english name for symbols

.clang-format

@@ -7,6 +7,8 @@ ConstructorInitializerAllOnOneLineOrOnePerLine: true
 PointerAlignment: Left
 SortIncludes: true
 SpacesBeforeTrailingComments: 2
+SeparateDefinitionBlocks: Always
+SpaceBeforeCpp11BracedList: true
 UseTab: Always
 MaxEmptyLinesToKeep: 5
 

src/Gauss.cpp

@@ -0,0 +1,75 @@
+#include "Gauss.h"
+
+#include "Matrix.h"
+
+namespace Gauss {
+
+static void GaussNonJordan(Matrix& mat, bool reduite) {
+	int r = -1;
+	for (std::size_t j = 0; j < mat.GetColumnCount(); j++) {
+		std::size_t indice_ligne_maximum = r + 1;
+
+		// Recherche maximum
+		for (std::size_t i = r + 1; i < mat.GetRawCount(); i++) {
+			if (std::abs(mat.at(i, j)) > std::abs(mat.at(indice_ligne_maximum, j)))
+				indice_ligne_maximum = i;
+		}
+
+		// Si A[k,j]≠0 alors    (A[k,j] désigne la valeur de la ligne k et de la colonne j)
+		if (!IsEqualZero(mat.at(indice_ligne_maximum, j))) {
+			r++;
+
+			// Si k≠r alors
+			if (indice_ligne_maximum != r) {
+				// Échanger les lignes k et r  (On place la ligne du pivot en position r)
+				for (std::size_t k = 0; k < mat.GetColumnCount(); k++) {
+					std::swap(mat.at(indice_ligne_maximum, k), mat.at(r, k));
+				}
+			}
+
+			// Pour i de 1 jusqu'à n               (On simplifie les autres lignes)
+			for (std::size_t i = (reduite ? 0 : j); i < mat.GetRawCount(); i++) {
+				// Si i≠r alors
+				if (i != r) {
+					// Soustraire à la ligne i la ligne r multipliée par A[i,j] (de façon à
+					// annuler A[i,j])
+					for (int k = mat.GetColumnCount() - 1; k >= 0; k--) {
+						long double pivot = mat.at(r, j);
+						long double anul = mat.at(i, j);
+						mat.at(i, k) = mat.at(i, k) * pivot - mat.at(r, k) * anul;
+					}
+				}
+			}
+		}
+	}
+}
+
+static void GaussJordan(Matrix& mat, bool reduite) {
+	GaussNonJordan(mat, reduite);
+	for (std::size_t i = 0; i < mat.GetRawCount(); i++) {
+		int k = -1;
+		for (std::size_t j = 0; j < mat.GetColumnCount(); j++) {
+			if (!IsEqualZero(mat.at(i, j))) {
+				k = j;
+				break;
+			}
+		}
+		// ligne de 0
+		if (k == -1)
+			break;
+		// on divise la ligne par (i, k)
+		long double annul = mat.at(i, k);
+		for (int j = 0; j < mat.GetColumnCount(); j++) {
+			mat.at(i, j) /= annul;
+		}
+	}
+}
+
+void GaussJordan(Matrix& mat, bool reduite, bool normalise) {
+	if (normalise)
+		GaussJordan(mat, reduite);
+	else
+		GaussNonJordan(mat, reduite);
+}
+
+}  // namespace Gauss

src/Gauss.h

@@ -0,0 +1,9 @@
+#pragma once
+
+class Matrix;
+
+namespace Gauss {
+
+void GaussJordan(Matrix& mat, bool reduite, bool normalise);
+
+}  // namespace Gauss

src/Matrix.cpp

@@ -10,28 +10,30 @@ Matrix::Matrix(const std::string& fileNameInput) {
 	Load(fileNameInput);
 }
 
-Matrix::Matrix(std::size_t lignes, std::size_t colonnes) : m_Lignes(lignes), m_Colonnes(colonnes) {
+Matrix::Matrix(std::size_t lignes, std::size_t colonnes) : m_Raws(lignes), m_Columns(colonnes) {
-	m_Data.resize(m_Lignes * m_Colonnes);
+	m_Data.resize(m_Raws * m_Columns);
 }
+
 Matrix::Matrix(std::size_t lignes, std::size_t colonnes, std::initializer_list<long double>&& initList) :
-	m_Lignes(lignes), m_Colonnes(colonnes) {
+	m_Raws(lignes), m_Columns(colonnes) {
 	m_Data = initList;
-	m_Data.resize(m_Lignes * m_Colonnes);
+	m_Data.resize(m_Raws * m_Columns);
 }
 
