# cacosh(3) [osx man page]

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

cacoshcomplex 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 [, 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 [-inf, Pi]. For all complex floating point numbers z, cacosh(conj(z)) = conj(cacosh(z)).-PiSPECIAL 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

SEE ALSO

ccosh(3) complex(3)STANDARDS

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

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NAME

cacoshcomplex 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 [, 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 [-inf, Pi]. For all complex floating point numbers z, cacosh(conj(z)) = conj(cacosh(z)).-PiSPECIAL 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

SEE ALSO

ccosh(3) complex(3)STANDARDS

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