{-# LANGUAGE DuplicateRecordFields #-} {-# LANGUAGE LambdaCase #-} {-# LANGUAGE RecordWildCards #-} {-# OPTIONS_GHC -Wno-name-shadowing #-} {-# OPTIONS_GHC -Wno-unused-record-wildcards #-} -- SPDX-FileCopyrightText: Copyright (c) 2025 Objectionary.com -- SPDX-License-Identifier: MIT module Dataize (morph, dataize, dataize', DataizeContext (..)) where import AST import Builder (contextualize) import Control.Exception (throwIO) import Data.List (partition) import Deps (BuildTermFunc, SaveStepFunc, Term (TeAttribute)) import Locator (locatedExpression, withLocatedExpression) import Matcher (substEmpty) import Misc import Must (Must (..)) import Rewriter (RewriteContext (RewriteContext), Rewritten, rewrite) import Rule (RuleContext (RuleContext), isNF) import Text.Printf (printf) import Yaml (ExtraArgument (ArgAttribute), normalizationRules) type Dataized = (Maybe Bytes, [Rewritten]) type Dataizable = (Expression, [Rewritten]) type Morphed = Dataizable data DataizeContext = DataizeContext { _locator :: Expression , _program :: Program , _maxDepth :: Int , _maxCycles :: Int , _depthSensitive :: Bool , _buildTerm :: BuildTermFunc , _saveStep :: SaveStepFunc } switchContext :: DataizeContext -> RewriteContext switchContext DataizeContext{..} = RewriteContext _locator _maxDepth _maxCycles _depthSensitive _buildTerm MtDisabled _saveStep maybeBinding :: (Binding -> Bool) -> [Binding] -> (Maybe Binding, [Binding]) maybeBinding _ [] = (Nothing, []) maybeBinding func bds = let (found, rest) = partition func bds in case found of [bd] -> (Just bd, rest) _ -> (Nothing, bds) maybeLambda :: [Binding] -> (Maybe Binding, [Binding]) maybeLambda = maybeBinding (\case BiLambda _ -> True; _ -> False) maybeDelta :: [Binding] -> (Maybe Binding, [Binding]) maybeDelta = maybeBinding (\case BiDelta _ -> True; _ -> False) maybePhi :: [Binding] -> (Maybe Binding, [Binding]) maybePhi = maybeBinding (\case (BiTau AtPhi _) -> True; _ -> False) -- Resolve formation for LAMBDA Morphing rule. -- If formation contains λ binding, the called atom -- result is returned. formation :: [Binding] -> DataizeContext -> IO (Maybe (Expression, String)) formation bds ctx = do let (lambda, bds') = maybeLambda bds case lambda of Just (BiLambda func) -> do obj <- atom func (ExFormation bds') ctx pure (Just (obj, "Mlambda")) _ -> pure Nothing -- Resolve dispatch from global object (Q.tau) for PHI Morphing rule. -- Here tau is the name of the attribute which is taken from Q -- and expr is expression which program refers to. -- If Q refers to formation which contains binding with attribute == tau - -- the expression from this binding is returned. phiDispatch :: String -> Expression -> Maybe (Expression, String) phiDispatch tau expr = case expr of ExFormation bds -> boundExpr bds _ -> Nothing where boundExpr :: [Binding] -> Maybe (Expression, String) boundExpr [] = Nothing boundExpr (bd : bds) = case bd of BiTau (AtLabel attr) expr' -> if attr == tau then Just (expr', "Mphi") else boundExpr bds _ -> boundExpr bds -- Resolve tail PHI and LAMBDA Morphing rules. -- Tail MUST start with dispatch, that's why most of the applications return Nothing withTail :: Expression -> DataizeContext -> IO (Maybe (Expression, String)) withTail (ExApplication (ExFormation _) _) _ = pure Nothing withTail (ExApplication expr tau) ctx = do tailed <- withTail expr ctx case tailed of Just (expr', rule) -> pure (Just (ExApplication expr' tau, rule)) _ -> pure Nothing withTail (ExDispatch (ExFormation bds) attr) ctx = do tailed <- formation bds ctx case tailed of Just (obj, rule) -> pure (Just (ExDispatch obj attr, rule)) _ -> pure Nothing withTail (ExFormation bds) ctx = formation bds ctx withTail (ExDispatch ExGlobal (AtLabel label)) DataizeContext{_program = Program expr} = pure (phiDispatch label expr) withTail (ExDispatch expr attr) ctx = do tailed <- withTail expr ctx case tailed of Just (exp, rule) -> pure (Just (ExDispatch exp attr, rule)) _ -> pure Nothing withTail _ _ = pure Nothing -- The Morphing function M: ->
