Login or Register to Ask a Question and Join Our Community

Linux and UNIX Man Pages

Linux & Unix Commands - Search Man Pages

csinh(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

Check Out this Related 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

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
Man Page