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/*
* 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
static inline uint32_t
byteswap32 (uint32_t x)
{
return ((x & ((uint32_t)0xFF << 24)) >> 24) |
((x & ((uint32_t)0xFF << 16)) >> 8) |
((x & ((uint32_t)0xFF << 8)) << 8) |
((x & ((uint32_t)0xFF << 0)) << 24);
}
static inline uint64_t
byteswap64 (uint64_t x)
{
return ((x & ((uint64_t)0xFF << 56)) >> 56) |
((x & ((uint64_t)0xFF << 48)) >> 40) |
((x & ((uint64_t)0xFF << 40)) >> 24) |
((x & ((uint64_t)0xFF << 32)) >> 8) |
((x & ((uint64_t)0xFF << 24)) << 8) |
((x & ((uint64_t)0xFF << 16)) << 24) |
((x & ((uint64_t)0xFF << 8)) << 40) |
((x & ((uint64_t)0xFF << 0)) << 56);
}
static void
byteswap_transform (pixman_transform_t *t)
{
int i, j;
if (is_little_endian ())
return;
for (i = 0; i < 3; i++)
for (j = 0; j < 3; j++)
t->matrix[i][j] = byteswap32 (t->matrix[i][j]);
}
static void
byteswap_vector_48_16 (pixman_vector_48_16_t *v)
{
int i;
if (is_little_endian ())
return;
for (i = 0; i < 3; i++)
v->v[i] = byteswap64 (v->v[i]);
}
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);
byteswap_transform (&ti);
byteswap_vector_48_16 (&vi);
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);
#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
byteswap_vector_48_16 (&result_i);
crc32 = compute_crc32 (crc32, &result_i, sizeof (result_i));
}
return crc32;
}
int
main (int argc, const char *argv[])
{
return fuzzer_test_main ("matrix", 20000,
0xBEBF98C3,
test_matrix, argc, argv);
}
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