From a1d74ec126a4441f00720af3faa8c379ff2400a9 Mon Sep 17 00:00:00 2001
From: Persson-dev <sim16.prib@gmail.com>
Date: Wed, 14 Feb 2024 22:22:59 +0100
Subject: [PATCH] vectorial space to linear equation

---
 src/Matrix.cpp |  4 ++--
 src/Vect.cpp   | 12 ++++++++++++
 src/Vect.h     |  2 ++
 src/main.cpp   | 11 +++++++++--
 4 files changed, 25 insertions(+), 4 deletions(-)

diff --git a/src/Matrix.cpp b/src/Matrix.cpp
index a30e09b..465bc55 100644
--- a/src/Matrix.cpp
+++ b/src/Matrix.cpp
@@ -1,11 +1,11 @@
+#include "Matrix.h"
+
 #include <algorithm>
 #include <cassert>
 #include <cmath>
 #include <fstream>
 #include <iostream>
 
-#include "Matrix.h"
-
 Matrix::Matrix(const std::string& fileNameInput) {
 	Load(fileNameInput);
 }
diff --git a/src/Vect.cpp b/src/Vect.cpp
index 1dad13f..5930737 100644
--- a/src/Vect.cpp
+++ b/src/Vect.cpp
@@ -1,4 +1,6 @@
 #include "Vect.h"
+
+#include "Solver.h"
 #include <iostream>
 
 Vect::Vect(const Matrix& mat) : m_Data(mat) {
@@ -21,6 +23,16 @@ void Vect::Simplify() {
 	m_Data = mat;
 }
 
+Matrix Vect::GetLinearSystem() const {
+	Matrix vect = m_Data;
+	vect.Transpose();
+
+	Solver solver {vect};
+	vect = solver.Noyau().m_Data;
+	vect.Transpose();
+	return vect;
+}
+
 void Vect::Print() const {
 	std::cout << "Espace vectoriel de dimension " << GetDimension() << " de base :\n\n";
 	for (std::size_t i = 0; i < m_Data.GetRawCount(); i++) {
diff --git a/src/Vect.h b/src/Vect.h
index a99c3ba..5f89f02 100644
--- a/src/Vect.h
+++ b/src/Vect.h
@@ -22,6 +22,8 @@ class Vect {
 
 	std::size_t GetDimension() const;
 
+	Matrix GetLinearSystem() const;
+
   private:
 	void Simplify();
 };
\ No newline at end of file
diff --git a/src/main.cpp b/src/main.cpp
index 30091d6..39d5061 100644
--- a/src/main.cpp
+++ b/src/main.cpp
@@ -21,10 +21,17 @@ void test() {
 
 	Solver solver{mat2};
 
+	Vect image = solver.Image();
+	Vect noyau = solver.Noyau();
+
 	std::cout << "\tImage :\n";
-	solver.Image().Print();
+	image.Print();
+	std::cout << "Système :\n";
+	image.GetLinearSystem().Print();
 	std::cout << "\tNoyau :\n";
-	solver.Noyau().Print();
+	noyau.Print();
+	std::cout << "Système :\n";
+	noyau.GetLinearSystem().Print();
 }
 
 void prompt() {