Version 11 (modified by benl, 4 years ago) |
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Laplace
Solves the Laplace equation u_xx + u_yy = 0 in a rectangular domain, by iteratively applying a stencil function.
The first argument is the number of iterations to use. The second is a BMP file containing boundary conditions.
repa-laplace 10000 pls-400x400.bmp pls-400x400-out.bmp
Code
The main algorithm is at Solver.hs
The wrapper is at Main.hs
Test Data
In the input file, greyscale gives the boundary conditions, blue specifies where to determine the solution.
pls-400x400.bmp | pls-400x400-out.bmp |
full size | full size |
Runtime
Compiled with GHC 6.13.20100309. 400x400 image. 10000 iterations.
Running on a Intel i7 iMac. 2.8Ghz, 4 cores x 2 threads/core. 256k L1, 8MB L2, 8GB main memory.
Times stated include IO.
Threads | Time(s) |
1 | 64.67 |
2 | 37.29 |
3 | 27.45 |
4 | 31.96 |
5 | 28.08 |
6 | 24.39 |
7 | 23.83 |
8 | 24.67 |
Attachments
- pls-400x400-thumb.png (2.6 kB) - added by benl 4 years ago.
- pls-400x400-out-thumb.jpg (6.0 kB) - added by benl 4 years ago.