From b135c4fb286cc3e063b524add91d9c72787b5f90 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Thu, 20 Apr 2023 13:43:55 +0300 Subject: [PATCH 01/26] Exit with non-zero code upon a type error --- rzk/src/Rzk/Main.hs | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/rzk/src/Rzk/Main.hs b/rzk/src/Rzk/Main.hs index a120f55a8..58ec566d5 100644 --- a/rzk/src/Rzk/Main.hs +++ b/rzk/src/Rzk/Main.hs @@ -1,5 +1,6 @@ module Rzk.Main where +import System.Exit (exitFailure) import System.Environment (getArgs) import Control.Monad (forM) @@ -22,11 +23,11 @@ main = do case defaultTypeCheck (typecheckModulesWithLocation modules) of Left err -> do putStrLn "An error occurred when typechecking!" - putStrLn "Rendering type error... (this may take a few seconds)" putStrLn $ unlines [ "Type Error:" , ppTypeErrorInScopedContext' err ] + exitFailure Right () -> putStrLn "Everything is ok!" _ -> ppUsage From 3c6e5e21100999a0cae23ca031014ce11de9b1b4 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 21 Apr 2023 10:10:46 +0300 Subject: [PATCH 02/26] Remove debug.txt from repo --- rzk/debug.txt | 200 -------------------------------------------------- 1 file changed, 200 deletions(-) delete mode 100644 rzk/debug.txt diff --git a/rzk/debug.txt b/rzk/debug.txt deleted file mode 100644 index 0755b1c4d..000000000 --- a/rzk/debug.txt +++ /dev/null @@ -1,200 +0,0 @@ -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/hott/0-common.rzk -[ 1 out of 7 ] Checking #def prod -[ 2 out of 7 ] Checking #def diagonal -[ 3 out of 7 ] Checking #def composition -[ 4 out of 7 ] Checking #def triple-composition -[ 5 out of 7 ] Checking #def identity -[ 6 out of 7 ] Checking #def constant -[ 7 out of 7 ] Checking #def reindex -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/hott/1-contractible.rzk -[ 1 out of 3 ] Checking #def isContr -[ 2 out of 3 ] Checking #def contraction-center -[ 3 out of 3 ] Checking #def contracting-htpy -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/hott/2-paths.rzk -[ 1 out of 21 ] Checking #def rev -[ 2 out of 21 ] Checking #def concat -[ 3 out of 21 ] Checking #def altconcat -[ 4 out of 21 ] Checking #def refl-concat -[ 5 out of 21 ] Checking #def concat-altconcat -[ 6 out of 21 ] Checking #def altconcat-concat -[ 7 out of 21 ] Checking #def zig-zag-concat -[ 8 out of 21 ] Checking #def zag-zig-concat -[ 9 out of 21 ] Checking #def concat-right-cancel -[ 10 out of 21 ] Checking #def homotopy-concat -[ 11 out of 21 ] Checking #def concat-homotopy -[ 12 out of 21 ] Checking #def alt-triangle-rotation -[ 13 out of 21 ] Checking #def triangle-rotation -[ 14 out of 21 ] Checking #def ap -[ 15 out of 21 ] Checking #def ap-id -[ 16 out of 21 ] Checking #def ap-htpy -[ 17 out of 21 ] Checking #def ap-comp -[ 18 out of 21 ] Checking #def rev-ap-comp -[ 19 out of 21 ] Checking #def transport -[ 20 out of 21 ] Checking #def transport2 -[ 21 out of 21 ] Checking #def apd -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/hott/3-homotopies.rzk -[ 1 out of 10 ] Checking #def homotopy -[ 2 out of 10 ] Checking #def homotopy-rev -[ 3 out of 10 ] Checking #def homotopy-composition -[ 4 out of 10 ] Checking #def homotopy-postwhisker -[ 5 out of 10 ] Checking #def homotopy-prewhisker -[ 6 out of 10 ] Checking #def nat-htpy -[ 7 out of 10 ] Checking #def a-cylinder-homotopy-coherence -[ 8 out of 10 ] Checking #def another-cylinder-homotopy-coherence -[ 9 out of 10 ] Checking #def cylinder-homotopy-coherence -[ 10 out of 10 ] Checking #def rev-cylinder-homotopy-coherence -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/hott/4-equivalences.rzk -[ 1 out of 39 ] Checking #def hasSection -[ 2 out of 39 ] Checking #def hasRetraction -[ 3 out of 39 ] Checking #def isEquiv -[ 4 out of 39 ] Checking #def isEquiv-section -[ 5 out of 39 ] Checking #def isEquiv-retraction -[ 6 out of 39 ] Checking #def isEquiv-htpic-inverses -[ 7 out of 39 ] Checking #def hasInverse -[ 8 out of 39 ] Checking #def hasInverse-inverse -[ 9 out of 39 ] Checking #def hasInverse-isEquiv -[ 10 out of 39 ] Checking #def isEquiv-hasInverse -[ 11 out of 39 ] Checking #def hasInverse-retraction-composite -[ 12 out of 39 ] Checking #def hasInverse-section-composite -[ 13 out of 39 ] Checking #def hasInverse-triple-composite -[ 14 out of 39 ] Checking #def hasInverse-quintuple-composite -[ 15 out of 39 ] Checking #def isHalfAdjointEquiv -[ 16 out of 39 ] Checking #def ALTisHalfAdjointEquiv -[ 17 out of 39 ] Checking #def hasInverse-kept-htpy -[ 18 out of 39 ] Checking #def hasInverse-discarded-htpy -[ 19 out of 39 ] Checking #def hasInverse-discarded-naturality-square -[ 20 out of 39 ] Checking #def hasInverse-rev-cylinder-homotopy-coherence -[ 21 out of 39 ] Checking #def hasInverse-ap-rev-cylinder-homotopy-coherence -[ 22 out of 39 ] Checking #def hasInverse-cylinder-coherence -[ 23 out of 39 ] Checking #def hasInverse-replaced-naturality-square -[ 24 out of 39 ] Checking #def hasInverse-corrected-htpy -[ 25 out of 39 ] Checking #def hasInverse-coherence -[ 26 out of 39 ] Checking #def hasInverse-correctedhasInverse -[ 27 out of 39 ] Checking #def hasInverse-isHalfAdjointEquiv -[ 28 out of 39 ] Checking #def isEquiv-isHalfAdjointEquiv -[ 29 out of 39 ] Checking #def iff -[ 30 out of 39 ] Checking #def Eq -[ 31 out of 39 ] Checking #def sym_Eq -[ 32 out of 39 ] Checking #def compose_Eq -[ 33 out of 39 ] Checking #def compose_isEquiv -[ 34 out of 39 ] Checking #def triple_compose_Eq -[ 35 out of 39 ] Checking #def triple_compose_isEquiv -[ 36 out of 39 ] Checking #def FunExt -[ 37 out of 39 ] Checking #def funext_test -[ 38 out of 39 ] Checking #def fibered-equiv-function-iff -[ 39 out of 39 ] Checking #def fibered-equiv-function-equiv -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/hott/5-total-space.rzk -[ 1 out of 25 ] Checking #def total-space-projection -[ 2 out of 25 ] Checking #def contractible-fibers -[ 3 out of 25 ] Checking #def contractible-fibers-section -[ 4 out of 25 ] Checking #def contractible-fibers-actual-section -[ 5 out of 25 ] Checking #def contractible-fibers-section-htpy -[ 6 out of 25 ] Checking #def contractible-fibers-section-is-section -[ 7 out of 25 ] Checking #def check -[ 8 out of 25 ] Checking #def fibered-path-to-sigma-path -[ 9 out of 25 ] Checking #def contractible-fibers-retraction-htpy -[ 10 out of 25 ] Checking #def contractible-fibers-retraction -[ 11 out of 25 ] Checking #def contractible-fibers-projection-equiv -[ 12 out of 25 ] Checking #def total-path-to-base-path -[ 13 out of 25 ] Checking #def total-path-to-fibered-path -[ 14 out of 25 ] Checking #def projection-equiv-implies-inhabited-fibers -[ 15 out of 25 ] Checking #def projection-coherent-equiv-inverse -[ 16 out of 25 ] Checking #def projection-coherent-equiv-base-htpy -[ 17 out of 25 ] Checking #def projection-coherent-equiv-section -[ 18 out of 25 ] Checking #def projection-coherent-equiv-total-htpy -[ 19 out of 25 ] Checking #def projection-coherent-equiv-fibered-htpy -[ 20 out of 25 ] Checking #def projection-coherent-equiv-base-coherence -[ 21 out of 25 ] Checking #def projection-coherent-equiv-transport-coherence -[ 22 out of 25 ] Checking #def projection-coherent-equiv-fibered-contracting-htpy -[ 23 out of 25 ] Checking #def projection-coherent-equiv-contractible-fibers -[ 24 out of 25 ] Checking #def projection-equiv-contractible-fibers -[ 25 out of 25 ] Checking #def projection-theorem -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/3-simplicial-type-theory.md -[ 1 out of 11 ] Checking #def Δ¹ -[ 2 out of 11 ] Checking #def Δ² -[ 3 out of 11 ] Checking #def Δ³ -[ 4 out of 11 ] Checking #def ∂Δ¹ -[ 5 out of 11 ] Checking #def ∂Δ¹-in-Δ¹ -[ 6 out of 11 ] Checking #def ∂Δ² -[ 7 out of 11 ] Checking #def Λ -[ 8 out of 11 ] Checking #def shapeProd -[ 9 out of 11 ] Checking #def Δ¹×Δ¹ -[ 10 out of 11 ] Checking #def ∂Δ¹×Δ¹ -[ 11 out of 11 ] Checking #def Δ²×Δ¹ -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/4-extension-types.md -[ 1 out of 11 ] Checking #def extension-projection -[ 2 out of 11 ] Checking #def flip-ext-fun -[ 3 out of 11 ] Checking #def flip-ext-fun-inv -[ 4 out of 11 ] Checking #def curry-uncurry -[ 5 out of 11 ] Checking #def uncurry-opcurry -[ 6 out of 11 ] Checking #def fubini -[ 7 out of 11 ] Checking #def axiom-choice -[ 8 out of 11 ] Checking #def cofibration_composition' -[ 9 out of 11 ] Checking #def cofibration_union -[ 10 out of 11 ] Checking #def ExtExt -[ 11 out of 11 ] Checking #def fibered-equiv-extension-equiv -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/5-segal-types.md -[ 1 out of 61 ] Checking #def hom -[ 2 out of 61 ] Checking #def hom2 -[ 3 out of 61 ] Checking #def hom2-triangle -[ 4 out of 61 ] Checking #def isSegal -[ 5 out of 61 ] Checking #def Segal-comp -[ 6 out of 61 ] Checking #def Segal-comp-witness -[ 7 out of 61 ] Checking #def Segal-comp-uniqueness -[ 8 out of 61 ] Checking #def horn-restriction -[ 9 out of 61 ] Checking #def identity-identity-composition -[ 10 out of 61 ] Checking #def horn -[ 11 out of 61 ] Checking #def compositions-are-horn-fillings -[ 12 out of 61 ] Checking #def restriction-equiv -[ 13 out of 61 ] Checking #def Segal-restriction-equiv -[ 14 out of 61 ] Checking #def Segal-restriction-equiv-test -[ 15 out of 61 ] Checking #def isSegal' -[ 16 out of 61 ] Checking #def isSegal-isSegal' -[ 17 out of 61 ] Checking #def isSegal'-isSegal -[ 18 out of 61 ] Checking #def isSegal-iff-isSegal' -[ 19 out of 61 ] Checking #def Segal-function-types-function -[ 20 out of 61 ] Checking #def Segal-function-types-function' -[ 21 out of 61 ] Checking #def Segal-function-types-function-pointwise-check -[ 22 out of 61 ] Checking #def Segal-function-types-function-check -[ 23 out of 61 ] Checking #def Segal-function-types -[ 24 out of 61 ] Checking #def Segal-extension-types-function -[ 25 out of 61 ] Checking #def Segal-extension-types-function' -[ 26 out of 61 ] Checking #def Segal-extension-types-function-pointwise-check -[ 27 out of 61 ] Checking #def Segal-extension-types-function-check -[ 28 out of 61 ] Checking #def Segal-extension-types-start -[ 29 out of 61 ] Checking #def Segal-extension-types-middle -[ 30 out of 61 ] Checking #def Segal-extension-types-last -[ 31 out of 61 ] Checking #def Segal-extension-types -[ 32 out of 61 ] Checking #def arr -[ 33 out of 61 ] Checking #def Segal'-arrow-types -[ 34 out of 61 ] Checking #def Segal-arrow-types -[ 35 out of 61 ] Checking #def id-arr -[ 36 out of 61 ] Checking #def Segal-comp-id -[ 37 out of 61 ] Checking #def Segal-id-comp -[ 38 out of 61 ] Checking #def unbounded-arrow -[ 39 out of 61 ] Checking #def unfolding-square -[ 40 out of 61 ] Checking #def unfolding-square-test -[ 41 out of 61 ] Checking #def unfolding-square-another-test -[ 42 out of 61 ] Checking #def unfolding-square-yet-another-test -[ 43 out of 61 ] Checking #def unfolding-square-horn-left-test -[ 44 out of 61 ] Checking #def unfolding-square-horn-right-test -[ 45 out of 61 ] Checking #def unfolding-square-horn-combined-test -[ 46 out of 61 ] Checking #def square-to-arr-in-arr -[ 47 out of 61 ] Checking #def Segal-comp-witness-triangle -[ 48 out of 61 ] Checking #def Segal-comp-witness-square -[ 49 out of 61 ] Checking #def Segal-arr-in-arr -[ 50 out of 61 ] Checking #def Segal-horn-in-arrow -[ 51 out of 61 ] Checking #def Segal-associativity-witness -[ 52 out of 61 ] Checking #def Segal-associativity-prism -[ 53 out of 61 ] Checking #def Segal-associativity-tetrahedron -[ 54 out of 61 ] Checking #def Segal-triple-composite-also-fails -[ 55 out of 61 ] Checking #def Segal-triple-composite-fails -[ 56 out of 61 ] Checking #def Segal-triple-composite -[ 57 out of 61 ] Checking #def Segal-left-associativity-witness -[ 58 out of 61 ] Checking #def Segal-right-associativity-witness -[ 59 out of 61 ] Checking #def Segal-left-associativity -[ 60 out of 61 ] Checking #def Segal-right-associativity -[ 61 out of 61 ] Checking #def Segal-associativity -Checking module from /Users/nikolaikudasov/git/emilyriehl/yoneda/6-2cat-of-segal-types.md -[ 1 out of 2 ] Checking #def ap -[ 2 out of 2 ] Checking #def functors-pres-id From 37fed038433eedbd00d978811ddc1ab547cc2451 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 21 Apr 2023 21:04:38 +0300 Subject: [PATCH 03/26] Render SVG for simple 1D and 2D diagrams --- rzk/src/Rzk/TypeCheck.hs | 187 +++++++++++++++++++++++++++++++-------- 1 file changed, 151 insertions(+), 36 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index 76e7e49bf..be53e4a8f 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -84,8 +84,11 @@ typecheckModule (Rzk.Module _loc _lang commands) = go 1 commands term' <- typecheck (toTerm' (addParams params term)) ty' >>= whnfT >>= pure . termIsWHNF let decl = Decl name ty' (Just term') fmap (decl :) $ - localDeclPrepared decl $ - go (i + 1) moreCommands + localDeclPrepared decl $ do + Context{..} <- ask + termSVG <- if renderSVG then renderTermSVG (Pure name) else pure Nothing + maybe id trace termSVG $ do + go (i + 1) moreCommands go i (command@(Rzk.CommandPostulate _loc name params ty) : moreCommands) = traceTypeCheck Normal ("[ " <> show i <> " out of " <> show totalCommands <> " ]" @@ -328,9 +331,9 @@ data Action var | ActionUnify (TermT var) (TermT var) (TermT var) | ActionUnifyTerms (TermT var) (TermT var) | ActionInfer (Term var) - | ActionContextEntailedBy (TermT var) - | ActionContextEntails (TermT var) - | ActionContextEquiv [TermT var] + | ActionContextEntailedBy [TermT var] (TermT var) + | ActionContextEntails [TermT var] (TermT var) + | ActionContextEquiv [TermT var] [TermT var] | ActionWHNF (TermT var) | ActionNF (TermT var) | ActionCheckCoherence (TermT var, TermT var) (TermT var, TermT var) @@ -338,6 +341,16 @@ data Action var type Action' = Action Rzk.VarIdent +ppTermInContext :: Eq var => TermT var -> TypeCheck var String +ppTermInContext term = do + Context{..