init random

.vscode/launch.json

@@ -7,8 +7,8 @@
         {
             "type": "xmake",
             "request": "launch",
-            "name": "Debug random kernel",
-            "target": "test_random_kernel",
+            "name": "Debug XMake target",
+            "target": "Pivot",
             "cwd": "${workspaceFolder}/matricies",
         }
     ]

.vscode/settings.json

@@ -44,23 +44,6 @@
         "stdexcept": "cpp",
         "streambuf": "cpp",
         "cinttypes": "cpp",
-        "typeinfo": "cpp",
-        "codecvt": "cpp",
-        "condition_variable": "cpp",
-        "cstring": "cpp",
-        "ctime": "cpp",
-        "ratio": "cpp",
-        "fstream": "cpp",
-        "future": "cpp",
-        "iomanip": "cpp",
-        "mutex": "cpp",
-        "semaphore": "cpp",
-        "sstream": "cpp",
-        "stop_token": "cpp",
-        "thread": "cpp",
-        "chrono": "cpp",
-        "optional": "cpp",
-        "ranges": "cpp",
-        "span": "cpp"
+        "typeinfo": "cpp"
     }
 }

imgui.ini

@@ -1,16 +0,0 @@
-[Window][Debug##Default]
-Pos=60,60
-Size=400,400
-
-[Window][Right Top Window]
-Pos=640,0
-Size=640,576
-
-[Window][Bottom Part]
-Pos=0,576
-Size=1280,144
-
-[Window][Left Top Window]
-Pos=0,0
-Size=640,576
-

include/Matrix.h

@@ -18,7 +18,7 @@
  */
 class Matrix {
   public:
-	typedef long double Element;
+	typedef NR Element;
 	typedef std::vector<Element>::iterator iterator;
 
   private:

include/Vect.h

@@ -105,12 +105,6 @@ class VectAffine {
 	 */
 	bool IsElementOf(const Matrix& a_Vector) const;
 
-	/**
-	 * \brief Exprime l'espace vectoriel comme les solutions d'un système linéaire des coordonnées des vecteurs
-	 * \return Une matrice représentant le système linéaire
-	 */
-	Matrix GetLinearSystem() const;
-
 	bool operator==(const VectAffine& a_VectAffine) const {
 		return m_Origin == a_VectAffine.GetOrigin() && m_Base == a_VectAffine.GetBase();
 	};

