338 lines
9.9 KiB
Haskell
338 lines
9.9 KiB
Haskell
{-# LANGUAGE OverloadedStrings #-}
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{-# LANGUAGE MultiParamTypeClasses #-}
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{-# LANGUAGE FlexibleInstances #-}
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{-# LANGUAGE DeriveGeneric #-}
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{-# LANGUAGE DeriveAnyClass #-}
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{-# LANGUAGE DerivingVia #-}
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{-# LANGUAGE UndecidableInstances #-}
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module Zenith.Tree where
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import Codec.Borsh
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import Data.HexString
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import Data.Int (Int32, Int64, Int8)
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import Data.Maybe (fromJust, isNothing)
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import qualified GHC.Generics as GHC
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import qualified Generics.SOP as SOP
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import ZcashHaskell.Orchard (combineOrchardNodes, getOrchardNodeValue)
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import ZcashHaskell.Sapling (combineSaplingNodes, getSaplingNodeValue)
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import ZcashHaskell.Types
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( MerklePath(..)
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, OrchardFrontier(..)
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, OrchardTree(..)
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, SaplingTree(..)
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)
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type Level = Int8
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maxLevel :: Level
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maxLevel = 32
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type Position = Int32
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class Monoid v =>
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Measured a v
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where
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measure :: a -> Position -> Int64 -> v
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class Node v where
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getLevel :: v -> Level
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getHash :: v -> HexString
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getPosition :: v -> Position
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getIndex :: v -> Int64
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isFull :: v -> Bool
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isMarked :: v -> Bool
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mkNode :: Level -> Position -> HexString -> v
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type OrchardCommitment = HexString
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instance Measured OrchardCommitment OrchardNode where
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measure oc p i =
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case getOrchardNodeValue (hexBytes oc) of
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Nothing -> OrchardNode 0 (hexString "00") 0 True 0 False
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Just val -> OrchardNode p val 0 True i False
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type SaplingCommitment = HexString
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instance Measured SaplingCommitment SaplingNode where
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measure sc p i =
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case getSaplingNodeValue (hexBytes sc) of
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Nothing -> SaplingNode 0 (hexString "00") 0 True 0 False
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Just val -> SaplingNode p val 0 True i False
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data Tree v
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= EmptyLeaf
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| Leaf !v
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| PrunedBranch !v
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| Branch !v !(Tree v) !(Tree v)
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| InvalidTree
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deriving stock (Eq, GHC.Generic)
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deriving anyclass (SOP.Generic, SOP.HasDatatypeInfo)
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deriving (BorshSize, ToBorsh, FromBorsh) via AsEnum (Tree v)
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instance (Node v, Show v) => Show (Tree v) where
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show EmptyLeaf = "()"
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show (Leaf v) = "(" ++ show v ++ ")"
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show (PrunedBranch v) = "{" ++ show v ++ "}"
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show (Branch s x y) =
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"<" ++ show (getHash s) ++ ">\n" ++ show x ++ "\n" ++ show y
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show InvalidTree = "InvalidTree"
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instance (Monoid v, Node v) => Semigroup (Tree v) where
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(<>) InvalidTree _ = InvalidTree
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(<>) _ InvalidTree = InvalidTree
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(<>) EmptyLeaf EmptyLeaf = PrunedBranch $ value $ branch EmptyLeaf EmptyLeaf
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(<>) EmptyLeaf x = x
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(<>) (Leaf x) EmptyLeaf = branch (Leaf x) EmptyLeaf
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(<>) (Leaf x) (Leaf y) = branch (Leaf x) (Leaf y)
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(<>) (Leaf _) Branch {} = InvalidTree
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(<>) (Leaf _) (PrunedBranch _) = InvalidTree
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(<>) (PrunedBranch x) EmptyLeaf = PrunedBranch $ x <> x
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(<>) (PrunedBranch x) (Leaf y) =
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if isFull x
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then InvalidTree
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else mkSubTree (getLevel x) (Leaf y)
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(<>) (PrunedBranch x) (Branch s t u) =
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if getLevel x == getLevel s
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then branch (PrunedBranch x) (Branch s t u)
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else InvalidTree
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(<>) (PrunedBranch x) (PrunedBranch y) = PrunedBranch $ x <> y
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(<>) (Branch s x y) EmptyLeaf =
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branch (Branch s x y) $ getEmptyRoot (getLevel s)
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(<>) (Branch s x y) (PrunedBranch w)
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| getLevel s == getLevel w = branch (Branch s x y) (PrunedBranch w)
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| otherwise = InvalidTree
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(<>) (Branch s x y) (Leaf w)
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| isFull s = Branch s x y <> mkSubTree (getLevel s) (Leaf w)
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| isFull (value x) = branch x (y <> Leaf w)
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| otherwise = branch (x <> Leaf w) y
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(<>) (Branch s x y) (Branch s1 x1 y1)
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| getLevel s == getLevel s1 = branch (Branch s x y) (Branch s1 x1 y1)
