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

NAME
     ccssiinnhh - complex hyperbolic sine function

SYNOPSIS
     ##iinncclluuddee <>

     double complex
     ccssiinnhh(double complex z);

     long double complex
     ccssiinnhhll(long double complex z);

     float complex
     ccssiinnhhff(float complex z);

DESCRIPTION
     ccssiinn(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).

SSPPEECCIIAALL VVAALLUUEESS
     The symmetries of csinh() are used to abbreviate the specification of
     special values.

     ccssiinnhh(0 + 0i) returns 0 + 0i.

     ccssiinnhh(0 + inf i) returns 0 + NaN i, and raises the invalid flag.

     ccssiinnhh(0 + NaN i) returns 0 + NaN i.

     ccssiinnhh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for
     finite nonzero x.

     ccssiinnhh(x + NaN i) returns NaN + NaN i, for finite nonzero x.

     ccssiinnhh(inf + 0i) returns inf + 0i.

     ccssiinnhh(inf + yi) returns inf * cis(y), for finite positive y, where cis(y)
     = cos(y) + i*sin(y).

     ccssiinnhh(inf + inf i) returns inf + NaN i, and raises the invalid flag.

     ccssiinnhh(inf + NaN i) returns inf + NaN i.

     ccssiinnhh(NaN + 0i) returns NaN + 0i.

     ccssiinnhh(NaN + yi) returns NaN + NaN i, for nonzero numbers y.

     ccssiinnhh(NaN + NaN i) returns NaN + NaN i.

NNOOTTEESS
SEE ALSO
     csin(3) complex(3)

STANDARDS     The ccssiinnhh() function conforms to ISO/IEC 9899:1999(E).

4th Berkeley Distribution      November 9, 2006      4th Berkeley Distribution