maps objects to -- primitives, possibly modifying the state of evaluation. -- Terminology: -- P(e) - is e Primitive, which is either formation without λ binding or termination ⊥ -- N(e) - normalize e -- NF(e) - is e in normal form (can't be normalized anymore) -- -- PRIM: M(e) -> e if P(e) -- NMZ: M(e1) -> M(e2) if e2 := N(e1) and e1 != e2 -- LAMBDA: M([B1, λ -> F, B2] * t) -> M(e2 * t) if e3 := [B1,B2] and e2 := F(e3) -- PHI: M(Q.tau * t) -> M(e * t) if Q -> [B1, tau -> e, B2], t is tail started with dispatch -- M(e) -> ⊥ otherwise morph :: Morphed -> DataizeContext -> IO Morphed morph (expr@ExTermination, seq) ctx = do seq' <- leadsTo seq "Mprim" expr ctx -- PRIM pure (expr, seq') morph (form@(ExFormation _), seq) ctx = do resolved <- withTail form ctx case resolved of Just (expr, rule) -> do seq' <- leadsTo seq rule expr ctx -- LAMBDA or PHI morph (expr, seq') ctx _ -> do seq' <- leadsTo seq "Mprim" form ctx -- PRIM pure (form, seq') morph (expr, seq) ctx@DataizeContext{..} = do resolved <- withTail expr ctx case resolved of Just (expr', rule) -> do seq' <- leadsTo seq rule expr' ctx morph (expr', seq') ctx _ -> if isNF expr (RuleContext _buildTerm) then morph (ExTermination, seq) ctx -- PRIM else do prog' <- withLocatedExpression _locator expr _program rewrittens' <- rewrite prog' normalizationRules (switchContext ctx) -- NMZ todo let seq' = reverse rewrittens' <> tail seq expr' <- locatedExpression _locator (fst (head seq')) morph (expr', seq') ctx dataize :: DataizeContext -> IO Dataized dataize ctx@DataizeContext{..} = do expr <- locatedExpression _locator _program (maybeBytes, seq) <- dataize' (expr, [(_program, Nothing)]) ctx pure (maybeBytes, reverse seq) -- The goal of 'dataize' function is retrieve bytes from given expression. -- -- DELTA: D(e) -> data if e = [B1, Δ -> data, B2] -- BOX: D([B1, 𝜑 -> e, B2]) -> D(С(e)) if [B1,B2] has no delta/lambda, where С(e) - contextualization -- NORM: D(e1) -> D(e2) if e2 := M(e1) and e1 is not primitive -- nothing otherwise dataize' :: Dataizable -> DataizeContext -> IO Dataized dataize' (ExTermination, seq) _ = pure (Nothing, seq) dataize' (form@(ExFormation bds), seq) ctx@DataizeContext{..} = case maybeDelta bds of (Just (BiDelta bytes), _) -> pure (Just bytes, seq) (Just _, _) -> pure (Nothing, seq) (Nothing, _) -> case maybePhi bds of (Just (BiTau AtPhi expr), bds') -> case maybeLambda bds' of (Just (BiLambda _), _) -> throwIO (userError "The 𝜑 and λ can't be present in formation at the same time") (Just _, _) -> pure (Nothing, seq) (Nothing, _) -> do let expr' = contextualize expr form seq' <- leadsTo seq "contextualize" expr' ctx dataize' (expr', seq') ctx (Just _, _) -> pure (Nothing, seq) (Nothing, _) -> case maybeLambda bds of (Just (BiLambda _), _) -> morph (form, seq) ctx >>= (`dataize'` ctx) (Just _, _) -> pure (Nothing, seq) (Nothing, _) -> pure (Nothing, seq) dataize' dataizable ctx = morph dataizable ctx >>= (`dataize'` ctx) leadsTo :: [Rewritten] -> String -> Expression -> DataizeContext -> IO [Rewritten] leadsTo [] _ _ _ = throwIO (userError "Empty rewritten sequence should never met during dataization process") leadsTo ((prog, _) : rest) rule expr DataizeContext{..} = do prog' <- withLocatedExpression _locator expr prog pure ((prog', Nothing) : (prog, Just rule) : rest) -- Synthetic dataize function for internal usage inside atoms -- Here we modify original program from context by adding new binding -- which refers to expression we want to dataize. _dataize :: Expression -> DataizeContext -> IO (Maybe Bytes) _dataize expr ctx@DataizeContext{_buildTerm = buildTerm, _program = Program (ExFormation bds)} = do (TeAttribute attr) <- buildTerm "random-tau" (map ArgAttribute (attributesFromBindings bds)) substEmpty let prog = Program (ExFormation (BiTau attr expr : bds)) (bts, _) <- dataize' (expr, [(prog, Nothing)]) ctx{_program = prog} pure bts _dataize _ _ = throwIO (userError "Can't call _dataize from atoms with non-formation program") atom :: String -> Expression -> DataizeContext -> IO Expression atom "L_number_plus" self ctx = do left <- _dataize (ExDispatch self (AtLabel "x")) ctx right <- _dataize (ExDispatch self AtRho) ctx case (left, right) of (Just left', Just right') -> do let first = either toDouble id (btsToNum left') second = either toDouble id (btsToNum right') sum = first + second pure (DataNumber (numToBts sum)) _ -> pure ExTermination atom "L_number_times" self ctx = do left <- _dataize (ExDispatch self (AtLabel "x")) ctx right <- _dataize (ExDispatch self AtRho) ctx case (left, right) of (Just left', Just right') -> do let first = either toDouble id (btsToNum left') second = either toDouble id (btsToNum right') sum = first * second pure (DataNumber (numToBts sum)) _ -> pure ExTermination atom "L_number_eq" self ctx = do x <- _dataize (ExDispatch self (AtLabel "x")) ctx rho <- _dataize (ExDispatch self AtRho) ctx case (x, rho) of (Just x', Just rho') -> do let self' = either toDouble id (btsToNum rho') first = either toDouble id (btsToNum x') if self' == first then pure (DataNumber (numToBts first)) else pure (ExDispatch self (AtLabel "y")) _ -> pure ExTermination atom func _ _ = throwIO (userError (printf "Atom '%s' does not exist" func))