tests: add matrix-test

Add a new directory tests/ for unit test applications. This directory
will be built only if --enable-tests is given to ./configure.

Add matrix-test application. It excercises especially the
weston_matrix_invert() and weston_matrix_inverse_transform() functions.
It has one test for correctness and precision, and other tests for
measuring the speed of various matrix operations.

For the record, the correctness test prints:

a random matrix:
   1.112418e-02   2.628150e+00   8.205844e+02  -1.147526e-04
   4.943677e-04  -1.117819e-04  -9.158849e-06   3.678122e-02
   7.915063e-03  -3.093254e-04  -4.376583e+02   3.424706e-02
  -2.504038e+02   2.481788e+03  -7.545445e+01   1.752909e-03

The matrix multiplied by its inverse, error:
   0.000000e+00  -0.000000e+00  -0.000000e+00  -0.000000e+00
   0.000000e+00   0.000000e+00   0.000000e+00   0.000000e+00
  -0.000000e+00  -0.000000e+00   0.000000e+00  -0.000000e+00
   0.000000e+00   0.000000e+00   0.000000e+00   0.000000e+00
max abs error: 0, original determinant 11595.2

Running a test loop for 10 seconds...
test fail, det: -0.00464805, error sup: inf
test fail, det: -0.0424053, error sup: 1.30787e-06
test fail, det: 5.15191, error sup: 1.15956e-06
tests: 6791767 ok, 1 not invertible but ok, 3 failed.
Total: 6791771 iterations.

These results are expected with the current precision thresholds in
src/matrix.c and tests/matrix-test.c. The random number generator is
seeded with a constant, so the random numbers should be the same on
every run. Machine speed and scheduling affect how many iterations are
run.

Signed-off-by: Pekka Paalanen <ppaalanen@gmail.com>
This commit is contained in:
Pekka Paalanen 2012-01-16 15:04:28 +02:00
parent 75b47ec45d
commit 4520d5cafb
6 changed files with 459 additions and 3 deletions

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@ -1 +1 @@
SUBDIRS = shared src clients data protocol
SUBDIRS = shared src clients data protocol tests

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@ -148,6 +148,9 @@ AC_ARG_ENABLE(tablet-shell, [ --enable-tablet-shell],,
AM_CONDITIONAL(ENABLE_TABLET_SHELL,
test x$enable_tablet_shell == xyes)
AC_ARG_ENABLE(tests, [ --enable-tests],,enable_tests=yes)
AM_CONDITIONAL(BUILD_TESTS, test x$enable_tests == xyes)
if test "x$GCC" = "xyes"; then
GCC_CFLAGS="-Wall -g -Wstrict-prototypes -Wmissing-prototypes -fvisibility=hidden"
fi
@ -160,7 +163,8 @@ AC_CONFIG_FILES([Makefile
src/Makefile
clients/Makefile
data/Makefile
protocol/Makefile])
protocol/Makefile
tests/Makefile])
AC_OUTPUT
if test "x$enable_setuid_install" == xyes; then

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@ -184,7 +184,7 @@ weston_matrix_inverse_transform(struct weston_inverse_matrix *inverse,
unsigned *p = inverse->p;
double *LU = inverse->LU;
double b[4];
unsigned k, j;
unsigned j;
/* Forward substitution, column version, solves L * b = P * v */
/* The diagonal of L is all ones, and not explicitly stored. */
@ -214,6 +214,7 @@ weston_matrix_inverse_transform(struct weston_inverse_matrix *inverse,
b[0] /= LU[0 + 0 * 4];
#else
for (j = 3; j > 0; --j) {
unsigned k;
b[j] /= LU[j + j * 4];
for (k = 0; k < j; ++k)
b[k] -= b[j] * LU[k + j * 4];

2
tests/.gitignore vendored Normal file
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@ -0,0 +1,2 @@
matrix-test

