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add cancellations

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

syntax errors

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

use std::vector instead of vector in cut_solver temporarily

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix in is_upper_bound, is_lower_bound

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add bound() for polynomial, needs more testing

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on resolve

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

implement resolve()

Signed-off-by: Lev Nachmanson <levnach@microsoft.com>

implement improves()

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

replace low_bound by lower_bound

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

better printing in cut_solver.h

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add value vector to cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on bound propagaion for cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

bound propagation for integer inequalites

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

bound propagation for integer inequalites

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

bound propagattions on integers

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

adding m_explanation field to cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify bound propagation in cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

calculate conflict explanation

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

change m_explanation type to a set

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

making cut_solver a member of int_solver, missing push/pop support

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

Nikolaj's comments

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

Nikolaj's comments

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

return explanations from cut_solver and hook up push/pop

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

hook up push/pop

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

using resize of std::vector

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

it is a big squashed commit

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

rename hpp to cpp

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fixes in push/pop of cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

return simple inequalities a part of a conflict

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on propagation and the main loop

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add file

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

init m_v[j], the var values only when j is fixed

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

handle decide in cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

start on resolve_conflict

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

start on resolve_conflict

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

remove cut_solver_def.h

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

in the middle

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

change signature of resolve

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix the domain of the decided var

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on tightening of ineqs

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on tight ineqs

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on tightening

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on tightening

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

resolve conflict

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix in usage of resolve()

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on conflict resolution

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

cut_solver is not a template

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

represent var_info as a class, not a struct

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

make literal a class

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

better resolve_conflict scheme, and switch to *constraints in literals

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

debug conflict resolution in cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

switch to vector

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

remove nondetermenistic behavior from cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

debug resolve conflict

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix backjump

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix backjump

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix backjump

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix backjump

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

dumb explanation

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

get rid of a parameter

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add lemmas origins

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use lemma_origins to provide correct explanations

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use lemma_origins to provide correct explanations

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

store lemmas in a separate vector

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use std::unordered_set for m_dependent_constraints

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use std::unordered_set for m_dependent_constraints

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix bugs with lemmas

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

finding conflicting cores

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

switch from changed variables to active_set

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

less active constraints

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

work on cut_solver.h

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

propagate simple constraing immediately

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

propagate simple constraints immediately

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fixing bugs with active set

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

remove const_cast

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

towards unbounded variables

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

toward unbounded variables

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

toward unbounded variables

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

make lemmas_origins a set

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use correct hash and equal in m_lemma_origins

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add testing code

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add testing code

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

debug

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

debug unlimited vars

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

take in Nikolaj's comments and improvements

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

address the comments

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

handle unlimited vars in check_inconsistent

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

debug

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

detect trivial polynomials in resolve

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

Nikolaj's changes

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify handling of m_global_bound_var

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

decide on m_global_bound_var if it is not fixed

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify m_global_bound_var

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

remove m_global_bound_var, simplify the indexing of var_infos of cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

do not run cut_solver with vars without any bound

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

small changes

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add cancellation in cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

do not pop lemmas during a cut_solver run

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

treating cut_solver as an heurisitic

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

prepare for cut_solver returning undef

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify work with active_set in cut_solver, add stats

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify var_info literals

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix a bug in fill_conflict_explanation

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix a bug in the conflict explanation

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add timeout to validate_* in theory_lra.cpp

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify cut_solver, no special treatment for simple constraints

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

cleanup the cancel story

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

cleanup cancelling

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix a bug in push/pop of cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

extract a method in int_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

some progress with the new scheme

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

add testing code

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fixes in test and in literal creation

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix a bug in bound propagation in cut_solver.h

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

simplify cut_solver

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

provide valid conflict explanation

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use a lazy push in stacked_map

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use a lazy push in stacked_map

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

optimize stack operations on var_info's domains

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fix a bug in tightening

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

use the standard tactics from qflia_tactic

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

spread the var domain stack over literals

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

spread the var domain stack over literals

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

avoid cycling in cut_solver.h and fixes in push/pop

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>

fixes after rebase

Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
Lev Nachmanson 2017-10-03 11:50:21 -07:00
parent 58ca4518e5
commit 6202b2f2e4
103 changed files with 7035 additions and 5106 deletions

