MatrixFunction/main.cpp at master · BaseMax/MatrixFunction · GitHub

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/**
*
* @Name : MatrixFunction/main.cpp
* @Version : 1.0
* @Programmer : SorenCoder, Max
* @Date : 2019-07-17
* @Released under : https://github.com/BaseMax/MatrixFunction/blob/master/LICENSE
* @Repository : https://github.com/BaseMax/MatrixFunction
*
**/
#include<iostream>
// #include <math.h>
#include<cmath>
/*
 * Reffrences
 * @url: http://www.cplusplus.com/doc/tutorial/classes/
 * @url: https://en.wikipedia.org/wiki/Determinant
 * @url: https://en.wikipedia.org/wiki/coefficient
 * @url: https://en.wikipedia.org/wiki/Matrix_multiplication
 * @url: https://en.wikipedia.org/wiki/Cramer%27s_rule
 * @url: https://fa.wikipedia.org/wiki/%D9%82%D8%A7%D8%B9%D8%AF%D9%87_%DA%A9%D8%B1%D8%A7%D9%85%D8%B1
 * @url: https://www.mathwords.com/c/cofactor_matrix.htm
 * @url: https://www.geeksforgeeks.org/determinant-of-a-matrix/
*/
constint size = 3;
int length;

intmatrixDeterminant3_3(int array[3][3]) {
return array[0][0] * array[1][1]*array[2][2]
 + array[0][1] * array[1][2] * array[2][0]
 + array[0][2] * array[1][0] * array[2][1]
 - array[0][2] * array[1][1] * array[2][0]
 - array[0][1] * array[1][0] * array[2][2]
 - array[0][0] * array[1][2] * array[2][1];
}

voidmatrixMultiplication(int matrix[3][3], float number, float result[3][3]) {
for(int i=0; i<3; i++) {
for(int j=0; j<3; j++) {
 result[i][j]=matrix[i][j] * number;
 }
 }
}

voidmatrixVariance(int matrix[3][3], float result[3][3]) {
// float determinant=(float) matrixDeterminant3_3(a);
// float determinant_1=1 / d;
int values[3][3]={
 matrix[1][1]*matrix[2][2]-matrix[1][2]*matrix[2][1],
 matrix[0][2]*matrix[2][1]-matrix[0][1]*matrix[2][2],
 matrix[0][1]*matrix[1][2]-matrix[0][2]*matrix[1][1],
////////////////////////////////////////////////////
 matrix[1][2]*matrix[2][0]-matrix[1][0]*matrix[2][2],
 matrix[0][0]*matrix[2][2]-matrix[0][2]*matrix[2][0],
 matrix[0][2]*matrix[1][0]-matrix[0][0]*matrix[1][2],
////////////////////////////////////////////////////
 matrix[1][0]*matrix[2][1]-matrix[1][1]*matrix[2][0],
 matrix[0][1]*matrix[2][0]-matrix[0][0]*matrix[2][1],
 matrix[0][0]*matrix[1][1]-matrix[0][1]*matrix[1][0],
	};
matrixMultiplication(values, (float) 1 / (float) matrixDeterminant3_3(matrix), result);
}

classArray {
private:
// int size = 3;
// int length;
public:
doublearraySum(double* values, constint length) {
double result = 0;
for (int i = 0; i < length; ++i) {
 result += values[i];
 }
return result;
 }

double* arrayPower(double* values, constint power) {
double* result = newdouble[length];
for (int i = 0; i < length; ++i) {
 result[i] = pow(values[i], power);
 }
return result;
 }

double* arrayMultiply(double* firstArray, double* secondArray) {
double* result = newdouble[length];
for (int i = 0; i < length; ++i) {
 result[i] = firstArray[i] * secondArray[i];
 }
return result;
 }

voidarraySubstituteColumn(double matrix[size][size], int column, double replace[size], double result[size][size]) {
for (int i = 0; i < size; ++i) {
for (int j = 0; j < size; ++j) {
if (j == column)
 {
 result[i][j] = replace[i];
 }
else
 {
 result[i][j] = matrix[i][j];
 }
 }
 }
 }

voidgetCofactor(double matrix[size][size], double output[size][size], constint excludingRow, constint excludingColumn, constint sizeEntions) {
int i = 0, j = 0;
for (int row = 0; row < sizeEntions; row++) {
for (int column = 0; column < sizeEntions; column++) {
if (row != excludingRow && column != excludingColumn) {
 output[i][j++] = matrix[row][column];
if (j == sizeEntions - 1) {
 j = 0;
 i++;
 }
 }
 }
 }
 }

doublearrayDeterminant(double matrix[size][size], constint sizeEnsion) {
double result = 0;
if (sizeension == 1)
return matrix[0][0];
double cofactor[size][size];
int sign = 1;
for (int index = 0; index < sizeEnsion; index++) {
getCofactor(matrix, cofactor, 0, index, sizeEnsion);
 result += sign * matrix[0][index] * arrayDeterminant(cofactor, sizeEnsion - 1);
 sign = -sign;
 }
return result;
 }
};

intmain() {
	Array array;

	std::cout << "Enter Length: " << std::endl;
	std::cin >> length;

double* x = newdouble[length];
double* y = newdouble[length];

	std::cout << "Enter " << length << " First values:" << std::endl;
for (int i = 0; i < length; i++) {
 std::cin >> x[i];
	}

	std::cout << "Enter " << length << " Second values:" << std::endl;
for (int i = 0; i < length; i++) {
 std::cin >> y[i];
	}

double* result = newdouble[3];

double coefficient[size][size];
double results[size][1];

for (int row = 0; row < size; ++row) {
for (int column = 0; column < size; ++column) {
 coefficient[row][column] = array.arraySum(array.arrayPower(x, row + column), length);
 }
	}

double* x_y = array.arrayMultiply(x, y);
double* x2 = array.arrayPower(x, 2);
double* x2_y = array.arrayMultiply(x2, y);

	result[0] = array.arraySum(y, length);
	result[1] = array.arraySum(x_y, length);
	result[2] = array.arraySum(x2_y, length);

double matrixA[size][size];
double matrixB[size][size];
double matrixC[size][size];

	array.arraySubstituteColumn(coefficient, 0, result, matrixA);
	array.arraySubstituteColumn(coefficient, 1, result, matrixB);
	array.arraySubstituteColumn(coefficient, 2, result, matrixC);

	result[0] = array.arrayDeterminant(matrixA, size) / array.arrayDeterminant(coefficient, size);
	result[1] = array.arrayDeterminant(matrixB, size) / array.arrayDeterminant(coefficient, size);
	result[2] = array.arrayDeterminant(matrixC, size) / array.arrayDeterminant(coefficient, size);

	std::cout << "A: " << result[0] << std::endl; // NAN
	std::cout << "B: " << result[1] << std::endl; // NAN
	std::cout << "C: " << result[2] << std::endl; // NAN

//////////////////////////////////////////////////////////////////////////////////////////////
int matrix[3][3];
float result[3][3];
for(int i=0;i<3;i++) {
for(int j=0;j<3;j++) {
// cout << i << ", " << j << "\n";
 cin>>matrix[i][j];
 }
	}
int determinant=matrixDeterminant3_3(matrix);
	cout << determinant << endl;
matrixVariance(matrix, result);
for(int i=0;i<3;i++) {
for(int j=0;j<3;j++) {
 cout<<result[i][j];
 }
 cout << endl;
	}
return0;
}