blob: 39d2b122194435cd0c4e823ce965564aa0b70b68 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
|
/********************* */
/*! \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
**
** 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.
**/
#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 reduce_projection_polynomials(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 add_polynomial(std::vector<poly::Polynomial>& polys,
const poly::Polynomial& poly);
/** Adds a list of polynomials using add_polynomial(). */
void add_polynomials(std::vector<poly::Polynomial>& polys,
const std::vector<poly::Polynomial>& p);
/** Make a set of polynomials a finest square-free basis. */
void make_finest_square_free_basis(std::vector<poly::Polynomial>& polys);
/**
* Ensure that two sets of polynomials are finest square-free basis relative to
* each other.
*/
void make_finest_square_free_basis(std::vector<poly::Polynomial>& lhs,
std::vector<poly::Polynomial>& rhs);
/**
* Computes McCallum's projection operator.
*/
std::vector<poly::Polynomial> projection_mccallum(
const std::vector<poly::Polynomial>& polys);
} // namespace cad
} // namespace nl
} // namespace arith
} // namespace theory
} // namespace CVC4
#endif
#endif
|
