aboutsummaryrefslogtreecommitdiff
path: root/math/atest-sincos.c
diff options
context:
space:
mode:
Diffstat (limited to 'math/atest-sincos.c')
-rw-r--r--math/atest-sincos.c283
1 files changed, 0 insertions, 283 deletions
diff --git a/math/atest-sincos.c b/math/atest-sincos.c
deleted file mode 100644
index 94bb70441a..0000000000
--- a/math/atest-sincos.c
+++ /dev/null
@@ -1,283 +0,0 @@
-/* Copyright (C) 1997-2017 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- Contributed by Geoffrey Keating <Geoff.Keating@anu.edu.au>, 1997.
-
- 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 <stdio.h>
-#include <math.h>
-#include <gmp.h>
-#include <string.h>
-#include <limits.h>
-#include <assert.h>
-
-#define PRINT_ERRORS 0
-
-#define N 0
-#define N2 20
-#define FRAC (32 * 4)
-
-#define mpbpl (CHAR_BIT * sizeof (mp_limb_t))
-#define SZ (FRAC / mpbpl + 1)
-typedef mp_limb_t mp1[SZ], mp2[SZ * 2];
-
-/* These strings have exactly 100 hex digits in them. */
-static const char sin1[101] =
-"d76aa47848677020c6e9e909c50f3c3289e511132f518b4def"
-"b6ca5fd6c649bdfb0bd9ff1edcd4577655b5826a3d3b50c264";
-static const char cos1[101] =
-"8a51407da8345c91c2466d976871bd29a2373a894f96c3b7f2"
-"300240b760e6fa96a94430a52d0e9e43f3450e3b8ff99bc934";
-static const char hexdig[] = "0123456789abcdef";
-
-static void
-print_mpn_hex (const mp_limb_t *x, unsigned size)
-{
- char value[size + 1];
- unsigned i;
- const unsigned final = (size * 4 > SZ * mpbpl) ? SZ * mpbpl / 4 : size;
-
- memset (value, '0', size);
-
- for (i = 0; i < final ; i++)
- value[size-1-i] = hexdig[x[i * 4 / mpbpl] >> (i * 4) % mpbpl & 0xf];
-
- value[size] = '\0';
- fputs (value, stdout);
-}
-
-static void
-sincosx_mpn (mp1 si, mp1 co, mp1 xx, mp1 ix)
-{
- int i;
- mp2 s[4], c[4];
- mp1 tmp, x;
-
- if (ix == NULL)
- {
- memset (si, 0, sizeof (mp1));
- memset (co, 0, sizeof (mp1));
- co[SZ-1] = 1;
- memcpy (x, xx, sizeof (mp1));
- }
- else
- mpn_sub_n (x, xx, ix, SZ);
-
- for (i = 0; i < 1 << N; i++)
- {
-#define add_shift_mulh(d,x,s1,s2,sh,n) \
- do { \
- if (s2 != NULL) { \
- if (sh > 0) { \
- assert (sh < mpbpl); \
- mpn_lshift (tmp, s1, SZ, sh); \
- if (n) \
- mpn_sub_n (tmp,tmp,s2+FRAC/mpbpl,SZ); \
- else \
- mpn_add_n (tmp,tmp,s2+FRAC/mpbpl,SZ); \
- } else { \
- if (n) \
- mpn_sub_n (tmp,s1,s2+FRAC/mpbpl,SZ); \
- else \
- mpn_add_n (tmp,s1,s2+FRAC/mpbpl,SZ); \
- } \
- mpn_mul_n(d,tmp,x,SZ); \
- } else \
- mpn_mul_n(d,s1,x,SZ); \
- assert(N+sh < mpbpl); \
- if (N+sh > 0) mpn_rshift(d,d,2*SZ,N+sh); \
- } while(0)
-#define summ(d,ss,s,n) \
- do { \
- mpn_add_n(tmp,s[1]+FRAC/mpbpl,s[2]+FRAC/mpbpl,SZ); \
