19.5 Hyperbolic Functions
The functions in this section are related to the exponential functions;
see Exponents and Logarithms.
— Function: double
sinh (
double x)
— Function: float
sinhf (
float x)
— Function: long double
sinhl (
long double x)
— Function: _FloatN
sinhfN (
_FloatN x)
— Function: _FloatNx
sinhfNx (
_FloatNx x)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the hyperbolic sine of x, defined
mathematically as (exp (x) - exp (-x)) / 2. They
may signal overflow if x is too large.
— Function: double
cosh (
double x)
— Function: float
coshf (
float x)
— Function: long double
coshl (
long double x)
— Function: _FloatN
coshfN (
_FloatN x)
— Function: _FloatNx
coshfNx (
_FloatNx x)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the hyperbolic cosine of x,
defined mathematically as (exp (x) + exp (-x)) / 2.
They may signal overflow if x is too large.
— Function: double
tanh (
double x)
— Function: float
tanhf (
float x)
— Function: long double
tanhl (
long double x)
— Function: _FloatN
tanhfN (
_FloatN x)
— Function: _FloatNx
tanhfNx (
_FloatNx x)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the hyperbolic tangent of x,
defined mathematically as sinh (x) / cosh (x).
They may signal overflow if x is too large.
There are counterparts for the hyperbolic functions which take
complex arguments.
— Function: complex double
csinh (
complex double z)
— Function: complex float
csinhf (
complex float z)
— Function: complex long double
csinhl (
complex long double z)
— Function: complex _FloatN
csinhfN (
complex _FloatN z)
— Function: complex _FloatNx
csinhfNx (
complex _FloatNx z)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the complex hyperbolic sine of z, defined
mathematically as (exp (z) - exp (-z)) / 2.
— Function: complex double
ccosh (
complex double z)
— Function: complex float
ccoshf (
complex float z)
— Function: complex long double
ccoshl (
complex long double z)
— Function: complex _FloatN
ccoshfN (
complex _FloatN z)
— Function: complex _FloatNx
ccoshfNx (
complex _FloatNx z)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the complex hyperbolic cosine of z, defined
mathematically as (exp (z) + exp (-z)) / 2.
— Function: complex double
ctanh (
complex double z)
— Function: complex float
ctanhf (
complex float z)
— Function: complex long double
ctanhl (
complex long double z)
— Function: complex _FloatN
ctanhfN (
complex _FloatN z)
— Function: complex _FloatNx
ctanhfNx (
complex _FloatNx z)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the complex hyperbolic tangent of z,
defined mathematically as csinh (z) / ccosh (z).
— Function: double
asinh (
double x)
— Function: float
asinhf (
float x)
— Function: long double
asinhl (
long double x)
— Function: _FloatN
asinhfN (
_FloatN x)
— Function: _FloatNx
asinhfNx (
_FloatNx x)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the inverse hyperbolic sine of x—the
value whose hyperbolic sine is x.
— Function: double
acosh (
double x)
— Function: float
acoshf (
float x)
— Function: long double
acoshl (
long double x)
— Function: _FloatN
acoshfN (
_FloatN x)
— Function: _FloatNx
acoshfNx (
_FloatNx x)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the inverse hyperbolic cosine of x—the
value whose hyperbolic cosine is x. If x is less than
1, acosh signals a domain error.
— Function: double
atanh (
double x)
— Function: float
atanhf (
float x)
— Function: long double
atanhl (
long double x)
— Function: _FloatN
atanhfN (
_FloatN x)
— Function: _FloatNx
atanhfNx (
_FloatNx x)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the inverse hyperbolic tangent of x—the
value whose hyperbolic tangent is x. If the absolute value of
x is greater than 1, atanh signals a domain error;
if it is equal to 1, atanh returns infinity.
— Function: complex double
casinh (
complex double z)
— Function: complex float
casinhf (
complex float z)
— Function: complex long double
casinhl (
complex long double z)
— Function: complex _FloatN
casinhfN (
complex _FloatN z)
— Function: complex _FloatNx
casinhfNx (
complex _FloatNx z)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the inverse complex hyperbolic sine of
z—the value whose complex hyperbolic sine is z.
— Function: complex double
cacosh (
complex double z)
— Function: complex float
cacoshf (
complex float z)
— Function: complex long double
cacoshl (
complex long double z)
— Function: complex _FloatN
cacoshfN (
complex _FloatN z)
— Function: complex _FloatNx
cacoshfNx (
complex _FloatNx z)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the inverse complex hyperbolic cosine of
z—the value whose complex hyperbolic cosine is z. Unlike
the real-valued functions, there are no restrictions on the value of z.
— Function: complex double
catanh (
complex double z)
— Function: complex float
catanhf (
complex float z)
— Function: complex long double
catanhl (
complex long double z)
— Function: complex _FloatN
catanhfN (
complex _FloatN z)
— Function: complex _FloatNx
catanhfNx (
complex _FloatNx z)
Preliminary:
| MT-Safe
| AS-Safe
| AC-Safe
| See POSIX Safety Concepts.
These functions return the inverse complex hyperbolic tangent of
z—the value whose complex hyperbolic tangent is z. Unlike
the real-valued functions, there are no restrictions on the value of
z.