add project license

LICENSE.txt

@@ -0,0 +1,21 @@
+MIT License
+
+Copyright (c) 2024 Simon Pribylski, Thibaut Alessi, Houssem Zammali, Julien Chataigner
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.

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();
 	};

src/Vect.cpp

@@ -88,11 +88,3 @@ 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>
@@ -7,6 +8,38 @@
 
 static std::string equationsResultImage;
 
+struct GuiMatrix {
+	std::vector<std::vector<int>> matrixValues;
+	int matrixSizeX = 4;
+	int matrixSizeY = 4;
+};
+
+static void ResizeGuiMatrix(bool refresh, GuiMatrix& guiMatrix) {
+	if (refresh) {
+		guiMatrix.matrixValues.resize(guiMatrix.matrixSizeY);
+		for (auto& row : guiMatrix.matrixValues) {
+			row.resize(guiMatrix.matrixSizeX, 0);
+		}
+	}
+}
+
+static void RenderMatrix(bool& refresh, GuiMatrix& guiMatrix) {
+	ResizeGuiMatrix(refresh, guiMatrix);
+
+	for (int y = 0; y < guiMatrix.matrixSizeY; y++) {
+		for (int x = 0; x < guiMatrix.matrixSizeX; x++) {
+			if (x > 0)
+				ImGui::SameLine();
+			ImGui::PushID((guiMatrix.matrixSizeX * 20 + guiMatrix.matrixSizeY * 50) + y * guiMatrix.matrixSizeX + x);
+			ImGui::PushItemWidth(60);  // Adjust this value to change the cell size
+			if (ImGui::InputInt("", &guiMatrix.matrixValues[y][x], 0, 0, ImGuiInputTextFlags_CharsDecimal))
+				refresh = true;
+			ImGui::PopItemWidth();
+			ImGui::PopID();
+		}
+	}
+}
+
 static Matrix LoadMatrixFromStdVect(const std::vector<std::vector<int>>& data) {
 	Matrix result {data.size(), data.empty() ? 0 : data[0].size()};
 	for (std::size_t i = 0; i < result.GetRawCount(); i++) {
@@ -23,6 +56,19 @@ static std::string ElementToString(Matrix::Element e) {
 	return ss.str();
 }
 
+static std::string PrintRawMatrix(const Matrix& mat) {
+	if (mat.GetRawCount() == 0)
+		return "";
+
+	std::string result = " ( ";
+	for (std::size_t j = 0; j < mat.GetRawCount(); j++) {
+		result += ElementToString(mat.at(j, 0)) + ", ";
+	}
+	result = result.substr(0, result.size() - 2);
+	result += " )";
+	return result;
+}
+
 static std::string PrintVect(const Vect& vect) {
 	if (vect.GetCardinal() == 0)
 		return "{0}";
@@ -30,12 +76,8 @@ static std::string PrintVect(const Vect& vect) {
 	std::string result = "Vect( ";
 	for (std::size_t i = 0; i < vect.GetCardinal(); i++) {
 		Matrix vector = vect.GetVector(i);
-		result += " (";
+		result += PrintRawMatrix(vector);
-		for (std::size_t j = 0; j < vect.GetDimension(); j++) {
+		result += ", ";
-			result += ElementToString(vector.at(j, 0)) + ", ";
-		}
-		result = result.substr(0, result.size() - 2);
-		result += " ), ";
 	}
 	result = result.substr(0, result.size() - 2);
 	result += "  )";
@@ -44,104 +86,161 @@ static std::string PrintVect(const Vect& vect) {
 
 void PivotGui::Init() {}
 
-void PivotGui::Render() {
+static void RenderLeftSystemChild(bool& refresh, GuiMatrix& system, GuiMatrix& origin) {
-	ImGuiIO& io = ImGui::GetIO();
+	ImVec2 topLeftWindowSize(ImGui::GetContentRegionAvail().x * 0.5f, 0);
+
+	ImGui::BeginChild("Left Child", topLeftWindowSize, ImGuiChildFlags_Border);
+
+	ImGui::Text("Système de la forme AX=B");
+	ImGui::Separator();
+	ImGui::Text("Taille matrice A :");
+
+	if (ImGui::InputInt("##RowsMatriceInitiale", &system.matrixSizeY))
+		refresh = true;
+	system.matrixSizeY = std::max(1, system.matrixSizeY);
+	ImGui::SameLine();
+	ImGui::Text("Lignes");
+
+
+	if (ImGui::InputInt("##ColumnsMatriceInitiale", &system.matrixSizeX))
+		refresh = true;
+	system.matrixSizeX = std::max(1, system.matrixSizeX);
+	ImGui::SameLine();
+	ImGui::Text("Colonnes");
+
+	ImGui::NewLine();
+
+	RenderMatrix(refresh, system);
+
+	if (refresh) {
+		origin.matrixSizeX = 1;
+		origin.matrixSizeY = system.matrixSizeY;
+	}
+
+	ImGui::NewLine();
+	ImGui::Separator();
+	ImGui::Text("Matrice B :");
+	ImGui::NewLine();
+
+	RenderMatrix(refresh, origin);
+
+	ImGui::EndChild();
+}
+
+static void RenderRightSystemChild(bool& refresh, GuiMatrix& system, GuiMatrix& origin) {
+	ImGui::BeginChild("Right Child", {0, 0}, ImGuiChildFlags_Border);
+
+	static std::string result = "";
 
