merge (inapropriately) detached2 to main
This commit is contained in:
Vendored
+9
@@ -0,0 +1,9 @@
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{
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"makefile.launchConfigurations": [
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{
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"cwd": "/home/emil/Coding/Assignments/SimplexTASK",
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"binaryPath": "/home/emil/Coding/Assignments/SimplexTASK/simplex.out",
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"binaryArgs": []
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}
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]
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}
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@@ -3,13 +3,43 @@
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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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Vector C = {-5, -4, 0, 0, 0, 0};
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Matrix A = {{6, 4, 1, 0, 0, 0}, {1, 2, 0, 1, 0, 0}, {-1, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1}};
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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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}
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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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{1, 2, 0, 1, 0, 0},
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{-1, 1, 0, 0, 1, 0},
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{0, 1, 0, 0, 0, 1}
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};
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Vector b = {24, 6, 1, 2};
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Result result = Simplex(C, A, b);
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//Matrix test = {{1, -1, -2}, {1, 1, -2}, {1, -1, 2}};
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//showMatrix(test);
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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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@@ -20,6 +50,9 @@ int main() {
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delete result.solution;
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}
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//std::cout << "asdasd" << std::endl;
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return 0;
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}
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+103
-20
@@ -15,42 +15,81 @@ struct Result {
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double objective_function_value;
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};
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Result Simplex(Vector C, Matrix A, Vector b, double eps = 0.01, bool maximize=true) {
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Result result{};
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Matrix generalMatrix = createGeneralMatrix(A, C, b);
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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 == 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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}
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Result result{};
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Matrix generalMatrix = createGeneralMatrix(A, C, b);
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std::cout << "Before:" << std::endl;
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showMatrix(generalMatrix);
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std::vector<int> basicVars(generalMatrix.getRows());
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basicVars[0] = -1;
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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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pivot_column_index = min_index(generalMatrix[0]);
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if (maximize) {
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if (generalMatrix[0][pivot_column_index] >= 0) {
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DestroyMatrix destroyedGeneralMatrix = destroyGeneralMatrix(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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pivot_column_index = min_index(generalMatrix[0]);
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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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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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result.objective_function_value = b[0];
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return result;
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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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for (int i = 1; i < generalMatrix.getRows(); i++) {
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@@ -68,6 +107,50 @@ Result Simplex(Vector C, Matrix A, Vector b, double eps = 0.01, bool maximize=tr
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//5
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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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@@ -1,5 +1,47 @@
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#include "matrix.h"
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void showMatrix(Matrix matrix) {
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int maxNumberLength = 1;
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for (size_t y = 0; y < matrix.getRows(); y++) {
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for (size_t x = 0; x < matrix.getColumns(); x++) {
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if (std::to_string(matrix[y][x]).length() > maxNumberLength) {
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maxNumberLength = std::to_string(matrix[y][x]).length();
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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 << 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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std::string strNumber = std::to_string(matrix[y][x]);
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bool spaceRight = true;
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while (strNumber.length() < maxNumberLength) {
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if (spaceRight) {
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strNumber += " ";
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}
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else {
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strNumber = " " + strNumber;
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}
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spaceRight = !spaceRight;
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strNumber = "" + strNumber;
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}
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if (matrix[y][x] == 0) {
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row += "[\033[0m" + strNumber + "\033[0m] ";
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}
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else if(matrix[y][x] > 0) {
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row += "[\033[32m" + strNumber + "\033[0m] ";
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}else {
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row += "[\033[31m" + strNumber + "\033[0m] ";
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}
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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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rows = n;
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columns = 1;
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@@ -9,6 +9,8 @@
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* Vector is a class to represent
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* a column vector with n rows.
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*/
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class Vector {
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protected:
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// Number of rows in vector
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@@ -95,4 +97,6 @@ public:
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friend std::ostream& operator<<(std::ostream& cout, Matrix& matrixObj);
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};
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void showMatrix(Matrix);
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#endif // TOOLS_MATRIX_H
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