cacsch.c File Reference

#include "prim.h"

Include dependency graph for cacsch.c:

Go to the source code of this file.

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

Function Documentation

cacsch()

complex cacsch

(

complex

z

)

Inverse hyperbolic cosecant of complex number.

Inverse hyperbolic cosecant expressed using complex logarithms:

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

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

Definition at line 42 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;
}

Here is the call graph for this function:

Here is the caller graph for this function: