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////////////////////////////////////////////////////////////////////////////////
//
// Matrix.hh
//
// produced: 21/08/97 jr
// last change: 30/10/97 jr
//
////////////////////////////////////////////////////////////////////////////////
#ifndef MATRIX_HH
#define MATRIX_HH
#include <assert.h>
#include <iostream>
#include <limits>
#include "Permutation.hh"
#include "CommandlineOptions.hh"
#include "Vector.hh"
#include "IntegerSet.hh"
#include "IntegerSet64.hh"
#ifndef STL_CONTAINERS
#include "Array.hh"
namespace topcom {
typedef Array<Vector> matrix_data;
};
#else
#include <vector>
namespace topcom {
typedef std::vector<Vector> matrix_data;
}
#endif
namespace topcom {
class Matrix : public matrix_data {
private:
static const char start_char;
static const char end_char;
static const char delim_char;
public:
static const char col_delim_char;
public:
static const parameter_type col_capacity;
public:
// constructors:
inline Matrix();
inline Matrix(const Matrix&);
inline Matrix(Matrix&&);
inline Matrix(const Matrix&,
const parameter_type min_col,
const parameter_type max_col);
inline Matrix(const Matrix&,
const IntegerSet&);
inline Matrix(const Matrix&,
const IntegerSet64&);
inline Matrix(const Vector&);
inline Matrix(const parameter_type,
const parameter_type,
const Field& init_entry = FieldConstants::ZERO);
inline Matrix(const Permutation& perm);
// destructor:
inline ~Matrix();
// assignment:
inline Matrix& operator=(const Matrix&);
inline Matrix& operator=(Matrix&&);
// accessors:
inline const parameter_type rowdim() const;
inline const parameter_type coldim() const;
const Vector row(const parameter_type) const;
// resizing:
void row_resize(const parameter_type, const Field& init_entry = FieldConstants::ZERO);
inline void col_resize(const parameter_type, const Field& init_entry = FieldConstants::ZERO);
// indexing:
inline Vector& col(const parameter_type);
inline const Vector& col(const parameter_type) const;
inline Field& operator()(const parameter_type, const parameter_type);
inline const Field& operator()(const parameter_type, const parameter_type) const;
// in place operations:
Matrix& canonicalize();
Matrix& add(const Matrix&);
Matrix& scale(const Field&);
Matrix& augment(const Matrix&, const IntegerSet& = IntegerSet());
Matrix& stack(const Matrix&);
Matrix& swap_cols(const parameter_type, const parameter_type);
Matrix& swap_rows(const parameter_type, const parameter_type);
Matrix& row_echelon_form(const parameter_type start_row = 0, const parameter_type start_col = 0, const Field& scale = 1);
// out of place operations:
const Field left_upper_det() const;
inline const Field det() const;
Matrix transpose() const;
friend const Matrix multiply(const Matrix&, const Matrix&);
// transformation:
Vector StackOfAllColumns() const;
// keys for containers:
inline const size_type keysize() const;
inline const size_type key(const size_type) const;
// iostream:
std::ostream& pretty_print(std::ostream& ost) const;
// overload of istream with canonicalize:
std::istream& read(std::istream&);
inline friend std::istream& operator>>(std::istream&, Matrix&);
std::ostream& write(std::ostream&) const;
inline friend std::ostream& operator<<(std::ostream&, const Matrix&);
};
inline Matrix::Matrix() : matrix_data() {
reserve(col_capacity);
}
inline Matrix::Matrix(const Matrix& matrix) : matrix_data(matrix) {}
inline Matrix::Matrix(Matrix&& matrix) : matrix_data(std::move(matrix)) {}
