less use of transpose

src/Matrix.cpp

@@ -97,6 +97,25 @@ void Matrix::Augment(const Matrix& a_Right) {
 	*this = temp;
 }
 
+void Matrix::AugmentBottom(const Matrix& a_Bottom) {
+	assert(a_Bottom.m_Columns == m_Columns);
+	Matrix temp {m_Raws + a_Bottom.GetRawCount(), m_Columns};
+
+	for (std::size_t i = 0; i < m_Raws; i++) {
+		for (std::size_t j = 0; j < m_Columns; j++) {
+			temp.at(i, j) = at(i, j);
+		}
+	}
+
+	for (std::size_t i = 0; i < a_Bottom.GetRawCount(); i++) {
+		for (std::size_t j = 0; j < GetColumnCount(); j++) {
+			temp.at(i + GetRawCount(), j) = a_Bottom.at(i, j);
+		}
+	}
+
+	*this = temp;
+}
+
 Matrix Matrix::operator+(const Matrix& a_Other) const {
 	assert(GetColumnCount() == a_Other.GetColumnCount() && GetRawCount() == a_Other.GetRawCount());
 

src/Solver.cpp

@@ -3,9 +3,7 @@
 #include "Gauss.h"
 
 Vect Solver::Image(Matrix&& a_Matrix) const {
-	a_Matrix.Transpose();
-	Gauss::GaussJordan(a_Matrix, true, true);
-	a_Matrix.Transpose();
+	Gauss::GaussJordanColumn(a_Matrix, true, true);
 	return {a_Matrix};
 }
 
@@ -14,16 +12,14 @@ Vect Solver::Kernel(Matrix&& a_Matrix) const {
 	std::size_t matrixRawCount = a_Matrix.GetRawCount();
 	std::size_t matrixColumnCount = a_Matrix.GetColumnCount();
 
-	a_Matrix.Transpose();
-	a_Matrix.Augment(Matrix::Identity(a_Matrix.GetRawCount()));
-	Gauss::GaussJordan(a_Matrix, true, true);
-	a_Matrix.Transpose();
+	a_Matrix.AugmentBottom(Matrix::Identity(a_Matrix.GetColumnCount()));
+	Gauss::GaussJordanColumn(a_Matrix, true, true);
 
 	// nombre de colonnes non nulles
 	std::size_t origine_colonne = Vect(a_Matrix.SubMatrix(0, 0, matrixRawCount, matrixColumnCount)).GetCardinal();
 
-	return {a_Matrix.SubMatrix(matrixRawCount, origine_colonne, a_Matrix.GetRawCount() - matrixRawCount,
-		a_Matrix.GetColumnCount() - origine_colonne)};
+	return {a_Matrix.SubMatrix(
+		matrixRawCount, origine_colonne, a_Matrix.GetRawCount() - matrixRawCount, a_Matrix.GetColumnCount() - origine_colonne)};
 }
 
 VectAffine Solver::RectangularSystem(Matrix&& a_MatrixA, const Matrix& a_VectorB) const {