; End-to-end pipeline tests: source string → tokenize → parse → eval-ast → array. ; Verifies the full stack as a single function call (apl-run). (define mkrv (fn (arr) (get arr :ravel))) (define mksh (fn (arr) (get arr :shape))) ; ---------- scalars ---------- (apl-test "apl-run \"42\" → scalar 42" (mkrv (apl-run "42")) (list 42)) (apl-test "apl-run \"¯7\" → scalar -7" (mkrv (apl-run "¯7")) (list -7)) ; ---------- strands ---------- (apl-test "apl-run \"1 2 3\" → vector" (mkrv (apl-run "1 2 3")) (list 1 2 3)) (apl-test "apl-run \"1 2 3\" shape" (mksh (apl-run "1 2 3")) (list 3)) ; ---------- dyadic arithmetic ---------- (apl-test "apl-run \"2 + 3\" → 5" (mkrv (apl-run "2 + 3")) (list 5)) (apl-run "2 × 3 + 4") ; right-to-left (apl-test "apl-run \"2 × 3 + 4\" → 14 (right-to-left)" (mkrv (apl-run "2 × 3 + 4")) (list 14)) (apl-test "apl-run \"1 2 3 + 4 5 6\" → 5 7 9" (mkrv (apl-run "1 2 3 + 4 5 6")) (list 5 7 9)) (apl-test "apl-run \"3 × 1 2 3 4\" → scalar broadcast" (mkrv (apl-run "3 × 1 2 3 4")) (list 3 6 9 12)) ; ---------- monadic primitives ---------- (apl-test "apl-run \"⍳5\" → 1..5" (mkrv (apl-run "⍳5")) (list 1 2 3 4 5)) (apl-test "apl-run \"-3\" → -3 (monadic negate)" (mkrv (apl-run "-3")) (list -3)) (apl-test "apl-run \"⌈/ 1 3 9 5 7\" → 9 (max-reduce)" (mkrv (apl-run "⌈/ 1 3 9 5 7")) (list 9)) (apl-test "apl-run \"⌊/ 4 7 2 9 1 3\" → 1 (min-reduce)" (mkrv (apl-run "⌊/ 4 7 2 9 1 3")) (list 1)) ; ---------- operators ---------- (apl-test "apl-run \"+/⍳5\" → 15" (mkrv (apl-run "+/⍳5")) (list 15)) (apl-test "apl-run \"×/⍳5\" → 120" (mkrv (apl-run "×/⍳5")) (list 120)) (apl-test "apl-run \"⌈/3 1 4 1 5 9 2\" → 9" (mkrv (apl-run "⌈/3 1 4 1 5 9 2")) (list 9)) (apl-test "apl-run \"+\\\\⍳5\" → triangular numbers" (mkrv (apl-run "+\\⍳5")) (list 1 3 6 10 15)) ; ---------- outer / inner products ---------- (apl-test "apl-run \"1 2 3 ∘.× 1 2 3\" → mult table values" (mkrv (apl-run "1 2 3 ∘.× 1 2 3")) (list 1 2 3 2 4 6 3 6 9)) (apl-test "apl-run \"1 2 3 +.× 4 5 6\" → dot product 32" (mkrv (apl-run "1 2 3 +.× 4 5 6")) (list 32)) ; ---------- shape ---------- (apl-test "apl-run \"⍴ 1 2 3 4 5\" → 5" (mkrv (apl-run "⍴ 1 2 3 4 5")) (list 5)) (apl-test "apl-run \"⍴⍳10\" → 10" (mkrv (apl-run "⍴⍳10")) (list 10)) ; ---------- comparison ---------- (apl-test "apl-run \"3 < 5\" → 1" (mkrv (apl-run "3 < 5")) (list 1)) (apl-test "apl-run \"5 = 5\" → 1" (mkrv (apl-run "5 = 5")) (list 1)) (apl-test "apl-run \"1 2 3 = 1 0 