matricies/plot.tex

@@ -1,135 +0,0 @@
-% GNUPLOT: LaTeX picture with Postscript
-\begingroup
-  \makeatletter
-  \providecommand\color[2][]{%
-    \GenericError{(gnuplot) \space\space\space\@spaces}{%
-      Package color not loaded in conjunction with
-      terminal option `colourtext'%
-    }{See the gnuplot documentation for explanation.%
-    }{Either use 'blacktext' in gnuplot or load the package
-      color.sty in LaTeX.}%
-    \renewcommand\color[2][]{}%
-  }%
-  \providecommand\includegraphics[2][]{%
-    \GenericError{(gnuplot) \space\space\space\@spaces}{%
-      Package graphicx or graphics not loaded%
-    }{See the gnuplot documentation for explanation.%
-    }{The gnuplot epslatex terminal needs graphicx.sty or graphics.sty.}%
-    \renewcommand\includegraphics[2][]{}%
-  }%
-  \providecommand\rotatebox[2]{#2}%
-  \@ifundefined{ifGPcolor}{%
-    \newif\ifGPcolor
-    \GPcolortrue
-  }{}%
-  \@ifundefined{ifGPblacktext}{%
-    \newif\ifGPblacktext
-    \GPblacktexttrue
-  }{}%
-  % define a \g@addto@macro without @ in the name:
-  \let\gplgaddtomacro\g@addto@macro
-  % define empty templates for all commands taking text:
-  \gdef\gplbacktext{}%
-  \gdef\gplfronttext{}%
-  \makeatother
-  \ifGPblacktext
-    % no textcolor at all
-    \def\colorrgb#1{}%
-    \def\colorgray#1{}%
-  \else
-    % gray or color?
-    \ifGPcolor
-      \def\colorrgb#1{\color[rgb]{#1}}%
-      \def\colorgray#1{\color[gray]{#1}}%
-      \expandafter\def\csname LTw\endcsname{\color{white}}%
-      \expandafter\def\csname LTb\endcsname{\color{black}}%
-      \expandafter\def\csname LTa\endcsname{\color{black}}%
-      \expandafter\def\csname LT0\endcsname{\color[rgb]{1,0,0}}%
-      \expandafter\def\csname LT1\endcsname{\color[rgb]{0,1,0}}%
-      \expandafter\def\csname LT2\endcsname{\color[rgb]{0,0,1}}%
-      \expandafter\def\csname LT3\endcsname{\color[rgb]{1,0,1}}%
-      \expandafter\def\csname LT4\endcsname{\color[rgb]{0,1,1}}%
-      \expandafter\def\csname LT5\endcsname{\color[rgb]{1,1,0}}%
-      \expandafter\def\csname LT6\endcsname{\color[rgb]{0,0,0}}%
-      \expandafter\def\csname LT7\endcsname{\color[rgb]{1,0.3,0}}%
-      \expandafter\def\csname LT8\endcsname{\color[rgb]{0.5,0.5,0.5}}%
-    \else
-      % gray
-      \def\colorrgb#1{\color{black}}%
-      \def\colorgray#1{\color[gray]{#1}}%
-      \expandafter\def\csname LTw\endcsname{\color{white}}%
-      \expandafter\def\csname LTb\endcsname{\color{black}}%
-      \expandafter\def\csname LTa\endcsname{\color{black}}%
-      \expandafter\def\csname LT0\endcsname{\color{black}}%
-      \expandafter\def\csname LT1\endcsname{\color{black}}%
-      \expandafter\def\csname LT2\endcsname{\color{black}}%
-      \expandafter\def\csname LT3\endcsname{\color{black}}%
-      \expandafter\def\csname LT4\endcsname{\color{black}}%
-      \expandafter\def\csname LT5\endcsname{\color{black}}%
-      \expandafter\def\csname LT6\endcsname{\color{black}}%
-      \expandafter\def\csname LT7\endcsname{\color{black}}%
-      \expandafter\def\csname LT8\endcsname{\color{black}}%
-    \fi
-  \fi
-    \setlength{\unitlength}{0.0500bp}%
-    \ifx\gptboxheight\undefined%
-      \newlength{\gptboxheight}%
-      \newlength{\gptboxwidth}%
-      \newsavebox{\gptboxtext}%
-    \fi%
-    \setlength{\fboxrule}{0.5pt}%
-    \setlength{\fboxsep}{1pt}%
-    \definecolor{tbcol}{rgb}{1,1,1}%
-\begin{picture}(7200.00,5040.00)%
-    \gplgaddtomacro\gplbacktext{%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,554){\makebox(0,0)[r]{\strut{}0}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,1141){\makebox(0,0)[r]{\strut{}0.05}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,1727){\makebox(0,0)[r]{\strut{}0.1}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,2314){\makebox(0,0)[r]{\strut{}0.15}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,2901){\makebox(0,0)[r]{\strut{}0.2}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,3488){\makebox(0,0)[r]{\strut{}0.25}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,4074){\makebox(0,0)[r]{\strut{}0.3}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(803,4661){\makebox(0,0)[r]{\strut{}0.35}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(935,334){\makebox(0,0){\strut{}0}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(1865,334){\makebox(0,0){\strut{}50}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(2795,334){\makebox(0,0){\strut{}100}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(3725,334){\makebox(0,0){\strut{}150}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(4655,334){\makebox(0,0){\strut{}200}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(5585,334){\makebox(0,0){\strut{}250}}%
-      \colorrgb{0.15,0.15,0.15}%%
-      \put(6515,334){\makebox(0,0){\strut{}300}}%
-    }%
-    \gplgaddtomacro\gplfronttext{%
-      \csname LTb\endcsname%%
-      \put(66,2607){\rotatebox{-270}{\makebox(0,0){\strut{}Temps d'exécution (s)}}}%
-      \put(3725,4){\makebox(0,0){\strut{}Taille des matrices}}%
-      \csname LTb\endcsname%%
-      \put(1922,4488){\makebox(0,0)[l]{\strut{}Echelonnage non réduit}}%
-      \csname LTb\endcsname%%
-      \put(1922,4268){\makebox(0,0)[l]{\strut{}Echelonnage réduit}}%
-      \csname LTb\endcsname%%
-      \put(1922,4048){\makebox(0,0)[l]{\strut{}Echelonnage non réduit normalisé}}%
-      \csname LTb\endcsname%%
-      \put(1922,3828){\makebox(0,0)[l]{\strut{}Echelonnage réduit normalisé}}%
-      \csname LTb\endcsname%%
-      \put(3725,4991){\makebox(0,0){/:Bold Echelonnage de matrices}}%
-    }%
-    \gplbacktext
-    \put(0,0){\includegraphics[width={360.00bp},height={252.00bp}]{plot}}%
-    \gplfronttext
-  \end{picture}%
-\endgroup