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@ -0,0 +1,368 @@
/*++
Copyright (c) 2017 Microsoft Corporation
Module Name:
<name>
Abstract:
<abstract>
Author:
Lev Nachmanson (levnach)
Revision History:
--*/
#include "util/vector.h"
#include "util/lp/square_dense_submatrix.h"
namespace lp {
template <typename T, typename X>
square_dense_submatrix<T, X>::square_dense_submatrix (sparse_matrix<T, X> *parent_matrix, unsigned index_start) :
m_index_start(index_start),
m_dim(parent_matrix->dimension() - index_start),
m_v(m_dim * m_dim),
m_parent(parent_matrix),
m_row_permutation(m_parent->dimension()),
m_column_permutation(m_parent->dimension()) {
int row_offset = - static_cast<int>(m_index_start);
for (unsigned i = index_start; i < parent_matrix->dimension(); i++) {
unsigned row = parent_matrix->adjust_row(i);
for (auto & iv : parent_matrix->get_row_values(row)) {
unsigned j = parent_matrix->adjust_column_inverse(iv.m_index);
lp_assert(j>= m_index_start);
m_v[row_offset + j] = iv.m_value;
}
row_offset += m_dim;
}
}
template <typename T, typename X> void square_dense_submatrix<T, X>::init(sparse_matrix<T, X> *parent_matrix, unsigned index_start) {
m_index_start = index_start;
m_dim = parent_matrix->dimension() - index_start;
m_v.resize(m_dim * m_dim);
m_parent = parent_matrix;
m_column_permutation.init(m_parent->dimension());
for (unsigned i = index_start; i < parent_matrix->dimension(); i++) {
unsigned row = parent_matrix->adjust_row(i);
for (auto & iv : parent_matrix->get_row_values(row)) {
unsigned j = parent_matrix->adjust_column_inverse(iv.m_index);
(*this)[i][j] = iv.m_value;
}
}
}
template <typename T, typename X> int square_dense_submatrix<T, X>::find_pivot_column_in_row(unsigned i) const {
int j = -1;
T max = zero_of_type<T>();
lp_assert(i >= m_index_start);
unsigned row_start = (i - m_index_start) * m_dim;
for (unsigned k = i; k < m_parent->dimension(); k++) {
unsigned col = adjust_column(k); // this is where the column is in the row
unsigned offs = row_start + col - m_index_start;
T t = abs(m_v[offs]);
if (t > max) {
j = k;
max = t;
}
}
return j;
}
template <typename T, typename X> void square_dense_submatrix<T, X>::pivot(unsigned i, lp_settings & settings) {
divide_row_by_pivot(i);
for (unsigned k = i + 1; k < m_parent->dimension(); k++)
pivot_row_to_row(i, k, settings);
}
template <typename T, typename X> void square_dense_submatrix<T, X>::pivot_row_to_row(unsigned i, unsigned row, lp_settings & settings) {
lp_assert(i < row);
unsigned pj = adjust_column(i); // the pivot column
unsigned pjd = pj - m_index_start;
unsigned pivot_row_offset = (i-m_index_start)*m_dim;
T pivot = m_v[pivot_row_offset + pjd];
unsigned row_offset= (row-m_index_start)*m_dim;
T m = m_v[row_offset + pjd];
lp_assert(!is_zero(pivot));
m_v[row_offset + pjd] = -m * pivot; // creating L matrix
for (unsigned j = m_index_start; j < m_parent->dimension(); j++) {
if (j == pj) {
pivot_row_offset++;
row_offset++;
continue;
}
auto t = m_v[row_offset] - m_v[pivot_row_offset] * m;
if (settings.abs_val_is_smaller_than_drop_tolerance(t)) {
m_v[row_offset] = zero_of_type<T>();
} else {
m_v[row_offset] = t;
}
row_offset++; pivot_row_offset++;
// at the same time we pivot the L too
}
}
template <typename T, typename X> void square_dense_submatrix<T, X>::divide_row_by_pivot(unsigned i) {
unsigned pj = adjust_column(i); // the pivot column
unsigned irow_offset = (i - m_index_start) * m_dim;
T pivot = m_v[irow_offset + pj - m_index_start];
lp_assert(!is_zero(pivot));
for (unsigned k = m_index_start; k < m_parent->dimension(); k++) {
if (k == pj){
m_v[irow_offset++] = one_of_type<T>() / pivot; // creating the L matrix diagonal
continue;
}
m_v[irow_offset++] /= pivot;
}
}
template <typename T, typename X> void square_dense_submatrix<T, X>::update_parent_matrix(lp_settings & settings) {
