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30891f35fa
We stopped adding "Contributed by" or similar lines in sources in 2012 in favour of git logs and keeping the Contributors section of the glibc manual up to date. Removing these lines makes the license header a bit more consistent across files and also removes the possibility of error in attribution when license blocks or files are copied across since the contributed-by lines don't actually reflect reality in those cases. Move all "Contributed by" and similar lines (Written by, Test by, etc.) into a new file CONTRIBUTED-BY to retain record of these contributions. These contributors are also mentioned in manual/contrib.texi, so we just maintain this additional record as a courtesy to the earlier developers. The following scripts were used to filter a list of files to edit in place and to clean up the CONTRIBUTED-BY file respectively. These were not added to the glibc sources because they're not expected to be of any use in future given that this is a one time task: https://gist.github.com/siddhesh/b5ecac94eabfd72ed2916d6d8157e7dc https://gist.github.com/siddhesh/15ea1f5e435ace9774f485030695ee02 Reviewed-by: Carlos O'Donell <carlos@redhat.com>
283 lines
8.4 KiB
C
283 lines
8.4 KiB
C
/* Copyright (C) 1997-2021 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include <stdio.h>
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#include <math.h>
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#include <gmp.h>
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#include <string.h>
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#include <limits.h>
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#include <assert.h>
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#define PRINT_ERRORS 0
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#define N 0
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#define N2 20
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#define FRAC (32 * 4)
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#define mpbpl (CHAR_BIT * sizeof (mp_limb_t))
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#define SZ (FRAC / mpbpl + 1)
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typedef mp_limb_t mp1[SZ], mp2[SZ * 2];
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/* These strings have exactly 100 hex digits in them. */
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static const char sin1[101] =
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"d76aa47848677020c6e9e909c50f3c3289e511132f518b4def"
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"b6ca5fd6c649bdfb0bd9ff1edcd4577655b5826a3d3b50c264";
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static const char cos1[101] =
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"8a51407da8345c91c2466d976871bd29a2373a894f96c3b7f2"
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"300240b760e6fa96a94430a52d0e9e43f3450e3b8ff99bc934";
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static const char hexdig[] = "0123456789abcdef";
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static void
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print_mpn_hex (const mp_limb_t *x, unsigned size)
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{
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char value[size + 1];
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unsigned i;
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const unsigned final = (size * 4 > SZ * mpbpl) ? SZ * mpbpl / 4 : size;
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memset (value, '0', size);
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for (i = 0; i < final ; i++)
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value[size-1-i] = hexdig[x[i * 4 / mpbpl] >> (i * 4) % mpbpl & 0xf];
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value[size] = '\0';
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fputs (value, stdout);
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}
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static void
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sincosx_mpn (mp1 si, mp1 co, mp1 xx, mp1 ix)
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{
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int i;
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mp2 s[4], c[4];
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mp1 tmp, x;
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if (ix == NULL)
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{
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memset (si, 0, sizeof (mp1));
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memset (co, 0, sizeof (mp1));
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co[SZ-1] = 1;
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memcpy (x, xx, sizeof (mp1));
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}
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else
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mpn_sub_n (x, xx, ix, SZ);
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for (i = 0; i < 1 << N; i++)
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{
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#define add_shift_mulh(d,x,s1,s2,sh,n) \
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do { \
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if (s2 != NULL) { \
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if (sh > 0) { \
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assert (sh < mpbpl); \
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mpn_lshift (tmp, s1, SZ, sh); \
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if (n) \
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mpn_sub_n (tmp,tmp,s2+FRAC/mpbpl,SZ); \
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else \
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mpn_add_n (tmp,tmp,s2+FRAC/mpbpl,SZ); \
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} else { \
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if (n) \
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mpn_sub_n (tmp,s1,s2+FRAC/mpbpl,SZ); \
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else \
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mpn_add_n (tmp,s1,s2+FRAC/mpbpl,SZ); \
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} \
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mpn_mul_n(d,tmp,x,SZ); \
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} else \
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mpn_mul_n(d,s1,x,SZ); \
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assert(N+sh < mpbpl); \
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if (N+sh > 0) mpn_rshift(d,d,2*SZ,N+sh); \
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} while(0)
