about summary refs log tree commit diff
path: root/REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c
diff options
context:
space:
mode:
authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
commit5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch)
tree4470480d904b65cf14ca524f96f79eca818c3eaf /REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c
parent199fc19d3aaaf57944ef036e15904febe877fc93 (diff)
downloadglibc-zack/build-layout-experiment.tar.gz
glibc-zack/build-layout-experiment.tar.xz
glibc-zack/build-layout-experiment.zip
Prepare for radical source tree reorganization. zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage
directory, REORG.TODO, except for files that will certainly still
exist in their current form at top level when we're done (COPYING,
COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which
are moved to the new directory OldChangeLogs, instead), and the
generated file INSTALL (which is just deleted; in the new order, there
will be no generated files checked into version control).
Diffstat (limited to 'REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c')
-rw-r--r--REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c170
1 files changed, 170 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c b/REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c
new file mode 100644
index 0000000000..03710f9e3a
--- /dev/null
+++ b/REORG.TODO/sysdeps/ieee754/ldbl-128/k_sincosl.c
@@ -0,0 +1,170 @@
+/* Quad-precision floating point sine and cosine on <-pi/4,pi/4>.
+   Copyright (C) 1999-2017 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 Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 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
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <float.h>
+#include <math.h>
+#include <math_private.h>
+
+static const _Float128 c[] = {
+#define ONE c[0]
+ L(1.00000000000000000000000000000000000E+00), /* 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]
+L(-5.00000000000000000000000000000000000E-01), /* bffe0000000000000000000000000000 */
+ L(4.16666666666666666666666666556146073E-02), /* 3ffa5555555555555555555555395023 */
+L(-1.38888888888888888888309442601939728E-03), /* bff56c16c16c16c16c16a566e42c0375 */
+ L(2.48015873015862382987049502531095061E-05), /* 3fefa01a01a019ee02dcf7da2d6d5444 */
+L(-2.75573112601362126593516899592158083E-07), /* bfe927e4f5dce637cb0b54908754bde0 */
+
+/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 )
+   x in <0,0.1484375>  */
+#define COS1 c[6]
+#define COS2 c[7]
+#define COS3 c[8]
+#define COS4 c[9]
+#define COS5 c[10]
+#define COS6 c[11]
+#define COS7 c[12]
+#define COS8 c[13]
+L(-4.99999999999999999999999999999999759E-01), /* bffdfffffffffffffffffffffffffffb */
+ L(4.16666666666666666666666666651287795E-02), /* 3ffa5555555555555555555555516f30 */
+L(-1.38888888888888888888888742314300284E-03), /* bff56c16c16c16c16c16c16a463dfd0d */
+ L(2.48015873015873015867694002851118210E-05), /* 3fefa01a01a01a01a0195cebe6f3d3a5 */
+L(-2.75573192239858811636614709689300351E-07), /* bfe927e4fb7789f5aa8142a22044b51f */
+ L(2.08767569877762248667431926878073669E-09), /* 3fe21eed8eff881d1e9262d7adff4373 */
+L(-1.14707451049343817400420280514614892E-11), /* bfda9397496922a9601ed3d4ca48944b */
+ L(4.77810092804389587579843296923533297E-14), /* 3fd2ae5f8197cbcdcaf7c3fb4523414c */
+
+/* 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]
+L(-1.66666666666666666666666666666666659E-01), /* bffc5555555555555555555555555555 */
+ L(8.33333333333333333333333333146298442E-03), /* 3ff81111111111111111111110fe195d */
+L(-1.98412698412698412697726277416810661E-04), /* bff2a01a01a01a01a019e7121e080d88 */
+ L(2.75573192239848624174178393552189149E-06), /* 3fec71de3a556c640c6aaa51aa02ab41 */
+L(-2.50521016467996193495359189395805639E-08), /* bfe5ae644ee90c47dc71839de75b2787 */
+
+/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
+   x in <0,0.1484375>  */
+#define SIN1 c[19]
+#define SIN2 c[20]
+#define SIN3 c[21]
+#define SIN4 c[22]
+#define SIN5 c[23]
+#define SIN6 c[24]
+#define SIN7 c[25]
+#define SIN8 c[26]
+L(-1.66666666666666666666666666666666538e-01), /* bffc5555555555555555555555555550 */
+ L(8.33333333333333333333333333307532934e-03), /* 3ff811111111111111111111110e7340 */
+L(-1.98412698412698412698412534478712057e-04), /* bff2a01a01a01a01a01a019e7a626296 */
+ L(2.75573192239858906520896496653095890e-06), /* 3fec71de3a556c7338fa38527474b8f5 */
+L(-2.50521083854417116999224301266655662e-08), /* bfe5ae64567f544e16c7de65c2ea551f */
+ L(1.60590438367608957516841576404938118e-10), /* 3fde6124613a811480538a9a41957115 */
+L(-7.64716343504264506714019494041582610e-13), /* bfd6ae7f3d5aef30c7bc660b060ef365 */
+ L(2.81068754939739570236322404393398135e-15), /* 3fce9510115aabf87aceb2022a9a9180 */
+};
+
+#define SINCOSL_COS_HI 0
+#define SINCOSL_COS_LO 1
+#define SINCOSL_SIN_HI 2
+#define SINCOSL_SIN_LO 3
+extern const _Float128 __sincosl_table[];
+
+void
+__kernel_sincosl(_Float128 x, _Float128 y, _Float128 *sinx, _Float128 *cosx, int iy)
+{
+  _Float128 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 16(17).  */
+      if (tix < 0x3fc60000)		/* |x| < 2^-57 */
+	{
+	  math_check_force_underflow (x);
+	  if (!((int)x))			/* generate inexact */
+	    {
+	      *sinx = x;
+	      *cosx = ONE;
+	      return;
+	    }
+	}
+      z = x * x;
+      *sinx = x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+
+			z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8)))))))));
+      *cosx = ONE + (z*(COS1+z*(COS2+z*(COS3+z*(COS4+
+		     z*(COS5+z*(COS6+z*(COS7+z*COS8))))))));
+    }
+  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) and
+	 cosl(h+l) = cosl(h)cosl(l) - sinl(h)sinl(l).  */
+      index = 0x3ffe - (tix >> 16);
+      hix = (tix + (0x200 << index)) & (0xfffffc00 << index);
+      if (signbit (x))
+	{
+	  x = -x;
+	  y = -y;
+	}
+      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));
+      *sinx = (ix < 0) ? -z : z;
+      *cosx = __sincosl_table [index + SINCOSL_COS_HI]
+	      + (__sincosl_table [index + SINCOSL_COS_LO]
+		 - (__sincosl_table [index + SINCOSL_SIN_HI] * sin_l
+		    - __sincosl_table [index + SINCOSL_COS_HI] * cos_l_m1));
+    }
+}