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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(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 |