Application Name
Matrix Multiplication
Summary
- Name: Matrix Multiplication
- Contact Person: support-compss@bsc.es
- Access Level: public
- License Agreement: GPL
- Platform: COMPSs
- Repository: Matrix Multiplication
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.
Versions
There are three versions of Matrix Multiplication, depending on the data types used to store the blocks.
Version 1
files, where the matrix blocks are stored in files.
Version 2
objects, where the matrix blocks are represented by objects.
Version 3
arrays, where the matrix blocks are stored in arrays.
Execution instructions
Usage: runcompss matmul.objects.Matmul <MSIZE> <BSIZE> runcompss matmul.files.Matmul <MSIZE> <BSIZE> runcompss matmul.arrays.Matmul <MSIZE> <BSIZE>
where:
- - MSIZE: Number of blocks of the matrix
- - BSIZE: Number of elements per block
Execution Example
runcompss matmul.objects.Matmul 16 4
Build
Option 1: Native java
cd ~/workspace_java/matmul/; javac src/main/java/matmul/*/*.java cd src/main/java/; jar cf matmul.jar matmul/ cd ../../../; mv src/main/java/matmul.jar jar/
Option 2: Maven
cd ~/workspace_java/matmul/ mvn clean package
Attachments (1)
- matmul.tar.gz (34.8 KB) - added by trac 9 years ago.
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