src/Gauss.cpp

@@ -16,10 +16,6 @@ static void SwapLines(Matrix& mat, std::size_t line1, std::size_t line2) {
 static void DivideLine(Matrix& mat, std::size_t line, Matrix::Element number) {
 	std::transform(std::execution::par_unseq, mat.GetLineIterator(line), mat.GetLineIterator(line + 1), mat.GetLineIterator(line),
 		[number](Matrix::Element e) { return e /= number; });
-
-	/*for (std::size_t i = 0; i < mat.GetColumnCount(); i++) {
-		mat.at(line, i) /= number;
-	}*/
 }
 
 static int FirstNotNullElementIndexOnColumn(Matrix& mat, std::size_t column, std::size_t startLine = 0) {
@@ -42,7 +38,7 @@ static void SimplifyLine(Matrix& mat, std::size_t line, std::size_t pivot_line,
 	});
 }
 
-static void GaussJordanReducedNorma(Matrix& a_Matrix) {
+static void GaussJordanReduced(Matrix& a_Matrix, bool a_Normalise) {
 	int indice_ligne_pivot = -1;
 
 	for (std::size_t j = 0; j < a_Matrix.GetColumnCount(); j++) {
@@ -60,7 +56,9 @@ static void GaussJordanReducedNorma(Matrix& a_Matrix) {
 
 		Matrix::Element pivot = a_Matrix.at(indice_ligne_pivot, j);
 
-		DivideLine(a_Matrix, indice_ligne_pivot, pivot);
+		if (a_Normalise) {
+			DivideLine(a_Matrix, indice_ligne_pivot, pivot);
+		}
 
 		auto range = std::views::iota(static_cast<std::size_t>(0), a_Matrix.GetRawCount());
 
@@ -73,7 +71,7 @@ static void GaussJordanReducedNorma(Matrix& a_Matrix) {
 	}
 }
 
-static void GaussJordanReduced(Matrix& a_Matrix) {
+static void GaussJordanTriangular(Matrix& a_Matrix, bool a_Normalise) {
 	int indice_ligne_pivot = -1;
 
 	for (std::size_t j = 0; j < a_Matrix.GetColumnCount(); j++) {
@@ -91,85 +89,25 @@ static void GaussJordanReduced(Matrix& a_Matrix) {
 
 		Matrix::Element pivot = a_Matrix.at(indice_ligne_pivot, j);
 
-		auto range = std::views::iota(static_cast<std::size_t>(0), a_Matrix.GetRawCount());
-
-		// On simplifie les autres lignes
-		std::for_each(std::execution::par_unseq, range.begin(), range.end(), [&a_Matrix, j, indice_ligne_pivot](std::size_t i) {
-			if (i != static_cast<std::size_t>(indice_ligne_pivot)) {
-				SimplifyLine(a_Matrix, i, indice_ligne_pivot, j);
-			}
-		});
-	}
-}
-
-static void GaussJordanTriangular(Matrix& a_Matrix) {
-	int indice_ligne_pivot = -1;
-
-	for (std::size_t j = 0; j < a_Matrix.GetColumnCount(); j++) {
-
-		int indice_ligne_pivot_trouve = FirstNotNullElementIndexOnColumn(a_Matrix, j, indice_ligne_pivot + 1);
-
-		if (indice_ligne_pivot_trouve < 0)	// colonne de 0
-			continue;						// on regarde la prochaine colonne
-
-		indice_ligne_pivot++;
-
-		if (indice_ligne_pivot_trouve != indice_ligne_pivot) {
-			SwapLines(a_Matrix, indice_ligne_pivot_trouve, indice_ligne_pivot);
+		if (a_Normalise) {
+			DivideLine(a_Matrix, indice_ligne_pivot, pivot);
 		}
 
