int test_pluq_solve_left(rci_t m, rci_t n, int offsetA, int offsetB) {
mzd_t* Abase = mzd_init(2048, 2048);
mzd_t* Bbase = mzd_init(2048, 2048);
mzd_randomize(Abase);
mzd_randomize(Bbase);
mzd_t* A = mzd_init_window(Abase, 0, offsetA, m, m + offsetA);
mzd_t* B = mzd_init_window(Bbase, 0, offsetB, m, n + offsetB);
// copy B
mzd_t* Bcopy = mzd_init(B->nrows, B->ncols);
for (rci_t i = 0; i < B->nrows; ++i)
for (rci_t j = 0; j < B->ncols; ++j)
mzd_write_bit(Bcopy,i,j, mzd_read_bit (B,i,j));
for (rci_t i = 0; i < m; ++i) {
mzd_write_bit(A,i,i, 1);
}
mzd_t *Acopy = mzd_copy(NULL, A);
rci_t r = mzd_echelonize(Acopy,1);
printf("solve_left m: %4d, n: %4d, r: %4d da: %4d db: %4d ", m, n, r, offsetA, offsetB);
mzd_free(Acopy);
Acopy = mzd_copy(NULL, A);
int consistency = mzd_solve_left(A, B, 0, 1);
//copy B
mzd_t *X = mzd_init(B->nrows,B->ncols);
for (rci_t i = 0; i < B->nrows; ++i)
for (rci_t j = 0; j < B->ncols; ++j)
mzd_write_bit(X,i,j, mzd_read_bit (B,i,j));
mzd_t *B1 = mzd_mul(NULL, Acopy, X, 0);
mzd_t *Z = mzd_add(NULL, Bcopy, B1);
int status = 0;
if(consistency == 0) {
status = 1 - mzd_is_zero(Z);
if (status == 0) {
printf("passed\n");
} else {
printf("FAILED\n");
}
} else {
printf("skipped (no solution)\n");
}
mzd_free(Bcopy);
mzd_free(B1);
mzd_free(Z);
mzd_free_window(A);
mzd_free_window(B);
mzd_free(Acopy);
mzd_free(Abase);
mzd_free(Bbase);
mzd_free(X);
return status;
}
int test_kernel_left_pluq(size_t m, size_t n) {
mzd_t* A = mzd_init(m, n);
mzd_randomize(A);
mzd_t *Acopy = mzd_copy(NULL, A);
size_t r = mzd_echelonize_m4ri(A, 0, 0);
printf("kernel_left m: %4zu, n: %4zu, r: %4zu ",m, n, r);
mzd_free(Acopy);
Acopy = mzd_copy(NULL, A);
mzd_t *X = mzd_kernel_left_pluq(A, 0);
if (X == NULL) {
printf("passed\n");
mzd_free(A);
mzd_free(Acopy);
return 0;
}
mzd_t *Z = mzd_mul(NULL, Acopy, X, 0);
int status = 1 - mzd_is_zero(Z);
if (!status)
printf("passed\n");
else
printf("FAILED\n");
mzd_free(A);
mzd_free(Acopy);
mzd_free(X);
mzd_free(Z);
return status;
}
int _mzd_pluq_solve_left(mzd_t const *A, rci_t rank,
mzp_t const *P, mzp_t const *Q,
mzd_t *B, int const cutoff, int const inconsistency_check) {
/** A is supposed to store L lower triangular and U upper triangular
* B is modified in place
* (Bi's in the comments are just modified versions of B)
* PLUQ = A
* 1) P B2 = B1
* 2) L B3 = B2
* 3) U B4 = B3
* 4) Q B5 = B4
*/
int retval = 0;
/* P B2 = B1 or B2 = P^T B1 */
mzd_apply_p_left(B, P);
/* L B3 = B2 */
/* view on the upper part of L */
mzd_t const *LU = mzd_init_window_const(A, 0, 0, rank, rank);
mzd_t *Y1 = mzd_init_window(B, 0, 0, rank, B->ncols);
mzd_trsm_lower_left(LU, Y1, cutoff);
if (inconsistency_check) { /* Check for inconsistency */
/** FASTER without this check; update with the lower part of L
*/
mzd_t const *H = mzd_init_window_const(A, rank, 0, A->nrows, rank);
mzd_t *Y2 = mzd_init_window(B, rank, 0, A->nrows, B->ncols);
if(A->nrows < B->nrows) {
mzd_t *Y3 = mzd_init_window(B, A->nrows, 0, B->nrows, B->ncols);
mzd_set_ui(Y3, 0);
mzd_free_window(Y3);
}
mzd_addmul(Y2, H, Y1, cutoff);
/*
* test whether Y2 is the zero matrix
*/
if(!mzd_is_zero(Y2)) {
retval = -1;
}
mzd_free_window((mzd_t*)H);
mzd_free_window(Y2);
}
/* U B4 = B3 */
mzd_trsm_upper_left(LU, Y1, cutoff);
