cacsch.c File Reference

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

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Functions
complex	cacsch (complex z)
	Inverse hyperbolic cosecant of complex number. More...

Function Documentation

complex cacsch

(

complex

z

)

Inverse hyperbolic cosecant of complex number.

Version

1.0

Date

14/09/15

Inverse hyperbolic cosecant expressed using complex logarithms:

acsch(z) = log(sqrt(1 + 1 / (z * z)) + 1/z)

More info is available at Wikipedia:
http://en.wikipedia.org/wiki/Inverse_hyperbolic_function#Logarithmic_representation

Definition at line 43 of file cacsch.c.

References cadd(), clog(), cmul(), cpack(), creci(), and csqrt().

Referenced by ComplexNumber::HypArcCosecant().

{
    complex one = cpack(1.0, 0.0);
    complex a = creci(cmul(z, z));
    complex b = csqrt(cadd(one, a));
    complex c = cadd(b, creci(z));
    complex w = clog(c);
    return w;
}

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