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

1.1       ohara       1: /* Test mpz_abs, mpz_add, mpz_cmp, mpz_cmp_ui, mpz_cdiv_qr_ui, mpz_cdiv_q_ui,
                      2:    mpz_cdiv_r_ui, , mpz_cdiv_ui, mpz_mul_ui.
                      3:
                      4: Copyright 1993, 1994, 1996, 2000, 2001, 2002 Free Software Foundation, Inc.
                      5:
                      6: This file is part of the GNU MP Library.
                      7:
                      8: The GNU MP Library is free software; you can redistribute it and/or modify
                      9: it under the terms of the GNU Lesser General Public License as published by
                     10: the Free Software Foundation; either version 2.1 of the License, or (at your
                     11: option) any later version.
                     12:
                     13: The GNU MP Library is distributed in the hope that it will be useful, but
                     14: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
                     15: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
                     16: License for more details.
                     17:
                     18: You should have received a copy of the GNU Lesser General Public License
                     19: along with the GNU MP Library; see the file COPYING.LIB.  If not, write to
                     20: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
                     21: MA 02111-1307, USA. */
                     22:
                     23: #include <stdio.h>
                     24: #include <stdlib.h>
                     25:
                     26: #include "gmp.h"
                     27: #include "gmp-impl.h"
                     28: #include "tests.h"
                     29:
                     30: void dump_abort _PROTO ((char *, mpz_t, unsigned long));
                     31: void debug_mp _PROTO ((mpz_t, int));
                     32:
                     33: int
                     34: main (int argc, char **argv)
                     35: {
                     36:   mpz_t dividend;
                     37:   mpz_t quotient, remainder;
                     38:   mpz_t quotient2, remainder2;
                     39:   mpz_t temp;
                     40:   mp_size_t dividend_size;
                     41:   unsigned long divisor;
                     42:   int i;
                     43:   int reps = 10000;
                     44:   gmp_randstate_ptr rands;
                     45:   mpz_t bs;
                     46:   unsigned long bsi, size_range;
                     47:   unsigned long r_rq, r_q, r_r, r;
                     48:
                     49:   tests_start ();
                     50:   rands = RANDS;
                     51:
                     52:   mpz_init (bs);
                     53:
                     54:   if (argc == 2)
                     55:      reps = atoi (argv[1]);
                     56:
                     57:   mpz_init (dividend);
                     58:   mpz_init (quotient);
                     59:   mpz_init (remainder);
                     60:   mpz_init (quotient2);
                     61:   mpz_init (remainder2);
                     62:   mpz_init (temp);
                     63:
                     64:   for (i = 0; i < reps; i++)
                     65:     {
                     66:       mpz_urandomb (bs, rands, 32);
                     67:       size_range = mpz_get_ui (bs) % 10 + 2; /* 0..2047 bit operands */
                     68:
                     69:       do
                     70:        {
                     71:          mpz_rrandomb (bs, rands, 64);
                     72:          divisor = mpz_get_ui (bs);
                     73:        }
                     74:       while (divisor == 0);
                     75:
                     76:       mpz_urandomb (bs, rands, size_range);
                     77:       dividend_size = mpz_get_ui (bs);
                     78:       mpz_rrandomb (dividend, rands, dividend_size);
                     79:
                     80:       mpz_urandomb (bs, rands, 2);
                     81:       bsi = mpz_get_ui (bs);
                     82:       if ((bsi & 1) != 0)
                     83:        mpz_neg (dividend, dividend);
                     84:
                     85:       /* printf ("%ld\n", SIZ (dividend)); */
                     86:
                     87:       r_rq = mpz_cdiv_qr_ui (quotient, remainder, dividend, divisor);
                     88:       r_q = mpz_cdiv_q_ui (quotient2, dividend, divisor);
                     89:       r_r = mpz_cdiv_r_ui (remainder2, dividend, divisor);
                     90:       r = mpz_cdiv_ui (dividend, divisor);
                     91:
                     92:       /* First determine that the quotients and remainders computed
                     93:         with different functions are equal.  */
                     94:       if (mpz_cmp (quotient, quotient2) != 0)
                     95:        dump_abort ("quotients from mpz_cdiv_qr_ui and mpz_cdiv_q_ui differ",
                     96:                    dividend, divisor);
                     97:       if (mpz_cmp (remainder, remainder2) != 0)
                     98:        dump_abort ("remainders from mpz_cdiv_qr_ui and mpz_cdiv_r_ui differ",
                     99:                    dividend, divisor);
                    100:
                    101:       /* Check if the sign of the quotient is correct.  */
                    102:       if (mpz_cmp_ui (quotient, 0) != 0)
                    103:        if ((mpz_cmp_ui (quotient, 0) < 0)
                    104:            != (mpz_cmp_ui (dividend, 0) < 0))
                    105:        dump_abort ("quotient sign wrong", dividend, divisor);
                    106:
                    107:       /* Check if the remainder has the opposite sign as the (positive) divisor
                    108:         (quotient rounded towards minus infinity).  */
                    109:       if (mpz_cmp_ui (remainder, 0) != 0)
                    110:        if (mpz_cmp_ui (remainder, 0) > 0)
                    111:          dump_abort ("remainder sign wrong", dividend, divisor);
                    112:
                    113:       mpz_mul_ui (temp, quotient, divisor);
                    114:       mpz_add (temp, temp, remainder);
                    115:       if (mpz_cmp (temp, dividend) != 0)
                    116:        dump_abort ("n mod d != n - [n/d]*d", dividend, divisor);
                    117:
                    118:       mpz_abs (remainder, remainder);
                    119:       if (mpz_cmp_ui (remainder, divisor) >= 0)
                    120:        dump_abort ("remainder greater than divisor", dividend, divisor);
                    121:
                    122:       if (mpz_cmp_ui (remainder, r_rq) != 0)
                    123:        dump_abort ("remainder returned from mpz_cdiv_qr_ui is wrong",
                    124:                    dividend, divisor);
                    125:       if (mpz_cmp_ui (remainder, r_q) != 0)
                    126:        dump_abort ("remainder returned from mpz_cdiv_q_ui is wrong",
                    127:                    dividend, divisor);
                    128:       if (mpz_cmp_ui (remainder, r_r) != 0)
                    129:        dump_abort ("remainder returned from mpz_cdiv_r_ui is wrong",
                    130:                    dividend, divisor);
                    131:       if (mpz_cmp_ui (remainder, r) != 0)
                    132:        dump_abort ("remainder returned from mpz_cdiv_ui is wrong",
                    133:                    dividend, divisor);
                    134:     }
                    135:
                    136:   mpz_clear (bs);
                    137:   mpz_clear (dividend);
                    138:   mpz_clear (quotient);
                    139:   mpz_clear (remainder);
                    140:   mpz_clear (quotient2);
                    141:   mpz_clear (remainder2);
                    142:   mpz_clear (temp);
                    143:
                    144:   tests_end ();
                    145:   exit (0);
                    146: }
                    147:
                    148: void
                    149: dump_abort (char *str, mpz_t dividend, unsigned long divisor)
                    150: {
                    151:   fprintf (stderr, "ERROR: %s\n", str);
                    152:   fprintf (stderr, "dividend = "); debug_mp (dividend, -16);
                    153:   fprintf (stderr, "divisor  = %lX\n", divisor);
                    154:   abort();
                    155: }
                    156:
                    157: void
                    158: debug_mp (mpz_t x, int base)
                    159: {
                    160:   mpz_out_str (stderr, base, x); fputc ('\n', stderr);
                    161: }

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