@@ -1,15 +1,30 @@
11{-# OPTIONS_GHC -Wno-incomplete-uni-patterns #-}
22
3−module Nock (tar, hax, fas, cell, atom, Annotation (..), Noun) where
4−
5−import Data.Bits
6−import Data.Functor ((<&>))
7−import Effectful
8−import Effectful.State.Static.Local qualified as SEL
9−import GHC.Base
10−import GHC.Num
11−import GHC.Num.BigNat (bigNatAddWord#, bigNatFromWord2#)
12−import Nock.Types
3+module Nock (tar, hax, fas, cell, atom, Annotation (..), Noun, RawNoun (..)) where
4+
5+import Data.Hashable
6+import Debug.Trace (trace, traceShowId)
7+import GHC.Generics (Generic)
8+import GHC.Stack
9+import Numeric.Natural
10+import Test.QuickCheck.Arbitrary.Generic
11+
12+data Annotation = Annotation
13+ { hash :: Int
14+ }
15+ deriving stock (Show)
16+
17+atom :: Natural -> Noun
18+atom nat = Atom nat Annotation {hash = hash nat}
19+
20+cell :: Noun -> Noun -> Noun
21+cell lhs rhs =
22+ Cell
23+ lhs
24+ rhs
25+ Annotation
26+ { hash = hash ((annotation lhs).hash, (annotation rhs).hash)
27+ }
1328
1429sig :: Noun
1530sig = atom 0
@@ -17,119 +32,84 @@ sig = atom 0
1732one :: Noun
1833one = atom 1
1934
20−two :: Noun
21−two = atom 2
35+annotation :: RawNoun ann -> ann
36+annotation (Atom _ ann) = ann
37+annotation (Cell _ _ ann) = ann
2238
23−three :: Noun
24−three = atom 3
39+data RawNoun ann
40+ = Atom !Natural ann
41+ | Cell (RawNoun ann) (RawNoun ann) ann
42+ deriving stock (Generic, Show)
2543
26−four :: Noun
27−four = atom 4
44+instance Eq (RawNoun ann) where
45+ (Atom lhs _) == (Atom rhs _) = lhs == rhs
46+ (Cell lhslhs lhsrhs _) == (Cell rhslhs rhsrhs _) = lhslhs == rhslhs && lhsrhs == rhsrhs
47+ _ == _ = False
2848
29−twoThree :: Noun
30−twoThree = cell two three
49+hashEq :: Noun -> Noun -> Bool
50+hashEq (Atom lhsNat lhsAnn) (Atom rhsNat rhsAnn) =
51+ lhsAnn.hash == rhsAnn.hash && lhsNat == rhsNat
52+hashEq (Cell lhslhs lhsrhs lhsAnn) (Cell rhslhs rhsrhs rhsAnn) =
53+ lhsAnn.hash == rhsAnn.hash && hashEq lhslhs rhslhs && hashEq lhsrhs rhsrhs
54+hashEq _ _ = False
3155
32−sigOne :: Noun
33−sigOne = cell sig one
56+type Noun = RawNoun Annotation
3457
3558wut :: Noun -> Noun
3659wut Cell {} = sig
3760wut Atom {} = one
3861
3962lus :: Noun -> Noun
40−lus ~(Atom nat _) = atom $ case nat of
41− (NS n) -> case addWordC# n 1## of
42− (# l, 0# #) -> NS l
43− (# l, c #) -> NB (bigNatFromWord2# (int2Word# c) l)
44− (NB n) -> NB (bigNatAddWord# n 1##)
63+lus ~(Atom nat _) = atom (nat + 1)
4564
46−tis :: Noun -> Noun -> Eff es Noun
47−tis lhs rhs = pure $ if lhs == rhs then sig else one
65+tis :: Noun -> Noun
66+tis ~(Cell lhs rhs _) = if hashEq lhs rhs then sig else one
4867
49−fas# :: Word# -> Noun -> Noun
50−fas# lhs rhs =
68+fas :: Noun -> Noun
69+fas ~(Cell ~(Atom lhs _) rhs _) =
5170 case lhs of
52− 1## -> rhs
53− 2## -> case rhs of
54− ~(Cell lhs' _ _) -> lhs'
55− 3## -> case rhs of
71+ 1 -> rhs
72+ 2 -> case rhs of
73+ (Cell lhs' _ _) -> lhs'
74+ _ -> undefined
75+ 3 -> case rhs of
5676 ~(Cell _ rhs' _) -> rhs'
57− n ->
58− let rest = fas# (uncheckedShiftRL# n 1#) rhs
59− in case and# 1## n of
60− 1## -> fas# 3## rest
61− _ -> fas# 2## rest
62−
63−fas :: Natural -> Noun -> Noun
64−fas (NS w) rhs = fas# w rhs
65−fas n rhs =
66− let rest = fas (unsafeShiftR n 1) rhs
67− in if testBit n 0
68− then fas 3 rest
69− else fas 2 rest
70−
71−hax# :: Word# -> Noun -> Noun -> Noun
72−hax# 1## b _ = b
73−hax# n b c =
74− let a = uncheckedShiftRL# n 1#
75− in case and# n 1## of
76− 1## -> hax# a (cell (fas# (n `xor#` 1##) c) b) c
