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authorUlrich Drepper <drepper@redhat.com>2001-03-12 00:04:52 +0000
committerUlrich Drepper <drepper@redhat.com>2001-03-12 00:04:52 +0000
commite4d8276142b9c07b23043ef44b0fe8fa7bcc3121 (patch)
treef153a80b6ce0fdd3261ff18a16fd80bd965231c3 /sysdeps/ieee754/dbl-64/k_cos.c
parentd3c8723f6415af59a6ec14fcb918ad0e4d1fb588 (diff)
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Update.
2001-03-11 Ulrich Drepper <drepper@redhat.com> Last-bit accurate math library implementation by IBM Haifa. Contributed by Abraham Ziv <ziv@il.ibm.com>, Moshe Olshansky <olshansk@il.ibm.com>, Ealan Henis <ealan@il.ibm.com>, and Anna Reitman <reitman@il.ibm.com>. * math/Makefile (dbl-only-routines): New variable. (libm-routines): Add $(dbl-only-routines). * sysdeps/ieee754/dbl-64/e_acos.c: Empty, definition is in e_asin.c. * sysdeps/ieee754/dbl-64/e_asin.c: Replaced with accurate asin implementation. * sysdeps/ieee754/dbl-64/e_atan2.c: Replaced with accurate atan2 implementation. * sysdeps/ieee754/dbl-64/e_exp.c: Replaced with accurate exp implementation. * sysdeps/ieee754/dbl-64/e_lgamma_r.c: Don't use __kernel_sin and __kernel_cos. * sysdeps/ieee754/dbl-64/e_log.c: Replaced with accurate log implementation. * sysdeps/ieee754/dbl-64/e_remainder.c: Replaced with accurate remainder implementation. * sysdeps/ieee754/dbl-64/e_pow.c: Replaced with accurate pow implementation. * sysdeps/ieee754/dbl-64/e_sqrt.c: Replaced with accurate sqrt implementation. * sysdeps/ieee754/dbl-64/k_cos.c: Empty, definition is in s_sin.c. * sysdeps/ieee754/dbl-64/k_sin.c: Empty, definition is in s_sin.c. * sysdeps/ieee754/dbl-64/s_atan.c: Replaced with accurate atan implementation. * sysdeps/ieee754/dbl-64/s_cos.c: Empty, definition is in s_sin.c. * sysdeps/ieee754/dbl-64/s_sin.c: Replaced with accurate sin/cos implementation. * sysdeps/ieee754/dbl-64/s_sincos.c: Rewritten to not use __kernel_sin and __kernel_cos. * sysdeps/ieee754/dbl-64/s_tan.c: Replaced with accurate tan implementation. * sysdeps/ieee754/dbl-64/Dist: Add new non-code files. * sysdeps/ieee754/dbl-64/MathLib.h: New file. * sysdeps/ieee754/dbl-64/asincos.tbl: New file. * sysdeps/ieee754/dbl-64/atnat.h: New file. * sysdeps/ieee754/dbl-64/atnat2.h: New file. * sysdeps/ieee754/dbl-64/branred.c: New file. * sysdeps/ieee754/dbl-64/branred.h: New file. * sysdeps/ieee754/dbl-64/dla.h: New file. * sysdeps/ieee754/dbl-64/doasin.c: New file. * sysdeps/ieee754/dbl-64/doasin.h: New file. * sysdeps/ieee754/dbl-64/dosincos.c: New file. * sysdeps/ieee754/dbl-64/dosincos.h: New file. * sysdeps/ieee754/dbl-64/endian.h: New file. * sysdeps/ieee754/dbl-64/halfulp.c: New file. * sysdeps/ieee754/dbl-64/mpa.c: New file. * sysdeps/ieee754/dbl-64/mpa.h: New file. * sysdeps/ieee754/dbl-64/mpa2.h: New file. * sysdeps/ieee754/dbl-64/mpatan.c: New file. * sysdeps/ieee754/dbl-64/mpatan.h: New file. * sysdeps/ieee754/dbl-64/mpatan2.c: New file. * sysdeps/ieee754/dbl-64/mpexp.c: