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-rw-r--r--math/s_casinhf.c16
1 files changed, 10 insertions, 6 deletions
diff --git a/math/s_casinhf.c b/math/s_casinhf.c
index e3a92f5..8f4315c 100644
--- a/math/s_casinhf.c
+++ b/math/s_casinhf.c
@@ -62,20 +62,24 @@ __casinhf (__complex__ float x)
}
else
{
+ float rx, ix;
__complex__ float y;
- __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) + 1.0;
- __imag__ y = 2.0 * __real__ x * __imag__ x;
+ /* Avoid cancellation by reducing to the first quadrant. */
+ rx = fabsf (__real__ x);
+ ix = fabsf (__imag__ x);
+
+ __real__ y = (rx - ix) * (rx + ix) + 1.0;
+ __imag__ y = 2.0 * rx * ix;
y = __csqrtf (y);
- __real__ y += __real__ x;
- __imag__ y += __imag__ x;
+ __real__ y += rx;
+ __imag__ y += ix;
res = __clogf (y);
- /* Ensure zeros have correct sign and results are correct if
- very close to branch cuts. */
+ /* Give results the correct sign for the original argument. */
__real__ res = __copysignf (__real__ res, __real__ x);
__imag__ res = __copysignf (__imag__ res, __imag__ x);
}