/usr/include/libnormaliz/sublattice_representation.h is in libnormaliz0-dev-common 3.1.1+ds-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 | /*
* Normaliz
* Copyright (C) 2007-2014 Winfried Bruns, Bogdan Ichim, Christof Soeger
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*
* As an exception, when this program is distributed through (i) the App Store
* by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or (iii) Google Play
* by Google Inc., then that store may impose any digital rights management,
* device limits and/or redistribution restrictions that are required by its
* terms of service.
*/
/**
* The class Sublattice_Representation represents a sublattice of Z^n as Z^r.
* To transform vectors of the sublattice use:
* Z^r --> Z^n and Z^n --> Z^r
* v |-> vA u |-> (uB)/c
* A r x n matrix
* B n x r matrix
* c Integer
*/
#ifndef SUBLATTICE_REPRESENTATION_H
#define SUBLATTICE_REPRESENTATION_H
#include <vector>
#include <libnormaliz/libnormaliz.h>
#include <libnormaliz/matrix.h>
//---------------------------------------------------------------------------
namespace libnormaliz {
template<typename Integer> class Matrix;
// template<typename Integer> class Lineare_Transformation;
using std::vector;
template<typename Integer>
class Sublattice_Representation {
template<typename> friend class Sublattice_Representation;
size_t dim, rank;
bool is_identity;
Matrix<Integer> A;
Matrix<Integer> B;
Integer c;
mutable mpz_class external_index;
mutable Matrix<Integer> Equations;
mutable bool Equations_computed;
mutable Matrix<Integer> Congruences;
mutable bool Congruences_computed;
void make_equations() const;
void make_congruences() const;
//---------------------------------------------------------------------------
public:
//---------------------------------------------------------------------------
// Construction and destruction
//---------------------------------------------------------------------------
/**
* creates a dummy object
*/
Sublattice_Representation() {}
/**
* creates a representation of Z^n as a sublattice of itself
*/
Sublattice_Representation(size_t n);
/**
* Main Constructor
* creates a representation of a sublattice of Z^n
* if direct_summand is false the sublattice is generated by the rows of M
* otherwise it is a direct summand of Z^n containing the rows of M
*/
Sublattice_Representation(const Matrix<Integer>& M, bool take_saturation);
// Sublattice_Representation(const Lineare_Transformation<Integer>& LT, bool take_saturation);
template<typename IntegerFC>
Sublattice_Representation(const Sublattice_Representation<IntegerFC>& Original);
//---------------------------------------------------------------------------
// Manipulation operations
//---------------------------------------------------------------------------
/* like the matching constructor */
void initialize(const Matrix<Integer>& M, bool take_saturation, bool& success);
/* first this then SR when going from Z^n to Z^r */
void compose(const Sublattice_Representation<Integer>& SR);
/* compose with the dual of SR */
void compose_dual(const Sublattice_Representation<Integer>& SR);
//---------------------------------------------------------------------------
// Transformations
//---------------------------------------------------------------------------
Matrix<Integer> to_sublattice (const Matrix<Integer>& M) const;
Matrix<Integer> from_sublattice (const Matrix<Integer>& M) const;
Matrix<Integer> to_sublattice_dual (const Matrix<Integer>& M) const;
Matrix<Integer> from_sublattice_dual (const Matrix<Integer>& M) const;
vector<Integer> to_sublattice (const vector<Integer>& V) const;
vector<Integer> from_sublattice (const vector<Integer>& V) const;
vector<Integer> to_sublattice_dual (const vector<Integer>& M) const;
vector<Integer> from_sublattice_dual (const vector<Integer>& V) const;
vector<Integer> to_sublattice_dual_no_div (const vector<Integer>& M) const;
// and with integrated type conversion
template<typename ToType, typename FromType>
void convert_to_sublattice(ToType& ret, const FromType& val) const {
convert(ret, to_sublattice(val));
}
template<typename ToType, typename FromType>
void convert_from_sublattice(ToType& ret, const FromType& val) const {
ret = from_sublattice(convertTo<ToType>(val));
}
template<typename ToType, typename FromType>
void convert_to_sublattice_dual(ToType& ret, const FromType& val) const {
convert(ret, to_sublattice_dual(val));
}
template<typename ToType, typename FromType>
void convert_from_sublattice_dual(ToType& ret, const FromType& val) const {
ret = from_sublattice_dual(convertTo<ToType>(val));
}
template<typename ToType, typename FromType>
void convert_to_sublattice_dual_no_div(ToType& ret, const FromType& val) const {
convert(ret, to_sublattice_dual_no_div(val));
}
//---------------------------------------------------------------------------
// Data acces
//---------------------------------------------------------------------------
/* returns the dimension of the ambient space */
size_t getDim() const;
/* returns the rank of the sublattice */
size_t getRank() const;
Integer getAnnihilator() const;
bool IsIdentity()const;
const Matrix<Integer>& getEquationsMatrix() const;
const vector<vector<Integer> >& getEquations() const;
const Matrix<Integer>& getCongruencesMatrix() const;
const vector<vector<Integer> >& getCongruences() const;
mpz_class getExternalIndex() const;
const Matrix<Integer>& getEmbeddingMatrix() const;
const vector<vector<Integer> >& getEmbedding() const;
const Matrix<Integer>& getProjectionMatrix() const;
const vector<vector<Integer> >& getProjection() const;
};
}
//---------------------------------------------------------------------------
#endif
//---------------------------------------------------------------------------
|