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 December 11, 2006 4th Berkeley Distribution
Mac OS X 10.6 - Generated Thu Sep 17 20:19:02 CDT 2009