} <- ask + return (show (untyped (toRzkVarIdent varOrigs <$> term))) + where + vars = nub (foldMap pure term) + mapping = zip vars defaultVarIdents + toRzkVarIdent origs var = fromMaybe (Rzk.VarIdent "_") $ + join (lookup var origs) <|> lookup var mapping + ppSomeAction :: Eq var => [(var, Maybe Rzk.VarIdent)] -> Int -> Action var -> String ppSomeAction origs n action = ppAction n (toRzkVarIdent <$> action) where @@ -372,16 +385,22 @@ ppAction n = unlines . map (replicate (2 * n) ' ' <>) . \case [ "inferring type for term" , " " <> show term ] - ActionContextEntailedBy term -> - [ "checking if local context includes (is entailed by) restriction tope" + ActionContextEntailedBy ctxTopes term -> + [ "checking if local context" + , intercalate "\n" (map ((" " <>) . show . untyped) ctxTopes) + , "includes (is entailed by) restriction tope" , " " <> show (untyped term) ] - ActionContextEntails term -> - [ "checking if local context is included in (entails) the tope" + ActionContextEntails ctxTopes term -> + [ "checking if local context" + , intercalate "\n" (map ((" " <>) . show . untyped) ctxTopes) + , "is included in (entails) the tope" , " " <> show (untyped term) ] - ActionContextEquiv terms -> - [ "checking if local context is equivalent to the union of the topes" + ActionContextEquiv ctxTopes terms -> + [ "checking if local context" + , intercalate "\n" (map ((" " <>) . show . untyped) ctxTopes) + , "is equivalent to the union of the topes" , intercalate "\n" (map ((" " <>) . show . untyped) terms) ] ActionWHNF term -> @@ -448,6 +467,7 @@ data Context var = Context , location :: Maybe LocationInfo , verbosity :: Verbosity , covariance :: Covariance + , renderSVG :: Bool } deriving (Functor, Foldable) emptyContext :: Context var @@ -464,6 +484,7 @@ emptyContext = Context , location = Nothing , verbosity = Normal , covariance = Covariant + , renderSVG = True -- FIXME: make false by default } ppContext' :: Context Rzk.VarIdent -> String @@ -730,25 +751,40 @@ solveRHS topes tope = _ -> tope `elem` topes checkTope :: Eq var => TermT var -> TypeCheck var Bool -checkTope tope = performing (ActionContextEntails tope) $ do - topes' <- asks localTopesNF - tope' <- nfTope tope - return (topes' `entail` tope') +checkTope tope = do + ctxTopes <- asks localTopes + performing (ActionContextEntails ctxTopes tope) $ do + topes' <- asks localTopesNF + tope' <- nfTope tope + return (topes' `entail` tope') + +checkTopeEntails :: Eq var => TermT var -> TypeCheck var Bool +checkTopeEntails tope = do + ctxTopes <- asks localTopes + performing (ActionContextEntailedBy ctxTopes tope) $ do + contextTopes <- asks localTopesNF + restrictionTope <- nfTope tope + let contextTopesRHS = foldr topeAndT topeTopT contextTopes + return ([restrictionTope] `entail` contextTopesRHS) contextEntailedBy :: Eq var => TermT var -> TypeCheck var () -contextEntailedBy tope = performing (ActionContextEntailedBy tope) $ do - contextTopes <- asks localTopesNF - restrictionTope <- nfTope tope - let contextTopesRHS = foldr topeOrT topeBottomT contextTopes - unless ([restrictionTope] `entail` contextTopesRHS) $ - issueTypeError $ TypeErrorTopeNotSatisfied [restrictionTope] contextTopesRHS +contextEntailedBy tope = do + ctxTopes <- asks localTopes + performing (ActionContextEntailedBy ctxTopes tope) $ do + contextTopes <- asks localTopesNF + restrictionTope <- nfTope tope + let contextTopesRHS = foldr topeOrT topeBottomT contextTopes + unless ([restrictionTope] `entail` contextTopesRHS) $ + issueTypeError $ TypeErrorTopeNotSatisfied [restrictionTope] contextTopesRHS contextEntails :: Eq var => TermT var -> TypeCheck var () -contextEntails tope = performing (ActionContextEntails tope) $ do - topeIsEntailed <- checkTope tope - topes' <- asks localTopesNF - unless topeIsEntailed $ - issueTypeError $ TypeErrorTopeNotSatisfied topes' tope +contextEntails tope = do + ctxTopes <- asks localTopes + performing (ActionContextEntails ctxTopes tope) $ do + topeIsEntailed <- checkTope tope + topes' <- asks localTopesNF + unless topeIsEntailed $ + issueTypeError $ TypeErrorTopeNotSatisfied topes' tope topesEquiv :: Eq var => TermT var -> TermT var -> TypeCheck var Bool topesEquiv expected actual = performing (ActionUnifyTerms expected actual) $ do @@ -757,15 +793,17 @@ topesEquiv expected actual = performing (ActionUnifyTerms expected actual) $ do return ([expected'] `entail` actual' && [actual'] `entail` expected') contextEquiv :: Eq var => [TermT var] -> TypeCheck var () -contextEquiv topes = performing (ActionContextEquiv topes) $ do - contextTopes <- asks localTopesNF - recTopes <- mapM nfTope topes - let contextTopesRHS = foldr topeOrT topeBottomT contextTopes - recTopesRHS = foldr topeOrT topeBottomT recTopes - unless (contextTopes `entail` recTopesRHS) $ - issueTypeError $ TypeErrorTopeNotSatisfied contextTopes recTopesRHS - unless (recTopes `entail` contextTopesRHS) $ - issueTypeError $ TypeErrorTopeNotSatisfied recTopes contextTopesRHS +contextEquiv topes = do + ctxTopes <- asks localTopes + performing (ActionContextEquiv ctxTopes topes) $ do + contextTopes <- asks localTopesNF + recTopes <- mapM nfTope topes + let contextTopesRHS = foldr topeOrT topeBottomT contextTopes + recTopesRHS = foldr topeOrT topeBottomT recTopes + unless (contextTopes `entail` recTopesRHS) $ + issueTypeError $ TypeErrorTopeNotSatisfied contextTopes recTopesRHS + unless (recTopes `entail` contextTopesRHS) $ + issueTypeError $ TypeErrorTopeNotSatisfied recTopes contextTopesRHS switchVariance :: TypeCheck var a -> TypeCheck var a switchVariance = local $ \Context{..} -> Context @@ -2074,7 +2112,7 @@ infer tt = performing (ActionInfer tt) $ case tt of ret <- typeOf body' return (lambdaT (typeFunT orig ty' mtope ret) orig (Just (ty', mtope)) body') Lambda orig (Just (cube, Just tope)) body -> do - cube' <- typecheck cube universeT + cube' <- typecheck cube cubeT mapM_ checkNameShadowing orig enterScope orig cube' $ do tope' <- infer tope @@ -2153,3 +2191,80 @@ unsafeInferStandalone' t = , ppTypeErrorInScopedContext' err ] Right tt -> tt + +renderTermSVG :: Eq var => TermT var -> TypeCheck var (Maybe String) +renderTermSVG t = whnfT t >>= \case + LambdaT info orig _arg body + | TypeFunT _ _orig arg mtope _ret <- infoType info -> enterScope orig arg $ do + maybe id localTope mtope $ do + let labelOf tope f = do + checkTopeEntails tope >>= \case + False -> pure "" + True -> localTope tope $ do + body' <- whnfT body + bodyLabel <- ppTermInContext body' + let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel + pure (f bodyLabel') + case arg of + -- render (2*2 -> A) + CubeProductT _ Cube2T{} Cube2T{} -> do + let pair' (t1, t2) = topeAndT (topeEQT (firstT cube2T (Pure Z)) t1) (topeEQT (secondT cube2T (Pure Z)) t2) + x <- labelOf (pair' (cube2_0T, cube2_0T)) $ \x -> + "" <> x <> "" + y <- labelOf (pair' (cube2_0T, cube2_1T)) $ \y -> + "" <> y <> "" + z <- labelOf (pair' (cube2_1T, cube2_1T)) $ \z -> + "" <> z <> "" + w <- labelOf (pair' (cube2_1T, cube2_0T)) $ \w -> + "" <> w <> "" + + f <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_0T) $ \f -> intercalate "\n" + [ "" <> f <> "" + , "" ] + g <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_1T) $ \g -> intercalate "\n" + [ "" <> g <> "" + , "" ] + h <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_0T) $ \h -> intercalate "\n" + [ "" <> h <> "" + , "" ] + k <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_1T) $ \k -> intercalate "\n" + [ "" <> k <> "" + , "" ] + d <- labelOf (topeEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \d -> intercalate "\n" + [ "" <> d <> "" + , "" ] + + tr1 <- labelOf (topeLEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \tr1 -> intercalate "\n" + [ "" + , "" <> tr1 <> ""] + tr2 <- labelOf (topeLEQT (firstT cube2T (Pure Z)) (secondT cube2T (Pure Z))) $ \tr2 -> intercalate "\n" + [ "" + , "" <> tr2 <> ""] + + return $ Just $ unlines $ filter (not . null) + [ "" + , tr1, tr2, f, g, h, k, d, x, y, z, w + , "" + ] + + -- render an arrow + Cube2T{} -> do + x <- labelOf (topeEQT (Pure Z) cube2_0T) $ \x -> + "" <> x <> "" + y <- labelOf (topeEQT (Pure Z) cube2_1T) $ \y -> + "" <> y <> "" + f <- labelOf topeTopT $ \f -> intercalate "\n" + [ "" <> f <> "" + , "" + ] + + return $ Just $ unlines $ filter (not . null) + [ "" + , f, x, y + , "" + ] + + -- render a parametrised term + _ -> renderTermSVG body + + _t' -> return Nothing From 514ab976aa5e165fe9c774e38620d89b9014c665 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Sun, 23 Apr 2023 01:05:14 +0300 Subject: [PATCH 04/26] Render 1D and 2D via renderCube --- rzk/src/Rzk/TypeCheck.hs | 370 ++++++++++++++++++++++++++++++++------- 1 file changed, 309 insertions(+), 61 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index be53e4a8f..d0b3e794d 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -1,3 +1,4 @@ +{-# OPTIONS_GHC -fno-warn-type-defaults #-} {-# LANGUAGE LambdaCase #-} {-# LANGUAGE DeriveFoldable #-} {-# LANGUAGE DeriveFunctor #-} @@ -2197,74 +2198,321 @@ renderTermSVG t = whnfT t >>= \case LambdaT info orig _arg body | TypeFunT _ _orig arg mtope _ret <- infoType info -> enterScope orig arg $ do maybe id localTope mtope $ do - let labelOf tope f = do + let labelOf tope = do checkTopeEntails tope >>= \case - False -> pure "" + False -> pure Nothing True -> localTope tope $ do body' <- whnfT body bodyLabel <- ppTermInContext body' let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure (f bodyLabel') + pure (Just bodyLabel') case arg of - -- render (2*2 -> A) - CubeProductT _ Cube2T{} Cube2T{} -> do - let pair' (t1, t2) = topeAndT (topeEQT (firstT cube2T (Pure Z)) t1) (topeEQT (secondT cube2T (Pure Z)) t2) - x <- labelOf (pair' (cube2_0T, cube2_0T)) $ \x -> - "" <> x <> "" - y <- labelOf (pair' (cube2_0T, cube2_1T)) $ \y -> - "" <> y <> "" - z <- labelOf (pair' (cube2_1T, cube2_1T)) $ \z -> - "" <> z <> "" - w <- labelOf (pair' (cube2_1T, cube2_0T)) $ \w -> - "" <> w <> "" - - f <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_0T) $ \f -> intercalate "\n" - [ "" <> f <> "" - , "" ] - g <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_1T) $ \g -> intercalate "\n" - [ "" <> g <> "" - , "" ] - h <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_0T) $ \h -> intercalate "\n" - [ "" <> h <> "" - , "" ] - k <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_1T) $ \k -> intercalate "\n" - [ "" <> k <> "" - , "" ] - d <- labelOf (topeEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \d -> intercalate "\n" - [ "" <> d <> "" - , "" ] - - tr1 <- labelOf (topeLEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \tr1 -> intercalate "\n" - [ "" - , "" <> tr1 <> ""] - tr2 <- labelOf (topeLEQT (firstT cube2T (Pure Z)) (secondT cube2T (Pure Z))) $ \tr2 -> intercalate "\n" - [ "" - , "" <> tr2 <> ""] - - return $ Just $ unlines $ filter (not . null) - [ "" - , tr1, tr2, f, g, h, k, d, x, y, z, w - , "" - ] - - -- render an arrow - Cube2T{} -> do - x <- labelOf (topeEQT (Pure Z) cube2_0T) $ \x -> - "" <> x <> "" - y <- labelOf (topeEQT (Pure Z) cube2_1T) $ \y -> - "" <> y <> "" - f <- labelOf topeTopT $ \f -> intercalate "\n" - [ "" <> f <> "" - , "" - ] - - return $ Just $ unlines $ filter (not . null) - [ "" - , f, x, y - , "" - ] + CubeProductT _ Cube2T{} Cube2T{} -> do + let t1 = firstT cube2T (Pure Z) + t2 = secondT cube2T (Pure Z) + (===) = topeEQT + x <- labelOf (topeAndT (t1 === cube2_0T) (t2 === cube2_0T)) + y <- labelOf (topeAndT (t1 === cube2_0T) (t2 === cube2_1T)) + z <- labelOf (topeAndT (t1 === cube2_1T) (t2 === cube2_0T)) + w <- labelOf (topeAndT (t1 === cube2_1T) (t2 === cube2_1T)) + f <- labelOf (t2 === cube2_0T) + g <- labelOf (t2 === cube2_1T) + h <- labelOf (t1 === cube2_0T) + k <- labelOf (t1 === cube2_1T) + d <- labelOf (t1 === t2) + tr1 <- labelOf (topeLEQT t2 t1) + tr2 <- labelOf (topeLEQT t1 t2) + return $ Just $ renderCube defaultCamera 0 $ \case + "000" -> x + "010" -> y + "100" -> z + "110" -> w + "000-100" -> f + "010-110" -> g + "000-010" -> h + "100-110" -> k + "000-110" -> d + "000-100-110" -> tr1 + "000-010-110" -> tr2 + _ -> Nothing + + Cube2T{} -> do + x <- labelOf (topeEQT (Pure Z) cube2_0T) + y <- labelOf (topeEQT (Pure Z) cube2_1T) + f <- labelOf topeTopT + return $ Just $ renderCube defaultCamera 0 $ \case + "000" -> x + "100" -> y + "000-100" -> f + _ -> Nothing + + _ -> renderTermSVG body +-- -- render (2*2 -> A) +-- CubeProductT _ Cube2T{} Cube2T{} -> do +-- let pair' (t1, t2) = topeAndT (topeEQT (firstT cube2T (Pure Z)) t1) (topeEQT (secondT cube2T (Pure Z)) t2) +-- x <- labelOf (pair' (cube2_0T, cube2_0T)) $ \x -> +-- "" <> x <> "" +-- y <- labelOf (pair' (cube2_0T, cube2_1T)) $ \y -> +-- "" <> y <> "" +-- z <- labelOf (pair' (cube2_1T, cube2_1T)) $ \z -> +-- "" <> z <> "" +-- w <- labelOf (pair' (cube2_1T, cube2_0T)) $ \w -> +-- "" <> w <> "" +-- +-- f <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_0T) $ \f -> intercalate "\n" +-- [ "" <> f <> "" +-- , "" ] +-- g <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_1T) $ \g -> intercalate "\n" +-- [ "" <> g <> "" +-- , "" ] +-- h <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_0T) $ \h -> intercalate "\n" +-- [ "" <> h <> "" +-- , "" ] +-- k <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_1T) $ \k -> intercalate "\n" +-- [ "" <> k <> "" +-- , "" ] +-- d <- labelOf (topeEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \d -> intercalate "\n" +-- [ "" <> d <> "" +-- , "" ] +-- +-- tr1 <- labelOf (topeLEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \tr1 -> intercalate "\n" +-- [ "" +-- , "" <> tr1 <> ""] +-- tr2 <- labelOf (topeLEQT (firstT cube2T (Pure Z)) (secondT cube2T (Pure Z))) $ \tr2 -> intercalate "\n" +-- [ "" +-- , "" <> tr2 <> ""] +-- +-- return $ Just $ unlines $ filter (not . null) +-- [ "" +-- , tr1, tr2, f, g, h, k, d, x, y, z, w +-- , "" +-- ] +-- +-- -- render an arrow +-- Cube2T{} -> do +-- x <- labelOf (topeEQT (Pure Z) cube2_0T) $ \x -> +-- "" <> x <> "" +-- y <- labelOf (topeEQT (Pure Z) cube2_1T) $ \y -> +-- "" <> y <> "" +-- f <- labelOf topeTopT $ \f -> intercalate "\n" +-- [ "" <> f <> "" +-- , "" +-- ] +-- +-- return $ Just $ unlines $ filter (not . null) +-- [ "" +-- , f, x, y +-- , "" +-- ] -- render a parametrised term - _ -> renderTermSVG body _t' -> return Nothing + +type Point2D a = (a, a) +type Point3D a = (a, a, a) +type Edge3D a = (Point3D a, Point3D a) +type Face3D a = (Point3D a, Point3D a, Point3D a) +type Volume3D a = (Point3D a, Point3D a, Point3D a, Point3D a) + +data CubeCoords2D a b = CubeCoords2D + { vertices :: [(Point3D a, Point2D b)] + , edges :: [(Edge3D a, (Point2D b, Point2D b))] + , faces :: [(Face3D a, (Point2D b, Point2D b, Point2D b))] + , volumes :: [(Volume3D a, (Point2D b, Point2D b, Point2D b, Point2D b))] + } + +data Matrix3D a = Matrix3D + a a a + a a a + a a a + +data Matrix4D a = Matrix4D + a a a a + a a a a + a a a a + a a a a + +data Vector3D a = Vector3D a a a + +data Vector4D a = Vector4D a a a a + +rotateX :: Floating a => a -> Matrix3D a +rotateX theta = Matrix3D + 1 0 0 + 0 (cos theta) (- sin theta) + 0 (sin theta) (cos theta) + +rotateY :: Floating a => a -> Matrix3D a +rotateY theta = Matrix3D + (cos theta) 0 (sin theta) + 0 1 0 + (- sin theta) 0 (cos theta) + +rotateZ :: Floating a => a -> Matrix3D a +rotateZ theta = Matrix3D + (cos theta) (- sin theta) 0 + (sin theta) (cos theta) 0 + 0 0 1 + +data Camera a = Camera + { cameraPos :: Point3D a + , cameraFoV :: a + , cameraAspectRatio :: a + , cameraAngleY :: a + , cameraAngleX :: a + } + +viewRotateX :: Floating a => Camera a -> Matrix4D a +viewRotateX Camera{..