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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/dbl-64/sincos32.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/dbl-64/sincos32.c')
-rw-r--r--REORG.TODO/sysdeps/ieee754/dbl-64/sincos32.c369
1 files changed, 369 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/ieee754/dbl-64/sincos32.c b/REORG.TODO/sysdeps/ieee754/dbl-64/sincos32.c
new file mode 100644
index 0000000000..9cd8e2f97f
--- /dev/null
+++ b/REORG.TODO/sysdeps/ieee754/dbl-64/sincos32.c
@@ -0,0 +1,369 @@
+/*
+ * IBM Accurate Mathematical Library
+ * written by International Business Machines Corp.
+ * Copyright (C) 2001-2017 Free Software Foundation, Inc.
+ *
+ * This program 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.
+ *
+ * This program 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 this program; if not, see <http://www.gnu.org/licenses/>.
+ */
+/****************************************************************/
+/*  MODULE_NAME: sincos32.c                                     */
+/*                                                              */
+/*  FUNCTIONS: ss32                                             */
+/*             cc32                                             */
+/*             c32                                              */
+/*             sin32                                            */
+/*             cos32                                            */
+/*             mpsin                                            */
+/*             mpcos                                            */
+/*             mpranred                                         */
+/*             mpsin1                                           */
+/*             mpcos1                                           */
+/*                                                              */
+/* FILES NEEDED: endian.h mpa.h sincos32.h                      */
+/*               mpa.c                                          */
+/*                                                              */
+/* Multi Precision sin() and cos() function with p=32  for sin()*/
+/* cos() arcsin() and arccos() routines                         */
+/* In addition mpranred() routine  performs range  reduction of */
+/* a double number x into multi precision number   y,           */
+/* such that y=x-n*pi/2, abs(y)<pi/4,  n=0,+-1,+-2,....         */
+/****************************************************************/
+#include "endian.h"
+#include "mpa.h"
+#include "sincos32.h"
+#include <math.h>
+#include <math_private.h>
+#include <stap-probe.h>
+
+#ifndef SECTION
+# define SECTION
+#endif
+
+/* Compute Multi-Precision sin() function for given p.  Receive Multi Precision
+   number x and result stored at y.  */
+static void
+SECTION
+ss32 (mp_no *x, mp_no *y, int p)
+{
+  int i;
+  double a;
+  mp_no mpt1, x2, gor, sum, mpk = {1, {1.0}};
+  for (i = 1; i <= p; i++)
+    mpk.d[i] = 0;
+
+  __sqr (x, &x2, p);
+  __cpy (&oofac27, &gor, p);
+  __cpy (&gor, &sum, p);
+  for (a = 27.0; a > 1.0; a -= 2.0)
+    {
+      mpk.d[1] = a * (a - 1.0);
+      __mul (&gor, &mpk, &mpt1, p);
+      __cpy (&mpt1, &gor, p);
+      __mul (&x2, &sum, &mpt1, p);
+      __sub (&gor, &mpt1, &sum, p);
+    }
+  __mul (x, &sum, y, p);
+}
+
+/* Compute Multi-Precision cos() function for given p. Receive Multi Precision
