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Diffstat (limited to 'test/matrix-test.c')
-rw-r--r-- | test/matrix-test.c | 186 |
1 files changed, 186 insertions, 0 deletions
diff --git a/test/matrix-test.c b/test/matrix-test.c new file mode 100644 index 0000000..8437dd2 --- /dev/null +++ b/test/matrix-test.c @@ -0,0 +1,186 @@ +/* + * Copyright © 2012 Siarhei Siamashka <siarhei.siamashka@gmail.com> + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice (including the next + * paragraph) shall be included in all copies or substantial portions of the + * Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. + */ + +#include "utils.h" +#include <assert.h> +#include <stdlib.h> +#include <stdio.h> +#include <math.h> + +#ifdef HAVE_FLOAT128 + +#define pixman_fixed_to_float128(x) (((__float128)(x)) / 65536.0Q) + +typedef struct { __float128 v[3]; } pixman_vector_f128_t; +typedef struct { __float128 m[3][3]; } pixman_transform_f128_t; + +pixman_bool_t +pixman_transform_point_f128 (const pixman_transform_f128_t *t, + const pixman_vector_f128_t *v, + pixman_vector_f128_t *result) +{ + int i; + for (i = 0; i < 3; i++) + { + result->v[i] = t->m[i][0] * v->v[0] + + t->m[i][1] * v->v[1] + + t->m[i][2] * v->v[2]; + } + if (result->v[2] != 0) + { + result->v[0] /= result->v[2]; + result->v[1] /= result->v[2]; + result->v[2] = 1; + return TRUE; + } + else + { + return FALSE; + } +} + +pixman_bool_t does_it_fit_fixed_48_16 (__float128 x) +{ + if (x >= 65536.0Q * 65536.0Q * 32768.0Q) + return FALSE; + if (x <= -65536.0Q * 65536.0Q * 32768.0Q) + return FALSE; + return TRUE; +} + +#endif + +uint32_t +test_matrix (int testnum, int verbose) +{ + uint32_t crc32 = 0; + int i, j, k; + pixman_bool_t is_affine; + + prng_srand (testnum); + + for (i = 0; i < 100; i++) + { + pixman_bool_t transform_ok; + pixman_transform_t ti; + pixman_vector_48_16_t vi, result_i; +#ifdef HAVE_FLOAT128 + pixman_transform_f128_t tf; + pixman_vector_f128_t vf, result_f; +#endif + prng_randmemset (&ti, sizeof(ti), 0); + prng_randmemset (&vi, sizeof(vi), 0); + + for (j = 0; j < 3; j++) + { + /* make sure that "vi" contains 31.16 fixed point data */ + vi.v[j] >>= 17; + /* and apply random shift */ + if (prng_rand_n (3) == 0) + vi.v[j] >>= prng_rand_n (46); + } + + if (prng_rand_n (2)) + { + /* random shift for the matrix */ + for (j = 0; j < 3; j++) + for (k = 0; k < 3; k++) + ti.matrix[j][k] >>= prng_rand_n (30); + } + + if (prng_rand_n (2)) + { + /* affine matrix */ + ti.matrix[2][0] = 0; + ti.matrix[2][1] = 0; + ti.matrix[2][2] = pixman_fixed_1; + } + + if (prng_rand_n (2)) + { + /* cartesian coordinates */ + vi.v[2] = pixman_fixed_1; + } + + is_affine = (ti.matrix[2][0] == 0 && ti.matrix[2][1] == 0 && + ti.matrix[2][2] == pixman_fixed_1 && + vi.v[2] == pixman_fixed_1); + + transform_ok = TRUE; + if (is_affine && prng_rand_n (2)) + pixman_transform_point_31_16_affine (&ti, &vi, &result_i); + else + transform_ok = pixman_transform_point_31_16 (&ti, &vi, &result_i); + + crc32 = compute_crc32 (crc32, &result_i, sizeof(result_i)); + +#ifdef HAVE_FLOAT128 + /* compare with a reference 128-bit floating point implementation */ + for (j = 0; j < 3; j++) + { + vf.v[j] = pixman_fixed_to_float128 (vi.v[j]); + for (k = 0; k < 3; k++) + { + tf.m[j][k] = pixman_fixed_to_float128 (ti.matrix[j][k]); + } + } + + if (pixman_transform_point_f128 (&tf, &vf, &result_f)) + { + if (transform_ok || + (does_it_fit_fixed_48_16 (result_f.v[0]) && + does_it_fit_fixed_48_16 (result_f.v[1]) && + does_it_fit_fixed_48_16 (result_f.v[2]))) + { + for (j = 0; j < 3; j++) + { + double diff = fabs (result_f.v[j] - + pixman_fixed_to_float128 (result_i.v[j])); + + if (is_affine && diff > (0.51 / 65536.0)) + { + printf ("%d:%d: bad precision for affine (%.12f)\n", + testnum, i, diff); + abort (); + } + else if (diff > (0.71 / 65536.0)) + { + printf ("%d:%d: bad precision for projective (%.12f)\n", + testnum, i, diff); + abort (); + } + } + } + } +#endif + } + return crc32; +} + +int +main (int argc, const char *argv[]) +{ + return fuzzer_test_main ("matrix", 20000, + 0xBEBF98C3, + test_matrix, argc, argv); +} |