| Line | Branch | Exec | Source |
|---|---|---|---|
| 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 | #include "libavutil/intfloat.h" | ||
| 25 | |||
| 26 | 29555 | static int check_q2intfloat(AVRational q) | |
| 27 | { | ||
| 28 | 29555 | float f = av_int2float(av_q2intfloat(q)); | |
| 29 | 29555 | float f2 = av_q2d(q); | |
| 30 | int fail; | ||
| 31 | |||
| 32 |
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29555 | if (isnan(f) || isnan(f2)) |
| 33 |
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1 | fail = !isnan(f) || !isnan(f2); |
| 34 |
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29554 | else if (isinf(f) || isinf(f2)) |
| 35 | 3 | fail = f != f2; | |
| 36 | else | ||
| 37 | 29551 | fail = fabs(f - f2) > fabs(f)/5000000; | |
| 38 |
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29555 | if (fail) |
| 39 | ✗ | av_log(NULL, AV_LOG_ERROR, "%d/%d %f %f\n", q.num, q.den, f, f2); | |
| 40 | 29555 | return fail; | |
| 41 | } | ||
| 42 | |||
| 43 | 1 | int main(void) | |
| 44 | { | ||
| 45 | AVRational a,b,r; | ||
| 46 | int i,j,k; | ||
| 47 | 1 | int ret = 0; | |
| 48 | static const int64_t numlist[] = { | ||
| 49 | INT64_MIN, INT64_MIN+1, INT64_MAX, INT32_MIN, INT32_MAX, 1,0,-1, | ||
| 50 | 123456789, INT32_MAX-1, INT32_MAX+1LL, UINT32_MAX-1, UINT32_MAX, UINT32_MAX+1LL | ||
| 51 | }; | ||
| 52 | |||
| 53 |
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6 | for (a.num = -2; a.num <= 2; a.num++) { |
| 54 |
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30 | for (a.den = -2; a.den <= 2; a.den++) { |
| 55 |
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150 | for (b.num = -2; b.num <= 2; b.num++) { |
| 56 |
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750 | for (b.den = -2; b.den <= 2; b.den++) { |
| 57 | 625 | int c = av_cmp_q(a,b); | |
| 58 | 625 | double d = av_q2d(a) == av_q2d(b) ? | |
| 59 |
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625 | 0 : (av_q2d(a) - av_q2d(b)); |
| 60 |
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625 | if (d > 0) d = 1; |
| 61 |
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373 | else if (d < 0) d = -1; |
| 62 |
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121 | else if (d != d) d = INT_MIN; |
| 63 |
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625 | if (c != d) { |
| 64 | ✗ | av_log(NULL, AV_LOG_ERROR, "%d/%d %d/%d, %d %f\n", a.num, | |
| 65 | a.den, b.num, b.den, c,d); | ||
| 66 | ✗ | ret = 1; | |
| 67 | } | ||
| 68 | 625 | r = av_sub_q(av_add_q(b,a), b); | |
| 69 |
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625 | if(b.den && (r.num*a.den != a.num*r.den || !r.num != !a.num || !r.den != !a.den)) { |
| 70 | ✗ | av_log(NULL, AV_LOG_ERROR, "%d/%d ", r.num, r.den); | |
| 71 | ✗ | ret = 1; | |
| 72 | } | ||
| 73 | } | ||
| 74 | } | ||
| 75 | } | ||
| 76 | } | ||
| 77 | |||
| 78 | /* Check overflow behavior and edge cases */ | ||
| 79 | static const AVRational unit_mul_q[][3] = { | ||
| 80 | {{INT_MAX, 2}, { 2, 1}, { INT_MAX, 1}}, | ||
| 81 | {{INT_MAX, 2}, {-2, 1}, {-INT_MAX, 1}}, | ||
| 82 | {{INT_MAX, 2}, { 0, 1}, {0, 1}}, | ||
| 83 | {{INT_MIN, 2}, { 2, 1}, {-INT_MAX, 1}}, /* not INT_MIN */ | ||
| 84 | {{INT_MIN, 2}, {-2, 1}, { INT_MAX, 1}}, | ||
| 85 | {{INT_MIN, 2}, { 0, 1}, {0, 1}}, | ||
| 86 | {{INT_MAX >> 8, 1}, {INT_MAX >> 8, 1}, {INT_MAX, 1}}, | ||
| 87 | {{1, INT_MAX >> 8}, {1, INT_MAX >> 8}, {0, 1}}, | ||