 Matrix::~Matrix() {}
 
 Matrix Matrix::operator*(const Matrix& other) const {
-	if (m_Colonnes != other.m_Lignes) {
+	if (m_Columns != other.m_Raws) {
 		std::cerr << "Mutiplication impossible car la dimensions des matrices est incompatible" << std::endl;
+		return {1, 1, {0}};
 	}
 
-	Matrix result(m_Lignes, other.m_Colonnes);
+	Matrix result(m_Raws, other.m_Columns);
 
-	for (std::size_t i = 0; i < m_Lignes; ++i) {
+	for (std::size_t i = 0; i < m_Raws; ++i) {
-		for (std::size_t j = 0; j < other.m_Colonnes; ++j) {
+		for (std::size_t j = 0; j < other.m_Columns; ++j) {
 			long double sum = 0;
-			for (std::size_t k = 0; k < m_Colonnes; k++) {
+			for (std::size_t k = 0; k < m_Columns; k++) {
 				sum += at(i, k) * other.at(k, j);
 			}
 			result.at(i, j) = sum;
@@ -41,10 +43,10 @@ Matrix Matrix::operator*(const Matrix& other) const {
 }
 
 void Matrix::Print() const {
-	for (size_t i = 0; i < m_Lignes; ++i) {
+	for (size_t i = 0; i < m_Raws; ++i) {
 		std::cout << "[ ";
-		for (size_t j = 0; j < m_Colonnes; ++j) {
+		for (size_t j = 0; j < m_Columns; ++j) {
-			std::size_t indice = i * m_Lignes + j;
+			std::size_t indice = i * m_Raws + j;
 			std::cout << at(i, j) << " ";
 		}
 		std::cout << "]";
@@ -52,16 +54,9 @@ void Matrix::Print() const {
 	}
 }
 
-void Matrix::PrintDebug() {
-#ifndef NDEBUG
-	Print();
-	std::cout << "\n";
-#endif
-}
-
 void Matrix::Insert() {
-	for (size_t i = 0; i < m_Lignes; ++i) {
+	for (size_t i = 0; i < m_Raws; ++i) {
-		for (size_t j = 0; j < m_Colonnes; ++j) {
+		for (size_t j = 0; j < m_Columns; ++j) {
 			std::cin >> at(i, j);
 		}
 		std::cout << std::endl;
@@ -69,7 +64,7 @@ void Matrix::Insert() {
 }
 
 void Matrix::Save(const std::string& fileName) {
-	std::ofstream out{fileName};
+	std::ofstream out {fileName};
 	if (!out) {
 		std::cerr << "Impossible de sauvegarder la matrice !\n";
 		return;
@@ -78,7 +73,7 @@ void Matrix::Save(const std::string& fileName) {
 }
 
 void Matrix::Load(const std::string& filename) {
-	std::ifstream in{filename};
+	std::ifstream in {filename};
 	if (!in) {
 		std::cerr << "Impossible de charger la matrice !\n";
 		return;
@@ -87,56 +82,38 @@ void Matrix::Load(const std::string& filename) {
 }
 
 void Matrix::Transpose() {
-	Matrix result{m_Colonnes, m_Lignes};
+	Matrix result {m_Columns, m_Raws};
-	for (std::size_t i = 0; i < m_Lignes; i++) {
+	for (std::size_t i = 0; i < m_Raws; i++) {
-		for (std::size_t j = 0; j < m_Colonnes; j++) {
+		for (std::size_t j = 0; j < m_Columns; j++) {
 			result.at(j, i) = at(i, j);
 		}
 	}
 	*this = result;
 }
 
-void Matrix::Identity() {
+Matrix Matrix::Identity(std::size_t taille) {
-	assert(m_Lignes == m_Colonnes);
+	Matrix id {taille, taille};
-	for (std::size_t i = 0; i < m_Lignes; i++) {
+	for (std::size_t i = 0; i < taille; i++) {
-		for (std::size_t j = i; j < m_Colonnes; j++) {
+		for (std::size_t j = i; j < taille; j++) {
-			at(i, j) = i == j;
+			id.at(i, j) = (i == j);
 		}
 	}
-}
-
-Matrix Matrix::Identity(std::size_t taille) {
-	Matrix id{taille, taille};
-	id.Identity();
 	return id;
 }
 