inline Matrix::Matrix(const Matrix& matrix, parameter_type min_col, parameter_type max_col) :
#ifndef STL_CONTAINERS
matrix_data(matrix, min_col, max_col)
#else
matrix_data(matrix.begin() + std::min<parameter_type>(min_col, matrix.coldim()),
matrix.begin() + std::min<parameter_type>(max_col, matrix.coldim()))
#endif
{}
inline Matrix::Matrix(const Matrix& matrix, const IntegerSet& colsubset) :
matrix_data() {
parameter_type colidx = 0;
const parameter_type m_coldim = matrix.coldim();
for (IntegerSet::const_iterator iter = colsubset.begin();
iter != colsubset.end();
++iter) {
if (*iter < m_coldim) {
this->push_back(matrix.at(*iter));
++colidx;
}
else {
break;
}
}
}
inline Matrix::Matrix(const Matrix& matrix, const IntegerSet64& colsubset) :
matrix_data() {
parameter_type colidx = 0;
const parameter_type m_coldim = matrix.coldim();
for (IntegerSet64::const_iterator iter = colsubset.begin();
iter != colsubset.end();
++iter) {
if (*iter < m_coldim) {
this->push_back(matrix.at(*iter));
++colidx;
}
else {
break;
}
}
}
inline Matrix::Matrix(const Vector& vector) : matrix_data(1, vector) {
}
inline Matrix::Matrix(const parameter_type init_rowdim,
const parameter_type init_coldim,
const Field& init_entry) :
matrix_data(init_coldim) {
for (parameter_type i = 0; i < init_coldim; ++i) {
this->col(i) = Vector(init_rowdim, init_entry);
}
}
inline Matrix::Matrix(const Permutation& perm) : matrix_data(perm.n(), Vector(perm.k(), FieldConstants::ZERO)) {
for (parameter_type i = 0; i < perm.k(); ++i) {
(*this)(i, perm[i]) = FieldConstants::ONE;
}
}
inline Matrix::~Matrix() {
#ifdef CONSTRUCTOR_DEBUG
std::cerr << "destroying Matrix " << *this << std::endl;
#endif
}
// assignment:
inline Matrix& Matrix::operator=(const Matrix& matrix) {
if (this == &matrix) {
return *this;
}
matrix_data::operator=(matrix);
return *this;
}
inline Matrix& Matrix::operator=(Matrix&& matrix) {
if (this == &matrix) {
return *this;
}
matrix_data::operator=(std::move(matrix));
return *this;
}
inline const parameter_type Matrix::rowdim() const {
if (size() == 0) {
return 0;
}
else {
return this->col(0).size();
}
}
inline const parameter_type Matrix::coldim() const {
return size();
}
inline void Matrix::col_resize(const parameter_type new_memsize, const Field& init_entry) {
matrix_data::resize(new_memsize, Vector(rowdim(), init_entry));
}
inline Vector& Matrix::col(const parameter_type index){
return this->at(index);
}
inline const Vector& Matrix::col(const parameter_type index) const {
return this->at(index);
}
inline Field& Matrix::operator()(const parameter_type row, const parameter_type col) {
return this->at(col).at(row);
}
inline const Field& Matrix::operator()(const parameter_type row, const parameter_type col) const {
return this->at(col).at(row);
}
inline const Field Matrix::det() const {
#ifdef INDEX_CHECK
assert(coldim() == rowdim());
#endif
return this->left_upper_det();
}
// keys for containers:
inline const size_type Matrix::keysize() const {
return (size_type)coldim() * (size_type)rowdim();
}
inline const size_type Matrix::key(const size_type n) const {
return hash<Field>()((*this)(n % (size_type)coldim(), n / (size_type)rowdim()));
}
inline std::istream& operator>>(std::istream& ist, Matrix& m) {
m.read(ist);
return ist;
}
inline std::ostream& operator<<(std::ostream& ost, const Matrix& m) {
m.write(ost);
return ost;
}
// special matrices:
inline Matrix identity_matrix(const parameter_type dim) {
return Matrix(Permutation(dim, dim));
}
}; // namespace topcom
#endif
// eof Matrix.hh
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