for (unsigned i = m_index_start; i < m_parent->dimension(); i++)
update_existing_or_delete_in_parent_matrix_for_row(i, settings);
push_new_elements_to_parent_matrix(settings);
for (unsigned i = m_index_start; i < m_parent->dimension(); i++)
m_parent->set_max_in_row(m_parent->adjust_row(i));
}
template <typename T, typename X> void square_dense_submatrix<T, X>::update_existing_or_delete_in_parent_matrix_for_row(unsigned i, lp_settings & settings) {
bool diag_updated = false;
unsigned ai = m_parent->adjust_row(i);
auto & row_vals = m_parent->get_row_values(ai);
for (unsigned k = 0; k < row_vals.size(); k++) {
auto & iv = row_vals[k];
unsigned j = m_parent->adjust_column_inverse(iv.m_index);
if (j < i) {
m_parent->remove_element(row_vals, iv);
k--;
} else if (i == j) {
m_parent->m_columns[iv.m_index].m_values[iv.m_other].set_value(iv.m_value = one_of_type<T>());
diag_updated = true;
} else { // j > i
T & v = (*this)[i][j];
if (settings.abs_val_is_smaller_than_drop_tolerance(v)) {
m_parent->remove_element(row_vals, iv);
k--;
} else {
m_parent->m_columns[iv.m_index].m_values[iv.m_other].set_value(iv.m_value = v);
v = zero_of_type<T>(); // only new elements are left above the diagonal
}
}
}
if (!diag_updated) {
unsigned aj = m_parent->adjust_column(i);
m_parent->add_new_element(ai, aj, one_of_type<T>());
}
}
template <typename T, typename X> void square_dense_submatrix<T, X>::push_new_elements_to_parent_matrix(lp_settings & settings) {
for (unsigned i = m_index_start; i < m_parent->dimension() - 1; i++) {
unsigned ai = m_parent->adjust_row(i);
for (unsigned j = i + 1; j < m_parent->dimension(); j++) {
T & v = (*this)[i][j];
if (!settings.abs_val_is_smaller_than_drop_tolerance(v)) {
unsigned aj = m_parent->adjust_column(j);
m_parent->add_new_element(ai, aj, v);
}
v = zero_of_type<T>(); // leave only L elements now
}
}
}
template <typename T, typename X>
template <typename L>
L square_dense_submatrix<T, X>::row_by_vector_product(unsigned i, const vector<L> & v) {
lp_assert(i >= m_index_start);
unsigned row_in_subm = i - m_index_start;
unsigned row_offset = row_in_subm * m_dim;
L r = zero_of_type<L>();
for (unsigned j = 0; j < m_dim; j++)
r += m_v[row_offset + j] * v[adjust_column_inverse(m_index_start + j)];
return r;
}
template <typename T, typename X>
template <typename L>
L square_dense_submatrix<T, X>::column_by_vector_product(unsigned j, const vector<L> & v) {
lp_assert(j >= m_index_start);
unsigned offset = j - m_index_start;
L r = zero_of_type<L>();
for (unsigned i = 0; i < m_dim; i++, offset += m_dim)
r += m_v[offset] * v[adjust_row_inverse(m_index_start + i)];
return r;
}
template <typename T, typename X>
template <typename L>
L square_dense_submatrix<T, X>::row_by_indexed_vector_product(unsigned i, const indexed_vector<L> & v) {
lp_assert(i >= m_index_start);
unsigned row_in_subm = i - m_index_start;
unsigned row_offset = row_in_subm * m_dim;
L r = zero_of_type<L>();
for (unsigned j = 0; j < m_dim; j++)
r += m_v[row_offset + j] * v[adjust_column_inverse(m_index_start + j)];
return r;
}
template <typename T, typename X>
template <typename L>
void square_dense_submatrix<T, X>::apply_from_left_local(indexed_vector<L> & w, lp_settings & settings) {
#ifdef Z3DEBUG
// dense_matrix<T, X> deb(*this);
// vector<L> deb_w(w.m_data.size());
// for (unsigned i = 0; i < w.m_data.size(); i++)
// deb_w[i] = w[i];
// deb.apply_from_left(deb_w);
#endif // use indexed vector here
#ifndef DO_NOT_USE_INDEX
vector<L> t(m_parent->dimension(), zero_of_type<L>());
for (auto k : w.m_index) {
unsigned j = adjust_column(k); // k-th element will contribute only to column j
if (j < m_index_start || j >= this->m_index_start + this->m_dim) { // it is a unit matrix outside
t[adjust_row_inverse(j)] = w[k];
} else {
const L & v = w[k];
for (unsigned i = 0; i < m_dim; i++) {
