection.cc:1084:20: warning: implicitly-declared 'webrtc::PeerConnectionInterface::RTCConfiguration& webrtc::PeerConnectionInterface::RTCConfiguration::operator=(const webrtc::PeerConnectionInterface::RTCConfiguration&)' is deprecated [-Wdeprecated-copy] [ 974s] 1084 | configuration_ = configuration; [ 974s] | ^~~~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:300:5: note: because 'webrtc::PeerConnectionInterface::RTCConfiguration' has user-provided 'webrtc::PeerConnectionInterface::RTCConfiguration::RTCConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&)' [ 974s] 300 | RTCConfiguration(const RTCConfiguration&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] ../../../../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*)': [ 974s] ../../../../pc/peer_connection.cc:3262:25: warning: redundant move in return statement [-Wredundant-move] [ 974s] 3262 | return std::move(error); [ 974s] | ~~~~~~~~~^~~~~~~ [ 974s] ../../../../pc/peer_connection.cc:3262:25: note: remove 'std::move' call [ 974s] ../../../../pc/peer_connection.cc:3283:23: warning: redundant move in return statement [-Wredundant-move] [ 974s] 3283 | return std::move(error); [ 974s] | ~~~~~~~~~^~~~~~~ [ 974s] ../../../../pc/peer_connection.cc:3283:23: note: remove 'std::move' call [ 974s] ../../../../pc/peer_connection.cc:3292:19: warning: redundant move in return statement [-Wredundant-move] [ 974s] 3292 | return std::move(transceiver); [ 974s] | ~~~~~~~~~^~~~~~~~~~~~~ [ 974s] ../../../../pc/peer_connection.cc:3292:19: note: remove 'std::move' call [ 974s] ../../../../pc/peer_connection.cc: In member function 'virtual bool webrtc::PeerConnection::SetConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&, webrtc::RTCError*)': [ 974s] ../../../../pc/peer_connection.cc:3537:20: warning: implicitly-declared 'webrtc::PeerConnectionInterface::RTCConfiguration& webrtc::PeerConnectionInterface::RTCConfiguration::operator=(const webrtc::PeerConnectionInterface::RTCConfiguration&)' is deprecated [-Wdeprecated-copy] [ 974s] 3537 | configuration_ = modified_config; [ 974s] | ^~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/peer_connection_interface.h:300:5: note: because 'webrtc::PeerConnectionInterface::RTCConfiguration' has user-provided 'webrtc::PeerConnectionInterface::RTCConfiguration::RTCConfiguration(const webrtc::PeerConnectionInterface::RTCConfiguration&)' [ 974s] 300 | RTCConfiguration(const RTCConfiguration&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] ../../../../pc/peer_connection.cc: In member function 'void webrtc::PeerConnection::GetOptionsForOffer(const webrtc::PeerConnectionInterface::RTCOfferAnswerOptions&, cricket::MediaSessionOptions*)': [ 974s] ../../../../pc/peer_connection.cc:4296:54: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 4296 | session_options->crypto_options = GetCryptoOptions(); [ 974s] | ^ [ 974s] In file included from ../../../../api/peer_connection_interface.h:80, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../pc/peer_connection.cc: In member function 'void webrtc::PeerConnection::GetOptionsForAnswer(const webrtc::PeerConnectionInterface::RTCOfferAnswerOptions&, cricket::MediaSessionOptions*)': [ 974s] ../../../../pc/peer_connection.cc:4600:54: warning: implicitly-declared 'webrtc::CryptoOptions& webrtc::CryptoOptions::operator=(const webrtc::CryptoOptions&)' is deprecated [-Wdeprecated-copy] [ 974s] 4600 | session_options->crypto_options = GetCryptoOptions(); [ 974s] | ^ [ 974s] In file included from ../../../../api/peer_connection_interface.h:80, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/transport/network_types.h:16, [ 974s] from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/media_transport_interface.h:20, [ 974s] from ../../../../pc/peer_connection.h:20, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../third_party/abseil-cpp/absl/types/optional.h:116:7: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/peer_connection_interface.h:80, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/crypto/crypto_options.h:23:3: note: because 'webrtc::CryptoOptions' has user-provided 'webrtc::CryptoOptions::CryptoOptions(const webrtc::CryptoOptions&)' [ 974s] 23 | CryptoOptions(const CryptoOptions& other); [ 974s] | ^~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/transport/network_types.h:16, [ 974s] from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/media_transport_interface.h:20, [ 974s] from ../../../../pc/peer_connection.h:20, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/rtp_parameters.h:342:3: note: because 'webrtc::RtpFecParameters' has user-provided 'webrtc::RtpFecParameters::RtpFecParameters(const webrtc::RtpFecParameters&)' [ 974s] 342 | RtpFecParameters(const RtpFecParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../third_party/abseil-cpp/absl/types/optional.h:65, [ 974s] from ../../../../api/transport/network_types.h:16, [ 974s] from ../../../../api/transport/network_control.h:16, [ 974s] from ../../../../api/media_transport_interface.h:20, [ 974s] from ../../../../pc/peer_connection.h:20, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../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]' [ 974s] ../../../../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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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*]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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 >]' [ 974s] /usr/lib/gcc/i586-tizen-linux-gnu/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]' [ 974s] ../../../../pc/rtp_sender.h:119:34: required from here [ 974s] ../../../../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] [ 974s] 159 | this->data_ = std::forward(u); [ 974s] | ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/rtp_parameters.h:359:3: note: because 'webrtc::RtpRtxParameters' has user-provided 'webrtc::RtpRtxParameters::RtpRtxParameters(const webrtc::RtpRtxParameters&)' [ 974s] 359 | RtpRtxParameters(const RtpRtxParameters&); [ 974s] | ^~~~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../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]': [ 974s] ../../../../api/proxy.h:191:35: required from 'void webrtc::ConstMethodCall0::OnMessage(rtc::Message*) [with C = webrtc::RtpSenderInterface; R = webrtc::RtpParameters]' [ 974s] ../../../../api/proxy.h:191:8: required from here [ 974s] ../../../../api/proxy.h:77:8: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 77 | r_ = (c->*m)(); [ 974s] | ~~~^~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:622:19: warning: implicitly-declared 'webrtc::RtcpParameters& webrtc::RtcpParameters::operator=(const webrtc::RtcpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] 622 | struct RTC_EXPORT RtpParameters { [ 974s] | ^~~~~~~~~~~~~ [ 974s] ../../../../api/rtp_parameters.h:589:3: note: because 'webrtc::RtcpParameters' has user-provided 'webrtc::RtcpParameters::RtcpParameters(const webrtc::RtcpParameters&)' [ 974s] 589 | RtcpParameters(const RtcpParameters&); [ 974s] | ^~~~~~~~~~~~~~ [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:24, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/proxy.h:77:8: note: synthesized method 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' first required here [ 974s] 77 | r_ = (c->*m)(); [ 974s] | ~~~^~~~~~~~~~~ [ 974s] ../../../../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]': [ 974s] ../../../../api/proxy.h:191:35: required from 'void webrtc::ConstMethodCall0::OnMessage(rtc::Message*) [with C = webrtc::RtpReceiverInterface; R = webrtc::RtpParameters]' [ 974s] ../../../../api/proxy.h:191:8: required from here [ 974s] ../../../../api/proxy.h:77:8: warning: implicitly-declared 'webrtc::RtpParameters& webrtc::RtpParameters::operator=(const webrtc::RtpParameters&)' is deprecated [-Wdeprecated-copy] [ 974s] In file included from ../../../../api/rtp_receiver_interface.h:25, [ 974s] from ../../../../api/peer_connection_interface.h:90, [ 974s] from ../../../../pc/peer_connection.h:21, [ 974s] from ../../../../pc/peer_connection.cc:11: [ 974s] ../../../../api/rtp_parameters.h:624:3: note: because 'webrtc::RtpParameters' has user-provided 'webrtc::RtpParameters::RtpParameters(const webrtc::RtpParameters&)' [ 974s] 624 | RtpParameters(const RtpParameters&); [ 974s] | ^~~~~~~~~~~~~ [ 974s] [2020/2033] AR obj/pc/libpeerconnection.a [ 974s] [2021/2033] AR obj/api/libcreate_peerconnection_factory.a [ 974s] [2022/2033] STAMP obj/pc/libjingle_peerconnection.stamp [ 974s] [2023/2033] ACTION //third_party/libvpx:libvpx_yasm_action(//build/toolchain/linux:x86) [ 974s] [2024/2033] STAMP obj/third_party/libvpx/libvpx_yasm_action.stamp [ 974s] [2025/2033] AR obj/third_party/libvpx/libvpx_yasm.a [ 974s] [2026/2033] AR obj/third_party/libvpx/libvpx.a [ 974s] [2027/2033] AR obj/modules/video_coding/libwebrtc_vp8.a [ 974s] [2028/2033] AR obj/modules/video_coding/libwebrtc_vp9.a [ 974s] [2029/2033] STAMP obj/test/fake_video_codecs.stamp [ 974s] [2030/2033] AR obj/media/librtc_internal_video_codecs.a [ 974s] [2031/2033] AR obj/api/video_codecs/libbuiltin_video_encoder_factory.a [ 974s] 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CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 1000s] [868/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 1000s] [869/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerTizen.cpp.o [ 1000s] [870/878] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 1000s] [871/878] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 1000s] [872/878] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 1000s] [873/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 1001s] [874/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtc.cpp.o [ 1001s] [875/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 1002s] [876/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcTizen.cpp.o [ 1004s] [877/878] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 1640s] [878/878] Linking CXX shared library out_tizen/unified_tv/release/lib/liblightweight-web-engine.tv.so [ 1640s] + ninja starfish.executable [ 1641s] [1/4] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo LIBWEBSOCKETS\ TARGET [ 1641s] LIBWEBSOCKETS TARGET [ 1642s] [2/4] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/testRunner.cpp.o [ 1643s] [3/4] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/shell.cpp.o [ 2235s] [4/4] Linking CXX executable out_tizen/unified_tv/release/lightweight-web-engine.tv [ 2235s] + rm -f CMakeCache.txt [ 2235s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=i686 -DCUSTOM=unified_mobile -DBACKEND=dali -DLTO=1 -DTARGETNAME=lightweight-web-engine-dali-plugin.mobile -G Ninja [ 2235s] -- The C compiler identification is GNU 9.2.0 [ 2235s] -- The CXX compiler identification is GNU 9.2.0 [ 2235s] -- Check for working C compiler: /bin/cc [ 2235s] -- Check for working C compiler: /bin/cc -- works [ 2235s] -- Detecting C compiler ABI info [ 2235s] -- Detecting C compiler ABI info - done [ 2235s] -- Detecting C compile features [ 2235s] -- Detecting C compile features - done [ 2235s] -- Check for working CXX compiler: /bin/c++ [ 2236s] -- Check for working CXX compiler: /bin/c++ -- works [ 2236s] -- Detecting CXX compiler ABI info [ 2236s] -- Detecting CXX compiler ABI info - done [ 2236s] -- Detecting CXX compile features [ 2236s] -- Detecting CXX compile features - done [ 2236s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 2236s] -- Checking for modules 'dlog;libpng;freetype2;fontconfig;harfbuzz;elementary;ecore' [ 2236s] -- Found dlog, version 1.0 [ 2236s] -- Found libpng, version 1.6.37 [ 2236s] -- Found freetype2, version 23.1.17 [ 2236s] -- Found fontconfig, version 2.13.1 [ 2236s] -- Found harfbuzz, version 2.6.4 [ 2236s] -- Found elementary, version 1.25.0 [ 2236s] -- Found ecore, version 1.25.0 [ 2236s] -- Checking for module 'cairo' [ 2236s] -- Found cairo, version 1.14.2 [ 2236s] -- Checking for modules 'capi-media-player;capi-network-connection' [ 2236s] -- Found capi-media-player, version [ 2236s] -- Found capi-network-connection, version [ 2236s] -- Looking for cap_set_flag in cap [ 2236s] -- Looking for cap_set_flag in cap - not found [ 2236s] -- Checking for module 'dlog' [ 2236s] -- Found dlog, version 1.0 [ 2236s] -- Starfish [ 2236s] -- 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-feliminate-unused-debug-types--param=ssp-buffer-size=4-fdiagnostics-color=never-m32-march=i686-mtune=i686-msse4.2-mfpmath=sse-fasynchronous-unwind-tables-fno-omit-frame-pointer-mstackrealign-Wl,-z,noseparate-code-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_0 [ 2236s] -- 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 [ 2236s] -- 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 [ 2236s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 2236s] -- 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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/fribidi/usr/include/harfbuzz/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/i686/release/include [ 2236s] -- Configuring done [ 2237s] -- Generating done [ 2237s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 2237s] + ninja starfish.shared_library [ 2237s] [1/884] COPY TUV [ 2237s] [2/884] cd /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 && echo TUV\ TARGET [ 2237s] TUV TARGET [ 2237s] [3/884] Linking CXX shared library out_tizen/unified_mobile/release/lib/libskia_matrix.so [ 2237s] [4/884] Linking CXX shared library out_tizen/unified_mobile/release/lib/libmp4parse.so [ 2237s] [5/884] Linking CXX shared library out_tizen/unified_mobile/release/lib/libwebm.so [ 2237s] [6/884] Linking CXX shared library out_tizen/unified_mobile/release/lib/libclipper.so [ 2237s] [7/884] Linking CXX static library out_tizen/unified_mobile/release/lib/libgc-lib.a [ 2237s] [8/884] Linking CXX static library out_tizen/unified_mobile/release/lib/libruntime-icu-binder-static.a [ 2238s] [9/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 2238s] [10/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BaseAudioContextBinding.cpp.o [ 2238s] [11/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 2238s] [12/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 2238s] [13/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceOptionsBinding.cpp.o [ 2238s] [14/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextBinding.cpp.o [ 2238s] [15/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 2238s] [16/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioNodeBinding.cpp.o [ 2238s] [17/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 2238s] [18/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 2238s] [19/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioDestinationNodeBinding.cpp.o [ 2238s] [20/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferBinding.cpp.o [ 2238s] [21/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcTizen.cpp.o [ 2238s] [22/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MockMediaPlayer.cpp.o [ 2238s] [23/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcLinux.cpp.o [ 2240s] [24/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobOrBufferSourceOrUSVStringOrReadableStreamBinding.cpp.o [ 2240s] [25/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericTypeBinding.cpp.o [ 2240s] [26/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 2240s] [27/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrBlobOrDOMStringBinding.cpp.o [ 2240s] [28/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSCounterStyleRuleBinding.cpp.o [ 2240s] [29/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasImageSourceOrBlobOrImageDataBinding.cpp.o [ 2240s] [30/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationBinding.cpp.o [ 2240s] [31/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DOrWebGLRenderingContextOrImageBitmapRenderingContextBinding.cpp.o [ 2240s] [32/884] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/platform/public/DeviceInfo.cpp.o [ 2323s] [854/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 2323s] [855/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPRequest.cpp.o [ 2323s] [856/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 2323s] [857/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPTransaction.cpp.o [ 2323s] [858/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPUtil.cpp.o [ 2323s] [859/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 2323s] [860/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 2323s] [861/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/DemuxerMP4.cpp.o [ 2324s] [862/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/Resource.cpp.o [ 2324s] [863/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 2324s] [864/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 2324s] [865/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 2324s] [866/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 2324s] [867/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 2324s] [868/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 2324s] [869/884] Linking CXX static library out_tizen/unified_mobile/release/lib/libescargot.a [ 2324s] [870/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 2324s] [871/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 2324s] [872/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleDeclaration.cpp.o [ 2324s] [873/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayer.cpp.o [ 2324s] [874/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 2324s] [875/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 2325s] [876/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 2325s] [877/884] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 2325s] [878/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 2325s] [879/884] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 2325s] [880/884] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 2325s] [881/884] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 2327s] [882/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 2330s] [883/884] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 2877s] [884/884] Linking CXX shared library out_tizen/unified_mobile/release/lib/liblightweight-web-engine-dali-plugin.mobile.so [ 2877s] + rm -f CMakeCache.txt [ 2877s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=i686 -DCUSTOM=unified_mobile -DBACKEND=efl_cairo_gl -DLTO=1 -DTARGETNAME=lightweight-web-engine.mobile -G Ninja [ 2877s] -- The C compiler identification is GNU 9.2.0 [ 2877s] -- The CXX compiler identification is GNU 9.2.0 [ 2877s] -- Check for working C compiler: /bin/cc [ 2877s] -- Check for working C compiler: /bin/cc -- works [ 2877s] -- Detecting C compiler ABI info [ 2877s] -- Detecting C compiler ABI info - done [ 2877s] -- Detecting C compile features [ 2878s] -- Detecting C compile features - done [ 2878s] -- Check for working CXX compiler: /bin/c++ [ 2878s] -- Check for working CXX compiler: /bin/c++ -- works [ 2878s] -- Detecting CXX compiler ABI info [ 2878s] -- Detecting CXX compiler ABI info - done [ 2878s] -- Detecting CXX compile features [ 2878s] -- Detecting CXX compile features - done [ 2878s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 2878s] -- Checking for modules 'libpng;freetype2;fontconfig;harfbuzz;elementary;ecore;ecore-imf' [ 2878s] -- Found libpng, version 1.6.37 [ 2878s] -- Found freetype2, version 23.1.17 [ 2878s] -- Found fontconfig, version 2.13.1 [ 2878s] -- Found harfbuzz, version 2.6.4 [ 2878s] -- Found elementary, version 1.25.0 [ 2878s] -- Found ecore, version 1.25.0 [ 2878s] -- Found ecore-imf, version 1.25.0 [ 2878s] -- Checking for module 'ecore-imf-evas' [ 2878s] -- Found ecore-imf-evas, version 1.25.0 [ 2878s] -- Checking for module 'libtbm' [ 2878s] -- Found libtbm, version 3.0.0 [ 2878s] -- Checking for module 'cairo' [ 2879s] -- Found cairo, version 1.14.2 [ 2879s] -- Checking for modules 'capi-media-player;capi-network-connection' [ 2879s] -- Found capi-media-player, version [ 2879s] -- Found capi-network-connection, version [ 2879s] -- Looking for cap_set_flag in cap [ 2879s] -- Looking for cap_set_flag in cap - not found [ 2879s] -- Checking for module 'dlog' [ 2879s] -- Found dlog, version 1.0 [ 2879s] -- Starfish [ 2879s] -- 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-feliminate-unused-debug-types--param=ssp-buffer-size=4-fdiagnostics-color=never-m32-march=i686-mtune=i686-msse4.2-mfpmath=sse-fasynchronous-unwind-tables-fno-omit-frame-pointer-mstackrealign-Wl,-z,noseparate-code-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_0 [ 2879s] -- 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 [ 2879s] -- 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 [ 2879s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 2879s] -- 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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/i686/release/include [ 2879s] -- Configuring done [ 2879s] -- Generating done [ 2879s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 2879s] + ninja starfish.shared_library [ 2880s] [1/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferOptionsBinding.cpp.o [ 2880s] [2/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BatteryManagerBinding.cpp.o [ 2880s] [3/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextBinding.cpp.o [ 2880s] [4/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrDOMStringBinding.cpp.o [ 2880s] [5/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioNodeBinding.cpp.o [ 2880s] [6/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferBinding.cpp.o [ 2880s] [7/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BaseAudioContextBinding.cpp.o [ 2880s] [8/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceOptionsBinding.cpp.o [ 2880s] [9/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 2880s] [10/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcTizen.cpp.o [ 2880s] [11/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtcLinux.cpp.o [ 2880s] [12/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 2880s] [13/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioDestinationNodeBinding.cpp.o [ 2880s] [14/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 2881s] [15/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobOrBufferSourceOrUSVStringOrReadableStreamBinding.cpp.o [ 2882s] [16/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericTypeBinding.cpp.o [ 2882s] [17/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DOrWebGLRenderingContextOrImageBitmapRenderingContextBinding.cpp.o [ 2882s] [18/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobCustomBinding.cpp.o [ 2882s] [19/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasImageSourceOrBlobOrImageDataBinding.cpp.o [ 2882s] [20/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BufferSourceOrBlobOrDOMStringBinding.cpp.o [ 2882s] [21/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasRenderingContext2DBinding.cpp.o [ 2882s] [22/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationBinding.cpp.o [ 2882s] [23/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BlobBinding.cpp.o [ 2882s] [24/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNamespaceRuleBinding.cpp.o [ 2882s] [25/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSCounterStyleRuleBinding.cpp.o [ 2883s] [26/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventInitBinding.cpp.o [ 2883s] [27/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSNumericValueBinding.cpp.o [ 2883s] [28/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/ArrayBufferViewOrArrayBufferBinding.cpp.o [ 2883s] [29/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeywordValueBinding.cpp.o [ 2883s] [30/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSRuleBinding.cpp.o [ 2883s] [31/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSImportRuleBinding.cpp.o [ 2883s] [32/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMMatrixBinding.cpp.o [ 2883s] [33/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSBinding.cpp.o [ 2883s] [34/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSMediaRuleBinding.cpp.o [ 2883s] [35/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/StaticStrings.cpp.o [ 2883s] [36/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleValueBinding.cpp.o [ 2883s] [37/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSConditionRuleBinding.cpp.o [ 2883s] [38/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeyframeRuleBinding.cpp.o [ 2883s] [39/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/Starfish.cpp.o [ 2883s] [40/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSSupportsRuleBinding.cpp.o [ 2883s] [41/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSFontFaceRuleBinding.cpp.o [ 2883s] [42/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AnimationEventBinding.cpp.o [ 2884s] [43/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSUnitValueBinding.cpp.o [ 2884s] [44/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CDATASectionBinding.cpp.o [ 2884s] [45/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleRuleBinding.cpp.o [ 2884s] [46/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSRuleListBinding.cpp.o [ 2884s] [47/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSKeyframesRuleBinding.cpp.o [ 2884s] [48/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleDeclarationBinding.cpp.o [ 2884s] [49/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSGroupingRuleBinding.cpp.o [ 2885s] [50/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AttrBinding.cpp.o [ 2885s] [51/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CloseEventInitBinding.cpp.o [ 2885s] [52/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CSSStyleSheetBinding.cpp.o [ 2885s] [53/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasGradientBinding.cpp.o [ 2885s] [54/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CloseEventBinding.cpp.o [ 2885s] [55/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CustomEventInitBinding.cpp.o [ 2885s] [56/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CustomEventBinding.cpp.o [ 2886s] [57/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CanvasPatternBinding.cpp.o [ 2886s] [58/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMMatrix2DInitBinding.cpp.o [ 2886s] [59/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMExceptionBinding.cpp.o [ 2886s] [60/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CompositionEventInitBinding.cpp.o [ 2886s] [61/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMPointReadOnlyBinding.cpp.o [ 2886s] [62/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMMatrixInitBinding.cpp.o [ 2886s] [63/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMRectBinding.cpp.o [ 2886s] [64/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMPointInitBinding.cpp.o [ 2886s] [65/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMQuadBinding.cpp.o [ 2886s] [66/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CoordinatesBinding.cpp.o [ 2887s] [67/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMStringOrCanvasGradientOrCanvasPatternBinding.cpp.o [ 2887s] [68/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMStringOrMediaStreamTrackBinding.cpp.o [ 2887s] [69/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CompositionEventBinding.cpp.o [ 2887s] [70/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CommentBinding.cpp.o [ 2887s] [71/875] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/binding/DOMStringOrFunctionBinding.cpp.o [ 2888s] [80/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMParserBinding.cpp.o [ 2888s] [81/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMImplementationBinding.cpp.o [ 2888s] [82/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/CharacterDataBinding.cpp.o [ 2888s] [83/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMStringOrSequenceOfDOMStringBinding.cpp.o [ 2888s] [84/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLHRElementBinding.cpp.o [ 2888s] [85/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLCanvasElementBinding.cpp.o [ 2888s] [86/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/RTCIceServerBinding.cpp.o [ 2888s] [87/875] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerAudioLinux.cpp.o [ 2962s] [804/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerAudioTizen.cpp.o [ 2962s] [805/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/util/URL.cpp.o [ 2962s] [806/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerWebRtc.cpp.o [ 2962s] [807/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerTV.cpp.o [ 2962s] [808/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MockMediaPlayer.cpp.o [ 2962s] [809/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/file/Directory.cpp.o [ 2962s] [810/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/AnimatedGIFNativeImageDataImpl.cpp.o [ 2962s] [811/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/HeaderResource.cpp.o [ 2962s] [812/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPCache.cpp.o [ 2963s] [813/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPCacheEntry.cpp.o [ 2963s] [814/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/file/File.cpp.o [ 2963s] [815/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/xml/XMLHttpRequest.cpp.o [ 2963s] [816/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerWindows.cpp.o [ 2963s] [817/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceURL.cpp.o [ 2963s] [818/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/CompressedNativeImageDataImpl.cpp.o [ 2963s] [819/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinWindows.cpp.o [ 2963s] [820/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/process/base/Process.cpp.o [ 2963s] [821/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSBase.cpp.o [ 2963s] [822/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/tts/TTSTV.cpp.o [ 2963s] [823/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/NativeImageDataImpl.cpp.o [ 2963s] [824/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/webrtc/VideoCapturer.cpp.o [ 2963s] [825/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/TimerEFL.cpp.o [ 2963s] [826/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/Demuxer.cpp.o [ 2964s] [827/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/CanvasCairo.cpp.o [ 2964s] [828/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinLibUV.cpp.o [ 2964s] [829/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MP4PacketGenerator.cpp.o [ 2964s] [830/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/DemuxerMP4.cpp.o [ 2964s] [831/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 2964s] [832/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/StreamInfo.cpp.o [ 2964s] [833/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/mixins/MessageLoopMixinEFL.cpp.o [ 2964s] [834/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/android/AndroidBridge.cpp.o [ 2964s] [835/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/message_loop/MessageLoopEFL.cpp.o [ 2964s] [836/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/DemuxerWebM.cpp.o [ 2965s] [837/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/FontResource.cpp.o [ 2965s] [838/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/Resource.cpp.o [ 2965s] [839/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebView.cpp.o [ 2965s] [840/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 2965s] [841/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 2965s] [842/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 2966s] [843/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplCairo.cpp.o [ 2966s] [844/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPResponse.cpp.o [ 2966s] [845/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ElementResourceClient.cpp.o [ 2966s] [846/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 2966s] [847/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/public/DeviceInfo.cpp.o [ 2966s] [848/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 2966s] [849/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPHeaderMap.cpp.o [ 2966s] [850/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPRequest.cpp.o [ 2966s] [851/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/CompositorGL.cpp.o [ 2966s] [852/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPUtil.cpp.o [ 2966s] [853/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPTransaction.cpp.o [ 2966s] [854/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 2966s] [855/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/CSSStyleDeclaration.cpp.o [ 2966s] [856/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 2966s] [857/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 2967s] [858/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 2967s] [859/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 2967s] [860/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayer.cpp.o [ 2967s] [861/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 2967s] [862/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 2967s] [863/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 2967s] [864/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 2967s] [865/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 2967s] [866/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 2967s] [867/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 2967s] [868/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 2967s] [869/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 2967s] [870/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ResourceLoader.cpp.o [ 2968s] [871/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerTizenBase.cpp.o [ 2968s] [872/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/multimedia/MediaPlayerTizen.cpp.o [ 2969s] [873/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 2973s] [874/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 3471s] [875/875] Linking CXX shared library out_tizen/unified_mobile/release/lib/liblightweight-web-engine.mobile.so [ 3471s] + ninja starfish.executable [ 3472s] [1/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/testRunner.cpp.o [ 3472s] [2/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/shell.cpp.o [ 3873s] [3/3] Linking CXX executable out_tizen/unified_mobile/release/lightweight-web-engine.mobile [ 3873s] + CFLAGS+=' -Os ' [ 3873s] + CXXFLAGS+=' -Os ' [ 3873s] + rm -f CMakeCache.txt [ 3873s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=i686 -DCUSTOM=unified_wearable -DBACKEND=dali -DLTO=1 -DTARGETNAME=lightweight-web-engine-dali-plugin.wearable -G Ninja [ 3873s] -- The C compiler identification is GNU 9.2.0 [ 3873s] -- The CXX compiler identification is GNU 9.2.0 [ 3873s] -- Check for working C compiler: /bin/cc [ 3873s] -- Check for working C compiler: /bin/cc -- works [ 3873s] -- Detecting C compiler ABI info [ 3873s] -- Detecting C compiler ABI info - done [ 3873s] -- Detecting C compile features [ 3873s] -- Detecting C compile features - done [ 3873s] -- Check for working CXX compiler: /bin/c++ [ 3873s] -- Check for working CXX compiler: /bin/c++ -- works [ 3873s] -- Detecting CXX compiler ABI info [ 3873s] -- Detecting CXX compiler ABI info - done [ 3873s] -- Detecting CXX compile features [ 3873s] -- Detecting CXX compile features - done [ 3873s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 3873s] -- Checking for modules 'dlog;libpng;freetype2;fontconfig;harfbuzz;elementary;ecore' [ 3873s] -- Found dlog, version 1.0 [ 3873s] -- Found libpng, version 1.6.37 [ 3873s] -- Found freetype2, version 23.1.17 [ 3873s] -- Found fontconfig, version 2.13.1 [ 3873s] -- Found harfbuzz, version 2.6.4 [ 3873s] -- Found elementary, version 1.25.0 [ 3873s] -- Found ecore, version 1.25.0 [ 3874s] -- Checking for module 'cairo' [ 3874s] -- Found cairo, version 1.14.2 [ 3874s] -- Checking for modules 'dlog;capi-media-player;capi-media-sound-manager;capi-system-info;capi-system-device' [ 3874s] -- Found dlog, version 1.0 [ 3874s] -- Found capi-media-player, version [ 3874s] -- Found capi-media-sound-manager, version 0.0.1 [ 3874s] -- Found capi-system-info, version 0.2.0 [ 3874s] -- Found capi-system-device, version [ 3874s] -- Checking for module 'bundle' [ 3874s] -- Found bundle, version 0.5.5 [ 3874s] -- Looking for cap_set_flag in cap [ 3874s] -- Looking for cap_set_flag in cap - not found [ 3874s] -- Checking for module 'dlog' [ 3874s] -- Found dlog, version 1.0 [ 3874s] -- Starfish [ 3874s] -- 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-feliminate-unused-debug-types--param=ssp-buffer-size=4-fdiagnostics-color=never-m32-march=i686-mtune=i686-msse4.2-mfpmath=sse-fasynchronous-unwind-tables-fno-omit-frame-pointer-mstackrealign-Wl,-z,noseparate-code-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_0-Os [ 3874s] -- LIBRARIES: 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 [ 3874s] -- 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 [ 3874s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 3874s] -- 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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/fribidi/usr/include/harfbuzz/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/i686/release/include [ 3874s] -- Configuring done [ 3874s] -- Generating done [ 3874s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 3874s] + ninja starfish.shared_library [ 3874s] [1/1134] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/ports/SkDebug_stdio.cpp.o [ 3874s] [2/1134] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMallocPixelRef.cpp.o [ 3874s] [3/1134] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/ports/SkMemory_malloc.cpp.o [ 3874s] [4/1134] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkUtils.cpp.o [ 3874s] [5/1134] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkMath.cpp.o [ 3875s] [6/1134] Building CXX object CMakeFiles/skia_matrix.dir/third_party/skia_matrix/src/core/SkStringUtils.cpp.o [ 3875s] [7/1134] Building CXX object 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CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ILOC.cpp.o [ 3875s] [17/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.FullBox.cpp.o [ 3875s] [18/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.HMHD.cpp.o [ 3875s] [19/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IINF.cpp.o [ 3875s] [20/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ContainerAtom.cpp.o [ 3875s] [21/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ELST.cpp.o [ 3875s] [22/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.ESDS.cpp.o [ 3875s] [23/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.IMIF.cpp.o [ 3875s] [24/1134] Building CXX object CMakeFiles/mp4parse.dir/third_party/MP4Parse/source/MP4.File.cpp.o [ 3875s] [25/1134] Building CXX object 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third_party/escargot/src/runtime/EncodedValue.h: In member function 'void Escargot::TemplateRef::set(const Escargot::TemplatePropertyNameRef&, Escargot::ValueRef*, bool, bool, bool)': [ 3881s] third_party/escargot/src/runtime/EncodedValue.h:295:18: warning: '*((void*)(&)+4).Escargot::EncodedValue::m_data.Escargot::EncodedValueData::payload' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 3881s] 295 | auto payload = m_data.payload; [ 3881s] | ^~~~~~~ [ 3881s] [159/1134] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMStringOrCanvasGradientOrCanvasPatternBinding.cpp.o [ 3881s] [160/1134] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/HTMLCanvasElementBinding.cpp.o [ 3881s] [161/1134] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMStringOrFunctionBinding.cpp.o [ 3881s] [162/1134] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/DOMParserBinding.cpp.o [ 3881s] [163/1134] 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third_party/escargot/CMakeFiles/escargot.dir/src/parser/Lexer.cpp.o [ 3930s] third_party/escargot/src/parser/Lexer.cpp: In member function 'char32_t Escargot::EscargotLexer::Scanner::scanUnicodeCodePointEscape()': [ 3930s] third_party/escargot/src/parser/Lexer.cpp:731:31: warning: 'ch' may be used uninitialized in this function [-Wmaybe-uninitialized] [ 3930s] 731 | if (code > 0x10FFFF || ch != '}') { [ 3930s] | ~~~^~~~~~ [ 3930s] [988/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/interpreter/ByteCode.cpp.o [ 3931s] [989/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/ExecutionPauser.cpp.o [ 3931s] [990/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinArrayBuffer.cpp.o [ 3931s] [991/1134] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 3931s] [992/1134] Building CXX object 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third_party/escargot/src/runtime/IEEE754.cpp: In function 'double Escargot::ieee754::ceil(double)': [ 3933s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 3933s] 86 | #define __LO(x) *(int *)&x [ 3933s] | ^~~~~~~~~ [ 3933s] 87 | #define __HIp(x) *(1 + (int *)x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 88 | #define __LOp(x) *(int *)x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 89 | [ 3933s] | [ 3933s] 90 | #else [ 3933s] | ~~~~~ [ 3933s] 91 | [ 3933s] | [ 3933s] 92 | typedef union { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 93 | double value; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 94 | struct { [ 3933s] | ~~~~~~~~ [ 3933s] 95 | uint32_t msw; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 96 | uint32_t lsw; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 97 | } parts; [ 3933s] | ~~~~~~~~ [ 3933s] 98 | struct { [ 3933s] | ~~~~~~~~ [ 3933s] 99 | uint64_t w; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 100 | } xparts; [ 3933s] | ~~~~~~~~~ [ 3933s] 101 | } ieee_double_shape_type; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 102 | [ 3933s] | [ 3933s] 103 | #define __HI(x) *(int *)&x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 104 | #define __LO(x) *(1 + (int *)&x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 105 | #define __HIp(x) *(int *)x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 106 | #define __LOp(x) *(1 + (int *)x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 107 | [ 3933s] | [ 3933s] 108 | #endif [ 3933s] | ~~~~~~ [ 3933s] 109 | [ 3933s] | [ 3933s] 110 | /* Get two 32 bit ints from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 111 | [ 3933s] | [ 3933s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 113 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 114 | ieee_double_shape_type ew_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 115 | ew_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 116 | (ix0) = ew_u.parts.msw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 117 | (ix1) = ew_u.parts.lsw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 118 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 119 | [ 3933s] | [ 3933s] 120 | /* Get a 64-bit int from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 122 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 123 | ieee_double_shape_type ew_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 124 | ew_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 125 | (ix) = ew_u.xparts.w; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 126 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 127 | [ 3933s] | [ 3933s] 128 | /* Get the more significant 32 bit int from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 129 | [ 3933s] | [ 3933s] 130 | #define GET_HIGH_WORD(i, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 131 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 132 | ieee_double_shape_type gh_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 133 | gh_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 134 | (i) = gh_u.parts.msw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 135 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 136 | [ 3933s] | [ 3933s] 137 | /* Get the less significant 32 bit int from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 138 | [ 3933s] | [ 3933s] 139 | #define GET_LOW_WORD(i, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 140 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 141 | ieee_double_shape_type gl_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 142 | gl_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 143 | (i) = gl_u.parts.lsw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 144 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 145 | [ 3933s] | [ 3933s] 146 | /* Set a double from two 32 bit ints. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 147 | [ 3933s] | [ 3933s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 149 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 150 | ieee_double_shape_type iw_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 151 | iw_u.parts.msw = (ix0); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 152 | iw_u.parts.lsw = (ix1); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 153 | (d) = iw_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 154 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 155 | [ 3933s] | [ 3933s] 156 | /* Set a double from a 64-bit int. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 157 | #define INSERT_WORD64(d, ix) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 158 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 159 | ieee_double_shape_type iw_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 160 | iw_u.xparts.w = (ix); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 161 | (d) = iw_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 162 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 163 | [ 3933s] | [ 3933s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 165 | [ 3933s] | [ 3933s] 166 | #define SET_HIGH_WORD(d, v) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 167 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 168 | ieee_double_shape_type sh_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 169 | sh_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 170 | sh_u.parts.msw = (v); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 171 | (d) = sh_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 172 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 173 | [ 3933s] | [ 3933s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 175 | [ 3933s] | [ 3933s] 176 | #define SET_LOW_WORD(d, v) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 177 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 178 | ieee_double_shape_type sl_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 179 | sl_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 180 | sl_u.parts.lsw = (v); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 181 | (d) = sl_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 182 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 183 | [ 3933s] | [ 3933s] 184 | /* Support macro. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 185 | [ 3933s] | [ 3933s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 187 | [ 3933s] | [ 3933s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 193 | [ 3933s] | [ 3933s] 194 | /* __ieee754_rem_pio2(x,y) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 195 | * [ 3933s] | ~ [ 3933s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 197 | * use __kernel_rem_pio2() [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 198 | */ [ 3933s] | ~~ [ 3933s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 200 | { [ 3933s] | ~ [ 3933s] 201 | /* [ 3933s] | ~~ [ 3933s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 203 | */ [ 3933s] | ~~ [ 3933s] 204 | constexpr int32_t two_over_pi[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 205 | 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, 0x95993C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 206 | 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, 0x424DD2, 0xE00649, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 207 | 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, 0xA73EE8, 0x8235F5, 0x2EBB44, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 208 | 0x84E99C, 0x7026B4, 0x5F7E41, 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 209 | 0xBDF928, 0x3B1FF8, 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 210 | 0x367ECF, 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 211 | 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, 0x560330, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 212 | 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, 0x91615E, 0xE61B08, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 213 | 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, 0x4D7327, 0x310606, 0x1556CA, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 214 | 0x73A8C9, 0x60E27B, 0xC08C6B, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 215 | }; [ 3933s] | ~~ [ 3933s] 216 | [ 3933s] | [ 3933s] 217 | constexpr int32_t npio2_hw[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 218 | 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 219 | 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 220 | 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 221 | 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 222 | 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 223 | 0x404858EB, 0x404921FB, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 224 | }; [ 3933s] | ~~ [ 3933s] 225 | [ 3933s] | [ 3933s] 226 | /* [ 3933s] | ~~ [ 3933s] 227 | * invpio2: 53 bits of 2/pi [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 228 | * pio2_1: first 33 bit of pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 229 | * pio2_1t: pi/2 - pio2_1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 230 | * pio2_2: second 33 bit of pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 231 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 232 | * pio2_3: third 33 bit of pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 233 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 234 | */ [ 3933s] | ~~ [ 3933s] 235 | [ 3933s] | [ 3933s] 236 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 237 | zero [ 3933s] | ~~~~ [ 3933s] 238 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 239 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 240 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 241 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 242 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 243 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 244 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 245 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 246 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 247 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 248 | [ 3933s] | [ 3933s] 249 | double z, w, t, r, fn; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 250 | double tx[3]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 251 | int32_t e0, i, j, nx, n, ix, hx; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 252 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 253 | [ 3933s] | [ 3933s] 254 | z = 0; [ 3933s] | ~~~~~~ [ 3933s] 255 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 256 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 257 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 258 | y[0] = x; [ 3933s] | ~~~~~~~~~ [ 3933s] 259 | y[1] = 0; [ 3933s] | ~~~~~~~~~ [ 3933s] 260 | return 0; [ 3933s] | ~~~~~~~~~ [ 3933s] 261 | } [ 3933s] | ~ [ 3933s] 262 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 263 | if (hx > 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 264 | z = x - pio2_1; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 265 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 266 | y[0] = z - pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 267 | y[1] = (z - y[0]) - pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 268 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 269 | z -= pio2_2; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 270 | y[0] = z - pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 271 | y[1] = (z - y[0]) - pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 272 | } [ 3933s] | ~ [ 3933s] 273 | return 1; [ 3933s] | ~~~~~~~~~ [ 3933s] 274 | } else { /* negative x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 275 | z = x + pio2_1; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 276 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 277 | y[0] = z + pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 278 | y[1] = (z - y[0]) + pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 279 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 280 | z += pio2_2; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 281 | y[0] = z + pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 282 | y[1] = (z - y[0]) + pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 283 | } [ 3933s] | ~ [ 3933s] 284 | return -1; [ 3933s] | ~~~~~~~~~~ [ 3933s] 285 | } [ 3933s] | ~ [ 3933s] 286 | } [ 3933s] | ~ [ 3933s] 287 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 288 | t = fabs(x); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 289 | n = static_cast(t * invpio2 + half); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 290 | fn = static_cast(n); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 291 | r = t - fn * pio2_1; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 292 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 293 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 294 | y[0] = r - w; /* quick check no cancellation */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 295 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 296 | uint32_t high; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 297 | j = ix >> 20; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 298 | y[0] = r - w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 299 | GET_HIGH_WORD(high, y[0]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 300 | i = j - ((high >> 20) & 0x7FF); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 301 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 302 | t = r; [ 3933s] | ~~~~~~ [ 3933s] 303 | w = fn * pio2_2; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 304 | r = t - w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 305 | w = fn * pio2_2t - ((t - r) - w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 306 | y[0] = r - w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 307 | GET_HIGH_WORD(high, y[0]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 308 | i = j - ((high >> 20) & 0x7FF); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 309 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 310 | t = r; /* will cover all possible cases */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 311 | w = fn * pio2_3; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 312 | r = t - w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 313 | w = fn * pio2_3t - ((t - r) - w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 314 | y[0] = r - w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 315 | } [ 3933s] | ~ [ 3933s] 316 | } [ 3933s] | ~ [ 3933s] 317 | } [ 3933s] | ~ [ 3933s] 318 | y[1] = (r - y[0]) - w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 319 | if (hx < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 320 | y[0] = -y[0]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 321 | y[1] = -y[1]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 322 | return -n; [ 3933s] | ~~~~~~~~~~ [ 3933s] 323 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 324 | return n; [ 3933s] | ~~~~~~~~~ [ 3933s] 325 | } [ 3933s] | ~ [ 3933s] 326 | } [ 3933s] | ~ [ 3933s] 327 | /* [ 3933s] | ~~ [ 3933s] 328 | * all other (large) arguments [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 329 | */ [ 3933s] | ~~ [ 3933s] 330 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 331 | y[0] = y[1] = x - x; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 332 | return 0; [ 3933s] | ~~~~~~~~~ [ 3933s] 333 | } [ 3933s] | ~ [ 3933s] 334 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 335 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 336 | SET_LOW_WORD(z, low); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 337 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 338 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 339 | for (i = 0; i < 2; i++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 340 | tx[i] = static_cast(static_cast(z)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 341 | z = (z - tx[i]) * two24; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 342 | } [ 3933s] | ~ [ 3933s] 343 | tx[2] = z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 344 | nx = 3; [ 3933s] | ~~~~~~~ [ 3933s] 345 | while (tx[nx - 1] == zero) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 346 | nx--; /* skip zero term */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 347 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 348 | if (hx < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 349 | y[0] = -y[0]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 350 | y[1] = -y[1]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 351 | return -n; [ 3933s] | ~~~~~~~~~~ [ 3933s] 352 | } [ 3933s] | ~ [ 3933s] 353 | return n; [ 3933s] | ~~~~~~~~~ [ 3933s] 354 | } [ 3933s] | ~ [ 3933s] 355 | [ 3933s] | [ 3933s] 356 | /* __kernel_cos( x, y ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 357 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 358 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 359 | * Input y is the tail of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 360 | * [ 3933s] | ~ [ 3933s] 361 | * Algorithm [ 3933s] | ~~~~~~~~~~~ [ 3933s] 362 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 363 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 364 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 365 | * [0,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 366 | * 4 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 367 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 368 | * where the remez error is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 369 | * [ 3933s] | ~ [ 3933s] 370 | * | 2 4 6 8 10 12 14 | -58 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 371 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 372 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 373 | * [ 3933s] | ~ [ 3933s] 374 | * 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 375 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 376 | * cos(x) = 1 - x*x/2 + r [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 377 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 378 | * ~ cos(x) - x*y, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 379 | * a correction term is necessary in cos(x) and hence [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 380 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 381 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 382 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 383 | * Then [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 384 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 385 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 386 | * magnitude of the latter is at least a quarter of x*x/2, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 387 | * thus, reducing the rounding error in the subtraction. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 388 | */ [ 3933s] | ~~ [ 3933s] 389 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 390 | { [ 3933s] | ~ [ 3933s] 391 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 392 | one [ 3933s] | ~~~ [ 3933s] 393 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 394 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 395 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 396 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 397 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 398 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 399 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 400 | [ 3933s] | [ 3933s] 401 | double a, iz, z, r, qx; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 402 | int32_t ix; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 403 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 404 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 405 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 406 | return one; /* generate inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 407 | } [ 3933s] | ~ [ 3933s] 408 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 409 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 410 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 411 | return one - (0.5 * z - (z * r - x * y)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 412 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 413 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 414 | qx = 0.28125; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 415 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 416 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 417 | } [ 3933s] | ~ [ 3933s] 418 | iz = 0.5 * z - qx; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 419 | a = one - qx; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 420 | return a - (iz - (z * r - x * y)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 421 | } [ 3933s] | ~ [ 3933s] 422 | } [ 3933s] | ~ [ 3933s] 423 | [ 3933s] | [ 3933s] 424 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 425 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 426 | * [ 3933s] | ~ [ 3933s] 427 | * __kernel_rem_pio2 return the last three digits of N with [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 428 | * y = x - N*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 429 | * so that |y| < pi/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 430 | * [ 3933s] | ~ [ 3933s] 431 | * The method is to compute the integer (mod 8) and fraction parts of [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 432 | * (2/pi)*x without doing the full multiplication. In general we [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 433 | * skip the part of the product that are known to be a huge integer ( [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 434 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 435 | * independent of the exponent of the input. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 436 | * [ 3933s] | ~ [ 3933s] 437 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 438 | * [ 3933s] | ~ [ 3933s] 439 | * Input parameters: [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 440 | * x[] The input value (must be positive) is broken into nx [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 441 | * pieces of 24-bit integers in double precision format. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 442 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 443 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 444 | * match x's up to 24 bits. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 445 | * [ 3933s] | ~ [ 3933s] 446 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 447 | * e0 = ilogb(z)-23 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 448 | * z = scalbn(z,-e0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 449 | * for i = 0,1,2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 450 | * x[i] = floor(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 451 | * z = (z-x[i])*2**24 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 452 | * [ 3933s] | ~ [ 3933s] 453 | * [ 3933s] | ~ [ 3933s] 454 | * y[] output result in an array of double precision numbers. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 455 | * The dimension of y[] is: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 456 | * 24-bit precision 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 457 | * 53-bit precision 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 458 | * 64-bit precision 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 459 | * 113-bit precision 3 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 460 | * The actual value is the sum of them. Thus for 113-bit [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 461 | * precison, one may have to do something like: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 462 | * [ 3933s] | ~ [ 3933s] 463 | * long double t,w,r_head, r_tail; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 464 | * t = (long double)y[2] + (long double)y[1]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 465 | * w = (long double)y[0]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 466 | * r_head = t+w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 467 | * r_tail = w - (r_head - t); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 468 | * [ 3933s] | ~ [ 3933s] 469 | * e0 The exponent of x[0] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 470 | * [ 3933s] | ~ [ 3933s] 471 | * nx dimension of x[] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 472 | * [ 3933s] | ~ [ 3933s] 473 | * prec an integer indicating the precision: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 474 | * 0 24 bits (single) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 475 | * 1 53 bits (double) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 476 | * 2 64 bits (extended) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 477 | * 3 113 bits (quad) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 478 | * [ 3933s] | ~ [ 3933s] 479 | * ipio2[] [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 480 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 481 | * bit of 2/pi after binary point. The corresponding [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 482 | * floating value is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 483 | * [ 3933s] | ~ [ 3933s] 484 | * ipio2[i] * 2^(-24(i+1)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 485 | * [ 3933s] | ~ [ 3933s] 486 | * External function: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 487 | * double scalbn(), floor(); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 488 | * [ 3933s] | ~ [ 3933s] 489 | * [ 3933s] | ~ [ 3933s] 490 | * Here is the description of some local variables: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 491 | * [ 3933s] | ~ [ 3933s] 492 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 493 | * in the computation. The recommended value is 2,3,4, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 494 | * 6 for single, double, extended,and quad. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 495 | * [ 3933s] | ~ [ 3933s] 496 | * jz local integer variable indicating the number of [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 497 | * terms of ipio2[] used. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 498 | * [ 3933s] | ~ [ 3933s] 499 | * jx nx - 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 500 | * [ 3933s] | ~ [ 3933s] 501 | * jv index for pointing to the suitable ipio2[] for the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 502 | * computation. In general, we want [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 503 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 504 | * is an integer. Thus [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 505 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 506 | * Hence jv = max(0,(e0-3)/24). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 507 | * [ 3933s] | ~ [ 3933s] 508 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 509 | * [ 3933s] | ~ [ 3933s] 510 | * q[] double array with integral value, representing the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 511 | * 24-bits chunk of the product of x and 2/pi. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 512 | * [ 3933s] | ~ [ 3933s] 513 | * q0 the corresponding exponent of q[0]. Note that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 514 | * exponent for q[i] would be q0-24*i. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 515 | * [ 3933s] | ~ [ 3933s] 516 | * PIo2[] double precision array, obtained by cutting pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 517 | * into 24 bits chunks. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 518 | * [ 3933s] | ~ [ 3933s] 519 | * f[] ipio2[] in floating point [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 520 | * [ 3933s] | ~ [ 3933s] 521 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 522 | * [ 3933s] | ~ [ 3933s] 523 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 524 | * [ 3933s] | ~ [ 3933s] 525 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 526 | * it also indicates the *sign* of the result. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 527 | * [ 3933s] | ~ [ 3933s] 528 | */ [ 3933s] | ~~ [ 3933s] 529 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 530 | const int32_t *ipio2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 531 | { [ 3933s] | ~ [ 3933s] 532 | /* Constants: [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 533 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 534 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 535 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 536 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 537 | */ [ 3933s] | ~~ [ 3933s] 538 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 539 | [ 3933s] | [ 3933s] 540 | constexpr double PIo2[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 541 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 542 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 543 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 544 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 545 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 546 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 547 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 548 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 549 | }; [ 3933s] | ~~ [ 3933s] 550 | [ 3933s] | [ 3933s] 551 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 552 | zero [ 3933s] | ~~~~ [ 3933s] 553 | = 0.0, [ 3933s] | ~~~~~~ [ 3933s] 554 | one = 1.0, [ 3933s] | ~~~~~~~~~~ [ 3933s] 555 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 556 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 557 | [ 3933s] | [ 3933s] 558 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 559 | double z, fw, f[20], fq[20], q[20]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 560 | [ 3933s] | [ 3933s] 561 | /* initialize jk*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 562 | jk = init_jk[prec]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 563 | jp = jk; [ 3933s] | ~~~~~~~~ [ 3933s] 564 | [ 3933s] | [ 3933s] 565 | /* determine jx,jv,q0, note that 3>q0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 566 | jx = nx - 1; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 567 | jv = (e0 - 3) / 24; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 568 | if (jv < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 569 | jv = 0; [ 3933s] | ~~~~~~~ [ 3933s] 570 | q0 = e0 - 24 * (jv + 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 571 | [ 3933s] | [ 3933s] 572 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 573 | j = jv - jx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 574 | m = jx + jk; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 575 | for (i = 0; i <= m; i++, j++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 576 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 577 | } [ 3933s] | ~ [ 3933s] 578 | [ 3933s] | [ 3933s] 579 | /* compute q[0],q[1],...q[jk] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 580 | for (i = 0; i <= jk; i++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 581 | for (j = 0, fw = 0.0; j <= jx; j++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 582 | fw += x[j] * f[jx + i - j]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 583 | q[i] = fw; [ 3933s] | ~~~~~~~~~~ [ 3933s] 584 | } [ 3933s] | ~ [ 3933s] 585 | [ 3933s] | [ 3933s] 586 | jz = jk; [ 3933s] | ~~~~~~~~ [ 3933s] 587 | recompute: [ 3933s] | ~~~~~~~~~~ [ 3933s] 588 | /* distill q[] into iq[] reversingly */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 589 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 590 | fw = static_cast(static_cast(twon24 * z)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 591 | iq[i] = static_cast(z - two24 * fw); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 592 | z = q[j - 1] + fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 593 | } [ 3933s] | ~ [ 3933s] 594 | [ 3933s] | [ 3933s] 595 | /* compute n */ [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 596 | z = scalbn(z, q0); /* actual value of z */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 597 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 598 | n = static_cast(z); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 599 | z -= static_cast(n); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 600 | ih = 0; [ 3933s] | ~~~~~~~ [ 3933s] 601 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 602 | i = (iq[jz - 1] >> (24 - q0)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 603 | n += i; [ 3933s] | ~~~~~~~ [ 3933s] 604 | iq[jz - 1] -= i << (24 - q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 605 | ih = iq[jz - 1] >> (23 - q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 606 | } else if (q0 == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 607 | ih = iq[jz - 1] >> 23; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 608 | } else if (z >= 0.5) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 609 | ih = 2; [ 3933s] | ~~~~~~~ [ 3933s] 610 | } [ 3933s] | ~ [ 3933s] 611 | [ 3933s] | [ 3933s] 612 | if (ih > 0) { /* q > 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 613 | n += 1; [ 3933s] | ~~~~~~~ [ 3933s] 614 | carry = 0; [ 3933s] | ~~~~~~~~~~ [ 3933s] 615 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 616 | j = iq[i]; [ 3933s] | ~~~~~~~~~~ [ 3933s] 617 | if (carry == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 618 | if (j != 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 619 | carry = 1; [ 3933s] | ~~~~~~~~~~ [ 3933s] 620 | iq[i] = 0x1000000 - j; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 621 | } [ 3933s] | ~ [ 3933s] 622 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 623 | iq[i] = 0xFFFFFF - j; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 624 | } [ 3933s] | ~ [ 3933s] 625 | } [ 3933s] | ~ [ 3933s] 626 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 627 | switch (q0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 628 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 629 | iq[jz - 1] &= 0x7FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 630 | break; [ 3933s] | ~~~~~~ [ 3933s] 631 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 632 | iq[jz - 1] &= 0x3FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 633 | break; [ 3933s] | ~~~~~~ [ 3933s] 634 | } [ 3933s] | ~ [ 3933s] 635 | } [ 3933s] | ~ [ 3933s] 636 | if (ih == 2) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 637 | z = one - z; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 638 | if (carry != 0) [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 639 | z -= scalbn(one, q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 640 | } [ 3933s] | ~ [ 3933s] 641 | } [ 3933s] | ~ [ 3933s] 642 | [ 3933s] | [ 3933s] 643 | /* check if recomputation is needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 644 | if (z == zero) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 645 | j = 0; [ 3933s] | ~~~~~~ [ 3933s] 646 | for (i = jz - 1; i >= jk; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 647 | j |= iq[i]; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 648 | if (j == 0) { /* need recomputation */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 649 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 650 | /* k = no. of terms needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 651 | } [ 3933s] | ~ [ 3933s] 652 | [ 3933s] | [ 3933s] 653 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 654 | f[jx + i] = ipio2[jv + i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 655 | for (j = 0, fw = 0.0; j <= jx; j++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 656 | fw += x[j] * f[jx + i - j]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 657 | q[i] = fw; [ 3933s] | ~~~~~~~~~~ [ 3933s] 658 | } [ 3933s] | ~ [ 3933s] 659 | jz += k; [ 3933s] | ~~~~~~~~ [ 3933s] 660 | goto recompute; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 661 | } [ 3933s] | ~ [ 3933s] 662 | } [ 3933s] | ~ [ 3933s] 663 | [ 3933s] | [ 3933s] 664 | /* chop off zero terms */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 665 | if (z == 0.0) { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 666 | jz -= 1; [ 3933s] | ~~~~~~~~ [ 3933s] 667 | q0 -= 24; [ 3933s] | ~~~~~~~~~ [ 3933s] 668 | while (iq[jz] == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 669 | jz--; [ 3933s] | ~~~~~ [ 3933s] 670 | q0 -= 24; [ 3933s] | ~~~~~~~~~ [ 3933s] 671 | } [ 3933s] | ~ [ 3933s] 672 | } else { /* break z into 24-bit if necessary */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 673 | z = scalbn(z, -q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 674 | if (z >= two24) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 675 | fw = static_cast(static_cast(twon24 * z)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 676 | iq[jz] = z - two24 * fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 677 | jz += 1; [ 3933s] | ~~~~~~~~ [ 3933s] 678 | q0 += 24; [ 3933s] | ~~~~~~~~~ [ 3933s] 679 | iq[jz] = fw; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 680 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 681 | iq[jz] = z; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 682 | } [ 3933s] | ~ [ 3933s] 683 | } [ 3933s] | ~ [ 3933s] 684 | [ 3933s] | [ 3933s] 685 | /* convert integer "bit" chunk to floating-point value */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 686 | fw = scalbn(one, q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 687 | for (i = jz; i >= 0; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 688 | q[i] = fw * iq[i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 689 | fw *= twon24; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 690 | } [ 3933s] | ~ [ 3933s] 691 | [ 3933s] | [ 3933s] 692 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 693 | for (i = jz; i >= 0; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 694 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 695 | fw += PIo2[k] * q[i + k]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 696 | fq[jz - i] = fw; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 697 | } [ 3933s] | ~ [ 3933s] 698 | [ 3933s] | [ 3933s] 699 | /* compress fq[] into y[] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 700 | switch (prec) { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 701 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 702 | fw = 0.0; [ 3933s] | ~~~~~~~~~ [ 3933s] 703 | for (i = jz; i >= 0; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 704 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 705 | y[0] = (ih == 0) ? fw : -fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 706 | break; [ 3933s] | ~~~~~~ [ 3933s] 707 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 708 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 709 | fw = 0.0; [ 3933s] | ~~~~~~~~~ [ 3933s] 710 | for (i = jz; i >= 0; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 711 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 712 | y[0] = (ih == 0) ? fw : -fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 713 | fw = fq[0] - fw; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 714 | for (i = 1; i <= jz; i++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 715 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 716 | y[1] = (ih == 0) ? fw : -fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 717 | break; [ 3933s] | ~~~~~~ [ 3933s] 718 | case 3: /* painful */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 719 | for (i = jz; i > 0; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 720 | fw = fq[i - 1] + fq[i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 721 | fq[i] += fq[i - 1] - fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 722 | fq[i - 1] = fw; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 723 | } [ 3933s] | ~ [ 3933s] 724 | for (i = jz; i > 1; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 725 | fw = fq[i - 1] + fq[i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 726 | fq[i] += fq[i - 1] - fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 727 | fq[i - 1] = fw; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 728 | } [ 3933s] | ~ [ 3933s] 729 | for (fw = 0.0, i = jz; i >= 2; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 730 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 731 | if (ih == 0) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 732 | y[0] = fq[0]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 733 | y[1] = fq[1]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 734 | y[2] = fw; [ 3933s] | ~~~~~~~~~~ [ 3933s] 735 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 736 | y[0] = -fq[0]; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 737 | y[1] = -fq[1]; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 738 | y[2] = -fw; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 739 | } [ 3933s] | ~ [ 3933s] 740 | } [ 3933s] | ~ [ 3933s] 741 | return n & 7; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 742 | } [ 3933s] | ~ [ 3933s] 743 | [ 3933s] | [ 3933s] 744 | /* __kernel_sin( x, y, iy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 745 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 746 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 747 | * Input y is the tail of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 748 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 749 | * [ 3933s] | ~ [ 3933s] 750 | * Algorithm [ 3933s] | ~~~~~~~~~~~ [ 3933s] 751 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 752 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 753 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 754 | * [0,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 755 | * 3 13 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 756 | * sin(x) ~ x + S1*x + ... + S6*x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 757 | * where [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 758 | * [ 3933s] | ~ [ 3933s] 759 | * |sin(x) 2 4 6 8 10 12 | -58 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 760 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 761 | * | x | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 762 | * [ 3933s] | ~ [ 3933s] 763 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 764 | * ~ sin(x) + (1-x*x/2)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 765 | * For better accuracy, let [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 766 | * 3 2 2 2 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 767 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 768 | * then 3 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 769 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 770 | */ [ 3933s] | ~~ [ 3933s] 771 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 772 | { [ 3933s] | ~ [ 3933s] 773 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 774 | half [ 3933s] | ~~~~ [ 3933s] 775 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 776 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 777 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 778 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 779 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 780 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 781 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 782 | [ 3933s] | [ 3933s] 783 | double z, r, v; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 784 | int32_t ix; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 785 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 786 | ix &= 0x7FFFFFFF; /* high word of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 787 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 788 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 789 | } /* generate inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 790 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 791 | v = z * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 792 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 793 | if (iy == 0) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 794 | return x + v * (S1 + z * r); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 795 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 796 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 797 | } [ 3933s] | ~ [ 3933s] 798 | } [ 3933s] | ~ [ 3933s] 799 | [ 3933s] | [ 3933s] 800 | /* __kernel_tan( x, y, k ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 801 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 802 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 803 | * Input y is the tail of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 804 | * Input k indicates whether tan (if k=1) or [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 805 | * -1/tan (if k= -1) is returned. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 806 | * [ 3933s] | ~ [ 3933s] 807 | * Algorithm [ 3933s] | ~~~~~~~~~~~ [ 3933s] 808 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 809 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 810 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 811 | * [0,0.67434] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 812 | * 3 27 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 813 | * tan(x) ~ x + T1*x + ... + T13*x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 814 | * where [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 815 | * [ 3933s] | ~ [ 3933s] 816 | * |tan(x) 2 4 26 | -59.2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 817 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 818 | * | x | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 819 | * [ 3933s] | ~ [ 3933s] 820 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 821 | * ~ tan(x) + (1+x*x)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 822 | * Therefore, for better accuracy in computing tan(x+y), let [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 823 | * 3 2 2 2 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 824 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 825 | * then [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 826 | * 3 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 827 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 828 | * [ 3933s] | ~ [ 3933s] 829 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 830 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 831 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 832 | */ [ 3933s] | ~~ [ 3933s] 833 | double __kernel_tan(double x, double y, int iy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 834 | { [ 3933s] | ~ [ 3933s] 835 | constexpr double xxx[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 836 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 837 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 838 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 839 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 840 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 841 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 842 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 843 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 844 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 845 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 846 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 847 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 848 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 849 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 850 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 851 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 852 | }; [ 3933s] | ~~ [ 3933s] 853 | #define one xxx[13] [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 854 | #define pio4 xxx[14] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 855 | #define pio4lo xxx[15] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 856 | #define T xxx [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 857 | [ 3933s] | [ 3933s] 858 | double z, r, v, w, s; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 859 | int32_t ix, hx; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 860 | [ 3933s] | [ 3933s] 861 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 862 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 863 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 864 | /* generate inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 865 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 866 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 867 | if (((ix | low) | (iy + 1)) == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 868 | return one / fabs(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 869 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 870 | if (iy == 1) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 871 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 872 | } else { /* compute -1 / (x+y) carefully */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 873 | double a, t; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 874 | [ 3933s] | [ 3933s] 875 | z = w = x + y; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 876 | SET_LOW_WORD(z, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 877 | v = y - (z - x); [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 878 | t = a = -one / w; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 879 | SET_LOW_WORD(t, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 880 | s = one + t * z; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 881 | return t + a * (s + t * v); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 882 | } [ 3933s] | ~ [ 3933s] 883 | } [ 3933s] | ~ [ 3933s] 884 | } [ 3933s] | ~ [ 3933s] 885 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 886 | if (hx < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 887 | x = -x; [ 3933s] | ~~~~~~~ [ 3933s] 888 | y = -y; [ 3933s] | ~~~~~~~ [ 3933s] 889 | } [ 3933s] | ~ [ 3933s] 890 | z = pio4 - x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 891 | w = pio4lo - y; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 892 | x = z + w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 893 | y = 0.0; [ 3933s] | ~~~~~~~~ [ 3933s] 894 | } [ 3933s] | ~ [ 3933s] 895 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 896 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 897 | /* [ 3933s] | ~~ [ 3933s] 898 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 899 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 900 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 901 | */ [ 3933s] | ~~ [ 3933s] 902 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 903 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 904 | s = z * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 905 | r = y + z * (s * (r + v) + y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 906 | r += T[0] * s; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 907 | w = x + r; [ 3933s] | ~~~~~~~~~~ [ 3933s] 908 | if (ix >= 0x3FE59428) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 909 | v = iy; [ 3933s] | ~~~~~~~ [ 3933s] 910 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 911 | } [ 3933s] | ~ [ 3933s] 912 | if (iy == 1) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 913 | return w; [ 3933s] | ~~~~~~~~~ [ 3933s] 914 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 915 | /* [ 3933s] | ~~ [ 3933s] 916 | * if allow error up to 2 ulp, simply return [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 917 | * -1.0 / (x+r) here [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 918 | */ [ 3933s] | ~~ [ 3933s] 919 | /* compute -1.0 / (x+r) accurately */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 920 | double a, t; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 921 | z = w; [ 3933s] | ~~~~~~ [ 3933s] 922 | SET_LOW_WORD(z, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 923 | v = r - (z - x); /* z+v = r+x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 924 | t = a = -1.0 / w; /* a = -1.0/w */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 925 | SET_LOW_WORD(t, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 926 | s = 1.0 + t * z; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 927 | return t + a * (s + t * v); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 928 | } [ 3933s] | ~ [ 3933s] 929 | [ 3933s] | [ 3933s] 930 | #undef one [ 3933s] | ~~~~~~~~~~ [ 3933s] 931 | #undef pio4 [ 3933s] | ~~~~~~~~~~~ [ 3933s] 932 | #undef pio4lo [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 933 | #undef T [ 3933s] | ~~~~~~~~ [ 3933s] 934 | } [ 3933s] | ~ [ 3933s] 935 | [ 3933s] | [ 3933s] 936 | } // namespace [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 937 | [ 3933s] | [ 3933s] 938 | /* acos(x) [ 3933s] | ~~~~~~~~~~ [ 3933s] 939 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 940 | * acos(x) = pi/2 - asin(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 941 | * acos(-x) = pi/2 + asin(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 942 | * For |x|<=0.5 [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 943 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 944 | * For x>0.5 [ 3933s] | ~~~~~~~~~~~ [ 3933s] 945 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 946 | * = 2asin(sqrt((1-x)/2)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 947 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 948 | * = 2f + (2c + 2s*z*R(z)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 949 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 950 | * for f so that f+c ~ sqrt(z). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 951 | * For x<-0.5 [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 952 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 953 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 954 | * [ 3933s] | ~ [ 3933s] 955 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 956 | * if x is NaN, return x itself; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 957 | * if |x|>1, return NaN with invalid signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 958 | * [ 3933s] | ~ [ 3933s] 959 | * Function needed: sqrt [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 960 | */ [ 3933s] | ~~ [ 3933s] 961 | double acos(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 962 | { [ 3933s] | ~ [ 3933s] 963 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 964 | one [ 3933s] | ~~~ [ 3933s] 965 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 966 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 967 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 968 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 969 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 970 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 971 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 972 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 973 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 974 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 975 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 976 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 977 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 978 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 979 | [ 3933s] | [ 3933s] 980 | double z, p, q, r, w, s, c, df; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 981 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 982 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 983 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 984 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 985 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 986 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 987 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 988 | if (hx > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 989 | return 0.0; /* acos(1) = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 990 | else [ 3933s] | ~~~~ [ 3933s] 991 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 992 | } [ 3933s] | ~ [ 3933s] 993 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 994 | } [ 3933s] | ~ [ 3933s] 995 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 996 | if (ix <= 0x3C600000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 997 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 998 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 999 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1000 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1001 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1002 | return pio2_hi - (x - (pio2_lo - x * r)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1003 | } else if (hx < 0) { /* x < -0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1004 | z = (one + x) * 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1005 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1006 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1007 | s = sqrt(z); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1008 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1009 | w = r * s - pio2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1010 | return pi - 2.0 * (s + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1011 | } else { /* x > 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1012 | z = (one - x) * 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1013 | s = sqrt(z); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1014 | df = s; [ 3933s] | ~~~~~~~ [ 3933s] 1015 | SET_LOW_WORD(df, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1016 | c = (z - df * df) / (s + df); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1017 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1018 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1019 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1020 | w = r * s + c; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1021 | return 2.0 * (df + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1022 | } [ 3933s] | ~ [ 3933s] 1023 | } [ 3933s] | ~ [ 3933s] 1024 | [ 3933s] | [ 3933s] 1025 | /* acosh(x) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1026 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1027 | * Based on [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1028 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1029 | * we have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1030 | * acosh(x) := log(x)+ln2, if x is large; else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1031 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1032 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1033 | * [ 3933s] | ~ [ 3933s] 1034 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1035 | * acosh(x) is NaN with signal if x<1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1036 | * acosh(NaN) is NaN without signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1037 | */ [ 3933s] | ~~ [ 3933s] 1038 | double acosh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1039 | { [ 3933s] | ~ [ 3933s] 1040 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1041 | one [ 3933s] | ~~~ [ 3933s] 1042 | = 1.0, [ 3933s] | ~~~~~~ [ 3933s] 1043 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1044 | double t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1045 | int32_t hx; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1046 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1047 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1048 | if (hx < 0x3FF00000) { /* x < 1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1049 | return (x - x) / (x - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1050 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1051 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1052 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1053 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1054 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1055 | } [ 3933s] | ~ [ 3933s] 1056 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1057 | return 0.0; /* acosh(1) = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1058 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1059 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1060 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1061 | } else { /* 10.98 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1081 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1082 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1083 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1084 | * f = hi part of s; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1085 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1086 | * and [ 3933s] | ~~~~~~~~~~ [ 3933s] 1087 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1088 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1089 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1090 | * [ 3933s] | ~ [ 3933s] 1091 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1092 | * if x is NaN, return x itself; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1093 | * if |x|>1, return NaN with invalid signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1094 | */ [ 3933s] | ~~ [ 3933s] 1095 | double asin(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1096 | { [ 3933s] | ~ [ 3933s] 1097 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1098 | one [ 3933s] | ~~~ [ 3933s] 1099 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1100 | huge = 1.000e+300, [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1101 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1102 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1103 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1104 | /* coefficient for R(x^2) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1105 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1106 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1107 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1108 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1109 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1110 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1111 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1112 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1113 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1114 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1115 | [ 3933s] | [ 3933s] 1116 | double t, w, p, q, c, r, s; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1117 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1118 | [ 3933s] | [ 3933s] 1119 | t = 0; [ 3933s] | ~~~~~~ [ 3933s] 1120 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1121 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1122 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1123 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1124 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1125 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1126 | return x * pio2_hi + x * pio2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1127 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1128 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1129 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1130 | return x; /* return x with inexact if x!