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-rw-r--r--math/s_catan.c22
1 files changed, 19 insertions, 3 deletions
diff --git a/math/s_catan.c b/math/s_catan.c
index 4b7fbad..3a041f2 100644
--- a/math/s_catan.c
+++ b/math/s_catan.c
@@ -77,14 +77,30 @@ __catan (__complex__ double x)
}
else
{
- double r2, num, den, f;
+ double r2, num, den, f, absx, absy;
- r2 = __real__ x * __real__ x;
+ absx = fabs (__real__ x);
+ absy = fabs (__imag__ x);
+ if (absx < absy)
+ {
+ double t = absx;
+ absx = absy;
+ absy = t;
+ }
- den = 1 - r2 - __imag__ x * __imag__ x;
+ if (absx >= 1.0)
+ den = (1.0 - absx) * (1.0 + absx) - absy * absy;
+ else if (absx >= 0.75 && absy < DBL_EPSILON / 2.0)
+ den = (1.0 - absx) * (1.0 + absx);
+ else if (absx >= 0.75 || absy >= 0.5)
+ den = -__x2y2m1 (absx, absy);
+ else
+ den = (1.0 - absx) * (1.0 + absx) - absy * absy;
__real__ res = 0.5 * __ieee754_atan2 (2.0 * __real__ x, den);
+ r2 = __real__ x * __real__ x;
+
num = __imag__ x + 1.0;
num = r2 + num * num;