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apl-rng-state global mutable LCG. apl-rng-seed! for deterministic tests. apl-rng-next! advances state. apl-roll: monadic ?N returns scalar in 1..N (apl-io-relative). apl-monadic-fn dispatches "?" → apl-roll. apl-run "?10" → 8 (with seed 42) apl-run "?100" → in 1..100
383 lines
9.1 KiB
Plaintext
383 lines
9.1 KiB
Plaintext
; End-to-end pipeline tests: source string → tokenize → parse → eval-ast → array.
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; Verifies the full stack as a single function call (apl-run).
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(define mkrv (fn (arr) (get arr :ravel)))
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(define mksh (fn (arr) (get arr :shape)))
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; ---------- scalars ----------
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(apl-test "apl-run \"42\" → scalar 42" (mkrv (apl-run "42")) (list 42))
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(apl-test "apl-run \"¯7\" → scalar -7" (mkrv (apl-run "¯7")) (list -7))
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; ---------- strands ----------
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(apl-test
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"apl-run \"1 2 3\" → vector"
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(mkrv (apl-run "1 2 3"))
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(list 1 2 3))
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(apl-test "apl-run \"1 2 3\" shape" (mksh (apl-run "1 2 3")) (list 3))
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; ---------- dyadic arithmetic ----------
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(apl-test "apl-run \"2 + 3\" → 5" (mkrv (apl-run "2 + 3")) (list 5))
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(apl-run "2 × 3 + 4") ; right-to-left
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(apl-test
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"apl-run \"2 × 3 + 4\" → 14 (right-to-left)"
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(mkrv (apl-run "2 × 3 + 4"))
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(list 14))
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(apl-test
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"apl-run \"1 2 3 + 4 5 6\" → 5 7 9"
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(mkrv (apl-run "1 2 3 + 4 5 6"))
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(list 5 7 9))
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(apl-test
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"apl-run \"3 × 1 2 3 4\" → scalar broadcast"
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(mkrv (apl-run "3 × 1 2 3 4"))
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(list 3 6 9 12))
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; ---------- monadic primitives ----------
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(apl-test
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"apl-run \"⍳5\" → 1..5"
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(mkrv (apl-run "⍳5"))
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(list 1 2 3 4 5))
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(apl-test
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"apl-run \"-3\" → -3 (monadic negate)"
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(mkrv (apl-run "-3"))
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(list -3))
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(apl-test
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"apl-run \"⌈/ 1 3 9 5 7\" → 9 (max-reduce)"
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(mkrv (apl-run "⌈/ 1 3 9 5 7"))
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(list 9))
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(apl-test
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"apl-run \"⌊/ 4 7 2 9 1 3\" → 1 (min-reduce)"
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(mkrv (apl-run "⌊/ 4 7 2 9 1 3"))
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(list 1))
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; ---------- operators ----------
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(apl-test "apl-run \"+/⍳5\" → 15" (mkrv (apl-run "+/⍳5")) (list 15))
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(apl-test "apl-run \"×/⍳5\" → 120" (mkrv (apl-run "×/⍳5")) (list 120))
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(apl-test
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"apl-run \"⌈/3 1 4 1 5 9 2\" → 9"
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(mkrv (apl-run "⌈/3 1 4 1 5 9 2"))
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(list 9))
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(apl-test
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"apl-run \"+\\\\⍳5\" → triangular numbers"
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(mkrv (apl-run "+\\⍳5"))
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(list 1 3 6 10 15))
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; ---------- outer / inner products ----------
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(apl-test
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"apl-run \"1 2 3 ∘.× 1 2 3\" → mult table values"
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(mkrv (apl-run "1 2 3 ∘.× 1 2 3"))
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(list 1 2 3 2 4 6 3 6 9))
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(apl-test
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"apl-run \"1 2 3 +.× 4 5 6\" → dot product 32"
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(mkrv (apl-run "1 2 3 +.× 4 5 6"))
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(list 32))
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; ---------- shape ----------
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(apl-test