New file. * sysdeps/ieee754/dbl-64/mpexp.h: New file. * sysdeps/ieee754/dbl-64/mplog.c: New file. * sysdeps/ieee754/dbl-64/mplog.h: New file. * sysdeps/ieee754/dbl-64/mpsqrt.c: New file. * sysdeps/ieee754/dbl-64/mpsqrt.h: New file. * sysdeps/ieee754/dbl-64/mptan.c: New file. * sysdeps/ieee754/dbl-64/mydefs.h: New file. * sysdeps/ieee754/dbl-64/powtwo.tbl: New file. * sysdeps/ieee754/dbl-64/root.tbl: New file. * sysdeps/ieee754/dbl-64/sincos.tbl: New file. * sysdeps/ieee754/dbl-64/sincos32.c: New file. * sysdeps/ieee754/dbl-64/sincos32.h: New file. * sysdeps/ieee754/dbl-64/slowexp.c: New file. * sysdeps/ieee754/dbl-64/slowpow.c: New file. * sysdeps/ieee754/dbl-64/uasncs.h: New file. * sysdeps/ieee754/dbl-64/uatan.tbl: New file. * sysdeps/ieee754/dbl-64/uexp.h: New file. * sysdeps/ieee754/dbl-64/uexp.tbl: New file. * sysdeps/ieee754/dbl-64/ulog.h: New file. * sysdeps/ieee754/dbl-64/ulog.tbl: New file. * sysdeps/ieee754/dbl-64/upow.h: New file. * sysdeps/ieee754/dbl-64/upow.tbl: New file. * sysdeps/ieee754/dbl-64/urem.h: New file. * sysdeps/ieee754/dbl-64/uroot.h: New file. * sysdeps/ieee754/dbl-64/usncs.h: New file. * sysdeps/ieee754/dbl-64/utan.h: New file. * sysdeps/ieee754/dbl-64/utan.tbl: New file. * sysdeps/i386/fpu/branred.c: New file. * sysdeps/i386/fpu/doasin.c: New file. * sysdeps/i386/fpu/dosincos.c: New file. * sysdeps/i386/fpu/halfulp.c: New file. * sysdeps/i386/fpu/mpa.c: New file. * sysdeps/i386/fpu/mpatan.c: New file. * sysdeps/i386/fpu/mpatan2.c: New file. * sysdeps/i386/fpu/mpexp.c: New file. * sysdeps/i386/fpu/mplog.c: New file. * sysdeps/i386/fpu/mpsqrt.c: New file. * sysdeps/i386/fpu/mptan.c: New file. * sysdeps/i386/fpu/sincos32.c: New file. * sysdeps/i386/fpu/slowexp.c: New file. * sysdeps/i386/fpu/slowpow.c: New file. * sysdeps/ia64/fpu/branred.c: New file. * sysdeps/ia64/fpu/doasin.c: New file. * sysdeps/ia64/fpu/dosincos.c: New file. * sysdeps/ia64/fpu/halfulp.c: New file. * sysdeps/ia64/fpu/mpa.c: New file. * sysdeps/ia64/fpu/mpatan.c: New file. * sysdeps/ia64/fpu/mpatan2.c: New file. * sysdeps/ia64/fpu/mpexp.c: New file. * sysdeps/ia64/fpu/mplog.c: New file. * sysdeps/ia64/fpu/mpsqrt.c: New file. * sysdeps/ia64/fpu/mptan.c: New file. * sysdeps/ia64/fpu/sincos32.c: New file. * sysdeps/ia64/fpu/slowexp.c: New file. * sysdeps/ia64/fpu/slowpow.c: New file. * sysdeps/m68k/fpu/branred.c: New file. * sysdeps/m68k/fpu/doasin.c: New file. * sysdeps/m68k/fpu/dosincos.c: New file. * sysdeps/m68k/fpu/halfulp.c: New file. * sysdeps/m68k/fpu/mpa.c: New file. * sysdeps/m68k/fpu/mpatan.c: New file. * sysdeps/m68k/fpu/mpatan2.c: New file. * sysdeps/m68k/fpu/mpexp.c: New file. * sysdeps/m68k/fpu/mplog.c: New file. * sysdeps/m68k/fpu/mpsqrt.c: New file. * sysdeps/m68k/fpu/mptan.c: New file. * sysdeps/m68k/fpu/sincos32.c: New file. * sysdeps/m68k/fpu/slowexp.c: New file. * sysdeps/m68k/fpu/slowpow.c: New file. * iconvdata/gconv-modules: Add a number of alias, mostly for IBM codepages.
