nus/cs2030s/labs/Lab9/Lab9a/MatrixMultiplication.java

133 lines
4.1 KiB
Java

import java.util.concurrent.ForkJoinTask;
import java.util.concurrent.RecursiveTask;
class MatrixMultiplication extends RecursiveTask<Matrix> {
/** The fork threshold. */
private static final int FORK_THRESHOLD = 1024; // Find a good threshold
/** The first matrix to multiply with. */
private final Matrix m1;
/** The second matrix to multiply with. */
private final Matrix m2;
/** The starting row of m1. */
private final int m1Row;
/** The starting col of m1. */
private final int m1Col;
/** The starting row of m2. */
private final int m2Row;
/** The starting col of m2. */
private final int m2Col;
/**
* The dimension of the input (sub)-matrices and the size of the output
* matrix.
*/
private int dimension;
/**
* A constructor for the Matrix Multiplication class.
*
* @param m1 The matrix to multiply with.
* @param m2 The matrix to multiply with.
* @param m1Row The starting row of m1.
* @param m1Col The starting col of m1.
* @param m2Row The starting row of m2.
* @param m2Col The starting col of m2.
* @param dimension The dimension of the input (sub)-matrices and the size
* of the output matrix.
*/
MatrixMultiplication(Matrix m1, Matrix m2, int m1Row, int m1Col, int m2Row,
int m2Col, int dimension) {
this.m1 = m1;
this.m2 = m2;
this.m1Row = m1Row;
this.m1Col = m1Col;
this.m2Row = m2Row;
this.m2Col = m2Col;
this.dimension = dimension;
}
public static final int THRESHOLD = 2;
@Override
public Matrix compute() {
// Modify this
if (dimension <= THRESHOLD) {
return Matrix.nonRecursiveMultiply(m1, m2, m1Row, m1Col, m2Row, m2Col, dimension);
}
int size = dimension / 2;
Matrix result = new Matrix(dimension);
ForkJoinTask<Matrix> a11b11Fork = new MatrixMultiplication(m1, m2, m1Row, m1Col, m2Row, m2Col, size).fork();
ForkJoinTask<Matrix> a12b21Fork = new MatrixMultiplication(m1, m2, m1Row, m1Col + size, m2Row + size, m2Col, size)
.fork();
ForkJoinTask<Matrix> a11b12Fork = new MatrixMultiplication(m1, m2, m1Row, m1Col, m2Row, m2Col + size, size).fork();
ForkJoinTask<Matrix> a12b22Fork = new MatrixMultiplication(m1, m2, m1Row, m1Col + size, m2Row + size, m2Col + size,
size).fork();
ForkJoinTask<Matrix> a21b11Fork = new MatrixMultiplication(m1, m2, m1Row + size, m1Col, m2Row, m2Col, size).fork();
ForkJoinTask<Matrix> a22b21Fork = new MatrixMultiplication(m1, m2, m1Row + size, m1Col + size, m2Row + size, m2Col,
size).fork();
ForkJoinTask<Matrix> a21b12Fork = new MatrixMultiplication(m1, m2, m1Row + size, m1Col, m2Row, m2Col + size, size)
.fork();
ForkJoinTask<Matrix> a22b22Fork = new MatrixMultiplication(m1, m2, m1Row + size, m1Col + size, m2Row + size,
m2Col + size, size).fork();
Matrix a11b11 = a11b11Fork.join();
Matrix a12b21 = a12b21Fork.join();
for (int i = 0; i < size; i++) {
double[] m1m = a11b11.m[i];
double[] m2m = a12b21.m[i];
double[] r1m = result.m[i];
for (int j = 0; j < size; j++) {
r1m[j] = m1m[j] + m2m[j];
}
}
Matrix a11b12 = a11b12Fork.join();
Matrix a12b22 = a12b22Fork.join();
for (int i = 0; i < size; i++) {
double[] m1m = a11b12.m[i];
double[] m2m = a12b22.m[i];
double[] r1m = result.m[i];
for (int j = 0; j < size; j++) {
r1m[j + size] = m1m[j] + m2m[j];
}
}
Matrix a21b11 = a21b11Fork.join();
Matrix a22b21 = a22b21Fork.join();
for (int i = 0; i < size; i++) {
double[] m1m = a21b11.m[i];
double[] m2m = a22b21.m[i];
double[] r1m = result.m[i + size];
for (int j = 0; j < size; j++) {
r1m[j] = m1m[j] + m2m[j];
}
}
Matrix a21b12 = a21b12Fork.join();
Matrix a22b22 = a22b22Fork.join();
for (int i = 0; i < size; i++) {
double[] m1m = a21b12.m[i];
double[] m2m = a22b22.m[i];
double[] r1m = result.m[i + size];
for (int j = 0; j < size; j++) {
r1m[j + size] = m1m[j] + m2m[j];
}
}
return result;
}
}