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CCOSH(3)                                BSD Library Functions Manual                                CCOSH(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 number 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(_ + _i) returns 1 + 0i.

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

     ccosh(_ + 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 + _i) 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 + _i) 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                     December 11, 2006                    4th Berkeley Distribution

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