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- Title
SIMD Optimization of Linear Expressions for Programmable Graphics Hardware.
- Authors
Bajaj, Chandrajit; Ihm, Insung; Min, Jungki; Oh, Jinsang
- Abstract
The increased programmability of graphics hardware allows efficient graphical processing unit (GPU) implementations of a wide range of general computations on commodity PCs. An important factor in such implementations is how to fully exploit the SIMD computing capacities offered by modern graphics processors. Linear expressions in the form of,where A is a matrix, andandare vectors, constitute one of the most basic operations in many scientific computations. In this paper, we propose a SIMD code optimization technique that enables efficient shader codes to be generated for evaluating linear expressions. It is shown that performance can be improved considerably by efficiently packing arithmetic operations into four-wide SIMD instructions through reordering of the operations in linear expressions. We demonstrate that the presented technique can be used effectively for programming both vertex and pixel shaders for a variety of mathematical applications, including integrating differential equations and solving a sparse linear system of equations using iterative methods.
- Subjects
COMPUTER graphics; COMPUTER software; NUMERICAL analysis software; INFORMATION retrieval; IMAGING systems
- Publication
Computer Graphics Forum, 2004, Vol 23, Issue 4, p697
- ISSN
0167-7055
- Publication type
Article
- DOI
10.1111/j.1467-8659.2004.00803.x