-bool Matrix::IsInversed() const {
+void Matrix::Augment(const Matrix& droite) {
-	for (std::size_t i = 0; i < m_Lignes; ++i) {
+	assert(droite.m_Raws == m_Raws);
-		std::size_t j;
+	Matrix temp {m_Raws, m_Columns + droite.m_Columns};
-		for (j = 0; j < m_Colonnes; ++j) {
-			if (!IsEqualZero(at(i, j))) {
-				break;
-			}
-			return false;
-		}
-	}
-	return true;
-}
 
-void Matrix::Augmenter(const Matrix& droite) {
+	for (std::size_t i = 0; i < m_Raws; i++) {
-	assert(droite.m_Lignes == m_Lignes);
+		for (std::size_t j = 0; j < m_Columns; j++) {
-	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 i = 0; i < m_Raws; i++) {
-		for (std::size_t j = 0; j < droite.m_Colonnes; j++) {
+		for (std::size_t j = 0; j < droite.m_Columns; j++) {
-			temp.at(i, j + m_Colonnes) = droite.at(i, j);
+			temp.at(i, j + m_Columns) = droite.at(i, j);
 		}
 	}
 
@@ -144,11 +121,11 @@ void Matrix::Augmenter(const Matrix& droite) {
 }
 
 bool Matrix::operator==(const Matrix& other) const {
-	if (m_Lignes != other.m_Lignes || m_Colonnes != other.m_Colonnes)
+	if (m_Raws != other.m_Raws || m_Columns != other.m_Columns)
 		return false;
 
-	for (std::size_t i = 0; i < m_Lignes; i++) {
+	for (std::size_t i = 0; i < m_Raws; i++) {
-		for (std::size_t j = 0; j < m_Colonnes; j++) {
+		for (std::size_t j = 0; j < m_Columns; j++) {
 			if (!IsEqualZero(at(i, j) - other.at(i, j)))
 				return false;
 		}
@@ -157,95 +134,29 @@ bool Matrix::operator==(const Matrix& other) const {
 	return true;
 }
 
-void Matrix::GaussNonJordan(bool reduite) {
-	int r = -1;
-	for (std::size_t j = 0; j < m_Colonnes; j++) {
-		std::size_t indice_ligne_maximum = r + 1;
-
-		// Recherche maximum
-		for (std::size_t i = r + 1; i < m_Lignes; i++) {
-			if (std::abs(at(i, j)) > std::abs(at(indice_ligne_maximum, j)))
-				indice_ligne_maximum = i;
-		}
-
-		// std::cout << "l'indice du maximum est : " << indice_ligne_maximum << "\n\n";
-
-		// Si A[k,j]≠0 alors    (A[k,j] désigne la valeur de la ligne k et de la colonne j)
-		if (!IsEqualZero(at(indice_ligne_maximum, j))) {
-			r++;
-
-			// PrintDebug();
-
-			// Si k≠r alors
-			if (indice_ligne_maximum != r) {
-				// Échanger les lignes k et r  (On place la ligne du pivot en position r)
-				// std::cout << "On échange les lignes " << indice_ligne_maximum << " et " << r << '\n';
-				for (std::size_t k = 0; k < m_Colonnes; k++) {
-					std::swap(at(indice_ligne_maximum, k), at(r, k));
-				}
-			}
-
-			// Pour i de 1 jusqu'à n               (On simplifie les autres lignes)
-			for (std::size_t i = (reduite ? 0 : j); i < m_Lignes; i++) {
-				// Si i≠r alors
-				if (i != r) {
-					// Soustraire à la ligne i la ligne r multipliée par A[i,j] (de façon à
-					// annuler A[i,j])
-					for (int k = m_Colonnes - 1; k >= 0; k--) {
-						long double pivot = at(r, j);
-						long double anul = at(i, j);
-						at(i, k) = at(i, k) * pivot - at(r, k) * anul;
-					}
-				}
-			}
-		}
-	}
-}
-
-void Matrix::GaussJordan(bool reduite) {
-	GaussNonJordan(reduite);
-	for (std::size_t i = 0; i < m_Lignes; i++) {
-		int k = -1;
-		for (std::size_t j = 0; j < m_Colonnes; j++) {
-			if (!IsEqualZero(at(i, j))) {
-				k = j;
-				break;
-			}
-		}
-		// ligne de 0
-		if (k == -1)
-			break;
-		// on divise la ligne par (i, k)
-		long double annul = at(i, k);
-		for (int j = 0; j < m_Colonnes; j++) {
-			at(i, j) /= annul;
-		}
-	}
-}
-
 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];
+	return m_Data[ligne * m_Columns + colonne];
 }
 
