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-rw-r--r--lib/msun/src/e_rem_pio2f.c48
1 files changed, 39 insertions, 9 deletions
diff --git a/lib/msun/src/e_rem_pio2f.c b/lib/msun/src/e_rem_pio2f.c
index eaedc48..3d17158 100644
--- a/lib/msun/src/e_rem_pio2f.c
+++ b/lib/msun/src/e_rem_pio2f.c
@@ -55,6 +55,7 @@ zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2 = 1.57079632679489655700e+00, /* 0x3FF921FB, 0x54442d18 */
pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
pio2_1t = 6.07710050650619224932e-11; /* 0x3DD0B461, 0x1A626331 */
@@ -71,16 +72,45 @@ pio2_1t = 6.07710050650619224932e-11; /* 0x3DD0B461, 0x1A626331 */
/* 33+53 bit pi is good enough for special and medium size cases */
if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */
if(hx>0) {
- z = x - pio2_1;
- y[0] = z - pio2_1t;
- y[1] = (z-y[0])-pio2_1t;
- return 1;
- } else { /* negative x */
- z = x + pio2_1;
- y[0] = z + pio2_1t;
- y[1] = (z-y[0])+pio2_1t;
- return -1;
+ z = x - pio2;
+ n = 1;
+ } else {
+ z = x + pio2;
+ n = 3;
}
+ y[0] = z;
+ y[1] = z - y[0];
+ return n;
+ }
+ if(ix<0x407b53d1) { /* |x| < 5*pi/4, special case with n=+-2 */
+ if(hx>0)
+ z = x - 2*pio2;
+ else
+ z = x + 2*pio2;
+ y[0] = z;
+ y[1] = z - y[0];
+ return 2;
+ }
+ if(ix<0x40afeddf) { /* |x| < 7*pi/4, special case with n=+-3 */
+ if(hx>0) {
+ z = x - 3*pio2;
+ n = 3;
+ } else {
+ z = x + 3*pio2;
+ n = 1;
+ }
+ y[0] = z;
+ y[1] = z - y[0];
+ return n;
+ }
+ if(ix<0x40e231d6) { /* |x| < 9*pi/4, special case with n=+-4 */
+ if(hx>0)
+ z = x - 4*pio2;
+ else
+ z = x + 4*pio2;
+ y[0] = z;
+ y[1] = z - y[0];
+ return 0;
}
if(ix<=0x49490f80) { /* |x| ~<= 2^19*(pi/2), medium size */
t = fabsf(x);
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