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ccoshl(3) [osx man page]

CCOSH(3)						   BSD Library Functions Manual 						  CCOSH(3)

NAME
ccosh -- complex hyperbolic cosine function SYNOPSIS
double complex ccosh(double complex z); long double complex ccoshl(long double complex z); float complex ccoshf(float complex z); DESCRIPTION
ccos(z) computes the hyperbolic cosine of the complex floating-point number z. For all complex floating point numbers z, ccosh(conj(z)) = conj(ccosh(z)), ccosh(-z) = ccosh(z). SPECIAL VALUES
The symmetries of ccosh() are used to abbreviate the specification of special values. ccosh(0 + 0i) returns 1 + 0i. ccosh(0 + inf i) returns NaN + 0i, and raises the invalid flag. ccosh(0 + NaN i) returns NaN + 0i. ccosh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for finite nonzero x. ccosh(x + NaN i) returns NaN + NaN i, for finite nonzero x. ccosh(inf + 0i) returns inf + 0i. ccosh(inf + yi) returns inf * cis(y), for finite positive y, where cis(y) = cos(y) + i*sin(y). ccosh(inf + inf i) returns inf + NaN i, and raises the invalid flag. ccosh(inf + NaN i) returns inf + NaN i. ccosh(NaN + 0i) returns NaN + 0i. ccosh(NaN + yi) returns NaN + NaN i, for nonzero numbers y. ccosh(NaN + NaN i) returns NaN + NaN i. NOTES
SEE ALSO
ccos(3) complex(3) STANDARDS
The ccosh() function conforms to ISO/IEC 9899:2011. 4th Berkeley Distribution December 11, 2006 4th Berkeley Distribution

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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
SEE ALSO
ccosh(3) complex(3) STANDARDS
The cacosh() function conforms to ISO/IEC 9899:2011. 4th Berkeley Distribution December 11, 2006 4th Berkeley Distribution
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