Version 12 (modified by Ben Lippmeier, 13 years ago) (diff)



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


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


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 (2)

Download all attachments as: .zip