cloud-sat/m4ri-20140914/testsuite/test_multiplication.c

332 lines
8.9 KiB
C

#include <m4ri/config.h>
#include <stdlib.h>
#include <m4ri/m4ri.h>
/**
* Check that the results of all implemented multiplication algorithms
* match up.
*
* \param m Number of rows of A
* \param l Number of columns of A/number of rows of B
* \param n Number of columns of B
* \param k Parameter k of M4RM algorithm, may be 0 for automatic choice.
* \param cutoff Cut off parameter at which dimension to switch from
* Strassen to M4RM
*/
int mul_test_equality(rci_t m, rci_t l, rci_t n, int k, int cutoff) {
int ret = 0;
printf(" mul: m: %4d, l: %4d, n: %4d, k: %2d, cutoff: %4d", m, l, n, k, cutoff);
/* we create two random matrices */
mzd_t *A = mzd_init(m, l);
mzd_t *B = mzd_init(l, n);
mzd_randomize(A);
mzd_randomize(B);
/* C = A*B via Strassen */
mzd_t *C = mzd_mul(NULL, A, B, cutoff);
/* D = A*B via M4RM, temporary buffers are managed internally */
mzd_t *D = mzd_mul_m4rm( NULL, A, B, k);
if (mzd_equal(C, D) != TRUE) {
printf(" Strassen != M4RM");
ret -=1;
}
/* E = A*B via naive cubic multiplication */
mzd_t *E = mzd_mul_naive( NULL, A, B);
if (mzd_equal(D, E) != TRUE) {
printf(" M4RM != Naiv");
ret -= 1;
}
if (mzd_equal(C, E) != TRUE) {
printf(" Strassen != Naiv");
ret -= 1;
}
#if __M4RI_HAVE_OPENMP
mzd_t *F = mzd_mul_mp(NULL, A, B, cutoff);
if (mzd_equal(C, F) != TRUE) {
printf(" MP != Naiv");
ret -= 1;
}
mzd_free(F);
#endif
mzd_free(A);
mzd_free(B);
mzd_free(C);
mzd_free(D);
mzd_free(E);
if(ret==0) {
printf(" ... passed\n");
} else {
printf(" ... FAILED\n");
}
return ret;
}
/**
* Check that the results of all implemented squaring algorithms match
* up.
*
* \param m Number of rows and columns of A
* \param k Parameter k of M4RM algorithm, may be 0 for automatic choice.
* \param cutoff Cut off parameter at which dimension to switch from
* Strassen to M4RM
*/
int sqr_test_equality(rci_t m, int k, int cutoff) {
int ret = 0;
mzd_t *A, *C, *D, *E;
printf(" sqr: m: %4d, k: %2d, cutoff: %4d", m, k, cutoff);
/* we create one random matrix */
A = mzd_init(m, m);
mzd_randomize(A);
/* C = A*A via Strassen */
C = mzd_mul(NULL, A, A, cutoff);
/* D = A*A via M4RM, temporary buffers are managed internally */
D = mzd_mul_m4rm( NULL, A, A, k);
/* E = A*A via naive cubic multiplication */
E = mzd_mul_naive( NULL, A, A);
mzd_free(A);
if (mzd_equal(C, D) != TRUE) {
printf(" Strassen != M4RM");
ret -=1;
}
if (mzd_equal(D, E) != TRUE) {
printf(" M4RM != Naiv");
ret -= 1;
}
if (mzd_equal(C, E) != TRUE) {
printf(" Strassen != Naiv");
ret -= 1;
}
mzd_free(C);
mzd_free(D);
mzd_free(E);
if(ret==0) {
printf(" ... passed\n");
} else {
printf(" ... FAILED\n");
}
return ret;
}
int addmul_test_equality(rci_t m, rci_t l, rci_t n, int k, int cutoff) {
int ret = 0;
printf("addmul: m: %4d, l: %4d, n: %4d, k: %2d, cutoff: %4d", m, l, n, k, cutoff);
/* we create two random matrices */
mzd_t *A = mzd_init(m, l);
mzd_t *B = mzd_init(l, n);
mzd_t *C = mzd_init(m, n);
mzd_randomize(A);
mzd_randomize(B);
mzd_randomize(C);
/* D = C + A*B via M4RM, temporary buffers are managed internally */
mzd_t *D = mzd_copy(NULL, C);
D = mzd_addmul_m4rm(D, A, B, k);
/* E = C + A*B via naiv cubic multiplication */
mzd_t *E = mzd_mul_m4rm(NULL, A, B, k);
mzd_add(E, E, C);
if (mzd_equal(D, E) != TRUE) {
printf(" M4RM != add,mul");
ret -=1;
}
/* F = C + A*B via naiv cubic multiplication */
mzd_t *F = mzd_copy(NULL, C);
F = mzd_addmul(F, A, B, cutoff);
if (mzd_equal(E, F) != TRUE) {
printf(" add,mul = addmul");
ret -=1;
}
if (mzd_equal(F, D) != TRUE) {
printf(" M4RM != addmul");
ret -=1;
}
#if __M4RI_HAVE_OPENMP
mzd_t *G = mzd_copy(NULL, C);
G = mzd_addmul_mp(G, A, B, cutoff);
if (mzd_equal(D, G) != TRUE) {
printf(" MP != Naiv");
ret -= 1;
}
mzd_free(G);
#endif
if (ret==0)
printf(" ... passed\n");
else
printf(" ... FAILED\n");
mzd_free(A);
mzd_free(B);
mzd_free(C);
mzd_free(D);
mzd_free(E);
mzd_free(F);
return ret;
}
int addsqr_test_equality(rci_t m, int k, int cutoff) {
int ret = 0;
mzd_t *A, *C, *D, *E, *F;
printf("addsqr: m: %4d, k: %2d, cutoff: %4d", m, k, cutoff);
/* we create two random matrices */
A = mzd_init(m, m);
C = mzd_init(m, m);
mzd_randomize(A);
mzd_randomize(C);