3\" → 1 0 1" (mkrv (apl-run "1 2 3 = 1 0 3")) (list 1 0 1)) ; ---------- famous one-liners ---------- (apl-test "apl-run \"+/(⍳10)\" → sum 1..10 = 55" (mkrv (apl-run "+/(⍳10)")) (list 55)) (apl-test "apl-run \"×/⍳10\" → 10! = 3628800" (mkrv (apl-run "×/⍳10")) (list 3628800)) (apl-test "apl-run \"⎕IO\" → 1" (mkrv (apl-run "⎕IO")) (list 1)) (apl-test "apl-run \"⎕ML\" → 1" (mkrv (apl-run "⎕ML")) (list 1)) (apl-test "apl-run \"⎕FR\" → 1248" (mkrv (apl-run "⎕FR")) (list 1248)) (apl-test "apl-run \"⎕TS\" shape (7)" (mksh (apl-run "⎕TS")) (list 7)) (apl-test "apl-run \"⎕FMT 42\" → \"42\"" (apl-run "⎕FMT 42") "42") (apl-test "apl-run \"⎕FMT 1 2 3\" → \"1 2 3\"" (apl-run "⎕FMT 1 2 3") "1 2 3") (apl-test "apl-run \"⎕FMT ⍳5\" → \"1 2 3 4 5\"" (apl-run "⎕FMT ⍳5") "1 2 3 4 5") (apl-test "apl-run \"⎕IO + 4\" → 5" (mkrv (apl-run "⎕IO + 4")) (list 5)) (apl-test "apl-run \"(10 20 30 40 50)[3]\" → 30" (mkrv (apl-run "(10 20 30 40 50)[3]")) (list 30)) (apl-test "apl-run \"(⍳10)[5]\" → 5" (mkrv (apl-run "(⍳10)[5]")) (list 5)) (apl-test "apl-run \"A ← 100 200 300 ⋄ A[2]\" → 200" (mkrv (apl-run "A ← 100 200 300 ⋄ A[2]")) (list 200)) (apl-test "apl-run \"V ← ⍳10 ⋄ V[3]\" → 3" (mkrv (apl-run "V ← ⍳10 ⋄ V[3]")) (list 3)) (apl-test "apl-run \"(10 20 30)[1]\" → 10 (1-indexed)" (mkrv (apl-run "(10 20 30)[1]")) (list 10)) (apl-test "apl-run \"V ← 10 20 30 40 50 ⋄ V[3] + 1\" → 31" (mkrv (apl-run "V ← 10 20 30 40 50 ⋄ V[3] + 1")) (list 31)) (apl-test "apl-run \"(⍳5)[3] × 7\" → 21" (mkrv (apl-run "(⍳5)[3] × 7")) (list 21)) (apl-test "decimal: 3.7 → 3.7" (mkrv (apl-run "3.7")) (list 3.7)) (apl-test "decimal: ¯2.5 → -2.5" (mkrv (apl-run "¯2.5")) (list -2.5)) (apl-test "decimal: 1.5 + 2.5 → 4" (mkrv (apl-run "1.5 + 2.5")) (list 4)) (apl-test "decimal: ⌊3.7 → 3" (mkrv (apl-run "⌊ 3.7")) (list 3)) (apl-test "decimal: ⌈3.7 → 4" (mkrv (apl-run "⌈ 3.7")) (list 4)) (apl-test "⎕← scalar passthrough" (mkrv (apl-run "⎕← 42")) (list 42)) (apl-test "⎕← vector passthrough" (mkrv (apl-run "⎕← 1 2 3")) (list 1 2 3)) (apl-test "string: 'abc' → 3-char vector" (mkrv (apl-run "'abc'")) (list "a" "b" "c")) (apl-test "string: 'a' is rank-0 scalar" (mksh (apl-run "'a'")) (list)) (apl-test "string: 'hello' shape (5)" (mksh (apl-run "'hello'")) (list 5)) (apl-test "named-fn: f ← {⍺+⍵} ⋄ 3 f 4 → 7" (mkrv (apl-run "f ← {⍺+⍵} ⋄ 3 f 4")) (list 7)) (apl-test "named-fn monadic: sq ← {⍵×⍵} ⋄ sq 7 → 49" (mkrv (apl-run "sq ← {⍵×⍵} ⋄ sq 7")) (list 49)) (apl-test "named-fn