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"apl-run \"⍴ 1 2 3 4 5\" → 5"
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(mkrv (apl-run "⍴ 1 2 3 4 5"))
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(list 5))
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(apl-test "apl-run \"⍴⍳10\" → 10" (mkrv (apl-run "⍴⍳10")) (list 10))
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; ---------- comparison ----------
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(apl-test "apl-run \"3 < 5\" → 1" (mkrv (apl-run "3 < 5")) (list 1))
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(apl-test "apl-run \"5 = 5\" → 1" (mkrv (apl-run "5 = 5")) (list 1))
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(apl-test
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"apl-run \"1 2 3 = 1 0 3\" → 1 0 1"
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(mkrv (apl-run "1 2 3 = 1 0 3"))
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(list 1 0 1))
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; ---------- famous one-liners ----------
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(apl-test
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"apl-run \"+/(⍳10)\" → sum 1..10 = 55"
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(mkrv (apl-run "+/(⍳10)"))
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(list 55))
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(apl-test
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"apl-run \"×/⍳10\" → 10! = 3628800"
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(mkrv (apl-run "×/⍳10"))
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(list 3628800))
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(apl-test "apl-run \"⎕IO\" → 1" (mkrv (apl-run "⎕IO")) (list 1))
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(apl-test "apl-run \"⎕ML\" → 1" (mkrv (apl-run "⎕ML")) (list 1))
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(apl-test "apl-run \"⎕FR\" → 1248" (mkrv (apl-run "⎕FR")) (list 1248))
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(apl-test "apl-run \"⎕TS\" shape (7)" (mksh (apl-run "⎕TS")) (list 7))
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(apl-test "apl-run \"⎕FMT 42\" → \"42\"" (apl-run "⎕FMT 42") "42")
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(apl-test
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"apl-run \"⎕FMT 1 2 3\" → \"1 2 3\""
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(apl-run "⎕FMT 1 2 3")
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"1 2 3")
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(apl-test
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"apl-run \"⎕FMT ⍳5\" → \"1 2 3 4 5\""
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(apl-run "⎕FMT ⍳5")
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"1 2 3 4 5")
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(apl-test "apl-run \"⎕IO + 4\" → 5" (mkrv (apl-run "⎕IO + 4")) (list 5))
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(apl-test
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"apl-run \"(10 20 30 40 50)[3]\" → 30"
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(mkrv (apl-run "(10 20 30 40 50)[3]"))
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(list 30))
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(apl-test
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"apl-run \"(⍳10)[5]\" → 5"
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(mkrv (apl-run "(⍳10)[5]"))
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(list 5))
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(apl-test
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"apl-run \"A ← 100 200 300 ⋄ A[2]\" → 200"
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(mkrv (apl-run "A ← 100 200 300 ⋄ A[2]"))
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(list 200))
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(apl-test
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"apl-run \"V ← ⍳10 ⋄ V[3]\" → 3"
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(mkrv (apl-run "V ← ⍳10 ⋄ V[3]"))
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(list 3))
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(apl-test
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"apl-run \"(10 20 30)[1]\" → 10 (1-indexed)"
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(mkrv (apl-run "(10 20 30)[1]"))
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(list 10))
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(apl-test
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"apl-run \"V ← 10 20 30 40 50 ⋄ V[3] + 1\" → 31"
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(mkrv (apl-run "V ← 10 20 30 40 50 ⋄ V[3] + 1"))
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(list 31))
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(apl-test
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"apl-run \"(⍳5)[3] × 7\" → 21"
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(mkrv (apl-run "(⍳5)[3] × 7"))
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(list 21))
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(apl-test "decimal: 3.7 → 3.7" (mkrv (apl-run "3.7")) (list 3.7))
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(apl-test "decimal: ¯2.5 → -2.5" (mkrv (apl-run "¯2.5")) (list -2.5))
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(apl-test "decimal: 1.5 + 2.5 → 4" (mkrv (apl-run "1.5 + 2.5")) (list 4))
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(apl-test "decimal: ⌊3.7 → 3" (mkrv (apl-run "⌊ 3.7")) (list 3))
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(apl-test "decimal: ⌈3.7 → 4" (mkrv (apl-run "⌈ 3.7")) (list 4))
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(apl-test
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"⎕← scalar passthrough"
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(mkrv (apl-run "⎕← 42"))
