csech.c File Reference

#include "prim.h"

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Functions
complex	csech (complex z)
	Hyperbolic secant of a complex number. More...

Function Documentation

csech()

complex csech

(

complex

z

)

Hyperbolic secant of a complex number.

Calculated as in Open Office:
https://wiki.openoffice.org/wiki/Documentation/How_Tos/Calc:_IMSECH_function

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

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

Definition at line 48 of file csech.c.

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

Referenced by ComplexNumber::HypSecant().

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

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

    return w;
}

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