| 88 | {{1, 1}, {0, 0}, {0, 0}}, | ||
| 89 | {{0, 1}, {0, 0}, {0, 0}}, | ||
| 90 | }; | ||
| 91 | |||
| 92 |
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11 | for (i = 0; i < FF_ARRAY_ELEMS(unit_mul_q); i++) { |
| 93 |
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30 | for (int c = 0; c < 2; c++) { /* test commutativity */ |
| 94 | 20 | AVRational a = unit_mul_q[i][c ? 1 : 0]; | |
| 95 | 20 | AVRational b = unit_mul_q[i][c ? 0 : 1]; | |
| 96 | 20 | AVRational c = unit_mul_q[i][2]; | |
| 97 | 20 | AVRational r = av_mul_q(a, b); | |
| 98 |
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20 | if (r.num != c.num || r.den != c.den) { |
| 99 | ✗ | av_log(NULL, AV_LOG_ERROR, "%d/%d * %d/%d = %d/%d, expected %d/%d\n", | |
| 100 | a.num, a.den, b.num, b.den, r.num, r.den, c.num, c.den); | ||
| 101 | ✗ | ret = 1; | |
| 102 | } | ||
| 103 | } | ||
| 104 | } | ||
| 105 | |||
| 106 | static const AVRational unit_add_q[][3] = { | ||
| 107 | {{INT_MAX, 1}, { 2, 2}, { INT_MAX, 1}}, | ||
| 108 | {{INT_MAX, 1}, {-2, 2}, { INT_MAX - 1, 1}}, | ||
| 109 | {{INT_MAX, 1}, { 0, 2}, { INT_MAX, 1}}, | ||
| 110 | {{INT_MIN, 1}, { 2, 2}, {-INT_MAX, 1}}, | ||
| 111 | {{INT_MIN, 1}, {-2, 2}, {-INT_MAX, 1}}, | ||
| 112 | {{INT_MIN, 1}, { 0, 2}, {-INT_MAX, 1}}, | ||
| 113 | {{INT_MAX - 10, 1}, {20, 1}, { INT_MAX, 1}}, | ||
| 114 | {{2, INT_MAX}, {2, INT_MAX}, {4, INT_MAX}}, | ||
| 115 | {{1, 1}, {0, 0}, {0, 0}}, | ||
| 116 | {{0, 1}, {0, 0}, {0, 0}}, | ||
| 117 | }; | ||
| 118 | |||
| 119 |
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11 | for (i = 0; i < FF_ARRAY_ELEMS(unit_add_q); i++) { |
| 120 |
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30 | for (int c = 0; c < 2; c++) { /* test commutativity */ |
| 121 | 20 | AVRational a = unit_add_q[i][c ? 1 : 0]; | |
| 122 | 20 | AVRational b = unit_add_q[i][c ? 0 : 1]; | |
| 123 | 20 | AVRational c = unit_add_q[i][2]; | |
| 124 | 20 | AVRational r = av_add_q(a, b); | |
| 125 |
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20 | if (r.num != c.num || r.den != c.den) { |
| 126 | ✗ | av_log(NULL, AV_LOG_ERROR, "%d/%d + %d/%d = %d/%d, expected %d/%d\n", | |
| 127 | a.num, a.den, b.num, b.den, r.num, r.den, c.num, c.den); | ||
| 128 | ✗ | ret = 1; | |
| 129 | } | ||
| 130 | } | ||
| 131 | } | ||
| 132 | |||
| 133 |
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15 | for (i = 0; i < FF_ARRAY_ELEMS(numlist); i++) { |
| 134 | 14 | int64_t a = numlist[i]; | |
| 135 | |||
| 136 |
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210 | for (j = 0; j < FF_ARRAY_ELEMS(numlist); j++) { |
| 137 | 196 | int64_t b = numlist[j]; | |
| 138 |
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196 | if (b<=0) |
| 139 | 70 | continue; | |
| 140 |
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1890 | for (k = 0; k < FF_ARRAY_ELEMS(numlist); k++) { |
| 141 | 1764 | int64_t c = numlist[k]; | |
| 142 | int64_t res; | ||
| 143 | AVInteger ai; | ||
| 144 | |||
| 145 |
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1764 | if (c<=0) |
| 146 | 1764 | continue; | |
| 147 | 1134 | res = av_rescale_rnd(a,b,c, AV_ROUND_ZERO); | |
| 148 | |||
| 149 | 1134 | ai = av_mul_i(av_int2i(a), av_int2i(b)); | |
| 150 | 1134 | ai = av_div_i(ai, av_int2i(c)); | |
| 151 | |||
| 152 |
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1134 | if (av_cmp_i(ai, av_int2i(INT64_MAX)) > 0 && res == INT64_MIN) |
| 153 | 75 | continue; | |
