cacosh.c File Reference

#include "prim.h"

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Functions
complex	cacosh (complex z)
	Inverse hyperbolic cosine of complex number. More...

Function Documentation

cacosh()

complex cacosh

(

complex

z

)

Inverse hyperbolic cosine of complex number.

Inverse hyperbolic cosine expressed using complex logarithms:

acosh(z) = log(z + sqrt(z*z - 1))

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

Definition at line 42 of file cacosh.c.

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

Referenced by ComplexNumber::HypArcCosine().

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

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