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

NAME
     ccccoosshh - complex hyperbolic cosine function

SYNOPSIS
     double complex
     ccccoosshh(double complex z);

     long double complex
     ccccoosshhll(long double complex z);

     float complex
     ccccoosshhff(float complex z);

DESCRIPTION
     ccccooss(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).

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

     ccccoosshh(0 + 0i) returns 1 + 0i.

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

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

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

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

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

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

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

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

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

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

     ccccoosshh(NaN + NaN i) returns NaN + NaN i.

NNOOTTEESS
SEE ALSO
     ccos(3) complex(3)

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

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