dyadic: hyp ← {((⍺×⍺)+⍵×⍵)} ⋄ 3 hyp 4 → 25" (mkrv (apl-run "hyp ← {((⍺×⍺)+⍵×⍵)} ⋄ 3 hyp 4")) (list 25)) (apl-test "named-fn: dbl ← {⍵+⍵} ⋄ dbl ⍳5" (mkrv (apl-run "dbl ← {⍵+⍵} ⋄ dbl ⍳5")) (list 2 4 6 8 10)) (apl-test "named-fn factorial via ∇ recursion" (mkrv (apl-run "fact ← {0=⍵:1 ⋄ ⍵×∇⍵-1} ⋄ fact 5")) (list 120)) (apl-test "named-fn used twice in expr: dbl ← {⍵+⍵} ⋄ (dbl 3) + dbl 4" (mkrv (apl-run "dbl ← {⍵+⍵} ⋄ (dbl 3) + dbl 4")) (list 14)) (apl-test "named-fn with vector arg: neg ← {-⍵} ⋄ neg 1 2 3" (mkrv (apl-run "neg ← {-⍵} ⋄ neg 1 2 3")) (list -1 -2 -3)) (apl-test "multi-axis: M[2;2] → center" (mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[2;2]")) (list 5)) (apl-test "multi-axis: M[1;] → first row" (mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[1;]")) (list 1 2 3)) (apl-test "multi-axis: M[;2] → second column" (mkrv (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[;2]")) (list 2 5 8)) (apl-test "multi-axis: M[1 2;1 2] → 2x2 block" (mkrv (apl-run "M ← (2 3) ⍴ ⍳6 ⋄ M[1 2;1 2]")) (list 1 2 4 5)) (apl-test "multi-axis: M[1 2;1 2] shape (2 2)" (mksh (apl-run "M ← (2 3) ⍴ ⍳6 ⋄ M[1 2;1 2]")) (list 2 2)) (apl-test "multi-axis: M[;] full matrix" (mkrv (apl-run "M ← (2 2) ⍴ 10 20 30 40 ⋄ M[;]")) (list 10 20 30 40)) (apl-test "multi-axis: M[1;] shape collapsed" (mksh (apl-run "M ← (3 3) ⍴ ⍳9 ⋄ M[1;]")) (list 3)) (apl-test "multi-axis: select all rows of column 3" (mkrv (apl-run "M ← (4 3) ⍴ 1 2 3 4 5 6 7 8 9 10 11 12 ⋄ M[;3]")) (list 3 6 9 12)) (apl-test "train: mean = (+/÷≢) on 1..5" (mkrv (apl-run "(+/÷≢) 1 2 3 4 5")) (list 3)) (apl-test "train: mean of 2 4 6 8 10" (mkrv (apl-run "(+/÷≢) 2 4 6 8 10")) (list 6)) (apl-test "train 2-atop: (- ⌊) 5 → -5" (mkrv (apl-run "(- ⌊) 5")) (list -5)) (apl-test "train 3-fork dyadic: 2(+×-)5 → -21" (mkrv (apl-run "2 (+ × -) 5")) (list -21)) (apl-test "train: range = (⌈/-⌊/) on vector" (mkrv (apl-run "(⌈/-⌊/) 3 1 4 1 5 9 2 6")) (list 8)) (apl-test "train: mean of ⍳10 has shape ()" (mksh (apl-run "(+/÷≢) ⍳10")) (list)) (apl-test "compress: 1 0 1 0 1 / 10 20 30 40 50" (mkrv (apl-run "1 0 1 0 1 / 10 20 30 40 50")) (list 10 30 50)) (apl-test "compress: empty mask → empty" (mkrv (apl-run "0 0 0 / 1 2 3")) (list)) (apl-test "primes via classic idiom (multi-stmt)" (mkrv (apl-run "P ← ⍳ 30 ⋄ (2 = +⌿ 0 = P ∘.| P) / P")) (list 2 3 5 7 11 13 17 19 23 29)) (apl-test "primes via classic idiom (n=20)" (mkrv (apl-run "P ← ⍳ 20 ⋄ (2 = +⌿ 0 = P ∘.