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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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Leonardo de Moura 2012-10-02 11:35:25 -07:00
parent 3f9edad676
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lib/arith_eq_solver.h Normal file
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/*++
Copyright (c) 2007 Microsoft Corporation
Module Name:
arith_eq_solver.h
Abstract:
Solver for linear arithmetic equalities.
Author:
Nikolaj Bjorner (nbjorner) 2012-02-25
--*/
#ifndef _ARITH_EQ_SOLVER_H_
#define _ARITH_EQ_SOLVER_H_
#include"arith_decl_plugin.h"
#include"arith_rewriter.h"
/**
\brief Simplifier for the arith family.
*/
class arith_eq_solver {
typedef rational numeral;
ast_manager& m;
params_ref m_params;
arith_util m_util;
arith_rewriter m_arith_rewriter;
bool is_neg_poly(expr * t) const;
void prop_mod_const(expr * e, unsigned depth, numeral const& k, expr_ref& result);
bool gcd_test(vector<numeral>& value);
unsigned find_abs_min(vector<numeral>& values);
void gcd_normalize(vector<numeral>& values);
void substitute(vector<numeral>& r, vector<numeral> const& s, unsigned index);
bool solve_integer_equations_units(
vector<vector<numeral> > & rows,
vector<numeral>& unsat_row
);
bool solve_integer_equations_omega(
vector<vector<numeral> > & rows,
vector<numeral>& unsat_row
);
void compute_hnf(vector<vector<numeral> >& A);
bool solve_integer_equations_hermite(
vector<vector<numeral> > & rows,
vector<numeral>& unsat_row
);
bool solve_integer_equations_gcd(
vector<vector<numeral> > & rows,
vector<numeral>& unsat_row
);
public:
arith_eq_solver(ast_manager & m, params_ref const& p = params_ref());
~arith_eq_solver();
// Integer linear solver for a single equation.
// The array values contains integer coefficients
//
// Determine integer solutions to:
//
// a+k = 0
//
// where a = sum_i a_i*k_i
//
typedef vector<numeral> row;
typedef vector<row> matrix;
bool solve_integer_equation(
row& values,
unsigned& index,
bool& is_fresh
);
// Integer linear solver.
// Determine integer solutions to:
//
// a+k = 0
//
// where a = sum_i a_i*k_i
//
// Solution, if there is any, is returned as a substitution.
// The return value is "true".
// If there is no solution, then return "false".
// together with equality "eq_unsat", such that
//
// eq_unsat = 0
//
// is implied and is unsatisfiable over the integers.
//
bool solve_integer_equations(vector<row>& rows, row& unsat_row);
};
#endif /* _ARITH_EQ_SOLVER_H_ */