83 lines
2.5 KiB
C++
83 lines
2.5 KiB
C++
#include "elimination.h"
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#include "math.h"
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FracturedMatrix::FracturedMatrix(const FracturedMatrix& other) : A(other.A), C(other.C), b(other.b), pivot_column_index(other.pivot_column_index), pivot_row_index(other.pivot_row_index) {}
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FracturedMatrix::FracturedMatrix(Matrix A, Vector C, Vector b, int pivot_column_index, int pivot_row_index) : A(A), C(C), b(b), pivot_column_index(pivot_column_index), pivot_row_index(pivot_row_index) {}
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FracturedMatrix& FracturedMatrix::operator=(const FracturedMatrix& other) {
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A = other.A;
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C = other.C;
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b = other.b;
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pivot_column_index = other.pivot_column_index;
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pivot_row_index = other.pivot_row_index;
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return *this;
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}
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DestroyMatrix destroyGeneralMatrix(Matrix& generalMatrix) {
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int rows = generalMatrix.getRows();
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int cols = generalMatrix.getColumns();
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Matrix A(rows - 1, cols - 1);
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Vector C(cols - 1);
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Vector b(rows - 1);
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for (int j = 0; j < cols - 1; ++j) {
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C[j] = generalMatrix[0][j];
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}
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for (int i = 1; i < rows; ++i) {
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b[i - 1] = generalMatrix[i - 1][cols - 1];
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}
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for (int i = 1; i < rows; ++i) {
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for (int j = 0; j < cols - 1; ++j) {
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A[i - 1][j] = generalMatrix[i][j];
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}
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}
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return {A, C, b};
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}
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Matrix createGeneralMatrix(Matrix& A, Vector& C, Vector& b) {
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Matrix generalMatrix(A.getRows() + 1, A.getColumns() + 1);
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for (int i = 0; i < A.getColumns(); i++) {
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generalMatrix[0][i] = C[i];
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}
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// For objective function (j=0) the value is set to zero automatically
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for (int j = 1; j < A.getRows() + 1; j++) {
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generalMatrix[j][A.getColumns()] = b[j-1];
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}
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for (int i = 0; i < A.getRows(); i++) {
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for (int j = 0; j < A.getColumns(); j++) {
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generalMatrix[i + 1][j] = A[i][j];
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}
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}
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return generalMatrix;
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}
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void elimination(Matrix& generalMatrix, int pivot_row_index, int pivot_column_index) {
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int rows = generalMatrix.getRows();
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int cols = generalMatrix.getColumns();
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double pivotElement = generalMatrix[pivot_row_index][pivot_column_index];
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for (int j = 0; j < cols; ++j) {
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generalMatrix[pivot_row_index][j] /= pivotElement;
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}
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for (int i = 0; i < rows; ++i) {
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if (i == pivot_row_index)
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continue;
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double pivotColumnCoefficient = generalMatrix[i][pivot_column_index];
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for (int j = 0; j < cols; ++j) {
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generalMatrix[i][j] -= pivotColumnCoefficient * generalMatrix[pivot_row_index][j];
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}
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}
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}
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