"Distributed Computing and Grid-technologies in Science and Education "

1. "Distributed Computing and Grid-technologies in Science and Education" PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS KlimovGeorgy Dubna, 2012

2. AGENDA • Grid & GPU • GPU architecture • CUDA technologies • Grid-projects with GPU using • Monotonic Basin Hopping method • CUDA-realization of MBH • Further investigations plan • Summary

3. Grid & GPU • GPU advantages: • ~33% of all PCs are equipped with modern GPU (~60% - Nvidia) • Common usage of GPU resources <5% (HD film) • GPU optimized for working with huge textures arrays • Modern GPUs consist of tens or even hundreds cores. It means great performance for some kinds of tasks • Problems, solving by Grid: • effective using of existing resources • working with huge data arrays • providing high performance PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

4. GPU architecture • scalable array of ТРС • with it’s own DRAM • 8 Scalar Processors • 2 Special Functions Units • Double Precision Unit • Register File • Shared Memory • Texture Memory Cache • Constant Memory Cache PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

5. CUDA technology CUDA – Compute Unified Device Architecture • Supports all NVidia GPUs starting from GeForce 8-x series • Low level access to the hardware - graphics API knowledge not required • CUDA programming language is based on C/C++ syntax – easier porting of existing code • Greater performance comparing to OpenCL (50-100% performance increase in different researches) PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

6. CUDA technology CUDA programming model PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

7. CUDA technology CUDA threads hierarchy • Threads groups in Blocks (1, 2 or 3-dim) • Blocks groups in Grid (1 or 2-dim) • Treads within Block: • Sharing data through shared memory • Synchronizing their execution • Threads from different blocks operate independently • Built variables threadIdx, blockIdx etc. PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

8. CUDA technology CUDA memory hierarchy PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

9. Grid-projects with GPU using GPUgrid.net - volunteer distributed computing project for biomedical research from the UniversitatPompeuFabra in Barcelona (Spain) Collatz Conjecture - research in mathematics, specifically testing the Collatz Conjecture also known as 3x+1 or HOTPO (half or triple plus one). PrimeGrid - to bring the excitement of prime finding PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

10. Monotonic Basin Hopping method Algorithm steps: • 1. Start from point x0 • 2. Repeat until the stop condition: • 2.1. generate point Φ(x) • 2.2. apply the local minimization algorithm to the point Φ (x) → get point x1. • 2.3. iff (x1 ) < f (x) , then x = x1 • 3. Return x * Gradient descent was used as local minimization algorithm PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

11. CUDA-realization of MBH • Divide the research area into equal square areas • Each thread implements the algorithm in it’s area • Find minimum among the results of each thread Ymax I, j Ymin Xmin Xmax PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

12. CUDA-realization of MBH Used hardware: • GPU1 - Tesla 10: • max threads per block = 512 • max threads per dim = 512 • max blocks per dim = 65535 • number of multiproc = 30 • GPU2 - GeForce GT 525M: • max threads per block = 1024 • max threads per dim = 1024 • max blocks per dim = 65535 • number of multiproc = 2 • CPU - Intel core2duo T6400 • number of cores = 2 • Clock speed = 2 GHz PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

13. CUDA-realization of MBH Methodology of the experiment • Four parameters: the radius of the “jump” of the algorithm MBH - r, the maximum number of steps in the cycle - N, the number of blocks launched - Nb and the number of threads per block - Nt • Set Nb and Nt • The radius ris calculated as half of a square area diametr • The number of cycle’s steps N is determined a result of the experiment * • 4 test functions were selected: Ackley, Griewank, Rastrigin, Shubert The result is considered valid if it differs from the tabular less than 0.001 The result is considered valid if an average of 9 times out of 10 gives the right within the specified accuracy of the answer The time averaged over 20 runs of the program PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

14. CUDA-realization of MBH Results for Ackley function Minimal time of finding extremum, sec Minimal time of finding extremum, sec block block blocks blocks blocks blocks blocks blocks Number of treads per block Number of treads per block PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

15. CUDA-realization of MBH Results for Griewank function Minimal time of finding extremum, sec Minimal time of finding extremum, sec block block blocks blocks blocks blocks blocks blocks Number of treads per block Number of treads per block PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

16. CUDA-realization of MBH Results for Rastrigin function Minimal time of finding extremum, sec Minimal time of finding extremum, sec block block blocks blocks blocks blocks blocks blocks Number of treads per block Number of treads per block PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

17. CUDA-realization of MBH Results for Shubert function Minimal time of finding extremum, sec Minimal time of finding extremum, sec block block blocks blocks blocks blocks blocks blocks Number of treads per block Number of treads per block PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

18. Further investigations plan • Use more complicated and accurate local optimization methods • Uprgrade method of parallization • Improve algorithm of MBH “jump” set-up • Build solution for Molecular cluster modeling based on MBH method • Integrate CUDA-solution to BNB-Grid project • Describe class of functions that can be effectively processed on GPUs PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

19. Summary • There are huge share of GPUs among PCs • GPU is a multicore system • CUDA is one of the technologies that provides great performance of GPU calculations • There are a number of Grid-projects that already use CUDA • Tests shows that in some cases GPU perform 5-100 times better than CPU PROSPECTS OF USING GPU IN DESKTOP-GRID SYSTEMS Klimov G., CMC MSU 2012

20. THANKS FOR YOUR ATTENTION!