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| otherwise = InvalidTree
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value :: Monoid v => Tree v -> v
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value EmptyLeaf = mempty
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value (Leaf v) = v
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value (PrunedBranch v) = v
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value (Branch v _ _) = v
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value InvalidTree = mempty
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branch :: Monoid v => Tree v -> Tree v -> Tree v
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branch x y = Branch (value x <> value y) x y
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leaf :: Measured a v => a -> Int32 -> Int64 -> Tree v
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leaf a p i = Leaf (measure a p i)
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prunedBranch :: Monoid v => Node v => Level -> Position -> HexString -> Tree v
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prunedBranch level pos val = PrunedBranch $ mkNode level pos val
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root :: Monoid v => Node v => Tree v -> Tree v
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root tree =
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if getLevel (value tree) == maxLevel
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then tree
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else mkSubTree maxLevel tree
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getEmptyRoot :: Monoid v => Node v => Level -> Tree v
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getEmptyRoot level = iterate (\x -> x <> x) EmptyLeaf !! fromIntegral level
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append :: Monoid v => Measured a v => Node v => Tree v -> (a, Int64) -> Tree v
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append tree (n, i) = tree <> leaf n p i
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where
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p = 1 + getPosition (value tree)
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mkSubTree :: Node v => Monoid v => Level -> Tree v -> Tree v
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mkSubTree level t =
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if getLevel (value subtree) == level
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then subtree
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else mkSubTree level subtree
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where
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subtree = t <> EmptyLeaf
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path :: Monoid v => Node v => Position -> Tree v -> Maybe MerklePath
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path pos (Branch s x y) =
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if length (collectPath (Branch s x y)) /= 32
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then Nothing
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else Just $ MerklePath pos $ collectPath (Branch s x y)
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where
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collectPath :: Monoid v => Node v => Tree v -> [HexString]
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collectPath EmptyLeaf = []
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collectPath Leaf {} = []
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collectPath PrunedBranch {} = []
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collectPath InvalidTree = []
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collectPath (Branch _ j k)
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| getPosition (value k) /= 0 && getPosition (value k) < pos = []
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| getPosition (value j) < pos = collectPath k <> [getHash (value j)]
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| getPosition (value j) >= pos = collectPath j <> [getHash (value k)]
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| otherwise = []
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path _ _ = Nothing
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getNotePosition :: Monoid v => Node v => Tree v -> Int64 -> Maybe Position
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getNotePosition (Leaf x) i
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| getIndex x == i = Just $ getPosition x
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| otherwise = Nothing
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getNotePosition (Branch _ x y) i
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| getIndex (value x) >= i = getNotePosition x i
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| getIndex (value y) >= i = getNotePosition y i
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| otherwise = Nothing
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getNotePosition _ _ = Nothing
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truncateTree :: Monoid v => Node v => Tree v -> Int64 -> Tree v
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truncateTree (Branch s x y) i
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| getLevel s == 1 && getIndex (value x) == i = branch x EmptyLeaf
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| getLevel s == 1 && getIndex (value y) == i = branch x y
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| getIndex (value x) >= i =
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branch (truncateTree x i) (getEmptyRoot (getLevel s))
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| getIndex (value y) >= i = branch x (truncateTree y i)
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truncateTree x _ = x
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data SaplingNode = SaplingNode
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{ sn_position :: !Position
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, sn_value :: !HexString
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, sn_level :: !Level
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, sn_full :: !Bool
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, sn_index :: !Int64
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, sn_mark :: !Bool
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} deriving stock (Eq, GHC.Generic)
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deriving anyclass (SOP.Generic, SOP.HasDatatypeInfo)
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deriving (BorshSize, ToBorsh, FromBorsh) via AsStruct SaplingNode
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instance Semigroup SaplingNode where
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(<>) x y =
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case combineSaplingNodes (sn_level x) (sn_value x) (sn_value y) of
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Nothing -> x
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Just newHash ->
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SaplingNode
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(max (sn_position x) (sn_position y))
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newHash
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(1 + sn_level x)
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(sn_full x && sn_full y)
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(max (sn_index x) (sn_index y))
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(sn_mark x || sn_mark y)
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instance Monoid SaplingNode where
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mempty = SaplingNode 0 (hexString "00") 0 False 0 False
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mappend = (<>)
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instance Node SaplingNode where
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getLevel = sn_level
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getHash = sn_value
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getPosition = sn_position
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getIndex = sn_index