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#define summ(d,ss,s,n) \
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do { \
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mpn_add_n(tmp,s[1]+FRAC/mpbpl,s[2]+FRAC/mpbpl,SZ); \
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mpn_lshift(tmp,tmp,SZ,1); \
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mpn_add_n(tmp,tmp,s[0]+FRAC/mpbpl,SZ); \
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mpn_add_n(tmp,tmp,s[3]+FRAC/mpbpl,SZ); \
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mpn_divmod_1(tmp,tmp,SZ,6); \
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if (n) \
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mpn_sub_n (d,ss,tmp,SZ); \
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else \
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mpn_add_n (d,ss,tmp,SZ); \
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} while (0)
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add_shift_mulh (s[0], x, co, NULL, 0, 0); /* s0 = h * c; */
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add_shift_mulh (c[0], x, si, NULL, 0, 0); /* c0 = h * s; */
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add_shift_mulh (s[1], x, co, c[0], 1, 1); /* s1 = h * (c - c0/2); */
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add_shift_mulh (c[1], x, si, s[0], 1, 0); /* c1 = h * (s + s0/2); */
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add_shift_mulh (s[2], x, co, c[1], 1, 1); /* s2 = h * (c - c1/2); */
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add_shift_mulh (c[2], x, si, s[1], 1, 0); /* c2 = h * (s + s1/2); */
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add_shift_mulh (s[3], x, co, c[2], 0, 1); /* s3 = h * (c - c2); */
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add_shift_mulh (c[3], x, si, s[2], 0, 0); /* c3 = h * (s + s2); */
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summ (si, si, s, 0); /* s = s + (s0+2*s1+2*s2+s3)/6; */
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summ (co, co, c, 1); /* c = c - (c0+2*c1+2*c2+c3)/6; */
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}
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#undef add_shift_mulh
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#undef summ
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}
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static int
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mpn_bitsize (const mp_limb_t *SRC_PTR, mp_size_t SIZE)
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{
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int i, j;
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for (i = SIZE - 1; i > 0; i--)
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if (SRC_PTR[i] != 0)
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break;
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for (j = mpbpl - 1; j >= 0; j--)
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if ((SRC_PTR[i] & (mp_limb_t)1 << j) != 0)
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break;
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return i * mpbpl + j;
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}
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static int
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do_test (void)
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{
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mp1 si, co, x, ox, xt, s2, c2, s3, c3;
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int i;
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int sin_errors = 0, cos_errors = 0;
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int sin_failures = 0, cos_failures = 0;
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mp1 sin_maxerror, cos_maxerror;
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int sin_maxerror_s = 0, cos_maxerror_s = 0;
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const double sf = pow (2, mpbpl);
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/* assert(mpbpl == mp_bits_per_limb); */
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assert(FRAC / mpbpl * mpbpl == FRAC);
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memset (sin_maxerror, 0, sizeof (mp1));
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memset (cos_maxerror, 0, sizeof (mp1));
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memset (xt, 0, sizeof (mp1));
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xt[(FRAC - N2) / mpbpl] = (mp_limb_t)1 << (FRAC - N2) % mpbpl;
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for (i = 0; i < 1 << N2; i++)
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{
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int s2s, s3s, c2s, c3s, j;
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double ds2,dc2;
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mpn_mul_1 (x, xt, SZ, i);
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sincosx_mpn (si, co, x, i == 0 ? NULL : ox);
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memcpy (ox, x, sizeof (mp1));
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ds2 = sin (i / (double) (1 << N2));
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dc2 = cos (i / (double) (1 << N2));
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for (j = SZ-1; j >= 0; j--)
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{
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s2[j] = (mp_limb_t) ds2;
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ds2 = (ds2 - s2[j]) * sf;
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c2[j] = (mp_limb_t) dc2;
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dc2 = (dc2 - c2[j]) * sf;
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}
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if (mpn_cmp (si, s2, SZ) >= 0)
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mpn_sub_n (s3, si, s2, SZ);
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else
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mpn_sub_n (s3, s2, si, SZ);
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if (mpn_cmp (co, c2, SZ) >= 0)
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mpn_sub_n (c3, co, c2, SZ);
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else
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mpn_sub_n (c3, c2, co, SZ);
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s2s = mpn_bitsize (s2, SZ);
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s3s = mpn_bitsize (s3, SZ);
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c2s = mpn_bitsize (c2, SZ);
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c3s = mpn_bitsize (c3, SZ);
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if ((s3s >= 0 && s2s - s3s < 54)
