aboutsummaryrefslogtreecommitdiff
path: root/sysdeps/ieee754/dbl-64/k_sin.c
diff options
context:
space:
mode:
authorUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
commitabfbdde177c3a7155070dda1b2cdc8292054cc26 (patch)
treee021306b596381fbf8311d2b7eb294e918ff17c8 /sysdeps/ieee754/dbl-64/k_sin.c
parent86421aa57ecfd70963ae66848bd6a6dd3b8e0fe6 (diff)
downloadglibc-abfbdde177c3a7155070dda1b2cdc8292054cc26.zip
glibc-abfbdde177c3a7155070dda1b2cdc8292054cc26.tar.gz
glibc-abfbdde177c3a7155070dda1b2cdc8292054cc26.tar.bz2
Update.
Diffstat (limited to 'sysdeps/ieee754/dbl-64/k_sin.c')
-rw-r--r--sysdeps/ieee754/dbl-64/k_sin.c91
1 files changed, 91 insertions, 0 deletions
diff --git a/sysdeps/ieee754/dbl-64/k_sin.c b/sysdeps/ieee754/dbl-64/k_sin.c
new file mode 100644
index 0000000..49c5922
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/k_sin.c
@@ -0,0 +1,91 @@
+/* @(#)k_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_sin.c,v 1.8 1995/05/10 20:46:31 jtc Exp $";
+#endif
+
+/* __kernel_sin( x, y, iy)
+ * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input iy indicates whether y is 0. (if iy=0, y assume to be 0).
+ *
+ * Algorithm
+ * 1. Since sin(-x) = -sin(x), we need only to consider positive x.
+ * 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0.
+ * 3. sin(x) is approximated by a polynomial of degree 13 on
+ * [0,pi/4]
+ * 3 13
+ * sin(x) ~ x + S1*x + ... + S6*x
+ * where
+ *
+ * |sin(x) 2 4 6 8 10 12 | -58
+ * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
+ * | x |
+ *
+ * 4. sin(x+y) = sin(x) + sin'(x')*y
+ * ~ sin(x) + (1-x*x/2)*y
+ * For better accuracy, let
+ * 3 2 2 2 2
+ * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6))))
+ * then 3 2
+ * sin(x) = x + (S1*x + (x *(r-y/2)+y))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+S[] = {
+ 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+ -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+ 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+ -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+ 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+ -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
+ 1.58969099521155010221e-10}; /* 0x3DE5D93A, 0x5ACFD57C */
+
+#ifdef __STDC__
+ double __kernel_sin(double x, double y, int iy)
+#else
+ double __kernel_sin(x, y, iy)
+ double x,y; int iy; /* iy=0 if y is zero */
+#endif
+{
+ double z,r,v,z1,r1,r2;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x3e400000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+#ifdef DO_NOT_USE_THIS
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+#else
+ r1 = S[5]+z*S[6]; z1 = z*z*z;
+ r2 = S[3]+z*S[4];
+ r = S[2] + z*r2 + z1*r1;
+ if(iy==0) return x+v*(S[1]+z*r);
+ else return x-((z*(S[0]*y-v*r)-y)-v*S[1]);
+#endif
+}