77− _ -> hax# a (cell b (fas# (n `or#` 1##) c)) c
78−
79−hax :: Natural -> Noun -> Noun -> Noun
80−hax (NS n) b c = hax# n b c
81−hax n b c =
82− let a = unsafeShiftR n 1
83− in if testBit n 0
84− then hax a (cell (fas (n - 1) c) b) c
85− else hax a (cell b (fas (n + 1) c)) c
86−
87−tar :: Noun -> Eff es Noun
88−tar ~(Cell subject ~(Cell a b _) _) = tar' a b subject
89−
90−tar' :: Noun -> Noun -> Noun -> Eff es Noun
91−tar' b c subject = case b of
92− Cell x y _ -> case c of
93− ~(Cell l k _) -> cell <$> tar' x y subject <*> tar' l k subject
94− Atom (NB _) _ -> undefined
95− Atom (NS n) _ -> case n of
96− 0## -> case c of
97− ~(Atom nat _) -> pure $ fas nat subject
98− 1## -> pure c
99− 3## -> case c of
100− ~(Cell l k _) -> wut <$> tar' l k subject
101− 4## -> case c of
102− ~(Cell l k _) -> lus <$> tar' l k subject
77+ n
78+ | n > 0 ->
79+ let (d, m) = divMod n 2
80+ in if m == 0
81+ then fas (cell (atom 2) (fas (cell (atom d) rhs)))
82+ else fas (cell (atom 3) (fas (cell (atom d) rhs)))
83+ _ -> undefined
84+
85+hax :: Noun -> Noun
86+hax ~(Cell ~(Atom n _) ~(Cell b c _) _) =
87+ let (a, m) = divMod n 2
88+ in case n of
89+ 1 -> b
90+ _ | m == 0 -> hax (cell (atom a) (cell (cell b (fas (cell (atom $ a + a + 1) c))) c))
91+ _ -> hax (cell (atom a) (cell (cell (fas (cell (atom $ a + a) c)) b) c))
92+
93+tar :: Noun -> Noun
94+tar ~(Cell a ~(Cell b c _) _) = case b of
95+ Cell x y _ -> cell (tar (cell a (cell x y))) (tar (cell a c))
96+ Atom n _ -> case n of
97+ 0 -> fas $ cell c a
98+ 1 -> c
99+ 3 -> wut $ tar $ cell a c
100+ 4 -> lus $ tar $ cell a c
103101 _ -> case c of
104− ~(Cell x ~(Cell h j _) _) -> case n of
105− 2## -> case x of
106− ~(Cell l k _) ->
107− tar' l k subject >>= \case
108− ~formula@(Cell battery ~(Cell sample _ _) _) ->
109− -- if traceShowId battery == Nock.Jets.add
110− -- then error "Found it!"
111− tar' h j subject >>= \case
112− ~(Cell u v _) -> tar' u v formula
113− 5## -> case x of
114− ~(Cell l k _) -> do
115− p <- tar' h j subject
116− q <- tar' l k subject
117− tis p q
118− 7## -> case x of
119− ~(Cell l k _) -> tar' l k subject >>= tar' h j
120− 8## -> case x of
121− ~(Cell l k _) -> do
122− p <- tar' l k subject
123− tar' h j (cell p subject)
124− 9## -> tar' h j subject >>= tar' two (cell sigOne (cell sig x))
125− 6## -> do
126− p <- tar' four (cell four x) subject
127− q <- tar' sig p twoThree
128− tar' sig q (cell h j) >>= \case
129− ~(Cell u v _) -> tar' u v subject
130− 10## -> case x of
131− ~(Cell ~(Atom b' _) ~(Cell u v _) _) -> hax b' <$> tar' u v subject <*> tar' h j subject
132− 11## -> case x of
133− Cell _ ~(Cell u v _) _ -> tar' h j subject
134− Atom _ _ -> tar' h j subject
135− _ -> undefined
102+ ~(Cell x y _) -> case n of
103+ 2 -> tar $ cell (tar $ cell a x) (tar $ cell a y)
104+ 5 -> tis $ cell (tar $ cell a x) (tar $ cell a y)
105+ 7 -> tar $ cell (tar $ cell a x) y
106+ 8 -> tar $ cell (cell (tar $ cell a x) a) y
107+ 9 -> tar $ cell (tar $ cell a y) $ cell (atom 2) (cell (cell sig one) (cell sig x))
108+ 6 -> case y of
109+ ~(Cell c' d' _) -> tar $ cell a $ tar $ cell (cell c' d') $ cell sig $ tar $ cell (cell (atom 2) (atom 3)) $ cell sig $ tar $ cell a (cell (atom 4) (cell (atom 4) x))
110+ 10 -> case x of
111+ ~(Cell b' c' _) -> hax $ cell b' $ cell (tar (cell a c')) $ tar $ cell a y
112+ 11 -> case x of
113+ Cell _ c' _ -> tar $ cell (cell (tar $ cell a c') (tar $ cell a y)) $ cell sig (atom 3)
114+ Atom _ _ -> tar $ cell a y
115+ u -> error $ show u