| P) / P")) (list 2 3 5 7 11 13 17 19)) (apl-test "compress: filter even values" (mkrv (apl-run "(0 = 2 | 1 2 3 4 5 6) / 1 2 3 4 5 6")) (list 2 4 6)) (apl-test "inline-assign: x ← 5" (mkrv (apl-run "x ← 5")) (list 5)) (apl-test "inline-assign: (2×x) + x←10 → 30" (mkrv (apl-run "(2 × x) + x ← 10")) (list 30)) (apl-test "inline-assign primes one-liner: (2=+⌿0=a∘.|a)/a←⍳30" (mkrv (apl-run "(2 = +⌿ 0 = a ∘.| a) / a ← ⍳ 30")) (list 2 3 5 7 11 13 17 19 23 29)) (apl-test "inline-assign: x is reusable — x + x ← 7 → 14" (mkrv (apl-run "x + x ← 7")) (list 14)) (apl-test "inline-assign in dfn: f ← {x + x ← ⍵} ⋄ f 8 → 16" (mkrv (apl-run "f ← {x + x ← ⍵} ⋄ f 8")) (list 16)) (begin (apl-rng-seed! 42) nil) (apl-test "?10 with seed 42 → 8 (deterministic)" (mkrv (apl-run "?10")) (list 8)) (apl-test "?10 next call → 5" (mkrv (apl-run "?10")) (list 5)) (apl-test "?100 stays in range" (let ((v (first (mkrv (apl-run "?100"))))) (and (>= v 1) (<= v 100))) true) (begin (apl-rng-seed! 42) nil) (apl-test "?10 with re-seed 42 → 8 (reproducible)" (mkrv (apl-run "?10")) (list 8)) (apl-test "apl-run-file: load primes.apl returns dfn AST" (first (apl-run-file "lib/apl/tests/programs/primes.apl")) :dfn) (apl-test "apl-run-file: life.apl parses without error" (first (apl-run-file "lib/apl/tests/programs/life.apl")) :dfn) (apl-test "apl-run-file: quicksort.apl parses without error" (first (apl-run-file "lib/apl/tests/programs/quicksort.apl")) :dfn) (apl-test "apl-run-file: source-then-call returns primes count" (mksh (apl-run (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 30"))) (list 10)) (apl-test "primes one-liner with ⍵-rebind: primes 30" (mkrv (apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 30")) (list 2 3 5 7 11 13 17 19 23 29)) (apl-test "primes one-liner: primes 50" (mkrv (apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 50")) (list 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47)) (apl-test "primes.apl loaded + called via apl-run-file" (mkrv (apl-run (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 20"))) (list 2 3 5 7 11 13 17 19)) (apl-test "primes.apl loaded — count of primes ≤ 100" (first (mksh (apl-run (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 100")))) 25) (apl-test "⍉ monadic transpose 2x3 → 3x2" (mkrv (apl-run "⍉ (2 3) ⍴ ⍳6")) (list 1 4 2 5 3 6)) (apl-test "⍉ transpose shape (3 2)" (mksh (apl-run "⍉ (2 3) ⍴ ⍳6")) (list 3 2)) (apl-test "⊢ monadic identity" (mkrv (apl-run "⊢ 1 