Contents

# Hyperbolic Functions

Many routines in the
Intel® oneAPI
DPC++/C++
Compiler
Math Library are more optimized for Intel® microprocessors than for non-Intel microprocessors.
The
mathimf.h
Intel® oneAPI
DPC++/C++
Compiler
Math Library functions.
The math library supports the following
hyperbolic
functions:
FP16 Math Functions have the following requirements:
• Version 2021.4 or higher of the Intel® oneAPI DPC++/C++ Compiler.
• A next-generation Intel® Xeon® Scalable processor, code name Sapphire Rapids.

## acosh

Description:
The
acosh
function returns the inverse hyperbolic cosine of
x
.
errno
: EDOM, for x < 1
Calling interface:
double acosh(double x);
long double acoshl(long double x);
float acoshf(float x);
_Float16 acoshf16(_Float16 x);

## asinh

Description:
The
asinh
function returns the inverse hyperbolic sine of
x
.
Calling interface:
double asinh(double x);
long double asinhl(long double x);
float asinhf(float x);
_Float16 asinhf16(_Float16 x);

## atanh

Description:
The
atanh
function returns the inverse hyperbolic tangent of
x
.
errno
:
EDOM, for |x| > 1
ERANGE, for x = 1
Calling interface:
double atanh(double x);
long double atanhl(long double x);
float atanhf(float x);
_Float16 atanhf16(_Float16 x);

## cosh

Description:
The
cosh
function returns the hyperbolic cosine of
x
, (
e
x
+
e
-x
)/2.
errno
: ERANGE, for overflow conditions
Calling interface:
double cosh(double x);
long double coshl(long double x);
float coshf(float x);
_Float16 coshf16(_Float16 x);

## sinh

Description:
The
sinh
function returns the hyperbolic sine of
x
, (
e
x
-
e
-x
)/2.
errno
: ERANGE, for overflow conditions
Calling interface:
double sinh(double x);
long double sinhl(long double x);
float sinhf(float x);
_Float16 sinhf16(_Float16 x);

## sinhcosh

Description:
The
sinhcosh
function returns both the hyperbolic sine and hyperbolic cosine of
x
.
errno
: ERANGE, for overflow conditions
Calling interface:
void sinhcosh(double x, double *sinval, double *cosval);
void sinhcoshl(long double x, long double *sinval, long double *cosval);
void sinhcoshf(float x, float *sinval, float *cosval);
void sinhcoshf16(_Float16 x, _Float16 *sinval, _Float16 *cosval);

## tanh

Description:
The
tanh
function returns the hyperbolic tangent of
x
, (
e
x
-
e
-x
) / (
e
x
+
e
-x
).
Calling interface:
double tanh(double x);
long double tanhl(long double x);
float tanhf(float x);
_Float16 tanhf16(_Float16 x);

#### Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.