Annotation of OpenXM_contrib/gmp/mpfr/tests/tdiv_ui.c, Revision 1.1
1.1 ! ohara 1: /* Test file for mpfr_div_ui.
! 2:
! 3: Copyright 1999, 2000, 2001, 2002 Free Software Foundation.
! 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 <stdio.h>
! 23: #include <stdlib.h>
! 24: #include <time.h>
! 25: #include "gmp.h"
! 26: #include "mpfr.h"
! 27: #include "mpfr-test.h"
! 28:
! 29: void check _PROTO((double, unsigned long, mp_rnd_t, double));
! 30: void special _PROTO((void));
! 31: void check_inexact _PROTO((void));
! 32:
! 33: void
! 34: check (double d, unsigned long u, mp_rnd_t rnd, double e)
! 35: {
! 36: mpfr_t x, y;
! 37: double f;
! 38:
! 39: mpfr_init2(x, 53); mpfr_init2(y, 53);
! 40: #ifdef MPFR_HAVE_FESETROUND
! 41: mpfr_set_machine_rnd_mode(rnd);
! 42: #endif
! 43: if (e==0.0) e = d / u;
! 44: mpfr_set_d(x, d, rnd);
! 45: mpfr_div_ui(y, x, u, rnd);
! 46: f = mpfr_get_d1 (y);
! 47: if (f != e && (!isnan(f) || !isnan(e))) {
! 48: printf("mpfr_div_ui failed for x=%1.20e, u=%lu, rnd=%s\n", d, u,
! 49: mpfr_print_rnd_mode(rnd));
! 50: printf("expected result is %1.20e, got %1.20e, dif=%d ulp\n",e,f,ulp(e,f));
! 51: exit(1);
! 52: }
! 53: mpfr_clear(x); mpfr_clear(y);
! 54: }
! 55:
! 56: void
! 57: special (void)
! 58: {
! 59: mpfr_t x, y;
! 60: unsigned xprec, yprec;
! 61:
! 62: mpfr_init (x);
! 63: mpfr_init (y);
! 64:
! 65: mpfr_set_prec (x, 32);
! 66: mpfr_set_prec (y, 32);
! 67: mpfr_set_ui (x, 1, GMP_RNDN);
! 68: mpfr_div_ui (y, x, 3, GMP_RNDN);
! 69:
! 70: mpfr_set_prec (x, 100);
! 71: mpfr_set_prec (y, 100);
! 72: mpfr_random (x);
! 73: mpfr_div_ui (y, x, 123456, GMP_RNDN);
! 74: mpfr_set_ui (x, 0, GMP_RNDN);
! 75: mpfr_div_ui (y, x, 123456789, GMP_RNDN);
! 76: if (mpfr_cmp_ui (y, 0))
! 77: {
! 78: fprintf (stderr, "mpfr_div_ui gives non-zero for 0/ui\n");
! 79: exit (1);
! 80: }
! 81:
! 82: /* bug found by Norbert Mueller, 21 Aug 2001 */
! 83: mpfr_set_prec (x, 110);
! 84: mpfr_set_prec (y, 60);
! 85: mpfr_set_str_raw (x, "0.110101110011111110011111001110011001110111000000111110001000111011000011E-44");
! 86: mpfr_div_ui (y, x, 17, GMP_RNDN);
! 87: mpfr_set_str_raw (x, "0.11001010100101100011101110000001100001010110101001010011011E-48");
! 88: if (mpfr_cmp (x, y))
! 89: {
! 90: fprintf (stderr, "Error in x/17 for x=1/16!\n");
! 91: fprintf (stderr, "Expected ");
! 92: mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
! 93: fprintf (stderr, "\nGot ");
! 94: mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
! 95: fprintf (stderr, "\n");
! 96: exit (1);
! 97: }
! 98:
! 99: for (xprec = 53; xprec <= 128; xprec++)
! 100: {
! 101: mpfr_set_prec (x, xprec);
! 102: mpfr_set_str_raw (x, "0.1100100100001111110011111000000011011100001100110111E2");
! 103: for (yprec = 53; yprec <= 128; yprec++)
! 104: {
! 105: mpfr_set_prec (y, yprec);
! 106: mpfr_div_ui (y, x, 1, GMP_RNDN);
! 107: if (mpfr_get_d1 (x) != mpfr_get_d1 (y))
! 108: {
! 109: fprintf (stderr, "division by 1.0 fails for xprec=%u, yprec=%u\n", xprec, yprec);
