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2749b9dc0b
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detached2
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153bcfd017 | ||
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0ed96c9238 |
@@ -0,0 +1,11 @@
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cmake_minimum_required(VERSION 3.29)
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project(SimplexTASK)
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set(CMAKE_CXX_STANDARD 20)
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add_executable(SimplexTASK main.cpp
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simplex.cpp
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tools/matrix.cpp
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tools/math.cpp
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tools/elimination.cpp
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)
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@@ -0,0 +1,35 @@
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GXX := g++ -std=c++20
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flags := -Wall -fsanitize=address
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TOOLS := tools
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BUILD := build
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build:
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mkdir $(BUILD)
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$(GXX) -c $(flags) $(TOOLS)/elimination.cpp -o $(BUILD)/elimination.obj
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$(GXX) -c $(flags) $(TOOLS)/math.cpp -o $(BUILD)/math.obj
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$(GXX) -c $(flags) $(TOOLS)/matrix.cpp -o $(BUILD)/matrix.obj
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$(GXX) -c $(flags) simplex.cpp -o $(BUILD)/simplex.obj
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$(GXX) -c $(flags) main.cpp -o $(BUILD)/main.obj
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$(GXX) $(BUILD)/*.obj $(flags) -o simplex.out
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$(BUILD)/elimination.obj: $(TOOLS)/elimination.cpp
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$(GXX) -c $(flags) $(TOOLS)/elimination.cpp -o $(BUILD)/elimination.obj
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$(BUILD)/math.obj: $(TOOLS)/math.cpp
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$(GXX) -c $(flags) $(TOOLS)/math.cpp -o $(BUILD)/math.obj
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$(BUILD)/matrix.obj: $(TOOLS)/matrix.cpp
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$(GXX) -c $(flags) $(TOOLS)/matrix.cpp -o $(BUILD)/matrix.obj
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$(BUILD)/simplex.obj: simplex.cpp
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$(GXX) -c $(flags) simplex.cpp -o $(BUILD)/simplex.obj
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$(BUILD)/main.obj: main.cpp
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$(GXX) -c $(flags) main.cpp -o $(BUILD)/main.obj
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$(BUILD)/simplex.out: $(BUILD)/elimination.obj $(BUILD)/math.obj $(BUILD)/matrix.obj $(BUILD)/simplex.obj $(BUILD)/main.obj
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$(GXX) $(BUILD)/*.obj $(flags) -o simplex.out
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clean:
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rm -rf $(BUILD)
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@@ -3,10 +3,27 @@
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#include "tools/math.h"
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#include "simplex.h"
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void manualInput() {
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int ZLength;
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std::cout << "Write how many x's the objective function has:" << std::endl;
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std::cin >> ZLength;
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Vector Z = {};
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}
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void printInitialInputs(Vector C, Matrix A, Vector b) {
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}
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int main() {
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// TODO: Initially should be positive
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std::string doManual = "";
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std::cout << "Enable manual input? (y/n)" << std::endl;
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std::cin >> doManual ;
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if (doManual == "y" or doManual == "Y") {
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manualInput();
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} else if (doManual == "n"){
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Vector C = {-5, -4, 0, 0, 0, 0};
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}
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Vector C = {5, 4, 0, 0, 0, 0};
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Matrix A = {
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{6, 4, 1, 0, 0, 0},
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@@ -22,7 +39,7 @@ int main() {
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//showMatrix(test);
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Result result = Simplex(C, A, b);
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Result result = Simplex(C, A, b, 0.1, true);
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if(result.state == bounded) {
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if(result.solution == nullptr) {
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@@ -37,3 +54,5 @@ int main() {
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return 0;
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}
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+77
-4
@@ -18,7 +18,7 @@ struct Result {
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Result Simplex(Vector C, Matrix A, Vector b, double eps = 0.01, bool maximize=true) {
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if (maximize == false) {
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if (maximize == true) {
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for (int i = 0; i < C.size(); i++) {
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C[i] = -C[i];
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}
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@@ -33,14 +33,19 @@ Result Simplex(Vector C, Matrix A, Vector b, double eps = 0.01, bool maximize=tr
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for (size_t i = 1; i < basicVars.size(); i++) {
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basicVars[i] = static_cast<int>(basicVars.size()) + i;
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}
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int iterationCount = 0;
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while (true) {
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//3
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iterationCount++;
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std::cout << "Iteration: ";
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std::cout << iterationCount << std::endl;
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int pivot_column_index = 0;
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if (maximize) {
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pivot_column_index = min_index(generalMatrix[0]);
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if (generalMatrix[0][pivot_column_index] >= 0) {
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DestroyMatrix destroyedGeneralMatrix = destroyGeneralMatrix(generalMatrix);
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DestroyMatrix destroyedGeneralMatrix = disassembleGeneralMatrix(generalMatrix);
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Matrix _A = destroyedGeneralMatrix.A;
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Vector _C = destroyedGeneralMatrix.C;
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Vector _b = destroyedGeneralMatrix.b;
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@@ -55,9 +60,35 @@ Result Simplex(Vector C, Matrix A, Vector b, double eps = 0.01, bool maximize=tr