-		Matrix::Element pivot = a_Matrix.at(indice_ligne_pivot, j);
-
 		auto range = std::views::iota(static_cast<std::size_t>(indice_ligne_pivot + 1), a_Matrix.GetRawCount());
 
 		// On simplifie les autres lignes après la ligne du pivot
 		std::for_each(std::execution::par_unseq, range.begin(), range.end(),
-			[&a_Matrix, indice_ligne_pivot, j](std::size_t i) { SimplifyLine(a_Matrix, i, indice_ligne_pivot, j); });
-	}
-}
-
-static void GaussJordanTriangularNorma(Matrix& a_Matrix) {
-	int indice_ligne_pivot = -1;
-
-	for (std::size_t j = 0; j < a_Matrix.GetColumnCount(); j++) {
-
-		int indice_ligne_pivot_trouve = FirstNotNullElementIndexOnColumn(a_Matrix, j, indice_ligne_pivot + 1);
-
-		if (indice_ligne_pivot_trouve < 0)	// colonne de 0
-			continue;						// on regarde la prochaine colonne
-
-		indice_ligne_pivot++;
-
-		if (indice_ligne_pivot_trouve != indice_ligne_pivot) {
-			SwapLines(a_Matrix, indice_ligne_pivot_trouve, indice_ligne_pivot);
-		}
-
-		Matrix::Element pivot = a_Matrix.at(indice_ligne_pivot, j);
-
-		DivideLine(a_Matrix, indice_ligne_pivot, pivot);
-
-		auto range = std::views::iota(static_cast<std::size_t>(indice_ligne_pivot + 1), a_Matrix.GetRawCount());
-
-		// On simplifie les autres lignes après la ligne du pivot
-		std::for_each(std::execution::par_unseq, range.begin(), range.end(),
-			[&a_Matrix, indice_ligne_pivot, j](std::size_t i) { SimplifyLine(a_Matrix, i, indice_ligne_pivot, j); });
+			[&a_Matrix, indice_ligne_pivot, j](std::size_t i) { 
+				SimplifyLine(a_Matrix, i, indice_ligne_pivot, j); 
+			});
 	}
 }
 
 void GaussJordan(Matrix& a_Matrix, bool a_Reduite, bool a_Normalise) {
-	if (a_Reduite) {
-		if (a_Normalise) {
-			GaussJordanReducedNorma(a_Matrix);
-		} else {
-			GaussJordanReduced(a_Matrix);
-		}
-	} else {
-		if (a_Normalise) {
-			GaussJordanTriangularNorma(a_Matrix);
-		} else {
-			GaussJordanTriangular(a_Matrix);
-		}
-	}
+	if (a_Reduite)
+		GaussJordanReduced(a_Matrix, a_Normalise);
+	else
+		GaussJordanTriangular(a_Matrix, a_Normalise);
 }
 
 }  // namespace Gauss

src/Vect.cpp

@@ -87,12 +87,4 @@ VectAffine::VectAffine(const Vect& a_Base, const Matrix& a_Origin) :
 
 bool VectAffine::IsElementOf(const Matrix& a_Vector) const {
 	return m_Base.IsElementOf(a_Vector - m_Origin);
-}
-
-Matrix VectAffine::GetLinearSystem() const {
-	Matrix result = m_Base.GetLinearSystem();
-
-	result.Augment(m_Origin.SubMatrix(0, 0, result.GetRawCount(), 1));
-
-	return result;
 }

src/gui/PivotGui.cpp

@@ -1,5 +1,6 @@
 #include "PivotGui.h"
 
+#include "Gauss.h"
 #include "Matrix.h"
 #include "Solver.h"
 #include <imgui.h>
@@ -55,9 +56,8 @@ void PivotGui::Render() {
 	static bool refresh = true;
 
