/* csqrtl.c */ | |
/* | |
Contributed by Danny Smith | |
2005-01-04 | |
*/ | |
#include <math.h> | |
#include <complex.h> | |
long double complex csqrtl (long double complex Z) | |
{ | |
long double complex Res; | |
long double r; | |
long double x = __real__ Z; | |
long double y = __imag__ Z; | |
if (y == 0.0L) | |
{ | |
if (x < 0.0L) | |
{ | |
__real__ Res = 0.0L; | |
__imag__ Res = sqrtl (-x); | |
} | |
else | |
{ | |
__real__ Res = sqrtl (x); | |
__imag__ Res = 0.0L; | |
} | |
} | |
else if (x == 0.0L) | |
{ | |
r = sqrtl(0.5L * fabsl (y)); | |
__real__ Res = r; | |
__imag__ Res = y > 0 ? r : -r; | |
} | |
else | |
{ | |
long double t = sqrtl (2.0L * (hypotl (__real__ Z, __imag__ Z) + fabsl (x))); | |
long double u = t / 2.0L; | |
if ( x > 0.0L) | |
{ | |
__real__ Res = u; | |
__imag__ Res = y / t; | |
} | |
else | |
{ | |
__real__ Res = fabsl (y / t); | |
__imag__ Res = y < 0 ? -u : u; | |
} | |
} | |
return Res; | |
} |