# cacosh(3) [osx man page]

```CACOSH(3)						   BSD Library Functions Manual 						 CACOSH(3)

NAME
cacosh -- complex inverse hyperbolic cosine function

SYNOPSIS
double complex
cacosh(double complex z);

long double complex
cacoshl(long double complex z);

float complex
cacoshf(float complex z);

DESCRIPTION
cacosh(z) computes the inverse hyperbolic cosine of the complex floating-point number z, with a branch cut on the interval [-inf, 1] along
the real axis.

cacosh() returns values in a half-strip of the complex plane with positive real part and imaginary part in the interval [-Pi, Pi].

For all complex floating point numbers z, cacosh(conj(z)) = conj(cacosh(z)).

SPECIAL VALUES
The conjugate symmetry of cacosh() is used to abbreviate the specification of special values.

cacosh(+-0 + 0i) returns 0 + Pi/2 i.

cacosh(x + inf i) returns inf + Pi/2 i, for finite x.

cacosh(x + NaN i) returns NaN + NaN i, for finite nonzero x.

cacosh(-inf + yi) returns inf + Pi i, for finite positive-signed y.

cacosh(inf + yi) returns inf + 0i, for finite positive-signed y.

cacosh(-inf + inf i) returns inf + 3Pi/4 i.

cacosh(inf + inf i) returns inf + Pi/4 i.

cacosh(+-inf + NaN i) returns inf + NaN i.

cacosh(NaN + yi) returns NaN + NaN i, for finite y.

cacosh(NaN + inf i) returns inf + NaN i.

cacosh(NaN + NaN i) returns NaN + NaN i.

NOTES
ccosh(3) complex(3)

STANDARDS
The cacosh() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution					 December 11, 2006					 4th Berkeley Distribution```

## Check Out this Related Man Page

```CACOSH(3)						   BSD Library Functions Manual 						 CACOSH(3)

NAME
cacosh -- complex inverse hyperbolic cosine function

SYNOPSIS
double complex
cacosh(double complex z);

long double complex
cacoshl(long double complex z);

float complex
cacoshf(float complex z);

DESCRIPTION
cacosh(z) computes the inverse hyperbolic cosine of the complex floating-point number z, with a branch cut on the interval [-inf, 1] along
the real axis.

cacosh() returns values in a half-strip of the complex plane with positive real part and imaginary part in the interval [-Pi, Pi].

For all complex floating point numbers z, cacosh(conj(z)) = conj(cacosh(z)).

SPECIAL VALUES
The conjugate symmetry of cacosh() is used to abbreviate the specification of special values.

cacosh(+-0 + 0i) returns 0 + Pi/2 i.

cacosh(x + inf i) returns inf + Pi/2 i, for finite x.

cacosh(x + NaN i) returns NaN + NaN i, for finite nonzero x.

cacosh(-inf + yi) returns inf + Pi i, for finite positive-signed y.

cacosh(inf + yi) returns inf + 0i, for finite positive-signed y.

cacosh(-inf + inf i) returns inf + 3Pi/4 i.

cacosh(inf + inf i) returns inf + Pi/4 i.

cacosh(+-inf + NaN i) returns inf + NaN i.

cacosh(NaN + yi) returns NaN + NaN i, for finite y.

cacosh(NaN + inf i) returns inf + NaN i.

cacosh(NaN + NaN i) returns NaN + NaN i.

NOTES
ccosh(3) complex(3)

STANDARDS
The cacosh() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution					 December 11, 2006					 4th Berkeley Distribution```
Man Page

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