 	// divisions des fenetres
-	ImVec2 topLeftWindowSize(io.DisplaySize.x * 0.5f, io.DisplaySize.y * 0.8f);
-	ImVec2 topRightWindowSize(io.DisplaySize.x * 0.5f, io.DisplaySize.y * 0.8f);
-	ImVec2 bottomWindowSize(io.DisplaySize.x, io.DisplaySize.y * 0.2f);
+	ImVec2 topLeftWindowSize(io.DisplaySize.x * 0.5f, io.DisplaySize.y);
+	ImVec2 topRightWindowSize(io.DisplaySize.x * 0.5f, io.DisplaySize.y);
 
 	// Begin fenetre top left
 	ImGui::SetNextWindowSize(topLeftWindowSize);
@@ -85,7 +85,7 @@ void PivotGui::Render() {
 
 	ImGui::NewLine();
 
-	ImGui::BeginChild("MatriceInitiale", ImVec2(topLeftWindowSize.x, io.DisplaySize.y * 0.7f), false);
+	// ImGui::BeginChild("MatriceInitiale", ImVec2(topLeftWindowSize.x, io.DisplaySize.y * 0.7f), false);
 
 	// Resize matrixValues and initialize new elements to 0
 
@@ -101,7 +101,7 @@ void PivotGui::Render() {
 			if (x > 0)
 				ImGui::SameLine();
 			ImGui::PushID(y * matrixSizeX + x);
-			ImGui::PushItemWidth(30);  // Adjust this value to change the cell size
+			ImGui::PushItemWidth(60);  // Adjust this value to change the cell size
 			if (ImGui::InputInt("", &matrixValues[y][x], 0, 0, ImGuiInputTextFlags_CharsDecimal))
 				refresh = true;
 			ImGui::PopItemWidth();
@@ -109,12 +109,30 @@ void PivotGui::Render() {
 		}
 	}
 
-	// Display the equationsResult strings in the GUI if they are not empty
-	if (!equationsResultImage.empty()) {
-		ImGui::TextWrapped(equationsResultImage.c_str());
-	}
+	// ImGui::EndChild();	// End Matrice initiale
 
-	ImGui::EndChild();	// End Matrice initiale
+	ImGui::NewLine();
+
+	ImGui::Text("Matrice échelonnée:");
+
+	// Convert the "result" string back to a matrix
+	Matrix resultMatrix = LoadMatrixFromStdVect(matrixValues);
+
+	// Apply the Gauss-Jordan elimination to the matrix
+	Gauss::GaussJordan(resultMatrix, true, true);  // Assuming you want to reduce and normalize the matrix
+
+	// Display the matrix
+	for (std::size_t i = 0; i < resultMatrix.GetRawCount(); i++) {
+		for (std::size_t j = 0; j < resultMatrix.GetColumnCount(); j++) {
+			ImGui::PushID(i * resultMatrix.GetColumnCount() + j);
+			if (ImGui::Button(ElementToString(resultMatrix.at(i, j)).c_str(), ImVec2(70, 70))) {  // Adjust the size as needed
+																								  // Handle button click here if needed
+			}
+			ImGui::PopID();
+			if (j < resultMatrix.GetColumnCount() - 1)
+				ImGui::SameLine();
+		}
+	}
 
 	ImGui::End();  // End fenetre top left
 
@@ -128,16 +146,6 @@ void PivotGui::Render() {
 
 	static std::string result = "";
 
-	ImGui::TextWrapped(result.c_str());
-
-	ImGui::End();  // End fenetre top right
-
-	// Begin fenetre bas
-	ImGui::SetNextWindowSize(bottomWindowSize);
-	ImGui::SetNextWindowPos(ImVec2(0, io.DisplaySize.y * 0.8f));  // Position at the bottom-left corner
-	ImGui::Begin("Bottom Part", nullptr,
-		ImGuiWindowFlags_NoResize | ImGuiWindowFlags_NoMove | ImGuiWindowFlags_NoTitleBar | ImGuiWindowFlags_NoScrollbar);
-
 	if (refresh) {
 
