|
| 1 | +(declarations |
| 2 | + (def (: << (-> (-> $b $c) (-> (-> $a $b) (-> $a $c)))) |
| 3 | + (λ (f g x) (f (g x)))) |
| 4 | + |
| 5 | + (def (: ++ (-> (List $a) (-> (List $a) (List $a)))) |
| 6 | + (λ (a b) |
| 7 | + (elim-List b (λ (a1 as) (Cons a1 (++ as b))) a))) |
| 8 | + |
| 9 | + (def (: +:map (-> (-> $a $b) (-> (+ $x $a) (+ $x $b)))) |
| 10 | + (λ f (elim-+ (λ x (Left x)) (λ a (Right (f a)))))) |
| 11 | + |
| 12 | + (def (: +:map-m (-> (-> $a (+ $b $c)) (-> (List $a) (+ $b (List $c))))) |
| 13 | + (λ f |
| 14 | + (elim-List (Right Nil) |
| 15 | + (λ (hd tl) |
| 16 | + # This ugly bit is just `(:) <$> f hd <*> +:map-m f tl` |
| 17 | + (let ((f-hd (f hd))) |
| 18 | + (if~ f-hd (Left $x) |
| 19 | + f-hd |
| 20 | + (if~ f-hd (Right $x) |
| 21 | + (let ((recurs (+:map-m f tl))) |
| 22 | + (if~ recurs (Left $y) |
| 23 | + recurs |
| 24 | + (if~ recurs (Right $y) |
| 25 | + (Right (Cons x y)) |
| 26 | + (error! "impossible")))) |
| 27 | + (error! "impossible")))))))) |
| 28 | +) |
| 29 | + |
| 30 | +(declarations |
| 31 | + (def (: List:map (-> (-> $a $b) (-> (List $a) (List $b)))) |
| 32 | + (λ f |
| 33 | + (elim-List Nil (λ (hd tl) (Cons (f hd) (List:map f tl)))))) |
| 34 | + |
| 35 | + (def (: List:foldr (-> (-> $a (-> $b $b)) |
| 36 | + (-> $b |
| 37 | + (-> (List $a) |
| 38 | + $b)))) |
| 39 | + (λ (f init) |
| 40 | + (elim-List init (λ (hd tl) (f hd (List:foldr f init tl)))))) |
| 41 | +) |
| 42 | + |
| 43 | +(declarations |
| 44 | + (type (Maybe $a) Nothing (Just $a)) |
| 45 | + (def (: Maybe:map (-> (-> $a $b) (-> (Maybe $a) (Maybe $b)))) |
| 46 | + (λ f (elim-Maybe Nothing (<< Just f)))) |
| 47 | +) |
| 48 | + |
| 49 | +(declarations |
| 50 | + (type Bool False True) |
| 51 | + (defmacro if |
| 52 | + (λ ts |
| 53 | + (if~ ts (Cons $else Nil) |
| 54 | + else |
| 55 | + (if~ ts (Cons $cond (Cons $then $rest)) |
| 56 | + (STTree (» Cons (STBare "if~") |
| 57 | + cond |
| 58 | + (STBare "True") |
| 59 | + then |
| 60 | + (STTree (Cons (STBare "if") rest)) |
| 61 | + Nil)) |
| 62 | + (error! "`if` must have an odd number of args"))))) |
| 63 | +) |
| 64 | + |
| 65 | +(declarations |
| 66 | + (def (: all (-> (-> $a Bool) (-> (List $a) Bool))) |
| 67 | + (λ f |
| 68 | + (elim-List True |
| 69 | + (λ (hd tl) (if (f hd) (all f tl) False))))) |
| 70 | +) |
| 71 | + |
| 72 | + |
| 73 | +(declarations |
| 74 | + (def (: STTree-2 (-> SyntaxTree (-> SyntaxTree SyntaxTree))) |
| 75 | + (λ (a b) (STTree (» Cons a b Nil)))) |
| 76 | + (def (: STTree-3 (-> SyntaxTree (-> SyntaxTree (-> SyntaxTree SyntaxTree)))) |
| 77 | + (λ (a b c) (STTree (» Cons a b c Nil)))) |
| 78 | + |
| 79 | + (def (: quote-fun (-> SyntaxTree SyntaxTree)) |
| 80 | + (letrec |
| 81 | + ((q-bare (λ x (STTree-2 (STBare "STBare") (STString x)))) |
| 82 | + (q-string (λ x (STTree-2 (STBare "STString") (STString x)))) |
| 83 | + (q-float (λ x (STTree-2 (STBare "STFloat") (STFloat x)))) |
| 84 | + ((: q-tree (-> (List SyntaxTree) SyntaxTree)) |
| 85 | + (λ x |
| 86 | + (STTree-2 (STBare "STTree") |
| 87 | + (List:foldr (λ (hd tl) |
| 88 | + (STTree-3 (STBare "Cons") hd tl)) |
| 89 | + (STBare "Nil") |
| 90 | + (List:map quote-fun x)))))) |
| 91 | + (elim-SyntaxTree q-bare q-float q-string q-tree))) |
| 92 | + |
| 93 | + (defmacro quote |
| 94 | + (λ ts |
| 95 | + (if~ ts (Cons $t Nil) |
| 96 | + (quote-fun t) |