15
tests/Makefile.am Normal file
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@ -0,0 +1,15 @@
if BUILD_TESTS
noinst_PROGRAMS = matrix-test
endif
AM_CFLAGS = $(GCC_CFLAGS)
AM_CPPFLAGS = -I../src
matrix_test_SOURCES = \
matrix-test.c \
../src/matrix.c \
../src/matrix.h
matrix_test_LDADD = -lm -lrt

434
tests/matrix-test.c Normal file
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@ -0,0 +1,434 @@
/*
* Copyright © 2012 Collabora, Ltd.
*
* Permission to use, copy, modify, distribute, and sell this software and
* its documentation for any purpose is hereby granted without fee, provided
* that the above copyright notice appear in all copies and that both that
* copyright notice and this permission notice appear in supporting
* documentation, and that the name of the copyright holders not be used in
* advertising or publicity pertaining to distribution of the software
* without specific, written prior permission. The copyright holders make
* no representations about the suitability of this software for any
* purpose. It is provided "as is" without express or implied warranty.
*
* THE COPYRIGHT HOLDERS DISCLAIM ALL WARRANTIES WITH REGARD TO THIS
* SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
* FITNESS, IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
* SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER
* RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF
* CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
#include <stdio.h>
#include <stdlib.h>
#include <GLES2/gl2.h>
#include <math.h>
#include <unistd.h>
#include <signal.h>
#include <time.h>
#include "matrix.h"
static struct timespec begin_time;
static void
reset_timer(void)
{
clock_gettime(CLOCK_MONOTONIC, &begin_time);
}
static double
read_timer(void)
{
struct timespec t;
clock_gettime(CLOCK_MONOTONIC, &t);
return (double)(t.tv_sec - begin_time.tv_sec) +
1e-9 * (t.tv_nsec - begin_time.tv_nsec);
}
static double
det3x3(const GLfloat *c0, const GLfloat *c1, const GLfloat *c2)
{
return (double)
c0[0] * c1[1] * c2[2] +
c1[0] * c2[1] * c0[2] +
c2[0] * c0[1] * c1[2] -
c0[2] * c1[1] * c2[0] -
c1[2] * c2[1] * c0[0] -
c2[2] * c0[1] * c1[0];
}
static double
determinant(const struct weston_matrix *m)
{
double det = 0;
#if 1
/* develop on last row */
det -= m->d[3 + 0 * 4] * det3x3(&m->d[4], &m->d[8], &m->d[12]);
det += m->d[3 + 1 * 4] * det3x3(&m->d[0], &m->d[8], &m->d[12]);
det -= m->d[3 + 2 * 4] * det3x3(&m->d[0], &m->d[4], &m->d[12]);
det += m->d[3 + 3 * 4] * det3x3(&m->d[0], &m->d[4], &m->d[8]);
#else
/* develop on first row */
det += m->d[0 + 0 * 4] * det3x3(&m->d[5], &m->d[9], &m->d[13]);
det -= m->d[0 + 1 * 4] * det3x3(&m->d[1], &m->d[9], &m->d[13]);
det += m->d[0 + 2 * 4] * det3x3(&m->d[1], &m->d[5], &m->d[13]);
det -= m->d[0 + 3 * 4] * det3x3(&m->d[1], &m->d[5], &m->d[9]);
#endif
return det;
}
static void
print_permutation_matrix(const struct weston_inverse_matrix *m)
{
const unsigned *p = m->p;
const char *row[4] = {
"1 0 0 0\n",
"0 1 0 0\n",
"0 0 1 0\n",
"0 0 0 1\n"
};