- mpn_lshift(tmp,tmp,SZ,1); \
- mpn_add_n(tmp,tmp,s[0]+FRAC/mpbpl,SZ); \
- mpn_add_n(tmp,tmp,s[3]+FRAC/mpbpl,SZ); \
- mpn_divmod_1(tmp,tmp,SZ,6); \
- if (n) \
- mpn_sub_n (d,ss,tmp,SZ); \
- else \
- mpn_add_n (d,ss,tmp,SZ); \
- } while (0)
-
- add_shift_mulh (s[0], x, co, NULL, 0, 0); /* s0 = h * c; */
- add_shift_mulh (c[0], x, si, NULL, 0, 0); /* c0 = h * s; */
- add_shift_mulh (s[1], x, co, c[0], 1, 1); /* s1 = h * (c - c0/2); */
- add_shift_mulh (c[1], x, si, s[0], 1, 0); /* c1 = h * (s + s0/2); */
- add_shift_mulh (s[2], x, co, c[1], 1, 1); /* s2 = h * (c - c1/2); */
- add_shift_mulh (c[2], x, si, s[1], 1, 0); /* c2 = h * (s + s1/2); */
- add_shift_mulh (s[3], x, co, c[2], 0, 1); /* s3 = h * (c - c2); */
- add_shift_mulh (c[3], x, si, s[2], 0, 0); /* c3 = h * (s + s2); */
- summ (si, si, s, 0); /* s = s + (s0+2*s1+2*s2+s3)/6; */
- summ (co, co, c, 1); /* c = c - (c0+2*c1+2*c2+c3)/6; */
- }
-#undef add_shift_mulh
-#undef summ
-}
-
-static int
-mpn_bitsize (const mp_limb_t *SRC_PTR, mp_size_t SIZE)
-{
- int i, j;
- for (i = SIZE - 1; i > 0; i--)
- if (SRC_PTR[i] != 0)
- break;
- for (j = mpbpl - 1; j >= 0; j--)
- if ((SRC_PTR[i] & (mp_limb_t)1 << j) != 0)
- break;
-
- return i * mpbpl + j;
-}
-
-static int
-do_test (void)
-{
- mp1 si, co, x, ox, xt, s2, c2, s3, c3;
- int i;
- int sin_errors = 0, cos_errors = 0;
- int sin_failures = 0, cos_failures = 0;
- mp1 sin_maxerror, cos_maxerror;
- int sin_maxerror_s = 0, cos_maxerror_s = 0;
- const double sf = pow (2, mpbpl);
-
- /* assert(mpbpl == mp_bits_per_limb); */
- assert(FRAC / mpbpl * mpbpl == FRAC);
-
- memset (sin_maxerror, 0, sizeof (mp1));
- memset (cos_maxerror, 0, sizeof (mp1));
- memset (xt, 0, sizeof (mp1));
- xt[(FRAC - N2) / mpbpl] = (mp_limb_t)1 << (FRAC - N2) % mpbpl;
-
- for (i = 0; i < 1 << N2; i++)
- {
- int s2s, s3s, c2s, c3s, j;
- double ds2,dc2;
-
- mpn_mul_1 (x, xt, SZ, i);
- sincosx_mpn (si, co, x, i == 0 ? NULL : ox);
- memcpy (ox, x, sizeof (mp1));
- ds2 = sin (i / (double) (1 << N2));
- dc2 = cos (i / (double) (1 << N2));
- for (j = SZ-1; j >= 0; j--)
- {
- s2[j] = (mp_limb_t) ds2;
- ds2 = (ds2 - s2[j]) * sf;
- c2[j] = (mp_limb_t) dc2;
- dc2 = (dc2 - c2[j]) * sf;
- }
- if (mpn_cmp (si, s2, SZ) >= 0)
- mpn_sub_n (s3, si, s2, SZ);
- else
- mpn_sub_n (s3, s2, si, SZ);
- if (mpn_cmp (co, c2, SZ) >= 0)
- mpn_sub_n (c3, co, c2, SZ);
- else
- mpn_sub_n (c3, c2, co, SZ);
-
- s2s = mpn_bitsize (s2, SZ);
- s3s = mpn_bitsize (s3, SZ);
- c2s = mpn_bitsize (c2, SZ);
- c3s = mpn_bitsize (c3, SZ);
- if ((s3s >= 0 && s2s - s3s < 54)
- || (c3s >= 0 && c2s - c3s < 54)
- || 0)
- {
-#if PRINT_ERRORS
