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The functions in this section are related to the exponential functions; see Exponentiation and Logarithms.

- Function:
*double***sinh***(double*¶`x`) - Function:
*float***sinhf***(float*¶`x`) - Function:
*long double***sinhl***(long double*¶`x`) - Function:
*_FloatN***sinhfN***(_Float*¶`N``x`) - Function:
*_FloatNx***sinhfNx***(_Float*¶`N`x`x`) -
Preliminary: | MT-Safe | AS-Safe | AC-Safe | See POSIX Safety Concepts.

These functions return the hyperbolic sine of

`x`, defined mathematically as`(exp (`

. They may signal overflow if`x`) - exp (-`x`)) / 2`x`is too large.

- Function:
*double***cosh***(double*¶`x`) - Function:
*float***coshf***(float*¶`x`) - Function:
*long double***coshl***(long double*¶`x`) - Function:
*_FloatN***coshfN***(_Float*¶`N``x`) - Function:
*_FloatNx***coshfNx***(_Float*¶`N`x`x`) -
Preliminary: | MT-Safe | AS-Safe | AC-Safe | See POSIX Safety Concepts.

These functions return the hyperbolic cosine of

`x`, defined mathematically as`(exp (`

. They may signal overflow if`x`) + exp (-`x`)) / 2`x`is too large.

- Function:
*double***tanh***(double*¶`x`) - Function:
*float***tanhf***(float*¶`x`) - Function:
*long double***tanhl***(long double*¶`x`) - Function:
*_FloatN***tanhfN***(_Float*¶`N``x`) - Function:
*_FloatNx***tanhfNx***(_Float*¶`N`x`x`) -
Preliminary: | MT-Safe | AS-Safe | AC-Safe | See POSIX Safety Concepts.

These functions return the hyperbolic tangent of

`x`, defined mathematically as`sinh (`

. They may signal overflow if`x`) / cosh (`x`)`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 _Float*¶`N``z`) - Function:
*complex _FloatNx***csinhfNx***(complex _Float*¶`N`x`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 _Float*¶`N``z`) - Function:
*complex _FloatNx***ccoshfNx***(complex _Float*¶`N`x`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 _Float*¶`N``z`) - Function:
*complex _FloatNx***ctanhfNx***(complex _Float*¶`N`x`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***(_Float*¶`N``x`) - Function:
*_FloatNx***asinhfNx***(_Float*¶`N`x`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***(_Float*¶`N``x`) - Function:
*_FloatNx***acoshfNx***(_Float*¶`N`x`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***(_Float*¶`N``x`) - Function:
*_FloatNx***atanhfNx***(_Float*¶`N`x`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 _Float*¶`N``z`) - Function:
*complex _FloatNx***casinhfNx***(complex _Float*¶`N`x`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 _Float*¶`N``z`) - Function:
*complex _FloatNx***cacoshfNx***(complex _Float*¶`N`x`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 _Float*¶`N``z`) - Function:
*complex _FloatNx***catanhfNx***(complex _Float*¶`N`x`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`.

Next: Special Functions, Previous: Exponentiation and Logarithms, Up: Mathematics [Contents][Index]