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result.solution->operator[](basicVars[i]) = _b[i];
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}
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}
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result.objective_function_value = b[0];
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result.objective_function_value = _C[_C.size()];
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return result;
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}
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}
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if (maximize == false) {
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pivot_column_index = max_index(generalMatrix[0]);
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if (generalMatrix[0][pivot_column_index] < 0) {
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DestroyMatrix destroyedGeneralMatrix = disassembleGeneralMatrix(generalMatrix);
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Matrix _A = destroyedGeneralMatrix.A;
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Vector _C = destroyedGeneralMatrix.C;
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Vector _b = destroyedGeneralMatrix.b;
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result.state = bounded;
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result.solution = new Vector(C.size());
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for (int i = 0; i < C.size(); i++) {
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result.solution->operator[](i) = 0;
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}
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for (size_t i = 1; i < basicVars.size(); i++) {
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if (basicVars[i] <= C.size()) {
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result.solution->operator[](basicVars[i]) = _b[i];
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}
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}
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result.objective_function_value = _C[_C.size()];
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return result;
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}
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}
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//4
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Vector ratio_vector(generalMatrix.getRows());
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@@ -78,6 +109,48 @@ Result Simplex(Vector C, Matrix A, Vector b, double eps = 0.01, bool maximize=tr
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elimination(generalMatrix, pivot_row_index, pivot_column_index);
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std::cout << "After:" << std::endl;
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showMatrix(generalMatrix);
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if (maximize) {
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bool thereIsNegative = false;
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for (int j = 0; j < generalMatrix.getColumns()-1; ++j) {
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if (generalMatrix[0][j] < 0) {
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thereIsNegative = true;
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}
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}
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if (thereIsNegative) {
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for (int j = 0; j < generalMatrix.getColumns()-1; ++j) {
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if (generalMatrix[0][j] > 0) {
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if (generalMatrix[0][j] < (eps * (-1))) {
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showMatrix(generalMatrix);
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std::cout << generalMatrix[0][j] << std::endl;
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return result;
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}
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}
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}
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}
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}
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if (maximize == false) {
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bool thereIsPositive = false;
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for (int j = 0; j < generalMatrix.getColumns()-1; ++j) {
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if (generalMatrix[0][j] > 0) {
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thereIsPositive = true;
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}
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}
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if (thereIsPositive) {
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for (int j = 0; j < generalMatrix.getColumns()-1; ++j) {
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if (generalMatrix[0][j] > 0) {
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if (generalMatrix[0][j] < eps) {
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showMatrix(generalMatrix);
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std::cout << generalMatrix[0][j] << std::endl;
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return result;
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}
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}
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}
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}
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}
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}
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return result;
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@@ -12,7 +12,7 @@ FracturedMatrix& FracturedMatrix::operator=(const FracturedMatrix& other) {
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return *this;
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}
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DestroyMatrix destroyGeneralMatrix(Matrix& generalMatrix) {
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DestroyMatrix disassembleGeneralMatrix(Matrix& generalMatrix) {
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int rows = generalMatrix.getRows();
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int cols = generalMatrix.getColumns();
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+1
-1
@@ -22,7 +22,7 @@ struct DestroyMatrix {
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Vector b;
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};
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DestroyMatrix destroyGeneralMatrix(Matrix& generalMatrix);
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DestroyMatrix disassembleGeneralMatrix(Matrix& generalMatrix);
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void elimination(Matrix&, int pivot_row_index, int pivot_column_index);
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Matrix createGeneralMatrix(Matrix& A, Vector& C, Vector& b);
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+3
-1
@@ -9,7 +9,8 @@ void showMatrix(Matrix matrix) {
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}
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}
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}
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std::cout << maxNumberLength << std::endl;
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//std::cout << maxNumberLength << std::endl;
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std::cout << std::endl;
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for (size_t y = 0; y < matrix.getRows(); y++) {
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std::string row = "";
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for (size_t x = 0; x < matrix.getColumns(); x++) {
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@@ -38,6 +39,7 @@ void showMatrix(Matrix matrix) {
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}
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std::cout << row << std::endl;
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}
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std::cout << std::endl;
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}
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Vector::Vector(int n) {
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