printf(" P =\n%s%s%s%s", row[p[0]], row[p[1]], row[p[2]], row[p[3]]);
}
static void
print_LU_decomposition(const struct weston_inverse_matrix *m)
{
unsigned r, c;
printf(" L "
" U\n");
for (r = 0; r < 4; ++r) {
double v;
for (c = 0; c < 4; ++c) {
if (c < r)
v = m->LU[r + c * 4];
else if (c == r)
v = 1.0;
else
v = 0.0;
printf(" %12.6f", v);
}
printf(" | ");
for (c = 0; c < 4; ++c) {
if (c >= r)
v = m->LU[r + c * 4];
else
v = 0.0;
printf(" %12.6f", v);
}
printf("\n");
}
}
static void
print_inverse_data_matrix(const struct weston_inverse_matrix *m)
{
unsigned r, c;
for (r = 0; r < 4; ++r) {
for (c = 0; c < 4; ++c)
printf(" %12.6f", m->LU[r + c * 4]);
printf("\n");
}
printf("permutation: ");
for (r = 0; r < 4; ++r)
printf(" %u", m->p[r]);
printf("\n");
}
static void
print_matrix(const struct weston_matrix *m)
{
unsigned r, c;
for (r = 0; r < 4; ++r) {
for (c = 0; c < 4; ++c)
printf(" %14.6e", m->d[r + c * 4]);
printf("\n");
}
}
static double
frand(void)
{
double r = random();
return r / (double)(RAND_MAX / 2) - 1.0f;
}
static void
randomize_matrix(struct weston_matrix *m)
{
unsigned i;
for (i = 0; i < 16; ++i)
#if 1
m->d[i] = frand() * exp(10.0 * frand());
#else
m->d[i] = frand();
#endif
}
static void
invert_matrix(struct weston_matrix *m)
{
struct weston_inverse_matrix q;
unsigned i;
if (weston_matrix_invert(&q, m) != 0) {
m->d[0] = NAN;
return;
}
for (i = 0; i < 4; ++i)
weston_matrix_inverse_transform(&q,
(struct weston_vector *)&m->d[i * 4]);
}
/* Take a matrix, compute inverse, multiply together
* and subtract the identity matrix to get the error matrix.
* Return the largest absolute value from the error matrix.
*/
static double
test_inverse(struct weston_matrix *m)
{
unsigned i;
struct weston_inverse_matrix q;
double errsup = 0.0;
if (weston_matrix_invert(&q, m) != 0)
return INFINITY;
for (i = 0; i < 4; ++i)
weston_matrix_inverse_transform(&q,
(struct weston_vector *)&m->d[i * 4]);
m->d[0] -= 1.0f;
m->d[5] -= 1.0f;
m->d[10] -= 1.0f;
m->d[15] -= 1.0f;
for (i = 0; i < 16; ++i) {
double err = fabs(m->d[i]);
if (err > errsup)
errsup = err;
}
return errsup;
}
enum {
TEST_OK,
TEST_NOT_INVERTIBLE_OK,
TEST_FAIL,
TEST_COUNT
};
static int
test(void)
{
struct weston_matrix m;
struct weston_matrix n;
double det, errsup;
randomize_matrix(&m);
n = m;
det = determinant(&m);
errsup = test_inverse(&m);
if (errsup < 1e-6)
return TEST_OK;
if (fabs(det) < 1e-5 && isinf(errsup))
return TEST_NOT_INVERTIBLE_OK;
printf("test fail, det: %g, error sup: %g\n", det, errsup);
/* print_matrix(&n);*/
return TEST_FAIL;
}
static int running;
static void
stopme(int n)
{
running = 0;
}
static void
test_loop_precision(void)
{
int counts[TEST_COUNT] = { 0 };
printf("\nRunning a test loop for 10 seconds...\n");
running = 1;
alarm(10);
while (running) {
counts[test()]++;
}
printf("tests: %d ok, %d not invertible but ok, %d failed.\n"
"Total: %d iterations.\n",
counts[TEST_OK], counts[TEST_NOT_INVERTIBLE_OK],
counts[TEST_FAIL],
counts[TEST_OK] + counts[TEST_NOT_INVERTIBLE_OK] +
counts[TEST_FAIL]);
}
static void __attribute__((noinline))
test_loop_speed_matrixvector(void)