/* D = C + A*B via M4RM, temporary buffers are managed internally */
D = mzd_copy(NULL, C);
D = mzd_addmul_m4rm(D, A, A, k);
/* E = C + A*B via naive cubic multiplication */
E = mzd_mul_m4rm(NULL, A, A, k);
mzd_add(E, E, C);
/* F = C + A*B via naive cubic multiplication */
F = mzd_copy(NULL, C);
F = mzd_addmul(F, A, A, cutoff);
mzd_free(A);
mzd_free(C);
if (mzd_equal(D, E) != TRUE) {
printf(" M4RM != add,mul");
ret -=1;
}
if (mzd_equal(E, F) != TRUE) {
printf(" add,mul = addmul");
ret -=1;
}
if (mzd_equal(F, D) != TRUE) {
printf(" M4RM != addmul");
ret -=1;
}
if (ret==0)
printf(" ... passed\n");
else
printf(" ... FAILED\n");
mzd_free(D);
mzd_free(E);
mzd_free(F);
return ret;
}
int main() {
int status = 0;
srandom(17);
status += mul_test_equality( 1, 1, 1, 0, 1024);
status += mul_test_equality( 1, 128, 128, 0, 0);
status += mul_test_equality( 3, 131, 257, 0, 0);
status += mul_test_equality( 64, 64, 64, 0, 64);
status += mul_test_equality( 128, 128, 128, 0, 64);
status += mul_test_equality( 21, 171, 31, 0, 63);
status += mul_test_equality( 21, 171, 31, 0, 131);
status += mul_test_equality( 193, 65, 65, 8, 64);
status += mul_test_equality(1025, 1025, 1025, 3, 256);
status += mul_test_equality(2048, 2048, 4096, 0, 1024);
status += mul_test_equality(4096, 3528, 4096, 0, 1024);
status += mul_test_equality(1024, 1025, 1, 0, 1024);
status += mul_test_equality(1000, 1000, 1000, 0, 256);
status += mul_test_equality(1000, 10, 20, 0, 64);
status += mul_test_equality(1710, 1290, 1000, 0, 256);
status += mul_test_equality(1290, 1710, 200, 0, 64);
status += mul_test_equality(1290, 1710, 2000, 0, 256);
status += mul_test_equality(1290, 1290, 2000, 0, 64);
status += mul_test_equality(1000, 210, 200, 0, 64);
status += addmul_test_equality( 1, 128, 128, 0, 0);
status += addmul_test_equality( 3, 131, 257, 0, 0);
status += addmul_test_equality( 64, 64, 64, 0, 64);
status += addmul_test_equality( 128, 128, 128, 0, 64);
status += addmul_test_equality( 21, 171, 31, 0, 63);
status += addmul_test_equality( 21, 171, 31, 0, 131);
status += addmul_test_equality( 193, 65, 65, 8, 64);
status += addmul_test_equality(1025, 1025, 1025, 3, 256);
status += addmul_test_equality(4096, 4096, 4096, 0, 2048);
status += addmul_test_equality(1000, 1000, 1000, 0, 256);
status += addmul_test_equality(1000, 10, 20, 0, 64);
status += addmul_test_equality(1710, 1290, 1000, 0, 256);
status += addmul_test_equality(1290, 1710, 200, 0, 64);
status += addmul_test_equality(1290, 1710, 2000, 0, 256);
status += addmul_test_equality(1290, 1290, 2000, 0, 64);
status += addmul_test_equality(1000, 210, 200, 0, 64);
status += sqr_test_equality( 1, 0, 1024);
status += sqr_test_equality( 128, 0, 0);
status += sqr_test_equality( 131, 0, 0);
status += sqr_test_equality( 64, 0, 64);
status += sqr_test_equality( 128, 0, 64);
status += sqr_test_equality( 171, 0, 63);
status += sqr_test_equality( 171, 0, 131);
status += sqr_test_equality( 193, 8, 64);
status += sqr_test_equality(1025, 3, 256);
status += sqr_test_equality(2048, 0, 1024);
status += sqr_test_equality(3528, 0, 1024);
status += sqr_test_equality(1000, 0, 256);
status += sqr_test_equality(1000, 0, 64);
status += sqr_test_equality(1710, 0, 256);
status += sqr_test_equality(1290, 0, 64);
status += sqr_test_equality(2000, 0, 256);
status += sqr_test_equality(2000, 0, 64);
status += sqr_test_equality( 210, 0, 64);
status += addsqr_test_equality( 1, 0, 0);
status += addsqr_test_equality( 131, 0, 0);
status += addsqr_test_equality( 64, 0, 64);
status += addsqr_test_equality( 128, 0, 64);
status += addsqr_test_equality( 171, 0, 63);
status += addsqr_test_equality( 171, 0, 131);
status += addsqr_test_equality( 193, 8, 64);
status += addsqr_test_equality(1025, 3, 256);
status += addsqr_test_equality(4096, 0, 2048);
status += addsqr_test_equality(1000, 0, 256);
status += addsqr_test_equality(1000, 0, 64);
status += addsqr_test_equality(1710, 0, 256);
status += addsqr_test_equality(1290, 0, 64);
status += addsqr_test_equality(2000, 0, 256);
status += addsqr_test_equality(2000, 0, 64);
status += addsqr_test_equality( 210, 0, 64);
if (status == 0) {
printf("All tests passed.\n");
return 0;
} else {
return -1;
}
}