/* * 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); }