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Annotation of OpenXM_contrib/gmp/mpfr/tests/trandom.c, Revision 1.1

1.1     ! ohara       1: /* Test file for the various mpfr_random fonctions.
        !             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 <math.h>
        !            25: #include <time.h>
        !            26: #include "gmp.h"
        !            27: #include "mpfr.h"
        !            28: #include "mpfr-impl.h"
        !            29:
        !            30: void test_random _PROTO ((unsigned long, unsigned long, int));
        !            31: void test_random2 _PROTO ((unsigned long, unsigned long, int));
        !            32: void test_urandomb _PROTO ((unsigned long, unsigned long, int));
        !            33:
        !            34: void
        !            35: test_random (unsigned long nbtests, unsigned long prec, int verbose)
        !            36: {
        !            37:   mpfr_t x;
        !            38:   int *tab, size_tab, k;
        !            39:   double d, av = 0, var = 0, chi2 = 0, th;
        !            40:
        !            41:   mpfr_init2(x, prec);
        !            42:
        !            43:   size_tab = (nbtests < 1000 ? nbtests / 50 : 20);
        !            44:   tab = (int *) malloc (size_tab * sizeof(int));
        !            45:   for (k = 0; k < size_tab; ++k) tab[k] = 0;
        !            46:
        !            47:   for (k = 0; k < nbtests; k++) {
        !            48:     mpfr_random(x);
        !            49:     d = mpfr_get_d1 (x); av += d; var += d*d;
        !            50:     tab[(int)(size_tab * d)]++;
        !            51:   }
        !            52:
        !            53:   mpfr_clear(x);
        !            54:   if (!verbose) { free(tab); return; }
        !            55:
        !            56:   av /= nbtests;
        !            57:   var = (var /nbtests) - av*av;
        !            58:
        !            59:   th = (double)nbtests / size_tab;
        !            60:
        !            61:   printf("Average = %.5f\nVariance = %.5f\n", av, var);
        !            62:   printf("Repartition for random. Each integer should be close to %d.\n",
        !            63:         (int)th);
        !            64:
        !            65:   for (k = 0; k < size_tab; k++) {
        !            66:     chi2 += (tab[k] - th) * (tab[k] - th) / th;
        !            67:     printf("%d ", tab[k]);
        !            68:     if (((k+1) & 7) == 0) printf("\n");
        !            69:   }
        !            70:
        !            71:   printf("\nChi2 statistics value (with %d degrees of freedom) : %.5f\n\n",
        !            72:         size_tab - 1, chi2);
        !            73:
        !            74:   printf("\n");
        !            75:
        !            76:   free(tab);
        !            77:   return;
        !            78: }
        !            79:
        !            80: void
        !            81: test_random2 (unsigned long nbtests, unsigned long prec, int verbose)
        !            82: {
        !            83:   mpfr_t x;
        !            84:   int *tab, size_tab, k;
        !            85:   double d, av = 0, var = 0, chi2 = 0, th;
        !            86:
        !            87:   mpfr_init2(x, prec);
        !            88:
        !            89:   size_tab = (nbtests < 1000 ? nbtests / 50 : 20);
        !            90:   tab = (int *) malloc (size_tab * sizeof(int));
        !            91:   for (k = 0; k < size_tab; ++k) tab[k] = 0;
        !            92:
        !            93:   for (k = 0; k < nbtests; k++) {
        !            94:     mpfr_random2 (x, MPFR_ABSSIZE(x), 0);
        !            95:     d = mpfr_get_d1 (x); av += d; var += d*d;
        !            96:     if (d < 1)
        !            97:       tab[(int)(size_tab * d)]++;
        !            98:   }
        !            99:
        !           100:   mpfr_clear(x);
        !           101:   if (!verbose) { free(tab); return; }
        !           102:
        !           103:   av /= nbtests;
        !           104:   var = (var /nbtests) - av*av;
        !           105:
        !           106:   th = (double)nbtests / size_tab;
        !           107:   printf("Average = %.5f\nVariance = %.5f\n", av, var);
        !           108:   printf("Repartition for random2 (taking only values < 1 into account.\n");
        !           109:
        !           110:   for (k = 0; k < size_tab; k++) {
        !           111:     chi2 += (tab[k] - th) * (tab[k] - th) / th;
        !           112:     printf("%d ", tab[k]);
        !           113:     if (((k+1) & 7) == 0) printf("\n");
        !           114:   }
        !           115:
        !           116:   printf("\nChi2 statistics value (with %d degrees of freedom) : %.5f\n\n",
        !           117:         size_tab - 1, chi2);
        !           118:
        !           119:   free(tab);
        !           120:   return;
        !           121: }
        !           122:
        !           123: void
        !           124: test_urandomb (unsigned long nbtests, unsigned long prec, int verbose)
        !           125: {
        !           126:   mpfr_t x;
        !           127:   int *tab, size_tab, k;
        !           128:   gmp_randstate_t state;
        !           129:   double d, av = 0, var = 0, chi2 = 0, th;
        !           130:
        !           131:   mpfr_init2(x, prec);
        !           132:
        !           133:   size_tab = (nbtests < 1000 ? nbtests / 50 : 20);
        !           134:   tab = (int *) malloc (size_tab * sizeof(int));
        !           135:   for (k = 0; k < size_tab; ++k) tab[k] = 0;
        !           136:
        !           137:   gmp_randinit (state, GMP_RAND_ALG_LC, 128);
        !           138:   gmp_randseed_ui (state, time(NULL));
        !           139:
        !           140:   for (k = 0; k < nbtests; k++) {
        !           141:     mpfr_urandomb(x, state);
        !           142:     d = mpfr_get_d1 (x); av += d; var += d*d;
        !           143:     tab[(int)(size_tab * d)]++;
        !           144:   }
        !           145:
        !           146:   mpfr_clear(x);
        !           147:   gmp_randclear(state);
        !           148:   if (!verbose) { free(tab); return; }
        !           149:
        !           150:   av /= nbtests;
        !           151:   var = (var /nbtests) - av*av;
        !           152:
        !           153:   th = (double)nbtests / size_tab;
        !           154:   printf("Average = %.5f\nVariance = %.5f\n", av, var);
        !           155:   printf("Repartition for urandomb. Each integer should be close to %d.\n",
        !           156:         (int)th);
        !           157:
        !           158:   for (k = 0; k < size_tab; k++) {
        !           159:     chi2 += (tab[k] - th) * (tab[k] - th) / th;
        !           160:     printf("%d ", tab[k]);
        !           161:     if (((k+1) & 7) == 0) printf("\n");
        !           162:   }
        !           163:
        !           164:   printf("\nChi2 statistics value (with %d degrees of freedom) : %.5f\n\n",
        !           165:         size_tab - 1, chi2);
        !           166:
        !           167:   free(tab);
        !           168:   return;
        !           169: }
        !           170:
        !           171: int
        !           172: main (int argc, char *argv[])
        !           173: {
        !           174:   unsigned long nbtests, prec; int verbose = 0;
        !           175:
        !           176:   if (argc > 1) verbose = 1;
        !           177:
        !           178:   if (argc == 1) { nbtests = 10000; } else nbtests = atoi(argv[1]);
        !           179:   if (argc <= 2) { prec = 1000; } else prec = atoi(argv[2]);
        !           180:
        !           181:   test_random(nbtests, prec, verbose);
        !           182:   test_random2(nbtests, prec, verbose);
        !           183:   test_urandomb(nbtests, prec, verbose);
        !           184:
        !           185:   return 0;
        !           186: }

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