 long double Matrix::at(std::size_t ligne, std::size_t colonne) const {
-	return m_Data[ligne * m_Colonnes + colonne];
+	return m_Data[ligne * m_Columns + colonne];
 }
 
 std::size_t Matrix::GetRawCount() const {
-	return m_Lignes;
+	return m_Raws;
 }
 
 std::size_t Matrix::GetColumnCount() const {
-	return m_Colonnes;
+	return m_Columns;
 }
 
 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);
+	assert(m_Raws >= ligne && m_Columns >= colonne);
-	Matrix result{ligne, colonne};
+	Matrix result {ligne, colonne};
 
 	for (std::size_t i = 0; i < ligne; i++) {
 		for (std::size_t j = 0; j < colonne; j++) {
@@ -257,9 +168,9 @@ Matrix Matrix::SubMatrix(std::size_t origine_ligne, std::size_t origine_colonne,
 }
 
 std::ostream& operator<<(std::ostream& stream, const Matrix& mat) {
-	stream << mat.m_Lignes << " " << mat.m_Colonnes << "\n";
+	stream << mat.m_Raws << " " << mat.m_Columns << "\n";
-	for (std::size_t i = 0; i < mat.m_Lignes; i++) {
+	for (std::size_t i = 0; i < mat.m_Raws; i++) {
-		for (std::size_t j = 0; j < mat.m_Colonnes; j++) {
+		for (std::size_t j = 0; j < mat.m_Columns; j++) {
 			stream << mat.at(i, j) << " ";
 		}
 		stream << "\n";
@@ -268,10 +179,10 @@ std::ostream& operator<<(std::ostream& stream, const Matrix& mat) {
 }
 
 std::istream& operator>>(std::istream& stream, Matrix& mat) {
-	stream >> mat.m_Lignes >> mat.m_Colonnes;
+	stream >> mat.m_Raws >> mat.m_Columns;
-	mat.m_Data.resize(mat.m_Lignes * mat.m_Colonnes);
+	mat.m_Data.resize(mat.m_Raws * mat.m_Columns);
-	for (std::size_t i = 0; i < mat.m_Lignes; i++) {
+	for (std::size_t i = 0; i < mat.m_Raws; i++) {
-		for (std::size_t j = 0; j < mat.m_Colonnes; j++) {
+		for (std::size_t j = 0; j < mat.m_Columns; j++) {
 			stream >> mat.at(i, j);
 		}
 	}

src/Matrix.h

@@ -7,54 +7,39 @@
 
 class Matrix {
   private:
-	std::size_t m_Lignes;
+	std::size_t m_Raws;
-	std::size_t m_Colonnes;
+	std::size_t m_Columns;
 	std::vector<long double> m_Data;
 
   public:
 	Matrix(const std::string& fileNameInput);
-	Matrix(std::size_t lignes, std::size_t colonnes);
+	Matrix(std::size_t raws, std::size_t columns);
-	Matrix(std::size_t lignes, std::size_t colonnes, std::initializer_list<long double>&& initList);
+	Matrix(std::size_t raws, std::size_t columns, std::initializer_list<long double>&& initList);
 	~Matrix();
 
 	std::size_t GetRawCount() const;
 	std::size_t GetColumnCount() const;
 
-	Matrix operator*(const Matrix& other) const;
+	void Insert();
-
-	void GaussNonJordan(bool reduite);
-
-	void GaussJordan(bool reduite);
-
 	void Print() const;
 
-	void PrintDebug();
-
-	void Insert();
-
 	void Save(const std::string& fileName);
-
 	void Load(const std::string& filename);
 
 	void Transpose();
 
-	void Identity();
+	static Matrix Identity(std::size_t size);
 
-	static Matrix Identity(std::size_t taille);
+	void Augment(const Matrix& right);
 
