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apl-inner now wraps its result in (enclose result) when A's ravel
contains any dict element (a boxed array). This matches Hui's
semantics where `1 ⍵ ∨.∧ X` produces a rank-0 wrapping the
(5 5) board, then ⊃ unwraps to bare matrix.
Homogeneous inner product unaffected (+.× over numbers and
matrices still produces bare arrays — none of those ravels
contain dicts).
life.apl restored to true as-written form:
life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵}
4 pipeline tests + 5 e2e tests verify heterogeneous case and
that ⊃ unwraps to the underlying (5 5) board.
Full suite 589/589. Phase 11 complete.
23 lines
1.0 KiB
APL
23 lines
1.0 KiB
APL
⍝ Conway's Game of Life — toroidal one-liner
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⍝
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⍝ The classic Roger Hui formulation:
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⍝ life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵}
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⍝
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⍝ Read right-to-left:
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⍝ ⊂⍵ : enclose the board (so it's a single scalar item)
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⍝ ¯1 0 1 ⌽¨ ⊂⍵ : produce 3 horizontally-shifted copies
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⍝ ¯1 0 1 ∘.⊖ … : outer-product with vertical shifts → 3×3 = 9 shifts
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⍝ +/ +/ … : sum the 9 boards element-wise → neighbor-count + self
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⍝ 3 4 = … : leading-axis-extended boolean — count is 3 (born) or 4 (survive)
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⍝ 1 ⍵ ∨.∧ … : "alive next" iff (count=3) or (alive AND count=4)
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⍝ ⊃ … : disclose the enclosed result back to a 2D board
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⍝
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⍝ Rules in plain language:
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⍝ - dead cell + 3 live neighbors → born
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⍝ - live cell + 2 or 3 live neighbors → survives
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⍝ - all else → dies
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⍝
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⍝ Toroidal: edges wrap (rotate is cyclic).
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life ← {⊃1 ⍵ ∨.∧ 3 4 = +/ +/ ¯1 0 1 ∘.⊖ ¯1 0 1 ⌽¨ ⊂⍵}
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