ffmpeg/libavutil/tests/mathematics.c
marcos ashton e18c8c533d tests/fate/libavutil: add FATE test for mathematics
Test the integer math utility functions: av_gcd, av_rescale,
av_rescale_rnd (all rounding modes including PASS_MINMAX),
av_rescale_q, av_compare_ts, av_compare_mod, av_rescale_delta,
and av_add_stable. Includes large-value tests that exercise the
128-bit multiply path in av_rescale_rnd.

av_bessel_i0 is not tested since it uses floating point math
that is not bitexact across platforms.

Coverage for libavutil/mathematics.c: 0.00% -> 82.03%

Remaining uncovered lines are av_bessel_i0 (float, 23 lines)
and one edge case fallback in av_rescale_delta.
2026-04-05 00:12:29 +00:00

175 lines
7.7 KiB
C

/*
* This file is part of FFmpeg.
*
* FFmpeg 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.
*
* FFmpeg 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 FFmpeg; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include <inttypes.h>
#include <stdint.h>
#include <stdio.h>
#include "libavutil/avutil.h"
#include "libavutil/macros.h"
#include "libavutil/mathematics.h"
#include "libavutil/rational.h"
int main(void)
{
int64_t last;
/* av_gcd */
printf("Testing av_gcd()\n");
static const struct { int64_t a, b, expected; } gcd_tests[] = {
{ 0, 0, 0 },
{ 1, 0, 1 },
{ 0, 1, 1 },
{ 6, 4, 2 },
{ 12, 8, 4 },
{ 17, 13, 1 },
{ 100, 75, 25 },
{ -6, 4, 2 },
{ 6, -4, 2 },
};
for (int i = 0; i < FF_ARRAY_ELEMS(gcd_tests); i++)
printf("gcd(%"PRId64", %"PRId64") = %"PRId64" %s\n",
gcd_tests[i].a, gcd_tests[i].b,
av_gcd(gcd_tests[i].a, gcd_tests[i].b),
av_gcd(gcd_tests[i].a, gcd_tests[i].b) == gcd_tests[i].expected ? "OK" : "FAIL");
/* av_rescale */
printf("\nTesting av_rescale()\n");
printf("rescale(6, 3, 2) = %"PRId64"\n", av_rescale(6, 3, 2));
printf("rescale(0, 3, 2) = %"PRId64"\n", av_rescale(0, 3, 2));
printf("rescale(1, 1, 1) = %"PRId64"\n", av_rescale(1, 1, 1));
printf("rescale(-6, 3, 2) = %"PRId64"\n", av_rescale(-6, 3, 2));
printf("rescale(90000, 1, 90000) = %"PRId64"\n", av_rescale(90000, 1, 90000));
/* av_rescale_rnd with different rounding modes */
printf("\nTesting av_rescale_rnd()\n");
static const struct {
int64_t a, b, c;
enum AVRounding rnd;
int64_t expected;
} rnd_tests[] = {
{ 7, 1, 2, AV_ROUND_ZERO, 3 },
{ 7, 1, 2, AV_ROUND_INF, 4 },
{ 7, 1, 2, AV_ROUND_DOWN, 3 },
{ 7, 1, 2, AV_ROUND_UP, 4 },
{ 7, 1, 2, AV_ROUND_NEAR_INF, 4 },
{ -7, 1, 2, AV_ROUND_ZERO, -3 },
{ -7, 1, 2, AV_ROUND_INF, -4 },
{ -7, 1, 2, AV_ROUND_DOWN, -4 },
{ -7, 1, 2, AV_ROUND_UP, -3 },
{ 6, 1, 2, AV_ROUND_NEAR_INF, 3 },
};
for (int i = 0; i < FF_ARRAY_ELEMS(rnd_tests); i++) {
int64_t r = av_rescale_rnd(rnd_tests[i].a, rnd_tests[i].b,
rnd_tests[i].c, rnd_tests[i].rnd);
printf("rescale_rnd(%"PRId64", %"PRId64", %"PRId64", %d) = %"PRId64" %s\n",
rnd_tests[i].a, rnd_tests[i].b, rnd_tests[i].c,
rnd_tests[i].rnd, r,
r == rnd_tests[i].expected ? "OK" : "FAIL");
}
/* AV_ROUND_PASS_MINMAX */
printf("\nTesting AV_ROUND_PASS_MINMAX\n");
printf("INT64_MIN passthrough: %s\n",
av_rescale_rnd(INT64_MIN, 1, 2,
AV_ROUND_UP | AV_ROUND_PASS_MINMAX) == INT64_MIN ? "OK" : "FAIL");
printf("INT64_MAX passthrough: %s\n",
av_rescale_rnd(INT64_MAX, 1, 2,
AV_ROUND_UP | AV_ROUND_PASS_MINMAX) == INT64_MAX ? "OK" : "FAIL");
printf("normal with PASS_MINMAX: %"PRId64"\n",
av_rescale_rnd(3, 1, 2, AV_ROUND_UP | AV_ROUND_PASS_MINMAX));
/* large value rescale (exercises 128-bit multiply path) */