- printf ("%06x ", i * (0x100000 / (1 << N2)));
- print_mpn_hex(si, (FRAC / 4) + 1);
- putchar (' ');
- print_mpn_hex (co, (FRAC / 4) + 1);
- putchar ('\n');
- fputs (" ", stdout);
- print_mpn_hex (s2, (FRAC / 4) + 1);
- putchar (' ');
- print_mpn_hex (c2, (FRAC / 4) + 1);
- putchar ('\n');
- printf (" %c%c ",
- s3s >= 0 && s2s-s3s < 54 ? s2s - s3s == 53 ? 'e' : 'F' : 'P',
- c3s >= 0 && c2s-c3s < 54 ? c2s - c3s == 53 ? 'e' : 'F' : 'P');
- print_mpn_hex (s3, (FRAC / 4) + 1);
- putchar (' ');
- print_mpn_hex (c3, (FRAC / 4) + 1);
- putchar ('\n');
-#endif
- sin_errors += s2s - s3s == 53;
- cos_errors += c2s - c3s == 53;
- sin_failures += s2s - s3s < 53;
- cos_failures += c2s - c3s < 53;
- }
- if (s3s >= sin_maxerror_s
- && mpn_cmp (s3, sin_maxerror, SZ) > 0)
- {
- memcpy (sin_maxerror, s3, sizeof (mp1));
- sin_maxerror_s = s3s;
- }
- if (c3s >= cos_maxerror_s
- && mpn_cmp (c3, cos_maxerror, SZ) > 0)
- {
- memcpy (cos_maxerror, c3, sizeof (mp1));
- cos_maxerror_s = c3s;
- }
- }
-
- /* Check Range-Kutta against precomputed values of sin(1) and cos(1). */
- memset (x, 0, sizeof (mp1));
- x[FRAC / mpbpl] = (mp_limb_t)1 << FRAC % mpbpl;
- sincosx_mpn (si, co, x, ox);
-
- memset (s2, 0, sizeof (mp1));
- memset (c2, 0, sizeof (mp1));
- for (i = 0; i < 100 && i < FRAC / 4; i++)
- {
- s2[(FRAC - i * 4 - 4) / mpbpl] |= ((mp_limb_t) (strchr (hexdig, sin1[i])
- - hexdig)
- << (FRAC - i * 4 - 4) % mpbpl);
- c2[(FRAC - i * 4 - 4) / mpbpl] |= ((mp_limb_t) (strchr (hexdig, cos1[i])
- - hexdig)
- << (FRAC - i * 4 - 4) % mpbpl);
- }
-
- if (mpn_cmp (si, s2, SZ) >= 0)
- mpn_sub_n (s3, si, s2, SZ);
- else
- mpn_sub_n (s3, s2, si, SZ);
- if (mpn_cmp (co, c2, SZ) >= 0)
- mpn_sub_n (c3, co, c2, SZ);
- else
- mpn_sub_n (c3, c2, co, SZ);
-
- printf ("sin:\n");
- printf ("%d failures; %d errors; error rate %0.2f%%\n",
- sin_failures, sin_errors, sin_errors * 100.0 / (double) (1 << N2));
- fputs ("maximum error: ", stdout);
- print_mpn_hex (sin_maxerror, (FRAC / 4) + 1);
- fputs ("\nerror in sin(1): ", stdout);
- print_mpn_hex (s3, (FRAC / 4) + 1);
-
- fputs ("\n\ncos:\n", stdout);
- printf ("%d failures; %d errors; error rate %0.2f%%\n",
- cos_failures, cos_errors, cos_errors * 100.0 / (double) (1 << N2));
- fputs ("maximum error: ", stdout);
- print_mpn_hex (cos_maxerror, (FRAC / 4) + 1);
- fputs ("\nerror in cos(1): ", stdout);
- print_mpn_hex (c3, (FRAC / 4) + 1);
- putchar ('\n');
-
- return (sin_failures == 0 && cos_failures == 0) ? 0 : 1;
-}
-
-#define TIMEOUT 600
-#define TEST_FUNCTION do_test ()
-#include "../test-skeleton.c"
generated by cgit v1.2.3-70-g09d2 (git 2.48.1) at 2025-07-04 08:18:32 +0000