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Dev (#56)
* introduce int_solver.h Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * add int_solver class Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * track which var is an integer Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add queries for integrality of vars Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * resurrect lp_tst in its own director lp Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add file Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add_constraint has got a body Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * fix add_constraint and substitute_terms_in_linear_expression Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * after merge with Z3Prover Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * adding stub check_int_feasibility() Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * Dev (#50) * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * small fix in lar_solver.cpp Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * adding some content to the new check_int_feasibility() Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * Dev (#51) * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding more nlsat Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * nlsat integration Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding constraints Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * add missing initialization Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * test Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * Dev (#53) * change in a comment Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * Disabled debug output * removing FOCI2 interface from interp * remove foci reference from cmakelist.txt Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding more nlsat Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * nlsat integration Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding constraints Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * add missing initialization Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * debugging nra Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * updates to nra_solver integration to call it directly from theory_lra instead of over lar_solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * n/a Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * integrate nlsat Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * tidy Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * preserve is_int flag Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * remove a debug printout Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * Dev (#54) * change in a comment Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * Disabled debug output * removing FOCI2 interface from interp * remove foci reference from cmakelist.txt Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * initial skeletons for nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding more nlsat Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * nlsat integration Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding constraints Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * add missing initialization Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * adding nra Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * debugging nra Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * updates to nra_solver integration to call it directly from theory_lra instead of over lar_solver Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * n/a Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * integrate nlsat Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * tidy Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * use integer test from lra solver, updated it to work on term variables Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * fix equality check in assume-eq Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * fix model_is_int_feasible Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * untested gcd_test() Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * call fill_explanation_from_fixed_columns() Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add the call to pivot_fixed_vars_from_basis() to int_solver.cpp::check() Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * port more of theory_arith_int.h Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * use statistics of lar_solver by theory_lra.cpp Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * port more code to int_solver.cpp Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add an assert Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * more int porting Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * fix a bug in pivot_fixed_vars_from_basis Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * small change Signed-off-by: Lev Nachmanson <levnach@hotmail.com> * implement find_inf_int_base_column() Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * catch unregistered vars in add_var_bound Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add a file Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * compile for vs2012 Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * fix asserts in add_var_bound Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * fix the lp_solver init when workig on an mps file Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * towards int_solver::check() Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * change in int_solver::check() signature Signed-off-by: Lev Nachmanson <levnach@microsoft.com> * add handlers for lia moves Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com> * spacing Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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src/util/lp/int_solver.h
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src/util/lp/int_solver.h
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/*
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Copyright (c) 2017 Microsoft Corporation
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Author: Lev Nachmanson
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*/
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#pragma once
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#include "util/lp/lp_settings.h"
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#include "util/lp/static_matrix.h"
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#include "util/lp/iterator_on_row.h"
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#include "util/lp/int_set.h"
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#include "util/lp/lar_term.h"
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namespace lean {
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class lar_solver;
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template <typename T, typename X>
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struct lp_constraint;
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enum class lia_move {
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ok,
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branch,
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cut,
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conflict,
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give_up
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};
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struct explanation {
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vector<std::pair<mpq, constraint_index>> m_explanation;
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};
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class int_solver {
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public:
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// fields
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lar_solver *m_lar_solver;
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int_set m_old_values_set;
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vector<impq> m_old_values_data;
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int_set m_inf_int_set;
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unsigned m_branch_cut_counter;
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// methods
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int_solver(lar_solver* lp);
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// main function to check that solution provided by lar_solver is valid for integral values,
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// or provide a way of how it can be adjusted.
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lia_move check(lar_term& t, mpq& k, explanation& ex);
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private:
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// how to tighten bounds for integer variables.
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bool gcd_test_for_row(static_matrix<mpq, numeric_pair<mpq>> & A, unsigned i, explanation &);
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// gcd test
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// 5*x + 3*y + 6*z = 5
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// suppose x is fixed at 2.
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// so we have 10 + 3(y + 2z) = 5
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// 5 = -3(y + 2z)
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// this is unsolvable because 5/3 is not an integer.
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// so we create a lemma that rules out this condition.
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//
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bool gcd_test(explanation & ); // returns false in case of failure. Creates a theory lemma in case of failure.
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// create goromy cuts
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// either creates a conflict or a bound.
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// branch and bound:
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// decide what to branch and bound on
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// creates a fresh inequality.
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bool branch(const lp_constraint<mpq, mpq> & new_inequality);
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bool ext_gcd_test(iterator_on_row<mpq> & it,
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mpq const & least_coeff,
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mpq const & lcm_den,
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mpq const & consts,
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explanation & ex);
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void fill_explanation_from_fixed_columns(iterator_on_row<mpq> & it, explanation &);
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void add_to_explanation_from_fixed_or_boxed_column(unsigned j, explanation &);
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void remove_fixed_vars_from_base();
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void patch_int_infeasible_columns();
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bool get_freedom_interval_for_column(unsigned j, bool & inf_l, impq & l, bool & inf_u, impq & u, mpq & m);
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linear_combination_iterator<mpq> * get_column_iterator(unsigned j);
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bool lower(unsigned j) const;
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bool upper(unsigned j) const;
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const impq & lower_bound(unsigned j) const;
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const impq & upper_bound(unsigned j) const;
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bool is_int(unsigned j) const;
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bool is_base(unsigned j) const;
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bool is_boxed(unsigned j) const;
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bool value_is_int(unsigned j) const;
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void set_value(unsigned j, const impq & new_val);
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void fix_non_base_columns();
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void failed();
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bool is_feasible() const;
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const impq & get_value(unsigned j) const;
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void display_column(std::ostream & out, unsigned j) const;
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bool inf_int_set_is_correct() const;
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void init_inf_int_set();
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void update_column_in_inf_set_set(unsigned j);
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bool column_is_int_inf(unsigned j) const;
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void trace_inf_rows() const;
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int find_inf_int_base_column();
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int find_inf_int_boxed_base_column_with_smallest_range();
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lp_settings& settings();
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void move_non_base_vars_to_bounds();
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};
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}
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