-	static std::vector<std::vector<int>> matrixValues;
-	static int matrixSizeX = 4;
-	static int matrixSizeY = 4;
 	static Solver solver;
 
+	if (refresh) {
+		VectAffine solutions =
+			solver.RectangularSystem(LoadMatrixFromStdVect(system.matrixValues), LoadMatrixFromStdVect(origin.matrixValues));
+
+		result = "Solutions :\n";
+		result += PrintVect(solutions.GetBase());
+		result += "\n\n+\n\n";
+		result += PrintRawMatrix(solutions.GetOrigin());
+	}
+
+	ImGui::TextWrapped("%s", result.c_str());
+
+	ImGui::EndChild();
+}
+
+static void RenderSystemTab() {
+	static GuiMatrix guiMatrix, originMatrix;
 	static bool refresh = true;
 
+	RenderLeftSystemChild(refresh, guiMatrix, originMatrix);
+	ImGui::SameLine();
+	RenderRightSystemChild(refresh, guiMatrix, originMatrix);
+}
+
+static void RenderLeftGaussChild(bool& refresh, GuiMatrix& guiMatrix) {
 	// divisions des fenetres
-	ImVec2 topLeftWindowSize(io.DisplaySize.x * 0.5f, io.DisplaySize.y * 0.8f);
+	ImVec2 topLeftWindowSize(ImGui::GetContentRegionAvail().x * 0.5f, 0);
-	ImVec2 topRightWindowSize(io.DisplaySize.x * 0.5f, io.DisplaySize.y * 0.8f);
-	ImVec2 bottomWindowSize(io.DisplaySize.x, io.DisplaySize.y * 0.2f);
 
 	// Begin fenetre top left
-	ImGui::SetNextWindowSize(topLeftWindowSize);
+	// ImGui::SetNextWindowPos(ImVec2(0, 0));	// Position at the top-left corner
-	ImGui::SetNextWindowPos(ImVec2(0, 0));	// Position at the top-left corner
+	ImGui::BeginChild("Left Top Window", topLeftWindowSize, ImGuiChildFlags_Border);
-	ImGui::Begin("Left Top Window", nullptr,
+	/*ImGui::Begin(, nullptr,
 		ImGuiWindowFlags_NoResize | ImGuiWindowFlags_NoMove | ImGuiWindowFlags_NoTitleBar | ImGuiWindowFlags_NoScrollbar);
+*/
+	// ImGui::BeginTabBar("MainMenu");
 
 	// Get window position
 	ImVec2 windowPos = ImGui::GetWindowPos();
 
 	ImGui::Text("Matrice initiale:");
 
-	if (ImGui::InputInt("##RowsMatriceInitiale", &matrixSizeY))
+	if (ImGui::InputInt("##RowsMatriceInitiale", &guiMatrix.matrixSizeY))
 		refresh = true;
-	matrixSizeY = std::max(1, matrixSizeY);
+	guiMatrix.matrixSizeY = std::max(1, guiMatrix.matrixSizeY);
 	ImGui::SameLine();
 	ImGui::Text("Lignes");
 
 
-	if (ImGui::InputInt("##ColumnsMatriceInitiale", &matrixSizeX))
+	if (ImGui::InputInt("##ColumnsMatriceInitiale", &guiMatrix.matrixSizeX))
 		refresh = true;
-	matrixSizeX = std::max(1, matrixSizeX);
+	guiMatrix.matrixSizeX = std::max(1, guiMatrix.matrixSizeX);
 	ImGui::SameLine();
 	ImGui::Text("Colonnes");
 
 	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
 
-	if (refresh) {
+	RenderMatrix(refresh, guiMatrix);
-		matrixValues.resize(matrixSizeY);
-		for (auto& row : matrixValues) {
-			row.resize(matrixSizeX, 0);
-		}
-	}
 
-	for (int y = 0; y < matrixSizeY; y++) {
+	// ImGui::EndChild();	// End Matrice initiale
-		for (int x = 0; x < matrixSizeX; x++) {
+
-			if (x > 0)
+	ImGui::NewLine();
-				ImGui::SameLine();
+
-			ImGui::PushID(y * matrixSizeX + x);
+	ImGui::Text("Matrice échelonnée:");
-			ImGui::PushItemWidth(30);  // Adjust this value to change the cell size
+
-			if (ImGui::InputInt("", &matrixValues[y][x], 0, 0, ImGuiInputTextFlags_CharsDecimal))
+	// Convert the "result" string back to a matrix
-				refresh = true;
+	Matrix resultMatrix = LoadMatrixFromStdVect(guiMatrix.matrixValues);
-			ImGui::PopItemWidth();
+
+	// 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();
 		}
 	}
 
