The functions in this section are related to the exponential functions; see Exponents and Logarithms.
— Function: float sinhf (float x)
— Function: long double sinhl (long double x)
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: float coshf (float x)
— Function: long double coshl (long double x)
These function return the hyperbolic cosine of x, defined mathematically as
(exp (
x) + exp (-
x)) / 2
. They may signal overflow if x is too large.
— Function: float tanhf (float x)
— Function: long double tanhl (long double x)
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 float csinhf (complex float z)
— Function: complex long double csinhl (complex long double z)
These functions return the complex hyperbolic sine of z, defined mathematically as
(exp (
z) - exp (-
z)) / 2
.
— Function: complex float ccoshf (complex float z)
— Function: complex long double ccoshl (complex long double z)
These functions return the complex hyperbolic cosine of z, defined mathematically as
(exp (
z) + exp (-
z)) / 2
.
— Function: complex float ctanhf (complex float z)
— Function: complex long double ctanhl (complex long double z)
These functions return the complex hyperbolic tangent of z, defined mathematically as
csinh (
z) / ccosh (
z)
.
— Function: float asinhf (float x)
— Function: long double asinhl (long double x)
These functions return the inverse hyperbolic sine of x—the value whose hyperbolic sine is x.
— Function: float acoshf (float x)
— Function: long double acoshl (long double x)
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: float atanhf (float x)
— Function: long double atanhl (long double x)
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 float casinhf (complex float z)
— Function: complex long double casinhl (complex long double z)
These functions return the inverse complex hyperbolic sine of z—the value whose complex hyperbolic sine is z.
— Function: complex float cacoshf (complex float z)
— Function: complex long double cacoshl (complex long double z)
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 float catanhf (complex float z)
— Function: complex long double catanhl (complex long double z)
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.