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(list 42))
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(apl-test
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"⎕← vector passthrough"
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(mkrv (apl-run "⎕← 1 2 3"))
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(list 1 2 3))
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(apl-test
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"string: 'abc' → 3-char vector"
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(mkrv (apl-run "'abc'"))
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(list "a" "b" "c"))
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(apl-test "string: 'a' is rank-0 scalar" (mksh (apl-run "'a'")) (list))
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(apl-test "string: 'hello' shape (5)" (mksh (apl-run "'hello'")) (list 5))
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(apl-test
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"named-fn: f ← {⍺+⍵} ⋄ 3 f 4 → 7"
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(mkrv (apl-run "f ← {⍺+⍵} ⋄ 3 f 4"))
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(list 7))
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(apl-test
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"named-fn monadic: sq ← {⍵×⍵} ⋄ sq 7 → 49"
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(mkrv (apl-run "sq ← {⍵×⍵} ⋄ sq 7"))
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(list 49))
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(apl-test
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"named-fn dyadic: hyp ← {((⍺×⍺)+⍵×⍵)} ⋄ 3 hyp 4 → 25"
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(mkrv (apl-run "hyp ← {((⍺×⍺)+⍵×⍵)} ⋄ 3 hyp 4"))
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(list 25))
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(apl-test
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"named-fn: dbl ← {⍵+⍵} ⋄ dbl ⍳5"
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(mkrv (apl-run "dbl ← {⍵+⍵} ⋄ dbl ⍳5"))
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(list 2 4 6 8 10))
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(apl-test
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"named-fn factorial via ∇ recursion"
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(mkrv (apl-run "fact ← {0=⍵:1 ⋄ ⍵×∇⍵-1} ⋄ fact 5"))
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(list 120))
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(apl-test
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"named-fn used twice in expr: dbl ← {⍵+⍵} ⋄ (dbl 3) + dbl 4"
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(mkrv (apl-run "dbl ← {⍵+⍵} ⋄ (dbl 3) + dbl 4"))
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(list 14))
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(apl-test
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"named-fn with vector arg: neg ← {-⍵} ⋄ neg 1 2 3"
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(mkrv (apl-run "neg ← {-⍵} ⋄ neg 1 2 3"))
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(list -1 -2 -3))
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(apl-test
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"multi-axis: M[2;2] → center"
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(mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[2;2]"))
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(list 5))
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(apl-test
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"multi-axis: M[1;] → first row"
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(mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[1;]"))
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(list 1 2 3))
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(apl-test
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"multi-axis: M[;2] → second column"
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(mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[;2]"))
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(list 2 5 8))
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(apl-test
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"multi-axis: M[1 2;1 2] → 2x2 block"
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(mkrv (apl-run "M ← (2 3) ⍴ ⍳6 ⋄ M[1 2;1 2]"))
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(list 1 2 4 5))
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(apl-test
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"multi-axis: M[1 2;1 2] shape (2 2)"
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(mksh (apl-run "M ← (2 3) ⍴ ⍳6 ⋄ M[1 2;1 2]"))
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(list 2 2))
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(apl-test
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"multi-axis: M[;] full matrix"
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(mkrv (apl-run "M ← (2 2) ⍴ 10 20 30 40 ⋄ M[;]"))
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(list 10 20 30 40))
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(apl-test
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"multi-axis: M[1;] shape collapsed"
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(mksh (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[1;]"))
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(list 3))
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(apl-test
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"multi-axis: select all rows of column 3"
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(mkrv (apl-run "M ← (4 3) ⍴ 1 2 3 4 5 6 7 8 9 10 11 12 ⋄ M[;3]"))
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(list 3 6 9 12))
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(apl-test
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"train: mean = (+/÷≢) on 1..5"