Diffstat (limited to 'sysdeps/ieee754/dbl-64/k_cos.c')
-rw-r--r--sysdeps/ieee754/dbl-64/k_cos.c108
1 files changed, 1 insertions, 107 deletions
diff --git a/sysdeps/ieee754/dbl-64/k_cos.c b/sysdeps/ieee754/dbl-64/k_cos.c
index 7e38ef7915..cc5c205a5f 100644
--- a/sysdeps/ieee754/dbl-64/k_cos.c
+++ b/sysdeps/ieee754/dbl-64/k_cos.c
@@ -1,107 +1 @@
-/* @(#)k_cos.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_cos.c,v 1.8 1995/05/10 20:46:22 jtc Exp $";
-#endif
-
-/*
- * __kernel_cos( x, y )
- * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
- * Input x is assumed to be bounded by ~pi/4 in magnitude.
- * Input y is the tail of x.
- *
- * Algorithm
- * 1. Since cos(-x) = cos(x), we need only to consider positive x.
- * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0.
- * 3. cos(x) is approximated by a polynomial of degree 14 on
- * [0,pi/4]
- * 4 14
- * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x
- * where the remez error is
- *
- * | 2 4 6 8 10 12 14 | -58
- * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2
- * | |
- *
- * 4 6 8 10 12 14
- * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then
- * cos(x) = 1 - x*x/2 + r
- * since cos(x+y) ~ cos(x) - sin(x)*y
- * ~ cos(x) - x*y,
- * a correction term is necessary in cos(x) and hence
- * cos(x+y) = 1 - (x*x/2 - (r - x*y))
- * For better accuracy when x > 0.3, let qx = |x|/4 with
- * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125.
- * Then
- * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)).
- * Note that 1-qx and (x*x/2-qx) is EXACT here, and the
- * magnitude of the latter is at least a quarter of x*x/2,
- * thus, reducing the rounding error in the subtraction.
- */
-
-#include "math.h"
-#include "math_private.h"
-
-#ifdef __STDC__
-static const double
-#else
-static double
-#endif
-C[] = {
- 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
- 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
- -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
- 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
- -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
- 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
- -1.13596475577881948265e-11}; /* 0xBDA8FAE9, 0xBE8838D4 */
-
-#ifdef __STDC__
- double __kernel_cos(double x, double y)
-#else
- double __kernel_cos(x, y)
- double x,y;
-#endif
-{
- double a,hz,z,r,qx,r1,r2,r3,z1,z2,z3;
- int32_t ix;
- z = x*x;
- GET_HIGH_WORD(ix,x);
- ix &= 0x7fffffff; /* ix = |x|'s high word*/
- if(ix<0x3e400000) { /* if x < 2**27 */
- if(((int)x)==0) return C[0]; /* generate inexact */
- }
-#ifdef DO_NOT_USE_THIS
- r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
-#else
- r1=z*C[6];r1=r1+C[5];z1=z*z;
- r2=z*C[4];r2=r2+C[3];z2=z1*z;
- r3=z*C[2];r3=r3+C[1];z3=z2*z1;
- r=z3*r1+z2*r2+z*r3;
-#endif
- if(ix < 0x3FD33333) /* if |x| < 0.3 */
- return C[0] - (0.5*z - (z*r - x*y));
- else {
- if(ix > 0x3fe90000) { /* x > 0.78125 */
- qx = 0.28125;
- } else {
- INSERT_WORDS(qx,ix-0x00200000,0); /* x/4 */
- }
- hz = 0.5*z-qx;
- a = C[0]-qx;
- return a - (hz - (z*r-x*y));
- }
-}
+/* Not needed anymore. */