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#include <iostream> #include <cmath> using namespace std; // simple matrix multiplication #define THRESHOLD 2 int nextPowerOfTwo(int n) { // return pow(2, int(ceil(log2(n)))); int power = 1; while (power < n) { power *= 2; } return power; } class Matrix { int rows, cols; int view_rows, view_cols; int **data; public: Matrix(int r, int c) { rows = r; cols = c; view_rows = r; view_cols = c; data = new int*[rows]; for (int i = 0; i < rows; i++) { data[i] = new int[cols]; } } ~Matrix() { for (int i = 0; i < rows; i++) { delete [] data[i]; } delete [] data; } void set(int i, int j, int val) { data[i][j] = val; } int get(int i, int j) { return data[i][j]; } int getRows() { return view_rows; } int getCols() { return view_cols; } void setView(int r, int c) { view_rows = r; view_cols = c; } void print() { for (int i = 0; i < rows; i++) { cout << "["; for (int j = 0; j < cols; j++) { cout << data[i][j] << " "; } cout << "]" << endl; } } }; Matrix* matmul(Matrix *a, Matrix *b) { if (a->getCols() != b->getRows()) { throw std::invalid_argument("Matrix dimensions do not match."); } Matrix *c = new Matrix(a->getRows(), b->getCols()); for (int i = 0; i < a->getRows(); i++) { for (int j = 0; j < b->getCols(); j++) { int sum = 0; for (int k = 0; k < a->getCols(); k++) { sum += a->get(i, k) * b->get(k, j); } c->set(i, j, sum); } } return c; } // pad matrix Matrix* pad(Matrix *a, int new_rows, int new_cols) { Matrix *padded = new Matrix(new_rows, new_cols); for (int i = 0; i < new_rows; i++) { for (int j = 0; j < new_cols; j++) { if (i < a->getRows() && j < a->getCols()) { padded->set(i, j, a->get(i, j)); } else { padded->set(i, j, 0); } } } } // split matrix void split_matrix(Matrix *a, Matrix *a11, Matrix *a12, Matrix *a21, Matrix *a22, int new_size) { for (int i = 0; i < new_size; i++) { for (int j = 0; j < new_size; j++) { a11->set(i, j, a->get(i, j)); a12->set(i, j, a->get(i, j + new_size)); a21->set(i, j, a->get(i + new_size, j)); a22->set(i, j, a->get(i + new_size, j + new_size)); } } } // merge matrix void merge_matrix(Matrix *a, Matrix *a11, Matrix *a12, Matrix *a21, Matrix *a22, int big_size, int small_size) { for (int i = 0; i < small_size; i++) { for (int j = 0; j < small_size; j++) { a->set(i, j, a11->get(i, j)); a->set(i, j + small_size, a12->get(i, j)); a->set(i + small_size, j, a21->get(i, j)); a->set(i + small_size, j + small_size, a22->get(i, j)); } } } // add matrix Matrix* add(Matrix *a, Matrix *b, int n) { Matrix *c = new Matrix(n, n); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { c->set(i, j, a->get(i, j) + b->get(i, j)); } } return c; } // subtract matrix Matrix* sub(Matrix *a, Matrix *b, int n) { Matrix *c = new Matrix(n, n); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { c->set(i, j, a->get(i, j) - b->get(i, j)); } } return c; } Matrix* strassen(Matrix *a, Matrix *b) { } int main() { const int A_ROWS = 16; const int A_COLS = 32; const int B_ROWS = 32; const int B_COLS = 48; Matrix *a = new Matrix(A_ROWS, A_COLS); Matrix *b = new Matrix(B_ROWS, B_COLS); // same seed srand(2); // init randomly for (int i = 0; i < A_ROWS; i++) { for (int j = 0; j < A_COLS; j++) { a->set(i, j, rand() % 10); } } for (int i = 0; i < B_ROWS; i++) { for (int j = 0; j < B_COLS; j++) { b->set(i, j, rand() % 10); } } cout << "Main:" << endl; cout << "Matrix A:" << endl; a->print(); cout << "Matrix B:" << endl; b->print(); Matrix *c_normal = matmul(a, b); cout << "Matrix C normal:" << endl; c_normal->print(); Matrix *c_strassen = strassen(a, b); cout << "Matrix C strassen:" << endl; c_strassen->print(); return 0; }