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authorUlrich Drepper <drepper@redhat.com>1999-07-15 18:26:25 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-15 18:26:25 +0000
commit3fe4dc4156af9255fe86b5040c2538e9d7f5459d (patch)
tree41035dba0db535ec39ee7b746c96e05958274dc4 /sysdeps/ieee754/ldbl-128/k_sinl.c
parent446d213c35105852d345b7cc72d71dd65d15d8ef (diff)
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Update.
1999-07-15 Jakub Jelinek <jj@ultra.linux.cz> * math/Makefile: Add t_sincosl and k_sincosl support routines. * math/math_private.h (__kernel_sincosl): New declaration. * sysdeps/generic/t_sincosl.c: New file. * sysdeps/generic/k_sincosl.c: New file. * sysdeps/ieee754/ldbl-128/k_cosl.c: New file. * sysdeps/ieee754/ldbl-128/k_sinl.c: New file. * sysdeps/ieee754/ldbl-128/k_sincosl.c: New file. * sysdeps/ieee754/ldbl-128/t_sincosl.c: New file. * sysdeps/ieee754/ldbl-128/e_rem_pio2l.c: New file. * sysdeps/ieee754/ldbl-128/s_sincosl.c (__sincosl): Use __kernel_sincosl. * sysdeps/ieee754/ldbl-128/math_ldbl.h (GET_LDOUBLE_LSW64): New definition.
Diffstat (limited to 'sysdeps/ieee754/ldbl-128/k_sinl.c')
-rw-r--r--sysdeps/ieee754/ldbl-128/k_sinl.c132
1 files changed, 132 insertions, 0 deletions
diff --git a/sysdeps/ieee754/ldbl-128/k_sinl.c b/sysdeps/ieee754/ldbl-128/k_sinl.c
new file mode 100644
index 0000000000..2247e06b8d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/k_sinl.c
@@ -0,0 +1,132 @@
+/* Quad-precision floating point sine on <-pi/4,pi/4>.
+ Copyright (C) 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Jakub Jelinek <jj@ultra.linux.cz>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "math.h"
+#include "math_private.h"
+
+static const long double c[] = {
+#define ONE c[0]
+ 1.00000000000000000000000000000000000E+00L, /* 3fff0000000000000000000000000000 */
+
+/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
+ x in <0,1/256> */
+#define SCOS1 c[1]
+#define SCOS2 c[2]
+#define SCOS3 c[3]
+#define SCOS4 c[4]
+#define SCOS5 c[5]
+-5.00000000000000000000000000000000000E-01L, /* bffe0000000000000000000000000000 */
+ 4.16666666666666666666666666556146073E-02L, /* 3ffa5555555555555555555555395023 */
+-1.38888888888888888888309442601939728E-03L, /* bff56c16c16c16c16c16a566e42c0375 */
+ 2.48015873015862382987049502531095061E-05L, /* 3fefa01a01a019ee02dcf7da2d6d5444 */
+-2.75573112601362126593516899592158083E-07L, /* bfe927e4f5dce637cb0b54908754bde0 */
+
+/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
+ x in <0,0.1484375> */
+#define SIN1 c[6]
+#define SIN2 c[7]
+#define SIN3 c[8]
+#define SIN4 c[9]
+#define SIN5 c[10]
+#define SIN6 c[11]
+#define SIN7 c[12]
+#define SIN8 c[13]
+-1.66666666666666666666666666666666538e-01L, /* bffc5555555555555555555555555550 */
+ 8.33333333333333333333333333307532934e-03L, /* 3ff811111111111111111111110e7340 */
+-1.98412698412698412698412534478712057e-04L, /* bff2a01a01a01a01a01a019e7a626296 */
+ 2.75573192239858906520896496653095890e-06L, /* 3fec71de3a556c7338fa38527474b8f5 */
+-2.50521083854417116999224301266655662e-08L, /* bfe5ae64567f544e16c7de65c2ea551f */
+ 1.60590438367608957516841576404938118e-10L, /* 3fde6124613a811480538a9a41957115 */
+-7.64716343504264506714019494041582610e-13L, /* bfd6ae7f3d5aef30c7bc660b060ef365 */
+ 2.81068754939739570236322404393398135e-15L, /* 3fce9510115aabf87aceb2022a9a9180 */
+
+/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
+ x in <0,1/256> */
+#define SSIN1 c[14]
+#define SSIN2 c[15]
+#define SSIN3 c[16]
+#define SSIN4 c[17]
+#define SSIN5 c[18]
+-1.66666666666666666666666666666666659E-01L, /* bffc5555555555555555555555555555 */
+ 8.33333333333333333333333333146298442E-03L, /* 3ff81111111111111111111110fe195d */
+-1.98412698412698412697726277416810661E-04L, /* bff2a01a01a01a01a019e7121e080d88 */
+ 2.75573192239848624174178393552189149E-06L, /* 3fec71de3a556c640c6aaa51aa02ab41 */
+-2.50521016467996193495359189395805639E-08L, /* bfe5ae644ee90c47dc71839de75b2787 */
+};
+
+#define SINCOSL_COS_HI 0
+#define SINCOSL_COS_LO 1
+#define SINCOSL_SIN_HI 2
+#define SINCOSL_SIN_LO 3
+extern const long double __sincosl_table[];
+
+long double
+__kernel_sinl(long double x, long double y, int iy)
+{
+ long double h, l, z, sin_l, cos_l_m1;
+ int64_t ix;
+ u_int32_t tix, hix, index;
+ GET_LDOUBLE_MSW64 (ix, x);
+ tix = ((u_int64_t)ix) >> 32;
+ tix &= ~0x80000000; /* tix = |x|'s high 32 bits */
+ if (tix < 0x3ffc3000) /* |x| < 0.1484375 */
+ {
+ /* Argument is small enough to approximate it by a Chebyshev
+ polynomial of degree 17. */
+ if (tix < 0x3fc60000) /* |x| < 2^-57 */
+ if (!((int)x)) return x; /* generate inexact */
+ z = x * x;
+ return x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+
+ z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8)))))))));
+ }
+ else
+ {
+ /* So that we don't have to use too large polynomial, we find
+ l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83
+ possible values for h. We look up cosl(h) and sinl(h) in
+ pre-computed tables, compute cosl(l) and sinl(l) using a
+ Chebyshev polynomial of degree 10(11) and compute
+ sinl(h+l) = sinl(h)cosl(l) + cosl(h)sinl(l). */
+ index = 0x3ffe - (tix >> 16);
+ hix = (tix + (0x200 << index)) & (0xfffffc00 << index);
+ x = fabsl (x);
+ switch (index)
+ {
+ case 0: index = ((45 << 10) + hix - 0x3ffe0000) >> 8; break;
+ case 1: index = ((13 << 11) + hix - 0x3ffd0000) >> 9; break;
+ default:
+ case 2: index = (hix - 0x3ffc3000) >> 10; break;
+ }
+
+ SET_LDOUBLE_WORDS64(h, ((u_int64_t)hix) << 32, 0);
+ if (iy)
+ l = y - (h - x);
+ else
+ l = x - h;
+ z = l * l;
+ sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5)))));
+ cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5))));
+ z = __sincosl_table [index + SINCOSL_SIN_HI]
+ + (__sincosl_table [index + SINCOSL_SIN_LO]
+ + (__sincosl_table [index + SINCOSL_SIN_HI] * cos_l_m1)
+ + (__sincosl_table [index + SINCOSL_COS_HI] * sin_l));
+ return (ix < 0) ? -z : z;
+ }
+}