COSH(3)                 BSD Library Functions Manual                 COSH(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 num-
     ber 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 9899:1999(E).

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