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csinhf(3) [osx man page]

CSINH(3)						   BSD Library Functions Manual 						  CSINH(3)

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

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