=0*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1131 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1132 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1133 | } [ 3933s] | ~ [ 3933s] 1134 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1135 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1136 | w = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1137 | return x + x * w; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1138 | } [ 3933s] | ~ [ 3933s] 1139 | /* 1> |x|>= 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1140 | w = one - fabs(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1141 | t = w * 0.5; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1142 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1143 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1144 | s = sqrt(t); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1145 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1146 | w = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1147 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1148 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1149 | w = s; [ 3933s] | ~~~~~~ [ 3933s] 1150 | SET_LOW_WORD(w, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1151 | c = (t - w * w) / (s + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1152 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1153 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1154 | q = pio4_hi - 2.0 * w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1155 | t = pio4_hi - (p - q); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1156 | } [ 3933s] | ~ [ 3933s] 1157 | if (hx > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1158 | return t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1159 | else [ 3933s] | ~~~~ [ 3933s] 1160 | return -t; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1161 | } [ 3933s] | ~ [ 3933s] 1162 | /* asinh(x) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1163 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1164 | * Based on [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1165 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1166 | * we have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1167 | * asinh(x) := x if 1+x*x=1, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1168 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1169 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1170 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1171 | */ [ 3933s] | ~~ [ 3933s] 1172 | double asinh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1173 | { [ 3933s] | ~ [ 3933s] 1174 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1175 | one [ 3933s] | ~~~ [ 3933s] 1176 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1177 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1178 | huge = 1.00000000000000000000e+300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1179 | [ 3933s] | [ 3933s] 1180 | double t, w; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1181 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1182 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1183 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1184 | if (ix >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1185 | return x + x; /* x is inf or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1186 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1187 | return x; /* return x inexact except 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1188 | } [ 3933s] | ~ [ 3933s] 1189 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1190 | w = log(fabs(x)) + ln2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1191 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1192 | t = fabs(x); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1193 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1194 | } else { /* 2.0 > |x| > 2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1195 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1196 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1197 | } [ 3933s] | ~ [ 3933s] 1198 | if (hx > 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1199 | return w; [ 3933s] | ~~~~~~~~~ [ 3933s] 1200 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1201 | return -w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1202 | } [ 3933s] | ~ [ 3933s] 1203 | } [ 3933s] | ~ [ 3933s] 1204 | [ 3933s] | [ 3933s] 1205 | /* atan(x) [ 3933s] | ~~~~~~~~~~ [ 3933s] 1206 | * Method [ 3933s] | ~~~~~~~~ [ 3933s] 1207 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1208 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1209 | * is further reduced to one of the following intervals and the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1210 | * arctangent of t is evaluated by the corresponding formula: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1211 | * [ 3933s] | ~ [ 3933s] 1212 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1213 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1214 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1215 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1216 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1217 | * [ 3933s] | ~ [ 3933s] 1218 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1219 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1220 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1221 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1222 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1223 | */ [ 3933s] | ~~ [ 3933s] 1224 | double atan(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1225 | { [ 3933s] | ~ [ 3933s] 1226 | constexpr double atanhi[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1227 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1228 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1229 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1230 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1231 | }; [ 3933s] | ~~ [ 3933s] 1232 | [ 3933s] | [ 3933s] 1233 | constexpr double atanlo[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1234 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1235 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1236 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1237 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1238 | }; [ 3933s] | ~~ [ 3933s] 1239 | [ 3933s] | [ 3933s] 1240 | constexpr double aT[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1241 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1242 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1243 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1244 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1245 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1246 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1247 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1248 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1249 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1250 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1251 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1252 | }; [ 3933s] | ~~ [ 3933s] 1253 | [ 3933s] | [ 3933s] 1254 | constexpr double one = 1.0, huge = 1.0e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1255 | [ 3933s] | [ 3933s] 1256 | double w, s1, s2, z; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1257 | int32_t ix, hx, id; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1258 | [ 3933s] | [ 3933s] 1259 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1260 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1261 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1262 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1263 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1264 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1265 | return x + x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1266 | if (hx > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1267 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1268 | else [ 3933s] | ~~~~ [ 3933s] 1269 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1270 | } [ 3933s] | ~ [ 3933s] 1271 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1272 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1273 | return x; /* raise inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1274 | } [ 3933s] | ~ [ 3933s] 1275 | id = -1; [ 3933s] | ~~~~~~~~ [ 3933s] 1276 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1277 | x = fabs(x); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1278 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1279 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1280 | id = 0; [ 3933s] | ~~~~~~~ [ 3933s] 1281 | x = (2.0 * x - one) / (2.0 + x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1282 | } else { /* 11/16<=|x|< 19/16 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1283 | id = 1; [ 3933s] | ~~~~~~~ [ 3933s] 1284 | x = (x - one) / (x + one); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1285 | } [ 3933s] | ~ [ 3933s] 1286 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1287 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1288 | id = 2; [ 3933s] | ~~~~~~~ [ 3933s] 1289 | x = (x - 1.5) / (one + 1.5 * x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1290 | } else { /* 2.4375 <= |x| < 2^66 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1291 | id = 3; [ 3933s] | ~~~~~~~ [ 3933s] 1292 | x = -1.0 / x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1293 | } [ 3933s] | ~ [ 3933s] 1294 | } [ 3933s] | ~ [ 3933s] 1295 | } [ 3933s] | ~ [ 3933s] 1296 | /* end of argument reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1297 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1298 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1299 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1300 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1301 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1302 | if (id < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1303 | return x - x * (s1 + s2); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1304 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1305 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1306 | return (hx < 0) ? -z : z; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1307 | } [ 3933s] | ~ [ 3933s] 1308 | } [ 3933s] | ~ [ 3933s] 1309 | [ 3933s] | [ 3933s] 1310 | /* atan2(y,x) [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1311 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1312 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1313 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1314 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1315 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1316 | * [ 3933s] | ~ [ 3933s] 1317 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1318 | * [ 3933s] | ~ [ 3933s] 1319 | * ATAN2((anything), NaN ) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1320 | * ATAN2(NAN , (anything) ) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1321 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1322 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1323 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1324 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1325 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1326 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1327 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1328 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1329 | * [ 3933s] | ~ [ 3933s] 1330 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1331 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1332 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1333 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1334 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1335 | */ [ 3933s] | ~~ [ 3933s] 1336 | double atan2(double y, double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1337 | { [ 3933s] | ~ [ 3933s] 1338 | constexpr volatile double tiny = 1.0e-300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1339 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1340 | zero [ 3933s] | ~~~~ [ 3933s] 1341 | = 0.0, [ 3933s] | ~~~~~~ [ 3933s] 1342 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1343 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1344 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1345 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1346 | [ 3933s] | [ 3933s] 1347 | double z; [ 3933s] | ~~~~~~~~~ [ 3933s] 1348 | int32_t k, m, hx, hy, ix, iy; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1349 | uint32_t lx, ly; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1350 | [ 3933s] | [ 3933s] 1351 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1352 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1353 | EXTRACT_WORDS(hy, ly, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1354 | iy = hy & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1355 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1356 | return x + y; /* x or y is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1357 | } [ 3933s] | ~ [ 3933s] 1358 | if (((hx - 0x3FF00000) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1359 | return atan(y); /* x=1.0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1360 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1361 | [ 3933s] | [ 3933s] 1362 | /* when y = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1363 | if ((iy | ly) == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1364 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1365 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1366 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1367 | return y; /* atan(+-0,+anything)=+-0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1368 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1369 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1370 | case 3: [ 3933s] | ~~~~~~~ [ 3933s] 1371 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1372 | } [ 3933s] | ~ [ 3933s] 1373 | } [ 3933s] | ~ [ 3933s] 1374 | /* when x = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1375 | if ((ix | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1376 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1377 | [ 3933s] | [ 3933s] 1378 | /* when x is INF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1379 | if (ix == 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1380 | if (iy == 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1381 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1382 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1383 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1384 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1385 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1386 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1387 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1388 | case 3: [ 3933s] | ~~~~~~~ [ 3933s] 1389 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1390 | } [ 3933s] | ~ [ 3933s] 1391 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1392 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1393 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1394 | return zero; /* atan(+...,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1395 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1396 | return -zero; /* atan(-...,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1397 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1398 | return pi + tiny; /* atan(+...,-INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1399 | case 3: [ 3933s] | ~~~~~~~ [ 3933s] 1400 | return -pi - tiny; /* atan(-...,-INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1401 | } [ 3933s] | ~ [ 3933s] 1402 | } [ 3933s] | ~ [ 3933s] 1403 | } [ 3933s] | ~ [ 3933s] 1404 | /* when y is INF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1405 | if (iy == 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1406 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1407 | [ 3933s] | [ 3933s] 1408 | /* compute y/x */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1409 | k = (iy - ix) >> 20; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1410 | if (k > 60) { /* |y/x| > 2**60 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1411 | z = pi_o_2 + 0.5 * pi_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1412 | m &= 1; [ 3933s] | ~~~~~~~ [ 3933s] 1413 | } else if (hx < 0 && k < -60) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1414 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1415 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1416 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1417 | } [ 3933s] | ~ [ 3933s] 1418 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1419 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1420 | return z; /* atan(+,+) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1421 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1422 | return -z; /* atan(-,+) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1423 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1424 | return pi - (z - pi_lo); /* atan(+,-) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1425 | default: /* case 3 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1426 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1427 | } [ 3933s] | ~ [ 3933s] 1428 | } [ 3933s] | ~ [ 3933s] 1429 | [ 3933s] | [ 3933s] 1430 | /* cos(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 1431 | * Return cosine function of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1432 | * [ 3933s] | ~ [ 3933s] 1433 | * kernel function: [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1434 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1435 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1436 | * __ieee754_rem_pio2 ... argument reduction routine [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1437 | * [ 3933s] | ~ [ 3933s] 1438 | * Method. [ 3933s] | ~~~~~~~~~ [ 3933s] 1439 | * Let S,C and T denote the sin, cos and tan respectively on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1440 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1441 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1442 | * We have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1443 | * [ 3933s] | ~ [ 3933s] 1444 | * n sin(x) cos(x) tan(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1445 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1446 | * 0 S C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1447 | * 1 C -S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1448 | * 2 -S -C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1449 | * 3 -C S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1450 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1451 | * [ 3933s] | ~ [ 3933s] 1452 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1453 | * Let trig be any of sin, cos, or tan. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1454 | * trig(+-INF) is NaN, with signals; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1455 | * trig(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1456 | * [ 3933s] | ~ [ 3933s] 1457 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1458 | * TRIG(x) returns trig(x) nearly rounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1459 | */ [ 3933s] | ~~ [ 3933s] 1460 | double cos(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1461 | { [ 3933s] | ~ [ 3933s] 1462 | double y[2], z = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1463 | int32_t n, ix; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1464 | [ 3933s] | [ 3933s] 1465 | /* High word of x. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1466 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1467 | [ 3933s] | [ 3933s] 1468 | /* |x| ~< pi/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1469 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1470 | if (ix <= 0x3FE921FB) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1471 | return __kernel_cos(x, z); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1472 | } else if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1473 | /* cos(Inf or NaN) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1474 | return x - x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1475 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1476 | /* argument reduction needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1477 | n = __ieee754_rem_pio2(x, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1478 | switch (n & 3) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1479 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1480 | return __kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1481 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1482 | return -__kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1483 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1484 | return -__kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1485 | default: [ 3933s] | ~~~~~~~~ [ 3933s] 1486 | return __kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1487 | } [ 3933s] | ~ [ 3933s] 1488 | } [ 3933s] | ~ [ 3933s] 1489 | } [ 3933s] | ~ [ 3933s] 1490 | [ 3933s] | [ 3933s] 1491 | /* exp(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 1492 | * Returns the exponential of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1493 | * [ 3933s] | ~ [ 3933s] 1494 | * Method [ 3933s] | ~~~~~~~~ [ 3933s] 1495 | * 1. Argument reduction: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1496 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1497 | * Given x, find r and integer k such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1498 | * [ 3933s] | ~ [ 3933s] 1499 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1500 | * [ 3933s] | ~ [ 3933s] 1501 | * Here r will be represented as r = hi-lo for better [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1502 | * accuracy. [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1503 | * [ 3933s] | ~ [ 3933s] 1504 | * 2. Approximation of exp(r) by a special rational function on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1505 | * the interval [0,0.34658]: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1506 | * Write [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1507 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1508 | * We use a special Remes algorithm on [0,0.34658] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1509 | * a polynomial of degree 5 to approximate R. The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1510 | * of this polynomial approximation is bounded by 2**-59. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1511 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1512 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1513 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1514 | * and [ 3933s] | ~~~~~~~~~~ [ 3933s] 1515 | * | 5 | -59 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1516 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1517 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1518 | * The computation of exp(r) thus becomes [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1519 | * 2*r [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1520 | * exp(r) = 1 + ------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1521 | * R - r [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1522 | * r*R1(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1523 | * = 1 + r + ----------- (for better accuracy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1524 | * 2 - R1(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1525 | * where [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1526 | * 2 4 10 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1527 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1528 | * [ 3933s] | ~ [ 3933s] 1529 | * 3. Scale back to obtain exp(x): [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1530 | * From step 1, we have [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1531 | * exp(x) = 2^k * exp(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1532 | * [ 3933s] | ~ [ 3933s] 1533 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1534 | * exp(INF) is INF, exp(NaN) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1535 | * exp(-INF) is 0, and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1536 | * for finite argument, only exp(0)=1 is exact. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1537 | * [ 3933s] | ~ [ 3933s] 1538 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1539 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1540 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1541 | * [ 3933s] | ~ [ 3933s] 1542 | * Misc. info. [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1543 | * For IEEE double [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1544 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1545 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1546 | * [ 3933s] | ~ [ 3933s] 1547 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1548 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1549 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1550 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1551 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1552 | */ [ 3933s] | ~~ [ 3933s] 1553 | double exp(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1554 | { [ 3933s] | ~ [ 3933s] 1555 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1556 | one [ 3933s] | ~~~ [ 3933s] 1557 | = 1.0, [ 3933s] | ~~~~~~ [ 3933s] 1558 | halF[2] = { 0.5, -0.5 }, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1559 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1560 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1561 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1562 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1563 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1564 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1565 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1566 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1567 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1568 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1569 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1570 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1571 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1572 | [ 3933s] | [ 3933s] 1573 | constexpr volatile double [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1574 | huge [ 3933s] | ~~~~ [ 3933s] 1575 | = 1.0e+300, [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1576 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1577 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1578 | [ 3933s] | [ 3933s] 1579 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1580 | int32_t k = 0, xsb; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1581 | uint32_t hx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1582 | [ 3933s] | [ 3933s] 1583 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1584 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1585 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1586 | [ 3933s] | [ 3933s] 1587 | /* filter out non-finite argument */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1588 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1589 | if (hx >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1590 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1591 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1592 | if (((hx & 0xFFFFF) | lx) != 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1593 | return x + x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1594 | else [ 3933s] | ~~~~ [ 3933s] 1595 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1596 | } [ 3933s] | ~ [ 3933s] 1597 | if (x > o_threshold) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1598 | return huge * huge; /* overflow */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1599 | if (x < u_threshold) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1600 | return twom1000 * twom1000; /* underflow */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1601 | } [ 3933s] | ~ [ 3933s] 1602 | [ 3933s] | [ 3933s] 1603 | /* argument reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1604 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1605 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1606 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1607 | * value of E, as the computation below would get the last bit [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1608 | * wrong. We should probably fix the algorithm instead. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1609 | */ [ 3933s] | ~~ [ 3933s] 1610 | if (x == 1.0) [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1611 | return E; [ 3933s] | ~~~~~~~~~ [ 3933s] 1612 | hi = x - ln2HI[xsb]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1613 | lo = ln2LO[xsb]; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1614 | k = 1 - xsb - xsb; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1615 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1616 | k = static_cast(invln2 * x + halF[xsb]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1617 | t = k; [ 3933s] | ~~~~~~ [ 3933s] 1618 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1619 | lo = t * ln2LO[0]; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1620 | } [ 3933s] | ~ [ 3933s] 1621 | STRICT_ASSIGN(double, x, hi - lo); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1622 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1623 | if (huge + x > one) [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1624 | return one + x; /* trigger inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1625 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1626 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 1627 | } [ 3933s] | ~ [ 3933s] 1628 | [ 3933s] | [ 3933s] 1629 | /* x is now in primary range */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1630 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1631 | if (k >= -1021) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1632 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1633 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1634 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1635 | } [ 3933s] | ~ [ 3933s] 1636 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1637 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1638 | return one - ((x * c) / (c - 2.0) - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1639 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1640 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1641 | } [ 3933s] | ~ [ 3933s] 1642 | if (k >= -1021) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1643 | if (k == 1024) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1644 | return y * 2.0 * two1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1645 | return y * twopk; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1646 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1647 | return y * twopk * twom1000; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1648 | } [ 3933s] | ~ [ 3933s] 1649 | } [ 3933s] | ~ [ 3933s] 1650 | [ 3933s] | [ 3933s] 1651 | /* [ 3933s] | ~~ [ 3933s] 1652 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1653 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1654 | * 2.For x>=0.5 [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1655 | * 1 2x x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1656 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1657 | * 2 1 - x 1 - x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1658 | * [ 3933s] | ~ [ 3933s] 1659 | * For x<0.5 [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1660 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1661 | * [ 3933s] | ~ [ 3933s] 1662 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1663 | * atanh(x) is NaN if |x| > 1 with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1664 | * atanh(NaN) is that NaN with no signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1665 | * atanh(+-1) is +-INF with signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1666 | * [ 3933s] | ~ [ 3933s] 1667 | */ [ 3933s] | ~~ [ 3933s] 1668 | double atanh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1669 | { [ 3933s] | ~ [ 3933s] 1670 | constexpr double one = 1.0, huge = 1e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1671 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1672 | [ 3933s] | [ 3933s] 1673 | double t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1674 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1675 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1676 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1677 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1678 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1679 | return (x - x) / (x - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1680 | if (ix == 0x3FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1681 | return x / zero; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1682 | if (ix < 0x3E300000 && (huge + x) > zero) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1683 | return x; /* x<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1684 | SET_HIGH_WORD(x, ix); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1685 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1686 | t = x + x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1687 | t = 0.5 * log1p(t + t * x / (one - x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1688 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1689 | t = 0.5 * log1p((x + x) / (one - x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1690 | } [ 3933s] | ~ [ 3933s] 1691 | if (hx >= 0) [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1692 | return t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1693 | else [ 3933s] | ~~~~ [ 3933s] 1694 | return -t; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1695 | } [ 3933s] | ~ [ 3933s] 1696 | [ 3933s] | [ 3933s] 1697 | /* log(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 1698 | * Return the logrithm of x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1699 | * [ 3933s] | ~ [ 3933s] 1700 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1701 | * 1. Argument Reduction: find k and f such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1702 | * x = 2^k * (1+f), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1703 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1704 | * [ 3933s] | ~ [ 3933s] 1705 | * 2. Approximation of log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1706 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1707 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1708 | * = 2s + s*R [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1709 | * We use a special Reme algorithm on [0,0.1716] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1710 | * a polynomial of degree 14 to approximate R The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1711 | * of this polynomial approximation is bounded by 2**-58.45. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1712 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1713 | * 2 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1714 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1715 | * (the values of Lg1 to Lg7 are listed in the program) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1716 | * and [ 3933s] | ~~~~~~ [ 3933s] 1717 | * | 2 14 | -58.45 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1718 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1719 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1720 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1721 | * In order to guarantee error in log below 1ulp, we compute log [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1722 | * by [ 3933s] | ~~~~~ [ 3933s] 1723 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1724 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1725 | * [ 3933s] | ~ [ 3933s] 1726 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1727 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1728 | * Here ln2 is split into two floating point number: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1729 | * ln2_hi + ln2_lo, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1730 | * where n*ln2_hi is always exact for |n| < 2000. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1731 | * [ 3933s] | ~ [ 3933s] 1732 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1733 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1734 | * log(+INF) is +INF; log(0) is -INF with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1735 | * log(NaN) is that NaN with no signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1736 | * [ 3933s] | ~ [ 3933s] 1737 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1738 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1739 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1740 | * [ 3933s] | ~ [ 3933s] 1741 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1742 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1743 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1744 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1745 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1746 | */ [ 3933s] | ~~ [ 3933s] 1747 | double log(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1748 | { [ 3933s] | ~ [ 3933s] 1749 | constexpr double /* -- */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1750 | ln2_hi [ 3933s] | ~~~~~~ [ 3933s] 1751 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1752 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1753 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1754 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1755 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1756 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1757 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1758 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1759 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1760 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1761 | [ 3933s] | [ 3933s] 1762 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1763 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1764 | [ 3933s] | [ 3933s] 1765 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1766 | int32_t k, hx, i, j; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1767 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1768 | [ 3933s] | [ 3933s] 1769 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1770 | [ 3933s] | [ 3933s] 1771 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 1772 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1773 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1774 | return -two54 / vzero; /* log(+-0)=-inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1775 | if (hx < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1776 | return (x - x) / zero; /* log(-#) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1777 | k -= 54; [ 3933s] | ~~~~~~~~ [ 3933s] 1778 | x *= two54; /* subnormal number, scale up x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1779 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1780 | } [ 3933s] | ~ [ 3933s] 1781 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1782 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1783 | k += (hx >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1784 | hx &= 0x000FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1785 | i = (hx + 0x95F64) & 0x100000; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1786 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1787 | k += (i >> 20); [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1788 | f = x - 1.0; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1789 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1790 | if (f == zero) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1791 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1792 | return zero; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1793 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1794 | dk = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1795 | return dk * ln2_hi + dk * ln2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1796 | } [ 3933s] | ~ [ 3933s] 1797 | } [ 3933s] | ~ [ 3933s] 1798 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1799 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1800 | return f - R; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1801 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1802 | dk = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1803 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1804 | } [ 3933s] | ~ [ 3933s] 1805 | } [ 3933s] | ~ [ 3933s] 1806 | s = f / (2.0 + f); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1807 | dk = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1808 | z = s * s; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1809 | i = hx - 0x6147A; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1810 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1811 | j = 0x6B851 - hx; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1812 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1813 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1814 | i |= j; [ 3933s] | ~~~~~~~ [ 3933s] 1815 | R = t2 + t1; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1816 | if (i > 0) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1817 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1818 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1819 | return f - (hfsq - s * (hfsq + R)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1820 | else [ 3933s] | ~~~~ [ 3933s] 1821 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1822 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1823 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1824 | return f - s * (f - R); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1825 | else [ 3933s] | ~~~~ [ 3933s] 1826 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1827 | } [ 3933s] | ~ [ 3933s] 1828 | } [ 3933s] | ~ [ 3933s] 1829 | [ 3933s] | [ 3933s] 1830 | /* double log1p(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1831 | * [ 3933s] | ~ [ 3933s] 1832 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1833 | * 1. Argument Reduction: find k and f such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1834 | * 1+x = 2^k * (1+f), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1835 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1836 | * [ 3933s] | ~ [ 3933s] 1837 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1838 | * may not be representable exactly. In that case, a correction [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1839 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1840 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1841 | * and add back the correction term c/u. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1842 | * (Note: when x > 2**53, one can simply return log(x)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1843 | * [ 3933s] | ~ [ 3933s] 1844 | * 2. Approximation of log1p(f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1845 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1846 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1847 | * = 2s + s*R [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1848 | * We use a special Reme algorithm on [0,0.1716] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1849 | * a polynomial of degree 14 to approximate R The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1850 | * of this polynomial approximation is bounded by 2**-58.45. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1851 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1852 | * 2 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1853 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1854 | * (the values of Lp1 to Lp7 are listed in the program) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1855 | * and [ 3933s] | ~~~~~~ [ 3933s] 1856 | * | 2 14 | -58.45 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1857 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1858 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1859 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1860 | * In order to guarantee error in log below 1ulp, we compute log [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1861 | * by [ 3933s] | ~~~~~ [ 3933s] 1862 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1863 | * [ 3933s] | ~ [ 3933s] 1864 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1865 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1866 | * Here ln2 is split into two floating point number: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1867 | * ln2_hi + ln2_lo, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1868 | * where n*ln2_hi is always exact for |n| < 2000. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1869 | * [ 3933s] | ~ [ 3933s] 1870 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1871 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1872 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1873 | * log1p(NaN) is that NaN with no signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1874 | * [ 3933s] | ~ [ 3933s] 1875 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1876 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1877 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1878 | * [ 3933s] | ~ [ 3933s] 1879 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1880 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1881 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1882 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1883 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1884 | * [ 3933s] | ~ [ 3933s] 1885 | * Note: Assuming log() return accurate answer, the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1886 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1887 | * [ 3933s] | ~ [ 3933s] 1888 | * u = 1+x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1889 | * if(u==1.0) return x ; else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1890 | * return log(u)*(x/(u-1.0)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1891 | * [ 3933s] | ~ [ 3933s] 1892 | * See HP-15C Advanced Functions Handbook, p.193. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1893 | */ [ 3933s] | ~~ [ 3933s] 1894 | double log1p(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1895 | { [ 3933s] | ~ [ 3933s] 1896 | constexpr double /* -- */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1897 | ln2_hi [ 3933s] | ~~~~~~ [ 3933s] 1898 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1899 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1900 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1901 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1902 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1903 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1904 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1905 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1906 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1907 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1908 | [ 3933s] | [ 3933s] 1909 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1910 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1911 | [ 3933s] | [ 3933s] 1912 | double hfsq, f, c, s, z, R, u; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1913 | int32_t k, hx, hu, ax; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1914 | [ 3933s] | [ 3933s] 1915 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1916 | ax = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1917 | [ 3933s] | [ 3933s] 1918 | c = 0; [ 3933s] | ~~~~~~ [ 3933s] 1919 | k = 1; [ 3933s] | ~~~~~~ [ 3933s] 1920 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1921 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1922 | if (x == -1.0) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1923 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1924 | else [ 3933s] | ~~~~ [ 3933s] 1925 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1926 | } [ 3933s] | ~ [ 3933s] 1927 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1928 | if (two54 + x > zero /* raise inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1929 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1930 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 1931 | else [ 3933s] | ~~~~ [ 3933s] 1932 | return x - x * x * 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1933 | } [ 3933s] | ~ [ 3933s] 1934 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1935 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 1936 | f = x; [ 3933s] | ~~~~~~ [ 3933s] 1937 | hu = 1; [ 3933s] | ~~~~~~~ [ 3933s] 1938 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1939 | } [ 3933s] | ~ [ 3933s] 1940 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1941 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1942 | if (k != 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1943 | if (hx < 0x43400000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1944 | STRICT_ASSIGN(double, u, 1.0 + x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1945 | GET_HIGH_WORD(hu, u); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1946 | k = (hu >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1947 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1948 | c /= u; [ 3933s] | ~~~~~~~ [ 3933s] 1949 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1950 | u = x; [ 3933s] | ~~~~~~ [ 3933s] 1951 | GET_HIGH_WORD(hu, u); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1952 | k = (hu >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1953 | c = 0; [ 3933s] | ~~~~~~ [ 3933s] 1954 | } [ 3933s] | ~ [ 3933s] 1955 | hu &= 0x000FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1956 | /* [ 3933s] | ~~ [ 3933s] 1957 | * The approximation to sqrt(2) used in thresholds is not [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1958 | * critical. However, the ones used above must give less [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1959 | * strict bounds than the one here so that the k==0 case is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1960 | * never reached from here, since here we have committed to [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1961 | * using the correction term but don't use it if k==0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1962 | */ [ 3933s] | ~~ [ 3933s] 1963 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1964 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1965 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1966 | k += 1; [ 3933s] | ~~~~~~~ [ 3933s] 1967 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1968 | hu = (0x00100000 - hu) >> 2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1969 | } [ 3933s] | ~ [ 3933s] 1970 | f = u - 1.0; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1971 | } [ 3933s] | ~ [ 3933s] 1972 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1973 | if (hu == 0) { /* |f| < 2**-20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1974 | if (f == zero) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1975 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1976 | return zero; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1977 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1978 | c += k * ln2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1979 | return k * ln2_hi + c; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1980 | } [ 3933s] | ~ [ 3933s] 1981 | } [ 3933s] | ~ [ 3933s] 1982 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1983 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1984 | return f - R; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1985 | else [ 3933s] | ~~~~ [ 3933s] 1986 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1987 | } [ 3933s] | ~ [ 3933s] 1988 | s = f / (2.0 + f); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1989 | z = s * s; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1990 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1991 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1992 | return f - (hfsq - s * (hfsq + R)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1993 | else [ 3933s] | ~~~~ [ 3933s] 1994 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1995 | } [ 3933s] | ~ [ 3933s] 1996 | [ 3933s] | [ 3933s] 1997 | /* [ 3933s] | ~~ [ 3933s] 1998 | * k_log1p(f): [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1999 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2000 | * [ 3933s] | ~ [ 3933s] 2001 | * The following describes the overall strategy for computing [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2002 | * logarithms in base e. The argument reduction and adding the final [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2003 | * term of the polynomial are done by the caller for increased accuracy [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2004 | * when different bases are used. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2005 | * [ 3933s] | ~ [ 3933s] 2006 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2007 | * 1. Argument Reduction: find k and f such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2008 | * x = 2^k * (1+f), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2009 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2010 | * [ 3933s] | ~ [ 3933s] 2011 | * 2. Approximation of log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2012 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2013 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2014 | * = 2s + s*R [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2015 | * We use a special Reme algorithm on [0,0.1716] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2016 | * a polynomial of degree 14 to approximate R The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2017 | * of this polynomial approximation is bounded by 2**-58.45. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2018 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2019 | * 2 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2020 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2021 | * (the values of Lg1 to Lg7 are listed in the program) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2022 | * and [ 3933s] | ~~~~~~~~~~ [ 3933s] 2023 | * | 2 14 | -58.45 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2024 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2025 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2026 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2027 | * In order to guarantee error in log below 1ulp, we compute log [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2028 | * by [ 3933s] | ~~~~~~~~~ [ 3933s] 2029 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2030 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2031 | * [ 3933s] | ~ [ 3933s] 2032 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2033 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2034 | * Here ln2 is split into two floating point number: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2035 | * ln2_hi + ln2_lo, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2036 | * where n*ln2_hi is always exact for |n| < 2000. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2037 | * [ 3933s] | ~ [ 3933s] 2038 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2039 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2040 | * log(+INF) is +INF; log(0) is -INF with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2041 | * log(NaN) is that NaN with no signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2042 | * [ 3933s] | ~ [ 3933s] 2043 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2044 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2045 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2046 | * [ 3933s] | ~ [ 3933s] 2047 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2048 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2049 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2050 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2051 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2052 | */ [ 3933s] | ~~ [ 3933s] 2053 | [ 3933s] | [ 3933s] 2054 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2055 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2056 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2057 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2058 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2059 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2060 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2061 | [ 3933s] | [ 3933s] 2062 | /* [ 3933s] | ~~ [ 3933s] 2063 | * We always inline k_log1p(), since doing so produces a [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2064 | * substantial performance improvement (~40% on amd64). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2065 | */ [ 3933s] | ~~ [ 3933s] 2066 | static inline double k_log1p(double f) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2067 | { [ 3933s] | ~ [ 3933s] 2068 | double hfsq, s, z, R, w, t1, t2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2069 | [ 3933s] | [ 3933s] 2070 | s = f / (2.0 + f); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2071 | z = s * s; [ 3933s] | ~~~~~~~~~~ [ 3933s] 2072 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 2073 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2074 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2075 | R = t2 + t1; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2076 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2077 | return s * (hfsq + R); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2078 | } [ 3933s] | ~ [ 3933s] 2079 | [ 3933s] | [ 3933s] 2080 | /* [ 3933s] | ~~ [ 3933s] 2081 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2082 | * comments. [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2083 | * [ 3933s] | ~ [ 3933s] 2084 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2085 | * then does the combining and scaling steps [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2086 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2087 | * in not-quite-routine extra precision. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2088 | */ [ 3933s] | ~~ [ 3933s] 2089 | double log2(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2090 | { [ 3933s] | ~ [ 3933s] 2091 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2092 | two54 [ 3933s] | ~~~~~ [ 3933s] 2093 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2094 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2095 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2096 | [ 3933s] | [ 3933s] 2097 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2098 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2099 | [ 3933s] | [ 3933s] 2100 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2101 | int32_t i, k, hx; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2102 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2103 | [ 3933s] | [ 3933s] 2104 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2105 | [ 3933s] | [ 3933s] 2106 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 2107 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2108 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2109 | return -two54 / vzero; /* log(+-0)=-inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2110 | if (hx < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2111 | return (x - x) / zero; /* log(-#) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2112 | k -= 54; [ 3933s] | ~~~~~~~~ [ 3933s] 2113 | x *= two54; /* subnormal number, scale up x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2114 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2115 | } [ 3933s] | ~ [ 3933s] 2116 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2117 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2118 | if (hx == 0x3FF00000 && lx == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2119 | return zero; /* log(1) = +0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2120 | k += (hx >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2121 | hx &= 0x000FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2122 | i = (hx + 0x95F64) & 0x100000; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2123 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2124 | k += (i >> 20); [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2125 | y = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2126 | f = x - 1.0; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2127 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2128 | r = k_log1p(f); [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2129 | [ 3933s] | [ 3933s] 2130 | /* [ 3933s] | ~~ [ 3933s] 2131 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2132 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2133 | * This is fairly efficient since f-hfsq only depends on f, so can [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2134 | * be evaluated in parallel with R. Not combining hfsq with R also [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2135 | * keeps R small (though not as small as a true `lo' term would be), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2136 | * so that extra precision is not needed for terms involving R. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2137 | * [ 3933s] | ~ [ 3933s] 2138 | * Compiler bugs involving extra precision used to break Dekker's [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2139 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2140 | * or the multi-precision calculations were avoided when double_t [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2141 | * has extra precision. These problems are now automatically [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2142 | * avoided as a side effect of the optimization of combining the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2143 | * Dekker splitting step with the clear-low-bits step. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2144 | * [ 3933s] | ~ [ 3933s] 2145 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2146 | * precision to avoid a very large cancellation when x is very near [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2147 | * these values. Unlike the above cancellations, this problem is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2148 | * specific to base 2. It is strange that adding +-1 is so much [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2149 | * harder than adding +-ln2 or +-log10_2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2150 | * [ 3933s] | ~ [ 3933s] 2151 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2152 | * compiler bugs are back in some configurations, sigh. And I [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2153 | * don't want to used double_t to avoid them, since that gives a [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2154 | * pessimization and the support for avoiding the pessimization [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2155 | * is not yet available. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2156 | * [ 3933s] | ~ [ 3933s] 2157 | * The multi-precision calculations for the multiplications are [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2158 | * routine. [ 3933s] | ~~~~~~~~~~ [ 3933s] 2159 | */ [ 3933s] | ~~ [ 3933s] 2160 | hi = f - hfsq; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2161 | SET_LOW_WORD(hi, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2162 | lo = (f - hi) - hfsq + r; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2163 | val_hi = hi * ivln2hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2164 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2165 | [ 3933s] | [ 3933s] 2166 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2167 | w = y + val_hi; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2168 | val_lo += (y - w) + val_hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2169 | val_hi = w; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2170 | [ 3933s] | [ 3933s] 2171 | return val_lo + val_hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2172 | } [ 3933s] | ~ [ 3933s] 2173 | [ 3933s] | [ 3933s] 2174 | /* [ 3933s] | ~~ [ 3933s] 2175 | * Return the base 10 logarithm of x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2176 | * [ 3933s] | ~ [ 3933s] 2177 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2178 | * Let log10_2hi = leading 40 bits of log10(2) and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2179 | * log10_2lo = log10(2) - log10_2hi, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2180 | * ivln10 = 1/log(10) rounded. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2181 | * Then [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2182 | * n = ilogb(x), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2183 | * if(n<0) n = n+1; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2184 | * x = scalbn(x,-n); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2185 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2186 | * [ 3933s] | ~ [ 3933s] 2187 | * Note 1: [ 3933s] | ~~~~~~~~~~ [ 3933s] 2188 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2189 | * mode must set to Round-to-Nearest. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2190 | * Note 2: [ 3933s] | ~~~~~~~~~~ [ 3933s] 2191 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2192 | * log10 is monotonic at all binary break points. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2193 | * [ 3933s] | ~ [ 3933s] 2194 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2195 | * log10(x) is NaN if x < 0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2196 | * log10(+INF) is +INF; log10(0) is -INF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2197 | * log10(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2198 | * log10(10**N) = N for N=0,1,...,22. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2199 | */ [ 3933s] | ~~ [ 3933s] 2200 | double log10(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2201 | { [ 3933s] | ~ [ 3933s] 2202 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2203 | two54 [ 3933s] | ~~~~~ [ 3933s] 2204 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2205 | ivln10 = 4.34294481903251816668e-01, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2206 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2207 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2208 | [ 3933s] | [ 3933s] 2209 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2210 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2211 | [ 3933s] | [ 3933s] 2212 | double y; [ 3933s] | ~~~~~~~~~ [ 3933s] 2213 | int32_t i, k, hx; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2214 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2215 | [ 3933s] | [ 3933s] 2216 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2217 | [ 3933s] | [ 3933s] 2218 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 2219 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2220 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2221 | return -two54 / vzero; /* log(+-0)=-inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2222 | if (hx < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2223 | return (x - x) / zero; /* log(-#) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2224 | k -= 54; [ 3933s] | ~~~~~~~~ [ 3933s] 2225 | x *= two54; /* subnormal number, scale up x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2226 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2227 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2228 | } [ 3933s] | ~ [ 3933s] 2229 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2230 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2231 | if (hx == 0x3FF00000 && lx == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2232 | return zero; /* log(1) = +0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2233 | k += (hx >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2234 | [ 3933s] | [ 3933s] 2235 | i = (k & 0x80000000) >> 31; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2236 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2237 | y = k + i; [ 3933s] | ~~~~~~~~~~ [ 3933s] 2238 | SET_HIGH_WORD(x, hx); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2239 | SET_LOW_WORD(x, lx); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2240 | [ 3933s] | [ 3933s] 2241 | double z = y * log10_2lo + ivln10 * log(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2242 | return z + y * log10_2hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2243 | } [ 3933s] | ~ [ 3933s] 2244 | [ 3933s] | [ 3933s] 2245 | /* expm1(x) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2246 | * Returns exp(x)-1, the exponential of x minus 1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2247 | * [ 3933s] | ~ [ 3933s] 2248 | * Method [ 3933s] | ~~~~~~~~ [ 3933s] 2249 | * 1. Argument reduction: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2250 | * Given x, find r and integer k such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2251 | * [ 3933s] | ~ [ 3933s] 2252 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2253 | * [ 3933s] | ~ [ 3933s] 2254 | * Here a correction term c will be computed to compensate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2255 | * the error in r when rounded to a floating-point number. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2256 | * [ 3933s] | ~ [ 3933s] 2257 | * 2. Approximating expm1(r) by a special rational function on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2258 | * the interval [0,0.34658]: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2259 | * Since [ 3933s] | ~~~~~~~~ [ 3933s] 2260 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2261 | * we define R1(r*r) by [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2262 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2263 | * That is, [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2264 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2265 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2266 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2267 | * We use a special Reme algorithm on [0,0.347] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2268 | * a polynomial of degree 5 in r*r to approximate R1. The [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2269 | * maximum error of this polynomial approximation is bounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2270 | * by 2**-61. In other words, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2271 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2272 | * where Q1 = -1.6666666666666567384E-2, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2273 | * Q2 = 3.9682539681370365873E-4, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2274 | * Q3 = -9.9206344733435987357E-6, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2275 | * Q4 = 2.5051361420808517002E-7, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2276 | * Q5 = -6.2843505682382617102E-9; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2277 | * z = r*r, [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2278 | * with error bounded by [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2279 | * | 5 | -61 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2280 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2281 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2282 | * [ 3933s] | ~ [ 3933s] 2283 | * expm1(r) = exp(r)-1 is then computed by the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2284 | * specific way which minimize the accumulation rounding error: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2285 | * 2 3 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2286 | * r r [ 3 - (R1 + R1*r/2) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2287 | * expm1(r) = r + --- + --- * [--------------------] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2288 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2289 | * [ 3933s] | ~ [ 3933s] 2290 | * To compensate the error in the argument reduction, we use [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2291 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2292 | * ~ expm1(r) + c + r*c [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2293 | * Thus c+r*c will be added in as the correction terms for [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2294 | * expm1(r+c). Now rearrange the term to avoid optimization [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2295 | * screw up: [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2296 | * ( 2 2 ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2297 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2298 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2299 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2300 | * ( ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2301 | * [ 3933s] | ~ [ 3933s] 2302 | * = r - E [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2303 | * 3. Scale back to obtain expm1(x): [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2304 | * From step 1, we have [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2305 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2306 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2307 | * 4. Implementation notes: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2308 | * (A). To save one multiplication, we scale the coefficient Qi [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2309 | * to Qi*2^i, and replace z by (x^2)/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2310 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2311 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2312 | * (ii) if k=0, return r-E [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2313 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2314 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2315 | * else return 1.0+2.0*(r-E); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2316 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2317 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2318 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2319 | * [ 3933s] | ~ [ 3933s] 2320 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2321 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2322 | * expm1(-INF) is -1, and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2323 | * for finite argument, only expm1(0)=0 is exact. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2324 | * [ 3933s] | ~ [ 3933s] 2325 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2326 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2327 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2328 | * [ 3933s] | ~ [ 3933s] 2329 | * Misc. info. [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2330 | * For IEEE double [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2331 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2332 | * [ 3933s] | ~ [ 3933s] 2333 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2334 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2335 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2336 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2337 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2338 | */ [ 3933s] | ~~ [ 3933s] 2339 | double expm1(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2340 | { [ 3933s] | ~ [ 3933s] 2341 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2342 | one [ 3933s] | ~~~ [ 3933s] 2343 | = 1.0, [ 3933s] | ~~~~~~ [ 3933s] 2344 | tiny = 1.0e-300, [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2345 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2346 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2347 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2348 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2349 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2350 | x*x/2: */ [ 3933s] | ~~~~~~~~~ [ 3933s] 2351 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2352 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2353 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2354 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2355 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2356 | [ 3933s] | [ 3933s] 2357 | constexpr volatile double huge = 1.0e+300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2358 | [ 3933s] | [ 3933s] 2359 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2360 | int32_t k, xsb; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2361 | uint32_t hx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2362 | [ 3933s] | [ 3933s] 2363 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2364 | xsb = hx & 0x80000000; /* sign bit of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2365 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2366 | [ 3933s] | [ 3933s] 2367 | /* filter out huge and non-finite argument */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2368 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2369 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2370 | if (hx >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2371 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2372 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2373 | if (((hx & 0xFFFFF) | low) != 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2374 | return x + x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2375 | else [ 3933s] | ~~~~ [ 3933s] 2376 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2377 | } [ 3933s] | ~ [ 3933s] 2378 | if (x > o_threshold) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2379 | return huge * huge; /* overflow */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2380 | } [ 3933s] | ~ [ 3933s] 2381 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2382 | /* raise inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2383 | return tiny - one; /* return -1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2384 | } [ 3933s] | ~ [ 3933s] 2385 | } [ 3933s] | ~ [ 3933s] 2386 | [ 3933s] | [ 3933s] 2387 | /* argument reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2388 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2389 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2390 | if (xsb == 0) { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2391 | hi = x - ln2_hi; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2392 | lo = ln2_lo; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2393 | k = 1; [ 3933s] | ~~~~~~ [ 3933s] 2394 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2395 | hi = x + ln2_hi; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2396 | lo = -ln2_lo; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2397 | k = -1; [ 3933s] | ~~~~~~~ [ 3933s] 2398 | } [ 3933s] | ~ [ 3933s] 2399 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2400 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2401 | t = k; [ 3933s] | ~~~~~~ [ 3933s] 2402 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2403 | lo = t * ln2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2404 | } [ 3933s] | ~ [ 3933s] 2405 | STRICT_ASSIGN(double, x, hi - lo); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2406 | c = (hi - x) - lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2407 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2408 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2409 | return x - (t - (huge + x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2410 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2411 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 2412 | } [ 3933s] | ~ [ 3933s] 2413 | [ 3933s] | [ 3933s] 2414 | /* x is now in primary range */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2415 | hfx = 0.5 * x; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2416 | hxs = x * hfx; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2417 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2418 | t = 3.0 - r1 * hfx; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2419 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2420 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2421 | return x - (x * e - hxs); /* c is 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2422 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2423 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2424 | e = (x * (e - c) - c); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2425 | e -= hxs; [ 3933s] | ~~~~~~~~~ [ 3933s] 2426 | if (k == -1) [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2427 | return 0.5 * (x - e) - 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2428 | if (k == 1) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2429 | if (x < -0.25) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2430 | return -2.0 * (e - (x + 0.5)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2431 | else [ 3933s] | ~~~~ [ 3933s] 2432 | return one + 2.0 * (x - e); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2433 | } [ 3933s] | ~ [ 3933s] 2434 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2435 | y = one - (e - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2436 | // TODO(mvstanton): is this replacement for the hex float [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2437 | // sufficient? [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2438 | // if (k == 1024) y = y*2.0*0x1p1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2439 | if (k == 1024) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2440 | y = y * 2.0 * 8.98846567431158e+307; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2441 | else [ 3933s] | ~~~~ [ 3933s] 2442 | y = y * twopk; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2443 | return y - one; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2444 | } [ 3933s] | ~ [ 3933s] 2445 | t = one; [ 3933s] | ~~~~~~~~ [ 3933s] 2446 | if (k < 20) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2447 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2448 | y = t - (e - x); [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2449 | y = y * twopk; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2450 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2451 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2452 | y = x - (e + t); [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2453 | y += one; [ 3933s] | ~~~~~~~~~ [ 3933s] 2454 | y = y * twopk; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2455 | } [ 3933s] | ~ [ 3933s] 2456 | } [ 3933s] | ~ [ 3933s] 2457 | return y; [ 3933s] | ~~~~~~~~~ [ 3933s] 2458 | } [ 3933s] | ~ [ 3933s] 2459 | [ 3933s] | [ 3933s] 2460 | double cbrt(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2461 | { [ 3933s] | ~ [ 3933s] 2462 | constexpr uint32_t [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2463 | B1 [ 3933s] | ~~ [ 3933s] 2464 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2465 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2466 | [ 3933s] | [ 3933s] 2467 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2468 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2469 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2470 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2471 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2472 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2473 | [ 3933s] | [ 3933s] 2474 | int32_t hx; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2475 | union { [ 3933s] | ~~~~~~~ [ 3933s] 2476 | double value; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2477 | uint64_t bits; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2478 | } u; [ 3933s] | ~~~~ [ 3933s] 2479 | double r, s, t = 0.0, w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2480 | uint32_t sign; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2481 | uint32_t high, low; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2482 | [ 3933s] | [ 3933s] 2483 | EXTRACT_WORDS(hx, low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2484 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2485 | hx ^= sign; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2486 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2487 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2488 | [ 3933s] | [ 3933s] 2489 | /* [ 3933s] | ~~ [ 3933s] 2490 | * Rough cbrt to 5 bits: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2491 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2492 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2493 | * "%" are integer division and modulus with rounding towards minus [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2494 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2495 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2496 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2497 | * floating point representation, for finite positive normal values, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2498 | * ordinary integer division of the value in bits magically gives [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2499 | * almost exactly the RHS of the above provided we first subtract the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2500 | * exponent bias (1023 for doubles) and later add it back. We do the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2501 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2502 | * division rounds towards minus infinity; this is also efficient. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2503 | */ [ 3933s] | ~~ [ 3933s] 2504 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2505 | if ((hx | low) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2506 | return (x); /* cbrt(0) is itself */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2507 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2508 | t *= x; [ 3933s] | ~~~~~~~ [ 3933s] 2509 | GET_HIGH_WORD(high, t); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2510 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2511 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2512 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2513 | } [ 3933s] | ~ [ 3933s] 2514 | [ 3933s] | [ 3933s] 2515 | /* [ 3933s] | ~~ [ 3933s] 2516 | * New cbrt to 23 bits: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2517 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2518 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2519 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2520 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2521 | * gives us bounds for r = t**3/x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2522 | * [ 3933s] | ~ [ 3933s] 2523 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2524 | */ [ 3933s] | ~~ [ 3933s] 2525 | r = (t * t) * (t / x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2526 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2527 | [ 3933s] | [ 3933s] 2528 | /* [ 3933s] | ~~ [ 3933s] 2529 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2530 | * the result is larger in magnitude than cbrt(x) but not much more than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2531 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2532 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2533 | * in the rounded t, the infinite-precision error in the Newton [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2534 | * approximation barely affects third digit in the final error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2535 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2536 | * before the final error is larger than 0.667 ulps. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2537 | */ [ 3933s] | ~~ [ 3933s] 2538 | u.value = t; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2539 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2540 | t = u.value; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2541 | [ 3933s] | [ 3933s] 2542 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2543 | s = t * t; /* t*t is exact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2544 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2545 | w = t + t; /* t+t is exact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2546 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2547 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2548 | [ 3933s] | [ 3933s] 2549 | return (t); [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2550 | } [ 3933s] | ~ [ 3933s] 2551 | [ 3933s] | [ 3933s] 2552 | /* sin(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 2553 | * Return sine function of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2554 | * [ 3933s] | ~ [ 3933s] 2555 | * kernel function: [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2556 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2557 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2558 | * __ieee754_rem_pio2 ... argument reduction routine [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2559 | * [ 3933s] | ~ [ 3933s] 2560 | * Method. [ 3933s] | ~~~~~~~~~ [ 3933s] 2561 | * Let S,C and T denote the sin, cos and tan respectively on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2562 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2563 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2564 | * We have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2565 | * [ 3933s] | ~ [ 3933s] 2566 | * n sin(x) cos(x) tan(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2567 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2568 | * 0 S C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2569 | * 1 C -S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2570 | * 2 -S -C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2571 | * 3 -C S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2572 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2573 | * [ 3933s] | ~ [ 3933s] 2574 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2575 | * Let trig be any of sin, cos, or tan. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2576 | * trig(+-INF) is NaN, with signals; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2577 | * trig(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2578 | * [ 3933s] | ~ [ 3933s] 2579 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2580 | * TRIG(x) returns trig(x) nearly rounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2581 | */ [ 3933s] | ~~ [ 3933s] 2582 | double sin(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2583 | { [ 3933s] | ~ [ 3933s] 2584 | double y[2], z = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2585 | int32_t n, ix; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2586 | [ 3933s] | [ 3933s] 2587 | /* High word of x. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2588 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2589 | [ 3933s] | [ 3933s] 2590 | /* |x| ~< pi/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2591 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2592 | if (ix <= 0x3FE921FB) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2593 | return __kernel_sin(x, z, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2594 | } else if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2595 | /* sin(Inf or NaN) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2596 | return x - x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2597 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2598 | /* argument reduction needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2599 | n = __ieee754_rem_pio2(x, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2600 | switch (n & 3) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2601 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 2602 | return __kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2603 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 2604 | return __kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2605 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 2606 | return -__kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2607 | default: [ 3933s] | ~~~~~~~~ [ 3933s] 2608 | return -__kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2609 | } [ 3933s] | ~ [ 3933s] 2610 | } [ 3933s] | ~ [ 3933s] 2611 | } [ 3933s] | ~ [ 3933s] 2612 | [ 3933s] | [ 3933s] 2613 | /* tan(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 2614 | * Return tangent function of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2615 | * [ 3933s] | ~ [ 3933s] 2616 | * kernel function: [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2617 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2618 | * __ieee754_rem_pio2 ... argument reduction routine [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2619 | * [ 3933s] | ~ [ 3933s] 2620 | * Method. [ 3933s] | ~~~~~~~~~ [ 3933s] 2621 | * Let S,C and T denote the sin, cos and tan respectively on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2622 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2623 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2624 | * We have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2625 | * [ 3933s] | ~ [ 3933s] 2626 | * n sin(x) cos(x) tan(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2627 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2628 | * 0 S C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2629 | * 1 C -S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2630 | * 2 -S -C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2631 | * 3 -C S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2632 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2633 | * [ 3933s] | ~ [ 3933s] 2634 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2635 | * Let trig be any of sin, cos, or tan. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2636 | * trig(+-INF) is NaN, with signals; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2637 | * trig(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2638 | * [ 3933s] | ~ [ 3933s] 2639 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2640 | * TRIG(x) returns trig(x) nearly rounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2641 | */ [ 3933s] | ~~ [ 3933s] 2642 | double tan(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2643 | { [ 3933s] | ~ [ 3933s] 2644 | double y[2], z = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2645 | int32_t n, ix; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2646 | [ 3933s] | [ 3933s] 2647 | /* High word of x. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2648 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2649 | [ 3933s] | [ 3933s] 2650 | /* |x| ~< pi/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2651 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2652 | if (ix <= 0x3FE921FB) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2653 | return __kernel_tan(x, z, 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2654 | } else if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2655 | /* tan(Inf or NaN) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2656 | return x - x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2657 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2658 | /* argument reduction needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2659 | n = __ieee754_rem_pio2(x, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2660 | /* 1 -> n even, -1 -> n odd */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2661 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2662 | } [ 3933s] | ~ [ 3933s] 2663 | } [ 3933s] | ~ [ 3933s] 2664 | [ 3933s] | [ 3933s] 2665 | /* [ 3933s] | ~~ [ 3933s] 2666 | * ES6 draft 09-27-13, section 20.2.2.12. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2667 | * Math.cosh [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2668 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2669 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2670 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2671 | * 2. [ 3933s] | ~~~~~~~~~ [ 3933s] 2672 | * [ exp(x) - 1 ]^2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2673 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2674 | * 2*exp(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2675 | * [ 3933s] | ~ [ 3933s] 2676 | * exp(x) + 1/exp(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2677 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2678 | * 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2679 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2680 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2681 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2682 | * [ 3933s] | ~ [ 3933s] 2683 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2684 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2685 | * only cosh(0)=1 is exact for finite x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2686 | */ [ 3933s] | ~~ [ 3933s] 2687 | double cosh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2688 | { [ 3933s] | ~ [ 3933s] 2689 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2690 | constexpr double one = 1.0, half = 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2691 | constexpr volatile double huge = 1.0e+300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2692 | [ 3933s] | [ 3933s] 2693 | int32_t ix; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2694 | [ 3933s] | [ 3933s] 2695 | /* High word of |x|. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2696 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2697 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2698 | [ 3933s] | [ 3933s] 2699 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2700 | if (ix < 0x3FD62E43) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2701 | double t = expm1(fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2702 | double w = one + t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2703 | // For |x| < 2^-55, cosh(x) = 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2704 | if (ix < 0x3C800000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2705 | return w; [ 3933s] | ~~~~~~~~~ [ 3933s] 2706 | return one + (t * t) / (w + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2707 | } [ 3933s] | ~ [ 3933s] 2708 | [ 3933s] | [ 3933s] 2709 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2710 | if (ix < 0x40360000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2711 | double t = exp(fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2712 | return half * t + half / t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2713 | } [ 3933s] | ~ [ 3933s] 2714 | [ 3933s] | [ 3933s] 2715 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2716 | if (ix < 0x40862E42) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2717 | return half * exp(fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2718 | [ 3933s] | [ 3933s] 2719 | // |x| in [log(maxdouble), overflowthreshold] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2720 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2721 | double w = exp(half * fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2722 | double t = half * w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2723 | return t * w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2724 | } [ 3933s] | ~ [ 3933s] 2725 | [ 3933s] | [ 3933s] 2726 | /* x is INF or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2727 | if (ix >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2728 | return x * x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2729 | [ 3933s] | [ 3933s] 2730 | // |x| > overflowthreshold. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2731 | return huge * huge; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2732 | } [ 3933s] | ~ [ 3933s] 2733 | [ 3933s] | [ 3933s] 2734 | /* [ 3933s] | ~~ [ 3933s] 2735 | * ES6 draft 09-27-13, section 20.2.2.30. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2736 | * Math.sinh [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2737 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2738 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2739 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2740 | * 2. [ 3933s] | ~~~~~~~~~ [ 3933s] 2741 | * E + E/(E+1) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2742 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2743 | * 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2744 | * [ 3933s] | ~ [ 3933s] 2745 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2746 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2747 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2748 | * [ 3933s] | ~ [ 3933s] 2749 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2750 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2751 | * only sinh(0)=0 is exact for finite x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2752 | */ [ 3933s] | ~~ [ 3933s] 2753 | double sinh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2754 | { [ 3933s] | ~ [ 3933s] 2755 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2756 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2757 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2758 | constexpr double shuge = 1.0e307; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2759 | [ 3933s] | [ 3933s] 2760 | double h = (x < 0) ? -0.5 : 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2761 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2762 | double ax = fabs(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2763 | if (ax < 22) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2764 | // For |x| < 2^-28, sinh(x) = x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2765 | if (ax < TWO_M28) [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2766 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 2767 | double t = expm1(ax); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2768 | if (ax < 1) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2769 | return h * (2 * t - t * t / (t + 1)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2770 | } [ 3933s] | ~ [ 3933s] 2771 | return h * (t + t / (t + 1)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2772 | } [ 3933s] | ~ [ 3933s] 2773 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2774 | if (ax < LOG_MAXD) [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2775 | return h * exp(ax); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2776 | // |x| in [log(maxdouble), overflowthreshold] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2777 | // overflowthreshold = 710.4758600739426 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2778 | if (ax <= KSINH_OVERFLOW) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2779 | double w = exp(0.5 * ax); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2780 | double t = h * w; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2781 | return t * w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2782 | } [ 3933s] | ~ [ 3933s] 2783 | // |x| > overflowthreshold or is NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2784 | // Return Infinity of the appropriate sign or NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2785 | return x * shuge; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2786 | } [ 3933s] | ~ [ 3933s] 2787 | [ 3933s] | [ 3933s] 2788 | /* Tanh(x) [ 3933s] | ~~~~~~~~~~ [ 3933s] 2789 | * Return the Hyperbolic Tangent of x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2790 | * [ 3933s] | ~ [ 3933s] 2791 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2792 | * x -x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2793 | * e - e [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2794 | * 0. tanh(x) is defined to be ----------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2795 | * x -x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2796 | * e + e [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2797 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2798 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2799 | * -t [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2800 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2801 | * t + 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2802 | * 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2803 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2804 | * t + 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2805 | * 22 <= x <= INF : tanh(x) := 1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2806 | * [ 3933s] | ~ [ 3933s] 2807 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2808 | * tanh(NaN) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2809 | * only tanh(0)=0 is exact for finite argument. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2810 | */ [ 3933s] | ~~ [ 3933s] 2811 | double tanh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2812 | { [ 3933s] | ~ [ 3933s] 2813 | constexpr volatile double tiny = 1.0e-300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2814 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2815 | double t, z; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2816 | int32_t jx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2817 | [ 3933s] | [ 3933s] 2818 | GET_HIGH_WORD(jx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2819 | ix = jx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2820 | [ 3933s] | [ 3933s] 2821 | /* x is INF or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2822 | if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2823 | if (jx >= 0) [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2824 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2825 | else [ 3933s] | ~~~~ [ 3933s] 2826 | return one / x - one; /* tanh(NaN) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2827 | } [ 3933s] | ~ [ 3933s] 2828 | [ 3933s] | [ 3933s] 2829 | /* |x| < 22 */ [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2830 | if (ix < 0x40360000) { /* |x|<22 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2831 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2832 | return x; /* tanh(tiny) = tiny with inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2833 | } [ 3933s] | ~ [ 3933s] 2834 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2835 | t = expm1(two * fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2836 | z = one - two / (t + two); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2837 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2838 | t = expm1(-two * fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2839 | z = -t / (t + two); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2840 | } [ 3933s] | ~ [ 3933s] 2841 | /* |x| >= 22, return +-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2842 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2843 | z = one - tiny; /* raise inexact flag */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2844 | } [ 3933s] | ~ [ 3933s] 2845 | return (jx >= 0) ? z : -z; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2846 | } [ 3933s] | ~ [ 3933s] 2847 | [ 3933s] | [ 3933s] 2848 | double ceil(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2849 | { [ 3933s] | ~ [ 3933s] 2850 | constexpr double huge = 1.0e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2851 | int i0, i1, j0; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2852 | unsigned i, j; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2853 | i0 = __HI(x); [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2854 | i1 = __LO(x); [ 3933s] | ~~~~~~~~~~~ [ 3933s] third_party/escargot/src/runtime/IEEE754.cpp:2854:10: note: in expansion of macro '__LO' [ 3933s] 2854 | i1 = __LO(x); [ 3933s] | ^~~~ [ 3933s] third_party/escargot/src/runtime/IEEE754.cpp:86:18: warning: dereferencing type-punned pointer will break strict-aliasing rules [-Wstrict-aliasing] [ 3933s] 86 | #define __LO(x) *(int *)&x [ 3933s] | ^~~~~~~~~ [ 3933s] 87 | #define __HIp(x) *(1 + (int *)x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 88 | #define __LOp(x) *(int *)x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 89 | [ 3933s] | [ 3933s] 90 | #else [ 3933s] | ~~~~~ [ 3933s] 91 | [ 3933s] | [ 3933s] 92 | typedef union { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 93 | double value; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 94 | struct { [ 3933s] | ~~~~~~~~ [ 3933s] 95 | uint32_t msw; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 96 | uint32_t lsw; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 97 | } parts; [ 3933s] | ~~~~~~~~ [ 3933s] 98 | struct { [ 3933s] | ~~~~~~~~ [ 3933s] 99 | uint64_t w; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 100 | } xparts; [ 3933s] | ~~~~~~~~~ [ 3933s] 101 | } ieee_double_shape_type; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 102 | [ 3933s] | [ 3933s] 103 | #define __HI(x) *(int *)&x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 104 | #define __LO(x) *(1 + (int *)&x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 105 | #define __HIp(x) *(int *)x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 106 | #define __LOp(x) *(1 + (int *)x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 107 | [ 3933s] | [ 3933s] 108 | #endif [ 3933s] | ~~~~~~ [ 3933s] 109 | [ 3933s] | [ 3933s] 110 | /* Get two 32 bit ints from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 111 | [ 3933s] | [ 3933s] 112 | #define EXTRACT_WORDS(ix0, ix1, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 113 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 114 | ieee_double_shape_type ew_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 115 | ew_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 116 | (ix0) = ew_u.parts.msw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 117 | (ix1) = ew_u.parts.lsw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 118 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 119 | [ 3933s] | [ 3933s] 120 | /* Get a 64-bit int from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 121 | #define EXTRACT_WORD64(ix, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 122 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 123 | ieee_double_shape_type ew_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 124 | ew_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 125 | (ix) = ew_u.xparts.w; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 126 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 127 | [ 3933s] | [ 3933s] 128 | /* Get the more significant 32 bit int from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 129 | [ 3933s] | [ 3933s] 130 | #define GET_HIGH_WORD(i, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 131 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 132 | ieee_double_shape_type gh_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 133 | gh_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 134 | (i) = gh_u.parts.msw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 135 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 136 | [ 3933s] | [ 3933s] 137 | /* Get the less significant 32 bit int from a double. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 138 | [ 3933s] | [ 3933s] 139 | #define GET_LOW_WORD(i, d) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 140 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 141 | ieee_double_shape_type gl_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 142 | gl_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 143 | (i) = gl_u.parts.lsw; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 144 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 145 | [ 3933s] | [ 3933s] 146 | /* Set a double from two 32 bit ints. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 147 | [ 3933s] | [ 3933s] 148 | #define INSERT_WORDS(d, ix0, ix1) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 149 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 150 | ieee_double_shape_type iw_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 151 | iw_u.parts.msw = (ix0); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 152 | iw_u.parts.lsw = (ix1); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 153 | (d) = iw_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 154 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 155 | [ 3933s] | [ 3933s] 156 | /* Set a double from a 64-bit int. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 157 | #define INSERT_WORD64(d, ix) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 158 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 159 | ieee_double_shape_type iw_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 160 | iw_u.xparts.w = (ix); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 161 | (d) = iw_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 162 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 163 | [ 3933s] | [ 3933s] 164 | /* Set the more significant 32 bits of a double from an int. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 165 | [ 3933s] | [ 3933s] 166 | #define SET_HIGH_WORD(d, v) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 167 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 168 | ieee_double_shape_type sh_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 169 | sh_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 170 | sh_u.parts.msw = (v); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 171 | (d) = sh_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 172 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 173 | [ 3933s] | [ 3933s] 174 | /* Set the less significant 32 bits of a double from an int. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 175 | [ 3933s] | [ 3933s] 176 | #define SET_LOW_WORD(d, v) \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 177 | do { \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 178 | ieee_double_shape_type sl_u; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 179 | sl_u.value = (d); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 180 | sl_u.parts.lsw = (v); \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 181 | (d) = sl_u.value; \ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 182 | } while (0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 183 | [ 3933s] | [ 3933s] 184 | /* Support macro. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 185 | [ 3933s] | [ 3933s] 186 | #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 187 | [ 3933s] | [ 3933s] 188 | int32_t __ieee754_rem_pio2(double x, double *y) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 189 | double __kernel_cos(double x, double y) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 190 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 191 | const int32_t *ipio2) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 192 | double __kernel_sin(double x, double y, int iy) WARN_UNUSED_RETURN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 193 | [ 3933s] | [ 3933s] 194 | /* __ieee754_rem_pio2(x,y) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 195 | * [ 3933s] | ~ [ 3933s] 196 | * return the remainder of x rem pi/2 in y[0]+y[1] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 197 | * use __kernel_rem_pio2() [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 198 | */ [ 3933s] | ~~ [ 3933s] 199 | int32_t __ieee754_rem_pio2(double x, double *y) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 200 | { [ 3933s] | ~ [ 3933s] 201 | /* [ 3933s] | ~~ [ 3933s] 202 | * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 203 | */ [ 3933s] | ~~ [ 3933s] 204 | constexpr int32_t two_over_pi[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 205 | 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, 0x95993C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 206 | 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, 0x424DD2, 0xE00649, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 207 | 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, 0xA73EE8, 0x8235F5, 0x2EBB44, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 208 | 0x84E99C, 0x7026B4, 0x5F7E41, 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 209 | 0xBDF928, 0x3B1FF8, 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 210 | 0x367ECF, 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 211 | 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, 0x560330, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 212 | 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, 0x91615E, 0xE61B08, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 213 | 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, 0x4D7327, 0x310606, 0x1556CA, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 214 | 0x73A8C9, 0x60E27B, 0xC08C6B, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 215 | }; [ 3933s] | ~~ [ 3933s] 216 | [ 3933s] | [ 3933s] 217 | constexpr int32_t npio2_hw[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 218 | 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 219 | 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 220 | 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 221 | 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 222 | 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 223 | 0x404858EB, 0x404921FB, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 224 | }; [ 3933s] | ~~ [ 3933s] 225 | [ 3933s] | [ 3933s] 226 | /* [ 3933s] | ~~ [ 3933s] 227 | * invpio2: 53 bits of 2/pi [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 228 | * pio2_1: first 33 bit of pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 229 | * pio2_1t: pi/2 - pio2_1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 230 | * pio2_2: second 33 bit of pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 231 | * pio2_2t: pi/2 - (pio2_1+pio2_2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 232 | * pio2_3: third 33 bit of pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 233 | * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 234 | */ [ 3933s] | ~~ [ 3933s] 235 | [ 3933s] | [ 3933s] 236 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 237 | zero [ 3933s] | ~~~~ [ 3933s] 238 | = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 239 | half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 240 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 241 | invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 242 | pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 243 | pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 244 | pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 245 | pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 246 | pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 247 | pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 248 | [ 3933s] | [ 3933s] 249 | double z, w, t, r, fn; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 250 | double tx[3]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 251 | int32_t e0, i, j, nx, n, ix, hx; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 252 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 253 | [ 3933s] | [ 3933s] 254 | z = 0; [ 3933s] | ~~~~~~ [ 3933s] 255 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 256 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 257 | if (ix <= 0x3FE921FB) { /* |x| ~<= pi/4 , no need for reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 258 | y[0] = x; [ 3933s] | ~~~~~~~~~ [ 3933s] 259 | y[1] = 0; [ 3933s] | ~~~~~~~~~ [ 3933s] 260 | return 0; [ 3933s] | ~~~~~~~~~ [ 3933s] 261 | } [ 3933s] | ~ [ 3933s] 262 | if (ix < 0x4002D97C) { /* |x| < 3pi/4, special case with n=+-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 263 | if (hx > 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 264 | z = x - pio2_1; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 265 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 266 | y[0] = z - pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 267 | y[1] = (z - y[0]) - pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 268 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 269 | z -= pio2_2; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 270 | y[0] = z - pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 271 | y[1] = (z - y[0]) - pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 272 | } [ 3933s] | ~ [ 3933s] 273 | return 1; [ 3933s] | ~~~~~~~~~ [ 3933s] 274 | } else { /* negative x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 275 | z = x + pio2_1; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 276 | if (ix != 0x3FF921FB) { /* 33+53 bit pi is good enough */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 277 | y[0] = z + pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 278 | y[1] = (z - y[0]) + pio2_1t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 279 | } else { /* near pi/2, use 33+33+53 bit pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 280 | z += pio2_2; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 281 | y[0] = z + pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 282 | y[1] = (z - y[0]) + pio2_2t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 283 | } [ 3933s] | ~ [ 3933s] 284 | return -1; [ 3933s] | ~~~~~~~~~~ [ 3933s] 285 | } [ 3933s] | ~ [ 3933s] 286 | } [ 3933s] | ~ [ 3933s] 287 | if (ix <= 0x413921FB) { /* |x| ~<= 2^19*(pi/2), medium size */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 288 | t = fabs(x); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 289 | n = static_cast(t * invpio2 + half); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 290 | fn = static_cast(n); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 291 | r = t - fn * pio2_1; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 292 | w = fn * pio2_1t; /* 1st round good to 85 bit */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 293 | if (n < 32 && ix != npio2_hw[n - 1]) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 294 | y[0] = r - w; /* quick check no cancellation */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 295 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 296 | uint32_t high; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 297 | j = ix >> 20; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 298 | y[0] = r - w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 299 | GET_HIGH_WORD(high, y[0]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 300 | i = j - ((high >> 20) & 0x7FF); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 301 | if (i > 16) { /* 2nd iteration needed, good to 118 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 302 | t = r; [ 3933s] | ~~~~~~ [ 3933s] 303 | w = fn * pio2_2; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 304 | r = t - w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 305 | w = fn * pio2_2t - ((t - r) - w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 306 | y[0] = r - w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 307 | GET_HIGH_WORD(high, y[0]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 308 | i = j - ((high >> 20) & 0x7FF); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 309 | if (i > 49) { /* 3rd iteration need, 151 bits acc */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 310 | t = r; /* will cover all possible cases */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 311 | w = fn * pio2_3; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 312 | r = t - w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 313 | w = fn * pio2_3t - ((t - r) - w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 314 | y[0] = r - w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 315 | } [ 3933s] | ~ [ 3933s] 316 | } [ 3933s] | ~ [ 3933s] 317 | } [ 3933s] | ~ [ 3933s] 318 | y[1] = (r - y[0]) - w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 319 | if (hx < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 320 | y[0] = -y[0]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 321 | y[1] = -y[1]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 322 | return -n; [ 3933s] | ~~~~~~~~~~ [ 3933s] 323 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 324 | return n; [ 3933s] | ~~~~~~~~~ [ 3933s] 325 | } [ 3933s] | ~ [ 3933s] 326 | } [ 3933s] | ~ [ 3933s] 327 | /* [ 3933s] | ~~ [ 3933s] 328 | * all other (large) arguments [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 329 | */ [ 3933s] | ~~ [ 3933s] 330 | if (ix >= 0x7FF00000) { /* x is inf or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 331 | y[0] = y[1] = x - x; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 332 | return 0; [ 3933s] | ~~~~~~~~~ [ 3933s] 333 | } [ 3933s] | ~ [ 3933s] 334 | /* set z = scalbn(|x|,ilogb(x)-23) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 335 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 336 | SET_LOW_WORD(z, low); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 337 | e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 338 | SET_HIGH_WORD(z, ix - static_cast(e0 << 20)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 339 | for (i = 0; i < 2; i++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 340 | tx[i] = static_cast(static_cast(z)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 341 | z = (z - tx[i]) * two24; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 342 | } [ 3933s] | ~ [ 3933s] 343 | tx[2] = z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 344 | nx = 3; [ 3933s] | ~~~~~~~ [ 3933s] 345 | while (tx[nx - 1] == zero) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 346 | nx--; /* skip zero term */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 347 | n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 348 | if (hx < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 349 | y[0] = -y[0]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 350 | y[1] = -y[1]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 351 | return -n; [ 3933s] | ~~~~~~~~~~ [ 3933s] 352 | } [ 3933s] | ~ [ 3933s] 353 | return n; [ 3933s] | ~~~~~~~~~ [ 3933s] 354 | } [ 3933s] | ~ [ 3933s] 355 | [ 3933s] | [ 3933s] 356 | /* __kernel_cos( x, y ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 357 | * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 358 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 359 | * Input y is the tail of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 360 | * [ 3933s] | ~ [ 3933s] 361 | * Algorithm [ 3933s] | ~~~~~~~~~~~ [ 3933s] 362 | * 1. Since cos(-x) = cos(x), we need only to consider positive x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 363 | * 2. if x < 2^-27 (hx<0x3E400000 0), return 1 with inexact if x!=0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 364 | * 3. cos(x) is approximated by a polynomial of degree 14 on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 365 | * [0,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 366 | * 4 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 367 | * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 368 | * where the remez error is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 369 | * [ 3933s] | ~ [ 3933s] 370 | * | 2 4 6 8 10 12 14 | -58 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 371 | * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 372 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 373 | * [ 3933s] | ~ [ 3933s] 374 | * 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 375 | * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 376 | * cos(x) = 1 - x*x/2 + r [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 377 | * since cos(x+y) ~ cos(x) - sin(x)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 378 | * ~ cos(x) - x*y, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 379 | * a correction term is necessary in cos(x) and hence [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 380 | * cos(x+y) = 1 - (x*x/2 - (r - x*y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 381 | * For better accuracy when x > 0.3, let qx = |x|/4 with [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 382 | * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 383 | * Then [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 384 | * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 385 | * Note that 1-qx and (x*x/2-qx) is EXACT here, and the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 386 | * magnitude of the latter is at least a quarter of x*x/2, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 387 | * thus, reducing the rounding error in the subtraction. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 388 | */ [ 3933s] | ~~ [ 3933s] 389 | ALWAYS_INLINE double __kernel_cos(double x, double y) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 390 | { [ 3933s] | ~ [ 3933s] 391 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 392 | one [ 3933s] | ~~~ [ 3933s] 393 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 394 | C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 395 | C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 396 | C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 397 | C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 398 | C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 399 | C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 400 | [ 3933s] | [ 3933s] 401 | double a, iz, z, r, qx; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 402 | int32_t ix; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 403 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 404 | ix &= 0x7FFFFFFF; /* ix = |x|'s high word*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 405 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* if x < 2**27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 406 | return one; /* generate inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 407 | } [ 3933s] | ~ [ 3933s] 408 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 409 | r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 410 | if (ix < 0x3FD33333) { /* if |x| < 0.3 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 411 | return one - (0.5 * z - (z * r - x * y)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 412 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 413 | if (ix > 0x3FE90000) { /* x > 0.78125 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 414 | qx = 0.28125; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 415 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 416 | INSERT_WORDS(qx, ix - 0x00200000, 0); /* x/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 417 | } [ 3933s] | ~ [ 3933s] 418 | iz = 0.5 * z - qx; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 419 | a = one - qx; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 420 | return a - (iz - (z * r - x * y)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 421 | } [ 3933s] | ~ [ 3933s] 422 | } [ 3933s] | ~ [ 3933s] 423 | [ 3933s] | [ 3933s] 424 | /* __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 425 | * double x[],y[]; int e0,nx,prec; int ipio2[]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 426 | * [ 3933s] | ~ [ 3933s] 427 | * __kernel_rem_pio2 return the last three digits of N with [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 428 | * y = x - N*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 429 | * so that |y| < pi/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 430 | * [ 3933s] | ~ [ 3933s] 431 | * The method is to compute the integer (mod 8) and fraction parts of [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 432 | * (2/pi)*x without doing the full multiplication. In general we [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 433 | * skip the part of the product that are known to be a huge integer ( [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 434 | * more accurately, = 0 mod 8 ). Thus the number of operations are [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 435 | * independent of the exponent of the input. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 436 | * [ 3933s] | ~ [ 3933s] 437 | * (2/pi) is represented by an array of 24-bit integers in ipio2[]. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 438 | * [ 3933s] | ~ [ 3933s] 439 | * Input parameters: [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 440 | * x[] The input value (must be positive) is broken into nx [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 441 | * pieces of 24-bit integers in double precision format. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 442 | * x[i] will be the i-th 24 bit of x. The scaled exponent [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 443 | * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 444 | * match x's up to 24 bits. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 445 | * [ 3933s] | ~ [ 3933s] 446 | * Example of breaking a double positive z into x[0]+x[1]+x[2]: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 447 | * e0 = ilogb(z)-23 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 448 | * z = scalbn(z,-e0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 449 | * for i = 0,1,2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 450 | * x[i] = floor(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 451 | * z = (z-x[i])*2**24 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 452 | * [ 3933s] | ~ [ 3933s] 453 | * [ 3933s] | ~ [ 3933s] 454 | * y[] output result in an array of double precision numbers. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 455 | * The dimension of y[] is: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 456 | * 24-bit precision 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 457 | * 53-bit precision 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 458 | * 64-bit precision 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 459 | * 113-bit precision 3 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 460 | * The actual value is the sum of them. Thus for 113-bit [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 461 | * precison, one may have to do something like: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 462 | * [ 3933s] | ~ [ 3933s] 463 | * long double t,w,r_head, r_tail; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 464 | * t = (long double)y[2] + (long double)y[1]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 465 | * w = (long double)y[0]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 466 | * r_head = t+w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 467 | * r_tail = w - (r_head - t); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 468 | * [ 3933s] | ~ [ 3933s] 469 | * e0 The exponent of x[0] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 470 | * [ 3933s] | ~ [ 3933s] 471 | * nx dimension of x[] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 472 | * [ 3933s] | ~ [ 3933s] 473 | * prec an integer indicating the precision: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 474 | * 0 24 bits (single) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 475 | * 1 53 bits (double) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 476 | * 2 64 bits (extended) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 477 | * 3 113 bits (quad) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 478 | * [ 3933s] | ~ [ 3933s] 479 | * ipio2[] [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 480 | * integer array, contains the (24*i)-th to (24*i+23)-th [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 481 | * bit of 2/pi after binary point. The corresponding [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 482 | * floating value is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 483 | * [ 3933s] | ~ [ 3933s] 484 | * ipio2[i] * 2^(-24(i+1)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 485 | * [ 3933s] | ~ [ 3933s] 486 | * External function: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 487 | * double scalbn(), floor(); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 488 | * [ 3933s] | ~ [ 3933s] 489 | * [ 3933s] | ~ [ 3933s] 490 | * Here is the description of some local variables: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 491 | * [ 3933s] | ~ [ 3933s] 492 | * jk jk+1 is the initial number of terms of ipio2[] needed [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 493 | * in the computation. The recommended value is 2,3,4, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 494 | * 6 for single, double, extended,and quad. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 495 | * [ 3933s] | ~ [ 3933s] 496 | * jz local integer variable indicating the number of [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 497 | * terms of ipio2[] used. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 498 | * [ 3933s] | ~ [ 3933s] 499 | * jx nx - 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 500 | * [ 3933s] | ~ [ 3933s] 501 | * jv index for pointing to the suitable ipio2[] for the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 502 | * computation. In general, we want [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 503 | * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 504 | * is an integer. Thus [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 505 | * e0-3-24*jv >= 0 or (e0-3)/24 >= jv [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 506 | * Hence jv = max(0,(e0-3)/24). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 507 | * [ 3933s] | ~ [ 3933s] 508 | * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 509 | * [ 3933s] | ~ [ 3933s] 510 | * q[] double array with integral value, representing the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 511 | * 24-bits chunk of the product of x and 2/pi. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 512 | * [ 3933s] | ~ [ 3933s] 513 | * q0 the corresponding exponent of q[0]. Note that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 514 | * exponent for q[i] would be q0-24*i. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 515 | * [ 3933s] | ~ [ 3933s] 516 | * PIo2[] double precision array, obtained by cutting pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 517 | * into 24 bits chunks. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 518 | * [ 3933s] | ~ [ 3933s] 519 | * f[] ipio2[] in floating point [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 520 | * [ 3933s] | ~ [ 3933s] 521 | * iq[] integer array by breaking up q[] in 24-bits chunk. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 522 | * [ 3933s] | ~ [ 3933s] 523 | * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 524 | * [ 3933s] | ~ [ 3933s] 525 | * ih integer. If >0 it indicates q[] is >= 0.5, hence [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 526 | * it also indicates the *sign* of the result. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 527 | * [ 3933s] | ~ [ 3933s] 528 | */ [ 3933s] | ~~ [ 3933s] 529 | int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 530 | const int32_t *ipio2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 531 | { [ 3933s] | ~ [ 3933s] 532 | /* Constants: [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 533 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 534 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 535 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 536 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 537 | */ [ 3933s] | ~~ [ 3933s] 538 | constexpr int init_jk[] = { 2, 3, 4, 6 }; /* initial value for jk */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 539 | [ 3933s] | [ 3933s] 540 | constexpr double PIo2[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 541 | 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 542 | 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 543 | 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 544 | 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 545 | 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 546 | 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 547 | 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 548 | 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 549 | }; [ 3933s] | ~~ [ 3933s] 550 | [ 3933s] | [ 3933s] 551 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 552 | zero [ 3933s] | ~~~~ [ 3933s] 553 | = 0.0, [ 3933s] | ~~~~~~ [ 3933s] 554 | one = 1.0, [ 3933s] | ~~~~~~~~~~ [ 3933s] 555 | two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 556 | twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 557 | [ 3933s] | [ 3933s] 558 | int32_t jz, jx, jv, jp, jk, carry, n, iq[20], i, j, k, m, q0, ih; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 559 | double z, fw, f[20], fq[20], q[20]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 560 | [ 3933s] | [ 3933s] 561 | /* initialize jk*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 562 | jk = init_jk[prec]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 563 | jp = jk; [ 3933s] | ~~~~~~~~ [ 3933s] 564 | [ 3933s] | [ 3933s] 565 | /* determine jx,jv,q0, note that 3>q0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 566 | jx = nx - 1; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 567 | jv = (e0 - 3) / 24; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 568 | if (jv < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 569 | jv = 0; [ 3933s] | ~~~~~~~ [ 3933s] 570 | q0 = e0 - 24 * (jv + 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 571 | [ 3933s] | [ 3933s] 572 | /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 573 | j = jv - jx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 574 | m = jx + jk; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 575 | for (i = 0; i <= m; i++, j++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 576 | f[i] = (j < 0) ? zero : static_cast(ipio2[j]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 577 | } [ 3933s] | ~ [ 3933s] 578 | [ 3933s] | [ 3933s] 579 | /* compute q[0],q[1],...q[jk] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 580 | for (i = 0; i <= jk; i++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 581 | for (j = 0, fw = 0.0; j <= jx; j++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 582 | fw += x[j] * f[jx + i - j]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 583 | q[i] = fw; [ 3933s] | ~~~~~~~~~~ [ 3933s] 584 | } [ 3933s] | ~ [ 3933s] 585 | [ 3933s] | [ 3933s] 586 | jz = jk; [ 3933s] | ~~~~~~~~ [ 3933s] 587 | recompute: [ 3933s] | ~~~~~~~~~~ [ 3933s] 588 | /* distill q[] into iq[] reversingly */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 589 | for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 590 | fw = static_cast(static_cast(twon24 * z)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 591 | iq[i] = static_cast(z - two24 * fw); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 592 | z = q[j - 1] + fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 593 | } [ 3933s] | ~ [ 3933s] 594 | [ 3933s] | [ 3933s] 595 | /* compute n */ [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 596 | z = scalbn(z, q0); /* actual value of z */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 597 | z -= 8.0 * floor(z * 0.125); /* trim off integer >= 8 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 598 | n = static_cast(z); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 599 | z -= static_cast(n); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 600 | ih = 0; [ 3933s] | ~~~~~~~ [ 3933s] 601 | if (q0 > 0) { /* need iq[jz-1] to determine n */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 602 | i = (iq[jz - 1] >> (24 - q0)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 603 | n += i; [ 3933s] | ~~~~~~~ [ 3933s] 604 | iq[jz - 1] -= i << (24 - q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 605 | ih = iq[jz - 1] >> (23 - q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 606 | } else if (q0 == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 607 | ih = iq[jz - 1] >> 23; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 608 | } else if (z >= 0.5) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 609 | ih = 2; [ 3933s] | ~~~~~~~ [ 3933s] 610 | } [ 3933s] | ~ [ 3933s] 611 | [ 3933s] | [ 3933s] 612 | if (ih > 0) { /* q > 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 613 | n += 1; [ 3933s] | ~~~~~~~ [ 3933s] 614 | carry = 0; [ 3933s] | ~~~~~~~~~~ [ 3933s] 615 | for (i = 0; i < jz; i++) { /* compute 1-q */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 616 | j = iq[i]; [ 3933s] | ~~~~~~~~~~ [ 3933s] 617 | if (carry == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 618 | if (j != 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 619 | carry = 1; [ 3933s] | ~~~~~~~~~~ [ 3933s] 620 | iq[i] = 0x1000000 - j; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 621 | } [ 3933s] | ~ [ 3933s] 622 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 623 | iq[i] = 0xFFFFFF - j; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 624 | } [ 3933s] | ~ [ 3933s] 625 | } [ 3933s] | ~ [ 3933s] 626 | if (q0 > 0) { /* rare case: chance is 1 in 12 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 627 | switch (q0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 628 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 629 | iq[jz - 1] &= 0x7FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 630 | break; [ 3933s] | ~~~~~~ [ 3933s] 631 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 632 | iq[jz - 1] &= 0x3FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 633 | break; [ 3933s] | ~~~~~~ [ 3933s] 634 | } [ 3933s] | ~ [ 3933s] 635 | } [ 3933s] | ~ [ 3933s] 636 | if (ih == 2) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 637 | z = one - z; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 638 | if (carry != 0) [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 639 | z -= scalbn(one, q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 640 | } [ 3933s] | ~ [ 3933s] 641 | } [ 3933s] | ~ [ 3933s] 642 | [ 3933s] | [ 3933s] 643 | /* check if recomputation is needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 644 | if (z == zero) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 645 | j = 0; [ 3933s] | ~~~~~~ [ 3933s] 646 | for (i = jz - 1; i >= jk; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 647 | j |= iq[i]; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 648 | if (j == 0) { /* need recomputation */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 649 | for (k = 1; jk >= k && iq[jk - k] == 0; k++) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 650 | /* k = no. of terms needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 651 | } [ 3933s] | ~ [ 3933s] 652 | [ 3933s] | [ 3933s] 653 | for (i = jz + 1; i <= jz + k; i++) { /* add q[jz+1] to q[jz+k] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 654 | f[jx + i] = ipio2[jv + i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 655 | for (j = 0, fw = 0.0; j <= jx; j++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 656 | fw += x[j] * f[jx + i - j]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 657 | q[i] = fw; [ 3933s] | ~~~~~~~~~~ [ 3933s] 658 | } [ 3933s] | ~ [ 3933s] 659 | jz += k; [ 3933s] | ~~~~~~~~ [ 3933s] 660 | goto recompute; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 661 | } [ 3933s] | ~ [ 3933s] 662 | } [ 3933s] | ~ [ 3933s] 663 | [ 3933s] | [ 3933s] 664 | /* chop off zero terms */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 665 | if (z == 0.0) { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 666 | jz -= 1; [ 3933s] | ~~~~~~~~ [ 3933s] 667 | q0 -= 24; [ 3933s] | ~~~~~~~~~ [ 3933s] 668 | while (iq[jz] == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 669 | jz--; [ 3933s] | ~~~~~ [ 3933s] 670 | q0 -= 24; [ 3933s] | ~~~~~~~~~ [ 3933s] 671 | } [ 3933s] | ~ [ 3933s] 672 | } else { /* break z into 24-bit if necessary */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 673 | z = scalbn(z, -q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 674 | if (z >= two24) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 675 | fw = static_cast(static_cast(twon24 * z)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 676 | iq[jz] = z - two24 * fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 677 | jz += 1; [ 3933s] | ~~~~~~~~ [ 3933s] 678 | q0 += 24; [ 3933s] | ~~~~~~~~~ [ 3933s] 679 | iq[jz] = fw; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 680 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 681 | iq[jz] = z; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 682 | } [ 3933s] | ~ [ 3933s] 683 | } [ 3933s] | ~ [ 3933s] 684 | [ 3933s] | [ 3933s] 685 | /* convert integer "bit" chunk to floating-point value */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 686 | fw = scalbn(one, q0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 687 | for (i = jz; i >= 0; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 688 | q[i] = fw * iq[i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 689 | fw *= twon24; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 690 | } [ 3933s] | ~ [ 3933s] 691 | [ 3933s] | [ 3933s] 692 | /* compute PIo2[0,...,jp]*q[jz,...,0] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 693 | for (i = jz; i >= 0; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 694 | for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 695 | fw += PIo2[k] * q[i + k]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 696 | fq[jz - i] = fw; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 697 | } [ 3933s] | ~ [ 3933s] 698 | [ 3933s] | [ 3933s] 699 | /* compress fq[] into y[] */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 700 | switch (prec) { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 701 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 702 | fw = 0.0; [ 3933s] | ~~~~~~~~~ [ 3933s] 703 | for (i = jz; i >= 0; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 704 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 705 | y[0] = (ih == 0) ? fw : -fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 706 | break; [ 3933s] | ~~~~~~ [ 3933s] 707 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 708 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 709 | fw = 0.0; [ 3933s] | ~~~~~~~~~ [ 3933s] 710 | for (i = jz; i >= 0; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 711 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 712 | y[0] = (ih == 0) ? fw : -fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 713 | fw = fq[0] - fw; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 714 | for (i = 1; i <= jz; i++) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 715 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 716 | y[1] = (ih == 0) ? fw : -fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 717 | break; [ 3933s] | ~~~~~~ [ 3933s] 718 | case 3: /* painful */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 719 | for (i = jz; i > 0; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 720 | fw = fq[i - 1] + fq[i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 721 | fq[i] += fq[i - 1] - fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 722 | fq[i - 1] = fw; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 723 | } [ 3933s] | ~ [ 3933s] 724 | for (i = jz; i > 1; i--) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 725 | fw = fq[i - 1] + fq[i]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 726 | fq[i] += fq[i - 1] - fw; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 727 | fq[i - 1] = fw; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 728 | } [ 3933s] | ~ [ 3933s] 729 | for (fw = 0.0, i = jz; i >= 2; i--) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 730 | fw += fq[i]; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 731 | if (ih == 0) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 732 | y[0] = fq[0]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 733 | y[1] = fq[1]; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 734 | y[2] = fw; [ 3933s] | ~~~~~~~~~~ [ 3933s] 735 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 736 | y[0] = -fq[0]; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 737 | y[1] = -fq[1]; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 738 | y[2] = -fw; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 739 | } [ 3933s] | ~ [ 3933s] 740 | } [ 3933s] | ~ [ 3933s] 741 | return n & 7; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 742 | } [ 3933s] | ~ [ 3933s] 743 | [ 3933s] | [ 3933s] 744 | /* __kernel_sin( x, y, iy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 745 | * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 746 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 747 | * Input y is the tail of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 748 | * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 749 | * [ 3933s] | ~ [ 3933s] 750 | * Algorithm [ 3933s] | ~~~~~~~~~~~ [ 3933s] 751 | * 1. Since sin(-x) = -sin(x), we need only to consider positive x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 752 | * 2. if x < 2^-27 (hx<0x3E400000 0), return x with inexact if x!=0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 753 | * 3. sin(x) is approximated by a polynomial of degree 13 on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 754 | * [0,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 755 | * 3 13 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 756 | * sin(x) ~ x + S1*x + ... + S6*x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 757 | * where [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 758 | * [ 3933s] | ~ [ 3933s] 759 | * |sin(x) 2 4 6 8 10 12 | -58 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 760 | * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 761 | * | x | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 762 | * [ 3933s] | ~ [ 3933s] 763 | * 4. sin(x+y) = sin(x) + sin'(x')*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 764 | * ~ sin(x) + (1-x*x/2)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 765 | * For better accuracy, let [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 766 | * 3 2 2 2 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 767 | * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 768 | * then 3 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 769 | * sin(x) = x + (S1*x + (x *(r-y/2)+y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 770 | */ [ 3933s] | ~~ [ 3933s] 771 | ALWAYS_INLINE double __kernel_sin(double x, double y, int iy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 772 | { [ 3933s] | ~ [ 3933s] 773 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 774 | half [ 3933s] | ~~~~ [ 3933s] 775 | = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 776 | S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 777 | S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 778 | S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 779 | S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 780 | S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 781 | S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 782 | [ 3933s] | [ 3933s] 783 | double z, r, v; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 784 | int32_t ix; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 785 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 786 | ix &= 0x7FFFFFFF; /* high word of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 787 | if (ix < 0x3E400000 && static_cast(x) == 0) { /* |x| < 2**-27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 788 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 789 | } /* generate inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 790 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 791 | v = z * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 792 | r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 793 | if (iy == 0) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 794 | return x + v * (S1 + z * r); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 795 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 796 | return x - ((z * (half * y - v * r) - y) - v * S1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 797 | } [ 3933s] | ~ [ 3933s] 798 | } [ 3933s] | ~ [ 3933s] 799 | [ 3933s] | [ 3933s] 800 | /* __kernel_tan( x, y, k ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 801 | * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 802 | * Input x is assumed to be bounded by ~pi/4 in magnitude. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 803 | * Input y is the tail of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 804 | * Input k indicates whether tan (if k=1) or [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 805 | * -1/tan (if k= -1) is returned. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 806 | * [ 3933s] | ~ [ 3933s] 807 | * Algorithm [ 3933s] | ~~~~~~~~~~~ [ 3933s] 808 | * 1. Since tan(-x) = -tan(x), we need only to consider positive x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 809 | * 2. if x < 2^-28 (hx<0x3E300000 0), return x with inexact if x!=0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 810 | * 3. tan(x) is approximated by a odd polynomial of degree 27 on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 811 | * [0,0.67434] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 812 | * 3 27 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 813 | * tan(x) ~ x + T1*x + ... + T13*x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 814 | * where [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 815 | * [ 3933s] | ~ [ 3933s] 816 | * |tan(x) 2 4 26 | -59.2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 817 | * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 818 | * | x | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 819 | * [ 3933s] | ~ [ 3933s] 820 | * Note: tan(x+y) = tan(x) + tan'(x)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 821 | * ~ tan(x) + (1+x*x)*y [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 822 | * Therefore, for better accuracy in computing tan(x+y), let [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 823 | * 3 2 2 2 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 824 | * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 825 | * then [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 826 | * 3 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 827 | * tan(x+y) = x + (T1*x + (x *(r+y)+y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 828 | * [ 3933s] | ~ [ 3933s] 829 | * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 830 | * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 831 | * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 832 | */ [ 3933s] | ~~ [ 3933s] 833 | double __kernel_tan(double x, double y, int iy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 834 | { [ 3933s] | ~ [ 3933s] 835 | constexpr double xxx[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 836 | 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 837 | 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 838 | 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 839 | 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 840 | 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 841 | 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 842 | 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 843 | 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 844 | 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 845 | 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 846 | 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 847 | -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 848 | 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 849 | /* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 850 | /* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 851 | /* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 852 | }; [ 3933s] | ~~ [ 3933s] 853 | #define one xxx[13] [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 854 | #define pio4 xxx[14] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 855 | #define pio4lo xxx[15] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 856 | #define T xxx [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 857 | [ 3933s] | [ 3933s] 858 | double z, r, v, w, s; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 859 | int32_t ix, hx; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 860 | [ 3933s] | [ 3933s] 861 | GET_HIGH_WORD(hx, x); /* high word of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 862 | ix = hx & 0x7FFFFFFF; /* high word of |x| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 863 | if (ix < 0x3E300000 && static_cast(x) == 0) { /* x < 2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 864 | /* generate inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 865 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 866 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 867 | if (((ix | low) | (iy + 1)) == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 868 | return one / fabs(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 869 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 870 | if (iy == 1) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 871 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 872 | } else { /* compute -1 / (x+y) carefully */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 873 | double a, t; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 874 | [ 3933s] | [ 3933s] 875 | z = w = x + y; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 876 | SET_LOW_WORD(z, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 877 | v = y - (z - x); [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 878 | t = a = -one / w; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 879 | SET_LOW_WORD(t, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 880 | s = one + t * z; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 881 | return t + a * (s + t * v); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 882 | } [ 3933s] | ~ [ 3933s] 883 | } [ 3933s] | ~ [ 3933s] 884 | } [ 3933s] | ~ [ 3933s] 885 | if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 886 | if (hx < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 887 | x = -x; [ 3933s] | ~~~~~~~ [ 3933s] 888 | y = -y; [ 3933s] | ~~~~~~~ [ 3933s] 889 | } [ 3933s] | ~ [ 3933s] 890 | z = pio4 - x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 891 | w = pio4lo - y; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 892 | x = z + w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 893 | y = 0.0; [ 3933s] | ~~~~~~~~ [ 3933s] 894 | } [ 3933s] | ~ [ 3933s] 895 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 896 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 897 | /* [ 3933s] | ~~ [ 3933s] 898 | * Break x^5*(T[1]+x^2*T[2]+...) into [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 899 | * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 900 | * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 901 | */ [ 3933s] | ~~ [ 3933s] 902 | r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11])))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 903 | v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12]))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 904 | s = z * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 905 | r = y + z * (s * (r + v) + y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 906 | r += T[0] * s; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 907 | w = x + r; [ 3933s] | ~~~~~~~~~~ [ 3933s] 908 | if (ix >= 0x3FE59428) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 909 | v = iy; [ 3933s] | ~~~~~~~ [ 3933s] 910 | return (1 - ((hx >> 30) & 2)) * (v - 2.0 * (x - (w * w / (w + v) - r))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 911 | } [ 3933s] | ~ [ 3933s] 912 | if (iy == 1) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 913 | return w; [ 3933s] | ~~~~~~~~~ [ 3933s] 914 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 915 | /* [ 3933s] | ~~ [ 3933s] 916 | * if allow error up to 2 ulp, simply return [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 917 | * -1.0 / (x+r) here [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 918 | */ [ 3933s] | ~~ [ 3933s] 919 | /* compute -1.0 / (x+r) accurately */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 920 | double a, t; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 921 | z = w; [ 3933s] | ~~~~~~ [ 3933s] 922 | SET_LOW_WORD(z, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 923 | v = r - (z - x); /* z+v = r+x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 924 | t = a = -1.0 / w; /* a = -1.0/w */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 925 | SET_LOW_WORD(t, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 926 | s = 1.0 + t * z; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 927 | return t + a * (s + t * v); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 928 | } [ 3933s] | ~ [ 3933s] 929 | [ 3933s] | [ 3933s] 930 | #undef one [ 3933s] | ~~~~~~~~~~ [ 3933s] 931 | #undef pio4 [ 3933s] | ~~~~~~~~~~~ [ 3933s] 932 | #undef pio4lo [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 933 | #undef T [ 3933s] | ~~~~~~~~ [ 3933s] 934 | } [ 3933s] | ~ [ 3933s] 935 | [ 3933s] | [ 3933s] 936 | } // namespace [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 937 | [ 3933s] | [ 3933s] 938 | /* acos(x) [ 3933s] | ~~~~~~~~~~ [ 3933s] 939 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 940 | * acos(x) = pi/2 - asin(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 941 | * acos(-x) = pi/2 + asin(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 942 | * For |x|<=0.5 [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 943 | * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 944 | * For x>0.5 [ 3933s] | ~~~~~~~~~~~ [ 3933s] 945 | * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 946 | * = 2asin(sqrt((1-x)/2)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 947 | * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 948 | * = 2f + (2c + 2s*z*R(z)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 949 | * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 950 | * for f so that f+c ~ sqrt(z). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 951 | * For x<-0.5 [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 952 | * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 953 | * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 954 | * [ 3933s] | ~ [ 3933s] 955 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 956 | * if x is NaN, return x itself; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 957 | * if |x|>1, return NaN with invalid signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 958 | * [ 3933s] | ~ [ 3933s] 959 | * Function needed: sqrt [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 960 | */ [ 3933s] | ~~ [ 3933s] 961 | double acos(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 962 | { [ 3933s] | ~ [ 3933s] 963 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 964 | one [ 3933s] | ~~~ [ 3933s] 965 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 966 | pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 967 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 968 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 969 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 970 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 971 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 972 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 973 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 974 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 975 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 976 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 977 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 978 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 979 | [ 3933s] | [ 3933s] 980 | double z, p, q, r, w, s, c, df; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 981 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 982 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 983 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 984 | if (ix >= 0x3FF00000) { /* |x| >= 1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 985 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 986 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 987 | if (((ix - 0x3FF00000) | lx) == 0) { /* |x|==1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 988 | if (hx > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 989 | return 0.0; /* acos(1) = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 990 | else [ 3933s] | ~~~~ [ 3933s] 991 | return pi + 2.0 * pio2_lo; /* acos(-1)= pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 992 | } [ 3933s] | ~ [ 3933s] 993 | return (x - x) / (x - x); /* acos(|x|>1) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 994 | } [ 3933s] | ~ [ 3933s] 995 | if (ix < 0x3FE00000) { /* |x| < 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 996 | if (ix <= 0x3C600000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 997 | return pio2_hi + pio2_lo; /*if|x|<2**-57*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 998 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 999 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1000 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1001 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1002 | return pio2_hi - (x - (pio2_lo - x * r)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1003 | } else if (hx < 0) { /* x < -0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1004 | z = (one + x) * 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1005 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1006 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1007 | s = sqrt(z); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1008 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1009 | w = r * s - pio2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1010 | return pi - 2.0 * (s + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1011 | } else { /* x > 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1012 | z = (one - x) * 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1013 | s = sqrt(z); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1014 | df = s; [ 3933s] | ~~~~~~~ [ 3933s] 1015 | SET_LOW_WORD(df, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1016 | c = (z - df * df) / (s + df); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1017 | p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1018 | q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1019 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1020 | w = r * s + c; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1021 | return 2.0 * (df + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1022 | } [ 3933s] | ~ [ 3933s] 1023 | } [ 3933s] | ~ [ 3933s] 1024 | [ 3933s] | [ 3933s] 1025 | /* acosh(x) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1026 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1027 | * Based on [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1028 | * acosh(x) = log [ x + sqrt(x*x-1) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1029 | * we have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1030 | * acosh(x) := log(x)+ln2, if x is large; else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1031 | * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1032 | * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1033 | * [ 3933s] | ~ [ 3933s] 1034 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1035 | * acosh(x) is NaN with signal if x<1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1036 | * acosh(NaN) is NaN without signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1037 | */ [ 3933s] | ~~ [ 3933s] 1038 | double acosh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1039 | { [ 3933s] | ~ [ 3933s] 1040 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1041 | one [ 3933s] | ~~~ [ 3933s] 1042 | = 1.0, [ 3933s] | ~~~~~~ [ 3933s] 1043 | ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1044 | double t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1045 | int32_t hx; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1046 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1047 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1048 | if (hx < 0x3FF00000) { /* x < 1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1049 | return (x - x) / (x - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1050 | } else if (hx >= 0x41B00000) { /* x > 2**28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1051 | if (hx >= 0x7FF00000) { /* x is inf of NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1052 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1053 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1054 | return log(x) + ln2; /* acosh(huge)=log(2x) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1055 | } [ 3933s] | ~ [ 3933s] 1056 | } else if (((hx - 0x3FF00000) | lx) == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1057 | return 0.0; /* acosh(1) = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1058 | } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1059 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1060 | return log(2.0 * x - one / (x + sqrt(t - one))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1061 | } else { /* 10.98 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1081 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1082 | * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1083 | * For x<=0.98, let pio4_hi = pio2_hi/2, then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1084 | * f = hi part of s; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1085 | * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1086 | * and [ 3933s] | ~~~~~~~~~~ [ 3933s] 1087 | * asin(x) = pi/2 - 2*(s+s*z*R(z)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1088 | * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1089 | * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1090 | * [ 3933s] | ~ [ 3933s] 1091 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1092 | * if x is NaN, return x itself; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1093 | * if |x|>1, return NaN with invalid signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1094 | */ [ 3933s] | ~~ [ 3933s] 1095 | double asin(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1096 | { [ 3933s] | ~ [ 3933s] 1097 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1098 | one [ 3933s] | ~~~ [ 3933s] 1099 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1100 | huge = 1.000e+300, [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1101 | pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1102 | pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1103 | pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1104 | /* coefficient for R(x^2) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1105 | pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1106 | pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1107 | pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1108 | pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1109 | pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1110 | pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1111 | qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1112 | qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1113 | qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1114 | qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1115 | [ 3933s] | [ 3933s] 1116 | double t, w, p, q, c, r, s; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1117 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1118 | [ 3933s] | [ 3933s] 1119 | t = 0; [ 3933s] | ~~~~~~ [ 3933s] 1120 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1121 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1122 | if (ix >= 0x3FF00000) { /* |x|>= 1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1123 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1124 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1125 | if (((ix - 0x3FF00000) | lx) == 0) /* asin(1)=+-pi/2 with inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1126 | return x * pio2_hi + x * pio2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1127 | return (x - x) / (x - x); /* asin(|x|>1) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1128 | } else if (ix < 0x3FE00000) { /* |x|<0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1129 | if (ix < 0x3E400000 && huge + x > one) { /* if |x| < 2**-27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1130 | return x; /* return x with inexact if x!=0*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1131 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1132 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1133 | } [ 3933s] | ~ [ 3933s] 1134 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1135 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1136 | w = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1137 | return x + x * w; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1138 | } [ 3933s] | ~ [ 3933s] 1139 | /* 1> |x|>= 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1140 | w = one - fabs(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1141 | t = w * 0.5; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1142 | p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1143 | q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1144 | s = sqrt(t); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1145 | if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1146 | w = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1147 | t = pio2_hi - (2.0 * (s + s * w) - pio2_lo); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1148 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1149 | w = s; [ 3933s] | ~~~~~~ [ 3933s] 1150 | SET_LOW_WORD(w, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1151 | c = (t - w * w) / (s + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1152 | r = p / q; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1153 | p = 2.0 * s * r - (pio2_lo - 2.0 * c); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1154 | q = pio4_hi - 2.0 * w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1155 | t = pio4_hi - (p - q); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1156 | } [ 3933s] | ~ [ 3933s] 1157 | if (hx > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1158 | return t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1159 | else [ 3933s] | ~~~~ [ 3933s] 1160 | return -t; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1161 | } [ 3933s] | ~ [ 3933s] 1162 | /* asinh(x) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1163 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1164 | * Based on [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1165 | * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1166 | * we have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1167 | * asinh(x) := x if 1+x*x=1, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1168 | * := sign(x)*(log(x)+ln2)) for large |x|, else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1169 | * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1170 | * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1171 | */ [ 3933s] | ~~ [ 3933s] 1172 | double asinh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1173 | { [ 3933s] | ~ [ 3933s] 1174 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1175 | one [ 3933s] | ~~~ [ 3933s] 1176 | = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1177 | ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1178 | huge = 1.00000000000000000000e+300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1179 | [ 3933s] | [ 3933s] 1180 | double t, w; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1181 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1182 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1183 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1184 | if (ix >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1185 | return x + x; /* x is inf or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1186 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1187 | return x; /* return x inexact except 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1188 | } [ 3933s] | ~ [ 3933s] 1189 | if (ix > 0x41B00000) { /* |x| > 2**28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1190 | w = log(fabs(x)) + ln2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1191 | } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1192 | t = fabs(x); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1193 | w = log(2.0 * t + one / (sqrt(x * x + one) + t)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1194 | } else { /* 2.0 > |x| > 2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1195 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1196 | w = log1p(fabs(x) + t / (one + sqrt(one + t))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1197 | } [ 3933s] | ~ [ 3933s] 1198 | if (hx > 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1199 | return w; [ 3933s] | ~~~~~~~~~ [ 3933s] 1200 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1201 | return -w; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1202 | } [ 3933s] | ~ [ 3933s] 1203 | } [ 3933s] | ~ [ 3933s] 1204 | [ 3933s] | [ 3933s] 1205 | /* atan(x) [ 3933s] | ~~~~~~~~~~ [ 3933s] 1206 | * Method [ 3933s] | ~~~~~~~~ [ 3933s] 1207 | * 1. Reduce x to positive by atan(x) = -atan(-x). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1208 | * 2. According to the integer k=4t+0.25 chopped, t=x, the argument [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1209 | * is further reduced to one of the following intervals and the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1210 | * arctangent of t is evaluated by the corresponding formula: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1211 | * [ 3933s] | ~ [ 3933s] 1212 | * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1213 | * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1214 | * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1215 | * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1216 | * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1217 | * [ 3933s] | ~ [ 3933s] 1218 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1219 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1220 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1221 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1222 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1223 | */ [ 3933s] | ~~ [ 3933s] 1224 | double atan(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1225 | { [ 3933s] | ~ [ 3933s] 1226 | constexpr double atanhi[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1227 | 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1228 | 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1229 | 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1230 | 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1231 | }; [ 3933s] | ~~ [ 3933s] 1232 | [ 3933s] | [ 3933s] 1233 | constexpr double atanlo[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1234 | 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1235 | 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1236 | 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1237 | 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1238 | }; [ 3933s] | ~~ [ 3933s] 1239 | [ 3933s] | [ 3933s] 1240 | constexpr double aT[] = { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1241 | 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1242 | -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1243 | 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1244 | -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1245 | 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1246 | -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1247 | 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1248 | -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1249 | 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1250 | -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1251 | 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1252 | }; [ 3933s] | ~~ [ 3933s] 1253 | [ 3933s] | [ 3933s] 1254 | constexpr double one = 1.0, huge = 1.0e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1255 | [ 3933s] | [ 3933s] 1256 | double w, s1, s2, z; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1257 | int32_t ix, hx, id; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1258 | [ 3933s] | [ 3933s] 1259 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1260 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1261 | if (ix >= 0x44100000) { /* if |x| >= 2^66 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1262 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1263 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1264 | if (ix > 0x7FF00000 || (ix == 0x7FF00000 && (low != 0))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1265 | return x + x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1266 | if (hx > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1267 | return atanhi[3] + *(volatile double *)&atanlo[3]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1268 | else [ 3933s] | ~~~~ [ 3933s] 1269 | return -atanhi[3] - *(volatile double *)&atanlo[3]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1270 | } [ 3933s] | ~ [ 3933s] 1271 | if (ix < 0x3FDC0000) { /* |x| < 0.4375 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1272 | if (ix < 0x3E400000 && huge + x > one) { /* |x| < 2^-27 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1273 | return x; /* raise inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1274 | } [ 3933s] | ~ [ 3933s] 1275 | id = -1; [ 3933s] | ~~~~~~~~ [ 3933s] 1276 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1277 | x = fabs(x); [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1278 | if (ix < 0x3FF30000) { /* |x| < 1.1875 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1279 | if (ix < 0x3FE60000) { /* 7/16 <=|x|<11/16 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1280 | id = 0; [ 3933s] | ~~~~~~~ [ 3933s] 1281 | x = (2.0 * x - one) / (2.0 + x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1282 | } else { /* 11/16<=|x|< 19/16 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1283 | id = 1; [ 3933s] | ~~~~~~~ [ 3933s] 1284 | x = (x - one) / (x + one); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1285 | } [ 3933s] | ~ [ 3933s] 1286 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1287 | if (ix < 0x40038000) { /* |x| < 2.4375 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1288 | id = 2; [ 3933s] | ~~~~~~~ [ 3933s] 1289 | x = (x - 1.5) / (one + 1.5 * x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1290 | } else { /* 2.4375 <= |x| < 2^66 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1291 | id = 3; [ 3933s] | ~~~~~~~ [ 3933s] 1292 | x = -1.0 / x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1293 | } [ 3933s] | ~ [ 3933s] 1294 | } [ 3933s] | ~ [ 3933s] 1295 | } [ 3933s] | ~ [ 3933s] 1296 | /* end of argument reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1297 | z = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1298 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1299 | /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1300 | s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1301 | s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1302 | if (id < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1303 | return x - x * (s1 + s2); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1304 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1305 | z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1306 | return (hx < 0) ? -z : z; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1307 | } [ 3933s] | ~ [ 3933s] 1308 | } [ 3933s] | ~ [ 3933s] 1309 | [ 3933s] | [ 3933s] 1310 | /* atan2(y,x) [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1311 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1312 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1313 | * 2. Reduce x to positive by (if x and y are unexceptional): [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1314 | * ARG (x+iy) = arctan(y/x) ... if x > 0, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1315 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1316 | * [ 3933s] | ~ [ 3933s] 1317 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1318 | * [ 3933s] | ~ [ 3933s] 1319 | * ATAN2((anything), NaN ) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1320 | * ATAN2(NAN , (anything) ) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1321 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1322 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1323 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1324 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1325 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1326 | * ATAN2(+-INF,+INF ) is +-pi/4 ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1327 | * ATAN2(+-INF,-INF ) is +-3pi/4; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1328 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1329 | * [ 3933s] | ~ [ 3933s] 1330 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1331 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1332 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1333 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1334 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1335 | */ [ 3933s] | ~~ [ 3933s] 1336 | double atan2(double y, double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1337 | { [ 3933s] | ~ [ 3933s] 1338 | constexpr volatile double tiny = 1.0e-300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1339 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1340 | zero [ 3933s] | ~~~~ [ 3933s] 1341 | = 0.0, [ 3933s] | ~~~~~~ [ 3933s] 1342 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1343 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1344 | pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1345 | constexpr volatile double pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1346 | [ 3933s] | [ 3933s] 1347 | double z; [ 3933s] | ~~~~~~~~~ [ 3933s] 1348 | int32_t k, m, hx, hy, ix, iy; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1349 | uint32_t lx, ly; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1350 | [ 3933s] | [ 3933s] 1351 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1352 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1353 | EXTRACT_WORDS(hy, ly, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1354 | iy = hy & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1355 | if (((ix | ((lx | -static_cast(lx)) >> 31)) > 0x7FF00000) || ((iy | ((ly | -static_cast(ly)) >> 31)) > 0x7FF00000)) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1356 | return x + y; /* x or y is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1357 | } [ 3933s] | ~ [ 3933s] 1358 | if (((hx - 0x3FF00000) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1359 | return atan(y); /* x=1.0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1360 | m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2*sign(x)+sign(y) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1361 | [ 3933s] | [ 3933s] 1362 | /* when y = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1363 | if ((iy | ly) == 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1364 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1365 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1366 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1367 | return y; /* atan(+-0,+anything)=+-0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1368 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1369 | return pi + tiny; /* atan(+0,-anything) = pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1370 | case 3: [ 3933s] | ~~~~~~~ [ 3933s] 1371 | return -pi - tiny; /* atan(-0,-anything) =-pi */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1372 | } [ 3933s] | ~ [ 3933s] 1373 | } [ 3933s] | ~ [ 3933s] 1374 | /* when x = 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1375 | if ((ix | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1376 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1377 | [ 3933s] | [ 3933s] 1378 | /* when x is INF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1379 | if (ix == 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1380 | if (iy == 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1381 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1382 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1383 | return pi_o_4 + tiny; /* atan(+INF,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1384 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1385 | return -pi_o_4 - tiny; /* atan(-INF,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1386 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1387 | return 3.0 * pi_o_4 + tiny; /*atan(+INF,-INF)*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1388 | case 3: [ 3933s] | ~~~~~~~ [ 3933s] 1389 | return -3.0 * pi_o_4 - tiny; /*atan(-INF,-INF)*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1390 | } [ 3933s] | ~ [ 3933s] 1391 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1392 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1393 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1394 | return zero; /* atan(+...,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1395 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1396 | return -zero; /* atan(-...,+INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1397 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1398 | return pi + tiny; /* atan(+...,-INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1399 | case 3: [ 3933s] | ~~~~~~~ [ 3933s] 1400 | return -pi - tiny; /* atan(-...,-INF) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1401 | } [ 3933s] | ~ [ 3933s] 1402 | } [ 3933s] | ~ [ 3933s] 1403 | } [ 3933s] | ~ [ 3933s] 1404 | /* when y is INF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1405 | if (iy == 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1406 | return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1407 | [ 3933s] | [ 3933s] 1408 | /* compute y/x */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1409 | k = (iy - ix) >> 20; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1410 | if (k > 60) { /* |y/x| > 2**60 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1411 | z = pi_o_2 + 0.5 * pi_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1412 | m &= 1; [ 3933s] | ~~~~~~~ [ 3933s] 1413 | } else if (hx < 0 && k < -60) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1414 | z = 0.0; /* 0 > |y|/x > -2**-60 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1415 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1416 | z = atan(fabs(y / x)); /* safe to do y/x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1417 | } [ 3933s] | ~ [ 3933s] 1418 | switch (m) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1419 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1420 | return z; /* atan(+,+) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1421 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1422 | return -z; /* atan(-,+) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1423 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1424 | return pi - (z - pi_lo); /* atan(+,-) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1425 | default: /* case 3 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1426 | return (z - pi_lo) - pi; /* atan(-,-) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1427 | } [ 3933s] | ~ [ 3933s] 1428 | } [ 3933s] | ~ [ 3933s] 1429 | [ 3933s] | [ 3933s] 1430 | /* cos(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 1431 | * Return cosine function of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1432 | * [ 3933s] | ~ [ 3933s] 1433 | * kernel function: [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1434 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1435 | * __kernel_cos ... cosine function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1436 | * __ieee754_rem_pio2 ... argument reduction routine [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1437 | * [ 3933s] | ~ [ 3933s] 1438 | * Method. [ 3933s] | ~~~~~~~~~ [ 3933s] 1439 | * Let S,C and T denote the sin, cos and tan respectively on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1440 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1441 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1442 | * We have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1443 | * [ 3933s] | ~ [ 3933s] 1444 | * n sin(x) cos(x) tan(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1445 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1446 | * 0 S C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1447 | * 1 C -S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1448 | * 2 -S -C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1449 | * 3 -C S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1450 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1451 | * [ 3933s] | ~ [ 3933s] 1452 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1453 | * Let trig be any of sin, cos, or tan. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1454 | * trig(+-INF) is NaN, with signals; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1455 | * trig(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1456 | * [ 3933s] | ~ [ 3933s] 1457 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1458 | * TRIG(x) returns trig(x) nearly rounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1459 | */ [ 3933s] | ~~ [ 3933s] 1460 | double cos(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1461 | { [ 3933s] | ~ [ 3933s] 1462 | double y[2], z = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1463 | int32_t n, ix; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1464 | [ 3933s] | [ 3933s] 1465 | /* High word of x. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1466 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1467 | [ 3933s] | [ 3933s] 1468 | /* |x| ~< pi/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1469 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1470 | if (ix <= 0x3FE921FB) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1471 | return __kernel_cos(x, z); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1472 | } else if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1473 | /* cos(Inf or NaN) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1474 | return x - x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1475 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1476 | /* argument reduction needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1477 | n = __ieee754_rem_pio2(x, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1478 | switch (n & 3) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1479 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 1480 | return __kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1481 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 1482 | return -__kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1483 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 1484 | return -__kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1485 | default: [ 3933s] | ~~~~~~~~ [ 3933s] 1486 | return __kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1487 | } [ 3933s] | ~ [ 3933s] 1488 | } [ 3933s] | ~ [ 3933s] 1489 | } [ 3933s] | ~ [ 3933s] 1490 | [ 3933s] | [ 3933s] 1491 | /* exp(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 1492 | * Returns the exponential of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1493 | * [ 3933s] | ~ [ 3933s] 1494 | * Method [ 3933s] | ~~~~~~~~ [ 3933s] 1495 | * 1. Argument reduction: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1496 | * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1497 | * Given x, find r and integer k such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1498 | * [ 3933s] | ~ [ 3933s] 1499 | * x = k*ln2 + r, |r| <= 0.5*ln2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1500 | * [ 3933s] | ~ [ 3933s] 1501 | * Here r will be represented as r = hi-lo for better [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1502 | * accuracy. [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1503 | * [ 3933s] | ~ [ 3933s] 1504 | * 2. Approximation of exp(r) by a special rational function on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1505 | * the interval [0,0.34658]: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1506 | * Write [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1507 | * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1508 | * We use a special Remes algorithm on [0,0.34658] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1509 | * a polynomial of degree 5 to approximate R. The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1510 | * of this polynomial approximation is bounded by 2**-59. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1511 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1512 | * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1513 | * (where z=r*r, and the values of P1 to P5 are listed below) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1514 | * and [ 3933s] | ~~~~~~~~~~ [ 3933s] 1515 | * | 5 | -59 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1516 | * | 2.0+P1*z+...+P5*z - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1517 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1518 | * The computation of exp(r) thus becomes [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1519 | * 2*r [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1520 | * exp(r) = 1 + ------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1521 | * R - r [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1522 | * r*R1(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1523 | * = 1 + r + ----------- (for better accuracy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1524 | * 2 - R1(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1525 | * where [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1526 | * 2 4 10 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1527 | * R1(r) = r - (P1*r + P2*r + ... + P5*r ). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1528 | * [ 3933s] | ~ [ 3933s] 1529 | * 3. Scale back to obtain exp(x): [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1530 | * From step 1, we have [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1531 | * exp(x) = 2^k * exp(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1532 | * [ 3933s] | ~ [ 3933s] 1533 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1534 | * exp(INF) is INF, exp(NaN) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1535 | * exp(-INF) is 0, and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1536 | * for finite argument, only exp(0)=1 is exact. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1537 | * [ 3933s] | ~ [ 3933s] 1538 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1539 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1540 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1541 | * [ 3933s] | ~ [ 3933s] 1542 | * Misc. info. [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1543 | * For IEEE double [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1544 | * if x > 7.09782712893383973096e+02 then exp(x) overflow [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1545 | * if x < -7.45133219101941108420e+02 then exp(x) underflow [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1546 | * [ 3933s] | ~ [ 3933s] 1547 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1548 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1549 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1550 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1551 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1552 | */ [ 3933s] | ~~ [ 3933s] 1553 | double exp(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1554 | { [ 3933s] | ~ [ 3933s] 1555 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1556 | one [ 3933s] | ~~~ [ 3933s] 1557 | = 1.0, [ 3933s] | ~~~~~~ [ 3933s] 1558 | halF[2] = { 0.5, -0.5 }, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1559 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1560 | u_threshold = -7.45133219101941108420e+02, /* 0xC0874910, 0xD52D3051 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1561 | ln2HI[2] = { 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1562 | -6.93147180369123816490e-01 }, /* 0xBFE62E42, 0xFEE00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1563 | ln2LO[2] = { 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1564 | -1.90821492927058770002e-10 }, /* 0xBDEA39EF, 0x35793C76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1565 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1566 | P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1567 | P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1568 | P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1569 | P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1570 | P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1571 | E = 2.718281828459045; /* 0x4005BF0A, 0x8B145769 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1572 | [ 3933s] | [ 3933s] 1573 | constexpr volatile double [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1574 | huge [ 3933s] | ~~~~ [ 3933s] 1575 | = 1.0e+300, [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1576 | twom1000 = 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1577 | two1023 = 8.988465674311579539e307; /* 0x1p1023 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1578 | [ 3933s] | [ 3933s] 1579 | double y, hi = 0.0, lo = 0.0, c, t, twopk; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1580 | int32_t k = 0, xsb; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1581 | uint32_t hx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1582 | [ 3933s] | [ 3933s] 1583 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1584 | xsb = (hx >> 31) & 1; /* sign bit of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1585 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1586 | [ 3933s] | [ 3933s] 1587 | /* filter out non-finite argument */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1588 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1589 | if (hx >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1590 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1591 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1592 | if (((hx & 0xFFFFF) | lx) != 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1593 | return x + x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1594 | else [ 3933s] | ~~~~ [ 3933s] 1595 | return (xsb == 0) ? x : 0.0; /* exp(+-inf)={inf,0} */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1596 | } [ 3933s] | ~ [ 3933s] 1597 | if (x > o_threshold) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1598 | return huge * huge; /* overflow */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1599 | if (x < u_threshold) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1600 | return twom1000 * twom1000; /* underflow */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1601 | } [ 3933s] | ~ [ 3933s] 1602 | [ 3933s] | [ 3933s] 1603 | /* argument reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1604 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1605 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1606 | /* TODO(rtoy): We special case exp(1) here to return the correct [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1607 | * value of E, as the computation below would get the last bit [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1608 | * wrong. We should probably fix the algorithm instead. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1609 | */ [ 3933s] | ~~ [ 3933s] 1610 | if (x == 1.0) [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1611 | return E; [ 3933s] | ~~~~~~~~~ [ 3933s] 1612 | hi = x - ln2HI[xsb]; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1613 | lo = ln2LO[xsb]; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1614 | k = 1 - xsb - xsb; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1615 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1616 | k = static_cast(invln2 * x + halF[xsb]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1617 | t = k; [ 3933s] | ~~~~~~ [ 3933s] 1618 | hi = x - t * ln2HI[0]; /* t*ln2HI is exact here */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1619 | lo = t * ln2LO[0]; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1620 | } [ 3933s] | ~ [ 3933s] 1621 | STRICT_ASSIGN(double, x, hi - lo); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1622 | } else if (hx < 0x3E300000) { /* when |x|<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1623 | if (huge + x > one) [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1624 | return one + x; /* trigger inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1625 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1626 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 1627 | } [ 3933s] | ~ [ 3933s] 1628 | [ 3933s] | [ 3933s] 1629 | /* x is now in primary range */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1630 | t = x * x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1631 | if (k >= -1021) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1632 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1633 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1634 | INSERT_WORDS(twopk, 0x3FF00000 + ((k + 1000) << 20), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1635 | } [ 3933s] | ~ [ 3933s] 1636 | c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1637 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1638 | return one - ((x * c) / (c - 2.0) - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1639 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1640 | y = one - ((lo - (x * c) / (2.0 - c)) - hi); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1641 | } [ 3933s] | ~ [ 3933s] 1642 | if (k >= -1021) { [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1643 | if (k == 1024) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1644 | return y * 2.0 * two1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1645 | return y * twopk; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1646 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1647 | return y * twopk * twom1000; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1648 | } [ 3933s] | ~ [ 3933s] 1649 | } [ 3933s] | ~ [ 3933s] 1650 | [ 3933s] | [ 3933s] 1651 | /* [ 3933s] | ~~ [ 3933s] 1652 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1653 | * 1.Reduced x to positive by atanh(-x) = -atanh(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1654 | * 2.For x>=0.5 [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1655 | * 1 2x x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1656 | * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1657 | * 2 1 - x 1 - x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1658 | * [ 3933s] | ~ [ 3933s] 1659 | * For x<0.5 [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1660 | * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1661 | * [ 3933s] | ~ [ 3933s] 1662 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1663 | * atanh(x) is NaN if |x| > 1 with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1664 | * atanh(NaN) is that NaN with no signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1665 | * atanh(+-1) is +-INF with signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1666 | * [ 3933s] | ~ [ 3933s] 1667 | */ [ 3933s] | ~~ [ 3933s] 1668 | double atanh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1669 | { [ 3933s] | ~ [ 3933s] 1670 | constexpr double one = 1.0, huge = 1e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1671 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1672 | [ 3933s] | [ 3933s] 1673 | double t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1674 | int32_t hx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1675 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1676 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1677 | ix = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1678 | if ((ix | ((lx | -static_cast(lx)) >> 31)) > 0x3FF00000) /* |x|>1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1679 | return (x - x) / (x - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1680 | if (ix == 0x3FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1681 | return x / zero; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1682 | if (ix < 0x3E300000 && (huge + x) > zero) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1683 | return x; /* x<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1684 | SET_HIGH_WORD(x, ix); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1685 | if (ix < 0x3FE00000) { /* x < 0.5 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1686 | t = x + x; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1687 | t = 0.5 * log1p(t + t * x / (one - x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1688 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1689 | t = 0.5 * log1p((x + x) / (one - x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1690 | } [ 3933s] | ~ [ 3933s] 1691 | if (hx >= 0) [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1692 | return t; [ 3933s] | ~~~~~~~~~ [ 3933s] 1693 | else [ 3933s] | ~~~~ [ 3933s] 1694 | return -t; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1695 | } [ 3933s] | ~ [ 3933s] 1696 | [ 3933s] | [ 3933s] 1697 | /* log(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 1698 | * Return the logrithm of x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1699 | * [ 3933s] | ~ [ 3933s] 1700 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1701 | * 1. Argument Reduction: find k and f such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1702 | * x = 2^k * (1+f), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1703 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1704 | * [ 3933s] | ~ [ 3933s] 1705 | * 2. Approximation of log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1706 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1707 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1708 | * = 2s + s*R [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1709 | * We use a special Reme algorithm on [0,0.1716] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1710 | * a polynomial of degree 14 to approximate R The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1711 | * of this polynomial approximation is bounded by 2**-58.45. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1712 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1713 | * 2 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1714 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1715 | * (the values of Lg1 to Lg7 are listed in the program) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1716 | * and [ 3933s] | ~~~~~~ [ 3933s] 1717 | * | 2 14 | -58.45 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1718 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1719 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1720 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1721 | * In order to guarantee error in log below 1ulp, we compute log [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1722 | * by [ 3933s] | ~~~~~ [ 3933s] 1723 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1724 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1725 | * [ 3933s] | ~ [ 3933s] 1726 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1727 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1728 | * Here ln2 is split into two floating point number: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1729 | * ln2_hi + ln2_lo, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1730 | * where n*ln2_hi is always exact for |n| < 2000. