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-rw-r--r--src/math/__rem_pio2f.c13
1 files changed, 12 insertions, 1 deletions
diff --git a/src/math/__rem_pio2f.c b/src/math/__rem_pio2f.c
index 4473c1c4..e6765643 100644
--- a/src/math/__rem_pio2f.c
+++ b/src/math/__rem_pio2f.c
@@ -35,6 +35,7 @@
*/
static const double
toint = 1.5/EPS,
+pio4 = 0x1.921fb6p-1,
invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
pio2_1 = 1.57079631090164184570e+00, /* 0x3FF921FB, 0x50000000 */
pio2_1t = 1.58932547735281966916e-08; /* 0x3E5110b4, 0x611A6263 */
@@ -50,10 +51,20 @@ int __rem_pio2f(float x, double *y)
ix = u.i & 0x7fffffff;
/* 25+53 bit pi is good enough for medium size */
if (ix < 0x4dc90fdb) { /* |x| ~< 2^28*(pi/2), medium size */
- /* Use a specialized rint() to get fn. Assume round-to-nearest. */
+ /* Use a specialized rint() to get fn. */
fn = (double_t)x*invpio2 + toint - toint;
n = (int32_t)fn;
*y = x - fn*pio2_1 - fn*pio2_1t;
+ /* Matters with directed rounding. */
+ if (predict_false(*y < -pio4)) {
+ n--;
+ fn--;
+ *y = x - fn*pio2_1 - fn*pio2_1t;
+ } else if (predict_false(*y > pio4)) {
+ n++;
+ fn++;
+ *y = x - fn*pio2_1 - fn*pio2_1t;
+ }
return n;
}
if(ix>=0x7f800000) { /* x is inf or NaN */