mzd_free_window((mzd_t*)LU);
mzd_free_window(Y1);
if (!inconsistency_check) {
/** Default is to set the undefined bits to zero if inconsistency
* has been checked then Y2 bits are already all zeroes thus this
* clearing is not needed
*/
for(rci_t i = rank; i < B->nrows; ++i) {
for(rci_t j = 0; j < B->ncols; j += m4ri_radix) {
mzd_clear_bits(B, i, j, MIN(m4ri_radix, B->ncols - j));
}
}
}
/* Q B5 = B4 or B5 = Q^T B4 */
mzd_apply_p_left_trans(B, Q);
/* P L U Q B5 = B1 */
__M4RI_DD_MZD(B);
__M4RI_DD_INT(retval);
return retval;
}
/*
* Class: m4rjni_Mzd
* Method: mzd_is_zero
* Signature: (J)I
*/
JNIEXPORT jint JNICALL Java_m4rjni_Mzd_mzd_1is_1zero(JNIEnv *env, jobject obj, jlong ptr) {
mzd_t *M = (mzd_t*)ptr;
if (M==NULL) return -1;
return mzd_is_zero(M);
}
int smallops_test_add(rci_t M, rci_t N, rci_t m, rci_t n, rci_t offset, word pattern) {
int ret = 0;
printf(" mzd_add: M: %4d, N: %4d, m: %4d, n: %4d, offset: %4d, pattern: 0x%" PRIx64 " ", M, N, m, n, offset, pattern);
mzd_t *AA;
mzd_t *A = mzd_init_test_matrix_random(M, N, m, n, offset, pattern, &AA);
mzd_t *BB;
mzd_t *B = mzd_init_test_matrix_random(M, N, m, n, offset, pattern, &BB);
mzd_t *CC;
mzd_t *C = mzd_init_test_matrix_random(M, N, m, n, offset, pattern, &CC);
mzd_t *DD;
mzd_t *D = mzd_init_test_matrix_random(M, N, m, n, offset, pattern, &DD);
/* Creation went okay? */
ret += mzd_check_pattern(AA, m, n, offset, pattern);
ret += mzd_check_pattern(BB, m, n, offset, pattern);
ret += mzd_check_pattern(CC, m, n, offset, pattern);
ret += mzd_check_pattern(DD, m, n, offset, pattern);
/* Testing equality A+A == 0 */
mzd_add(C, A, A);
if(!mzd_is_zero(C)) {
ret +=1;
}
ret += mzd_check_pattern(AA, m, n, offset, pattern);
ret += mzd_check_pattern(BB, m, n, offset, pattern);
ret += mzd_check_pattern(CC, m, n, offset, pattern);
/* Testing equality A+A == 0 but this time C is already zero */
mzd_add(C, B, B);
if(!mzd_is_zero(C)) {
ret +=1;
}
ret += mzd_check_pattern(AA, m, n, offset, pattern);
ret += mzd_check_pattern(BB, m, n, offset, pattern);
ret += mzd_check_pattern(CC, m, n, offset, pattern);
/* Testing in place add. C is zero, so afterwards C == A */
mzd_add(C, C, A);
if(!mzd_equal(C,A)) {
ret +=1;
}
ret += mzd_check_pattern(AA, m, n, offset, pattern);
ret += mzd_check_pattern(BB, m, n, offset, pattern);
ret += mzd_check_pattern(CC, m, n, offset, pattern);
/* Testing equality C (== A) + A == 0 */
mzd_add(B, C, A);
if(!mzd_is_zero(B)) {
ret +=1;
}
if(m == n) {
/* Testing equality (A + B)^2 == A^2 + BA + AB + B^2 */
mzd_randomize(A);
mzd_randomize(B);
mzd_add(C,A,B);
mzd_mul(D,C,C, 0); // (A+B)^2
mzd_mul(C,A,A, 0);
mzd_addmul(C, B, A, 0);
mzd_addmul(C, A, B, 0);
mzd_addmul(C, B, B, 0);
if(!mzd_equal(C,D)) {
ret += 1;
}
ret += mzd_check_pattern(AA, m, n, offset, pattern);
ret += mzd_check_pattern(BB, m, n, offset, pattern);
ret += mzd_check_pattern(CC, m, n, offset, pattern);
ret += mzd_check_pattern(DD, m, n, offset, pattern);
}
mzd_free_test_matrix_random(AA, A);
mzd_free_test_matrix_random(BB, B);
mzd_free_test_matrix_random(CC, C);
mzd_free_test_matrix_random(DD, D);
if(ret == 0) {
printf(" ... passed\n");
} else {
printf(" ... FAILED\n");
}
#ifdef ABORT_ON_FAIL
if (ret) abort();
#endif
return ret;
}
