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