-	bool IsInversed() const;
+	Matrix SubMatrix(std::size_t raw_origin, std::size_t column_origin, std::size_t raw, std::size_t column) const;
-
-	void Augmenter(const Matrix& droite);
-
-	Matrix SubMatrix(std::size_t origine_ligne, std::size_t origine_colonne, std::size_t ligne, std::size_t colonne) const;
 
 	bool operator==(const Matrix& other) const;
+	Matrix operator*(const Matrix& other) const;
+	long double& operator[](std::size_t index);
 
-	long double& operator[](std::size_t indice);
+	long double& at(std::size_t raw, std::size_t column);
-
+	long double at(std::size_t raw, std::size_t column) const;
-	long double& at(std::size_t ligne, std::size_t colonne);
-
-	long double at(std::size_t ligne, std::size_t colonne) const;
 
 	friend std::ostream& operator<<(std::ostream& stream, const Matrix& mat);
 	friend std::istream& operator>>(std::istream& stream, Matrix& mat);

src/NR.h

@@ -7,6 +7,8 @@ class NR {
 
   public:
 	NR() : m_Numerator(0), m_Denominator(1) {}
+
 	NR(int entier) : m_Numerator(entier), m_Denominator(1) {}
+
 	NR(int numerator, int denominator) : m_Numerator(numerator), m_Denominator(denominator) {}
 };

src/Solver.cpp

@@ -1,21 +1,23 @@
 #include "Solver.h"
 
+#include "Gauss.h"
+
 Solver::Solver(const Matrix& mat) : m_Matrix(mat) {}
 
 Vect Solver::Image() const {
 	Matrix result = m_Matrix;
 	result.Transpose();
-	result.GaussJordan(true);
+	Gauss::GaussJordan(result, true, true);
 	result.Transpose();
 	return {result};
 }
 
 // https://en.wikipedia.org/wiki/Kernel_(linear_algebra)#Computation_by_Gaussian_elimination
-Vect Solver::Noyau() const {
+Vect Solver::Kernel() const {
 	Matrix result = m_Matrix;
 	result.Transpose();
-	result.Augmenter(Matrix::Identity(result.GetRawCount()));
+	result.Augment(Matrix::Identity(result.GetRawCount()));
-	result.GaussJordan(true);
+	Gauss::GaussJordan(result, true, true);
 	result.Transpose();
 
 	// nombre de colonnes non nulles
@@ -25,19 +27,19 @@ Vect Solver::Noyau() const {
 		result.GetColumnCount() - origine_colonne)};
 }
 
-VectAffine Solver::SystemeTriangulaire() const {
+VectAffine Solver::TriangularSystem() const {
 	Matrix mat = m_Matrix;
-	mat.GaussJordan(true);
+	Gauss::GaussJordan(mat, true, true);
 
-	Solver solver{mat.SubMatrix(0, 0, mat.GetRawCount(), mat.GetColumnCount() - 1)};
+	Solver solver {mat.SubMatrix(0, 0, mat.GetRawCount(), mat.GetColumnCount() - 1)};
 
-	Vect noyau = solver.Noyau();
+	Vect noyau = solver.Kernel();
 	Matrix origin = mat.SubMatrix(0, mat.GetColumnCount() - 1, mat.GetRawCount(), 1);
 
 	return {noyau, origin};
 }
 
-std::size_t Solver::Rang() const {
+std::size_t Solver::Rank() const {
 	Vect image = Image();
 	return image.GetCardinal();
 }

src/Solver.h

@@ -8,12 +8,13 @@ class Solver {
 
   public:
 	Solver(const Matrix& mat);
+
 	~Solver() {}
 
 	Vect Image() const;
-	Vect Noyau() const;
+	Vect Kernel() const;
 
-	VectAffine SystemeTriangulaire() const;
+	VectAffine TriangularSystem() const;
 
-	std::size_t Rang() const;
+	std::size_t Rank() const;
 };

src/Vect.cpp

@@ -1,5 +1,6 @@
 #include "Vect.h"
 
