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