Application Name

Matrix multiplication with Objects

Summary

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

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 N³ tasks arranged as N² chains of N tasks in the dependency graph.

Execution instructions

Usage: runcompss --lang=python --classpath=/home/compss/workspace_python/ /home/compss/workspace_python/matmul-objects/matmul.py <numberOfBlocks> <blockSize>

where:

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

Execution Example

runcompss --lang=python --classpath=/home/compss/workspace_python/ /home/compss/workspace_python/matmul-objects/matmul.py 16 4

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