 		// Calculate the kernel and image
@@ -160,7 +168,15 @@ void PivotGui::Render() {
 	}
 
 	refresh = false;
-	ImGui::End();  // End fenetre bas
+
+	// Display the equationsResult strings in the GUI if they are not empty
+	if (!equationsResultImage.empty()) {
+		ImGui::TextWrapped("%s", equationsResultImage.c_str());
+	}
+
+	ImGui::TextWrapped("%s", result.c_str());
+
+	ImGui::End();  // End fenetre top right
 }
 
 void PivotGui::Destroy() {}

test/test_jordan.cpp

@@ -2,12 +2,6 @@
 #include "Matrix.h"
 #include "test_assert.h"
 
-#include <chrono>
-#include <iostream>
-
-static constexpr int MATRIX_MAX_SIZE = 300;
-static constexpr int EXECUTION_COUNT = 1;
-
 struct Test {
 	Matrix mat;
 	Matrix res;
@@ -36,22 +30,6 @@ static const std::vector<Test> TEST_MATRICES = {
     }}}
 };
 
-static unsigned int GetRandomInt() {
-	return rand() % MATRIX_MAX_SIZE + 1;
-}
-
-static Matrix GetRandomMatrix(std::size_t a_Raw, std::size_t a_Column) {
-	Matrix matrix {a_Raw, a_Column};
-
-	for (std::size_t i = 0; i < matrix.GetRawCount(); i++) {
-		for (std::size_t j = 0; j < matrix.GetColumnCount(); j++) {
-			matrix.at(i, j) = GetRandomInt();
-		}
-	}
-
-	return matrix;
-}
-
 void test() {
 	for (Test test : TEST_MATRICES) {
 		Gauss::GaussJordan(test.mat, true, true);
@@ -59,26 +37,7 @@ void test() {
 	}
 }
 
-void gaussTest() {
-    auto start = std::chrono::system_clock::now();
-
-	for (int i = 0; i < EXECUTION_COUNT; i++) {
-		Matrix mat = GetRandomMatrix(500, 500);
-		Gauss::GaussJordan(mat, false, false);
-	}
-
-	auto end = std::chrono::system_clock::now();
-	std::chrono::duration<double> elapsed_seconds = end - start;
-	std::cout << "\tgauss jordan elapsed time : " << elapsed_seconds.count() << "s" << std::endl;
-}
-
-void speedTest() {
-    gaussTest();
-   // gaussColumnTest();
-}
-
 int main(int argc, char** argv) {
 	test();
-	speedTest();
 	return 0;
 }

