ccoth.c File Reference

#include "prim.h"
#include "math.h"
#include "complex.h"

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Functions
complex	ccoth (complex z)
	Hyperbolic cotangent of a complex number. More...

Function Documentation

complex ccoth

(

complex

z

)

Hyperbolic cotangent of a complex number.

acoth(z) = 0.5 * (log(1 + 1/z) - log(1 - 1/z))

or

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 49 of file ccoth.c.

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

Referenced by ComplexNumber::HypCotangent().

{
    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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