ctanh.c File Reference

#include "prim.h"

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Functions
complex	ctanh (complex z)
	Hyperbolic tangent of a complex number. More...

Function Documentation

ctanh()

complex ctanh

(

complex

z

)

Hyperbolic tangent of a complex number.

a+bi
               sinh(2.0 * a)
real  = ---------------------------—
         cosh(2.0 * a) + cos(2.0 * b)
  sin(2.0 * b)

imag  = ---------------------------—
         cosh(2.0 * a) + cos(2.0 * b)

Definition at line 53 of file ctanh.c.

References cimag(), cos(), cosh(), cpack(), creal(), sin(), and sinh().

Referenced by ComplexNumber::HypTangent().

{
    complex w;
    double a, b;
    double d;

    a = creal(z);
    b = cimag(z);
    d = cosh(2.0 * a) + cos(2.0 * b);
    w = cpack((sinh(2.0 * a) / d), (sin(2.0 * b) / d));

    return w;
}

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