test/test_plot.cpp

@@ -1,109 +0,0 @@
-#include <algorithm>
-#include <chrono>
-#include <cmath>
-#include <execution>
-#include <future>
-#include <matplot/matplot.h>
-
-#include "Gauss.h"
-#include "Matrix.h"
-#include "Solver.h"
-
-static constexpr int EXECUTION_COUNT = 100;
-static constexpr int MATRIX_MAX_SIZE = 300;
-
-static unsigned int GetRandomInt() {
-	return rand() % MATRIX_MAX_SIZE + 1;
-}
-
-static Matrix GetRandomMatrix(std::size_t a_Raw, std::size_t a_Column) {
-	Matrix matrix {a_Raw, a_Column};
-
-	for (std::size_t i = 0; i < matrix.GetRawCount(); i++) {
-		for (std::size_t j = 0; j < matrix.GetColumnCount(); j++) {
-			matrix.at(i, j) = GetRandomInt();
-		}
-	}
-
-	return matrix;
-}
-
-std::vector<double> GaussJordan(const std::vector<double>& x) {
-	std::vector<double> y;
-
-	std::for_each(x.begin(), x.end(), [&y](double size) {
-		auto start = std::chrono::system_clock::now();
-
-		for (int j = 0; j < EXECUTION_COUNT; j++) {
-			Matrix mat = GetRandomMatrix(size, size);
-			Gauss::GaussJordan(mat, false, false);
-		}
-
-		auto end = std::chrono::system_clock::now();
-		std::chrono::duration<double> elapsed_seconds = end - start;
-		std::cout << "S " << size << "\n";
-		y.push_back(elapsed_seconds.count() / static_cast<double>(EXECUTION_COUNT));
-	});
-
-	return y;
-}
-
-
-std::vector<double> GaussJordanReduite(const std::vector<double>& x) {
-	std::vector<double> y;
-
-	std::for_each(x.begin(), x.end(), [&y](double size) {
-		auto start = std::chrono::system_clock::now();
-
-		for (int j = 0; j < EXECUTION_COUNT; j++) {
-			Matrix mat = GetRandomMatrix(size, size);
-			Gauss::GaussJordan(mat, true, false);
-		}
-
-		auto end = std::chrono::system_clock::now();
-		std::chrono::duration<double> elapsed_seconds = end - start;
-		std::cout << "R " << size << "\n";
-		y.push_back(elapsed_seconds.count() / static_cast<double>(EXECUTION_COUNT));
-	});
-
-	return y;
-}
-
-int main() {
-	srand(time(0));
-
-	int start = 1;
-
-	std::vector<double> x = matplot::linspace(start, MATRIX_MAX_SIZE, MATRIX_MAX_SIZE - start + 1);
-	//std::vector<double> x = {5000};
-	std::vector<double> y, y1, y2, y3;
-
-	// y2.resize(x.size());
-
-	{
-		auto result1 = std::async(std::launch::async, &GaussJordan, x);
-		auto result2 = std::async(std::launch::async, &GaussJordanReduite, x);
-		y = result1.get();
-		y1 = result2.get();
-	}
-
-
-	std::cout << "Fini !\n";
-
-
-	// std::transform(x.begin(), x.end(), y2.begin(), [](double x) { return 1.0 / (100.0 * 100.0) * 0.6 * x * x; });
-
-	matplot::title("Echelonnage de matrices");
-	matplot::xlabel("Taille des matrices");
-	matplot::ylabel("Temps d'exécution (s)");
-
-	matplot::hold(matplot::on);
-	matplot::plot(x, y);
-	matplot::plot(x, y1);
-
-	auto l = matplot::legend({"Echelonnage non réduit", "Echelonnage réduit", "Echelonnage non réduit normalisé", "Echelonnage réduit normalisé"});
-	l->location(matplot::legend::general_alignment::topleft);
-
-	matplot::show();
-	return 0;
-}

test/test_random_kernel.cpp

@@ -16,16 +16,6 @@ static int GetRandomInt() {
 	return rand() % 11 - 5;
 }
 
-#define print_time(i)                                                                                                                 \
-	end = std::chrono::system_clock::now();                                                                                           \
-	elapsed_seconds = end - start;                                                                                                    \
-	std::cout << "elapsed time " << i << " : " << elapsed_seconds.count() << "s" << std::endl;                                        \
-	start = std::chrono::system_clock::now()
-
-static unsigned int GetRandomSize() {
-	return rand() % MATRIX_MAX_SIZE + 1;
-}
-
 static Matrix GetRandomMatrix(std::size_t a_Raw, std::size_t a_Column) {
 	Matrix matrix {a_Raw, a_Column};
 
@@ -39,57 +29,34 @@ static Matrix GetRandomMatrix(std::size_t a_Raw, std::size_t a_Column) {
 }
 
 static bool Test() {
-	auto start = std::chrono::system_clock::now();
-	auto begin = start;
-	auto end = start;
-	std::chrono::duration<double> elapsed_seconds = end - start;
+	Matrix matrix = GetRandomMatrix(rand() % MATRIX_MAX_SIZE + 1, rand() % MATRIX_MAX_SIZE + 1);
 
-	std::cout << "Begin\n";
-
-	Matrix matrix = GetRandomMatrix(GetRandomSize(), GetRandomSize());
-
-	print_time(1);
+	for (std::size_t i = 0; i < matrix.GetRawCount(); i++) {
+		for (std::size_t j = 0; j < matrix.GetColumnCount(); j++) {
+			matrix.at(i, j) = GetRandomInt();
+		}
+	}
 
 	Matrix copy = matrix;
 
 	Vect kernel = solver.Kernel(std::move(copy));
 
