1/* Test mpz_abs, mpz_add, mpz_cmp, mpz_cmp_ui, mpz_fdiv_qr, mpz_fdiv_q,
2   mpz_fdiv_r, mpz_mul.
3
4Copyright 1993, 1994, 1996, 2000, 2001 Free Software Foundation, Inc.
5
6This file is part of the GNU MP Library.
7
8The GNU MP Library is free software; you can redistribute it and/or modify
9it under the terms of the GNU Lesser General Public License as published by
10the Free Software Foundation; either version 3 of the License, or (at your
11option) any later version.
12
13The GNU MP Library is distributed in the hope that it will be useful, but
14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16License for more details.
17
18You should have received a copy of the GNU Lesser General Public License
19along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
20
21#include <stdio.h>
22#include <stdlib.h>
23
24#include "gmp.h"
25#include "gmp-impl.h"
26#include "tests.h"
27
28void dump_abort __GMP_PROTO ((mpz_t, mpz_t));
29void debug_mp __GMP_PROTO ((mpz_t, int));
30
31int
32main (int argc, char **argv)
33{
34  mpz_t dividend, divisor;
35  mpz_t quotient, remainder;
36  mpz_t quotient2, remainder2;
37  mpz_t temp;
38  mp_size_t dividend_size, divisor_size;
39  int i;
40  int reps = 1000;
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 (dividend);
54  mpz_init (divisor);
55  mpz_init (quotient);
56  mpz_init (remainder);
57  mpz_init (quotient2);
58  mpz_init (remainder2);
59  mpz_init (temp);
60
61  for (i = 0; i < reps; i++)
62    {
63      mpz_urandomb (bs, rands, 32);
64      size_range = mpz_get_ui (bs) % 16 + 2; /* 0..131071 bit operands */
65
66      do
67	{
68	  mpz_urandomb (bs, rands, size_range);
69	  divisor_size = mpz_get_ui (bs);
70	  mpz_rrandomb (divisor, rands, divisor_size);
71	}
72      while (mpz_sgn (divisor) == 0);
73
74      mpz_urandomb (bs, rands, size_range);
75      dividend_size = mpz_get_ui (bs) + divisor_size;
76      mpz_rrandomb (dividend, rands, dividend_size);
77
78      mpz_urandomb (bs, rands, 2);
79      bsi = mpz_get_ui (bs);
80      if ((bsi & 1) != 0)
81	mpz_neg (dividend, dividend);
82      if ((bsi & 2) != 0)
83	mpz_neg (divisor, divisor);
84
85      /* printf ("%ld %ld\n", SIZ (dividend), SIZ (divisor)); */
86
87      mpz_fdiv_qr (quotient, remainder, dividend, divisor);
88      mpz_fdiv_q (quotient2, dividend, divisor);
89      mpz_fdiv_r (remainder2, dividend, divisor);
90
91      /* First determine that the quotients and remainders computed
92	 with different functions are equal.  */
93      if (mpz_cmp (quotient, quotient2) != 0)
94	dump_abort (dividend, divisor);
95      if (mpz_cmp (remainder, remainder2) != 0)
96	dump_abort (dividend, divisor);
97
98      /* Check if the sign of the quotient is correct.  */
99      if (mpz_cmp_ui (quotient, 0) != 0)
100	if ((mpz_cmp_ui (quotient, 0) < 0)
101	    != ((mpz_cmp_ui (dividend, 0) ^ mpz_cmp_ui (divisor, 0)) < 0))
102	dump_abort (dividend, divisor);
103
104      /* Check if the remainder has the same sign as the divisor
105	 (quotient rounded towards minus infinity).  */
106      if (mpz_cmp_ui (remainder, 0) != 0)
107	if ((mpz_cmp_ui (remainder, 0) < 0) != (mpz_cmp_ui (divisor, 0) < 0))
108	  dump_abort (dividend, divisor);
109
110      mpz_mul (temp, quotient, divisor);
111      mpz_add (temp, temp, remainder);
112      if (mpz_cmp (temp, dividend) != 0)
113	dump_abort (dividend, divisor);
114
115      mpz_abs (temp, divisor);
116      mpz_abs (remainder, remainder);
117      if (mpz_cmp (remainder, temp) >= 0)
118	dump_abort (dividend, divisor);
119    }
120
121  mpz_clear (bs);
122  mpz_clear (dividend);
123  mpz_clear (divisor);
124  mpz_clear (quotient);
125  mpz_clear (remainder);
126  mpz_clear (quotient2);
127  mpz_clear (remainder2);
128  mpz_clear (temp);
129
130  tests_end ();
131  exit (0);
132}
133
134void
135dump_abort (mpz_t dividend, mpz_t divisor)
136{
137  fprintf (stderr, "ERROR\n");
138  fprintf (stderr, "dividend = "); debug_mp (dividend, -16);
139  fprintf (stderr, "divisor  = "); debug_mp (divisor, -16);
140  abort();
141}
142
143void
144debug_mp (mpz_t x, int base)
145{
146  mpz_out_str (stderr, base, x); fputc ('\n', stderr);
147}
148