CTANH(3)                 BSD Library Functions Manual                 CTANH(3)

NAME
     ctanh -- complex hyperbolic tangent function

SYNOPSIS
     double complex
     ctanh(double complex z);

     long double complex
     ctanhl(long double complex z);

     float complex
     ctanhf(float complex z);

DESCRIPTION
     ctanh(z) computes the hyperbolic tangent of the complex floating-point
     number z.

     For all complex floating point numbers z,

           ctanh(conj(z)) = conj(ctanh(z)),
           ctanh(-z) = -ctanh(z).

SPECIAL VALUES
     The symmetries of ctanh() are used to abbreviate the specification of
     special values.

     ctanh(0 ] 0i) returns 0 ] 0i.

     ctanh(0 ] inf i) returns NaN ] NaN i, and raises the invalid flag.

     ctanh(0 ] NaN i) returns NaN ] NaN i.

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

     ctanh(x ] NaN i) returns NaN ] NaN i, for finite nonzero x.

     ctanh(inf ] 0i) returns 1 ] 0i.

     ctanh(inf ] yi) returns 1 ]- 0i, for finite positive y, with the sign
     chosen to match the sign of sin(2y).

     ctanh(inf ] inf i) returns 1 ] 0i.

     ctanh(inf ] NaN i) returns 1 ] 0i.

     ctanh(NaN ] 0i) returns NaN ] 0i.

     ctanh(NaN ] yi) returns NaN ] NaN i, for nonzero numbers y.

     ctanh(NaN ] NaN i) returns NaN ] NaN i.

NOTES
SEE ALSO
     ctan(3) complex(3)

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

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