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-rw-r--r--math/s_catanf.c22
1 files changed, 19 insertions, 3 deletions
diff --git a/math/s_catanf.c b/math/s_catanf.c
index aa71e5e..698e2af 100644
--- a/math/s_catanf.c
+++ b/math/s_catanf.c
@@ -78,14 +78,30 @@ __catanf (__complex__ float x)
}
else
{
- float r2, num, den, f;
+ float r2, num, den, f, absx, absy;
- r2 = __real__ x * __real__ x;
+ absx = fabsf (__real__ x);
+ absy = fabsf (__imag__ x);
+ if (absx < absy)
+ {
+ float t = absx;
+ absx = absy;
+ absy = t;
+ }
- den = 1 - r2 - __imag__ x * __imag__ x;
+ if (absx >= 1.0f)
+ den = (1.0f - absx) * (1.0f + absx) - absy * absy;
+ else if (absx >= 0.75f && absy < FLT_EPSILON / 2.0f)
+ den = (1.0f - absx) * (1.0f + absx);
+ else if (absx >= 0.75f || absy >= 0.5f)
+ den = -__x2y2m1f (absx, absy);
+ else
+ den = (1.0f - absx) * (1.0f + absx) - absy * absy;
__real__ res = 0.5f * __ieee754_atan2f (2.0f * __real__ x, den);
+ r2 = __real__ x * __real__ x;
+
num = __imag__ x + 1.0f;
num = r2 + num * num;