Differences between revisions 4 and 21 (spanning 17 versions)

John Conways’s “Game of Life”

This function takes a boolean matrix as argument and returns a boolean matrix with the new generation.

  ∇ nextGeneration←Life currentGeneration
[1] ⍝⍝ Take a matrix of Booleans and returns one
[2]  nextGeneration←↑1 currentGeneration∨.∧3 4=+/,¯1 0 1∘.⊖¯1 0 1∘.⌽⊂currentGeneration
  ∇

External links

wiki:WikiPedia/Conways_Game_of_Life
[http://catpad.net/michael/apl/ Conway’s Game of Life in one line of APL]
[http://www.vector.org.uk/archive/v213/cliff213.htm Time(r) for the Game of Life]

CategoryShowcases

-  ⇤ ← Revision 4 as of 2007-01-05 22:56:01 → 
  Size: 882
  Editor: KaiJaeger
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+   ← Revision 21 as of 2007-03-09 09:05:08 → ⇥
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  Editor: StephenTaylor
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-Deletions are marked like this.
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-= FunExamples =
+## page was renamed from FunExamples
= John Conways’s “Game of Life” =
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-[[TableOfContents]]

== Meaning of Life (Hitchhiker`s Guide to the Galaxy) ==

Whatever you specify as right argument to this function:
+This function takes a boolean matrix as argument and returns a boolean matrix with the new generation.
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-MeaningOfLife←{+.×/⍎⊖⍕⊃¨⊂|⌊-*+○⌈∨.∧/>\</×÷!⌽⍉⍉⌹~⍴⍋⍒,⍟?⍳''≡1↑0⍴∊⍵}
+  ∇ nextGeneration←Life currentGeneration
[1] ⍝⍝ Take a matrix of Booleans and returns one
[2]  nextGeneration←↑1 currentGeneration∨.∧3 4=+/,¯1 0 1∘.⊖¯1 0 1∘.⌽⊂currentGeneration
  ∇
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-...will produce a reasonable answer, regardless which type/lenght/depth/rank it is.
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-== John Conways`s "Game of Life" ==
+== External links ==
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-This dynamic function takes a boolean matrix as argument and return a boolean matrix with the new generation. It is taken from [http://www.dyalog.dk/dfnsdws/n_life.htm Dyalog`s] Website. Note that this website is at the moment ist not supporting Unicode. You should see APL characters with Internet Explorer but not with other browser.
+ * wiki:WikiPedia/Conways_Game_of_Life
 * [http://catpad.net/michael/apl/ Conway’s Game of Life in one line of APL]
 * [http://www.vector.org.uk/archive/v213/cliff213.htm Time(r) for the Game of Life]
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-{{{
life←{                                 
     ↑1 ⍵∨.∧3 4=+/,¯1 0 1∘.⊖¯1 0 1∘.⌽⊂⍵  
 }
}}}
+----
CategoryShowcases