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/********************* */
/*! \file projections.h
** \verbatim
** Top contributors (to current version):
** Gereon Kremer
** This file is part of the CVC4 project.
** Copyright (c) 2009-2020 by the authors listed in the file AUTHORS
** in the top-level source directory) and their institutional affiliations.
** All rights reserved. See the file COPYING in the top-level source
** directory for licensing information.\endverbatim
**
** \brief Implements utilities for CAD projection operators.
**
** Implements utilities for CAD projection operators.
**/
#include "cvc4_private.h"
#ifndef CVC4__THEORY__ARITH__NL__CAD_PROJECTIONS_H
#define CVC4__THEORY__ARITH__NL__CAD_PROJECTIONS_H
#include "util/real_algebraic_number.h"
#ifdef CVC4_USE_POLY
#include <poly/polyxx.h>
#include <algorithm>
#include <iostream>
#include <vector>
namespace CVC4 {
namespace theory {
namespace arith {
namespace nl {
namespace cad {
/** Sort and remove duplicates from the list of polynomials. */
void reduceProjectionPolynomials(std::vector<poly::Polynomial>& polys);
/**
* Adds a polynomial to the list of projection polynomials.
* Before adding, it factorizes the polynomials and removed constant factors.
*/
void addPolynomial(std::vector<poly::Polynomial>& polys,
const poly::Polynomial& poly);
/** Adds a list of polynomials using add_polynomial(). */
void addPolynomials(std::vector<poly::Polynomial>& polys,
const std::vector<poly::Polynomial>& p);
/** Make a set of polynomials a finest square-free basis. */
void makeFinestSquareFreeBasis(std::vector<poly::Polynomial>& polys);
/**
* Computes McCallum's projection operator.
*/
std::vector<poly::Polynomial> projectionMcCallum(
const std::vector<poly::Polynomial>& polys);
} // namespace cad
} // namespace nl
} // namespace arith
} // namespace theory
} // namespace CVC4
#endif
#endif
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