Percolation/Site percolation/J: Difference between revisions
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m (flesh out examples a bit) |
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2 0 2 0 1 0 1 0 0 1 1 1 1 1 0 ([ >. [ +&* [ * [: ; groups@[ <@(* * 2 < >./)/. +) 0 0 1 1 1 1 0 2 0 2 0 1 1 1 1 |
2 0 2 0 1 0 1 0 0 1 1 1 1 1 0 ([ >. [ +&* [ * [: ; groups@[ <@(* * 2 < >./)/. +) 0 0 1 1 1 1 0 2 0 2 0 1 1 1 1 |
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2 0 2 0 1 0 1 0 0 2 2 2 2 2 0</lang> |
2 0 2 0 1 0 1 0 0 2 2 2 2 2 0</lang> |
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Note that u/. uses the key in the left argument to gather corresponding values from the right argument (which are then processed by <code>u</code>). |
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<lang j> 2 0 2 0 1 0 1 0 0 1 1 1 1 1 0 (groups@[ </. +) 0 0 1 1 1 1 0 2 0 2 0 1 1 1 1 |
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┌───┬───┬───┬─────┬───────────┐ |
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│2 0│3 1│2 1│1 2 0│3 1 2 2 2 1│ |
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└───┴───┴───┴─────┴───────────┘ |
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2 0 2 0 1 0 1 0 0 1 1 1 1 1 0 (groups@[ <@(>./)/. +) 0 0 1 1 1 1 0 2 0 2 0 1 1 1 1 |
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┌─┬─┬─┬─┬─┐ |
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│2│3│2│2│3│ |
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└─┴─┴─┴─┴─┘ |
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2 0 2 0 1 0 1 0 0 1 1 1 1 1 0 (groups@[ <@(2 < >./)/. +) 0 0 1 1 1 1 0 2 0 2 0 1 1 1 1 |
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┌─┬─┬─┬─┬─┐ |
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│0│1│0│0│1│ |
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└─┴─┴─┴─┴─┘ |
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2 0 2 0 1 0 1 0 0 1 1 1 1 1 0 (groups@[ <@(* * 2 < >./)/. +) 0 0 1 1 1 1 0 2 0 2 0 1 1 1 1 |
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┌───┬───┬───┬─────┬───────────┐ |
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│0 0│1 1│0 0│0 0 0│1 1 1 1 1 1│ |
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└───┴───┴───┴─────┴───────────┘</lang> |
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We use +&* because 1 +&* 2 is 2, but also 2 +&* 2 is 2: |
We use +&* because 1 +&* 2 is 2, but also 2 +&* 2 is 2: |
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1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 |
1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 |
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0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 |
0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 |
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1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 |
1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 |
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0.6 percolate@([ >: ] ?@$ 0:) 15 15 |
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0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 |
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0 1 0 2 0 2 2 0 2 0 2 2 0 0 0 |
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1 0 2 2 2 2 2 2 2 0 0 2 0 0 1 |
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0 2 2 0 2 0 2 0 2 0 2 2 2 0 1 |
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2 2 2 2 0 2 2 2 2 0 2 2 0 0 1 |
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2 2 2 0 1 0 2 2 0 0 2 2 2 2 0 |
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0 0 2 2 0 0 2 2 2 0 2 2 0 2 2 |
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0 2 2 0 0 2 2 2 2 2 0 2 2 0 2 |
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0 2 0 0 0 2 0 0 0 0 0 2 2 0 0 |
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0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 |
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0 2 2 2 2 2 0 0 2 2 2 0 1 0 2 |
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2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 |
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2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 |
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0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 |
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0 1 0 0 2 0 2 2 0 0 1 0 2 0 1</lang> |
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<code>simulate</code> runs a sequence of 15 by 15 trials and averages them. Since each trial is different, each run of simulate is different. |
<code>simulate</code> runs a sequence of 15 by 15 trials and averages them. Since each trial is different, each run of simulate is different. |
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