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(mkrv (apl-run "(+/÷≢) 1 2 3 4 5"))
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(list 3))
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(apl-test
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"train: mean of 2 4 6 8 10"
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(mkrv (apl-run "(+/÷≢) 2 4 6 8 10"))
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(list 6))
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(apl-test
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"train 2-atop: (- ⌊) 5 → -5"
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(mkrv (apl-run "(- ⌊) 5"))
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(list -5))
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(apl-test
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"train 3-fork dyadic: 2(+×-)5 → -21"
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(mkrv (apl-run "2 (+ × -) 5"))
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(list -21))
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(apl-test
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"train: range = (⌈/-⌊/) on vector"
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(mkrv (apl-run "(⌈/-⌊/) 3 1 4 1 5 9 2 6"))
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(list 8))
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(apl-test
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"train: mean of ⍳10 has shape ()"
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(mksh (apl-run "(+/÷≢) ⍳10"))
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(list))
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(apl-test
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"compress: 1 0 1 0 1 / 10 20 30 40 50"
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(mkrv (apl-run "1 0 1 0 1 / 10 20 30 40 50"))
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(list 10 30 50))
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(apl-test
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"compress: empty mask → empty"
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(mkrv (apl-run "0 0 0 / 1 2 3"))
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(list))
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(apl-test
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"primes via classic idiom (multi-stmt)"
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(mkrv (apl-run "P ← ⍳ 30 ⋄ (2 = +⌿ 0 = P ∘.| P) / P"))
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(list 2 3 5 7 11 13 17 19 23 29))
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(apl-test
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"primes via classic idiom (n=20)"
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(mkrv (apl-run "P ← ⍳ 20 ⋄ (2 = +⌿ 0 = P ∘.| P) / P"))
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(list 2 3 5 7 11 13 17 19))
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(apl-test
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"compress: filter even values"
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(mkrv (apl-run "(0 = 2 | 1 2 3 4 5 6) / 1 2 3 4 5 6"))
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(list 2 4 6))
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(apl-test "inline-assign: x ← 5" (mkrv (apl-run "x ← 5")) (list 5))
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(apl-test
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"inline-assign: (2×x) + x←10 → 30"
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(mkrv (apl-run "(2 × x) + x ← 10"))
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(list 30))
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(apl-test
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"inline-assign primes one-liner: (2=+⌿0=a∘.|a)/a←⍳30"
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(mkrv (apl-run "(2 = +⌿ 0 = a ∘.| a) / a ← ⍳ 30"))
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(list 2 3 5 7 11 13 17 19 23 29))
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(apl-test
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"inline-assign: x is reusable — x + x ← 7 → 14"
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(mkrv (apl-run "x + x ← 7"))
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(list 14))
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(apl-test
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"inline-assign in dfn: f ← {x + x ← ⍵} ⋄ f 8 → 16"
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(mkrv (apl-run "f ← {x + x ← ⍵} ⋄ f 8"))
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(list 16))
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(begin (apl-rng-seed! 42) nil)
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(apl-test
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"?10 with seed 42 → 8 (deterministic)"
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(mkrv (apl-run "?10"))
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(list 8))
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(apl-test "?10 next call → 5" (mkrv (apl-run "?10")) (list 5))
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(apl-test
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"?100 stays in range"
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(let ((v (first (mkrv (apl-run "?100"))))) (and (>= v 1) (<= v 100)))
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true)
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(begin (apl-rng-seed! 42) nil)
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(apl-test
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"?10 with re-seed 42 → 8 (reproducible)"
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(mkrv (apl-run "?10"))
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(list 8))
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