} = matrix3Dto4D (rotateX cameraAngleX) + +viewRotateY :: Floating a => Camera a -> Matrix4D a +viewRotateY Camera{..} = matrix3Dto4D (rotateY cameraAngleY) + +viewTranslate :: Num a => Camera a -> Matrix4D a +viewTranslate Camera{..} = Matrix4D + 1 0 0 0 + 0 1 0 0 + 0 0 1 0 + (-x) (-y) (-z) 1 + where + (x, y, z) = cameraPos + +project2D :: Floating a => Camera a -> Matrix4D a +project2D Camera{..} = Matrix4D + (2 * n / (r - l)) 0 ((r + l) / (r - l)) 0 + 0 (2 * n / (t - b)) ((t + b) / (t - b)) 0 + 0 0 (- (f + n) / (f - n)) (- 2 * f * n / (f - n)) + 0 0 (-1) 0 + where + n = 1 + f = 2 + r = n * tan (cameraFoV / 2) + l = -r + t = r * cameraAspectRatio + b = -t + + +matrixVectorMult4D :: Num a => Matrix4D a -> Vector4D a -> Vector4D a +matrixVectorMult4D + (Matrix4D + a1 a2 a3 a4 + b1 b2 b3 b4 + c1 c2 c3 c4 + d1 d2 d3 d4) + (Vector4D a b c d) + = Vector4D a' b' c' d' + where + a' = sum (zipWith (*) [a1, b1, c1, d1] [a, b, c, d]) + b' = sum (zipWith (*) [a2, b2, c2, d2] [a, b, c, d]) + c' = sum (zipWith (*) [a3, b3, c3, d3] [a, b, c, d]) + d' = sum (zipWith (*) [a4, b4, c4, d4] [a, b, c, d]) + +matrix3Dto4D :: Num a => Matrix3D a -> Matrix4D a +matrix3Dto4D + (Matrix3D + a1 b1 c1 + a2 b2 c2 + a3 b3 c3) = Matrix4D + a1 b1 c1 0 + a2 b2 c2 0 + a3 b3 c3 0 + 0 0 0 1 + +fromAffine :: Fractional a => Vector4D a -> (Point2D a, a) +fromAffine (Vector4D a b c d) = ((x, y), zIndex) + where + x = a / d + y = b / d + zIndex = c / d + +point3Dto2D :: Floating a => Camera a -> a -> Point3D a -> (Point2D a, a) +point3Dto2D camera rotY (x, y, z) = fromAffine $ + foldr matrixVectorMult4D (Vector4D x y z 1) $ reverse + [ matrix3Dto4D (rotateY rotY) + , viewTranslate camera + , viewRotateY camera + , viewRotateX camera + , project2D camera + ] + +renderCube + :: (Floating a, Show a) + => Camera a + -> a + -> (String -> Maybe String) + -> String +renderCube camera rotY nameOf = unlines $ filter (not . null) + [ "" + , intercalate "\n" + [ " show x1 <> " " <> show y1 + <> " L " <> show x2 <> " " <> show y2 + <> " L " <> show x3 <> " " <> show y3 + <> " Z\" style=\"fill: rgb(128,128,128,0.5);\">" <> name <> "" + | (faceId, (((x1, y1), (x2, y2), (x3, y3)), _)) <- faces + , Just name <- [nameOf faceId]] + , intercalate "\n" + [ " show x1 <> "," <> show y1 <> " " <> show x2 <> "," <> show y2 + <> "\" stroke=\"black\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> name <> "" + | (edge, (((x1, y1), (x2, y2)), _)) <- edges + , Just name <- [nameOf edge]] + , intercalate "\n" + [ " show x <> "\" y=\"" <> show y <> "\">" <> name <> "" + | (v, ((x, y), _)) <- vertices + , Just name <- [nameOf v]] + , "" ] + where + vertices = + [ (show x <> show y <> show z, ((500 * x'', 500 * y''), zIndex)) + | x <- [0,1] + , y <- [0,1] + , z <- [0,1] + , let f c = 2 * fromInteger c - 1 + , let x' = f x + , let y' = f (1-y) + , let z' = f z + , let ((x'', y''), zIndex) = point3Dto2D camera rotY (x', y', z') ] + + radius = 20 + + mkEdge r (x1, y1) (x2, y2) = ((x1 + dx, y1 + dy), ((x2 - dx), (y2 - dy))) + where + d = sqrt ((x2 - x1)^2 + (y2 - y1)^2) + dx = r * (x2 - x1) / d + dy = r * (y2 - y1) / d + + scaleAround (cx, cy) s (x, y) = (cx + s * (x - cx), cy + s * (y - cy)) + + mkFace (x1, y1) (x2, y2) (x3, y3) = (p1, p2, p3) + where + cx = (x1 + x2 + x3) / 3 + cy = (y1 + y2 + y3) / 3 + p1 = scaleAround (cx, cy) 0.85 (x1, y1) + p2 = scaleAround (cx, cy) 0.85 (x2, y2) + p3 = scaleAround (cx, cy) 0.85 (x3, y3) + + edges = + [ (intercalate "-" [fromName, toName], (mkEdge radius from to, 0)) + | (fromName, (from, _)) : vs <- tails vertices + , (toName, (to, _)) <- vs + , and (zipWith (<=) fromName toName) + ] + + faces = + [ (intercalate "-" [name1, name2, name3], (mkFace v1 v2 v3, 0)) + | (name1, (v1, _)) : vs <- tails vertices + , (name2, (v2, _)) : vs' <- tails vs + , and (zipWith (<=) name1 name2) + , (name3, (v3, _)) <- vs' + , and (zipWith (<=) name2 name3) + ] + + +defaultCamera :: Floating a => Camera a +defaultCamera = Camera + { cameraPos = (0, 7, 10) + , cameraAngleY = pi + , cameraAngleX = pi/5 + , cameraFoV = pi/15 + , cameraAspectRatio = 1 + } From bc9269b1c7edf589beb7fa70e959999ad707659d Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Sun, 23 Apr 2023 02:00:19 +0300 Subject: [PATCH 05/26] Render 3D via renderCube --- rzk/src/Rzk/TypeCheck.hs | 49 +++++++++++++++++++++++++++++++++++++++- 1 file changed, 48 insertions(+), 1 deletion(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index d0b3e794d..06b13f114 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -8,7 +8,7 @@ module Rzk.TypeCheck where import Control.Applicative ((<|>)) import Control.Monad.Reader import Control.Monad.Except -import Data.List (tails, (\\), intercalate, nub) +import Data.List (tails, (\\), intercalate, nub, partition, zip4) import Data.Maybe (fromMaybe, isNothing, catMaybes, mapMaybe) import Data.Tuple (swap) @@ -2207,6 +2207,53 @@ renderTermSVG t = whnfT t >>= \case let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel pure (Just bodyLabel') case arg of + CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do + let t1 = firstT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) + t2 = secondT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) + t3 = secondT cube2T (Pure Z) + (===) = topeEQT + allVertices = mconcat <$> replicateM 3 [("0", [cube2_0T]), ("1", [cube2_1T])] + allEdges = + [ (fromId <> "-" <> toId, (from, to)) + | (fromId, from) : vs <- tails allVertices + , (toId, to) <- vs + , and (zipWith (<=) fromId toId) + ] + allFaces = + [ (v1_id <> "-" <> v2_id <> "-" <> v3_id, (v1, v2, v3)) + | (v1_id, v1) : vs <- tails allVertices + , (v2_id, v2) : vs' <- tails vs + , and (zipWith (<=) v1_id v2_id) + , (v3_id, v3) <- vs' + , and (zipWith (<=) v2_id v3_id) + ] + vertices <- catMaybes <$> sequence + [ fmap ((,) vertexId) <$> labelOf (topeAndT (topeAndT (t1 === s1) (t2 === s2)) (t3 === s3)) + | (vertexId, [s1, s2, s3]) <- allVertices ] + edges <- catMaybes <$> sequence + [ fmap ((,) edgeId) <$> labelOf (foldr topeAndT topeTopT $ concat [ + [ t' === f | (t', (f, _)) <- constant ], + [ t' === t'' | (t', _):(t'', _):_ <- tails changing ] + ]) + | (edgeId, (fs, ss)) <- allEdges + , let (constant, changing) = partition (uncurry (==) . snd) (zip [t1, t2, t3] (zip fs ss)) ] + faces <- catMaybes <$> sequence + [ fmap ((,) faceId) <$> labelOf (foldr topeAndT topeTopT $ concat [ + [ t' === s | (t', s) <- constant ], + [ t' === t'' | t':t'':_ <- tails changeFirst ], + [ t' === t'' | t':t'':_ <- tails changeSecond ], + [ topeLEQT t' t'' | t' <- changeSecond, t'' <- take 1 changeFirst ] + ]) + | (faceId, (v1, v2, v3)) <- allFaces + , let (constant, changeFirst, changeSecond) = mconcat $ flip map (zip4 [t1, t2, t3] v1 v2 v3) $ \case + (t', s1, s2, s3) + | s1 == s2 && s2 == s3 -> ([(t', s1)], [], []) + | s1 /= s2 && s2 == s3 -> ([], [t'], []) + | otherwise -> ([], [], [t']) + ] + return $ Just $ renderCube defaultCamera (pi/7) $ \obj -> + lookup obj (vertices <> edges <> faces) + CubeProductT _ Cube2T{} Cube2T{} -> do let t1 = firstT cube2T (Pure Z) t2 = secondT cube2T (Pure Z) From 57d9d68fdc93888031df5cb06ed6d1fde4072701 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Sun, 23 Apr 2023 03:01:33 +0300 Subject: [PATCH 06/26] Render 3D cube for 2*2 -> 2 -> A types --- rzk/src/Rzk/TypeCheck.hs | 252 ++++++++++++++++++--------------------- 1 file changed, 118 insertions(+), 134 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index 06b13f114..d9513e572 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2193,71 +2193,114 @@ unsafeInferStandalone' t = ] Right tt -> tt +renderTermInCubeSVG + :: Eq var + => (TermT var, TermT var, TermT var) + -> (TermT var -> TypeCheck var' (Maybe String)) + -> TypeCheck var' String +renderTermInCubeSVG (t1, t2, t3) labelOf = do + let (===) = topeEQT + allVertices = mconcat <$> replicateM 3 [("0", [cube2_0T]), ("1", [cube2_1T])] + allEdges = + [ (fromId <> "-" <> toId, (from, to)) + | (fromId, from) : vs <- tails allVertices + , (toId, to) <- vs + , and (zipWith (<=) fromId toId) + ] + allFaces = + [ (v1_id <> "-" <> v2_id <> "-" <> v3_id, (v1, v2, v3)) + | (v1_id, v1) : vs <- tails allVertices + , (v2_id, v2) : vs' <- tails vs + , and (zipWith (<=) v1_id v2_id) + , (v3_id, v3) <- vs' + , and (zipWith (<=) v2_id v3_id) + ] + vertices <- catMaybes <$> sequence + [ fmap ((,) vertexId) <$> labelOf (topeAndT (topeAndT (t1 === s1) (t2 === s2)) (t3 === s3)) + | (vertexId, [s1, s2, s3]) <- allVertices ] + edges <- catMaybes <$> sequence + [ fmap ((,) edgeId) <$> labelOf (foldr topeAndT topeTopT $ concat [ + [ t' === f | (t', (f, _)) <- constant ], + [ t' === t'' | (t', _):(t'', _):_ <- tails changing ] + ]) + | (edgeId, (fs, ss)) <- allEdges + , let (constant, changing) = partition (uncurry (==) . snd) (zip [t1, t2, t3] (zip fs ss)) ] + faces <- catMaybes <$> sequence + [ fmap ((,) faceId) <$> labelOf (foldr topeAndT topeTopT $ concat [ + [ t' === s | (t', s) <- constant ], + [ t' === t'' | t':t'':_ <- tails changeFirst ], + [ t' === t'' | t':t'':_ <- tails changeSecond ], + [ topeLEQT t' t'' | t' <- changeSecond, t'' <- take 1 changeFirst ] + ]) + | (faceId, (v1, v2, v3)) <- allFaces + , let (constant, changeFirst, changeSecond) = mconcat $ flip map (zip4 [t1, t2, t3] v1 v2 v3) $ \case + (t', s1, s2, s3) + | s1 == s2 && s2 == s3 -> ([(t', s1)], [], []) + | s1 /= s2 && s2 == s3 -> ([], [t'], []) + | otherwise -> ([], [], [t']) + ] + return $ renderCube defaultCamera (pi/7) $ \obj -> + lookup obj (vertices <> edges <> faces) + renderTermSVG :: Eq var => TermT var -> TypeCheck var (Maybe String) -renderTermSVG t = whnfT t >>= \case - LambdaT info orig _arg body - | TypeFunT _ _orig arg mtope _ret <- infoType info -> enterScope orig arg $ do - maybe id localTope mtope $ do - let labelOf tope = do - checkTopeEntails tope >>= \case - False -> pure Nothing - True -> localTope tope $ do - body' <- whnfT body - bodyLabel <- ppTermInContext body' - let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure (Just bodyLabel') - case arg of - CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do - let t1 = firstT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) - t2 = secondT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) - t3 = secondT cube2T (Pure Z) - (===) = topeEQT - allVertices = mconcat <$> replicateM 3 [("0", [cube2_0T]), ("1", [cube2_1T])] - allEdges = - [ (fromId <> "-" <> toId, (from, to)) - | (fromId, from) : vs <- tails allVertices - , (toId, to) <- vs - , and (zipWith (<=) fromId toId) - ] - allFaces = - [ (v1_id <> "-" <> v2_id <> "-" <> v3_id, (v1, v2, v3)) - | (v1_id, v1) : vs <- tails allVertices - , (v2_id, v2) : vs' <- tails vs - , and (zipWith (<=) v1_id v2_id) - , (v3_id, v3) <- vs' - , and (zipWith (<=) v2_id v3_id) - ] - vertices <- catMaybes <$> sequence - [ fmap ((,) vertexId) <$> labelOf (topeAndT (topeAndT (t1 === s1) (t2 === s2)) (t3 === s3)) - | (vertexId, [s1, s2, s3]) <- allVertices ] - edges <- catMaybes <$> sequence - [ fmap ((,) edgeId) <$> labelOf (foldr topeAndT topeTopT $ concat [ - [ t' === f | (t', (f, _)) <- constant ], - [ t' === t'' | (t', _):(t'', _):_ <- tails changing ] - ]) - | (edgeId, (fs, ss)) <- allEdges - , let (constant, changing) = partition (uncurry (==) . snd) (zip [t1, t2, t3] (zip fs ss)) ] - faces <- catMaybes <$> sequence - [ fmap ((,) faceId) <$> labelOf (foldr topeAndT topeTopT $ concat [ - [ t' === s | (t', s) <- constant ], - [ t' === t'' | t':t'':_ <- tails changeFirst ], - [ t' === t'' | t':t'':_ <- tails changeSecond ], - [ topeLEQT t' t'' | t' <- changeSecond, t'' <- take 1 changeFirst ] - ]) - | (faceId, (v1, v2, v3)) <- allFaces - , let (constant, changeFirst, changeSecond) = mconcat $ flip map (zip4 [t1, t2, t3] v1 v2 v3) $ \case - (t', s1, s2, s3) - | s1 == s2 && s2 == s3 -> ([(t', s1)], [], []) - | s1 /= s2 && s2 == s3 -> ([], [t'], []) - | otherwise -> ([], [], [t']) - ] - return $ Just $ renderCube defaultCamera (pi/7) $ \obj -> - lookup obj (vertices <> edges <> faces) - - CubeProductT _ Cube2T{} Cube2T{} -> do - let t1 = firstT cube2T (Pure Z) - t2 = secondT cube2T (Pure Z) - (===) = topeEQT +renderTermSVG t = typeOf t >>= \case + TypeFunT _ orig arg mtope ret -> enterScope orig arg $ do + maybe id localTope mtope $ do + let labelOf tope = do + checkTopeEntails tope >>= \case + False -> pure Nothing + True -> localTope tope $ do + body' <- whnfT (appT ret (S <$> t) (Pure Z)) + bodyLabel <- ppTermInContext body' + let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel + pure (Just bodyLabel') + case arg of + CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do + let t1 = firstT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) + t2 = secondT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) + t3 = secondT cube2T (Pure Z) + Just <$> renderTermInCubeSVG (t1, t2, t3) labelOf + + CubeProductT _ Cube2T{} (CubeProductT _ Cube2T{} Cube2T{}) -> do + let t1 = firstT cube2T (Pure Z) + t2 = firstT cube2T (secondT (cubeProductT cube2T cube2T) (Pure Z)) + t3 = secondT cube2T (secondT (cubeProductT cube2T cube2T) (Pure Z)) + Just <$> renderTermInCubeSVG (t1, t2, t3) labelOf + + CubeProductT _ Cube2T{} Cube2T{} -> do + let t1 = firstT cube2T (Pure Z) + t2 = secondT cube2T (Pure Z) + whnfT ret >>= \case + TypeRestrictedT _info (TypeFunT _ orig2 arg2@Cube2T{} mtope2 ret2) _rs -> enterScope orig2 arg2 $ do + maybe id localTope mtope2 $ do + let labelOf2 tope = do + checkTopeEntails tope >>= \case + False -> pure Nothing + True -> localTope tope $ do + body' <- whnfT (appT ret2 (S <$> (appT ret (S <$> t) (Pure Z))) (Pure Z)) + bodyLabel <- ppTermInContext body' + let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel + pure (Just bodyLabel') + t1' = S <$> t1 + t2' = S <$> t2 + t3 = Pure Z + Just <$> renderTermInCubeSVG (t1', t2', t3) labelOf2 + TypeFunT _ orig2 arg2@Cube2T{} mtope2 ret2 -> enterScope orig2 arg2 $ do + maybe id localTope mtope2 $ do + let labelOf2 tope = do + checkTopeEntails tope >>= \case + False -> pure Nothing + True -> localTope tope $ do + body' <- whnfT (appT ret2 (S <$> (appT ret (S <$> t) (Pure Z))) (Pure Z)) + bodyLabel <- ppTermInContext body' + let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel + pure (Just bodyLabel') + t1' = S <$> t1 + t2' = S <$> t2 + t3 = Pure Z + Just <$> renderTermInCubeSVG (t1', t2', t3) labelOf2 + _ret' -> do + let (===) = topeEQT x <- labelOf (topeAndT (t1 === cube2_0T) (t2 === cube2_0T)) y <- labelOf (topeAndT (t1 === cube2_0T) (t2 === cube2_1T)) z <- labelOf (topeAndT (t1 === cube2_1T) (t2 === cube2_0T)) @@ -2283,76 +2326,17 @@ renderTermSVG t = whnfT t >>= \case "000-010-110" -> tr2 _ -> Nothing - Cube2T{} -> do - x <- labelOf (topeEQT (Pure Z) cube2_0T) - y <- labelOf (topeEQT (Pure Z) cube2_1T) - f <- labelOf topeTopT - return $ Just $ renderCube defaultCamera 0 $ \case - "000" -> x - "100" -> y - "000-100" -> f - _ -> Nothing - - _ -> renderTermSVG body --- -- render (2*2 -> A) --- CubeProductT _ Cube2T{} Cube2T{} -> do --- let pair' (t1, t2) = topeAndT (topeEQT (firstT cube2T (Pure Z)) t1) (topeEQT (secondT cube2T (Pure Z)) t2) --- x <- labelOf (pair' (cube2_0T, cube2_0T)) $ \x -> --- "" <> x <> "" --- y <- labelOf (pair' (cube2_0T, cube2_1T)) $ \y -> --- "" <> y <> "" --- z <- labelOf (pair' (cube2_1T, cube2_1T)) $ \z -> --- "" <> z <> "" --- w <- labelOf (pair' (cube2_1T, cube2_0T)) $ \w -> --- "" <> w <> "" --- --- f <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_0T) $ \f -> intercalate "\n" --- [ "" <> f <> "" --- , "" ] --- g <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_1T) $ \g -> intercalate "\n" --- [ "" <> g <> "" --- , "" ] --- h <- labelOf (topeEQT (firstT cube2T (Pure Z)) cube2_0T) $ \h -> intercalate "\n" --- [ "" <> h <> "" --- , "" ] --- k <- labelOf (topeEQT (secondT cube2T (Pure Z)) cube2_1T) $ \k -> intercalate "\n" --- [ "" <> k <> "" --- , "" ] --- d <- labelOf (topeEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \d -> intercalate "\n" --- [ "" <> d <> "" --- , "" ] --- --- tr1 <- labelOf (topeLEQT (secondT cube2T (Pure Z)) (firstT cube2T (Pure Z))) $ \tr1 -> intercalate "\n" --- [ "" --- , "" <> tr1 <> ""] --- tr2 <- labelOf (topeLEQT (firstT cube2T (Pure Z)) (secondT cube2T (Pure Z))) $ \tr2 -> intercalate "\n" --- [ "" --- , "" <> tr2 <> ""] --- --- return $ Just $ unlines $ filter (not . null) --- [ "" --- , tr1, tr2, f, g, h, k, d, x, y, z, w --- , "" --- ] --- --- -- render an arrow --- Cube2T{} -> do --- x <- labelOf (topeEQT (Pure Z) cube2_0T) $ \x -> --- "" <> x <> "" --- y <- labelOf (topeEQT (Pure Z) cube2_1T) $ \y -> --- "" <> y <> "" --- f <- labelOf topeTopT $ \f -> intercalate "\n" --- [ "" <> f <> "" --- , "" --- ] --- --- return $ Just $ unlines $ filter (not . null) --- [ "" --- , f, x, y --- , "" --- ] + Cube2T{} -> do + x <- labelOf (topeEQT (Pure Z) cube2_0T) + y <- labelOf (topeEQT (Pure Z) cube2_1T) + f <- labelOf topeTopT + return $ Just $ renderCube defaultCamera 0 $ \case + "000" -> x + "100" -> y + "000-100" -> f + _ -> Nothing - -- render a parametrised term + _ -> renderTermSVG (appT ret (S <$> t) (Pure Z)) _t' -> return Nothing @@ -2490,7 +2474,7 @@ renderCube -> (String -> Maybe String) -> String renderCube camera rotY nameOf = unlines $ filter (not . null) - [ "" + [ "" , intercalate "\n" [ " show x1 <> " " <> show y1 <> " L " <> show x2 <> " " <> show y2 From b6689d5e1798c28b92ed5f6c687b3cbaa16f11eb Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Sun, 23 Apr 2023 12:47:21 +0300 Subject: [PATCH 07/26] Introduce RenderObjectData --- rzk/src/Rzk/TypeCheck.hs | 69 ++++++++++++++++++++++++++-------------- 1 file changed, 46 insertions(+), 23 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index d9513e572..4a10a06a1 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2193,10 +2193,18 @@ unsafeInferStandalone' t = ] Right tt -> tt +mkRenderObjectEntry :: String -> String -> String -> (String, RenderObjectData) +mkRenderObjectEntry objId objColor objLabel = (objId, objData) + where + objData = RenderObjectData + { renderObjectDataLabel = objLabel + , renderObjectDataColor = objColor + } + renderTermInCubeSVG :: Eq var => (TermT var, TermT var, TermT var) - -> (TermT var -> TypeCheck var' (Maybe String)) + -> (TermT var -> TypeCheck var' (Maybe RenderObjectData)) -> TypeCheck var' String renderTermInCubeSVG (t1, t2, t3) labelOf = do let (===) = topeEQT @@ -2216,22 +2224,23 @@ renderTermInCubeSVG (t1, t2, t3) labelOf = do , and (zipWith (<=) v2_id v3_id) ] vertices <- catMaybes <$> sequence - [ fmap ((,) vertexId) <$> labelOf (topeAndT (topeAndT (t1 === s1) (t2 === s2)) (t3 === s3)) + [ fmap (vertexId,) <$> + labelOf (topeAndT (topeAndT (t1 === s1) (t2 === s2)) (t3 === s3)) | (vertexId, [s1, s2, s3]) <- allVertices ] edges <- catMaybes <$> sequence - [ fmap ((,) edgeId) <$> labelOf (foldr topeAndT topeTopT $ concat [ - [ t' === f | (t', (f, _)) <- constant ], - [ t' === t'' | (t', _):(t'', _):_ <- tails changing ] - ]) + [ fmap (edgeId,) <$> + labelOf (foldr topeAndT topeTopT $ concat + [ [ t' === f | (t', (f, _)) <- constant ] + , [ t' === t'' | (t', _):(t'', _):_ <- tails changing ] ]) | (edgeId, (fs, ss)) <- allEdges , let (constant, changing) = partition (uncurry (==) . snd) (zip [t1, t2, t3] (zip fs ss)) ] faces <- catMaybes <$> sequence - [ fmap ((,) faceId) <$> labelOf (foldr topeAndT topeTopT $ concat [ - [ t' === s | (t', s) <- constant ], - [ t' === t'' | t':t'':_ <- tails changeFirst ], - [ t' === t'' | t':t'':_ <- tails changeSecond ], - [ topeLEQT t' t'' | t' <- changeSecond, t'' <- take 1 changeFirst ] - ]) + [ fmap (faceId,) <$> + labelOf (foldr topeAndT topeTopT $ concat + [ [ t' === s | (t', s) <- constant ] + , [ t' === t'' | t':t'':_ <- tails changeFirst ] + , [ t' === t'' | t':t'':_ <- tails changeSecond ] + , [ topeLEQT t' t'' | t' <- changeSecond, t'' <- take 1 changeFirst ] ]) | (faceId, (v1, v2, v3)) <- allFaces , let (constant, changeFirst, changeSecond) = mconcat $ flip map (zip4 [t1, t2, t3] v1 v2 v3) $ \case (t', s1, s2, s3) @@ -2253,7 +2262,10 @@ renderTermSVG t = typeOf t >>= \case body' <- whnfT (appT ret (S <$> t) (Pure Z)) bodyLabel <- ppTermInContext body' let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure (Just bodyLabel') + pure $ Just RenderObjectData + { renderObjectDataLabel = bodyLabel' + , renderObjectDataColor = "black" + } case arg of CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do let t1 = firstT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) @@ -2280,7 +2292,10 @@ renderTermSVG t = typeOf t >>= \case body' <- whnfT (appT ret2 (S <$> (appT ret (S <$> t) (Pure Z))) (Pure Z)) bodyLabel <- ppTermInContext body' let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure (Just bodyLabel') + pure $ Just RenderObjectData + { renderObjectDataLabel = bodyLabel' + , renderObjectDataColor = "black" + } t1' = S <$> t1 t2' = S <$> t2 t3 = Pure Z @@ -2294,7 +2309,10 @@ renderTermSVG t = typeOf t >>= \case body' <- whnfT (appT ret2 (S <$> (appT ret (S <$> t) (Pure Z))) (Pure Z)) bodyLabel <- ppTermInContext body' let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure (Just bodyLabel') + pure $ Just RenderObjectData + { renderObjectDataLabel = bodyLabel' + , renderObjectDataColor = "black" + } t1' = S <$> t1 t2' = S <$> t2 t3 = Pure Z @@ -2467,30 +2485,35 @@ point3Dto2D camera rotY (x, y, z) = fromAffine $ , project2D camera ] +data RenderObjectData = RenderObjectData + { renderObjectDataLabel :: String + , renderObjectDataColor :: String + } + renderCube :: (Floating a, Show a) => Camera a -> a - -> (String -> Maybe String) + -> (String -> Maybe RenderObjectData) -> String -renderCube camera rotY nameOf = unlines $ filter (not . null) +renderCube camera rotY renderDataOf = unlines $ filter (not . null) [ "" , intercalate "\n" [ " show x1 <> " " <> show y1 <> " L " <> show x2 <> " " <> show y2 <> " L " <> show x3 <> " " <> show y3 - <> " Z\" style=\"fill: rgb(128,128,128,0.5);\">" <> name <> "" + <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.5\">" <> renderObjectDataLabel <> "" | (faceId, (((x1, y1), (x2, y2), (x3, y3)), _)) <- faces - , Just name <- [nameOf faceId]] + , Just RenderObjectData{..} <- [renderDataOf faceId]] , intercalate "\n" [ " show x1 <> "," <> show y1 <> " " <> show x2 <> "," <> show y2 - <> "\" stroke=\"black\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> name <> "" + <> "\" stroke=\"" <> renderObjectDataColor <> "\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> renderObjectDataLabel <> "" | (edge, (((x1, y1), (x2, y2)), _)) <- edges - , Just name <- [nameOf edge]] + , Just RenderObjectData{..} <- [renderDataOf edge]] , intercalate "\n" - [ " show x <> "\" y=\"" <> show y <> "\">" <> name <> "" + [ " show x <> "\" y=\"" <> show y <> "\">" <> renderObjectDataLabel <> "" | (v, ((x, y), _)) <- vertices - , Just name <- [nameOf v]] + , Just RenderObjectData{..} <- [renderDataOf v]] , "" ] where vertices = From 15cf807f6c4f123f88a83cf61e4d65785d3dc72b Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Mon, 24 Apr 2023 13:58:55 +0300 Subject: [PATCH 08/26] Fix external links and Ulrik's name in the docs --- docs/docs/related/sHoTT.md | 8 ++++---- docs/docs/related/simple-topes.md | 4 ++-- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/docs/docs/related/sHoTT.md b/docs/docs/related/sHoTT.md index aecbb113d..029732444 100644 --- a/docs/docs/related/sHoTT.md +++ b/docs/docs/related/sHoTT.md @@ -1,11 +1,11 @@ # sHoTT -[sHoTT](https://github.com/fizruk/sHoTT) is a formalisation project for simplicial HoTT and ∞-categories. +sHoTT is a formalisation project for simplicial HoTT and ∞-categories. -The project is a fork of https://github.com/emilyriehl/yoneda, +The project is a fork of https://github.com/emilyriehl/yoneda, with a goal to grow and eventually include various formalisations for HoTT (e.g. HoTT book), -synthetic fibered ∞-categories from the work of Ulrich Buchholtz and Jonathan Weinberger, variations of cubical type theories, etc. +synthetic fibered ∞-categories from the work of Ulrik Buchholtz and Jonathan Weinberger, variations of cubical type theories, etc. See more details in the documentation of the project at -[https://github.com/fizruk/sHoTT](https://github.com/fizruk/sHoTT). +https://github.com/fizruk/sHoTT. diff --git a/docs/docs/related/simple-topes.md b/docs/docs/related/simple-topes.md index 9517161b7..651bb04e9 100644 --- a/docs/docs/related/simple-topes.md +++ b/docs/docs/related/simple-topes.md @@ -1,6 +1,6 @@ # simple-topes -[simple-topes](https://github.com/fizruk/simple-topes) is a playground theorem prover project for type theory with shapes that allows user-defined cubes and topes. Once stable, the project will be merged into `rzk`, extending it to a proof assistant for type theory with (user-defined) cubes, topes, and shapes. +simple-topes is a playground theorem prover project for type theory with shapes that allows user-defined cubes and topes. Once stable, the project will be merged into `rzk`, extending it to a proof assistant for type theory with (user-defined) cubes, topes, and shapes. See more details in the documentation of the project at -[https://github.com/fizruk/simple-topes](https://github.com/fizruk/simple-topes). +https://github.com/fizruk/simple-topes. From f558c781c3e6a924f9b693cbfcfe3feb28ce9f7a Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Thu, 27 Apr 2023 19:13:07 +0300 Subject: [PATCH 09/26] Render subshapes in 1D, 2D, and 3D --- rzk/src/Rzk/TypeCheck.hs | 381 +++++++++++++++++++++++---------------- 1 file changed, 230 insertions(+), 151 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index 4a10a06a1..cf4927d88 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -1,5 +1,6 @@ {-# OPTIONS_GHC -fno-warn-type-defaults #-} {-# LANGUAGE LambdaCase #-} +{-# LANGUAGE TupleSections #-} {-# LANGUAGE DeriveFoldable #-} {-# LANGUAGE DeriveFunctor #-} {-# LANGUAGE RecordWildCards #-} @@ -8,7 +9,7 @@ module Rzk.TypeCheck where import Control.Applicative ((<|>)) import Control.Monad.Reader import Control.Monad.Except -import Data.List (tails, (\\), intercalate, nub, partition, zip4) +import Data.List (tails, (\\), intercalate, nub) import Data.Maybe (fromMaybe, isNothing, catMaybes, mapMaybe) import Data.Tuple (swap) @@ -485,7 +486,7 @@ emptyContext = Context , location = Nothing , verbosity = Normal , covariance = Covariant - , renderSVG = True -- FIXME: make false by default + , renderSVG = False -- FIXME: make false by default } ppContext' :: Context Rzk.VarIdent -> String @@ -768,6 +769,12 @@ checkTopeEntails tope = do let contextTopesRHS = foldr topeAndT topeTopT contextTopes return ([restrictionTope] `entail` contextTopesRHS) +checkEntails :: Eq var => TermT var -> TermT var -> TypeCheck var Bool +checkEntails l