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isFull = sn_full
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isMarked = sn_mark
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mkNode l p v = SaplingNode p v l True 0 False
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instance Show SaplingNode where
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show = show . sn_value
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saplingSize :: SaplingTree -> Int64
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saplingSize tree =
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(if isNothing (st_left tree)
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then 0
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else 1) +
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(if isNothing (st_right tree)
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then 0
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else 1) +
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foldl
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(\x (i, p) ->
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case p of
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Nothing -> x + 0
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Just _ -> x + 2 ^ i)
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0
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(zip [1 ..] $ st_parents tree)
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mkSaplingTree :: SaplingTree -> Tree SaplingNode
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mkSaplingTree tree =
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foldl
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(\t (i, n) ->
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case n of
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Just n' -> prunedBranch i 0 n' <> t
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Nothing -> t <> getEmptyRoot i)
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leafRoot
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(zip [1 ..] $ st_parents tree)
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where
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leafRoot =
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case st_right tree of
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Just r' -> leaf (fromJust $ st_left tree) (pos - 1) 0 <> leaf r' pos 0
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Nothing -> leaf (fromJust $ st_left tree) pos 0 <> EmptyLeaf
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pos = fromIntegral $ saplingSize tree - 1
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-- | Orchard
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data OrchardNode = OrchardNode
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{ on_position :: !Position
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, on_value :: !HexString
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, on_level :: !Level
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, on_full :: !Bool
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, on_index :: !Int64
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, on_mark :: !Bool
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} deriving stock (Eq, GHC.Generic)
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deriving anyclass (SOP.Generic, SOP.HasDatatypeInfo)
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deriving (BorshSize, ToBorsh, FromBorsh) via AsStruct OrchardNode
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instance Semigroup OrchardNode where
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(<>) x y =
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case combineOrchardNodes
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(fromIntegral $ on_level x)
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(on_value x)
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(on_value y) of
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Nothing -> x
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Just newHash ->
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OrchardNode
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(max (on_position x) (on_position y))
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newHash
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(1 + on_level x)
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(on_full x && on_full y)
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(max (on_index x) (on_index y))
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(on_mark x || on_mark y)
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instance Monoid OrchardNode where
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mempty = OrchardNode 0 (hexString "00") 0 False 0 False
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mappend = (<>)
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instance Node OrchardNode where
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getLevel = on_level
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getHash = on_value
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getPosition = on_position
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getIndex = on_index
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isFull = on_full
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isMarked = on_mark
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mkNode l p v = OrchardNode p v l True 0 False
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instance Show OrchardNode where
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show = show . on_value
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instance Measured OrchardNode OrchardNode where
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measure o p i =
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OrchardNode p (on_value o) (on_level o) (on_full o) i (on_mark o)
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orchardSize :: OrchardTree -> Int64
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orchardSize tree =
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(if isNothing (ot_left tree)
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then 0
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else 1) +
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(if isNothing (ot_right tree)
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then 0
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else 1) +
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foldl
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(\x (i, p) ->
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case p of
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Nothing -> x + 0
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Just _ -> x + 2 ^ i)
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0
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(zip [1 ..] $ ot_parents tree)
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mkOrchardTree :: OrchardTree -> Tree OrchardNode
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mkOrchardTree tree =
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foldl
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(\t (i, n) ->
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case n of
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Just n' -> prunedBranch i 0 n' <> t
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Nothing -> t <> getEmptyRoot i)
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leafRoot
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(zip [1 ..] $ ot_parents tree)
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where
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leafRoot =
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case ot_right tree of
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Just r' -> leaf (fromJust $ ot_left tree) (pos - 1) 0 <> leaf r' pos 0
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Nothing -> leaf (fromJust $ ot_left tree) pos 0 <> EmptyLeaf
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pos = fromIntegral $ orchardSize tree - 1
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