mzd_t *mzd_kernel_left_pluq(mzd_t *A, int const cutoff) {
mzp_t *P = mzp_init(A->nrows);
mzp_t *Q = mzp_init(A->ncols);
rci_t r = mzd_pluq(A, P, Q, cutoff);
if (r == A->ncols) {
mzp_free(P);
mzp_free(Q);
__M4RI_DD_MZD(A);
return NULL;
}
mzd_t *U = mzd_init_window(A, 0, 0, r, r);
mzd_t *B = mzd_init_window(A, 0, r, r, A->ncols);
mzd_trsm_upper_left(U, B, cutoff);
mzd_t *R = mzd_init(A->ncols, A->ncols - r);
mzd_t *RU = mzd_init_window(R, 0, 0, r, R->ncols);
mzd_copy(RU, B);
for(rci_t i = 0; i < R->ncols; ++i) {
mzd_write_bit(R, r + i, i, 1);
}
mzd_apply_p_left_trans(R, Q);
mzp_free(P);
mzp_free(Q);
mzd_free_window(RU);
mzd_free_window(U);
mzd_free_window(B);
__M4RI_DD_MZD(A);
__M4RI_DD_MZD(R);
return R;
}
int test_pluq_structured(rci_t m, rci_t n) {
printf("pluq: testing structured m: %5d, n: %5d", m, n);
mzd_t* A = mzd_init(m, n);
mzd_t* L = mzd_init(m, m);
mzd_t* U = mzd_init(m, n);
for(rci_t i = 0; i < m; i += 2)
for (rci_t j = i; j < n; ++j)
mzd_write_bit(A, i, j, 1);
mzd_t* Acopy = mzd_copy (NULL,A);
mzp_t* P = mzp_init(m);
mzp_t* Q = mzp_init(n);
rci_t r = mzd_pluq(A, P, Q, 0);
printf(", rank: %5d ",r);
for (rci_t i = 0; i < r; ++i){
for (rci_t j = 0; j < i; ++j)
mzd_write_bit(L, i, j, mzd_read_bit(A,i,j));
for (rci_t j = i + 1; j < n; ++j)
mzd_write_bit(U, i, j, mzd_read_bit(A,i,j));
}
for (rci_t i = r; i < m; ++i)
for (rci_t j = 0; j < r; ++j)
mzd_write_bit(L, i, j, mzd_read_bit(A,i,j));
for (rci_t i = 0; i < r; ++i){
mzd_write_bit(L,i,i, 1);
mzd_write_bit(U,i,i, 1);
}
mzd_apply_p_left(Acopy, P);
mzd_apply_p_right_trans(Acopy, Q);
mzd_addmul(Acopy, L, U, 0);
int status = 0;
for (rci_t i = 0; i < m; ++i)
for (rci_t j = 0; j < n; ++j){
if (mzd_read_bit (Acopy,i,j)){
status = 1;
break;
}
}
if (status) {
printf("\n");
printf(" ... FAILED\n");
} else
printf (" ... passed\n");
mzd_free(U);
mzd_free(L);
mzd_free(A);
mzd_free(Acopy);
mzp_free(P);
mzp_free(Q);
return status;
}
int test_lqup_half_rank(size_t m, size_t n) {
printf("pluq: testing half rank m: %5zd, n: %5zd",m,n);
mzd_t* U = mzd_init(m, n);
mzd_t* L = mzd_init(m, m);
mzd_t* U2 = mzd_init(m, n);
mzd_t* L2 = mzd_init(m, m);
mzd_t* A = mzd_init(m, n);
mzd_randomize (U);
mzd_randomize (L);
size_t i,j;
for (i=0; i<m && i<n; ++i){
mzd_write_bit(U,i,i, 1);
for (j=0; j<i;++j)
mzd_write_bit(U,i,j, 0);
if (i%2)
for (j=i; j<n;++j)
mzd_write_bit(U,i,j, 0);
for (j=i+1; j<m;++j)
mzd_write_bit(L,i,j, 0);
mzd_write_bit(L,i,i, 1);
}
mzd_mul(A, L, U, 0);
mzd_t* Acopy = mzd_copy (NULL,A);
mzp_t* Pt = mzp_init(m);
mzp_t* Q = mzp_init(n);
int r = mzd_pluq(A, Pt, Q, 0);
for (i=0; i<r; ++i){
for (j=0; j<i;++j)
mzd_write_bit (L2, i, j, mzd_read_bit(A,i,j));
for (j=i+1; j<n;++j)
mzd_write_bit (U2, i, j, mzd_read_bit(A,i,j));
}
for (i=r; i<m; i++)
for (j=0; j<r;++j)
mzd_write_bit (L2, i, j, mzd_read_bit(A,i,j));
for (i=0; i<r; ++i){
mzd_write_bit(L2,i,i, 1);
mzd_write_bit(U2,i,i, 1);
}
mzd_apply_p_left(Acopy, Pt);
mzd_apply_p_right_trans(Acopy, Q);
mzd_addmul(Acopy,L2,U2,0);
int status = 0;
for ( i=0; i<m; ++i) {
for ( j=0; j<n; ++j){
if (mzd_read_bit(Acopy,i,j)){
status = 1;
}
}
if(status)
break;
}
if (status)
printf(" ... FAILED\n");
else
printf (" ... passed\n");
mzd_free(U);
mzd_free(L);
mzd_free(U2);
mzd_free(L2);
mzd_free(A);
mzd_free(Acopy);
mzp_free(Pt);
mzp_free(Q);
return status;
}
int test_lqup_full_rank (size_t m, size_t n){
printf("pluq: testing full rank m: %5zu, n: %5zu",m,n);
mzd_t* U = mzd_init (m,n);
mzd_t* L = mzd_init (m,m);
mzd_t* U2 = mzd_init (m,n);
mzd_t* L2 = mzd_init (m,m);
mzd_t* A = mzd_init (m,n);
mzd_randomize (U);
mzd_randomize (L);
size_t i,j;
for (i=0; i<m; ++i){
for (j=0; j<i && j<n;++j)
mzd_write_bit(U,i,j, 0);
for (j=i+1; j<m;++j)
mzd_write_bit(L,i,j, 0);
if(i<n)
mzd_write_bit(U,i,i, 1);
mzd_write_bit(L,i,i, 1);
}
mzd_mul(A, L, U, 2048);
mzd_t* Acopy = mzd_copy (NULL,A);
mzp_t* P = mzp_init(m);
mzp_t* Q = mzp_init(n);
mzd_pluq(A, P, Q, 2048);
for (i=0; i<m; ++i){
for (j=0; j<i && j <n;++j)
mzd_write_bit (L2, i, j, mzd_read_bit(A,i,j));
for (j=i+1; j<n;++j)
mzd_write_bit (U2, i, j, mzd_read_bit(A,i,j));
}
for (i=0; i<n && i<m; ++i){
mzd_write_bit(L2,i,i, 1);
mzd_write_bit(U2,i,i, 1);
}
mzd_addmul(Acopy,L2,U2,0);
int status = 0;
for ( i=0; i<m; ++i)
for ( j=0; j<n; ++j){
if (mzd_read_bit (Acopy,i,j)){
status = 1;
}
}
if (status){
printf(" ... FAILED\n");
} else
printf (" ... passed\n");
mzd_free(U);
mzd_free(L);
mzd_free(U2);
mzd_free(L2);
mzd_free(A);
mzd_free(Acopy);
mzp_free(P);
mzp_free(Q);
return status;
}
