# casinhf(3) [osx man page]

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

casinhcomplex 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] 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)-iSPECIAL 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

SEE ALSO

csinh(3) complex(3)STANDARDS

The casinh() function conforms to ISO/IEC 9899:2011.4th Berkeley DistributionDecember 11, 2006 4th Berkeley Distribution

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NAME

casinhcomplex 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] 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)-iSPECIAL 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

SEE ALSO

csinh(3) complex(3)STANDARDS

The casinh() function conforms to ISO/IEC 9899:2011.4th Berkeley DistributionDecember 11, 2006 4th Berkeley Distribution