| 154 |
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1059 | if (av_cmp_i(ai, av_int2i(INT64_MIN)) < 0 && res == INT64_MIN) |
| 155 | 76 | continue; | |
| 156 |
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983 | if (av_cmp_i(ai, av_int2i(res)) == 0) |
| 157 | 957 | continue; | |
| 158 | |||
| 159 | // Special exception for INT64_MIN, remove this in case INT64_MIN is handled without off by 1 error | ||
| 160 |
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26 | if (av_cmp_i(ai, av_int2i(res-1)) == 0 && a == INT64_MIN) |
| 161 | 26 | continue; | |
| 162 | |||
| 163 | ✗ | av_log(NULL, AV_LOG_ERROR, "%"PRId64" * %"PRId64" / %"PRId64" = %"PRId64" or %"PRId64"\n", a,b,c, res, av_i2int(ai)); | |
| 164 | ✗ | ret = 1; | |
| 165 | } | ||
| 166 | } | ||
| 167 | } | ||
| 168 | |||
| 169 |
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11 | for (a.num = 1; a.num <= 10; a.num++) { |
| 170 |
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110 | for (a.den = 1; a.den <= 10; a.den++) { |
| 171 |
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100 | if (av_gcd(a.num, a.den) > 1) |
| 172 | 37 | continue; | |
| 173 |
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693 | for (b.num = 1; b.num <= 10; b.num++) { |
| 174 |
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6930 | for (b.den = 1; b.den <= 10; b.den++) { |
| 175 | int start; | ||
| 176 |
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6300 | if (av_gcd(b.num, b.den) > 1) |
| 177 | 2331 | continue; | |
| 178 |
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3969 | if (av_cmp_q(b, a) < 0) |
| 179 | 1953 | continue; | |
| 180 |
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22176 | for (start = 0; start < 10 ; start++) { |
| 181 | 20160 | int acc= start; | |
| 182 | int i; | ||
| 183 | |||
| 184 |
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2036160 | for (i = 0; i<100; i++) { |
| 185 | 2016000 | int exact = start + av_rescale_q(i+1, b, a); | |
| 186 | 2016000 | acc = av_add_stable(a, acc, b, 1); | |
| 187 |
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2016000 | if (FFABS(acc - exact) > 2) { |
| 188 | ✗ | av_log(NULL, AV_LOG_ERROR, "%d/%d %d/%d, %d %d\n", a.num, | |
| 189 | a.den, b.num, b.den, acc, exact); | ||
| 190 | ✗ | return 1; | |
| 191 | } | ||
| 192 | } | ||
| 193 | } | ||
| 194 | } | ||
| 195 | } | ||
| 196 | } | ||
| 197 | } | ||
| 198 | |||
| 199 |
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21 | for (int64_t den = 1; den <= INT_MAX; den *= 3) { |
| 200 | 20 | a.den = den; | |
| 201 |
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29560 | for (a.num = -1; a.num < (1<<27); a.num += 1 + a.num/100) { |
| 202 |
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29540 | if (check_q2intfloat(a)) |
| 203 | ✗ | return 1; | |
| 204 | } | ||
| 205 | } | ||
| 206 | |||
| 207 | static const AVRational q2intfloat_list[] = { | ||
| 208 | {INT_MIN, 1}, {1, INT_MIN}, {INT_MIN, INT_MIN}, {INT_MIN, -1}, {-1, INT_MIN}, | ||
| 209 | {INT_MAX, INT_MIN}, {INT_MIN, INT_MAX}, {-3, -7}, {3, -7}, | ||
| 210 | {1, 0}, {-1, 0}, {INT_MIN, 0}, {0, 0}, {0, 1}, {0, INT_MIN}, | ||
| 211 | }; | ||
| 212 | |||
| 213 |
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16 | for (i = 0; i < FF_ARRAY_ELEMS(q2intfloat_list); i++) |
| 214 | 15 | ret |= check_q2intfloat(q2intfloat_list[i]); | |
| 215 | |||
| 216 | 1 | return ret; | |
| 217 | } | ||
| 218 |