{
struct weston_matrix m;
struct weston_vector v = { { 0.5, 0.5, 0.5, 1.0 } };
unsigned long count = 0;
double t;
printf("\nRunning 3 s test on weston_matrix_transform()...\n");
weston_matrix_init(&m);
running = 1;
alarm(3);
reset_timer();
while (running) {
weston_matrix_transform(&m, &v);
count++;
}
t = read_timer();
printf("%lu iterations in %f seconds, avg. %.1f us/iter.\n",
count, t, 1e9 * t / count);
}
static void __attribute__((noinline))
test_loop_speed_inversetransform(void)
{
struct weston_matrix m;
struct weston_inverse_matrix inv;
struct weston_vector v = { { 0.5, 0.5, 0.5, 1.0 } };
unsigned long count = 0;
double t;
printf("\nRunning 3 s test on weston_matrix_inverse_transform()...\n");
weston_matrix_init(&m);
weston_matrix_invert(&inv, &m);
running = 1;
alarm(3);
reset_timer();
while (running) {
weston_matrix_inverse_transform(&inv, &v);
count++;
}
t = read_timer();
printf("%lu iterations in %f seconds, avg. %.1f us/iter.\n",
count, t, 1e9 * t / count);
}
static void __attribute__((noinline))
test_loop_speed_invert(void)
{
struct weston_matrix m;
struct weston_inverse_matrix inv;
unsigned long count = 0;
double t;
printf("\nRunning 3 s test on weston_matrix_invert()...\n");
weston_matrix_init(&m);
running = 1;
alarm(3);
reset_timer();
while (running) {
weston_matrix_invert(&inv, &m);
count++;
}
t = read_timer();
printf("%lu iterations in %f seconds, avg. %.1f ns/iter.\n",
count, t, 1e9 * t / count);
}
static void __attribute__((noinline))
test_loop_speed_invert_explicit(void)
{
struct weston_matrix m;
unsigned long count = 0;
double t;
printf("\nRunning 3 s test on computing the explicit inverse matrix...\n");
weston_matrix_init(&m);
running = 1;
alarm(3);
reset_timer();
while (running) {
invert_matrix(&m);
count++;
}
t = read_timer();
printf("%lu iterations in %f seconds, avg. %.1f ns/iter.\n",
count, t, 1e9 * t / count);
}
int main(void)
{
struct sigaction ding;
struct weston_matrix M;
struct weston_inverse_matrix Q;
int ret;
double errsup;
double det;
ding.sa_handler = stopme;
sigemptyset(&ding.sa_mask);
ding.sa_flags = 0;
sigaction(SIGALRM, &ding, NULL);
srandom(13);
M.d[0] = 3.0; M.d[4] = 17.0; M.d[8] = 10.0; M.d[12] = 0.0;
M.d[1] = 2.0; M.d[5] = 4.0; M.d[9] = -2.0; M.d[13] = 0.0;
M.d[2] = 6.0; M.d[6] = 18.0; M.d[10] = -12; M.d[14] = 0.0;
M.d[3] = 0.0; M.d[7] = 0.0; M.d[11] = 0.0; M.d[15] = 1.0;
ret = weston_matrix_invert(&Q, &M);
printf("ret = %d\n", ret);
printf("det = %g\n\n", determinant(&M));
if (ret != 0)
return 1;
print_inverse_data_matrix(&Q);
printf("P * A = L * U\n");
print_permutation_matrix(&Q);
print_LU_decomposition(&Q);
printf("a random matrix:\n");
randomize_matrix(&M);
det = determinant(&M);
print_matrix(&M);
errsup = test_inverse(&M);
printf("\nThe matrix multiplied by its inverse, error:\n");
print_matrix(&M);
printf("max abs error: %g, original determinant %g\n", errsup, det);
test_loop_precision();
test_loop_speed_matrixvector();
test_loop_speed_inversetransform();
test_loop_speed_invert();
test_loop_speed_invert_explicit();
return 0;
}