Matrix Operations (Addition, Multiplication) Gaming Project in C++

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3 months ago

#include <iostream>
#include <vector>

using namespace std;

// Function to add two matrices
vector<vector<int>> addMatrices(const vector<vector<int>>& mat1, const vector<vector<int>>& mat2) {
    int rows = mat1.size();
    int cols = mat1[0].size();
    vector<vector<int>> result(rows, vector<int>(cols));

    for (int i = 0; i < rows; ++i) {
        for (int j = 0; j < cols; ++j) {
            result[i][j] = mat1[i][j] + mat2[i][j];
        }
    }
    return result;
}

// Function to multiply two matrices
vector<vector<int>> multiplyMatrices(const vector<vector<int>>& mat1, const vector<vector<int>>& mat2) {
    int rows1 = mat1.size();
    int cols1 = mat1[0].size();
    int rows2 = mat2.size();
    int cols2 = mat2[0].size();

    if (cols1 != rows2) {
        throw invalid_argument("Matrix dimensions do not match for multiplication.");
    }

    vector<vector<int>> result(rows1, vector<int>(cols2, 0));

    for (int i = 0; i < rows1; ++i) {
        for (int j = 0; j < cols2; ++j) {
            for (int k = 0; k < cols1; ++k) {
                result[i][j] += mat1[i][k] * mat2[k][j];
            }
        }
    }
    return result;
}

// Function to print a matrix
void printMatrix(const vector<vector<int>>& mat) {
    for (const auto& row : mat) {
        for (int val : row) {
            cout << val << " ";
        }
        cout << endl;
    }
}

int main() {
    // Define two matrices
    vector<vector<int>> mat1 = {
        {1, 2},
        {3, 4}
    };

    vector<vector<int>> mat2 = {
        {5, 6},
        {7, 8}
    };

    // Add matrices
    vector<vector<int>> sum = addMatrices(mat1, mat2);
    cout << "Sum of matrices:" << endl;
    printMatrix(sum);

    // Multiply matrices
    try {
        vector<vector<int>> product = multiplyMatrices(mat1, mat2);
        cout << "Product of matrices:" << endl;
        printMatrix(product);
    } catch (const invalid_argument& e) {
        cerr << e.what() << endl;
    }

    return 0;
}

#include <iostream>

#include <vector>

using namespace std;

// Function to add two matrices

vector<vector<int>> addMatrices(const vector<vector<int>>& mat1, const vector<vector<int>>& mat2) {

int rows = mat1.size();

int cols = mat1[0].size();

vector<vector<int>> result(rows, vector<int>(cols));

for (int i = 0; i < rows; ++i) {

for (int j = 0; j < cols; ++j) {

result[i][j] = mat1[i][j] + mat2[i][j];

}

return result;

}

// Function to multiply two matrices

vector<vector<int>> multiplyMatrices(const vector<vector<int>>& mat1, const vector<vector<int>>& mat2) {

int rows1 = mat1.size();

int cols1 = mat1[0].size();

int rows2 = mat2.size();

int cols2 = mat2[0].size();

if (cols1 != rows2) {

throw invalid_argument("Matrix dimensions do not match for multiplication.");

}

vector<vector<int>> result(rows1, vector<int>(cols2, 0));

for (int i = 0; i < rows1; ++i) {

for (int j = 0; j < cols2; ++j) {

for (int k = 0; k < cols1; ++k) {

result[i][j] += mat1[i][k] * mat2[k][j];

}

return result;

}

// Function to print a matrix

void printMatrix(const vector<vector<int>>& mat) {

for (const auto& row : mat) {

for (int val : row) {

cout << val << " ";

}

cout << endl;

}

int main() {

// Define two matrices

vector<vector<int>> mat1 = {

{1, 2},

{3, 4}

};

vector<vector<int>> mat2 = {

{5, 6},

{7, 8}

};

// Add matrices

vector<vector<int>> sum = addMatrices(mat1, mat2);

cout << "Sum of matrices:" << endl;

printMatrix(sum);

// Multiply matrices

try {

vector<vector<int>> product = multiplyMatrices(mat1, mat2);

cout << "Product of matrices:" << endl;

printMatrix(product);

} catch (const invalid_argument& e) {

cerr << e.what() << endl;

}

return 0;

}

Explanation

Matrix Addition (addMatrices):
- Takes two matrices mat1 and mat2 as input.
- Assumes that both matrices have the same dimensions.
- Creates a result matrix with the same dimensions.
- Adds corresponding elements from both matrices to fill the result matrix.
Matrix Multiplication (multiplyMatrices):
- Takes two matrices mat1 and mat2 as input.
- Checks if the number of columns in mat1 matches the number of rows in mat2 for valid matrix multiplication.
- Creates a result matrix with the appropriate dimensions (rows1 x cols2).
- Performs matrix multiplication using the standard formula: result[i][j] += mat1[i][k] * mat2[k][j].
Print Matrix (printMatrix):
- Takes a matrix and prints its elements row by row.
Main Function:
- Defines two matrices for demonstration.
- Calls addMatrices to compute their sum and prints the result.
- Calls multiplyMatrices to compute their product and prints the result. If the matrices are not compatible for multiplication, it catches and prints an error message.

Explanation

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