printf("\nTesting large value rescale\n");
printf("rescale(INT64_MAX/2, 2, 1) = %"PRId64"\n",
av_rescale_rnd(INT64_MAX / 2, 2, 1, AV_ROUND_ZERO));
printf("rescale(1000000007, 1000000009, 1000000007) = %"PRId64"\n",
av_rescale(1000000007LL, 1000000009LL, 1000000007LL));
/* b and c both > INT_MAX triggers 128-bit multiply */
printf("rescale_rnd(10, INT_MAX+1, INT_MAX+1, ZERO) = %"PRId64"\n",
av_rescale_rnd(10, (int64_t)INT32_MAX + 1, (int64_t)INT32_MAX + 1, AV_ROUND_ZERO));
printf("rescale_rnd(7, 3000000000, 2000000000, NEAR_INF) = %"PRId64"\n",
av_rescale_rnd(7, 3000000000LL, 2000000000LL, AV_ROUND_NEAR_INF));
/* av_rescale_q */
printf("\nTesting av_rescale_q()\n");
printf("rescale_q(90000, 1/90000, 1/1000) = %"PRId64"\n",
av_rescale_q(90000, (AVRational){1, 90000}, (AVRational){1, 1000}));
printf("rescale_q(48000, 1/48000, 1/44100) = %"PRId64"\n",
av_rescale_q(48000, (AVRational){1, 48000}, (AVRational){1, 44100}));
/* av_compare_ts */
printf("\nTesting av_compare_ts()\n");
printf("compare(1, 1/1, 1, 1/1) = %d\n",
av_compare_ts(1, (AVRational){1, 1}, 1, (AVRational){1, 1}));
printf("compare(1, 1/1, 2, 1/1) = %d\n",
av_compare_ts(1, (AVRational){1, 1}, 2, (AVRational){1, 1}));
printf("compare(2, 1/1, 1, 1/1) = %d\n",
av_compare_ts(2, (AVRational){1, 1}, 1, (AVRational){1, 1}));
printf("compare(1, 1/1000, 1, 1/90000) = %d\n",
av_compare_ts(1, (AVRational){1, 1000}, 1, (AVRational){1, 90000}));
/* large values trigger rescale-based comparison path */
printf("compare(INT64_MAX/2, 1/1, INT64_MAX/3, 1/1) = %d\n",
av_compare_ts(INT64_MAX / 2, (AVRational){1, 1},
INT64_MAX / 3, (AVRational){1, 1}));
/* av_compare_mod */
printf("\nTesting av_compare_mod()\n");
printf("compare_mod(3, 1, 16) = %"PRId64"\n", av_compare_mod(3, 1, 16));
printf("compare_mod(1, 3, 16) = %"PRId64"\n", av_compare_mod(1, 3, 16));
printf("compare_mod(5, 5, 16) = %"PRId64"\n", av_compare_mod(5, 5, 16));
/* av_rescale_delta */
printf("\nTesting av_rescale_delta()\n");
last = AV_NOPTS_VALUE;
for (int i = 0; i < 4; i++)
printf("delta step %d: %"PRId64"\n", i,
av_rescale_delta((AVRational){1, 48000}, i * 1024,
(AVRational){1, 48000}, 1024,
&last, (AVRational){1, 44100}));
/* trigger clip-based path: use different in_tb and fs_tb */
last = AV_NOPTS_VALUE;
for (int i = 0; i < 4; i++)
printf("delta clip %d: %"PRId64"\n", i,
av_rescale_delta((AVRational){1, 44100}, i * 940,
(AVRational){1, 48000}, 1024,
&last, (AVRational){1, 90000}));
/* av_add_stable */
printf("\nTesting av_add_stable()\n");
printf("add_stable(0, 1/1, 1/1000, 500) = %"PRId64"\n",
av_add_stable((AVRational){1, 1}, 0, (AVRational){1, 1000}, 500));
printf("add_stable(1000, 1/90000, 1/48000, 1024) = %"PRId64"\n",
av_add_stable((AVRational){1, 90000}, 1000, (AVRational){1, 48000}, 1024));
/* non-exact division path (m >= d, general case) */
printf("add_stable(0, 1/48000, 1/90000, 90000) = %"PRId64"\n",
av_add_stable((AVRational){1, 48000}, 0, (AVRational){1, 90000}, 90000));
printf("add_stable(100, 1/1000, 1/90000, 3000) = %"PRId64"\n",
av_add_stable((AVRational){1, 1000}, 100, (AVRational){1, 90000}, 3000));
/* repeated addition: verify no rounding error accumulation */
{
int64_t ts = 0;
for (int i = 0; i < 10000; i++)
ts = av_add_stable((AVRational){1, 48000}, ts, (AVRational){1, 48000}, 1024);
printf("add_stable 10000x1024 at 1/48000: %"PRId64" (expected %"PRId64") %s\n",
ts, (int64_t)10000 * 1024,
ts == (int64_t)10000 * 1024 ? "OK" : "FAIL");
}
return 0;
}