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1731 | * [ 3933s] | ~ [ 3933s] 1732 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1733 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1734 | * log(+INF) is +INF; log(0) is -INF with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1735 | * log(NaN) is that NaN with no signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1736 | * [ 3933s] | ~ [ 3933s] 1737 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1738 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1739 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1740 | * [ 3933s] | ~ [ 3933s] 1741 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1742 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1743 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1744 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1745 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1746 | */ [ 3933s] | ~~ [ 3933s] 1747 | double log(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1748 | { [ 3933s] | ~ [ 3933s] 1749 | constexpr double /* -- */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1750 | ln2_hi [ 3933s] | ~~~~~~ [ 3933s] 1751 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1752 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1753 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1754 | Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1755 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1756 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1757 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1758 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1759 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1760 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1761 | [ 3933s] | [ 3933s] 1762 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1763 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1764 | [ 3933s] | [ 3933s] 1765 | double hfsq, f, s, z, R, w, t1, t2, dk; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1766 | int32_t k, hx, i, j; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1767 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1768 | [ 3933s] | [ 3933s] 1769 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1770 | [ 3933s] | [ 3933s] 1771 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 1772 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1773 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1774 | return -two54 / vzero; /* log(+-0)=-inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1775 | if (hx < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1776 | return (x - x) / zero; /* log(-#) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1777 | k -= 54; [ 3933s] | ~~~~~~~~ [ 3933s] 1778 | x *= two54; /* subnormal number, scale up x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1779 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1780 | } [ 3933s] | ~ [ 3933s] 1781 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1782 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1783 | k += (hx >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1784 | hx &= 0x000FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1785 | i = (hx + 0x95F64) & 0x100000; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1786 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1787 | k += (i >> 20); [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1788 | f = x - 1.0; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1789 | if ((0x000FFFFF & (2 + hx)) < 3) { /* -2**-20 <= f < 2**-20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1790 | if (f == zero) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1791 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1792 | return zero; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1793 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1794 | dk = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1795 | return dk * ln2_hi + dk * ln2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1796 | } [ 3933s] | ~ [ 3933s] 1797 | } [ 3933s] | ~ [ 3933s] 1798 | R = f * f * (0.5 - 0.33333333333333333 * f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1799 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1800 | return f - R; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1801 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1802 | dk = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1803 | return dk * ln2_hi - ((R - dk * ln2_lo) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1804 | } [ 3933s] | ~ [ 3933s] 1805 | } [ 3933s] | ~ [ 3933s] 1806 | s = f / (2.0 + f); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1807 | dk = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1808 | z = s * s; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1809 | i = hx - 0x6147A; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1810 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1811 | j = 0x6B851 - hx; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1812 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1813 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1814 | i |= j; [ 3933s] | ~~~~~~~ [ 3933s] 1815 | R = t2 + t1; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1816 | if (i > 0) { [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1817 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1818 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1819 | return f - (hfsq - s * (hfsq + R)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1820 | else [ 3933s] | ~~~~ [ 3933s] 1821 | return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1822 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1823 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1824 | return f - s * (f - R); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1825 | else [ 3933s] | ~~~~ [ 3933s] 1826 | return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1827 | } [ 3933s] | ~ [ 3933s] 1828 | } [ 3933s] | ~ [ 3933s] 1829 | [ 3933s] | [ 3933s] 1830 | /* double log1p(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1831 | * [ 3933s] | ~ [ 3933s] 1832 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 1833 | * 1. Argument Reduction: find k and f such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1834 | * 1+x = 2^k * (1+f), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1835 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1836 | * [ 3933s] | ~ [ 3933s] 1837 | * Note. If k=0, then f=x is exact. However, if k!=0, then f [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1838 | * may not be representable exactly. In that case, a correction [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1839 | * term is need. Let u=1+x rounded. Let c = (1+x)-u, then [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1840 | * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1841 | * and add back the correction term c/u. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1842 | * (Note: when x > 2**53, one can simply return log(x)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1843 | * [ 3933s] | ~ [ 3933s] 1844 | * 2. Approximation of log1p(f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1845 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1846 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1847 | * = 2s + s*R [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1848 | * We use a special Reme algorithm on [0,0.1716] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1849 | * a polynomial of degree 14 to approximate R The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1850 | * of this polynomial approximation is bounded by 2**-58.45. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1851 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 1852 | * 2 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1853 | * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1854 | * (the values of Lp1 to Lp7 are listed in the program) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1855 | * and [ 3933s] | ~~~~~~ [ 3933s] 1856 | * | 2 14 | -58.45 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1857 | * | Lp1*s +...+Lp7*s - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1858 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1859 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1860 | * In order to guarantee error in log below 1ulp, we compute log [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1861 | * by [ 3933s] | ~~~~~ [ 3933s] 1862 | * log1p(f) = f - (hfsq - s*(hfsq+R)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1863 | * [ 3933s] | ~ [ 3933s] 1864 | * 3. Finally, log1p(x) = k*ln2 + log1p(f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1865 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1866 | * Here ln2 is split into two floating point number: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1867 | * ln2_hi + ln2_lo, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1868 | * where n*ln2_hi is always exact for |n| < 2000. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1869 | * [ 3933s] | ~ [ 3933s] 1870 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1871 | * log1p(x) is NaN with signal if x < -1 (including -INF) ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1872 | * log1p(+INF) is +INF; log1p(-1) is -INF with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1873 | * log1p(NaN) is that NaN with no signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1874 | * [ 3933s] | ~ [ 3933s] 1875 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1876 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1877 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1878 | * [ 3933s] | ~ [ 3933s] 1879 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1880 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1881 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1882 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1883 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1884 | * [ 3933s] | ~ [ 3933s] 1885 | * Note: Assuming log() return accurate answer, the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1886 | * algorithm can be used to compute log1p(x) to within a few ULP: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1887 | * [ 3933s] | ~ [ 3933s] 1888 | * u = 1+x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1889 | * if(u==1.0) return x ; else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1890 | * return log(u)*(x/(u-1.0)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1891 | * [ 3933s] | ~ [ 3933s] 1892 | * See HP-15C Advanced Functions Handbook, p.193. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1893 | */ [ 3933s] | ~~ [ 3933s] 1894 | double log1p(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1895 | { [ 3933s] | ~ [ 3933s] 1896 | constexpr double /* -- */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1897 | ln2_hi [ 3933s] | ~~~~~~ [ 3933s] 1898 | = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1899 | ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1900 | two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1901 | Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1902 | Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1903 | Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1904 | Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1905 | Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1906 | Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1907 | Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1908 | [ 3933s] | [ 3933s] 1909 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1910 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1911 | [ 3933s] | [ 3933s] 1912 | double hfsq, f, c, s, z, R, u; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1913 | int32_t k, hx, hu, ax; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1914 | [ 3933s] | [ 3933s] 1915 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1916 | ax = hx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1917 | [ 3933s] | [ 3933s] 1918 | c = 0; [ 3933s] | ~~~~~~ [ 3933s] 1919 | k = 1; [ 3933s] | ~~~~~~ [ 3933s] 1920 | if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1921 | if (ax >= 0x3FF00000) { /* x <= -1.0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1922 | if (x == -1.0) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 1923 | return -two54 / vzero; /* log1p(-1)=+inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1924 | else [ 3933s] | ~~~~ [ 3933s] 1925 | return (x - x) / (x - x); /* log1p(x<-1)=NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1926 | } [ 3933s] | ~ [ 3933s] 1927 | if (ax < 0x3E200000) { /* |x| < 2**-29 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1928 | if (two54 + x > zero /* raise inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1929 | && ax < 0x3C900000) /* |x| < 2**-54 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1930 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 1931 | else [ 3933s] | ~~~~ [ 3933s] 1932 | return x - x * x * 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1933 | } [ 3933s] | ~ [ 3933s] 1934 | if (hx > 0 || hx <= static_cast(0xBFD2BEC4)) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1935 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 1936 | f = x; [ 3933s] | ~~~~~~ [ 3933s] 1937 | hu = 1; [ 3933s] | ~~~~~~~ [ 3933s] 1938 | } /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1939 | } [ 3933s] | ~ [ 3933s] 1940 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1941 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1942 | if (k != 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1943 | if (hx < 0x43400000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1944 | STRICT_ASSIGN(double, u, 1.0 + x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1945 | GET_HIGH_WORD(hu, u); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1946 | k = (hu >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1947 | c = (k > 0) ? 1.0 - (u - x) : x - (u - 1.0); /* correction term */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1948 | c /= u; [ 3933s] | ~~~~~~~ [ 3933s] 1949 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1950 | u = x; [ 3933s] | ~~~~~~ [ 3933s] 1951 | GET_HIGH_WORD(hu, u); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1952 | k = (hu >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1953 | c = 0; [ 3933s] | ~~~~~~ [ 3933s] 1954 | } [ 3933s] | ~ [ 3933s] 1955 | hu &= 0x000FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 1956 | /* [ 3933s] | ~~ [ 3933s] 1957 | * The approximation to sqrt(2) used in thresholds is not [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1958 | * critical. However, the ones used above must give less [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1959 | * strict bounds than the one here so that the k==0 case is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1960 | * never reached from here, since here we have committed to [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1961 | * using the correction term but don't use it if k==0. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1962 | */ [ 3933s] | ~~ [ 3933s] 1963 | if (hu < 0x6A09E) { /* u ~< sqrt(2) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1964 | SET_HIGH_WORD(u, hu | 0x3FF00000); /* normalize u */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1965 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1966 | k += 1; [ 3933s] | ~~~~~~~ [ 3933s] 1967 | SET_HIGH_WORD(u, hu | 0x3FE00000); /* normalize u/2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1968 | hu = (0x00100000 - hu) >> 2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1969 | } [ 3933s] | ~ [ 3933s] 1970 | f = u - 1.0; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1971 | } [ 3933s] | ~ [ 3933s] 1972 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 1973 | if (hu == 0) { /* |f| < 2**-20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1974 | if (f == zero) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1975 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1976 | return zero; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 1977 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 1978 | c += k * ln2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 1979 | return k * ln2_hi + c; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1980 | } [ 3933s] | ~ [ 3933s] 1981 | } [ 3933s] | ~ [ 3933s] 1982 | R = hfsq * (1.0 - 0.66666666666666666 * f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1983 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1984 | return f - R; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1985 | else [ 3933s] | ~~~~ [ 3933s] 1986 | return k * ln2_hi - ((R - (k * ln2_lo + c)) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1987 | } [ 3933s] | ~ [ 3933s] 1988 | s = f / (2.0 + f); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 1989 | z = s * s; [ 3933s] | ~~~~~~~~~~ [ 3933s] 1990 | R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1991 | if (k == 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 1992 | return f - (hfsq - s * (hfsq + R)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1993 | else [ 3933s] | ~~~~ [ 3933s] 1994 | return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 1995 | } [ 3933s] | ~ [ 3933s] 1996 | [ 3933s] | [ 3933s] 1997 | /* [ 3933s] | ~~ [ 3933s] 1998 | * k_log1p(f): [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 1999 | * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2000 | * [ 3933s] | ~ [ 3933s] 2001 | * The following describes the overall strategy for computing [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2002 | * logarithms in base e. The argument reduction and adding the final [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2003 | * term of the polynomial are done by the caller for increased accuracy [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2004 | * when different bases are used. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2005 | * [ 3933s] | ~ [ 3933s] 2006 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2007 | * 1. Argument Reduction: find k and f such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2008 | * x = 2^k * (1+f), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2009 | * where sqrt(2)/2 < 1+f < sqrt(2) . [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2010 | * [ 3933s] | ~ [ 3933s] 2011 | * 2. Approximation of log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2012 | * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2013 | * = 2s + 2/3 s**3 + 2/5 s**5 + ....., [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2014 | * = 2s + s*R [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2015 | * We use a special Reme algorithm on [0,0.1716] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2016 | * a polynomial of degree 14 to approximate R The maximum error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2017 | * of this polynomial approximation is bounded by 2**-58.45. In [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2018 | * other words, [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2019 | * 2 4 6 8 10 12 14 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2020 | * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2021 | * (the values of Lg1 to Lg7 are listed in the program) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2022 | * and [ 3933s] | ~~~~~~~~~~ [ 3933s] 2023 | * | 2 14 | -58.45 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2024 | * | Lg1*s +...+Lg7*s - R(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2025 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2026 | * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2027 | * In order to guarantee error in log below 1ulp, we compute log [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2028 | * by [ 3933s] | ~~~~~~~~~ [ 3933s] 2029 | * log(1+f) = f - s*(f - R) (if f is not too large) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2030 | * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2031 | * [ 3933s] | ~ [ 3933s] 2032 | * 3. Finally, log(x) = k*ln2 + log(1+f). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2033 | * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2034 | * Here ln2 is split into two floating point number: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2035 | * ln2_hi + ln2_lo, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2036 | * where n*ln2_hi is always exact for |n| < 2000. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2037 | * [ 3933s] | ~ [ 3933s] 2038 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2039 | * log(x) is NaN with signal if x < 0 (including -INF) ; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2040 | * log(+INF) is +INF; log(0) is -INF with signal; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2041 | * log(NaN) is that NaN with no signal. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2042 | * [ 3933s] | ~ [ 3933s] 2043 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2044 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2045 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2046 | * [ 3933s] | ~ [ 3933s] 2047 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2048 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2049 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2050 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2051 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2052 | */ [ 3933s] | ~~ [ 3933s] 2053 | [ 3933s] | [ 3933s] 2054 | constexpr double Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2055 | Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2056 | Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2057 | Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2058 | Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2059 | Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2060 | Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2061 | [ 3933s] | [ 3933s] 2062 | /* [ 3933s] | ~~ [ 3933s] 2063 | * We always inline k_log1p(), since doing so produces a [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2064 | * substantial performance improvement (~40% on amd64). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2065 | */ [ 3933s] | ~~ [ 3933s] 2066 | static inline double k_log1p(double f) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2067 | { [ 3933s] | ~ [ 3933s] 2068 | double hfsq, s, z, R, w, t1, t2; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2069 | [ 3933s] | [ 3933s] 2070 | s = f / (2.0 + f); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2071 | z = s * s; [ 3933s] | ~~~~~~~~~~ [ 3933s] 2072 | w = z * z; [ 3933s] | ~~~~~~~~~~ [ 3933s] 2073 | t1 = w * (Lg2 + w * (Lg4 + w * Lg6)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2074 | t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2075 | R = t2 + t1; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2076 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2077 | return s * (hfsq + R); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2078 | } [ 3933s] | ~ [ 3933s] 2079 | [ 3933s] | [ 3933s] 2080 | /* [ 3933s] | ~~ [ 3933s] 2081 | * Return the base 2 logarithm of x. See e_log.c and k_log.h for most [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2082 | * comments. [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2083 | * [ 3933s] | ~ [ 3933s] 2084 | * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2085 | * then does the combining and scaling steps [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2086 | * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2087 | * in not-quite-routine extra precision. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2088 | */ [ 3933s] | ~~ [ 3933s] 2089 | double log2(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2090 | { [ 3933s] | ~ [ 3933s] 2091 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2092 | two54 [ 3933s] | ~~~~~ [ 3933s] 2093 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2094 | ivln2hi = 1.44269504072144627571e+00, /* 0x3FF71547, 0x65200000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2095 | ivln2lo = 1.67517131648865118353e-10; /* 0x3DE705FC, 0x2EEFA200 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2096 | [ 3933s] | [ 3933s] 2097 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2098 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2099 | [ 3933s] | [ 3933s] 2100 | double f, hfsq, hi, lo, r, val_hi, val_lo, w, y; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2101 | int32_t i, k, hx; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2102 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2103 | [ 3933s] | [ 3933s] 2104 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2105 | [ 3933s] | [ 3933s] 2106 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 2107 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2108 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2109 | return -two54 / vzero; /* log(+-0)=-inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2110 | if (hx < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2111 | return (x - x) / zero; /* log(-#) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2112 | k -= 54; [ 3933s] | ~~~~~~~~ [ 3933s] 2113 | x *= two54; /* subnormal number, scale up x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2114 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2115 | } [ 3933s] | ~ [ 3933s] 2116 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2117 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2118 | if (hx == 0x3FF00000 && lx == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2119 | return zero; /* log(1) = +0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2120 | k += (hx >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2121 | hx &= 0x000FFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2122 | i = (hx + 0x95F64) & 0x100000; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2123 | SET_HIGH_WORD(x, hx | (i ^ 0x3FF00000)); /* normalize x or x/2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2124 | k += (i >> 20); [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2125 | y = static_cast(k); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2126 | f = x - 1.0; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2127 | hfsq = 0.5 * f * f; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2128 | r = k_log1p(f); [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2129 | [ 3933s] | [ 3933s] 2130 | /* [ 3933s] | ~~ [ 3933s] 2131 | * f-hfsq must (for args near 1) be evaluated in extra precision [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2132 | * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2133 | * This is fairly efficient since f-hfsq only depends on f, so can [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2134 | * be evaluated in parallel with R. Not combining hfsq with R also [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2135 | * keeps R small (though not as small as a true `lo' term would be), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2136 | * so that extra precision is not needed for terms involving R. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2137 | * [ 3933s] | ~ [ 3933s] 2138 | * Compiler bugs involving extra precision used to break Dekker's [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2139 | * theorem for spitting f-hfsq as hi+lo, unless double_t was used [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2140 | * or the multi-precision calculations were avoided when double_t [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2141 | * has extra precision. These problems are now automatically [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2142 | * avoided as a side effect of the optimization of combining the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2143 | * Dekker splitting step with the clear-low-bits step. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2144 | * [ 3933s] | ~ [ 3933s] 2145 | * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2146 | * precision to avoid a very large cancellation when x is very near [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2147 | * these values. Unlike the above cancellations, this problem is [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2148 | * specific to base 2. It is strange that adding +-1 is so much [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2149 | * harder than adding +-ln2 or +-log10_2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2150 | * [ 3933s] | ~ [ 3933s] 2151 | * This uses Dekker's theorem to normalize y+val_hi, so the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2152 | * compiler bugs are back in some configurations, sigh. And I [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2153 | * don't want to used double_t to avoid them, since that gives a [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2154 | * pessimization and the support for avoiding the pessimization [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2155 | * is not yet available. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2156 | * [ 3933s] | ~ [ 3933s] 2157 | * The multi-precision calculations for the multiplications are [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2158 | * routine. [ 3933s] | ~~~~~~~~~~ [ 3933s] 2159 | */ [ 3933s] | ~~ [ 3933s] 2160 | hi = f - hfsq; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2161 | SET_LOW_WORD(hi, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2162 | lo = (f - hi) - hfsq + r; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2163 | val_hi = hi * ivln2hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2164 | val_lo = (lo + hi) * ivln2lo + lo * ivln2hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2165 | [ 3933s] | [ 3933s] 2166 | /* spadd(val_hi, val_lo, y), except for not using double_t: */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2167 | w = y + val_hi; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2168 | val_lo += (y - w) + val_hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2169 | val_hi = w; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2170 | [ 3933s] | [ 3933s] 2171 | return val_lo + val_hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2172 | } [ 3933s] | ~ [ 3933s] 2173 | [ 3933s] | [ 3933s] 2174 | /* [ 3933s] | ~~ [ 3933s] 2175 | * Return the base 10 logarithm of x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2176 | * [ 3933s] | ~ [ 3933s] 2177 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2178 | * Let log10_2hi = leading 40 bits of log10(2) and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2179 | * log10_2lo = log10(2) - log10_2hi, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2180 | * ivln10 = 1/log(10) rounded. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2181 | * Then [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2182 | * n = ilogb(x), [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2183 | * if(n<0) n = n+1; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2184 | * x = scalbn(x,-n); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2185 | * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2186 | * [ 3933s] | ~ [ 3933s] 2187 | * Note 1: [ 3933s] | ~~~~~~~~~~ [ 3933s] 2188 | * To guarantee log10(10**n)=n, where 10**n is normal, the rounding [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2189 | * mode must set to Round-to-Nearest. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2190 | * Note 2: [ 3933s] | ~~~~~~~~~~ [ 3933s] 2191 | * [1/log(10)] rounded to 53 bits has error .198 ulps; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2192 | * log10 is monotonic at all binary break points. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2193 | * [ 3933s] | ~ [ 3933s] 2194 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2195 | * log10(x) is NaN if x < 0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2196 | * log10(+INF) is +INF; log10(0) is -INF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2197 | * log10(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2198 | * log10(10**N) = N for N=0,1,...,22. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2199 | */ [ 3933s] | ~~ [ 3933s] 2200 | double log10(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2201 | { [ 3933s] | ~ [ 3933s] 2202 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2203 | two54 [ 3933s] | ~~~~~ [ 3933s] 2204 | = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2205 | ivln10 = 4.34294481903251816668e-01, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2206 | log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2207 | log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2208 | [ 3933s] | [ 3933s] 2209 | constexpr double zero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2210 | constexpr volatile double vzero = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2211 | [ 3933s] | [ 3933s] 2212 | double y; [ 3933s] | ~~~~~~~~~ [ 3933s] 2213 | int32_t i, k, hx; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2214 | uint32_t lx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2215 | [ 3933s] | [ 3933s] 2216 | EXTRACT_WORDS(hx, lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2217 | [ 3933s] | [ 3933s] 2218 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 2219 | if (hx < 0x00100000) { /* x < 2**-1022 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2220 | if (((hx & 0x7FFFFFFF) | lx) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2221 | return -two54 / vzero; /* log(+-0)=-inf */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2222 | if (hx < 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2223 | return (x - x) / zero; /* log(-#) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2224 | k -= 54; [ 3933s] | ~~~~~~~~ [ 3933s] 2225 | x *= two54; /* subnormal number, scale up x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2226 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2227 | GET_LOW_WORD(lx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2228 | } [ 3933s] | ~ [ 3933s] 2229 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2230 | return x + x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2231 | if (hx == 0x3FF00000 && lx == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2232 | return zero; /* log(1) = +0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2233 | k += (hx >> 20) - 1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2234 | [ 3933s] | [ 3933s] 2235 | i = (k & 0x80000000) >> 31; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2236 | hx = (hx & 0x000FFFFF) | ((0x3FF - i) << 20); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2237 | y = k + i; [ 3933s] | ~~~~~~~~~~ [ 3933s] 2238 | SET_HIGH_WORD(x, hx); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2239 | SET_LOW_WORD(x, lx); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2240 | [ 3933s] | [ 3933s] 2241 | double z = y * log10_2lo + ivln10 * log(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2242 | return z + y * log10_2hi; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2243 | } [ 3933s] | ~ [ 3933s] 2244 | [ 3933s] | [ 3933s] 2245 | /* expm1(x) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2246 | * Returns exp(x)-1, the exponential of x minus 1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2247 | * [ 3933s] | ~ [ 3933s] 2248 | * Method [ 3933s] | ~~~~~~~~ [ 3933s] 2249 | * 1. Argument reduction: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2250 | * Given x, find r and integer k such that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2251 | * [ 3933s] | ~ [ 3933s] 2252 | * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2253 | * [ 3933s] | ~ [ 3933s] 2254 | * Here a correction term c will be computed to compensate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2255 | * the error in r when rounded to a floating-point number. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2256 | * [ 3933s] | ~ [ 3933s] 2257 | * 2. Approximating expm1(r) by a special rational function on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2258 | * the interval [0,0.34658]: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2259 | * Since [ 3933s] | ~~~~~~~~ [ 3933s] 2260 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2261 | * we define R1(r*r) by [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2262 | * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2263 | * That is, [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2264 | * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2265 | * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2266 | * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2267 | * We use a special Reme algorithm on [0,0.347] to generate [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2268 | * a polynomial of degree 5 in r*r to approximate R1. The [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2269 | * maximum error of this polynomial approximation is bounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2270 | * by 2**-61. In other words, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2271 | * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2272 | * where Q1 = -1.6666666666666567384E-2, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2273 | * Q2 = 3.9682539681370365873E-4, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2274 | * Q3 = -9.9206344733435987357E-6, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2275 | * Q4 = 2.5051361420808517002E-7, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2276 | * Q5 = -6.2843505682382617102E-9; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2277 | * z = r*r, [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2278 | * with error bounded by [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2279 | * | 5 | -61 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2280 | * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2281 | * | | [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2282 | * [ 3933s] | ~ [ 3933s] 2283 | * expm1(r) = exp(r)-1 is then computed by the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2284 | * specific way which minimize the accumulation rounding error: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2285 | * 2 3 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2286 | * r r [ 3 - (R1 + R1*r/2) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2287 | * expm1(r) = r + --- + --- * [--------------------] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2288 | * 2 2 [ 6 - r*(3 - R1*r/2) ] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2289 | * [ 3933s] | ~ [ 3933s] 2290 | * To compensate the error in the argument reduction, we use [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2291 | * expm1(r+c) = expm1(r) + c + expm1(r)*c [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2292 | * ~ expm1(r) + c + r*c [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2293 | * Thus c+r*c will be added in as the correction terms for [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2294 | * expm1(r+c). Now rearrange the term to avoid optimization [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2295 | * screw up: [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2296 | * ( 2 2 ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2297 | * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2298 | * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2299 | * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2300 | * ( ) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2301 | * [ 3933s] | ~ [ 3933s] 2302 | * = r - E [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2303 | * 3. Scale back to obtain expm1(x): [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2304 | * From step 1, we have [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2305 | * expm1(x) = either 2^k*[expm1(r)+1] - 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2306 | * = or 2^k*[expm1(r) + (1-2^-k)] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2307 | * 4. Implementation notes: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2308 | * (A). To save one multiplication, we scale the coefficient Qi [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2309 | * to Qi*2^i, and replace z by (x^2)/2. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2310 | * (B). To achieve maximum accuracy, we compute expm1(x) by [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2311 | * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2312 | * (ii) if k=0, return r-E [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2313 | * (iii) if k=-1, return 0.5*(r-E)-0.5 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2314 | * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2315 | * else return 1.0+2.0*(r-E); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2316 | * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2317 | * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2318 | * (vii) return 2^k(1-((E+2^-k)-r)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2319 | * [ 3933s] | ~ [ 3933s] 2320 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2321 | * expm1(INF) is INF, expm1(NaN) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2322 | * expm1(-INF) is -1, and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2323 | * for finite argument, only expm1(0)=0 is exact. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2324 | * [ 3933s] | ~ [ 3933s] 2325 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2326 | * according to an error analysis, the error is always less than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2327 | * 1 ulp (unit in the last place). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2328 | * [ 3933s] | ~ [ 3933s] 2329 | * Misc. info. [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2330 | * For IEEE double [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2331 | * if x > 7.09782712893383973096e+02 then expm1(x) overflow [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2332 | * [ 3933s] | ~ [ 3933s] 2333 | * Constants: [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2334 | * The hexadecimal values are the intended ones for the following [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2335 | * constants. The decimal values may be used, provided that the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2336 | * compiler will convert from decimal to binary accurately enough [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2337 | * to produce the hexadecimal values shown. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2338 | */ [ 3933s] | ~~ [ 3933s] 2339 | double expm1(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2340 | { [ 3933s] | ~ [ 3933s] 2341 | constexpr double [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2342 | one [ 3933s] | ~~~ [ 3933s] 2343 | = 1.0, [ 3933s] | ~~~~~~ [ 3933s] 2344 | tiny = 1.0e-300, [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2345 | o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2346 | ln2_hi = 6.93147180369123816490e-01, /* 0x3FE62E42, 0xFEE00000 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2347 | ln2_lo = 1.90821492927058770002e-10, /* 0x3DEA39EF, 0x35793C76 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2348 | invln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2349 | /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2350 | x*x/2: */ [ 3933s] | ~~~~~~~~~ [ 3933s] 2351 | Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2352 | Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2353 | Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2354 | Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2355 | Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2356 | [ 3933s] | [ 3933s] 2357 | constexpr volatile double huge = 1.0e+300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2358 | [ 3933s] | [ 3933s] 2359 | double y, hi, lo, c, t, e, hxs, hfx, r1, twopk; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2360 | int32_t k, xsb; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2361 | uint32_t hx; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2362 | [ 3933s] | [ 3933s] 2363 | GET_HIGH_WORD(hx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2364 | xsb = hx & 0x80000000; /* sign bit of x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2365 | hx &= 0x7FFFFFFF; /* high word of |x| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2366 | [ 3933s] | [ 3933s] 2367 | /* filter out huge and non-finite argument */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2368 | if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2369 | if (hx >= 0x40862E42) { /* if |x|>=709.78... */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2370 | if (hx >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2371 | uint32_t low; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2372 | GET_LOW_WORD(low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2373 | if (((hx & 0xFFFFF) | low) != 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2374 | return x + x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2375 | else [ 3933s] | ~~~~ [ 3933s] 2376 | return (xsb == 0) ? x : -1.0; /* exp(+-inf)={inf,-1} */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2377 | } [ 3933s] | ~ [ 3933s] 2378 | if (x > o_threshold) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2379 | return huge * huge; /* overflow */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2380 | } [ 3933s] | ~ [ 3933s] 2381 | if (xsb != 0 && x + tiny < 0.0) { /* x < -56*ln2, return -1.0 with inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2382 | /* raise inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2383 | return tiny - one; /* return -1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2384 | } [ 3933s] | ~ [ 3933s] 2385 | } [ 3933s] | ~ [ 3933s] 2386 | [ 3933s] | [ 3933s] 2387 | /* argument reduction */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2388 | if (hx > 0x3FD62E42) { /* if |x| > 0.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2389 | if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2390 | if (xsb == 0) { [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2391 | hi = x - ln2_hi; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2392 | lo = ln2_lo; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2393 | k = 1; [ 3933s] | ~~~~~~ [ 3933s] 2394 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2395 | hi = x + ln2_hi; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2396 | lo = -ln2_lo; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2397 | k = -1; [ 3933s] | ~~~~~~~ [ 3933s] 2398 | } [ 3933s] | ~ [ 3933s] 2399 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2400 | k = invln2 * x + ((xsb == 0) ? 0.5 : -0.5); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2401 | t = k; [ 3933s] | ~~~~~~ [ 3933s] 2402 | hi = x - t * ln2_hi; /* t*ln2_hi is exact here */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2403 | lo = t * ln2_lo; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2404 | } [ 3933s] | ~ [ 3933s] 2405 | STRICT_ASSIGN(double, x, hi - lo); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2406 | c = (hi - x) - lo; [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2407 | } else if (hx < 0x3C900000) { /* when |x|<2**-54, return x */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2408 | t = huge + x; /* return x with inexact flags when x!=0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2409 | return x - (t - (huge + x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2410 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2411 | k = 0; [ 3933s] | ~~~~~~ [ 3933s] 2412 | } [ 3933s] | ~ [ 3933s] 2413 | [ 3933s] | [ 3933s] 2414 | /* x is now in primary range */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2415 | hfx = 0.5 * x; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2416 | hxs = x * hfx; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2417 | r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2418 | t = 3.0 - r1 * hfx; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2419 | e = hxs * ((r1 - t) / (6.0 - x * t)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2420 | if (k == 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2421 | return x - (x * e - hxs); /* c is 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2422 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2423 | INSERT_WORDS(twopk, 0x3FF00000 + (k << 20), 0); /* 2^k */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2424 | e = (x * (e - c) - c); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2425 | e -= hxs; [ 3933s] | ~~~~~~~~~ [ 3933s] 2426 | if (k == -1) [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2427 | return 0.5 * (x - e) - 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2428 | if (k == 1) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2429 | if (x < -0.25) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2430 | return -2.0 * (e - (x + 0.5)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2431 | else [ 3933s] | ~~~~ [ 3933s] 2432 | return one + 2.0 * (x - e); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2433 | } [ 3933s] | ~ [ 3933s] 2434 | if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2435 | y = one - (e - x); [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2436 | // TODO(mvstanton): is this replacement for the hex float [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2437 | // sufficient? [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2438 | // if (k == 1024) y = y*2.0*0x1p1023; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2439 | if (k == 1024) [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2440 | y = y * 2.0 * 8.98846567431158e+307; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2441 | else [ 3933s] | ~~~~ [ 3933s] 2442 | y = y * twopk; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2443 | return y - one; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2444 | } [ 3933s] | ~ [ 3933s] 2445 | t = one; [ 3933s] | ~~~~~~~~ [ 3933s] 2446 | if (k < 20) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2447 | SET_HIGH_WORD(t, 0x3FF00000 - (0x200000 >> k)); /* t=1-2^-k */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2448 | y = t - (e - x); [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2449 | y = y * twopk; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2450 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2451 | SET_HIGH_WORD(t, ((0x3FF - k) << 20)); /* 2^-k */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2452 | y = x - (e + t); [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2453 | y += one; [ 3933s] | ~~~~~~~~~ [ 3933s] 2454 | y = y * twopk; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2455 | } [ 3933s] | ~ [ 3933s] 2456 | } [ 3933s] | ~ [ 3933s] 2457 | return y; [ 3933s] | ~~~~~~~~~ [ 3933s] 2458 | } [ 3933s] | ~ [ 3933s] 2459 | [ 3933s] | [ 3933s] 2460 | double cbrt(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2461 | { [ 3933s] | ~ [ 3933s] 2462 | constexpr uint32_t [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2463 | B1 [ 3933s] | ~~ [ 3933s] 2464 | = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2465 | B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2466 | [ 3933s] | [ 3933s] 2467 | /* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2468 | constexpr double P0 = 1.87595182427177009643, /* 0x3FFE03E6, 0x0F61E692 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2469 | P1 = -1.88497979543377169875, /* 0xBFFE28E0, 0x92F02420 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2470 | P2 = 1.621429720105354466140, /* 0x3FF9F160, 0x4A49D6C2 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2471 | P3 = -0.758397934778766047437, /* 0xBFE844CB, 0xBEE751D9 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2472 | P4 = 0.145996192886612446982; /* 0x3FC2B000, 0xD4E4EDD7 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2473 | [ 3933s] | [ 3933s] 2474 | int32_t hx; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2475 | union { [ 3933s] | ~~~~~~~ [ 3933s] 2476 | double value; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2477 | uint64_t bits; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2478 | } u; [ 3933s] | ~~~~ [ 3933s] 2479 | double r, s, t = 0.0, w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2480 | uint32_t sign; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2481 | uint32_t high, low; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2482 | [ 3933s] | [ 3933s] 2483 | EXTRACT_WORDS(hx, low, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2484 | sign = hx & 0x80000000; /* sign= sign(x) */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2485 | hx ^= sign; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2486 | if (hx >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2487 | return (x + x); /* cbrt(NaN,INF) is itself */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2488 | [ 3933s] | [ 3933s] 2489 | /* [ 3933s] | ~~ [ 3933s] 2490 | * Rough cbrt to 5 bits: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2491 | * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2492 | * where e is integral and >= 0, m is real and in [0, 1), and "/" and [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2493 | * "%" are integer division and modulus with rounding towards minus [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2494 | * infinity. The RHS is always >= the LHS and has a maximum relative [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2495 | * error of about 1 in 16. Adding a bias of -0.03306235651 to the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2496 | * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2497 | * floating point representation, for finite positive normal values, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2498 | * ordinary integer division of the value in bits magically gives [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2499 | * almost exactly the RHS of the above provided we first subtract the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2500 | * exponent bias (1023 for doubles) and later add it back. We do the [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2501 | * subtraction virtually to keep e >= 0 so that ordinary integer [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2502 | * division rounds towards minus infinity; this is also efficient. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2503 | */ [ 3933s] | ~~ [ 3933s] 2504 | if (hx < 0x00100000) { /* zero or subnormal? */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2505 | if ((hx | low) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2506 | return (x); /* cbrt(0) is itself */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2507 | SET_HIGH_WORD(t, 0x43500000); /* set t= 2**54 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2508 | t *= x; [ 3933s] | ~~~~~~~ [ 3933s] 2509 | GET_HIGH_WORD(high, t); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2510 | INSERT_WORDS(t, sign | ((high & 0x7FFFFFFF) / 3 + B2), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2511 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2512 | INSERT_WORDS(t, sign | (hx / 3 + B1), 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2513 | } [ 3933s] | ~ [ 3933s] 2514 | [ 3933s] | [ 3933s] 2515 | /* [ 3933s] | ~~ [ 3933s] 2516 | * New cbrt to 23 bits: [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2517 | * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2518 | * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2519 | * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2520 | * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2521 | * gives us bounds for r = t**3/x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2522 | * [ 3933s] | ~ [ 3933s] 2523 | * Try to optimize for parallel evaluation as in k_tanf.c. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2524 | */ [ 3933s] | ~~ [ 3933s] 2525 | r = (t * t) * (t / x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2526 | t = t * ((P0 + r * (P1 + r * P2)) + ((r * r) * r) * (P3 + r * P4)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2527 | [ 3933s] | [ 3933s] 2528 | /* [ 3933s] | ~~ [ 3933s] 2529 | * Round t away from zero to 23 bits (sloppily except for ensuring that [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2530 | * the result is larger in magnitude than cbrt(x) but not much more than [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2531 | * 2 23-bit ulps larger). With rounding towards zero, the error bound [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2532 | * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2533 | * in the rounded t, the infinite-precision error in the Newton [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2534 | * approximation barely affects third digit in the final error [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2535 | * 0.667; the error in the rounded t can be up to about 3 23-bit ulps [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2536 | * before the final error is larger than 0.667 ulps. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2537 | */ [ 3933s] | ~~ [ 3933s] 2538 | u.value = t; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2539 | u.bits = (u.bits + 0x80000000) & 0xFFFFFFFFC0000000ULL; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2540 | t = u.value; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2541 | [ 3933s] | [ 3933s] 2542 | /* one step Newton iteration to 53 bits with error < 0.667 ulps */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2543 | s = t * t; /* t*t is exact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2544 | r = x / s; /* error <= 0.5 ulps; |r| < |t| */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2545 | w = t + t; /* t+t is exact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2546 | r = (r - t) / (w + r); /* r-t is exact; w+r ~= 3*t */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2547 | t = t + t * r; /* error <= 0.5 + 0.5/3 + epsilon */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2548 | [ 3933s] | [ 3933s] 2549 | return (t); [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2550 | } [ 3933s] | ~ [ 3933s] 2551 | [ 3933s] | [ 3933s] 2552 | /* sin(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 2553 | * Return sine function of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2554 | * [ 3933s] | ~ [ 3933s] 2555 | * kernel function: [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2556 | * __kernel_sin ... sine function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2557 | * __kernel_cos ... cose function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2558 | * __ieee754_rem_pio2 ... argument reduction routine [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2559 | * [ 3933s] | ~ [ 3933s] 2560 | * Method. [ 3933s] | ~~~~~~~~~ [ 3933s] 2561 | * Let S,C and T denote the sin, cos and tan respectively on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2562 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2563 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2564 | * We have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2565 | * [ 3933s] | ~ [ 3933s] 2566 | * n sin(x) cos(x) tan(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2567 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2568 | * 0 S C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2569 | * 1 C -S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2570 | * 2 -S -C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2571 | * 3 -C S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2572 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2573 | * [ 3933s] | ~ [ 3933s] 2574 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2575 | * Let trig be any of sin, cos, or tan. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2576 | * trig(+-INF) is NaN, with signals; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2577 | * trig(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2578 | * [ 3933s] | ~ [ 3933s] 2579 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2580 | * TRIG(x) returns trig(x) nearly rounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2581 | */ [ 3933s] | ~~ [ 3933s] 2582 | double sin(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2583 | { [ 3933s] | ~ [ 3933s] 2584 | double y[2], z = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2585 | int32_t n, ix; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2586 | [ 3933s] | [ 3933s] 2587 | /* High word of x. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2588 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2589 | [ 3933s] | [ 3933s] 2590 | /* |x| ~< pi/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2591 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2592 | if (ix <= 0x3FE921FB) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2593 | return __kernel_sin(x, z, 0); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2594 | } else if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2595 | /* sin(Inf or NaN) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2596 | return x - x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2597 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2598 | /* argument reduction needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2599 | n = __ieee754_rem_pio2(x, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2600 | switch (n & 3) { [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2601 | case 0: [ 3933s] | ~~~~~~~ [ 3933s] 2602 | return __kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2603 | case 1: [ 3933s] | ~~~~~~~ [ 3933s] 2604 | return __kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2605 | case 2: [ 3933s] | ~~~~~~~ [ 3933s] 2606 | return -__kernel_sin(y[0], y[1], 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2607 | default: [ 3933s] | ~~~~~~~~ [ 3933s] 2608 | return -__kernel_cos(y[0], y[1]); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2609 | } [ 3933s] | ~ [ 3933s] 2610 | } [ 3933s] | ~ [ 3933s] 2611 | } [ 3933s] | ~ [ 3933s] 2612 | [ 3933s] | [ 3933s] 2613 | /* tan(x) [ 3933s] | ~~~~~~~~~ [ 3933s] 2614 | * Return tangent function of x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2615 | * [ 3933s] | ~ [ 3933s] 2616 | * kernel function: [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2617 | * __kernel_tan ... tangent function on [-pi/4,pi/4] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2618 | * __ieee754_rem_pio2 ... argument reduction routine [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2619 | * [ 3933s] | ~ [ 3933s] 2620 | * Method. [ 3933s] | ~~~~~~~~~ [ 3933s] 2621 | * Let S,C and T denote the sin, cos and tan respectively on [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2622 | * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2623 | * in [-pi/4 , +pi/4], and let n = k mod 4. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2624 | * We have [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2625 | * [ 3933s] | ~ [ 3933s] 2626 | * n sin(x) cos(x) tan(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2627 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2628 | * 0 S C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2629 | * 1 C -S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2630 | * 2 -S -C T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2631 | * 3 -C S -1/T [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2632 | * ---------------------------------------------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2633 | * [ 3933s] | ~ [ 3933s] 2634 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2635 | * Let trig be any of sin, cos, or tan. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2636 | * trig(+-INF) is NaN, with signals; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2637 | * trig(NaN) is that NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2638 | * [ 3933s] | ~ [ 3933s] 2639 | * Accuracy: [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2640 | * TRIG(x) returns trig(x) nearly rounded [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2641 | */ [ 3933s] | ~~ [ 3933s] 2642 | double tan(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2643 | { [ 3933s] | ~ [ 3933s] 2644 | double y[2], z = 0.0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2645 | int32_t n, ix; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2646 | [ 3933s] | [ 3933s] 2647 | /* High word of x. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2648 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2649 | [ 3933s] | [ 3933s] 2650 | /* |x| ~< pi/4 */ [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2651 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2652 | if (ix <= 0x3FE921FB) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2653 | return __kernel_tan(x, z, 1); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2654 | } else if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2655 | /* tan(Inf or NaN) is NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2656 | return x - x; /* NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2657 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2658 | /* argument reduction needed */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2659 | n = __ieee754_rem_pio2(x, y); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2660 | /* 1 -> n even, -1 -> n odd */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2661 | return __kernel_tan(y[0], y[1], 1 - ((n & 1) << 1)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2662 | } [ 3933s] | ~ [ 3933s] 2663 | } [ 3933s] | ~ [ 3933s] 2664 | [ 3933s] | [ 3933s] 2665 | /* [ 3933s] | ~~ [ 3933s] 2666 | * ES6 draft 09-27-13, section 20.2.2.12. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2667 | * Math.cosh [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2668 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2669 | * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2670 | * 1. Replace x by |x| (cosh(x) = cosh(-x)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2671 | * 2. [ 3933s] | ~~~~~~~~~ [ 3933s] 2672 | * [ exp(x) - 1 ]^2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2673 | * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2674 | * 2*exp(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2675 | * [ 3933s] | ~ [ 3933s] 2676 | * exp(x) + 1/exp(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2677 | * ln2/2 <= x <= 22 : cosh(x) := ------------------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2678 | * 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2679 | * 22 <= x <= lnovft : cosh(x) := exp(x)/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2680 | * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2681 | * ln2ovft < x : cosh(x) := huge*huge (overflow) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2682 | * [ 3933s] | ~ [ 3933s] 2683 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2684 | * cosh(x) is |x| if x is +INF, -INF, or NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2685 | * only cosh(0)=1 is exact for finite x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2686 | */ [ 3933s] | ~~ [ 3933s] 2687 | double cosh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2688 | { [ 3933s] | ~ [ 3933s] 2689 | constexpr double KCOSH_OVERFLOW = 710.4758600739439; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2690 | constexpr double one = 1.0, half = 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2691 | constexpr volatile double huge = 1.0e+300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2692 | [ 3933s] | [ 3933s] 2693 | int32_t ix; [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2694 | [ 3933s] | [ 3933s] 2695 | /* High word of |x|. */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2696 | GET_HIGH_WORD(ix, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2697 | ix &= 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2698 | [ 3933s] | [ 3933s] 2699 | // |x| in [0,0.5*log2], return 1+expm1(|x|)^2/(2*exp(|x|)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2700 | if (ix < 0x3FD62E43) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2701 | double t = expm1(fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2702 | double w = one + t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2703 | // For |x| < 2^-55, cosh(x) = 1 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2704 | if (ix < 0x3C800000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2705 | return w; [ 3933s] | ~~~~~~~~~ [ 3933s] 2706 | return one + (t * t) / (w + w); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2707 | } [ 3933s] | ~ [ 3933s] 2708 | [ 3933s] | [ 3933s] 2709 | // |x| in [0.5*log2, 22], return (exp(|x|)+1/exp(|x|)/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2710 | if (ix < 0x40360000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2711 | double t = exp(fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2712 | return half * t + half / t; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2713 | } [ 3933s] | ~ [ 3933s] 2714 | [ 3933s] | [ 3933s] 2715 | // |x| in [22, log(maxdouble)], return half*exp(|x|) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2716 | if (ix < 0x40862E42) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2717 | return half * exp(fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2718 | [ 3933s] | [ 3933s] 2719 | // |x| in [log(maxdouble), overflowthreshold] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2720 | if (fabs(x) <= KCOSH_OVERFLOW) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2721 | double w = exp(half * fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2722 | double t = half * w; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2723 | return t * w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2724 | } [ 3933s] | ~ [ 3933s] 2725 | [ 3933s] | [ 3933s] 2726 | /* x is INF or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2727 | if (ix >= 0x7FF00000) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2728 | return x * x; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2729 | [ 3933s] | [ 3933s] 2730 | // |x| > overflowthreshold. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2731 | return huge * huge; [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2732 | } [ 3933s] | ~ [ 3933s] 2733 | [ 3933s] | [ 3933s] 2734 | /* [ 3933s] | ~~ [ 3933s] 2735 | * ES6 draft 09-27-13, section 20.2.2.30. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2736 | * Math.sinh [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2737 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2738 | * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2739 | * 1. Replace x by |x| (sinh(-x) = -sinh(x)). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2740 | * 2. [ 3933s] | ~~~~~~~~~ [ 3933s] 2741 | * E + E/(E+1) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2742 | * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2743 | * 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2744 | * [ 3933s] | ~ [ 3933s] 2745 | * 22 <= x <= lnovft : sinh(x) := exp(x)/2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2746 | * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2747 | * ln2ovft < x : sinh(x) := x*shuge (overflow) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2748 | * [ 3933s] | ~ [ 3933s] 2749 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2750 | * sinh(x) is |x| if x is +Infinity, -Infinity, or NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2751 | * only sinh(0)=0 is exact for finite x. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2752 | */ [ 3933s] | ~~ [ 3933s] 2753 | double sinh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2754 | { [ 3933s] | ~ [ 3933s] 2755 | constexpr double KSINH_OVERFLOW = 710.4758600739439, [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2756 | TWO_M28 = 3.725290298461914e-9, // 2^-28, empty lower half [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2757 | LOG_MAXD = 709.7822265625; // 0x40862E42 00000000, empty lower half [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2758 | constexpr double shuge = 1.0e307; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2759 | [ 3933s] | [ 3933s] 2760 | double h = (x < 0) ? -0.5 : 0.5; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2761 | // |x| in [0, 22]. return sign(x)*0.5*(E+E/(E+1)) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2762 | double ax = fabs(x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2763 | if (ax < 22) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2764 | // For |x| < 2^-28, sinh(x) = x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2765 | if (ax < TWO_M28) [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2766 | return x; [ 3933s] | ~~~~~~~~~ [ 3933s] 2767 | double t = expm1(ax); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2768 | if (ax < 1) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2769 | return h * (2 * t - t * t / (t + 1)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2770 | } [ 3933s] | ~ [ 3933s] 2771 | return h * (t + t / (t + 1)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2772 | } [ 3933s] | ~ [ 3933s] 2773 | // |x| in [22, log(maxdouble)], return 0.5 * exp(|x|) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2774 | if (ax < LOG_MAXD) [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2775 | return h * exp(ax); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2776 | // |x| in [log(maxdouble), overflowthreshold] [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2777 | // overflowthreshold = 710.4758600739426 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2778 | if (ax <= KSINH_OVERFLOW) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2779 | double w = exp(0.5 * ax); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2780 | double t = h * w; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2781 | return t * w; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2782 | } [ 3933s] | ~ [ 3933s] 2783 | // |x| > overflowthreshold or is NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2784 | // Return Infinity of the appropriate sign or NaN. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2785 | return x * shuge; [ 3933s] | ~~~~~~~~~~~~~~~~~ [ 3933s] 2786 | } [ 3933s] | ~ [ 3933s] 2787 | [ 3933s] | [ 3933s] 2788 | /* Tanh(x) [ 3933s] | ~~~~~~~~~~ [ 3933s] 2789 | * Return the Hyperbolic Tangent of x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2790 | * [ 3933s] | ~ [ 3933s] 2791 | * Method : [ 3933s] | ~~~~~~~~~~ [ 3933s] 2792 | * x -x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2793 | * e - e [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2794 | * 0. tanh(x) is defined to be ----------- [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2795 | * x -x [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2796 | * e + e [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2797 | * 1. reduce x to non-negative by tanh(-x) = -tanh(x). [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2798 | * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2799 | * -t [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2800 | * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2801 | * t + 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2802 | * 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2803 | * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2804 | * t + 2 [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2805 | * 22 <= x <= INF : tanh(x) := 1. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2806 | * [ 3933s] | ~ [ 3933s] 2807 | * Special cases: [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2808 | * tanh(NaN) is NaN; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2809 | * only tanh(0)=0 is exact for finite argument. [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2810 | */ [ 3933s] | ~~ [ 3933s] 2811 | double tanh(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2812 | { [ 3933s] | ~ [ 3933s] 2813 | constexpr volatile double tiny = 1.0e-300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2814 | constexpr double one = 1.0, two = 2.0, huge = 1.0e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2815 | double t, z; [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2816 | int32_t jx, ix; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2817 | [ 3933s] | [ 3933s] 2818 | GET_HIGH_WORD(jx, x); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2819 | ix = jx & 0x7FFFFFFF; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2820 | [ 3933s] | [ 3933s] 2821 | /* x is INF or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2822 | if (ix >= 0x7FF00000) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2823 | if (jx >= 0) [ 3933s] | ~~~~~~~~~~~~ [ 3933s] 2824 | return one / x + one; /* tanh(+-inf)=+-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2825 | else [ 3933s] | ~~~~ [ 3933s] 2826 | return one / x - one; /* tanh(NaN) = NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2827 | } [ 3933s] | ~ [ 3933s] 2828 | [ 3933s] | [ 3933s] 2829 | /* |x| < 22 */ [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2830 | if (ix < 0x40360000) { /* |x|<22 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2831 | if (ix < 0x3E300000 && huge + x > one) { /* |x|<2**-28 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2832 | return x; /* tanh(tiny) = tiny with inexact */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2833 | } [ 3933s] | ~ [ 3933s] 2834 | if (ix >= 0x3FF00000) { /* |x|>=1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2835 | t = expm1(two * fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2836 | z = one - two / (t + two); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2837 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2838 | t = expm1(-two * fabs(x)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2839 | z = -t / (t + two); [ 3933s] | ~~~~~~~~~~~~~~~~~~~ [ 3933s] 2840 | } [ 3933s] | ~ [ 3933s] 2841 | /* |x| >= 22, return +-1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2842 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2843 | z = one - tiny; /* raise inexact flag */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2844 | } [ 3933s] | ~ [ 3933s] 2845 | return (jx >= 0) ? z : -z; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2846 | } [ 3933s] | ~ [ 3933s] 2847 | [ 3933s] | [ 3933s] 2848 | double ceil(double x) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2849 | { [ 3933s] | ~ [ 3933s] 2850 | constexpr double huge = 1.0e300; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2851 | int i0, i1, j0; [ 3933s] | ~~~~~~~~~~~~~~~ [ 3933s] 2852 | unsigned i, j; [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2853 | i0 = __HI(x); [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2854 | i1 = __LO(x); [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2855 | j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2856 | if (j0 < 20) { [ 3933s] | ~~~~~~~~~~~~~~ [ 3933s] 2857 | if (j0 < 0) { /* raise inexact if x != 0 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2858 | if (huge + x > 0.0) { /* return 0*sign(x) if |x|<1 */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2859 | if (i0 < 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2860 | i0 = 0x80000000; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2861 | i1 = 0; [ 3933s] | ~~~~~~~ [ 3933s] 2862 | } else if ((i0 | i1) != 0) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2863 | i0 = 0x3ff00000; [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2864 | i1 = 0; [ 3933s] | ~~~~~~~ [ 3933s] 2865 | } [ 3933s] | ~ [ 3933s] 2866 | } [ 3933s] | ~ [ 3933s] 2867 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2868 | i = (0x000fffff) >> j0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2869 | if (((i0 & i) | i1) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2870 | return x; /* x is integral */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2871 | if (huge + x > 0.0) { /* raise inexact flag */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2872 | if (i0 > 0) [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2873 | i0 += (0x00100000) >> j0; [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2874 | i0 &= (~i); [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2875 | i1 = 0; [ 3933s] | ~~~~~~~ [ 3933s] 2876 | } [ 3933s] | ~ [ 3933s] 2877 | } [ 3933s] | ~ [ 3933s] 2878 | } else if (j0 > 51) { [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2879 | if (j0 == 0x400) [ 3933s] | ~~~~~~~~~~~~~~~~ [ 3933s] 2880 | return x + x; /* inf or NaN */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2881 | else [ 3933s] | ~~~~ [ 3933s] 2882 | return x; /* x is integral */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2883 | } else { [ 3933s] | ~~~~~~~~ [ 3933s] 2884 | i = ((unsigned)(0xffffffff)) >> (j0 - 20); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2885 | if ((i1 & i) == 0) [ 3933s] | ~~~~~~~~~~~~~~~~~~ [ 3933s] 2886 | return x; /* x is integral */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2887 | if (huge + x > 0.0) { /* raise inexact flag */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2888 | if (i0 > 0) { [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2889 | if (j0 == 20) [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2890 | i0 += 1; [ 3933s] | ~~~~~~~~ [ 3933s] 2891 | else { [ 3933s] | ~~~~~~ [ 3933s] 2892 | j = i1 + (1 << (52 - j0)); [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2893 | if (j < (unsigned)i1) [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2894 | i0 += 1; /* got a carry */ [ 3933s] | ~~~~~~~~~~~~~~~~~~~~~~~~~~ [ 3933s] 2895 | i1 = j; [ 3933s] | ~~~~~~~ [ 3933s] 2896 | } [ 3933s] | ~ [ 3933s] 2897 | } [ 3933s] | ~ [ 3933s] 2898 | i1 &= (~i); [ 3933s] | ~~~~~~~~~~~ [ 3933s] 2899 | } [ 3933s] | ~ [ 3933s] 2900 | } [ 3933s] | ~ [ 3933s] 2901 | __HI(x) = i0; [ 3933s] | ~~~~~~~~~~~~~ [ 3933s] 2902 | __LO(x) = i1; [ 3933s] | ~~~~~~ [ 3933s] third_party/escargot/src/runtime/IEEE754.cpp:2902:5: note: in expansion of macro '__LO' [ 3933s] 2902 | __LO(x) = i1; [ 3933s] | ^~~~ [ 3933s] [1022/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/JobQueue.cpp.o [ 3934s] [1023/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/interpreter/ByteCodeInterpreter.cpp.o [ 3934s] [1024/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/GlobalObjectBuiltinJSON.cpp.o [ 3934s] [1025/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IteratorObject.cpp.o [ 3934s] [1026/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IntlPluralRules.cpp.o [ 3934s] [1027/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/IntlCollator.cpp.o [ 3934s] [1028/1134] Building CXX object 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third_party/escargot/CMakeFiles/escargot.dir/src/runtime/TypedArrayObject.cpp.o [ 3937s] [1125/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/Intl.cpp.o [ 3938s] [1126/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrSyntaxChecker.cpp.o [ 3938s] [1127/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/VMInstance.cpp.o [ 3938s] [1128/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/lz4/lz4.cpp.o [ 3938s] [1129/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrInterpreter.cpp.o [ 3942s] [1130/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/runtime/StaticStrings.cpp.o [ 3943s] [1131/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/src/parser/esprima_cpp/esprima.cpp.o [ 3956s] [1132/1134] Building CXX object third_party/escargot/CMakeFiles/escargot.dir/third_party/yarr/YarrUnicodeProperties.cpp.o [ 3957s] [1133/1134] Linking CXX static library out_tizen/unified_wearable/release/lib/libescargot.a [ 4108s] [1134/1134] Linking CXX shared library out_tizen/unified_wearable/release/lib/liblightweight-web-engine-dali-plugin.wearable.so [ 4108s] + rm -f CMakeCache.txt [ 4108s] + cmake CMakeLists.txt -DTIZEN_MAJOR_VERSION=6 -DMODE=release -DHOST=tizen -DARCH=i686 -DCUSTOM=unified_wearable -DBACKEND=efl_cairo -DLTO=1 -DTARGETNAME=lightweight-web-engine.wearable -G Ninja [ 4108s] -- The C compiler identification is GNU 9.2.0 [ 4108s] -- The CXX compiler identification is GNU 9.2.0 [ 4108s] -- Check for working C compiler: /bin/cc [ 4108s] -- Check for working C compiler: /bin/cc -- works [ 4108s] -- Detecting C compiler ABI info [ 4108s] -- Detecting C compiler ABI info - done [ 4108s] -- Detecting C compile features [ 4108s] -- Detecting C compile features - done [ 4108s] -- Check for working CXX compiler: /bin/c++ [ 4108s] -- Check for working CXX compiler: /bin/c++ -- works [ 4108s] -- Detecting CXX compiler ABI info [ 4108s] -- Detecting CXX compiler ABI info - done [ 4108s] -- Detecting CXX compile features [ 4108s] -- Detecting CXX compile features - done [ 4108s] -- Found PkgConfig: /bin/pkg-config (found version "0.28") [ 4108s] -- Checking for modules 'libpng;freetype2;fontconfig;harfbuzz;elementary;ecore;ecore-imf' [ 4108s] -- Found libpng, version 1.6.37 [ 4108s] -- Found freetype2, version 23.1.17 [ 4108s] -- Found fontconfig, version 2.13.1 [ 4108s] -- Found harfbuzz, version 2.6.4 [ 4108s] -- Found elementary, version 1.25.0 [ 4108s] -- Found ecore, version 1.25.0 [ 4108s] -- Found ecore-imf, version 1.25.0 [ 4108s] -- Checking for module 'ecore-imf-evas' [ 4108s] -- Found ecore-imf-evas, version 1.25.0 [ 4108s] -- Checking for module 'libtbm' [ 4108s] -- Found libtbm, version 3.0.0 [ 4108s] -- Checking for module 'cairo' [ 4108s] -- Found cairo, version 1.14.2 [ 4108s] -- Checking for modules 'dlog;capi-media-player;capi-media-sound-manager;capi-system-info;capi-system-device' [ 4109s] -- Found dlog, version 1.0 [ 4109s] -- Found capi-media-player, version [ 4109s] -- Found capi-media-sound-manager, version 0.0.1 [ 4109s] -- Found capi-system-info, version 0.2.0 [ 4109s] -- Found capi-system-device, version [ 4109s] -- Checking for module 'bundle' [ 4109s] -- Found bundle, version 0.5.5 [ 4109s] -- Looking for cap_set_flag in cap [ 4109s] -- Looking for cap_set_flag in cap - not found [ 4109s] -- Checking for module 'dlog' [ 4109s] -- Found dlog, version 1.0 [ 4109s] -- Starfish [ 4109s] -- 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-feliminate-unused-debug-types--param=ssp-buffer-size=4-fdiagnostics-color=never-m32-march=i686-mtune=i686-msse4.2-mfpmath=sse-fasynchronous-unwind-tables-fno-omit-frame-pointer-mstackrealign-Wl,-z,noseparate-code-g-DSTARFISH_TIZEN_MAJOR_VERSION=6-DSTARFISH_TIZEN_VERSION_6_0-Os [ 4109s] -- 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 [ 4109s] -- 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 [ 4109s] -- LDFLAGS: -Wl,--gc-sections-Wl,-rpath=/usr/local/lib-flto [ 4109s] -- 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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/fribidi/usr/include/harfbuzz/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/freetype2/usr/include/libpng16/usr/include/fribidi/usr/include/harfbuzz/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/i686/release/include [ 4109s] -- Configuring done [ 4109s] -- Generating done [ 4109s] -- Build files have been written to: /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4109s] + ninja starfish.shared_library [ 4109s] [1/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceOptionsBinding.cpp.o [ 4109s] [2/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioBufferSourceNodeBinding.cpp.o [ 4109s] [3/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioContextOptionsBinding.cpp.o [ 4109s] [4/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioNodeBinding.cpp.o [ 4109s] [5/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/AudioScheduledSourceNodeBinding.cpp.o [ 4109s] [6/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/binding/BaseAudioContextBinding.cpp.o [ 4109s] [7/875] Building CXX object 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CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPResponse.cpp.o [ 4159s] [846/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/public/DeviceInfo.cpp.o [ 4159s] [847/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/curl/NetworkSharedResourceManager.cpp.o [ 4159s] [848/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPHeaderMap.cpp.o [ 4159s] [849/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPTransaction.cpp.o [ 4159s] [850/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/network/http/HTTPUtil.cpp.o [ 4159s] [851/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/VirtualCursorData.cpp.o [ 4159s] [852/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/font/FontImplCairo.cpp.o [ 4159s] [853/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/FontResource.cpp.o [ 4159s] [854/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/TextResource.cpp.o [ 4159s] [855/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ElementResourceClient.cpp.o [ 4160s] [856/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGL.cpp.o [ 4160s] [857/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/canvas/image/SVGNativeImageDataImpl.cpp.o [ 4160s] [858/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWE.cpp.o [ 4160s] [859/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplHeadless.cpp.o [ 4160s] [860/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/JavaScriptNativeHandler.cpp.o [ 4160s] [861/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/dali/LWEWebViewDALi.cpp.o [ 4160s] [862/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/glfw/LWEWebViewGLFW.cpp.o [ 4160s] [863/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/ecore_wayland2/LWEWebViewEcoreWayland2.cpp.o [ 4160s] [864/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/loader/ImageResource.cpp.o [ 4160s] [865/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/bridge/efl/LWEWebViewEFL.cpp.o [ 4160s] [866/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/WindowImplGB.cpp.o [ 4160s] [867/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionManager.cpp.o [ 4160s] [868/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/ExtensionAdapter.cpp.o [ 4160s] [869/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/WebWidgetAPIInstance.cpp.o [ 4160s] [870/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/platform/window/PlatformWindow.cpp.o [ 4161s] [871/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/Extension.cpp.o [ 4161s] [872/875] Building CXX object CMakeFiles/starfish_object_library.dir/third_party/deviceapi/src/TizenDeviceAPILoaderForEscargot.cpp.o [ 4161s] [873/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/public/LWEWebContainer.cpp.o [ 4163s] [874/875] Building CXX object CMakeFiles/starfish_object_library.dir/src/core/style/Style.cpp.o [ 4314s] [875/875] Linking CXX shared library out_tizen/unified_wearable/release/lib/liblightweight-web-engine.wearable.so [ 4314s] + ninja starfish.executable [ 4315s] [1/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/testRunner.cpp.o [ 4316s] [2/3] Building CXX object CMakeFiles/starfish.executable.dir/src/shell/shell.cpp.o [ 4467s] [3/3] Linking CXX executable out_tizen/unified_wearable/release/lightweight-web-engine.wearable [ 4467s] + exit 0 [ 4467s] Executing(%install): /bin/sh -e /var/tmp/rpm-tmp.eNo028 [ 4467s] + umask 022 [ 4467s] + cd /home/abuild/rpmbuild/BUILD [ 4467s] + cd lightweight-web-engine-1.0.0 [ 4467s] + LANG=C [ 4467s] + export LANG [ 4467s] + unset DISPLAY [ 4467s] + rm -rf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 [ 4467s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 [ 4467s] + rm -rf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 [ 4467s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe [ 4467s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/bin [ 4467s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386//usr/lib/lwe/tv [ 4467s] + 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-1.0.0-1.i386/usr/lib/lwe/tv [ 4467s] + 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-1.0.0-1.i386/usr/lib/lwe/tv [ 4469s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386//usr/lib/lwe/mobile [ 4469s] + 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-1.0.0-1.i386/usr/lib/lwe/mobile [ 4470s] + 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-1.0.0-1.i386/usr/lib/lwe/mobile [ 4472s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386//usr/lib/lwe/wearable [ 4472s] + 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-1.0.0-1.i386/usr/lib/lwe/wearable [ 4473s] + 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-1.0.0-1.i386/usr/lib/lwe/wearable [ 4474s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/include/lightweight-web-engine [ 4474s] + cp inc/LWEWebView.h /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/include/lightweight-web-engine/ [ 4474s] + cp inc/PlatformIntegrationData.h /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/include/lightweight-web-engine/ [ 4474s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/pkgconfig/ [ 4474s] + cp lightweight-web-engine.pc lightweight-web-engine-dali-plugin.pc /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/pkgconfig/ [ 4474s] + mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/etc/ld.so.conf.d/ [ 4474s] + cp lightweight-web-engine.conf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/etc/ld.so.conf.d/ [ 4474s] + pushd /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe [ 4474s] ~/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4474s] + rm -fr '*.so*' [ 4474s] + ln -s liblightweight-web-engine.so.1 liblightweight-web-engine.so [ 4474s] + ln -s liblightweight-web-engine-dali-plugin.so.1 liblightweight-web-engine-dali-plugin.so [ 4474s] + popd [ 4474s] ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4474s] + pushd /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib [ 4474s] ~/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4474s] + ln -s lwe/liblightweight-web-engine.so liblightweight-web-engine.so [ 4474s] + ln -s lwe/liblightweight-web-engine-dali-plugin.so liblightweight-web-engine-dali-plugin.so [ 4474s] + popd [ 4474s] ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4474s] + /usr/lib/rpm/find-debuginfo.sh /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4475s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/libclipper.so [ 4475s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/liblightweight-web-engine-dali-plugin.mobile.so [ 4478s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/liblightweight-web-engine.mobile.so [ 4482s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/libmp4parse.so [ 4482s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/libskia_matrix.so [ 4482s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/libtuv.so [ 4482s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/mobile/libwebm.so [ 4482s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/libclipper.so [ 4482s] *** WARNING: identical binaries are copied, not linked: [ 4482s] /usr/lib/lwe/tv/libclipper.so [ 4482s] and /usr/lib/lwe/mobile/libclipper.so [ 4482s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/liblightweight-web-engine-dali-plugin.tv.so [ 4485s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/liblightweight-web-engine.tv.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/libmp4parse.so [ 4489s] *** WARNING: identical binaries are copied, not linked: [ 4489s] /usr/lib/lwe/tv/libmp4parse.so [ 4489s] and /usr/lib/lwe/mobile/libmp4parse.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/libskia_matrix.so [ 4489s] *** WARNING: identical binaries are copied, not linked: [ 4489s] /usr/lib/lwe/tv/libskia_matrix.so [ 4489s] and /usr/lib/lwe/mobile/libskia_matrix.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/libtuv.so [ 4489s] *** WARNING: identical binaries are copied, not linked: [ 4489s] /usr/lib/lwe/tv/libtuv.so [ 4489s] and /usr/lib/lwe/mobile/libtuv.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/libwebm.so [ 4489s] *** WARNING: identical binaries are copied, not linked: [ 4489s] /usr/lib/lwe/tv/libwebm.so [ 4489s] and /usr/lib/lwe/mobile/libwebm.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/tv/libwebrtc.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/libclipper.so [ 4489s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/liblightweight-web-engine-dali-plugin.wearable.so [ 4492s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/liblightweight-web-engine.wearable.so [ 4495s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/libmp4parse.so [ 4495s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/libskia_matrix.so [ 4495s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/libtuv.so [ 4495s] *** WARNING: identical binaries are copied, not linked: [ 4495s] /usr/lib/lwe/wearable/libtuv.so [ 4495s] and /usr/lib/lwe/mobile/libtuv.so [ 4495s] extracting debug info from /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/lib/lwe/wearable/libwebm.so [ 4496s] 47739 blocks [ 4496s] + cp /usr/lib/rpm/debug.manifest /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/lightweight-web-engine-debuginfo.manifest [ 4496s] + cp /usr/lib/rpm/debug.manifest /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/lightweight-web-engine-debugsource.manifest [ 4496s] + /usr/lib/rpm/check-buildroot [ 4496s] + /usr/lib/rpm//brp-compress [ 4496s] + /usr/lib/rpm/brp-strip-static-archive /bin/strip [ 4500s] + /usr/lib/rpm/brp-python-hardlink [ 4500s] + /usr/lib/rpm/tizen/find-docs.sh /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 [ 4500s] + /usr/lib/rpm/tizen/find-isufiles.sh /home/abuild/rpmbuild/BUILD/lightweight-web-engine-1.0.0/isu.list [ 4500s] ~/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4500s] ~/rpmbuild/BUILD/lightweight-web-engine-1.0.0 [ 4500s] Processing files: lightweight-web-engine-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4500s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4500s] [ 4500s] Provides: lightweight-web-engine = 1.0.0-1 lightweight-web-engine(x86-32) = 1.0.0-1 [ 4500s] Requires(interp): /bin/sh /bin/sh [ 4500s] Requires(rpmlib): rpmlib(PayloadFilesHavePrefix) <= 4.0-1 rpmlib(CompressedFileNames) <= 3.0.4-1 [ 4500s] Requires(post): /sbin/ldconfig /bin/sh [ 4500s] Requires(postun): /sbin/ldconfig /bin/sh [ 4500s] Processing files: lightweight-web-engine-debugsource-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4500s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4500s] [ 4500s] Provides: lightweight-web-engine-debugsource = 1.0.0-1 lightweight-web-engine-debugsource(x86-32) = 1.0.0-1 [ 4500s] Requires(rpmlib): rpmlib(PayloadFilesHavePrefix) <= 4.0-1 rpmlib(CompressedFileNames) <= 3.0.4-1 [ 4500s] Processing files: lightweight-web-engine-profile_tv-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4500s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4500s] [ 4500s] Executing(%license): /bin/sh -e /var/tmp/rpm-tmp.Kq1Wm7 [ 4500s] + umask 022 [ 4500s] + cd /home/abuild/rpmbuild/BUILD [ 4500s] + cd lightweight-web-engine-1.0.0 [ 4500s] + LICENSEDIR=/home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + export LICENSEDIR [ 4500s] + /bin/mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.LGPL-2.1+ /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.BSD-3-Clause /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.BSL-1.0 /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.ISC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.Zlib /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.BOEHM-GC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.NCSA /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.ICU /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + cp -pr LICENSE.Old-MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_tv [ 4500s] + exit 0 [ 4500s] 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 = 1.0.0-1 lightweight-web-engine-profile_tv = 1.0.0-1 lightweight-web-engine-profile_tv(x86-32) = 1.0.0-1 [ 4500s] Requires(interp): /bin/sh [ 4500s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4500s] Requires(post): /bin/sh [ 4500s] Requires: ld-linux.so.2 ld-linux.so.2(GLIBC_2.1) ld-linux.so.2(GLIBC_2.3) libc.so.6 libc.so.6(GLIBC_2.0) libc.so.6(GLIBC_2.1) libc.so.6(GLIBC_2.1.2) libc.so.6(GLIBC_2.1.3) libc.so.6(GLIBC_2.11) libc.so.6(GLIBC_2.15) libc.so.6(GLIBC_2.17) libc.so.6(GLIBC_2.2) libc.so.6(GLIBC_2.27) libc.so.6(GLIBC_2.28) libc.so.6(GLIBC_2.3) libc.so.6(GLIBC_2.3.2) libc.so.6(GLIBC_2.3.4) 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_2.0) libdl.so.2(GLIBC_2.1) 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_7.0.0) libgcc_s.so.1(GLIBC_2.0) libgif.so.7 libharfbuzz.so.0 libjpeg.so.8 libjpeg.so.8(LIBJPEG_8.0) libm.so.6 libm.so.6(GLIBC_2.0) libm.so.6(GLIBC_2.1) libm.so.6(GLIBC_2.27) libm.so.6(GLIBC_2.29) libmp4parse.so libpng16.so.16 libpng16.so.16(PNG16_0) libpthread.so.0 libpthread.so.0(GLIBC_2.0) libpthread.so.0(GLIBC_2.1) libpthread.so.0(GLIBC_2.2) libpthread.so.0(GLIBC_2.2.3) libpthread.so.0(GLIBC_2.3.2) libpthread.so.0(GLIBC_2.3.3) 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(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 [ 4500s] Conflicts: lightweight-web-engine-profile_headless = 1.0.0-1 lightweight-web-engine-profile_mobile = 1.0.0-1 lightweight-web-engine-profile_wearable = 1.0.0-1 [ 4500s] Processing files: lightweight-web-engine-profile_mobile-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4500s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4500s] [ 4500s] Executing(%license): /bin/sh -e /var/tmp/rpm-tmp.DFrql9 [ 4500s] + umask 022 [ 4500s] + cd /home/abuild/rpmbuild/BUILD [ 4500s] + cd lightweight-web-engine-1.0.0 [ 4500s] + LICENSEDIR=/home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + export LICENSEDIR [ 4500s] + /bin/mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.LGPL-2.1+ /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.BSD-3-Clause /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.BSL-1.0 /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.ISC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.Zlib /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.BOEHM-GC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.NCSA /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.ICU /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + cp -pr LICENSE.Old-MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_mobile [ 4500s] + exit 0 [ 4500s] 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 = 1.0.0-1 lightweight-web-engine-profile_mobile = 1.0.0-1 lightweight-web-engine-profile_mobile(x86-32) = 1.0.0-1 [ 4500s] Requires(interp): /bin/sh [ 4500s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4500s] Requires(post): /bin/sh [ 4500s] Requires: ld-linux.so.2 ld-linux.so.2(GLIBC_2.1) ld-linux.so.2(GLIBC_2.3) libc.so.6 libc.so.6(GLIBC_2.0) libc.so.6(GLIBC_2.1) libc.so.6(GLIBC_2.1.3) 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_2.3) libc.so.6(GLIBC_2.3.2) libc.so.6(GLIBC_2.3.4) 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_2.0) libdl.so.2(GLIBC_2.1) 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_7.0.0) libgcc_s.so.1(GLIBC_2.0) libgif.so.7 libharfbuzz.so.0 libjpeg.so.8 libjpeg.so.8(LIBJPEG_8.0) libm.so.6 libm.so.6(GLIBC_2.0) libm.so.6(GLIBC_2.1) libm.so.6(GLIBC_2.29) libmp4parse.so libpng16.so.16 libpng16.so.16(PNG16_0) libpthread.so.0 libpthread.so.0(GLIBC_2.0) libpthread.so.0(GLIBC_2.1) libpthread.so.0(GLIBC_2.2) libpthread.so.0(GLIBC_2.2.3) libpthread.so.0(GLIBC_2.3.2) 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(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 [ 4500s] Conflicts: lightweight-web-engine-profile_tv = 1.0.0-1 lightweight-web-engine-profile_headless = 1.0.0-1 lightweight-web-engine-profile_wearable = 1.0.0-1 [ 4500s] Processing files: lightweight-web-engine-profile_wearable-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4500s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4500s] [ 4500s] Executing(%license): /bin/sh -e /var/tmp/rpm-tmp.hLiDdb [ 4500s] + umask 022 [ 4500s] + cd /home/abuild/rpmbuild/BUILD [ 4500s] + cd lightweight-web-engine-1.0.0 [ 4500s] + LICENSEDIR=/home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + export LICENSEDIR [ 4500s] + /bin/mkdir -p /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.LGPL-2.1+ /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.BSD-3-Clause /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.BSL-1.0 /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.ISC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.Zlib /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.BOEHM-GC /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.NCSA /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.ICU /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + cp -pr LICENSE.Old-MIT /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386/usr/share/licenses/lightweight-web-engine-profile_wearable [ 4500s] + exit 0 [ 4500s] 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 = 1.0.0-1 lightweight-web-engine-profile_wearable = 1.0.0-1 lightweight-web-engine-profile_wearable(x86-32) = 1.0.0-1 [ 4500s] Requires(interp): /bin/sh [ 4500s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4500s] Requires(post): /bin/sh [ 4500s] Requires: ld-linux.so.2 ld-linux.so.2(GLIBC_2.1) ld-linux.so.2(GLIBC_2.3) libbundle.so.0 libc.so.6 libc.so.6(GLIBC_2.0) libc.so.6(GLIBC_2.1) libc.so.6(GLIBC_2.1.3) 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_2.3) libc.so.6(GLIBC_2.3.2) libc.so.6(GLIBC_2.3.4) 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_2.0) libdl.so.2(GLIBC_2.1) 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_7.0.0) libgcc_s.so.1(GLIBC_2.0) libgif.so.7 libharfbuzz.so.0 libjpeg.so.8 libjpeg.so.8(LIBJPEG_8.0) libm.so.6 libm.so.6(GLIBC_2.0) libm.so.6(GLIBC_2.1) libm.so.6(GLIBC_2.29) libpng16.so.16 libpng16.so.16(PNG16_0) libpthread.so.0 libpthread.so.0(GLIBC_2.0) libpthread.so.0(GLIBC_2.1) libpthread.so.0(GLIBC_2.2) libpthread.so.0(GLIBC_2.2.3) libpthread.so.0(GLIBC_2.3.2) 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(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 [ 4500s] Conflicts: lightweight-web-engine-profile_tv = 1.0.0-1 lightweight-web-engine-profile_headless = 1.0.0-1 lightweight-web-engine-profile_mobile = 1.0.0-1 [ 4500s] Processing files: lightweight-web-engine-devel-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogICAgPHJlcXVlc3Q+CiAgICAgICAgPGRvbWFpbiBuYW1lPSJf [ 4500s] Ii8+CiAgICA8L3JlcXVlc3Q+CjwvbWFuaWZlc3Q+Cg== [ 4500s] [ 4500s] Provides: lightweight-web-engine-devel = 1.0.0-1 lightweight-web-engine-devel(x86-32) = 1.0.0-1 pkgconfig(lightweight-web-engine) = 0.0.1 pkgconfig(lightweight-web-engine-dali-plugin) = 0.0.1 [ 4500s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4500s] Requires: /usr/bin/pkg-config [ 4500s] Processing files: lightweight-web-engine-profile_tv-debuginfo-1.0.0-1.i686 [ 4500s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4500s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4500s] [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4500s] warning: File listed twice: /usr/lib/debug/.build-id [ 4502s] Provides: lightweight-web-engine-profile_tv-debuginfo = 1.0.0-1 lightweight-web-engine-profile_tv-debuginfo(x86-32) = 1.0.0-1 [ 4502s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4502s] Processing files: lightweight-web-engine-profile_mobile-debuginfo-1.0.0-1.i686 [ 4502s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4502s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4502s] [ 4502s] warning: File listed twice: /usr/lib/debug/.build-id [ 4502s] warning: File listed twice: /usr/lib/debug/.build-id [ 4502s] warning: File listed twice: /usr/lib/debug/.build-id [ 4502s] warning: File listed twice: /usr/lib/debug/.build-id [ 4502s] warning: File listed twice: /usr/lib/debug/.build-id [ 4502s] warning: File listed twice: /usr/lib/debug/.build-id [ 4503s] Provides: lightweight-web-engine-profile_mobile-debuginfo = 1.0.0-1 lightweight-web-engine-profile_mobile-debuginfo(x86-32) = 1.0.0-1 [ 4503s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4503s] Processing files: lightweight-web-engine-profile_wearable-debuginfo-1.0.0-1.i686 [ 4503s] Aptk: PG1hbmlmZXN0PgogPHJlcXVlc3Q+CiAgICA8ZG9tYWluIG5hbWU9Il8iLz4KIDwv [ 4503s] cmVxdWVzdD4KPC9tYW5pZmVzdD4K [ 4503s] [ 4503s] warning: File listed twice: /usr/lib/debug/.build-id [ 4503s] warning: File listed twice: /usr/lib/debug/.build-id [ 4503s] warning: File listed twice: /usr/lib/debug/.build-id [ 4503s] warning: File listed twice: /usr/lib/debug/.build-id [ 4503s] warning: File listed twice: /usr/lib/debug/.build-id [ 4503s] warning: File listed twice: /usr/lib/debug/.build-id [ 4504s] Provides: lightweight-web-engine-profile_wearable-debuginfo = 1.0.0-1 lightweight-web-engine-profile_wearable-debuginfo(x86-32) = 1.0.0-1 [ 4504s] Requires(rpmlib): rpmlib(CompressedFileNames) <= 3.0.4-1 rpmlib(PayloadFilesHavePrefix) <= 4.0-1 [ 4504s] Checking for unpackaged file(s): /usr/lib/rpm/check-files /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 [ 4506s] Wrote: /home/abuild/rpmbuild/SRPMS/lightweight-web-engine-1.0.0-1.src.rpm [ 4506s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-1.0.0-1.i686.rpm [ 4511s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-debugsource-1.0.0-1.i686.rpm [ 4520s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-profile_tv-1.0.0-1.i686.rpm [ 4528s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-profile_mobile-1.0.0-1.i686.rpm [ 4534s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-profile_wearable-1.0.0-1.i686.rpm [ 4534s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-devel-1.0.0-1.i686.rpm [ 4554s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-profile_tv-debuginfo-1.0.0-1.i686.rpm [ 4575s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-profile_mobile-debuginfo-1.0.0-1.i686.rpm [ 4589s] XZ: Adjusted the number of threads from 32 to 21 to not exceed the memory usage limit of 3758096381 bytesWrote: /home/abuild/rpmbuild/RPMS/i686/lightweight-web-engine-profile_wearable-debuginfo-1.0.0-1.i686.rpm [ 4589s] Executing(%clean): /bin/sh -e /var/tmp/rpm-tmp.OkvmC7 [ 4589s] + umask 022 [ 4589s] + cd /home/abuild/rpmbuild/BUILD [ 4589s] + cd lightweight-web-engine-1.0.0 [ 4589s] + /bin/rm -rf /home/abuild/rpmbuild/BUILDROOT/lightweight-web-engine-1.0.0-1.i386 [ 4589s] + exit 0 [ 4589s] ... checking for files with abuild user/group [ 4589s] ... creating baselibs [ 4589s] [ 4589s] ip-192-168-56-240 finished "build lightweight-web-engine.spec" at Mon Dec 2 01:13:27 UTC 2024. [ 4589s]