| 97 | + (error! "Can only quote one thing")))) |
| 98 | +) |
| 99 | + |
| 100 | +(declarations |
| 101 | + (type QQTree |
| 102 | + (QQLeaf SyntaxTree) |
| 103 | + (QQ-↑ SyntaxTree) |
| 104 | + (QQ-↑↑ SyntaxTree) |
| 105 | + (QQNode (List QQTree))) |
| 106 | + |
| 107 | + (def (: parse-QQTree (-> SyntaxTree (+ String QQTree))) |
| 108 | + (letrec (((: immediate-leaves (-> (List QQTree) (Maybe (List SyntaxTree)))) |
| 109 | + (elim-List |
| 110 | + (Just Nil) |
| 111 | + (λ (hd tl) |
| 112 | + (if~ hd (QQLeaf $t) |
| 113 | + (Maybe:map (Cons t) (immediate-leaves tl)) |
| 114 | + Nothing)))) |
| 115 | + ((: build-tree (-> (List QQTree) QQTree)) |
| 116 | + (λ qs (elim-Maybe (QQNode qs) |
| 117 | + (<< QQLeaf STTree) |
| 118 | + (immediate-leaves qs))))) |
| 119 | + (λ t |
| 120 | + (if~ t (STTree $tree) |
| 121 | + (if~ tree (Cons (STBare "↑") $rest) |
| 122 | + (if~ rest (Cons $arg Nil) |
| 123 | + (Right (QQ-↑ arg)) |
| 124 | + (Left "↑ given more than one arg")) |
| 125 | + (if~ tree (Cons (STBare "↑↑") $rest) |
| 126 | + (if~ rest (Cons $arg Nil) |
| 127 | + (Right (QQ-↑↑ arg)) |
| 128 | + (Left "↑↑ given more than one arg")) |
| 129 | + (+:map build-tree (+:map-m parse-QQTree tree)))) |
| 130 | + (Right (QQLeaf t)))))) |
| 131 | + |
| 132 | + (def (: unQQ-root (-> QQTree (+ String SyntaxTree))) |
| 133 | + (elim-QQTree |
| 134 | + (<< Right quote-fun) |
| 135 | + Right |
| 136 | + (λ _ (Left "Cannot unQQ a ↑↑ at the root")) |
| 137 | + (λ qs |
| 138 | + (elim-+ |
| 139 | + Left |
| 140 | + (λ ts |
| 141 | + (Right (STTree-2 (quote STTree) |
| 142 | + (List:foldr (λ (hd tl) |
| 143 | + (STTree-3 (quote ++) hd tl)) |
| 144 | + (quote Nil) |
| 145 | + ts)))) |
| 146 | + (+:map-m unQQ-nested qs))))) |
| 147 | + |
| 148 | + (def (: unQQ-nested (-> QQTree (+ String SyntaxTree))) |
| 149 | + (let ((st-list1 (λ x (STTree (» Cons (quote Cons) x (quote Nil) Nil))))) |
| 150 | + (elim-QQTree |
| 151 | + (» << Right st-list1 quote-fun) |
| 152 | + (<< Right st-list1) |
| 153 | + Right |
| 154 | + (λ qs |
| 155 | + (elim-+ |
| 156 | + Left |
| 157 | + (λ ts |
| 158 | + (Right (st-list1 (STTree-2 (quote STTree) |
| 159 | + (List:foldr (λ (hd tl) |
| 160 | + (STTree-3 (quote ++) hd tl)) |
| 161 | + (quote Nil) |
| 162 | + ts))))) |
| 163 | + (+:map-m unQQ-nested qs)))))) |
| 164 | + |
| 165 | + (def (: qq-fun (-> SyntaxTree (+ String SyntaxTree))) |
| 166 | + (λ t (elim-+ Left unQQ-root (parse-QQTree t)))) |
| 167 | + |
| 168 | + (defmacro qq |
| 169 | + (λ ts |
| 170 | + (if~ ts (Cons $t Nil) |
| 171 | + (elim-+ error! (λ x x) (qq-fun t)) |
| 172 | + (error! "Can only qq one thing")))) |
| 173 | +) |
| 174 | + |
| 175 | +(declarations |
| 176 | + (defmacro list |
| 177 | + (letrec ((go (elim-List |
| 178 | + (quote Nil) |
| 179 | + (λ (hd tl) |
| 180 | + (qq (Cons (↑ hd) (↑ (go tl)))))))) |
| 181 | + go)) |
| 182 | +) |
| 183 | + |
| 184 | +(declarations |
| 185 | + (defmacro if-qq |
| 186 | + (λ ts |
| 187 | + (if~ ts (Cons $else Nil) |
| 188 | + else |
| 189 | + (if~ ts (Cons $cond (Cons $then $rest)) |
| 190 | + (qq (if~ (↑ cond) True (↑ then) (if-qq (↑↑ rest)))) |
| 191 | + (error! "`if` must have an odd number of args"))))) |
| 192 | +) |
| 193 | + |
| 194 | +(list 1 (if-qq False 2 True 3 False 4 5) 3) |
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