-	// Display the equationsResult strings in the GUI if they are not empty
+	ImGui::EndChild();
-	if (!equationsResultImage.empty()) {
+}
-		ImGui::TextWrapped(equationsResultImage.c_str());
-	}
-
-	ImGui::EndChild();	// End Matrice initiale
-
-	ImGui::End();  // End fenetre top left
 
+static void RenderRightGaussChild(bool& refresh, GuiMatrix& guiMatrix) {
+	static Solver solver;
 	// Begin fenetre top right
-	ImGui::SetNextWindowSize(topRightWindowSize);
+	// ImGui::SetNextWindowSize(topRightWindowSize);
-	ImGui::SetNextWindowPos(ImVec2(windowPos.x + topLeftWindowSize.x, 0));	// Position at the top-right corner
+	// ImGui::SetNextWindowPos(ImVec2(windowPos.x + topLeftWindowSize.x, 0));	// Position at the top-right corner
-	ImGui::Begin("Right Top Window", nullptr,
+	ImGui::BeginChild("Right Top Window", {0, 0}, ImGuiChildFlags_Border);
-		ImGuiWindowFlags_NoResize | ImGuiWindowFlags_NoMove | ImGuiWindowFlags_NoTitleBar | ImGuiWindowFlags_NoScrollbar);
+	// ImGui::Begin("Right Top Window", nullptr,
+	//	ImGuiWindowFlags_NoResize | ImGuiWindowFlags_NoMove | ImGuiWindowFlags_NoTitleBar | ImGuiWindowFlags_NoScrollbar);
 
 	// rajouter le code pour la partie top right
 
 	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
-		Vect image = solver.Image(LoadMatrixFromStdVect(matrixValues));
+		Vect image = solver.Image(LoadMatrixFromStdVect(guiMatrix.matrixValues));
 		Matrix linearSystem = image.GetLinearSystem();
 
 		// Store the equationsResult strings in the global variable
@@ -154,13 +253,59 @@ void PivotGui::Render() {
 			equationsResultImage = equationsResultImage.substr(0, equationsResultImage.size() - 3) + " = 0\n";
 		}
 
-		result = std::string("Noyau: ") + "\n" + PrintVect(solver.Kernel(LoadMatrixFromStdVect(matrixValues))) + "\n" + "\n" +
+		result = "\nNoyau: \n" + PrintVect(solver.Kernel(LoadMatrixFromStdVect(guiMatrix.matrixValues))) + "\n" +
-				 "Rang: " + "\n" + std::to_string(solver.Rank(LoadMatrixFromStdVect(matrixValues))) + "\n" + "\n" + "Image: " + "\n" +
+				 "\n" + "Rang: " + "\n" + std::to_string(solver.Rank(LoadMatrixFromStdVect(guiMatrix.matrixValues))) + "\n" + "\n" +
-				 PrintVect(image);
+				 "Image: " + "\n" + PrintVect(image);
 	}
 
 	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::EndChild();	// End fenetre top right
+}
+
+static void RenderGaussTab() {
+	static GuiMatrix guiMatrix;
+	static bool refresh = true;
+
+	RenderLeftGaussChild(refresh, guiMatrix);
+	ImGui::SameLine();
+	RenderRightGaussChild(refresh, guiMatrix);
+}
+
+static void RenderMainWindow() {
+	ImGuiIO& io = ImGui::GetIO();
+
+	ImGui::SetNextWindowSize(io.DisplaySize);
+	ImGui::SetNextWindowPos({0, 0});
+	ImGui::Begin("MainWindow", nullptr,
+		ImGuiWindowFlags_NoResize | ImGuiWindowFlags_NoMove | ImGuiWindowFlags_NoTitleBar | ImGuiWindowFlags_NoScrollbar);
+	ImGui::BeginTabBar("MainBar");
+	if (ImGui::BeginTabItem("Noyau et Image")) {
+		RenderGaussTab();
+		ImGui::EndTabItem();
+	}
+	if (ImGui::BeginTabItem("Systèmes")) {
+		RenderSystemTab();
+		ImGui::EndTabItem();
+	}
+	ImGui::EndTabBar();
+	ImGui::End();
+}
+
+void PivotGui::Render() {
+
+	RenderMainWindow();
+
+#ifndef NDEBUG
+	ImGui::ShowDemoWindow(nullptr);
+#endif
 }
 
 void PivotGui::Destroy() {}

test/test_solver.cpp

@@ -10,7 +10,7 @@
 namespace fs = std::filesystem;
 
 const static int EXECUTION_COUNT = 10000;
-static constexpr int MATRIX_MAX_SIZE = 7;
+static constexpr int MATRIX_MAX_SIZE = 5;
 
 static int GetRandomSize() {
 	return rand() % MATRIX_MAX_SIZE + 1;

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 = 5;
+
+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

@@ -1,12 +1,19 @@
+set_project("Pivot")
+set_description("Solutionneur de matrice par le pivot de Gauss")
+set_license("MIT")
+
+set_xmakever("2.8.5")
+
+
 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")
 
+
 -- Solver Library
 target("Pivot")
     set_kind("static")