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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(_ + _i) returns 0 + 0i.

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

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