Name: Matrix multiplication with Files
Contact Person: support-compss@bsc.es
Access Level: public
License Agreement: Apache2
Platform: COMPSs

Description

Matrix multiplication is a binary operation that takes a pair of matrices and produces another matrix.

If A is an n×m matrix and B is an m×p matrix, the result AB of their multiplication is an n×p matrix defined only if the number of columns m in A is equal to the number of rows m in B. When multiplying A and B, the elements of the rows in A are multiplied with corresponding columns in B.

In this implementation, A and B are square matrices (same number of rows and columns), and so it is the result matrix C. Each matrix is divided in N blocks of M doubles. The multiplication of two blocks is done by a multiply task method with a simple three-nested-loop implementation. When executed with COMPSs, the main program generates N^3^ tasks arranged as N^2^ chains of N tasks in the dependency graph.

Execution instructions

Usage:

runcompss --lang=python src/matmul_files.py numberOfBlocks blockSize

where:

• numberOfBlocks: Number of blocks inside each matrix
• blockSize: Size of each block

Execution Examples

runcompss --lang=python src/matmul_files.py 4 4
runcompss src/matmul_files.py 4 4
python -m pycompss src/matmul_files.py 4 4

Build

No build is required