Annotation of OpenXM_contrib/gmp/mpfr/tests/tui_div.c, Revision 1.1
1.1 ! ohara 1: /* Test file for mpfr_ui_div.
! 2:
! 3: Copyright 2000, 2001, 2002 Free Software Foundation, Inc.
! 4:
! 5: This file is part of the MPFR Library.
! 6:
! 7: The MPFR Library is free software; you can redistribute it and/or modify
! 8: it under the terms of the GNU Lesser General Public License as published by
! 9: the Free Software Foundation; either version 2.1 of the License, or (at your
! 10: option) any later version.
! 11:
! 12: The MPFR Library is distributed in the hope that it will be useful, but
! 13: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
! 14: or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
! 15: License for more details.
! 16:
! 17: You should have received a copy of the GNU Lesser General Public License
! 18: along with the MPFR Library; see the file COPYING.LIB. If not, write to
! 19: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
! 20: MA 02111-1307, USA. */
! 21:
! 22: #include <math.h>
! 23: #include <stdio.h>
! 24: #include <stdlib.h>
! 25: #include <time.h>
! 26: #include "gmp.h"
! 27: #include "gmp-impl.h"
! 28: #include "mpfr.h"
! 29: #include "mpfr-impl.h"
! 30: #include "mpfr-test.h"
! 31:
! 32: void check _PROTO((unsigned long, double, mp_rnd_t, double));
! 33: void check_inexact _PROTO((void));
! 34: void check_nan _PROTO((void));
! 35:
! 36: /* checks that y/x gives the same results in double
! 37: and with mpfr with 53 bits of precision */
! 38: void
! 39: check (unsigned long y, double x, mp_rnd_t rnd_mode, double z1)
! 40: {
! 41: double z2; mpfr_t xx, zz;
! 42:
! 43: mpfr_init2(xx, 53);
! 44: mpfr_init2(zz, 53);
! 45: mpfr_set_d(xx, x, rnd_mode);
! 46: mpfr_ui_div(zz, y, xx, rnd_mode);
! 47: #ifdef MPFR_HAVE_FESETROUND
! 48: mpfr_set_machine_rnd_mode(rnd_mode);
! 49: #endif
! 50: if (z1==0.0) z1 = y/x;
! 51: z2 = mpfr_get_d1 (zz);
! 52: if (z1!=z2 && !(isnan(z1) && isnan(z2))) {
! 53: printf("expected quotient is %1.20e, got %1.20e\n",z1,z2);
! 54: printf("mpfr_ui_div failed for y=%lu x=%1.20e with rnd_mode=%s\n",
! 55: y, x, mpfr_print_rnd_mode(rnd_mode));
! 56: exit(1);
! 57: }
! 58: mpfr_clear(xx);
! 59: mpfr_clear(zz);
! 60: }
! 61:
! 62: void
! 63: check_inexact (void)
! 64: {
! 65: mpfr_t x, y, z;
! 66: mp_prec_t px, py;
! 67: int inexact, cmp;
! 68: unsigned long int u;
! 69: mp_rnd_t rnd;
! 70:
! 71: mpfr_init (x);
! 72: mpfr_init (y);
! 73: mpfr_init (z);
! 74:
! 75: for (px=2; px<300; px++)
! 76: {
! 77: mpfr_set_prec (x, px);
! 78: mpfr_random (x);
! 79: u = LONG_RAND ();
! 80: for (py=2; py<300; py++)
! 81: {
! 82: mpfr_set_prec (y, py);
! 83: mpfr_set_prec (z, py + px);
! 84: for (rnd=0; rnd<4; rnd++)
! 85: {
! 86: inexact = mpfr_ui_div (y, u, x, rnd);
! 87: if (mpfr_mul (z, y, x, rnd))
! 88: {
! 89: fprintf (stderr, "z <- y * x should be exact\n");
! 90: exit (1);
! 91: }
! 92: cmp = mpfr_cmp_ui (z, u);
