#include "Matrix.h" #include #include #include #include #include Matrix::Matrix(const std::string& fileNameInput) { Load(fileNameInput); } Matrix::Matrix(std::size_t lignes, std::size_t colonnes) : m_Lignes(lignes), m_Colonnes(colonnes) { m_Data.resize(m_Lignes * m_Colonnes); } Matrix::Matrix(std::size_t lignes, std::size_t colonnes, std::initializer_list&& initList) : m_Lignes(lignes), m_Colonnes(colonnes) { m_Data = initList; m_Data.resize(m_Lignes * m_Colonnes); } Matrix::~Matrix() {} Matrix Matrix::operator*(const Matrix& other) const { if (m_Colonnes != other.m_Lignes) { std::cerr << "Mutiplication impossible car la dimensions des matrices est incompatible" << std::endl; return {1, 1, {0}}; } Matrix result(m_Lignes, other.m_Colonnes); for (std::size_t i = 0; i < m_Lignes; ++i) { for (std::size_t j = 0; j < other.m_Colonnes; ++j) { long double sum = 0; for (std::size_t k = 0; k < m_Colonnes; k++) { sum += at(i, k) * other.at(k, j); } result.at(i, j) = sum; } } return result; } void Matrix::Print() const { for (size_t i = 0; i < m_Lignes; ++i) { std::cout << "[ "; for (size_t j = 0; j < m_Colonnes; ++j) { std::size_t indice = i * m_Lignes + j; std::cout << at(i, j) << " "; } std::cout << "]"; std::cout << std::endl; } } void Matrix::Insert() { for (size_t i = 0; i < m_Lignes; ++i) { for (size_t j = 0; j < m_Colonnes; ++j) { std::cin >> at(i, j); } std::cout << std::endl; } } void Matrix::Save(const std::string& fileName) { std::ofstream out {fileName}; if (!out) { std::cerr << "Impossible de sauvegarder la matrice !\n"; return; } out << *this; } void Matrix::Load(const std::string& filename) { std::ifstream in {filename}; if (!in) { std::cerr << "Impossible de charger la matrice !\n"; return; } in >> *this; } void Matrix::Transpose() { Matrix result {m_Colonnes, m_Lignes}; for (std::size_t i = 0; i < m_Lignes; i++) { for (std::size_t j = 0; j < m_Colonnes; j++) { result.at(j, i) = at(i, j); } } *this = result; } Matrix Matrix::Identity(std::size_t taille) { Matrix id {taille, taille}; for (std::size_t i = 0; i < taille; i++) { for (std::size_t j = i; j < taille; j++) { id.at(i, j) = (i == j); } } return id; } void Matrix::Augmenter(const Matrix& droite) { assert(droite.m_Lignes == m_Lignes); Matrix temp {m_Lignes, m_Colonnes + droite.m_Colonnes}; for (std::size_t i = 0; i < m_Lignes; i++) { for (std::size_t j = 0; j < m_Colonnes; j++) { temp.at(i, j) = at(i, j); } } for (std::size_t i = 0; i < m_Lignes; i++) { for (std::size_t j = 0; j < droite.m_Colonnes; j++) { temp.at(i, j + m_Colonnes) = droite.at(i, j); } } *this = temp; } bool Matrix::operator==(const Matrix& other) const { if (m_Lignes != other.m_Lignes || m_Colonnes != other.m_Colonnes) return false; for (std::size_t i = 0; i < m_Lignes; i++) { for (std::size_t j = 0; j < m_Colonnes; j++) { if (!IsEqualZero(at(i, j) - other.at(i, j))) return false; } } return true; } long double& Matrix::operator[](std::size_t indice) { return m_Data[indice]; } long double& Matrix::at(std::size_t ligne, std::size_t colonne) { return m_Data[ligne * m_Colonnes + colonne]; } long double Matrix::at(std::size_t ligne, std::size_t colonne) const { return m_Data[ligne * m_Colonnes + colonne]; } std::size_t Matrix::GetRawCount() const { return m_Lignes; } std::size_t Matrix::GetColumnCount() const { return m_Colonnes; } Matrix Matrix::SubMatrix(std::size_t origine_ligne, std::size_t origine_colonne, std::size_t ligne, std::size_t colonne) const { assert(m_Lignes >= ligne && m_Colonnes >= colonne); Matrix result {ligne, colonne}; for (std::size_t i = 0; i < ligne; i++) { for (std::size_t j = 0; j < colonne; j++) { result.at(i, j) = at(i + origine_ligne, j + origine_colonne); } } return result; } std::ostream& operator<<(std::ostream& stream, const Matrix& mat) { stream << mat.m_Lignes << " " << mat.m_Colonnes << "\n"; for (std::size_t i = 0; i < mat.m_Lignes; i++) { for (std::size_t j = 0; j < mat.m_Colonnes; j++) { stream << mat.at(i, j) << " "; } stream << "\n"; } return stream; } std::istream& operator>>(std::istream& stream, Matrix& mat) { stream >> mat.m_Lignes >> mat.m_Colonnes; mat.m_Data.resize(mat.m_Lignes * mat.m_Colonnes); for (std::size_t i = 0; i < mat.m_Lignes; i++) { for (std::size_t j = 0; j < mat.m_Colonnes; j++) { stream >> mat.at(i, j); } } return stream; }