+   number x and result stored at y.  */
+static void
+SECTION
+cc32 (mp_no *x, mp_no *y, int p)
+{
+  int i;
+  double a;
+  mp_no mpt1, x2, gor, sum, mpk = {1, {1.0}};
+  for (i = 1; i <= p; i++)
+    mpk.d[i] = 0;
+
+  __sqr (x, &x2, p);
+  mpk.d[1] = 27.0;
+  __mul (&oofac27, &mpk, &gor, p);
+  __cpy (&gor, &sum, p);
+  for (a = 26.0; a > 2.0; a -= 2.0)
+    {
+      mpk.d[1] = a * (a - 1.0);
+      __mul (&gor, &mpk, &mpt1, p);
+      __cpy (&mpt1, &gor, p);
+      __mul (&x2, &sum, &mpt1, p);
+      __sub (&gor, &mpt1, &sum, p);
+    }
+  __mul (&x2, &sum, y, p);
+}
+
+/* Compute both sin(x), cos(x) as Multi precision numbers.  */
+void
+SECTION
+__c32 (mp_no *x, mp_no *y, mp_no *z, int p)
+{
+  mp_no u, t, t1, t2, c, s;
+  int i;
+  __cpy (x, &u, p);
+  u.e = u.e - 1;
+  cc32 (&u, &c, p);
+  ss32 (&u, &s, p);
+  for (i = 0; i < 24; i++)
+    {
+      __mul (&c, &s, &t, p);
+      __sub (&s, &t, &t1, p);
+      __add (&t1, &t1, &s, p);
+      __sub (&__mptwo, &c, &t1, p);
+      __mul (&t1, &c, &t2, p);
+      __add (&t2, &t2, &c, p);
+    }
+  __sub (&__mpone, &c, y, p);
+  __cpy (&s, z, p);
+}
+
+/* Receive double x and two double results of sin(x) and return result which is
+   more accurate, computing sin(x) with multi precision routine c32.  */
+double
+SECTION
+__sin32 (double x, double res, double res1)
+{
+  int p;
+  mp_no a, b, c;
+  p = 32;
+  __dbl_mp (res, &a, p);
+  __dbl_mp (0.5 * (res1 - res), &b, p);
+  __add (&a, &b, &c, p);
+  if (x > 0.8)
+    {
+      __sub (&hp, &c, &a, p);
+      __c32 (&a, &b, &c, p);
+    }
+  else
+    __c32 (&c, &a, &b, p);	/* b=sin(0.5*(res+res1))  */
+  __dbl_mp (x, &c, p);		/* c = x  */
+  __sub (&b, &c, &a, p);
+  /* if a > 0 return min (res, res1), otherwise return max (res, res1).  */
+  if ((a.d[0] > 0 && res >= res1) || (a.d[0] <= 0 && res <= res1))
+    res = res1;
+  LIBC_PROBE (slowasin, 2, &res, &x);
+  return res;
+}
+
+/* Receive double x and two double results of cos(x) and return result which is
+   more accurate, computing cos(x) with multi precision routine c32.  */
+double
+SECTION
+__cos32 (double x, double res, double res1)
+{
+  int p;
+  mp_no a, b, c;
+  p = 32;
+  __dbl_mp (res, &a, p);
+  __dbl_mp (0.5 * (res1 - res), &b, p);
+  __add (&a, &b, &c, p);
+  if (x > 2.4)
+    {
+      __sub (&pi, &c, &a, p);
+      __c32 (&a, &b, &c, p);
+      b.d[0] = -b.d[0];
+    }
+  else if (x > 0.8)
+    {
+      __sub (&hp, &c, &a, p);
+      __c32 (&a, &c, &b, p);
+    }
+  else
+    __c32 (&c, &b, &a, p);	/* b=cos(0.5*(res+res1))  */
+  __dbl_mp (x, &c, p);		/* c = x                  */
+  __sub (&b, &c, &a, p);
+  /* if a > 0 return max (res, res1), otherwise return min (res, res1).  */
+  if ((a.d[0] > 0 && res <= res1) || (a.d[0] <= 0 && res >= res1))
+    res = res1;
+  LIBC_PROBE (slowacos, 2, &res, &x);
+  return res;
+}
+
+/* Compute sin() of double-length number (X + DX) as Multi Precision number and
+   return result as double.  If REDUCE_RANGE is true, X is assumed to be the
+   original input and DX is ignored.  */
+double
+SECTION
+__mpsin (double x, double dx, bool reduce_range)
+{
+  double y;
+  mp_no a, b, c, s;
+  int n;
+  int p = 32;
+
+  if (reduce_range)
+    {
+      n = __mpranred (x, &a, p);	/* n is 0, 1, 2 or 3.  */
+      __c32 (&a, &c, &s, p);
+    }
+  else
+    {
+      n = -1;
+      __dbl_mp (x, &b, p);