! 93: if (((inexact == 0) && (cmp != 0)) ||
! 94: ((inexact > 0) && (cmp <= 0)) ||
! 95: ((inexact < 0) && (cmp >= 0)))
! 96: {
! 97: fprintf (stderr, "Wrong inexact flag for u=%lu, rnd=%s\n", u,
! 98: mpfr_print_rnd_mode(rnd));
! 99: printf ("expected %d, got %d\n", cmp, inexact);
! 100: printf ("x="); mpfr_print_binary (x); putchar ('\n');
! 101: printf ("y="); mpfr_print_binary (y); putchar ('\n');
! 102: printf ("y*x="); mpfr_print_binary (z); putchar ('\n');
! 103: exit (1);
! 104: }
! 105: }
! 106: }
! 107: }
! 108:
! 109: mpfr_clear (x);
! 110: mpfr_clear (y);
! 111: mpfr_clear (z);
! 112: }
! 113:
! 114: void
! 115: check_nan (void)
! 116: {
! 117: mpfr_t d, q;
! 118:
! 119: mpfr_init2 (d, 100L);
! 120: mpfr_init2 (q, 100L);
! 121:
! 122: /* 1/+inf == 0 */
! 123: MPFR_CLEAR_FLAGS (d);
! 124: MPFR_SET_INF (d);
! 125: MPFR_SET_POS (d);
! 126: ASSERT_ALWAYS (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */
! 127: ASSERT_ALWAYS (mpfr_number_p (q));
! 128: ASSERT_ALWAYS (mpfr_sgn (q) == 0);
! 129:
! 130: /* 1/-inf == -0 */
! 131: MPFR_CLEAR_FLAGS (d);
! 132: MPFR_SET_INF (d);
! 133: MPFR_SET_NEG (d);
! 134: ASSERT_ALWAYS (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */
! 135: ASSERT_ALWAYS (mpfr_number_p (q));
! 136: ASSERT_ALWAYS (mpfr_sgn (q) == 0);
! 137:
! 138: /* 1/nan == nan */
! 139: MPFR_SET_NAN (d);
! 140: ASSERT_ALWAYS (mpfr_ui_div (q, 1L, d, GMP_RNDZ) == 0); /* exact */
! 141: ASSERT_ALWAYS (mpfr_nan_p (q));
! 142:
! 143: /* 0/0 == nan */
! 144: mpfr_set_ui (d, 0L, GMP_RNDN);
! 145: ASSERT_ALWAYS (mpfr_ui_div (q, 0L, d, GMP_RNDZ) == 0); /* exact */
! 146: ASSERT_ALWAYS (mpfr_nan_p (q));
! 147:
! 148: mpfr_clear (d);
! 149: mpfr_clear (q);
! 150: }
! 151:
! 152: int
! 153: main (int argc, char *argv[])
! 154: {
! 155: #ifdef MPFR_HAVE_FESETROUND
! 156: double x;
! 157: unsigned long y, N;
! 158: int i, rnd_mode, rnd;
! 159:
! 160: mpfr_test_init ();
! 161:
! 162: SEED_RAND(time(NULL));
! 163: N = (argc<2) ? 1000000 : atoi(argv[1]);
! 164: rnd_mode = (argc<3) ? -1 : atoi(argv[2]);
! 165: for (i=0;i<1000000;i++)
! 166: {
! 167: x = drand();
! 168: y = LONG_RAND();
! 169: if (ABS(x)>4e-286)
! 170: {
! 171: /* avoid denormalized numbers and overflows */
! 172: rnd = (rnd_mode==-1) ? LONG_RAND()%4 : rnd_mode;
! 173: check(y, x, rnd, 0.0);
! 174: }
! 175: }
! 176: #endif
! 177: check_inexact ();
! 178: check(948002822, 1.22191250737771397120e+20, GMP_RNDN,
! 179: 7.758352715731357946e-12);
! 180: check(1976245324, 1.25296395864546893357e+232, GMP_RNDZ,
! 181: 1.5772563211925444801e-223);
! 182: check(740454110, 2.11496253355831863313e+183, GMP_RNDZ,
! 183: 3.5010270784996976041e-175);
! 184: check(1690540942, 1.28278599852446657468e-276, GMP_RNDU,
! 185: 1.3178666932321966062e285);
! 186: check(1476599377, -2.14191393656148625995e+305, GMP_RNDD,
! 187: -6.8938315017943889615e-297);
! 188:
! 189: return 0;
! 190: }
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