# casinhl(3) [osx man page]

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

NAME
casinh -- complex inverse hyperbolic sine function

SYNOPSIS
double complex
casinh(double complex z);

long double complex
casinhl(long double complex z);

float complex
casinhf(float complex z);

DESCRIPTION
casinh(z) computes the inverse hyperbolic sine of the complex floating-point number z, with branch cuts outside the interval [-i, i] along
the imaginary axis.

casinh() returns values in a strip of the complex plane with imaginary part in the interval [-Pi/2, Pi/2].

For all complex floating point numbers z,

casinh(conj(z)) = conj(casinh(z)).
casinh(-z) = -casinh(z)

SPECIAL VALUES
The symmetries of casinh() are used to abbreviate the specification of special values.

casinh(0 + 0i) returns 0 + 0 i.

casinh(x + inf i) returns inf + Pi/2 i, for finite positive-signed x.

casinh(x + NaN i) returns NaN + NaN i, for finite x.

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

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

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

casinh(NaN + 0i) returns NaN + 0i.

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

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

casinh(NaN + NaN i) returns NaN + NaN i.

NOTES
csinh(3) complex(3)

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

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

## Check Out this Related Man Page

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

NAME
cacos -- complex inverse cosine function

SYNOPSIS
double complex
cacos(double complex z);

long double complex
cacosl(long double complex z);

float complex
cacosf(float complex z);

DESCRIPTION
cacos(z) computes the inverse cosine of the complex floating-point number z, with branch cuts outside the interval [-1,1] along the real
axis.

cacos() returns values in a strip of the complex plane with unbounded imaginary part, and real part in the interval [0, Pi].

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

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

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

cacos(+-0 + NaN i) returns Pi/2 + NaN i.

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

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

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

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

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

cacos(inf + inf i) returns Pi/4 - inf i.

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

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

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

cacos(NaN + NaN i) returns NaN + NaN i.

NOTES
complex(3)

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

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