1/*
2 * rational numbers
3 * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at>
4 *
5 * This file is part of FFmpeg.
6 *
7 * FFmpeg is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU Lesser General Public
9 * License as published by the Free Software Foundation; either
10 * version 2.1 of the License, or (at your option) any later version.
11 *
12 * FFmpeg is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
15 * Lesser General Public License for more details.
16 *
17 * You should have received a copy of the GNU Lesser General Public
18 * License along with FFmpeg; if not, write to the Free Software
19 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
20 */
21
22#include "libavutil/rational.c"
23#include "libavutil/integer.h"
24
25int main(void)
26{
27    AVRational a,b,r;
28    int i,j,k;
29    static const int64_t numlist[] = {
30        INT64_MIN, INT64_MIN+1, INT64_MAX, INT32_MIN, INT32_MAX, 1,0,-1,
31        123456789, INT32_MAX-1, INT32_MAX+1LL, UINT32_MAX-1, UINT32_MAX, UINT32_MAX+1LL
32    };
33
34    for (a.num = -2; a.num <= 2; a.num++) {
35        for (a.den = -2; a.den <= 2; a.den++) {
36            for (b.num = -2; b.num <= 2; b.num++) {
37                for (b.den = -2; b.den <= 2; b.den++) {
38                    int c = av_cmp_q(a,b);
39                    double d = av_q2d(a) == av_q2d(b) ?
40                               0 : (av_q2d(a) - av_q2d(b));
41                    if (d > 0)       d = 1;
42                    else if (d < 0)  d = -1;
43                    else if (d != d) d = INT_MIN;
44                    if (c != d)
45                        av_log(NULL, AV_LOG_ERROR, "%d/%d %d/%d, %d %f\n", a.num,
46                               a.den, b.num, b.den, c,d);
47                    r = av_sub_q(av_add_q(b,a), b);
48                    if(b.den && (r.num*a.den != a.num*r.den || !r.num != !a.num || !r.den != !a.den))
49                        av_log(NULL, AV_LOG_ERROR, "%d/%d ", r.num, r.den);
50                }
51            }
52        }
53    }
54
55    for (i = 0; i < FF_ARRAY_ELEMS(numlist); i++) {
56        int64_t a = numlist[i];
57
58        for (j = 0; j < FF_ARRAY_ELEMS(numlist); j++) {
59            int64_t b = numlist[j];
60            if (b<=0)
61                continue;
62            for (k = 0; k < FF_ARRAY_ELEMS(numlist); k++) {
63                int64_t c = numlist[k];
64                int64_t res;
65                AVInteger ai;
66
67                if (c<=0)
68                    continue;
69                res = av_rescale_rnd(a,b,c, AV_ROUND_ZERO);
70
71                ai = av_mul_i(av_int2i(a), av_int2i(b));
72                ai = av_div_i(ai, av_int2i(c));
73
74                if (av_cmp_i(ai, av_int2i(INT64_MAX)) > 0 && res == INT64_MIN)
75                    continue;
76                if (av_cmp_i(ai, av_int2i(INT64_MIN)) < 0 && res == INT64_MIN)
77                    continue;
78                if (av_cmp_i(ai, av_int2i(res)) == 0)
79                    continue;
80
81                // Special exception for INT64_MIN, remove this in case INT64_MIN is handled without off by 1 error
82                if (av_cmp_i(ai, av_int2i(res-1)) == 0 && a == INT64_MIN)
83                    continue;
84
85                av_log(NULL, AV_LOG_ERROR, "%"PRId64" * %"PRId64" / %"PRId64" = %"PRId64" or %"PRId64"\n", a,b,c, res, av_i2int(ai));
86            }
87        }
88    }
89
90    for (a.num = 1; a.num <= 10; a.num++) {
91        for (a.den = 1; a.den <= 10; a.den++) {
92            if (av_gcd(a.num, a.den) > 1)
93                continue;
94            for (b.num = 1; b.num <= 10; b.num++) {
95                for (b.den = 1; b.den <= 10; b.den++) {
96                    int start;
97                    if (av_gcd(b.num, b.den) > 1)
98                        continue;
99                    if (av_cmp_q(b, a) < 0)
100                        continue;
101                    for (start = 0; start < 10 ; start++) {
102                        int acc= start;
103                        int i;
104
105                        for (i = 0; i<100; i++) {
106                            int exact = start + av_rescale_q(i+1, b, a);
107                            acc = av_add_stable(a, acc, b, 1);
108                            if (FFABS(acc - exact) > 2) {
109                                av_log(NULL, AV_LOG_ERROR, "%d/%d %d/%d, %d %d\n", a.num,
110                                       a.den, b.num, b.den, acc, exact);
111                                return 1;
112                            }
113                        }
114                    }
115                }
116            }
117        }
118    }
119
120    for (a.den = 1; a.den < 0x100000000U/3; a.den*=3) {
121        for (a.num = -1; a.num < (1<<27); a.num += 1 + a.num/100) {
122            float f  = av_int2float(av_q2intfloat(a));
123            float f2 = av_q2d(a);
124            if (fabs(f - f2) > fabs(f)/5000000) {
125                av_log(NULL, AV_LOG_ERROR, "%d/%d %f %f\n", a.num,
126                       a.den, f, f2);
127                return 1;
128            }
129
130        }
131    }
132
133    return 0;
134}
135