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The functions in this section are related to the exponential functions;
see section Exponentiation and Logarithms.
- Function: double sinh (double x)
-
- 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: double cosh (double x)
-
- 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: double tanh (double x)
-
- 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 double csinh (complex double z)
-
- 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 double ccosh (complex double z)
-
- 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 double ctanh (complex double z)
-
- 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: double asinh (double x)
-
- 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: double acosh (double 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: double atanh (double x)
-
- 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 double casinh (complex double z)
-
- 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 double cacosh (complex double 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 double catanh (complex double 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.
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