+#include "Gauss.h"
 #include "Solver.h"
 #include <cassert>
 #include <iostream>
@@ -43,9 +44,9 @@ bool Vect::operator==(const Vect& other) const {
 }
 
 void Vect::AddVector(const Matrix& mat) {
-	m_Data.Augmenter(mat);
+	m_Data.Augment(mat);
 	m_Data.Transpose();
-	m_Data.GaussNonJordan(false);
+	Gauss::GaussJordan(m_Data, false, false);
 	m_Data.Transpose();
 	Simplify();
 }
@@ -58,8 +59,8 @@ Matrix Vect::GetLinearSystem() const {
 	Matrix vect = m_Data;
 	vect.Transpose();
 
-	Solver solver{vect};
+	Solver solver {vect};
-	vect = solver.Noyau().m_Data;
+	vect = solver.Kernel().m_Data;
 	vect.Transpose();
 	return vect;
 }
@@ -68,7 +69,7 @@ void Vect::Print() const {
 	std::cout << "Espace vectoriel de dimension " << GetCardinal() << " de base :\n\n";
 	for (std::size_t i = 0; i < m_Data.GetRawCount(); i++) {
 		for (std::size_t j = 0; j < m_Data.GetColumnCount(); j++) {
-			printf("[ %u ]\t", static_cast<float>(m_Data.at(i, j)));
+			std::cout << "[ " << m_Data.at(i, j) << " ]\t";
 		}
 		std::cout << "\n";
 	}

src/Vect.h

@@ -38,7 +38,6 @@ class Vect {
 	void Simplify();
 };
 
-
 class VectAffine {
   private:
 	Vect m_Base;

src/main.cpp

@@ -1,3 +1,4 @@
+#include "Gauss.h"
 #include "Solver.h"
 #include <iostream>
 
@@ -16,13 +17,13 @@ void test() {
 	mat.Print();
 	// mat.Save("matrice4x4echelonne.mat"); */
 
-	Matrix mat2{"matrice4x4.mat"};
+	Matrix mat2 {"matrice4x4.mat"};
 	mat2.Print();
 
-	Solver solver{mat2};
+	Solver solver {mat2};
 
 	Vect image = solver.Image();
-	Vect noyau = solver.Noyau();
+	Vect noyau = solver.Kernel();
 
 	std::cout << "\tImage :\n";
 	image.Print();
@@ -34,7 +35,7 @@ void test() {
 	noyau.GetLinearSystem().Print();
 
 	std::cout << "\n\n";
-	solver.SystemeTriangulaire().Print();
+	solver.TriangularSystem().Print();
 }
 
 void prompt() {
@@ -52,7 +53,7 @@ void prompt() {
 
 	mat.Print();
 
-	mat.GaussJordan(true);
+	Gauss::GaussJordan(mat, true, true);
 
 	mat.Print();
 }

test/test_jordan.cpp

@@ -1,3 +1,4 @@
+#include "Gauss.h"
 #include "Matrix.h"
 #include <cassert>
 
@@ -5,9 +6,9 @@
 #error "Il faut être en debug mode ! xmake f -m debug"
 #endif
 
-struct Test{
+struct Test {
-    Matrix mat;
+	Matrix mat;
-    Matrix res;
+	Matrix res;
 };
 
 static const std::vector<Test> TEST_MATRICES = {
@@ -35,9 +36,9 @@ static const std::vector<Test> TEST_MATRICES = {
 
 void test() {
 	for (Test test : TEST_MATRICES) {
-        test.mat.GaussJordan(true);
+		Gauss::GaussJordan(test.mat, true, true);
-        assert(test.mat == test.res);
+		assert(test.mat == test.res);
-    }
+	}
 }
 
 int main(int argc, char** argv) {

test/test_solver.cpp

@@ -14,18 +14,18 @@ int main() {
 
 		std::cout << "Opening " << fileName << " ...\n";
 
-		std::ifstream in{fileName};
+		std::ifstream in {fileName};
 
-		Matrix mat{1, 1}, imageMat{1, 1}, noyauMat{1, 1};
+		Matrix mat {1, 1}, imageMat {1, 1}, noyauMat {1, 1};
 		in >> mat >> imageMat >> noyauMat;
 
-		Vect image{imageMat};
+		Vect image {imageMat};
-		Vect noyau{noyauMat};
+		Vect noyau {noyauMat};
 
-		Solver solver{mat};
+		Solver solver {mat};
 
 		assert(solver.Image() == image);
-		assert(solver.Noyau() == noyau);
+		assert(solver.Kernel() == noyau);
 	}
 	return 0;
 }