r = do -- FIXME: add action + l' <- nfTope l + r' <- nfTope r + return ([l'] `entail` r') + contextEntailedBy :: Eq var => TermT var -> TypeCheck var () contextEntailedBy tope = do ctxTopes <- asks localTopes @@ -1531,7 +1538,7 @@ localTope tope tc = do -- A small optimisation to help unify terms faster let refine = case tope' of TopeEQT _ x y | x == y -> const tc -- no new information added! - _ | tope' `elem` localTopes -> const tc + _ | tope' `elem` localTopes -> const tc -- no new information added! | otherwise -> id refine $ do local (f tope' localTopesNF) tc @@ -2201,160 +2208,232 @@ mkRenderObjectEntry objId objColor objLabel = (objId, objData) , renderObjectDataColor = objColor } -renderTermInCubeSVG +type PointId = String +type ShapeId = [PointId] + +cube2powerT :: Int -> TermT var +cube2powerT 1 = cube2T +cube2powerT dim = cubeProductT (cube2powerT (dim - 1)) cube2T + +splits :: [a] -> [([a], [a])] +splits [] = [([], [])] +splits (x:xs) = ([], x:xs) : [ (x : before, after) | (before, after) <- splits xs ] + +verticesFrom :: [TermT var] -> [(ShapeId, TermT var)] +verticesFrom ts = combine <$> mapM mk ts + where + mk t = [("0", topeEQT t cube2_0T), ("1", topeEQT t cube2_1T)] + combine xs = ([concat (map fst xs)], foldr1 topeAndT (map snd xs)) + +subTopes2 :: Int -> TermT var -> [(ShapeId, TermT var)] +-- 1-dim +subTopes2 1 t = + [ (words "0", topeEQT t cube2_0T) + , (words "1", topeEQT t cube2_1T) + , (words "0 1", topeTopT) ] +-- 2-dim +subTopes2 2 ts = + -- vertices + [ (words "00", topeEQT t cube2_0T `topeAndT` topeEQT s cube2_0T) + , (words "01", topeEQT t cube2_0T `topeAndT` topeEQT s cube2_1T) + , (words "10", topeEQT t cube2_1T `topeAndT` topeEQT s cube2_0T) + , (words "11", topeEQT t cube2_1T `topeAndT` topeEQT s cube2_1T) + -- edges and the diagonal + , (words "00 01", topeEQT t cube2_0T) + , (words "10 11", topeEQT t cube2_1T) + , (words "00 10", topeEQT s cube2_0T) + , (words "01 11", topeEQT s cube2_1T) + , (words "00 11", topeEQT s t) + -- triangles + , (words "00 01 11", topeLEQT t s) + , (words "00 10 11", topeLEQT s t) + ] + where + t = firstT cube2T ts + s = secondT cube2T ts +-- 3-dim +subTopes2 3 t = + -- vertices + [ (words "000", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 cube2_0T `topeAndT` topeEQT t3 cube2_0T) + , (words "001", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 cube2_0T `topeAndT` topeEQT t3 cube2_1T) + , (words "010", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 cube2_1T `topeAndT` topeEQT t3 cube2_0T) + , (words "011", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 cube2_1T `topeAndT` topeEQT t3 cube2_1T) + , (words "100", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 cube2_0T `topeAndT` topeEQT t3 cube2_0T) + , (words "101", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 cube2_0T `topeAndT` topeEQT t3 cube2_1T) + , (words "110", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 cube2_1T `topeAndT` topeEQT t3 cube2_0T) + , (words "111", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 cube2_1T `topeAndT` topeEQT t3 cube2_1T) + -- edges + , (words "000 001", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 cube2_0T) + , (words "010 011", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 cube2_1T) + , (words "000 010", topeEQT t1 cube2_0T `topeAndT` topeEQT t3 cube2_0T) + , (words "001 011", topeEQT t1 cube2_0T `topeAndT` topeEQT t3 cube2_1T) + , (words "100 101", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 cube2_0T) + , (words "110 111", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 cube2_1T) + , (words "100 110", topeEQT t1 cube2_1T `topeAndT` topeEQT t3 cube2_0T) + , (words "101 111", topeEQT t1 cube2_1T `topeAndT` topeEQT t3 cube2_1T) + , (words "000 100", topeEQT t2 cube2_0T `topeAndT` topeEQT t3 cube2_0T) + , (words "001 101", topeEQT t2 cube2_0T `topeAndT` topeEQT t3 cube2_1T) + , (words "010 110", topeEQT t2 cube2_1T `topeAndT` topeEQT t3 cube2_0T) + , (words "011 111", topeEQT t2 cube2_1T `topeAndT` topeEQT t3 cube2_1T) + -- face diagonals + , (words "000 011", topeEQT t1 cube2_0T `topeAndT` topeEQT t2 t3) + , (words "100 111", topeEQT t1 cube2_1T `topeAndT` topeEQT t2 t3) + , (words "000 101", topeEQT t2 cube2_0T `topeAndT` topeEQT t1 t3) + , (words "010 111", topeEQT t2 cube2_1T `topeAndT` topeEQT t1 t3) + , (words "000 110", topeEQT t3 cube2_0T `topeAndT` topeEQT t1 t2) + , (words "001 111", topeEQT t3 cube2_1T `topeAndT` topeEQT t1 t2) + -- the long diagonal + , (words "000 111", topeEQT t3 t2 `topeAndT` topeEQT t2 t1) + -- face triangles + , (words "000 001 011", topeEQT t1 cube2_0T `topeAndT` topeLEQT t2 t3) + , (words "000 010 011", topeEQT t1 cube2_0T `topeAndT` topeLEQT t3 t2) + , (words "100 101 111", topeEQT t1 cube2_1T `topeAndT` topeLEQT t2 t3) + , (words "100 110 111", topeEQT t1 cube2_1T `topeAndT` topeLEQT t3 t2) + , (words "000 001 101", topeEQT t2 cube2_0T `topeAndT` topeLEQT t1 t3) + , (words "000 100 101", topeEQT t2 cube2_0T `topeAndT` topeLEQT t3 t1) + , (words "010 011 111", topeEQT t2 cube2_1T `topeAndT` topeLEQT t1 t3) + , (words "010 110 111", topeEQT t2 cube2_1T `topeAndT` topeLEQT t3 t1) + , (words "000 010 110", topeEQT t3 cube2_0T `topeAndT` topeLEQT t1 t2) + , (words "000 100 110", topeEQT t3 cube2_0T `topeAndT` topeLEQT t2 t1) + , (words "001 011 111", topeEQT t3 cube2_1T `topeAndT` topeLEQT t1 t2) + , (words "001 101 111", topeEQT t3 cube2_1T `topeAndT` topeLEQT t2 t1) + -- diagonal triangles + , (words "000 001 111", topeEQT t1 t2 `topeAndT` topeLEQT t2 t3) + , (words "000 010 111", topeEQT t1 t3 `topeAndT` topeLEQT t1 t2) + , (words "000 100 111", topeEQT t2 t3 `topeAndT` topeLEQT t2 t1) + , (words "000 011 111", topeLEQT t1 t2 `topeAndT` topeEQT t2 t3) + , (words "000 101 111", topeLEQT t2 t1 `topeAndT` topeEQT t1 t3) + , (words "000 110 111", topeLEQT t3 t1 `topeAndT` topeEQT t1 t2) + -- tetrahedra + , (words "000 001 011 111", topeLEQT t1 t2 `topeAndT` topeLEQT t2 t3) + , (words "000 010 011 111", topeLEQT t1 t3 `topeAndT` topeLEQT t3 t2) + , (words "000 001 101 111", topeLEQT t2 t1 `topeAndT` topeLEQT t1 t3) + , (words "000 100 101 111", topeLEQT t2 t3 `topeAndT` topeLEQT t3 t1) + , (words "000 010 110 111", topeLEQT t3 t1 `topeAndT` topeLEQT t1 t2) + , (words "000 100 110 111", topeLEQT t3 t2 `topeAndT` topeLEQT t2 t1) + ] + where + t1 = firstT cube2T (firstT (cube2powerT 2) t) + t2 = secondT cube2T (firstT (cube2powerT 2) t) + t3 = secondT cube2T t +subTopes2 dim _ = error (show dim <> " dimensions are not supported") + +cubeSubTopes :: [(ShapeId, TermT (Inc var))] +cubeSubTopes = subTopes2 3 (Pure Z) + +renderObjectsFor :: Eq var => Int -> TermT (Inc var) -> TypeCheck (Inc var) [(ShapeId, RenderObjectData)] +renderObjectsFor dim term = fmap catMaybes $ do + forM (subTopes2 dim (Pure Z)) $ \(shapeId, tope) -> do + checkTopeEntails tope >>= \case + False -> return Nothing + True -> do + label <- localTope tope (whnfT term) >>= ppTermInContext + return $ Just (shapeId, RenderObjectData + { renderObjectDataLabel = label + , renderObjectDataColor = "gray" + }) + +componentWiseEQT :: Int -> TermT var -> TermT var -> TermT var +componentWiseEQT 1 t s = topeEQT t s +componentWiseEQT 2 t s = topeAndT + (componentWiseEQT 1 (firstT cube2T t) (firstT cube2T s)) + (componentWiseEQT 1 (secondT cube2T t) (secondT cube2T s)) +componentWiseEQT 3 t s = topeAndT + (componentWiseEQT 2 (firstT (cube2powerT 2) t) (firstT (cube2powerT 2) s)) + (componentWiseEQT 1 (secondT cube2T t) (secondT cube2T s)) +componentWiseEQT dim _ _ = error ("cannot work with " <> show dim <> " dimensions") + +renderObjectsInSubShapeFor + :: forall var . Eq var + => TermT (Inc var) + -> Maybe (TermT (Inc (Inc var))) + -> TermT (Inc var) + -> (Int, TermT (Inc var)) + -> TypeCheck (Inc var) [(ShapeId, RenderObjectData)] +renderObjectsInSubShapeFor retType mtope f (dim', x) = fmap catMaybes $ do + enterScope Nothing (cube2powerT dim') $ do + maybe id localTope mtope $ do + let reduceContext + = foldr topeOrT topeBottomT + . map (foldr topeAndT topeTopT) + . map (filter (S Z `notElem`)) + . map (saturateTopes []) + . simplifyLHS + contextTopes <- asks (reduceContext . localTopesNF) + contextTopes' <- localTope (componentWiseEQT dim' (Pure Z) (S <$> x)) $ asks (reduceContext . localTopesNF) + forM (subTopes2 dim' (Pure Z)) $ \(shapeId, tope) -> do + checkEntails tope contextTopes >>= \case + False -> return Nothing + True -> do + label <- localTope tope (whnfT (appT (S <$> retType) (S <$> f) (Pure Z))) >>= ppTermInContext + color <- checkEntails tope contextTopes' >>= \case + True -> return "red" + False -> return "gray" + return $ Just (shapeId, RenderObjectData + { renderObjectDataLabel = label + , renderObjectDataColor = color + }) + +renderForSubShapeSVG :: Eq var - => (TermT var, TermT var, TermT var) - -> (TermT var -> TypeCheck var' (Maybe RenderObjectData)) - -> TypeCheck var' String -renderTermInCubeSVG (t1, t2, t3) labelOf = do - let (===) = topeEQT - allVertices = mconcat <$> replicateM 3 [("0", [cube2_0T]), ("1", [cube2_1T])] - allEdges = - [ (fromId <> "-" <> toId, (from, to)) - | (fromId, from) : vs <- tails allVertices - , (toId, to) <- vs - , and (zipWith (<=) fromId toId) - ] - allFaces = - [ (v1_id <> "-" <> v2_id <> "-" <> v3_id, (v1, v2, v3)) - | (v1_id, v1) : vs <- tails allVertices - , (v2_id, v2) : vs' <- tails vs - , and (zipWith (<=) v1_id v2_id) - , (v3_id, v3) <- vs' - , and (zipWith (<=) v2_id v3_id) - ] - vertices <- catMaybes <$> sequence - [ fmap (vertexId,) <$> - labelOf (topeAndT (topeAndT (t1 === s1) (t2 === s2)) (t3 === s3)) - | (vertexId, [s1, s2, s3]) <- allVertices ] - edges <- catMaybes <$> sequence - [ fmap (edgeId,) <$> - labelOf (foldr topeAndT topeTopT $ concat - [ [ t' === f | (t', (f, _)) <- constant ] - , [ t' === t'' | (t', _):(t'', _):_ <- tails changing ] ]) - | (edgeId, (fs, ss)) <- allEdges - , let (constant, changing) = partition (uncurry (==) . snd) (zip [t1, t2, t3] (zip fs ss)) ] - faces <- catMaybes <$> sequence - [ fmap (faceId,) <$> - labelOf (foldr topeAndT topeTopT $ concat - [ [ t' === s | (t', s) <- constant ] - , [ t' === t'' | t':t'':_ <- tails changeFirst ] - , [ t' === t'' | t':t'':_ <- tails changeSecond ] - , [ topeLEQT t' t'' | t' <- changeSecond, t'' <- take 1 changeFirst ] ]) - | (faceId, (v1, v2, v3)) <- allFaces - , let (constant, changeFirst, changeSecond) = mconcat $ flip map (zip4 [t1, t2, t3] v1 v2 v3) $ \case - (t', s1, s2, s3) - | s1 == s2 && s2 == s3 -> ([(t', s1)], [], []) - | s1 /= s2 && s2 == s3 -> ([], [t'], []) - | otherwise -> ([], [], [t']) - ] - return $ renderCube defaultCamera (pi/7) $ \obj -> - lookup obj (vertices <> edges <> faces) + => TermT (Inc var) + -> Maybe (TermT (Inc (Inc var))) + -> TermT (Inc var) + -> (Int, TermT (Inc var)) + -> TypeCheck (Inc var) String +renderForSubShapeSVG retType mtope f (dim, x) = do + objects <- renderObjectsInSubShapeFor retType mtope f (dim, x) + let objects' = map mk objects + return $ renderCube defaultCamera (if dim > 2 then (pi/7) else 0) $ \obj -> + lookup obj objects' + where + mk (shapeId, renderData) = (intercalate "-" (map fill shapeId), renderData) + fill xs = xs <> replicate (3 - length xs) '1' + +renderForSVG :: Eq var => Int -> TermT (Inc var) -> TypeCheck (Inc var) String +renderForSVG dim term = do + objects <- renderObjectsFor dim term + let objects' = map mk objects + return $ renderCube defaultCamera (if dim > 2 then (pi/7) else 0) $ \obj -> + lookup obj objects' + where + mk (shapeId, renderData) = (intercalate "-" (map fill shapeId), renderData) + fill xs = xs <> replicate (3 - length xs) '1' renderTermSVG :: Eq var => TermT var -> TypeCheck var (Maybe String) -renderTermSVG t = typeOf t >>= \case +renderTermSVG t = whnfT t >>= \t' -> typeOf t >>= \case TypeFunT _ orig arg mtope ret -> enterScope orig arg $ do - maybe id localTope mtope $ do - let labelOf tope = do - checkTopeEntails tope >>= \case - False -> pure Nothing - True -> localTope tope $ do - body' <- whnfT (appT ret (S <$> t) (Pure Z)) - bodyLabel <- ppTermInContext body' - let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure $ Just RenderObjectData - { renderObjectDataLabel = bodyLabel' - , renderObjectDataColor = "black" - } - case arg of + maybe id localTope mtope $ case t' of + LambdaT _ _orig _marg (AppT _info f x) -> + typeOf f >>= \case + TypeFunT _ _ Cube2T{} mtope2 _ret -> do + Just <$> renderForSubShapeSVG ret mtope2 f (1, x) + TypeFunT _ _ (CubeProductT _ Cube2T{} Cube2T{}) mtope2 _ret -> do + Just <$> renderForSubShapeSVG ret mtope2 f (2, x) + TypeFunT _ _ (CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{}) mtope2 _ret -> do + Just <$> renderForSubShapeSVG ret mtope2 f (3, x) + -- TODO: remove code duplication + _ -> case arg of + CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do + Just <$> renderForSVG 3 (appT ret (S <$> t') (Pure Z)) + CubeProductT _ Cube2T{} (CubeProductT _ Cube2T{} Cube2T{}) -> do + return Nothing -- FIXME: support + CubeProductT _ Cube2T{} Cube2T{} -> do + Just <$> renderForSVG 2 (appT ret (S <$> t') (Pure Z)) + Cube2T{} -> do + Just <$> renderForSVG 1 (appT ret (S <$> t') (Pure Z)) + _ -> renderTermSVG (appT ret (S <$> t') (Pure Z)) + -- TODO: remove code duplication + _ -> case arg of CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do - let t1 = firstT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) - t2 = secondT cube2T (firstT (cubeProductT cube2T cube2T) (Pure Z)) - t3 = secondT cube2T (Pure Z) - Just <$> renderTermInCubeSVG (t1, t2, t3) labelOf - + Just <$> renderForSVG 3 (appT ret (S <$> t') (Pure Z)) CubeProductT _ Cube2T{} (CubeProductT _ Cube2T{} Cube2T{}) -> do - let t1 = firstT cube2T (Pure Z) - t2 = firstT cube2T (secondT (cubeProductT cube2T cube2T) (Pure Z)) - t3 = secondT cube2T (secondT (cubeProductT cube2T cube2T) (Pure Z)) - Just <$> renderTermInCubeSVG (t1, t2, t3) labelOf - + return Nothing -- FIXME: support CubeProductT _ Cube2T{} Cube2T{} -> do - let t1 = firstT cube2T (Pure Z) - t2 = secondT cube2T (Pure Z) - whnfT ret >>= \case - TypeRestrictedT _info (TypeFunT _ orig2 arg2@Cube2T{} mtope2 ret2) _rs -> enterScope orig2 arg2 $ do - maybe id localTope mtope2 $ do - let labelOf2 tope = do - checkTopeEntails tope >>= \case - False -> pure Nothing - True -> localTope tope $ do - body' <- whnfT (appT ret2 (S <$> (appT ret (S <$> t) (Pure Z))) (Pure Z)) - bodyLabel <- ppTermInContext body' - let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure $ Just RenderObjectData - { renderObjectDataLabel = bodyLabel' - , renderObjectDataColor = "black" - } - t1' = S <$> t1 - t2' = S <$> t2 - t3 = Pure Z - Just <$> renderTermInCubeSVG (t1', t2', t3) labelOf2 - TypeFunT _ orig2 arg2@Cube2T{} mtope2 ret2 -> enterScope orig2 arg2 $ do - maybe id localTope mtope2 $ do - let labelOf2 tope = do - checkTopeEntails tope >>= \case - False -> pure Nothing - True -> localTope tope $ do - body' <- whnfT (appT ret2 (S <$> (appT ret (S <$> t) (Pure Z))) (Pure Z)) - bodyLabel <- ppTermInContext body' - let bodyLabel' = if length bodyLabel > 10 then take 7 bodyLabel <> "..." else bodyLabel - pure $ Just RenderObjectData - { renderObjectDataLabel = bodyLabel' - , renderObjectDataColor = "black" - } - t1' = S <$> t1 - t2' = S <$> t2 - t3 = Pure Z - Just <$> renderTermInCubeSVG (t1', t2', t3) labelOf2 - _ret' -> do - let (===) = topeEQT - x <- labelOf (topeAndT (t1 === cube2_0T) (t2 === cube2_0T)) - y <- labelOf (topeAndT (t1 === cube2_0T) (t2 === cube2_1T)) - z <- labelOf (topeAndT (t1 === cube2_1T) (t2 === cube2_0T)) - w <- labelOf (topeAndT (t1 === cube2_1T) (t2 === cube2_1T)) - f <- labelOf (t2 === cube2_0T) - g <- labelOf (t2 === cube2_1T) - h <- labelOf (t1 === cube2_0T) - k <- labelOf (t1 === cube2_1T) - d <- labelOf (t1 === t2) - tr1 <- labelOf (topeLEQT t2 t1) - tr2 <- labelOf (topeLEQT t1 t2) - return $ Just $ renderCube defaultCamera 0 $ \case - "000" -> x - "010" -> y - "100" -> z - "110" -> w - "000-100" -> f - "010-110" -> g - "000-010" -> h - "100-110" -> k - "000-110" -> d - "000-100-110" -> tr1 - "000-010-110" -> tr2 - _ -> Nothing - + Just <$> renderForSVG 2 (appT ret (S <$> t') (Pure Z)) Cube2T{} -> do - x <- labelOf (topeEQT (Pure Z) cube2_0T) - y <- labelOf (topeEQT (Pure Z) cube2_1T) - f <- labelOf topeTopT - return $ Just $ renderCube defaultCamera 0 $ \case - "000" -> x - "100" -> y - "000-100" -> f - _ -> Nothing - - _ -> renderTermSVG (appT ret (S <$> t) (Pure Z)) + Just <$> renderForSVG 1 (appT ret (S <$> t') (Pure Z)) + _ -> renderTermSVG (appT ret (S <$> t') (Pure Z)) _t' -> return Nothing @@ -2502,7 +2581,7 @@ renderCube camera rotY renderDataOf = unlines $ filter (not . null) [ " show x1 <> " " <> show y1 <> " L " <> show x2 <> " " <> show y2 <> " L " <> show x3 <> " " <> show y3 - <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.5\">" <> renderObjectDataLabel <> "" + <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.2\">" <> renderObjectDataLabel <> "" | (faceId, (((x1, y1), (x2, y2), (x3, y3)), _)) <- faces , Just RenderObjectData{..} <- [renderDataOf faceId]] , intercalate "\n" @@ -2511,7 +2590,7 @@ renderCube camera rotY renderDataOf = unlines $ filter (not . null) | (edge, (((x1, y1), (x2, y2)), _)) <- edges , Just RenderObjectData{..} <- [renderDataOf edge]] , intercalate "\n" - [ " show x <> "\" y=\"" <> show y <> "\">" <> renderObjectDataLabel <> "" + [ " show x <> "\" y=\"" <> show y <> "\" fill=\"" <> renderObjectDataColor <> "\">" <> renderObjectDataLabel <> "" | (v, ((x, y), _)) <- vertices , Just RenderObjectData{..} <- [renderDataOf v]] , "" ] From 1854d862770ecf39d687a1511e147cdc00442cf1 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Thu, 27 Apr 2023 23:21:50 +0300 Subject: [PATCH 10/26] Refactor rendering, support curried functions --- rzk/src/Rzk/TypeCheck.hs | 189 ++++++++++++++++++++++++--------------- 1 file changed, 116 insertions(+), 73 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index cf4927d88..c259c85e3 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -486,7 +486,7 @@ emptyContext = Context , location = Nothing , verbosity = Normal , covariance = Covariant - , renderSVG = False -- FIXME: make false by default + , renderSVG = True -- FIXME: make false by default } ppContext' :: Context Rzk.VarIdent -> String @@ -2321,9 +2321,14 @@ subTopes2 dim _ = error (show dim <> " dimensions are not supported") cubeSubTopes :: [(ShapeId, TermT (Inc var))] cubeSubTopes = subTopes2 3 (Pure Z) -renderObjectsFor :: Eq var => Int -> TermT (Inc var) -> TypeCheck (Inc var) [(ShapeId, RenderObjectData)] -renderObjectsFor dim term = fmap catMaybes $ do - forM (subTopes2 dim (Pure Z)) $ \(shapeId, tope) -> do +renderObjectsFor + :: Eq var + => Int + -> TermT var + -> TermT var + -> TypeCheck var [(ShapeId, RenderObjectData)] +renderObjectsFor dim t term = fmap catMaybes $ do + forM (subTopes2 dim t) $ \(shapeId, tope) -> do checkTopeEntails tope >>= \case False -> return Nothing True -> do @@ -2344,45 +2349,47 @@ componentWiseEQT 3 t s = topeAndT componentWiseEQT dim _ _ = error ("cannot work with " <> show dim <> " dimensions") renderObjectsInSubShapeFor - :: forall var . Eq var - => TermT (Inc var) - -> Maybe (TermT (Inc (Inc var))) - -> TermT (Inc var) - -> (Int, TermT (Inc var)) - -> TypeCheck (Inc var) [(ShapeId, RenderObjectData)] -renderObjectsInSubShapeFor retType mtope f (dim', x) = fmap catMaybes $ do - enterScope Nothing (cube2powerT dim') $ do - maybe id localTope mtope $ do - let reduceContext - = foldr topeOrT topeBottomT - . map (foldr topeAndT topeTopT) - . map (filter (S Z `notElem`)) - . map (saturateTopes []) - . simplifyLHS - contextTopes <- asks (reduceContext . localTopesNF) - contextTopes' <- localTope (componentWiseEQT dim' (Pure Z) (S <$> x)) $ asks (reduceContext . localTopesNF) - forM (subTopes2 dim' (Pure Z)) $ \(shapeId, tope) -> do - checkEntails tope contextTopes >>= \case - False -> return Nothing - True -> do - label <- localTope tope (whnfT (appT (S <$> retType) (S <$> f) (Pure Z))) >>= ppTermInContext - color <- checkEntails tope contextTopes' >>= \case - True -> return "red" - False -> return "gray" - return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = label - , renderObjectDataColor = color - }) + :: Eq var + => Int + -> [var] + -> var + -> TermT var + -> TermT var + -> TermT var + -> TypeCheck var [(ShapeId, RenderObjectData)] +renderObjectsInSubShapeFor dim sub super retType f x = fmap catMaybes $ do + let reduceContext + = foldr topeOrT topeBottomT + . map (foldr topeAndT topeTopT) + . map (filter (\tope -> all (`notElem` tope) sub)) + . map (saturateTopes []) + . simplifyLHS + contextTopes <- asks (reduceContext . localTopesNF) + contextTopes' <- localTope (componentWiseEQT dim (Pure super) x) $ asks (reduceContext . localTopesNF) + forM (subTopes2 dim (Pure super)) $ \(shapeId, tope) -> do + checkEntails tope contextTopes >>= \case + False -> return Nothing + True -> do + label <- localTope tope (whnfT (appT retType f (Pure super))) >>= ppTermInContext + color <- checkEntails tope contextTopes' >>= \case + True -> return "red" + False -> return "gray" + return $ Just (shapeId, RenderObjectData + { renderObjectDataLabel = label + , renderObjectDataColor = color + }) renderForSubShapeSVG :: Eq var - => TermT (Inc var) - -> Maybe (TermT (Inc (Inc var))) - -> TermT (Inc var) - -> (Int, TermT (Inc var)) - -> TypeCheck (Inc var) String -renderForSubShapeSVG retType mtope f (dim, x) = do - objects <- renderObjectsInSubShapeFor retType mtope f (dim, x) + => Int + -> [var] + -> var + -> TermT var + -> TermT var + -> TermT var + -> TypeCheck var String +renderForSubShapeSVG dim sub super retType f x = do + objects <- renderObjectsInSubShapeFor dim sub super retType f x let objects' = map mk objects return $ renderCube defaultCamera (if dim > 2 then (pi/7) else 0) $ \obj -> lookup obj objects' @@ -2390,9 +2397,9 @@ renderForSubShapeSVG retType mtope f (dim, x) = do mk (shapeId, renderData) = (intercalate "-" (map fill shapeId), renderData) fill xs = xs <> replicate (3 - length xs) '1' -renderForSVG :: Eq var => Int -> TermT (Inc var) -> TypeCheck (Inc var) String -renderForSVG dim term = do - objects <- renderObjectsFor dim term +renderForSVG :: Eq var => Int -> TermT var -> TermT var -> TypeCheck var String +renderForSVG dim t term = do + objects <- renderObjectsFor dim t term let objects' = map mk objects return $ renderCube defaultCamera (if dim > 2 then (pi/7) else 0) $ \obj -> lookup obj objects' @@ -2400,42 +2407,78 @@ renderForSVG dim term = do mk (shapeId, renderData) = (intercalate "-" (map fill shapeId), renderData) fill xs = xs <> replicate (3 - length xs) '1' +renderTermSVGFor + :: Eq var + => Int + -> (Maybe (TermT var, TermT var), [var]) + -> TermT var + -> TypeCheck var (Maybe String) +renderTermSVGFor accDim (mp, xs) t = whnfT t >>= \t' -> typeOf t >>= \case + TypeFunT _ orig arg mtope ret + | Just dim <- dimOf arg, accDim + dim <= maxDim -> enterScope orig arg $ do + maybe id localTope mtope $ + renderTermSVGFor + (accDim + dim) + (join' (both (fmap S) <$> mp) (S <$> arg) (Pure Z), Z : map S xs) + (appT ret (S <$> t') (Pure Z)) + | null xs -> enterScope orig arg $ do + maybe id localTope mtope $ + renderTermSVGFor accDim (both (fmap S) <$> mp, map S xs) (appT ret (S <$> t') (Pure Z)) + _ -> case t' of + AppT _info f x -> typeOf f >>= \case + TypeFunT _ fOrig fArg mtopeArg ret | Just dim <- dimOf fArg, dim <= maxDim -> do + enterScope fOrig fArg $ do + maybe id localTope mtopeArg $ do + Just <$> renderForSubShapeSVG dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 + _ -> traverse (\(p', _) -> renderForSVG accDim p' t) mp + _ -> traverse (\(p', _) -> renderForSVG accDim p' t) mp + where + maxDim = 3 + + both f (x, y) = (f x, f y) + + join' Nothing Cube2T{} x = Just (x, cube2T) + join' (Just (p, pt)) Cube2T{} x = Just (p', pt') + where + pt' = cubeProductT pt cube2T + p' = pairT pt' p x + join' p (CubeProductT _ l r) x = + join' (join' p l (firstT l x)) r (secondT r x) + join' _ _ _ = Nothing -- FIXME: error? + + dimOf = \case + Cube2T{} -> Just 1 + CubeProductT _ l r -> (+) <$> dimOf l <*> dimOf r + _ -> Nothing + renderTermSVG :: Eq var => TermT var -> TypeCheck var (Maybe String) -renderTermSVG t = whnfT t >>= \t' -> typeOf t >>= \case +renderTermSVG = renderTermSVGFor 0 (Nothing, []) + +renderTermSVG' :: Eq var => TermT var -> TypeCheck var (Maybe String) +renderTermSVG' t = whnfT t >>= \t' -> typeOf t >>= \case TypeFunT _ orig arg mtope ret -> enterScope orig arg $ do maybe id localTope mtope $ case t' of LambdaT _ _orig _marg (AppT _info f x) -> typeOf f >>= \case - TypeFunT _ _ Cube2T{} mtope2 _ret -> do - Just <$> renderForSubShapeSVG ret mtope2 f (1, x) - TypeFunT _ _ (CubeProductT _ Cube2T{} Cube2T{}) mtope2 _ret -> do - Just <$> renderForSubShapeSVG ret mtope2 f (2, x) - TypeFunT _ _ (CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{}) mtope2 _ret -> do - Just <$> renderForSubShapeSVG ret mtope2 f (3, x) - -- TODO: remove code duplication - _ -> case arg of - CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do - Just <$> renderForSVG 3 (appT ret (S <$> t') (Pure Z)) - CubeProductT _ Cube2T{} (CubeProductT _ Cube2T{} Cube2T{}) -> do - return Nothing -- FIXME: support - CubeProductT _ Cube2T{} Cube2T{} -> do - Just <$> renderForSVG 2 (appT ret (S <$> t') (Pure Z)) - Cube2T{} -> do - Just <$> renderForSVG 1 (appT ret (S <$> t') (Pure Z)) - _ -> renderTermSVG (appT ret (S <$> t') (Pure Z)) - -- TODO: remove code duplication - _ -> case arg of - CubeProductT _ (CubeProductT _ Cube2T{} Cube2T{}) Cube2T{} -> do - Just <$> renderForSVG 3 (appT ret (S <$> t') (Pure Z)) - CubeProductT _ Cube2T{} (CubeProductT _ Cube2T{} Cube2T{}) -> do - return Nothing -- FIXME: support - CubeProductT _ Cube2T{} Cube2T{} -> do - Just <$> renderForSVG 2 (appT ret (S <$> t') (Pure Z)) - Cube2T{} -> do - Just <$> renderForSVG 1 (appT ret (S <$> t') (Pure Z)) - _ -> renderTermSVG (appT ret (S <$> t') (Pure Z)) - + TypeFunT _ fOrig fArg mtope2 _ret | Just dim <- dimOf fArg -> do + enterScope fOrig fArg $ do + maybe id localTope mtope2 $ do + Just <$> renderForSubShapeSVG dim [S Z] Z (S <$> ret) (S <$> f) (S <$> x) + _ -> defaultRenderTermSVG t' arg ret + _ -> defaultRenderTermSVG t' arg ret _t' -> return Nothing + where + dimOf = \case + Cube2T{} -> Just 1 + CubeProductT _ l r -> (+) <$> dimOf l <*> dimOf r -- WARNING: breaks for 2 * (2 * 2) + _ -> Nothing + + defaultRenderTermSVG t' arg ret = + case dimOf arg of + Just dim | dim <= 3 -> + Just <$> renderForSVG dim (Pure Z) (appT ret (S <$> t') (Pure Z)) + _ -> renderTermSVG' (appT ret (S <$> t') (Pure Z)) + type Point2D a = (a, a) type Point3D a = (a, a, a) From 7e4ba5271c68f69b07e594ff07c2752e66c1af91 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 00:34:10 +0300 Subject: [PATCH 11/26] Fix rendering for topes, add rendering for types --- rzk/src/Rzk/TypeCheck.hs | 26 +++++++++++++++++++------- 1 file changed, 19 insertions(+), 7 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index c259c85e3..9b8973515 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -1,5 +1,6 @@ {-# OPTIONS_GHC -fno-warn-type-defaults #-} {-# LANGUAGE LambdaCase #-} +{-# LANGUAGE OverloadedStrings #-} {-# LANGUAGE TupleSections #-} {-# LANGUAGE DeriveFoldable #-} {-# LANGUAGE DeriveFunctor #-} @@ -2331,12 +2332,19 @@ renderObjectsFor dim t term = fmap catMaybes $ do forM (subTopes2 dim t) $ \(shapeId, tope) -> do checkTopeEntails tope >>= \case False -> return Nothing - True -> do - label <- localTope tope (whnfT term) >>= ppTermInContext - return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = label - , renderObjectDataColor = "gray" - }) + True -> typeOf term >>= \case + UniverseTopeT{} -> localTope term $ checkTopeEntails tope >>= \case + False -> return Nothing + True -> return $ Just (shapeId, RenderObjectData + { renderObjectDataLabel = "•" + , renderObjectDataColor = "pink" -- FIXME: pink for topes? + }) + _ -> do + label <- localTope tope (whnfT term) >>= ppTermInContext + return $ Just (shapeId, RenderObjectData + { renderObjectDataLabel = label + , renderObjectDataColor = "gray" + }) componentWiseEQT :: Int -> TermT var -> TermT var -> TermT var componentWiseEQT 1 t s = topeEQT t s @@ -2370,7 +2378,9 @@ renderObjectsInSubShapeFor dim sub super retType f x = fmap catMaybes $ do checkEntails tope contextTopes >>= \case False -> return Nothing True -> do - label <- localTope tope (whnfT (appT retType f (Pure super))) >>= ppTermInContext + label <- localTope tope (whnfT (appT retType f (Pure super))) >>= \term -> typeOf term >>= \case + UniverseTopeT{} -> return "•" + _ -> ppTermInContext term color <- checkEntails tope contextTopes' >>= \case True -> return "red" False -> return "gray" @@ -2431,6 +2441,8 @@ renderTermSVGFor accDim (mp, xs) t = whnfT t >>= \t' -> typeOf t >>= \case maybe id localTope mtopeArg $ do Just <$> renderForSubShapeSVG dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 _ -> traverse (\(p', _) -> renderForSVG accDim p' t) mp + TypeFunT{} | null xs -> enterScope (Just "_") t' $ do + renderTermSVGFor 0 (Nothing, []) (Pure Z) _ -> traverse (\(p', _) -> renderForSVG accDim p' t) mp where maxDim = 3 From 7f944da806cd266cc70c495c509e873d00fb1a8f Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 01:14:58 +0300 Subject: [PATCH 12/26] Use black for known params, simplify some labels --- rzk/src/Rzk/TypeCheck.hs | 86 +++++++++++++++++++++++++++------------- 1 file changed, 58 insertions(+), 28 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index 9b8973515..c5ba93f6a 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2324,11 +2324,12 @@ cubeSubTopes = subTopes2 3 (Pure Z) renderObjectsFor :: Eq var - => Int + => String + -> Int -> TermT var -> TermT var -> TypeCheck var [(ShapeId, RenderObjectData)] -renderObjectsFor dim t term = fmap catMaybes $ do +renderObjectsFor mainColor dim t term = fmap catMaybes $ do forM (subTopes2 dim t) $ \(shapeId, tope) -> do checkTopeEntails tope >>= \case False -> return Nothing @@ -2340,10 +2341,23 @@ renderObjectsFor dim t term = fmap catMaybes $ do , renderObjectDataColor = "pink" -- FIXME: pink for topes? }) _ -> do - label <- localTope tope (whnfT term) >>= ppTermInContext + Context{..} <- ask + term' <- localTope tope $ whnfT term + label <- + case term of + AppT _ (Pure z) arg + | Just (Just "_") <- lookup z varOrigs -> ppTermInContext term' + | nub (foldMap pure arg) == nub (foldMap pure arg) -> ppTermInContext (Pure z) + _ -> ppTermInContext term' return $ Just (shapeId, RenderObjectData { renderObjectDataLabel = label - , renderObjectDataColor = "gray" + , renderObjectDataColor = + case term' of + Pure{} -> "black" + AppT _ (Pure x) arg + | Just (Just "_") <- lookup x varOrigs -> mainColor + | nub (foldMap pure t) == nub (foldMap pure arg) -> "black" + _ -> mainColor }) componentWiseEQT :: Int -> TermT var -> TermT var -> TermT var @@ -2358,14 +2372,15 @@ componentWiseEQT dim _ _ = error ("cannot work with " <> show dim <> " dimension renderObjectsInSubShapeFor :: Eq var - => Int + => String + -> Int -> [var] -> var -> TermT var -> TermT var -> TermT var -> TypeCheck var [(ShapeId, RenderObjectData)] -renderObjectsInSubShapeFor dim sub super retType f x = fmap catMaybes $ do +renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes $ do let reduceContext = foldr topeOrT topeBottomT . map (foldr topeAndT topeTopT) @@ -2378,11 +2393,24 @@ renderObjectsInSubShapeFor dim sub super retType f x = fmap catMaybes $ do checkEntails tope contextTopes >>= \case False -> return Nothing True -> do - label <- localTope tope (whnfT (appT retType f (Pure super))) >>= \term -> typeOf term >>= \case + Context{..} <- ask + term <- localTope tope (whnfT (appT retType f (Pure super))) + label <- typeOf term >>= \case UniverseTopeT{} -> return "•" - _ -> ppTermInContext term + _ -> do + case term of + AppT _ (Pure z) arg + | Just (Just "_") <- lookup z varOrigs -> ppTermInContext term + | [super] == nub (foldMap pure arg) -> ppTermInContext (Pure z) + _ -> ppTermInContext term color <- checkEntails tope contextTopes' >>= \case - True -> return "red" + True -> do + case term of + Pure{} -> return "black" + AppT _ (Pure z) arg + | Just (Just "_") <- lookup z varOrigs -> return mainColor + | [super] == nub (foldMap pure arg) -> return "black" + _ -> return mainColor False -> return "gray" return $ Just (shapeId, RenderObjectData { renderObjectDataLabel = label @@ -2391,15 +2419,16 @@ renderObjectsInSubShapeFor dim sub super retType f x = fmap catMaybes $ do renderForSubShapeSVG :: Eq var - => Int + => String + -> Int -> [var] -> var -> TermT var -> TermT var -> TermT var -> TypeCheck var String -renderForSubShapeSVG dim sub super retType f x = do - objects <- renderObjectsInSubShapeFor dim sub super retType f x +renderForSubShapeSVG mainColor dim sub super retType f x = do + objects <- renderObjectsInSubShapeFor mainColor dim sub super retType f x let objects' = map mk objects return $ renderCube defaultCamera (if dim > 2 then (pi/7) else 0) $ \obj -> lookup obj objects' @@ -2407,9 +2436,9 @@ renderForSubShapeSVG dim sub super retType f x = do mk (shapeId, renderData) = (intercalate "-" (map fill shapeId), renderData) fill xs = xs <> replicate (3 - length xs) '1' -renderForSVG :: Eq var => Int -> TermT var -> TermT var -> TypeCheck var String -renderForSVG dim t term = do - objects <- renderObjectsFor dim t term +renderForSVG :: Eq var => String -> Int -> TermT var -> TermT var -> TypeCheck var String +renderForSVG mainColor dim t term = do + objects <- renderObjectsFor mainColor dim t term let objects' = map mk objects return $ renderCube defaultCamera (if dim > 2 then (pi/7) else 0) $ \obj -> lookup obj objects' @@ -2419,31 +2448,32 @@ renderForSVG dim t term = do renderTermSVGFor :: Eq var - => Int - -> (Maybe (TermT var, TermT var), [var]) - -> TermT var + => String -- ^ Main color. + -> Int -- ^ Accumulated dimensions so far (from 0 to 3). + -> (Maybe (TermT var, TermT var), [var]) -- ^ Accumulated point term (and its time). + -> TermT var -- ^ Term to render. -> TypeCheck var (Maybe String) -renderTermSVGFor accDim (mp, xs) t = whnfT t >>= \t' -> typeOf t >>= \case +renderTermSVGFor mainColor accDim (mp, xs) t = whnfT t >>= \t' -> typeOf t >>= \case TypeFunT _ orig arg mtope ret | Just dim <- dimOf arg, accDim + dim <= maxDim -> enterScope orig arg $ do maybe id localTope mtope $ - renderTermSVGFor + renderTermSVGFor mainColor (accDim + dim) (join' (both (fmap S) <$> mp) (S <$> arg) (Pure Z), Z : map S xs) (appT ret (S <$> t') (Pure Z)) | null xs -> enterScope orig arg $ do maybe id localTope mtope $ - renderTermSVGFor accDim (both (fmap S) <$> mp, map S xs) (appT ret (S <$> t') (Pure Z)) + renderTermSVGFor mainColor accDim (both (fmap S) <$> mp, map S xs) (appT ret (S <$> t') (Pure Z)) _ -> case t' of AppT _info f x -> typeOf f >>= \case TypeFunT _ fOrig fArg mtopeArg ret | Just dim <- dimOf fArg, dim <= maxDim -> do enterScope fOrig fArg $ do maybe id localTope mtopeArg $ do - Just <$> renderForSubShapeSVG dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 - _ -> traverse (\(p', _) -> renderForSVG accDim p' t) mp + Just <$> renderForSubShapeSVG mainColor dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 + _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t) mp TypeFunT{} | null xs -> enterScope (Just "_") t' $ do - renderTermSVGFor 0 (Nothing, []) (Pure Z) - _ -> traverse (\(p', _) -> renderForSVG accDim p' t) mp + renderTermSVGFor "blue" 0 (Nothing, []) (Pure Z) -- use blue for types + _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t) mp where maxDim = 3 @@ -2464,7 +2494,7 @@ renderTermSVGFor accDim (mp, xs) t = whnfT t >>= \t' -> typeOf t >>= \case _ -> Nothing renderTermSVG :: Eq var => TermT var -> TypeCheck var (Maybe String) -renderTermSVG = renderTermSVGFor 0 (Nothing, []) +renderTermSVG = renderTermSVGFor "red" 0 (Nothing, []) -- use black for terms by default renderTermSVG' :: Eq var => TermT var -> TypeCheck var (Maybe String) renderTermSVG' t = whnfT t >>= \t' -> typeOf t >>= \case @@ -2475,7 +2505,7 @@ renderTermSVG' t = whnfT t >>= \t' -> typeOf t >>= \case TypeFunT _ fOrig fArg mtope2 _ret | Just dim <- dimOf fArg -> do enterScope fOrig fArg $ do maybe id localTope mtope2 $ do - Just <$> renderForSubShapeSVG dim [S Z] Z (S <$> ret) (S <$> f) (S <$> x) + Just <$> renderForSubShapeSVG "red" dim [S Z] Z (S <$> ret) (S <$> f) (S <$> x) _ -> defaultRenderTermSVG t' arg ret _ -> defaultRenderTermSVG t' arg ret _t' -> return Nothing @@ -2488,7 +2518,7 @@ renderTermSVG' t = whnfT t >>= \t' -> typeOf t >>= \case defaultRenderTermSVG t' arg ret = case dimOf arg of Just dim | dim <= 3 -> - Just <$> renderForSVG dim (Pure Z) (appT ret (S <$> t') (Pure Z)) + Just <$> renderForSVG "red" dim (Pure Z) (appT ret (S <$> t') (Pure Z)) _ -> renderTermSVG' (appT ret (S <$> t') (Pure Z)) From c62fc1040da2bd2085cc3b0afed66ad8fb79044c Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 01:35:02 +0300 Subject: [PATCH 13/26] Add render option, limit label length --- rzk/src/Rzk/TypeCheck.hs | 40 +++++++++++++++++++++++++++------------- 1 file changed, 27 insertions(+), 13 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index c5ba93f6a..87fb5ec75 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -89,7 +89,11 @@ typecheckModule (Rzk.Module _loc _lang commands) = go 1 commands fmap (decl :) $ localDeclPrepared decl $ do Context{..} <- ask - termSVG <- if renderSVG then renderTermSVG (Pure name) else pure Nothing + termSVG <- + case renderBackend of + Just RenderSVG -> renderTermSVG (Pure name) + Just RenderLaTeX -> issueTypeError $ TypeErrorOther "\"latex\" rendering is not yet supported" + Nothing -> pure Nothing maybe id trace termSVG $ do go (i + 1) moreCommands @@ -138,6 +142,12 @@ setOption "verbosity" = \case "silent" -> localVerbosity Silent _ -> const $ issueTypeError $ TypeErrorOther "unknown verbosity level (use \"debug\", \"normal\", or \"silent\")" +setOption "render" = \case + "svg" -> localRenderBackend (Just RenderSVG) + "latex" -> localRenderBackend (Just RenderLaTeX) + "none" -> localRenderBackend Nothing + _ -> const $ + issueTypeError $ TypeErrorOther "unknown render backend (use \"svg\", \"latex\", or \"none\")" setOption optionName = const $ const $ issueTypeError $ TypeErrorOther ("unknown option " <> show optionName) @@ -453,10 +463,17 @@ traceTypeCheck msgLevel msg tc = do localVerbosity :: Verbosity -> TypeCheck var a -> TypeCheck var a localVerbosity v = local $ \Context{..} -> Context { verbosity = v, .. } +localRenderBackend :: Maybe RenderBackend -> TypeCheck var a -> TypeCheck var a +localRenderBackend v = local $ \Context{..} -> Context { renderBackend = v, .. } + data Covariance = Covariant -- ^ Positive position. | Contravariant -- ^ Negative position +data RenderBackend + = RenderSVG + | RenderLaTeX + data Context var = Context { varTypes :: [(var, TermT var)] , varValues :: [(var, Maybe (TermT var))] @@ -470,7 +487,7 @@ data Context var = Context , location :: Maybe LocationInfo , verbosity :: Verbosity , covariance :: Covariance - , renderSVG :: Bool + , renderBackend :: Maybe RenderBackend } deriving (Functor, Foldable) emptyContext :: Context var @@ -487,7 +504,7 @@ emptyContext = Context , location = Nothing , verbosity = Normal , covariance = Covariant - , renderSVG = True -- FIXME: make false by default + , renderBackend = Nothing } ppContext' :: Context Rzk.VarIdent -> String @@ -2201,14 +2218,6 @@ unsafeInferStandalone' t = ] Right tt -> tt -mkRenderObjectEntry :: String -> String -> String -> (String, RenderObjectData) -mkRenderObjectEntry objId objColor objLabel = (objId, objData) - where - objData = RenderObjectData - { renderObjectDataLabel = objLabel - , renderObjectDataColor = objColor - } - type PointId = String type ShapeId = [PointId] @@ -2322,6 +2331,11 @@ subTopes2 dim _ = error (show dim <> " dimensions are not supported") cubeSubTopes :: [(ShapeId, TermT (Inc var))] cubeSubTopes = subTopes2 3 (Pure Z) +limitLength :: Int -> String -> String +limitLength n s + | length s > n = take (n - 3) s <> "..." + | otherwise = s + renderObjectsFor :: Eq var => String @@ -2350,7 +2364,7 @@ renderObjectsFor mainColor dim t term = fmap catMaybes $ do | nub (foldMap pure arg) == nub (foldMap pure arg) -> ppTermInContext (Pure z) _ -> ppTermInContext term' return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = label + { renderObjectDataLabel = limitLength 10 label , renderObjectDataColor = case term' of Pure{} -> "black" @@ -2413,7 +2427,7 @@ renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes _ -> return mainColor False -> return "gray" return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = label + { renderObjectDataLabel = limitLength 10 label , renderObjectDataColor = color }) From f4895bb11518ac65418af1d8249fd96c21f72e32 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 02:00:01 +0300 Subject: [PATCH 14/26] Add labels for edges and faces --- rzk/src/Rzk/TypeCheck.hs | 22 ++++++++++++++-------- 1 file changed, 14 insertions(+), 8 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index 87fb5ec75..cb3201d3b 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2360,11 +2360,11 @@ renderObjectsFor mainColor dim t term = fmap catMaybes $ do label <- case term of AppT _ (Pure z) arg - | Just (Just "_") <- lookup z varOrigs -> ppTermInContext term' + | Just (Just "_") <- lookup z varOrigs -> return "" | nub (foldMap pure arg) == nub (foldMap pure arg) -> ppTermInContext (Pure z) _ -> ppTermInContext term' return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = limitLength 10 label + { renderObjectDataLabel = limitLength 20 label , renderObjectDataColor = case term' of Pure{} -> "black" @@ -2414,7 +2414,7 @@ renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes _ -> do case term of AppT _ (Pure z) arg - | Just (Just "_") <- lookup z varOrigs -> ppTermInContext term + | Just (Just "_") <- lookup z varOrigs -> return "" | [super] == nub (foldMap pure arg) -> ppTermInContext (Pure z) _ -> ppTermInContext term color <- checkEntails tope contextTopes' >>= \case @@ -2427,7 +2427,7 @@ renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes _ -> return mainColor False -> return "gray" return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = limitLength 10 label + { renderObjectDataLabel = limitLength 20 label , renderObjectDataColor = color }) @@ -2680,14 +2680,20 @@ renderCube camera rotY renderDataOf = unlines $ filter (not . null) [ " show x1 <> " " <> show y1 <> " L " <> show x2 <> " " <> show y2 <> " L " <> show x3 <> " " <> show y3 - <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.2\">" <> renderObjectDataLabel <> "" + <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.2\">" <> renderObjectDataLabel <> "" <> "\n" <> + " show x <> "\" y=\"" <> show y <> "\" fill=\"" <> renderObjectDataColor <> "\">" <> renderObjectDataLabel <> "" | (faceId, (((x1, y1), (x2, y2), (x3, y3)), _)) <- faces - , Just RenderObjectData{..