csec.c File Reference

#include "prim.h"

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Functions
complex	csec (complex z)
	Secant of a complex number. More...

Function Documentation

csec()

complex csec

(

complex

z

)

Secant of a complex number.

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

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

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

Definition at line 48 of file csec.c.

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

Referenced by ComplexNumber::Secant().

{
    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((double)INFP, (double)INFP);
    }
    else
    {
        w = cpack((2.0 * cos(a) * cosh(b) / d), (2.0 * sin(a) * sinh(b) / d));
    }

    return w;
}

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