2 3")) (list 1 2 3)) (apl-test "5 ⊣ 1 2 3 → 5 (left)" (mkrv (apl-run "5 ⊣ 1 2 3")) (list 5)) (apl-test "5 ⊢ 1 2 3 → 1 2 3 (right)" (mkrv (apl-run "5 ⊢ 1 2 3")) (list 1 2 3)) (apl-test "⍕ 42 → \"42\" (alias for ⎕FMT)" (apl-run "⍕ 42") "42") (begin (apl-test "⍸ where: indices of truthy cells" (mkrv (apl-run "⍸ 0 1 0 1 1")) (list 2 4 5)) (apl-test "⍸ where: leading truthy" (mkrv (apl-run "⍸ 1 0 0 1 1")) (list 1 4 5)) (apl-test "⍸ where: all-zero → empty" (mkrv (apl-run "⍸ 0 0 0")) (list)) (apl-test "⍸ where: all-truthy" (mkrv (apl-run "⍸ 1 1 1")) (list 1 2 3)) (apl-test "⍸ where: ⎕IO=1 (1-based)" (mkrv (apl-run "⍸ (⍳5)=3")) (list 3)) (apl-test "⍸ interval-index: 2 4 6 ⍸ 5 → 2" (mkrv (apl-run "2 4 6 ⍸ 5")) (list 2)) (apl-test "⍸ interval-index: 2 4 6 ⍸ 1 3 5 6 7 → 0 1 2 3 3" (mkrv (apl-run "2 4 6 ⍸ 1 3 5 6 7")) (list 0 1 2 3 3)) (apl-test "⍸ interval-index: ⍳5 ⍸ 3 → 3" (mkrv (apl-run "(⍳5) ⍸ 3")) (list 3)) (apl-test "⍸ interval-index: y below all → 0" (mkrv (apl-run "10 20 30 ⍸ 5")) (list 0)) (apl-test "⍸ interval-index: y above all → len breaks" (mkrv (apl-run "10 20 30 ⍸ 100")) (list 3))) (begin (apl-test "∪ unique: dedup keeps first-occurrence order" (mkrv (apl-run "∪ 1 2 1 3 2 1 4")) (list 1 2 3 4)) (apl-test "∪ unique: already-unique unchanged" (mkrv (apl-run "∪ 5 4 3 2 1")) (list 5 4 3 2 1)) (apl-test "∪ unique: scalar" (mkrv (apl-run "∪ 7")) (list 7)) (apl-test "∪ unique: string mississippi → misp" (mkrv (apl-run "∪ 'mississippi'")) (list "m" "i" "s" "p")) (apl-test "∪ union: 1 2 3 ∪ 3 4 5 → 1 2 3 4 5" (mkrv (apl-run "1 2 3 ∪ 3 4 5")) (list 1 2 3 4 5)) (apl-test "∪ union: dedups left side too" (mkrv (apl-run "1 2 1 ∪ 1 3 2")) (list 1 2 3)) (apl-test "∪ union: disjoint → catenated" (mkrv (apl-run "1 2 ∪ 3 4")) (list 1 2 3 4)) (apl-test "∩ intersection: 1 2 3 4 ∩ 2 4 6 → 2 4" (mkrv (apl-run "1 2 3 4 ∩ 2 4 6")) (list 2 4)) (apl-test "∩ intersection: disjoint → empty" (mkrv (apl-run "1 2 3 ∩ 4 5 6")) (list)) (apl-test "∩ intersection: preserves left order" (mkrv (apl-run "(⍳5) ∩ 5 3 1")) (list 1 3 5)) (apl-test "∩ intersection: identical" (mkrv (apl-run "1 2 3 ∩ 1 2 3")) (list 1 2 3)) (apl-test "∪/∩ identity: A ∪ A = ∪A" (mkrv (apl-run "1 2 1 ∪ 1 2 1")) (list 1 2))) (begin (apl-test "⊥ decode: 2 2 2 ⊥ 1 0 1 → 5" (mkrv (apl-run "2 2 2 ⊥ 1 0 1")) (list 5)) (apl-test "⊥ decode: 10 10 10 ⊥ 1 2 3 → 123" (mkrv (apl-run "10 10 10 ⊥ 1 2 3")) (list 123)) (apl-test "⊥ decode: 24 60 60 ⊥ 2 3 4 → 7384 (mixed-radix HMS)" (mkrv (apl-run "24 60 60 ⊥ 2 3 4")) (list 7384)) (apl-test "⊥ decode: scalar base 2 ⊥ 1 0 1 0 → 10" (mkrv (apl-run "2 ⊥ 1 0 1 0")) (list 10)) (apl-test "⊥ decode: 16 16 ⊥ 15 15 → 255" (mkrv (apl-run "16 16 ⊥ 15 15")) (list 255)) (apl-test "⊤ encode: 2 2 2 ⊤ 5 → 1 0 1" (mkrv (apl-run "2 2 2 ⊤ 5")) (list 1 0 1)) (apl-test "⊤ encode: 24 60 60 ⊤ 7384 → 2 3 4 (HMS)" (mkrv (apl-run "24 60 60 ⊤ 7384")) (list 2 3 4)) (apl-test "⊤ encode: 2 2 2 2 ⊤ 13 → 1 1 0 1" (mkrv (apl-run "2 2 2 2 ⊤ 13")) (list 1 1 0 1)) (apl-test "⊤ encode: 10 10 ⊤ 42 → 4 2" (mkrv (apl-run "10 10 ⊤ 42")) (list 4 2)) (apl-test "⊤ encode: round-trip B⊥(B⊤N) = N" (mkrv (apl-run "24 60 60 ⊥ 24 60 60 ⊤ 7384")) (list 7384)) (apl-test "⊥ decode: round-trip B⊤(B⊥V) = V" (mkrv (apl-run "2 2 2 ⊤ 2 2 2 ⊥ 1 0 1")) (list 1 0 1))) (begin (define mk-parts (fn (s) (map (fn (p) (get p :ravel)) (get (apl-run s) :ravel)))) (apl-test "⊆ partition: 1 1 0 1 1 ⊆ 'abcde' → ('ab' 'de')" (mk-parts "1 1 0 1 1 ⊆ 'abcde'") (list (list "a" "b") (list "d" "e"))) (apl-test "⊆ partition: 1 0 0 1 1 ⊆ ⍳5 → ((1) (4 5))" (mk-parts "1 0 0 1 1 ⊆ ⍳5") (list (list 1) (list 4 5))) (apl-test "⊆ partition: all-zero mask → empty" (len (get (apl-run "0 0 0 ⊆ 1 2 3") :ravel)) 0) (apl-test "⊆ partition: all-one mask → single partition" (mk-parts "1 1 1 ⊆ 7 8 9") (list (list 7 8 9))) (apl-test "⊆ partition: strict increase 1 2 starts new" (mk-parts "1 2 ⊆ 10 20") (list (list 10) (list 20))) (apl-test "⊆ partition: same level continues 2 2 → one partition" (mk-parts "2 2 ⊆ 10 20") (list (list 10 20))) (apl-test "⊆ partition: 0 separates" (mk-parts "1 1 0 0 1 ⊆ 1 2 3 4 5") (list (list 1 2) (list 5))) (apl-test "⊆ partition: outer length matches partition count" (len (get (apl-run "1 0 1 0 1 ⊆ ⍳5") :ravel)) 3)) (begin (apl-test "⍎ execute: ⍎ '1 + 2' → 3" (mkrv (apl-run "⍎ '1 + 2'")) (list 3)) (apl-test "⍎ execute: ⍎ '+/⍳10' → 55" (mkrv (apl-run "⍎ '+/⍳10'")) (list 55)) (apl-test "⍎ execute: ⍎ '⌈/ 1 3 9 5 7' → 9" (mkrv (apl-run "⍎ '⌈/ 1 3 9 5 7'")) (list 9)) (apl-test "⍎ execute: ⍎ '⍳5' → 1..5" (mkrv (apl-run "⍎ '⍳5'")) (list 1 2 3 4 5)) (apl-test "⍎ execute: ⍎ '×/⍳5' → 120" (mkrv (apl-run "⍎ '×/⍳5'")) (list 120)) (apl-test "⍎ execute: round-trip ⍎ ⎕FMT 42 → 42" (mkrv (apl-run "⍎ ⎕FMT 42")) (list 42)) (apl-test "⍎ execute: nested ⍎ ⍎" (mkrv (apl-run "⍎ '⍎ ''2 × 3'''")) (list 6)) (apl-test "⍎ execute: with assignment side-effect" (mkrv (apl-run "⍎ 'q ← 99 ⋄ q + 1'")) (list 100)))