(root)/
gmp-6.3.0/
tests/
mpf/
t-div.c
       1  /* Test mpf_div.
       2  
       3  Copyright 2004 Free Software Foundation, Inc.
       4  
       5  This file is part of the GNU MP Library test suite.
       6  
       7  The GNU MP Library test suite is free software; you can redistribute it
       8  and/or modify it under the terms of the GNU General Public License as
       9  published by the Free Software Foundation; either version 3 of the License,
      10  or (at your option) any later version.
      11  
      12  The GNU MP Library test suite is distributed in the hope that it will be
      13  useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
      14  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General
      15  Public License for more details.
      16  
      17  You should have received a copy of the GNU General Public License along with
      18  the GNU MP Library test suite.  If not, see https://www.gnu.org/licenses/.  */
      19  
      20  #include <stdio.h>
      21  #include <stdlib.h>
      22  #include "gmp-impl.h"
      23  #include "tests.h"
      24  
      25  
      26  void
      27  check_one (const char *desc, mpf_ptr got, mpf_srcptr u, mpf_srcptr v)
      28  {
      29    if (! refmpf_validate_division ("mpf_div", got, u, v))
      30      {
      31        mp_trace_base = -16;
      32        mpf_trace ("  u", u);
      33        mpf_trace ("  v", v);
      34        printf    ("  %s\n", desc);
      35        abort ();
      36      }
      37  }
      38  
      39  void
      40  check_rand (void)
      41  {
      42    unsigned long  min_prec = __GMPF_BITS_TO_PREC (1);
      43    gmp_randstate_ptr  rands = RANDS;
      44    unsigned long  prec;
      45    mpf_t  got, u, v;
      46    int    i;
      47  
      48    mpf_init (got);
      49    mpf_init (u);
      50    mpf_init (v);
      51  
      52    /* separate */
      53    for (i = 0; i < 100; i++)
      54      {
      55        /* got precision */
      56        prec = min_prec + gmp_urandomm_ui (rands, 15L);
      57        refmpf_set_prec_limbs (got, prec);
      58  
      59        /* u */
      60        prec = min_prec + gmp_urandomm_ui (rands, 15L);
      61        refmpf_set_prec_limbs (u, prec);
      62        do {
      63          mpf_random2 (u, PREC(u), (mp_exp_t) 20);
      64        } while (SIZ(u) == 0);
      65        if (gmp_urandomb_ui (rands, 1L))
      66          mpf_neg (u, u);
      67  
      68        /* v */
      69        prec = min_prec + gmp_urandomm_ui (rands, 15L);
      70        refmpf_set_prec_limbs (v, prec);
      71        do {
      72          mpf_random2 (v, PREC(v), (mp_exp_t) 20);
      73        } while (SIZ(v) == 0);
      74        if (gmp_urandomb_ui (rands, 1L))
      75          mpf_neg (v, v);
      76  
      77        switch (i % 3) {
      78        case 0:
      79          mpf_div (got, u, v);
      80          check_one ("separate", got, u, v);
      81          break;
      82        case 1:
      83          prec = refmpf_set_overlap (got, u);
      84          mpf_div (got, got, v);
      85          check_one ("dst == u", got, u, v);
      86          mpf_set_prec_raw (got, prec);
      87          break;
      88        case 2:
      89          prec = refmpf_set_overlap (got, v);
      90          mpf_div (got, u, got);
      91          check_one ("dst == v", got, u, v);
      92          mpf_set_prec_raw (got, prec);
      93          break;
      94        }
      95      }
      96  
      97    mpf_clear (got);
      98    mpf_clear (u);
      99    mpf_clear (v);
     100  }
     101  
     102  /* Exercise calls mpf(x,x,x) */
     103  void
     104  check_reuse_three (void)
     105  {
     106    unsigned long  min_prec = __GMPF_BITS_TO_PREC (1);
     107    gmp_randstate_ptr  rands = RANDS;
     108    unsigned long  result_prec, input_prec, set_prec;
     109    mpf_t  got;
     110    int    i;
     111  
     112    mpf_init (got);
     113  
     114    for (i = 0; i < 8; i++)
     115      {
     116        result_prec = min_prec + gmp_urandomm_ui (rands, 15L);
     117        input_prec = min_prec + gmp_urandomm_ui (rands, 15L);
     118  
     119        set_prec = MAX (result_prec, input_prec);
     120        refmpf_set_prec_limbs (got, set_prec);
     121  
     122        /* input, non-zero, possibly negative */
     123        PREC(got) = input_prec;
     124        do {
     125          mpf_random2 (got, input_prec, (mp_exp_t) 20);
     126        } while (SIZ(got) == 0);
     127        if (gmp_urandomb_ui (rands, 1L))
     128          mpf_neg (got, got);
     129  
     130        PREC(got) = result_prec;
     131  
     132        mpf_div (got, got, got);
     133  
     134        /* expect exactly 1.0 always */
     135        ASSERT_ALWAYS (mpf_cmp_ui (got, 1L) == 0);
     136  
     137        PREC(got) = set_prec;
     138      }
     139  
     140    mpf_clear (got);
     141  }
     142  
     143  void
     144  check_various (void)
     145  {
     146    mpf_t got, u, v;
     147  
     148    mpf_init (got);
     149    mpf_init (u);
     150    mpf_init (v);
     151  
     152    /* 100/4 == 25 */
     153    mpf_set_prec (got, 20L);
     154    mpf_set_ui (u, 100L);
     155    mpf_set_ui (v, 4L);
     156    mpf_div (got, u, v);
     157    MPF_CHECK_FORMAT (got);
     158    ASSERT_ALWAYS (mpf_cmp_ui (got, 25L) == 0);
     159  
     160    /* 1/(2^n+1), a case where truncating the divisor would be wrong */
     161    mpf_set_prec (got, 500L);
     162    mpf_set_prec (v, 900L);
     163    mpf_set_ui (v, 1L);
     164    mpf_mul_2exp (v, v, 800L);
     165    mpf_add_ui (v, v, 1L);
     166    mpf_div (got, u, v);
     167    check_one ("1/2^n+1, separate", got, u, v);
     168  
     169    mpf_clear (got);
     170    mpf_clear (u);
     171    mpf_clear (v);
     172  }
     173  
     174  int
     175  main (void)
     176  {
     177    tests_start ();
     178  
     179    check_various ();
     180    check_rand ();
     181    check_reuse_three ();
     182  
     183    tests_end ();
     184    exit (0);
     185  }