-	print_time(2);
-
 	Matrix nullVector {matrix.GetRawCount(), 1};
 	nullVector.Fill(0.0);
 
 	for (std::size_t i = 0; i < kernel.GetCardinal(); i++) {
-		Matrix result = matrix * kernel.GetVector(i);
-		if(!(result == nullVector)) {
-			test_assert(false);
-		}
+		test_assert(matrix * kernel.GetVector(i) == nullVector);
 	}
 
-	print_time(3);
-
 	for (std::size_t i = 0; i < KERNEL_CHECKS; i++) {
 		Matrix vector = GetRandomMatrix(kernel.GetDimension(), 1);
 
 		test_assert(kernel.IsElementOf(vector) == (matrix * vector == nullVector));
 	}
 
-	print_time(4);
-
-	Matrix linearSystem = kernel.GetLinearSystem();
-
-	print_time(5);
-
-	Vect kernel2 = solver.Kernel(std::move(linearSystem));
+	Vect kernel2 = solver.Kernel(kernel.GetLinearSystem());
 
 	test_assert(kernel == kernel2);
-
-	print_time(6);
-
-	elapsed_seconds = end - begin;
-	std::cout << "final elapsed time: " << elapsed_seconds.count() << "s" << std::endl;
-
-	std::cout << "End\n";
 	return true;
 }
 
@@ -102,7 +69,6 @@ int main() {
 	for (int i = 0; i < EXECUTION_COUNT; i++) {
 		auto handle = std::async(std::launch::async, &Test);
 		results.push_back(std::move(handle));
-		// Test();
 	}
 
 	for (auto& result : results) {

test/test_vect.cpp

@@ -1,6 +1,27 @@
 #include "Vect.h"
 #include "test_assert.h"
 
+#include <algorithm>
+
+const static int EXECUTION_COUNT = 100000;
+static constexpr int MATRIX_MAX_SIZE = 7;
+
+static int GetRandomSize() {
+	return rand() % MATRIX_MAX_SIZE + 1;
+}
+
+static int GetRandomInt() {
+	return GetRandomSize();
+}
+
+static Matrix GetRandomMatrix(std::size_t a_Raw, std::size_t a_Column) {
+	Matrix matrix {a_Raw, a_Column};
+
+	std::generate(matrix.GetLineIterator(0), matrix.GetLineIterator(a_Raw), []() { return GetRandomInt(); });
+
+	return matrix;
+}
+
 void TestVect() {
 	Vect vect1 {{3, 2, {
 		1, 2,
@@ -41,8 +62,23 @@ void TestVectAffine() {
 	test_assert(!aff.IsElementOf(Matrix::ColumnVector({1, 2, 3})));
 }
 
+void TestLinearSystem() {
+	for (std::size_t i = 0; i < EXECUTION_COUNT; i++) {
+		Vect vect = GetRandomMatrix(GetRandomSize(), GetRandomSize());
+
+		Matrix systeme = vect.GetLinearSystem();
+
+		for (std::size_t j = 0; j < vect.GetCardinal(); j++) {
+			Matrix nullMatrix {systeme.GetColumnCount(), 1};
+			test_assert(systeme * vect.GetVector(j) == nullMatrix);
+		}
+	}
+}
+
 int main() {
+	srand(time(0));
 	TestVect();
 	TestVectAffine();
+	TestLinearSystem();
 	return 0;
 }

xmake.lua

@@ -1,20 +1,15 @@
 add_rules("mode.debug", "mode.release")
 
-add_requires("libsdl 2.28.3", {configs = {sdlmain = false}})
 add_requires("imgui", {configs = {sdl2_no_renderer = true, opengl3 = true}})
 
 set_languages("c++20")
 set_warnings("all")
 add_includedirs("include")
 
-add_requires("matplotplusplus")
-
 -- Solver Library
 target("Pivot")
     set_kind("static")
     add_files("src/*.cpp")
-    add_cxxflags("-ffast-math")
-    set_optimize("fastest")
     remove_files("src/main.cpp")
 
 
@@ -53,7 +48,6 @@ for _, file in ipairs(os.files("test/test_*.cpp")) do
         set_default(false)
 
         add_deps("Pivot")
-        add_packages("matplotplusplus")
 
         add_tests("compile_and_run")
 end