! 110: printf ("expected "); mpfr_print_binary (x); putchar ('\n');
! 111: printf ("got "); mpfr_print_binary (y); putchar ('\n');
! 112: exit (1);
! 113: }
! 114: }
! 115: }
! 116:
! 117: mpfr_clear (x);
! 118: mpfr_clear (y);
! 119: }
! 120:
! 121: void
! 122: check_inexact (void)
! 123: {
! 124: mpfr_t x, y, z;
! 125: mp_prec_t px, py;
! 126: int inexact, cmp;
! 127: unsigned long int u;
! 128: mp_rnd_t rnd;
! 129:
! 130: mpfr_init (x);
! 131: mpfr_init (y);
! 132: mpfr_init (z);
! 133:
! 134: for (px=2; px<300; px++)
! 135: {
! 136: mpfr_set_prec (x, px);
! 137: mpfr_random (x);
! 138: do { u = LONG_RAND (); } while (u == 0);
! 139: for (py=2; py<300; py++)
! 140: {
! 141: mpfr_set_prec (y, py);
! 142: mpfr_set_prec (z, py + mp_bits_per_limb);
! 143: for (rnd=0; rnd<4; rnd++)
! 144: {
! 145: inexact = mpfr_div_ui (y, x, u, rnd);
! 146: if (mpfr_mul_ui (z, y, u, rnd))
! 147: {
! 148: fprintf (stderr, "z <- y * u should be exact for u=%lu\n", u);
! 149: printf ("y="); mpfr_print_binary (y); putchar ('\n');
! 150: printf ("z="); mpfr_print_binary (z); putchar ('\n');
! 151: exit (1);
! 152: }
! 153: cmp = mpfr_cmp (z, x);
! 154: if (((inexact == 0) && (cmp != 0)) ||
! 155: ((inexact > 0) && (cmp <= 0)) ||
! 156: ((inexact < 0) && (cmp >= 0)))
! 157: {
! 158: fprintf (stderr, "Wrong inexact flag for u=%lu, rnd=%s\n", u,
! 159: mpfr_print_rnd_mode(rnd));
! 160: printf ("x="); mpfr_print_binary (x); putchar ('\n');
! 161: printf ("y="); mpfr_print_binary (y); putchar ('\n');
! 162: exit (1);
! 163: }
! 164: }
! 165: }
! 166: }
! 167:
! 168: mpfr_clear (x);
! 169: mpfr_clear (y);
! 170: mpfr_clear (z);
! 171: }
! 172:
! 173: int
! 174: main (int argc, char **argv)
! 175: {
! 176: mpfr_t x;
! 177: #ifdef MPFR_HAVE_FESETROUND
! 178: int i;
! 179: unsigned long u;
! 180: double d;
! 181:
! 182: mpfr_test_init ();
! 183:
! 184: SEED_RAND (time(NULL));
! 185: for (i=0;i<1000000;i++)
! 186: {
! 187: do { u = LONG_RAND(); } while (u==0);
! 188: do { d = drand(); } while (ABS(d/u)<2.2e-307);
! 189: check (d, u, LONG_RAND() % 4, 0.0);
! 190: }
! 191: #endif
! 192:
! 193: check_inexact ();
! 194:
! 195: special ();
! 196:
! 197: check(1.0, 3, GMP_RNDN, 3.3333333333333331483e-1);
! 198: check(1.0, 3, GMP_RNDZ, 3.3333333333333331483e-1);
! 199: check(1.0, 3, GMP_RNDU, 3.3333333333333337034e-1);
! 200: check(1.0, 3, GMP_RNDD, 3.3333333333333331483e-1);
! 201: check(1.0, 2116118, GMP_RNDN, 4.7256343927890600483e-7);
! 202: check(1.098612288668109782, 5, GMP_RNDN, 0.21972245773362195087);
! 203:
! 204: mpfr_init2(x, 100);
! 205: mpfr_set_prec(x, 53);
! 206: mpfr_set_ui(x, 3, GMP_RNDD);
! 207: mpfr_log(x, x, GMP_RNDD);
! 208: mpfr_div_ui(x, x, 5, GMP_RNDD);
! 209: if (mpfr_get_d1 (x) != 0.21972245773362189536) {
! 210: fprintf(stderr, "Error in mpfr_div_ui for x=ln(3), u=5\n"); exit(1);
! 211: }
! 212: mpfr_clear(x);
! 213:
! 214: return 0;
! 215: }
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