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https://github.com/Z3Prover/z3
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na
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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parent
6a8ac5f9b1
commit
0557d72d1c
4 changed files with 32 additions and 16 deletions
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@ -37,7 +37,7 @@ namespace simplex {
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}
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}
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void kernel(sparse_matrix<mpq_ext>& M, vector<vector<mpq>>& K) {
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void kernel(sparse_matrix<mpq_ext>& M, vector<vector<rational>>& K) {
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sparse_matrix_ops::kernel(M, K);
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}
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@ -33,6 +33,7 @@ Notes:
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#include "math/simplex/sparse_matrix.h"
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#include "util/mpq_inf.h"
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#include "util/rational.h"
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#include "util/heap.h"
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#include "util/lbool.h"
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#include "util/uint_set.h"
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@ -201,6 +202,6 @@ namespace simplex {
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void ensure_rational_solution(simplex<mpq_ext>& s);
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void kernel(sparse_matrix<mpq_ext>& s, vector<vector<mpq>>& K);
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void kernel(sparse_matrix<mpq_ext>& s, vector<vector<rational>>& K);
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};
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@ -25,45 +25,60 @@ namespace simplex {
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class sparse_matrix_ops {
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public:
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static void kernel(sparse_matrix<mpq_ext>& M, vector<vector<mpq>>& K) {
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static void kernel(sparse_matrix<mpq_ext>& M, vector<vector<rational>>& K) {
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mpq_ext::numeral coeff;
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vector<unsigned> d;
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bool_vector c;
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rational D1, D2;
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vector<unsigned> d, c;
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unsigned m = M.num_vars();
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auto& mgr = M.get_manager();
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for (unsigned v = 0; v < m; ++v)
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c.push_back(false);
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c.push_back(0);
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for (auto const& row : M.get_rows()) {
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// scan for non-zero variable in row
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bool found = false;
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d.push_back(0);
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for (auto const& [coeff1, v] : M.get_row(row)) {
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for (auto& [coeff1, v] : M.get_row(row)) {
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if (mpq_manager<false>::is_zero(coeff1))
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continue;
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if (c[v])
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if (c[v] != 0)
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continue;
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d.back() = v + 1;
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c[v] = true;
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c[v] = row.id() + 1;
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D1 = rational(-1) / coeff1;
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mgr.set(coeff1, mpq(-1));
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// eliminate v from other rows.
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for (auto const& [row2, row_entry2] : M.get_rows(v)) {
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if (row.id() == row2.id())
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if (row.id() >= row2.id() || row_entry2->m_coeff == 0)
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continue;
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if (row_entry2->m_coeff == 0)
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for (auto& [coeff2, w] : M.get_row(row2)) {
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if (v == w)
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mgr.set(coeff2, (D1*coeff2).to_mpq());
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}
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}
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for (auto& [coeff2, w] : M.get_row(row)) {
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if (v == w)
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continue;
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M.get_manager().set(coeff, (- row_entry2->m_coeff / coeff1).to_mpq());
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M.add(row2, coeff, row);
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D2 = coeff2;
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mgr.set(coeff2, mpq(0));
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for (auto const& [row2, row_entry2] : M.get_rows(w)) {
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if (row.id() >= row2.id() || row_entry2->m_coeff == 0 || row_entry2->m_var == v)
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continue;
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// mgr.set(row_entry2->m_coeff, row_entry2->m_coeff + D2*row2[v]);
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}
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}
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break;
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}
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}
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M.get_manager().del(coeff);
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mgr.del(coeff);
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// TODO: extract kernel using d
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for (unsigned k = 0; k < d.size(); ++k) {
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if (d[k] != 0)
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continue;
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K.push_back(vector<mpq>());
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K.push_back(vector<rational>());
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for (unsigned i = 0; i < d.size(); ++i) {
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// K.back().push_back(d[i] > 0 ? M[d[i]-1][k] : (i == k) ? 1 : 0);
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}
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