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authorbde <bde@FreeBSD.org>1995-04-07 23:23:27 +0000
committerbde <bde@FreeBSD.org>1995-04-07 23:23:27 +0000
commit2cc0b4033dd17a9b0b6d12daf26bfb393ddc94f6 (patch)
tree976b6d4771fce822c3f20a996c5e53a9f6c4403f /lib/msun/src/e_rem_pio2f.c
parent07041fdd38a0577516d33c770844fec7c65e4129 (diff)
downloadFreeBSD-src-2cc0b4033dd17a9b0b6d12daf26bfb393ddc94f6.zip
FreeBSD-src-2cc0b4033dd17a9b0b6d12daf26bfb393ddc94f6.tar.gz
Submitted by: J.T. Conklin <jtc@wimsey.com>
Second part of update to fdlibm 5.2: speed up argument reduction for trig functions in the case pi/4 < |x| < 3pi/4. Remove unused static constants ("one").
Diffstat (limited to 'lib/msun/src/e_rem_pio2f.c')
-rw-r--r--lib/msun/src/e_rem_pio2f.c27
1 files changed, 26 insertions, 1 deletions
diff --git a/lib/msun/src/e_rem_pio2f.c b/lib/msun/src/e_rem_pio2f.c
index eae6473..153a8c4 100644
--- a/lib/msun/src/e_rem_pio2f.c
+++ b/lib/msun/src/e_rem_pio2f.c
@@ -14,7 +14,7 @@
*/
#ifndef lint
-static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.2 1994/08/18 23:05:58 jtc Exp $";
+static char rcsid[] = "$Id: e_rem_pio2f.c,v 1.1.1.1 1994/08/19 09:39:57 jkh Exp $";
#endif
/* __ieee754_rem_pio2f(x,y)
@@ -114,6 +114,31 @@ pio2_3t = 6.1232342629e-17; /* 0x248d3132 */
ix = hx&0x7fffffff;
if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */
{y[0] = x; y[1] = 0; return 0;}
+ if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */
+ if(hx>0) {
+ z = x - pio2_1;
+ if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+ y[0] = z - pio2_1t;
+ y[1] = (z-y[0])-pio2_1t;
+ } else { /* near pi/2, use 24+24+24 bit pi */
+ z -= pio2_2;
+ y[0] = z - pio2_2t;
+ y[1] = (z-y[0])-pio2_2t;
+ }
+ return 1;
+ } else { /* negative x */
+ z = x + pio2_1;
+ if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+ y[0] = z + pio2_1t;
+ y[1] = (z-y[0])+pio2_1t;
+ } else { /* near pi/2, use 24+24+24 bit pi */
+ z += pio2_2;
+ y[0] = z + pio2_2t;
+ y[1] = (z-y[0])+pio2_2t;
+ }
+ return -1;
+ }
+ }
if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
t = fabsf(x);
n = (int32_t) (t*invpio2+half);
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