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|| (c3s >= 0 && c2s - c3s < 54)
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|| 0)
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{
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#if PRINT_ERRORS
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printf ("%06x ", i * (0x100000 / (1 << N2)));
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print_mpn_hex(si, (FRAC / 4) + 1);
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putchar (' ');
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print_mpn_hex (co, (FRAC / 4) + 1);
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putchar ('\n');
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fputs (" ", stdout);
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print_mpn_hex (s2, (FRAC / 4) + 1);
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putchar (' ');
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print_mpn_hex (c2, (FRAC / 4) + 1);
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putchar ('\n');
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printf (" %c%c ",
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s3s >= 0 && s2s-s3s < 54 ? s2s - s3s == 53 ? 'e' : 'F' : 'P',
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c3s >= 0 && c2s-c3s < 54 ? c2s - c3s == 53 ? 'e' : 'F' : 'P');
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print_mpn_hex (s3, (FRAC / 4) + 1);
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putchar (' ');
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print_mpn_hex (c3, (FRAC / 4) + 1);
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putchar ('\n');
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#endif
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sin_errors += s2s - s3s == 53;
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cos_errors += c2s - c3s == 53;
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sin_failures += s2s - s3s < 53;
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cos_failures += c2s - c3s < 53;
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}
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if (s3s >= sin_maxerror_s
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&& mpn_cmp (s3, sin_maxerror, SZ) > 0)
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{
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memcpy (sin_maxerror, s3, sizeof (mp1));
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sin_maxerror_s = s3s;
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}
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if (c3s >= cos_maxerror_s
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&& mpn_cmp (c3, cos_maxerror, SZ) > 0)
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{
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memcpy (cos_maxerror, c3, sizeof (mp1));
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cos_maxerror_s = c3s;
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}
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}
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/* Check Range-Kutta against precomputed values of sin(1) and cos(1). */
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memset (x, 0, sizeof (mp1));
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x[FRAC / mpbpl] = (mp_limb_t)1 << FRAC % mpbpl;
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sincosx_mpn (si, co, x, ox);
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memset (s2, 0, sizeof (mp1));
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memset (c2, 0, sizeof (mp1));
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for (i = 0; i < 100 && i < FRAC / 4; i++)
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{
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s2[(FRAC - i * 4 - 4) / mpbpl] |= ((mp_limb_t) (strchr (hexdig, sin1[i])
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- hexdig)
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<< (FRAC - i * 4 - 4) % mpbpl);
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c2[(FRAC - i * 4 - 4) / mpbpl] |= ((mp_limb_t) (strchr (hexdig, cos1[i])
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- hexdig)
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<< (FRAC - i * 4 - 4) % mpbpl);
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}
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if (mpn_cmp (si, s2, SZ) >= 0)
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mpn_sub_n (s3, si, s2, SZ);
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else
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mpn_sub_n (s3, s2, si, SZ);
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if (mpn_cmp (co, c2, SZ) >= 0)
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mpn_sub_n (c3, co, c2, SZ);
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else
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mpn_sub_n (c3, c2, co, SZ);
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printf ("sin:\n");
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printf ("%d failures; %d errors; error rate %0.2f%%\n",
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sin_failures, sin_errors, sin_errors * 100.0 / (double) (1 << N2));
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fputs ("maximum error: ", stdout);
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print_mpn_hex (sin_maxerror, (FRAC / 4) + 1);
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fputs ("\nerror in sin(1): ", stdout);
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print_mpn_hex (s3, (FRAC / 4) + 1);
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fputs ("\n\ncos:\n", stdout);
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printf ("%d failures; %d errors; error rate %0.2f%%\n",
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cos_failures, cos_errors, cos_errors * 100.0 / (double) (1 << N2));
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fputs ("maximum error: ", stdout);
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print_mpn_hex (cos_maxerror, (FRAC / 4) + 1);
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fputs ("\nerror in cos(1): ", stdout);
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print_mpn_hex (c3, (FRAC / 4) + 1);
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putchar ('\n');
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return (sin_failures == 0 && cos_failures == 0) ? 0 : 1;
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}
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#define TIMEOUT 600
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#define TEST_FUNCTION do_test ()
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#include "../test-skeleton.c"
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