unsigned row = adjust_row_inverse(m_index_start + i);
unsigned offs = i * m_dim + j - m_index_start;
t[row] += m_v[offs] * v;
}
}
}
w.m_index.clear();
for (unsigned i = 0; i < m_parent->dimension(); i++) {
const L & v = t[i];
if (!settings.abs_val_is_smaller_than_drop_tolerance(v)){
w.m_index.push_back(i);
w.m_data[i] = v;
} else {
w.m_data[i] = zero_of_type<L>();
}
}
#else
vector<L> t(m_parent->dimension());
for (unsigned i = 0; i < m_index_start; i++) {
t[adjust_row_inverse(i)] = w[adjust_column_inverse(i)];
}
for (unsigned i = m_index_start; i < m_parent->dimension(); i++){
t[adjust_row_inverse(i)] = row_by_indexed_vector_product(i, w);
}
for (unsigned i = 0; i < m_parent->dimension(); i++) {
w.set_value(t[i], i);
}
for (unsigned i = 0; i < m_parent->dimension(); i++) {
const L & v = t[i];
if (!is_zero(v))
w.m_index.push_back(i);
w.m_data[i] = v;
}
#endif
#ifdef Z3DEBUG
// cout << "w final" << endl;
// print_vector(w.m_data);
// lp_assert(vectors_are_equal<T>(deb_w, w.m_data));
// lp_assert(w.is_OK());
#endif
}
template <typename T, typename X>
template <typename L>
void square_dense_submatrix<T, X>::apply_from_left_to_vector(vector<L> & w) {
// lp_settings & settings) {
// dense_matrix<T, L> deb(*this);
// vector<L> deb_w(w);
// deb.apply_from_left_to_X(deb_w, settings);
// // cout << "deb" << endl;
// // print_matrix(deb);
// // cout << "w" << endl;
// // print_vector(w.m_data);
// // cout << "deb_w" << endl;
// // print_vector(deb_w);
vector<L> t(m_parent->dimension());
for (unsigned i = 0; i < m_index_start; i++) {
t[adjust_row_inverse(i)] = w[adjust_column_inverse(i)];
}
for (unsigned i = m_index_start; i < m_parent->dimension(); i++){
t[adjust_row_inverse(i)] = row_by_vector_product(i, w);
}
for (unsigned i = 0; i < m_parent->dimension(); i++) {
w[i] = t[i];
}
#ifdef Z3DEBUG
// cout << "w final" << endl;
// print_vector(w.m_data);
// lp_assert(vectors_are_equal<L>(deb_w, w));
#endif
}
template <typename T, typename X> bool square_dense_submatrix<T, X>::is_L_matrix() const {
#ifdef LEAN_DEBUG
lp_assert(m_row_permutation.is_identity());
for (unsigned i = 0; i < m_parent->dimension(); i++) {
if (i < m_index_start) {
lp_assert(m_column_permutation[i] == i);
continue;
}
unsigned row_offs = (i-m_index_start)*m_dim;
for (unsigned k = 0; k < m_dim; k++) {
unsigned j = m_index_start + k;
unsigned jex = adjust_column_inverse(j);
if (jex > i) {
lp_assert(is_zero(m_v[row_offs + k]));
} else if (jex == i) {
lp_assert(!is_zero(m_v[row_offs + k]));
}
}
}
#endif
return true;
}
template <typename T, typename X> void square_dense_submatrix<T, X>::apply_from_right(vector<T> & w) {
#ifdef Z3DEBUG
// dense_matrix<T, X> deb(*this);
// vector<T> deb_w(w);
// deb.apply_from_right(deb_w);
#endif
vector<T> t(w.size());
for (unsigned j = 0; j < m_index_start; j++) {
t[adjust_column_inverse(j)] = w[adjust_row_inverse(j)];
}
unsigned end = m_index_start + m_dim;
for (unsigned j = end; j < m_parent->dimension(); j++) {
t[adjust_column_inverse(j)] = w[adjust_row_inverse(j)];
}
for (unsigned j = m_index_start; j < end; j++) {
t[adjust_column_inverse(j)] = column_by_vector_product(j, w);
}
w = t;
#ifdef LEAN_DEBUG
// lp_assert(vector_are_equal<T>(deb_w, w));
#endif
}
#ifdef Z3DEBUG
template <typename T, typename X> T square_dense_submatrix<T, X>::get_elem (unsigned i, unsigned j) const {
i = adjust_row(i);
j = adjust_column(j);
if (i < m_index_start || j < m_index_start)
return i == j? one_of_type<T>() : zero_of_type<T>();
unsigned offs = (i - m_index_start)* m_dim + j - m_index_start;
return m_v[offs];
}
#endif
template <typename T, typename X> void square_dense_submatrix<T, X>::conjugate_by_permutation(permutation_matrix<T, X> & q) {
m_row_permutation.multiply_by_permutation_from_left(q);
m_column_permutation.multiply_by_reverse_from_right(q);
}
}