cacos.c File Reference

#include "prim.h"

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Functions
complex	cacos (complex z)
	Inverse cosine of complex number. More...

Function Documentation

cacos()

complex cacos

(

complex

z

)

Inverse cosine of complex number.

Inverse cosine expressed using complex logarithms:

arccos z = -i * log(z + i * sqrt(1 - z * z))

More info is available at Wikipedia:
https://wikipedia.org/wiki/Inverse_trigonometric_functions#Logarithmic_forms

Definition at line 42 of file cacos.c.

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

Referenced by ComplexNumber::ArcCosine().

{
    complex a = cpack(1.0, 0.0);
    complex i = cpack(0.0, 1.0);
    complex j = cpack(0.0, -1.0);
    complex p = csub(a, cmul(z, z));
    complex q = clog(cadd(z, cmul(i, csqrt(p))));
    complex w = cmul(j, q);
    return w;
}

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