ccsc.c File Reference

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

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Functions
complex	ccsc (complex z)
	Cosecant of a complex number. More...

Function Documentation

complex ccsc

(

complex

z

)

Cosecant of a complex number.

Calculated as in Open Office:

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

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

https://wiki.openoffice.org/wiki/Documentation/How_Tos/Calc:_IMCSC_function

Definition at line 47 of file ccsc.c.

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

Referenced by ComplexNumber::Cosecant().

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

    a = creal(z);
    b = cimag(z);
    d = cosh(2.0 * b) - cos(2.0 * a);

    if (d == 0.0) {
        w = cpack(HUGE, HUGE); // TODO: INF, INF
    } else {
        w = cpack((2.0 * sin(a) * cosh(b) / d), (-2.0 * cos(a) * sinh(b) / d));
    }

    return w;
}

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