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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2022-05-10 07:42:32 -07:00
parent 6a8ac5f9b1
commit 0557d72d1c
4 changed files with 32 additions and 16 deletions
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41
src/math/simplex/sparse_matrix_ops.h
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@ -25,45 +25,60 @@ namespace simplex {
class sparse_matrix_ops {
public:
static void kernel(sparse_matrix<mpq_ext>& M, vector<vector<mpq>>& K) {
static void kernel(sparse_matrix<mpq_ext>& M, vector<vector<rational>>& K) {
mpq_ext::numeral coeff;
vector<unsigned> d;
bool_vector c;
rational D1, D2;
vector<unsigned> d, c;
unsigned m = M.num_vars();
auto& mgr = M.get_manager();
for (unsigned v = 0; v < m; ++v)
c.push_back(false);
c.push_back(0);
for (auto const& row : M.get_rows()) {
// scan for non-zero variable in row
bool found = false;
d.push_back(0);
for (auto const& [coeff1, v] : M.get_row(row)) {
for (auto& [coeff1, v] : M.get_row(row)) {
if (mpq_manager<false>::is_zero(coeff1))
continue;
if (c[v])
if (c[v] != 0)
continue;
d.back() = v + 1;
c[v] = true;
c[v] = row.id() + 1;
D1 = rational(-1) / coeff1;
mgr.set(coeff1, mpq(-1));
// eliminate v from other rows.
for (auto const& [row2, row_entry2] : M.get_rows(v)) {
if (row.id() == row2.id())
if (row.id() >= row2.id() || row_entry2->m_coeff == 0)
continue;
if (row_entry2->m_coeff == 0)
for (auto& [coeff2, w] : M.get_row(row2)) {
if (v == w)
mgr.set(coeff2, (D1*coeff2).to_mpq());
}
}
for (auto& [coeff2, w] : M.get_row(row)) {
if (v == w)
continue;
M.get_manager().set(coeff, (- row_entry2->m_coeff / coeff1).to_mpq());
M.add(row2, coeff, row);
D2 = coeff2;
mgr.set(coeff2, mpq(0));
for (auto const& [row2, row_entry2] : M.get_rows(w)) {
if (row.id() >= row2.id() || row_entry2->m_coeff == 0 || row_entry2->m_var == v)
continue;
// mgr.set(row_entry2->m_coeff, row_entry2->m_coeff + D2*row2[v]);
}
}
break;
}
}
M.get_manager().del(coeff);
mgr.del(coeff);
// TODO: extract kernel using d
for (unsigned k = 0; k < d.size(); ++k) {
if (d[k] != 0)
continue;
K.push_back(vector<mpq>());
K.push_back(vector<rational>());
for (unsigned i = 0; i < d.size(); ++i) {
// K.back().push_back(d[i] > 0 ? M[d[i]-1][k] : (i == k) ? 1 : 0);
}