2018-10-03 18:59:01 +00:00
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# setup: import numpy as np ; grid_shape = (512, 512) ; grid = np.zeros(grid_shape) ; block_low = int(grid_shape[0] * .4) ; block_high = int(grid_shape[0] * .5) ; grid[block_low:block_high, block_low:block_high] = 0.005 # noqa
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# run: evolve(grid, 0.1)
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# from: High Performance Python by Micha Gorelick and Ian Ozsvald,
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# http://shop.oreilly.com/product/0636920028963.do
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2018-04-05 22:07:33 +00:00
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2018-10-03 18:59:01 +00:00
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# pythran export evolve(float64[][], float)
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2018-10-03 12:38:48 +00:00
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2018-04-05 22:07:33 +00:00
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import numpy as np
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2018-10-03 12:38:48 +00:00
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2018-04-05 22:07:33 +00:00
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def laplacian(grid):
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2020-06-28 18:24:40 +00:00
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return (
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np.roll(grid, +1, 0)
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+ np.roll(grid, -1, 0)
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+ np.roll(grid, +1, 1)
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+ np.roll(grid, -1, 1)
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- 4 * grid
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)
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2018-10-03 12:38:48 +00:00
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2018-04-05 22:07:33 +00:00
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def evolve(grid, dt, D=1):
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return grid + dt * D * laplacian(grid)
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