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Annotation of OpenXM_contrib/gmp/tests/mpz/t-root.c, Revision 1.1.1.1

1.1       ohara       1: /* Test mpz_add, mpz_add_ui, mpz_cmp, mpz_cmp, mpz_mul, mpz_sqrtrem.
                      2:
                      3: Copyright 1991, 1993, 1994, 1996, 2000, 2001, 2002 Free Software Foundation, Inc.
                      4:
                      5: This file is part of the GNU MP Library.
                      6:
                      7: The GNU MP 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 GNU MP 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 GNU MP 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:
                     25: #include "gmp.h"
                     26: #include "gmp-impl.h"
                     27: #include "tests.h"
                     28:
                     29: void debug_mp _PROTO ((mpz_t, int));
                     30:
                     31: int
                     32: main (int argc, char **argv)
                     33: {
                     34:   mpz_t x2;
                     35:   mpz_t x;
                     36:   mpz_t temp, temp2;
                     37:   mp_size_t x2_size;
                     38:   int i;
                     39:   int reps = 1000;
                     40:   unsigned long nth;
                     41:   gmp_randstate_ptr rands;
                     42:   mpz_t bs;
                     43:   unsigned long bsi, size_range;
                     44:
                     45:   tests_start ();
                     46:   rands = RANDS;
                     47:
                     48:   mpz_init (bs);
                     49:
                     50:   if (argc == 2)
                     51:      reps = atoi (argv[1]);
                     52:
                     53:   mpz_init (x2);
                     54:   mpz_init (x);
                     55:   mpz_init (temp);
                     56:   mpz_init (temp2);
                     57:
                     58:   for (i = 0; i < reps; i++)
                     59:     {
                     60:       mpz_urandomb (bs, rands, 32);
                     61:       size_range = mpz_get_ui (bs) % 12 + 2;
                     62:
                     63:       mpz_urandomb (bs, rands, size_range);
                     64:       x2_size = mpz_get_ui (bs) + 10;
                     65:       mpz_rrandomb (x2, rands, x2_size);
                     66:
                     67:       mpz_urandomb (bs, rands, 15);
                     68:       nth = mpz_getlimbn (bs, 0) % mpz_sizeinbase (x2, 2) + 2;
                     69:
                     70:       mpz_root (x, x2, nth);
                     71:
                     72:       mpz_urandomb (bs, rands, 4);
                     73:       bsi = mpz_get_ui (bs);
                     74:       if ((bsi & 1) != 0)
                     75:        {
                     76:          /* With 50% probability, set x2 near a perfect power.  */
                     77:          mpz_pow_ui (x2, x, nth);
                     78:          if ((bsi & 2) != 0)
                     79:            {
                     80:              mpz_sub_ui (x2, x2, bsi >> 2);
                     81:              mpz_abs (x2, x2);
                     82:            }
                     83:          else
                     84:            mpz_add_ui (x2, x2, bsi >> 2);
                     85:          mpz_root (x, x2, nth);
                     86:        }
                     87:
                     88:       /* printf ("%ld %lu\n", SIZ (x2), nth); */
                     89:
                     90:       mpz_pow_ui (temp, x, nth);
                     91:
                     92:       /* Is power of result > argument?  */
                     93:       if (mpz_cmp (temp, x2) > 0)
                     94:        {
                     95:          fprintf (stderr, "ERROR after test %d\n", i);
                     96:          debug_mp (x2, 10);
                     97:          debug_mp (x, 10);
                     98:          fprintf (stderr, "nth: %lu\n", nth);
                     99:          abort ();
                    100:        }
                    101:
                    102:       if (nth > 1 && mpz_cmp_ui (temp, 1L) > 0 && ! mpz_perfect_power_p (temp))
                    103:        {
                    104:          fprintf (stderr, "ERROR in mpz_perfect_power_p after test %d\n", i);
                    105:          debug_mp (temp, 10);
                    106:          debug_mp (x, 10);
                    107:          fprintf (stderr, "nth: %lu\n", nth);
                    108:          abort ();
                    109:        }
                    110:
                    111:       if (nth > 10000)
                    112:        continue;               /* skip too expensive test */
                    113:
                    114:       mpz_add_ui (temp2, x, 1L);
                    115:       mpz_pow_ui (temp2, temp2, nth);
                    116:
                    117:       /* Is square of (result + 1) <= argument?  */
                    118:       if (mpz_cmp (temp2, x2) <= 0)
                    119:        {
                    120:          fprintf (stderr, "ERROR after test %d\n", i);
                    121:          debug_mp (x2, 10);
                    122:          debug_mp (x, 10);
                    123:          fprintf (stderr, "nth: %lu\n", nth);
                    124:          abort ();
                    125:        }
                    126:     }
                    127:
                    128:   mpz_clear (bs);
                    129:   mpz_clear (x2);
                    130:   mpz_clear (x);
                    131:   mpz_clear (temp);
                    132:   mpz_clear (temp2);
                    133:
                    134:   tests_end ();
                    135:   exit (0);
                    136: }
                    137:
                    138: void
                    139: debug_mp (mpz_t x, int base)
                    140: {
                    141:   mpz_out_str (stderr, base, x); fputc ('\n', stderr);
                    142: }

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