Differences between revisions 5 and 22 (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

Conways_Game_of_Life
Conway’s Game of Life in one line of APL
Time(r) for the Game of Life

CategoryShowcases

-  ⇤ ← Revision 5 as of 2007-01-05 23:16:02 → 
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+   ← Revision 22 as of 2008-08-20 18:57:21 → ⇥
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-= FunExamples =
+## page was renamed from FunExamples
= John Conways’s “Game of Life” =
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-[[TableOfContents]]

== John Conways`s "Game of Life" ==

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.
+This function takes a boolean matrix as argument and returns a boolean matrix with the new generation.
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-life←{                                 
     ↑1 ⍵∨.∧3 4=+/,¯1 0 1∘.⊖¯1 0 1∘.⌽⊂⍵  
 }
+  ∇ 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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-== Meaning of Life (Hitchhiker`s Guide to the Galaxy) ==
+== External links ==
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-As you might know, the answer to the ultimate question is '''42''', according to [http://en.wikipedia.org/wiki/Douglas_adams Douglas Adams`s] famous book "[http://en.wikipedia.org/wiki/The_Hitchhiker's_Guide_to_the_Galaxy Hitchhiker`s Guide to the Galaxy"]. We do not need a supercomputer and millions of years to proof that. Whatever you specify as right argument to this function:
+ * 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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-{{{
MeaningOfLife←{+.×/⍎⊖⍕⊃¨⊂|⌊-*+○⌈∨.∧/>\</×÷!⌽⍉⍉⌹~⍴⍋⍒,⍟?⍳''≡1↑0⍴∊⍵}
}}}

...will produce a reasonable answer, regardless which type/lenght/depth/rank it is.
+----
CategoryShowcases