+      __dbl_mp (dx, &c, p);
+      __add (&b, &c, &a, p);
+      if (x > 0.8)
+        {
+          __sub (&hp, &a, &b, p);
+          __c32 (&b, &s, &c, p);
+        }
+      else
+        __c32 (&a, &c, &s, p);	/* b = sin(x+dx)  */
+    }
+
+  /* Convert result based on which quarter of unit circle y is in.  */
+  switch (n)
+    {
+    case 1:
+      __mp_dbl (&c, &y, p);
+      break;
+
+    case 3:
+      __mp_dbl (&c, &y, p);
+      y = -y;
+      break;
+
+    case 2:
+      __mp_dbl (&s, &y, p);
+      y = -y;
+      break;
+
+    /* Quadrant not set, so the result must be sin (X + DX), which is also in
+       S.  */
+    case 0:
+    default:
+      __mp_dbl (&s, &y, p);
+    }
+  LIBC_PROBE (slowsin, 3, &x, &dx, &y);
+  return y;
+}
+
+/* Compute cos() of double-length number (X + DX) as Multi Precision number and
+   return result as double.  If REDUCE_RANGE is true, X is assumed to be the
+   original input and DX is ignored.  */
+double
+SECTION
+__mpcos (double x, double dx, bool reduce_range)
+{
+  double y;
+  mp_no a, b, c, s;
+  int n;
+  int p = 32;
+
+  if (reduce_range)
+    {
+      n = __mpranred (x, &a, p);	/* n is 0, 1, 2 or 3.  */
+      __c32 (&a, &c, &s, p);
+    }
+  else
+    {
+      n = -1;
+      __dbl_mp (x, &b, p);
+      __dbl_mp (dx, &c, p);
+      __add (&b, &c, &a, p);
+      if (x > 0.8)
+        {
+          __sub (&hp, &a, &b, p);
+          __c32 (&b, &s, &c, p);
+        }
+      else
+        __c32 (&a, &c, &s, p);	/* a = cos(x+dx)     */
+    }
+
+  /* Convert result based on which quarter of unit circle y is in.  */
+  switch (n)
+    {
+    case 1:
+      __mp_dbl (&s, &y, p);
+      y = -y;
+      break;
+
+    case 3:
+      __mp_dbl (&s, &y, p);
+      break;
+
+    case 2:
+      __mp_dbl (&c, &y, p);
+      y = -y;
+      break;
+
+    /* Quadrant not set, so the result must be cos (X + DX), which is also
+       stored in C.  */
+    case 0:
+    default:
+      __mp_dbl (&c, &y, p);
+    }
+  LIBC_PROBE (slowcos, 3, &x, &dx, &y);
+  return y;
+}
+
+/* Perform range reduction of a double number x into multi precision number y,
+   such that y = x - n * pi / 2, abs (y) < pi / 4, n = 0, +-1, +-2, ...
+   Return int which indicates in which quarter of circle x is.  */
+int
+SECTION
+__mpranred (double x, mp_no *y, int p)
+{
+  number v;
+  double t, xn;
+  int i, k, n;
+  mp_no a, b, c;
+
+  if (fabs (x) < 2.8e14)
+    {
+      t = (x * hpinv.d + toint.d);
+      xn = t - toint.d;
+      v.d = t;
+      n = v.i[LOW_HALF] & 3;
+      __dbl_mp (xn, &a, p);
+      __mul (&a, &hp, &b, p);
+      __dbl_mp (x, &c, p);
+      __sub (&c, &b, y, p);
+      return n;
+    }
+  else
+    {
+      /* If x is very big more precision required.  */
+      __dbl_mp (x, &a, p);
+      a.d[0] = 1.0;
+      k = a.e - 5;
+      if (k < 0)
+	k = 0;
+      b.e = -k;
+      b.d[0] = 1.0;
+      for (i = 0; i < p; i++)
+	b.d[i + 1] = toverp[i + k];
+      __mul (&a, &b, &c, p);
+      t = c.d[c.e];
+      for (i = 1; i <= p - c.e; i++)
+	c.d[i] = c.d[i + c.e];
+      for (i = p + 1 - c.e; i <= p; i++)
+	c.d[i] = 0;
+      c.e = 0;
+      if (c.d[1] >= HALFRAD)
+	{
+	  t += 1.0;
+	  __sub (&c, &__mpone, &b, p);
+	  __mul (&b, &hp, y, p);
+	}
+      else
+	__mul (&c, &hp, y, p);
+      n = (int) t;
+      if (x < 0)
+	{
+	  y->d[0] = -y->d[0];
+	  n = -n;
+	}
+      return (n & 3);
+    }
+}