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;
}
Example #2
0
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;
}