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