} <- [renderDataOf faceId]] + , Just RenderObjectData{..} <- [renderDataOf faceId] + , let x = (x1 + x2 + x3) / 3 + , let y = (y1 + y2 + y3) / 3 ] , intercalate "\n" [ " show x1 <> "," <> show y1 <> " " <> show x2 <> "," <> show y2 - <> "\" stroke=\"" <> renderObjectDataColor <> "\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> renderObjectDataLabel <> "" + <> "\" stroke=\"" <> renderObjectDataColor <> "\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> renderObjectDataLabel <> "" <> "\n" <> + " show x <> "\" y=\"" <> show y <> "\" fill=\"" <> renderObjectDataColor <> "\" stroke=\"white\" stroke-width=\"10\" stroke-opacity=\".8\" paint-order=\"stroke\">" <> renderObjectDataLabel <> "" | (edge, (((x1, y1), (x2, y2)), _)) <- edges - , Just RenderObjectData{..} <- [renderDataOf edge]] + , Just RenderObjectData{..} <- [renderDataOf edge] + , let x = (x1 + x2) / 2 + , let y = (y1 + y2) / 2 ] , intercalate "\n" [ " show x <> "\" y=\"" <> show y <> "\" fill=\"" <> renderObjectDataColor <> "\">" <> renderObjectDataLabel <> "" | (v, ((x, y), _)) <- vertices From f2c2c0b1f9132102282a5ac3bb97a2c32026b416 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 04:04:14 +0300 Subject: [PATCH 15/26] Improve rendering --- rzk/src/Rzk/TypeCheck.hs | 75 ++++++++++++++++++++++++++++------------ 1 file changed, 52 insertions(+), 23 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index cb3201d3b..51b05230c 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2333,7 +2333,7 @@ cubeSubTopes = subTopes2 3 (Pure Z) limitLength :: Int -> String -> String limitLength n s - | length s > n = take (n - 3) s <> "..." + | length s > n = take (n - 1) s <> "…" | otherwise = s renderObjectsFor @@ -2467,27 +2467,46 @@ renderTermSVGFor -> (Maybe (TermT var, TermT var), [var]) -- ^ Accumulated point term (and its time). -> TermT var -- ^ Term to render. -> TypeCheck var (Maybe String) -renderTermSVGFor mainColor accDim (mp, xs) t = whnfT t >>= \t' -> typeOf t >>= \case - TypeFunT _ orig arg mtope ret - | Just dim <- dimOf arg, accDim + dim <= maxDim -> enterScope orig arg $ do - maybe id localTope mtope $ - renderTermSVGFor mainColor - (accDim + dim) - (join' (both (fmap S) <$> mp) (S <$> arg) (Pure Z), Z : map S xs) - (appT ret (S <$> t') (Pure Z)) - | null xs -> enterScope orig arg $ do - maybe id localTope mtope $ - renderTermSVGFor mainColor accDim (both (fmap S) <$> mp, map S xs) (appT ret (S <$> t') (Pure Z)) - _ -> case t' of - AppT _info f x -> typeOf f >>= \case - TypeFunT _ fOrig fArg mtopeArg ret | Just dim <- dimOf fArg, dim <= maxDim -> do - enterScope fOrig fArg $ do - maybe id localTope mtopeArg $ do - Just <$> renderForSubShapeSVG mainColor dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 - _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t) mp - TypeFunT{} | null xs -> enterScope (Just "_") t' $ do - renderTermSVGFor "blue" 0 (Nothing, []) (Pure Z) -- use blue for types - _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t) mp +renderTermSVGFor mainColor accDim (mp, xs) t = do + t' <- whnfT t + ty <- typeOf t' + case t of -- check unevaluated term + AppT _info f x -> typeOf f >>= \case + TypeFunT _ fOrig fArg mtopeArg ret | Just dim <- dimOf fArg, dim <= maxDim -> do + enterScope fOrig fArg $ do + maybe id localTope mtopeArg $ do + Just <$> renderForSubShapeSVG mainColor dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 + _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t') mp + TypeFunT{} | null xs -> enterScope (Just "_") t' $ do + renderTermSVGFor "blue" 0 (Nothing, []) (Pure Z) -- use blue for types + + _ -> case t' of -- check evaluated term + AppT _info f x -> typeOf f >>= \case + TypeFunT _ fOrig fArg mtopeArg ret | Just dim <- dimOf fArg, dim <= maxDim -> do + enterScope fOrig fArg $ do + maybe id localTope mtopeArg $ do + Just <$> renderForSubShapeSVG mainColor dim (map S xs) Z ret (S <$> f) (S <$> x) -- FIXME: breaks for 2 * (2 * 2), but works for 2 * 2 * 2 = (2 * 2) * 2 + _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t') mp + TypeFunT{} | null xs -> enterScope (Just "_") t' $ do + renderTermSVGFor "blue" 0 (Nothing, []) (Pure Z) -- use blue for types + + _ -> case ty of -- check type of the term + TypeFunT _ orig arg mtope ret + | Just dim <- dimOf arg, accDim + dim <= maxDim -> enterScope orig arg $ do + maybe id localTope mtope $ + renderTermSVGFor mainColor (accDim + dim) + (join' (both (fmap S) <$> mp) (S <$> arg) (Pure Z), Z : map S xs) $ + case t' of + LambdaT _ _orig _marg body -> body + _ -> appT ret (S <$> t') (Pure Z) + | null xs -> enterScope orig arg $ do + maybe id localTope mtope $ + renderTermSVGFor mainColor accDim + (both (fmap S) <$> mp, map S xs) $ + case t' of + LambdaT _ _orig _marg body -> body + _ -> appT ret (S <$> t') (Pure Z) + _ -> traverse (\(p', _) -> renderForSVG mainColor accDim p' t') mp where maxDim = 3 @@ -2674,7 +2693,7 @@ renderCube -> a -> (String -> Maybe RenderObjectData) -> String -renderCube camera rotY renderDataOf = unlines $ filter (not . null) +renderCube camera rotY renderDataOf' = unlines $ filter (not . null) [ "" , intercalate "\n" [ " show x1 <> " " <> show y1 @@ -2700,6 +2719,16 @@ renderCube camera rotY renderDataOf = unlines $ filter (not . null) , Just RenderObjectData{..} <- [renderDataOf v]] , "" ] where + renderDataOf shapeId = + case renderDataOf' shapeId of + Nothing -> Nothing + Just RenderObjectData{..} -> Just RenderObjectData + { renderObjectDataLabel = hideWhenLargerThan shapeId 5 renderObjectDataLabel , .. } + + hideWhenLargerThan shapeId n s + | length s > n = if '-' `elem` shapeId then "" else "•" + | otherwise = s + vertices = [ (show x <> show y <> show z, ((500 * x'', 500 * y''), zIndex)) | x <- [0,1] From d34411eee0099960a2524f5d6e875f3fb6e70f66 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 04:31:18 +0300 Subject: [PATCH 16/26] Update changelog --- rzk/ChangeLog.md | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) diff --git a/rzk/ChangeLog.md b/rzk/ChangeLog.md index 05543b32c..1e22cc12e 100644 --- a/rzk/ChangeLog.md +++ b/rzk/ChangeLog.md @@ -6,6 +6,34 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to the [Haskell Package Versioning Policy](https://pvp.haskell.org/). +## Unreleased + +This version introduces an experimental feature for generating visualisations for simplicial terms in SVG. +To enable rendering, enable option `"render" = "svg"` (to disable, `"render" = "none"`): + +```rzk +#set-option "render" = "svg" -- enable rendering in SVG +``` + +Rendering is completely automatic, and works in the following situations: + +1. Mapping from a shape (including curried mappings), up to 3 dimensions, only in products of `2` cubes; +2. Type of mapping from a shape (including curried mappings), up to 3 dimensions, only in products of `2` cubes. +3. Mappings from a shape that is a section of an existing shape. + +The rendering assigns the following colors: + +- black is assigned for parameters (context) variables; +- blue is used for fillings for types (e.g. for `hom` and `hom2`); +- red is used for terms (e.g. `Segal-comp-witness`); +- pink is used for shapes in the tope layer; +- grey is used for discarded parts of a (larger) mapping (e.g. when extracting a diagonal/face from a larger shape). + +Minor changes: + +- Exit with non-zero code upon a type error (see b135c4fb) +- Fix external links and some typos in the documentation + ## v0.2.0 - 2022-04-20 This version was a complete rewrite of the proof assistant, using a new parser, a new internal representation, and a rewrite of the typechecking logic. This is still a prototype, but, arguably, significantly more stable and manageable than version 0.1.0. From 69341fa7aeeaafc6d632a05140cd57d7ab2de1cb Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 16:11:42 +0300 Subject: [PATCH 17/26] Fix some labels --- rzk/src/Rzk/TypeCheck.hs | 32 ++++++++++++++++++-------------- 1 file changed, 18 insertions(+), 14 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index 51b05230c..b41eb6677 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2351,26 +2351,28 @@ renderObjectsFor mainColor dim t term = fmap catMaybes $ do UniverseTopeT{} -> localTope term $ checkTopeEntails tope >>= \case False -> return Nothing True -> return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = "•" + { renderObjectDataLabel = "" + , renderObjectDataFullLabel = "" , renderObjectDataColor = "pink" -- FIXME: pink for topes? }) _ -> do Context{..} <- ask term' <- localTope tope $ whnfT term label <- - case term of + case term' of AppT _ (Pure z) arg | Just (Just "_") <- lookup z varOrigs -> return "" - | nub (foldMap pure arg) == nub (foldMap pure arg) -> ppTermInContext (Pure z) + | null (nub (foldMap pure arg) \\ nub (foldMap pure t)) -> ppTermInContext (Pure z) _ -> ppTermInContext term' return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = limitLength 20 label + { renderObjectDataLabel = label + , renderObjectDataFullLabel = label , renderObjectDataColor = case term' of Pure{} -> "black" AppT _ (Pure x) arg | Just (Just "_") <- lookup x varOrigs -> mainColor - | nub (foldMap pure t) == nub (foldMap pure arg) -> "black" + | null (nub (foldMap pure arg) \\ nub (foldMap pure t)) -> "black" _ -> mainColor }) @@ -2410,12 +2412,12 @@ renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes Context{..} <- ask term <- localTope tope (whnfT (appT retType f (Pure super))) label <- typeOf term >>= \case - UniverseTopeT{} -> return "•" + UniverseTopeT{} -> return "" _ -> do case term of AppT _ (Pure z) arg | Just (Just "_") <- lookup z varOrigs -> return "" - | [super] == nub (foldMap pure arg) -> ppTermInContext (Pure z) + | null (nub (foldMap pure arg) \\ [super]) -> ppTermInContext (Pure z) _ -> ppTermInContext term color <- checkEntails tope contextTopes' >>= \case True -> do @@ -2423,11 +2425,12 @@ renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes Pure{} -> return "black" AppT _ (Pure z) arg | Just (Just "_") <- lookup z varOrigs -> return mainColor - | [super] == nub (foldMap pure arg) -> return "black" + | null (nub (foldMap pure arg) \\ [super]) -> return "black" _ -> return mainColor False -> return "gray" return $ Just (shapeId, RenderObjectData - { renderObjectDataLabel = limitLength 20 label + { renderObjectDataLabel = label + , renderObjectDataFullLabel = label , renderObjectDataColor = color }) @@ -2683,8 +2686,9 @@ point3Dto2D camera rotY (x, y, z) = fromAffine $ ] data RenderObjectData = RenderObjectData - { renderObjectDataLabel :: String - , renderObjectDataColor :: String + { renderObjectDataLabel :: String + , renderObjectDataFullLabel :: String + , renderObjectDataColor :: String } renderCube @@ -2699,7 +2703,7 @@ renderCube camera rotY renderDataOf' = unlines $ filter (not . null) [ " show x1 <> " " <> show y1 <> " L " <> show x2 <> " " <> show y2 <> " L " <> show x3 <> " " <> show y3 - <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.2\">" <> renderObjectDataLabel <> "" <> "\n" <> + <> " Z\" style=\"fill: " <> renderObjectDataColor <> "; opacity: 0.2\">" <> renderObjectDataFullLabel <> "" <> "\n" <> " show x <> "\" y=\"" <> show y <> "\" fill=\"" <> renderObjectDataColor <> "\">" <> renderObjectDataLabel <> "" | (faceId, (((x1, y1), (x2, y2), (x3, y3)), _)) <- faces , Just RenderObjectData{..} <- [renderDataOf faceId] @@ -2707,7 +2711,7 @@ renderCube camera rotY renderDataOf' = unlines $ filter (not . null) , let y = (y1 + y2 + y3) / 3 ] , intercalate "\n" [ " show x1 <> "," <> show y1 <> " " <> show x2 <> "," <> show y2 - <> "\" stroke=\"" <> renderObjectDataColor <> "\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> renderObjectDataLabel <> "" <> "\n" <> + <> "\" stroke=\"" <> renderObjectDataColor <> "\" stroke-width=\"3\" marker-end=\"url(#arrow)\">" <> renderObjectDataFullLabel <> "" <> "\n" <> " show x <> "\" y=\"" <> show y <> "\" fill=\"" <> renderObjectDataColor <> "\" stroke=\"white\" stroke-width=\"10\" stroke-opacity=\".8\" paint-order=\"stroke\">" <> renderObjectDataLabel <> "" | (edge, (((x1, y1), (x2, y2)), _)) <- edges , Just RenderObjectData{..} <- [renderDataOf edge] @@ -2726,7 +2730,7 @@ renderCube camera rotY renderDataOf' = unlines $ filter (not . null) { renderObjectDataLabel = hideWhenLargerThan shapeId 5 renderObjectDataLabel , .. } hideWhenLargerThan shapeId n s - | length s > n = if '-' `elem` shapeId then "" else "•" + | null s || length s > n = if '-' `elem` shapeId then "" else "•" | otherwise = s vertices = From 6196af9e5abc1f18210d9b6c64778692ad0db17f Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 16:55:11 +0300 Subject: [PATCH 18/26] Fix empty tope context, change colors for rendering --- rzk/src/Rzk/TypeCheck.hs | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index b41eb6677..b4d869a1e 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -495,9 +495,9 @@ emptyContext = Context { varTypes = [] , varValues = [] , varOrigs = [] - , localTopes = [] - , localTopesNF = [] - , localTopesNFUnion = [[]] + , localTopes = [topeTopT] + , localTopesNF = [topeTopT] + , localTopesNFUnion = [[topeTopT]] , localTopesEntailBottom = False , actionStack = [] , currentCommand = Nothing @@ -2353,7 +2353,7 @@ renderObjectsFor mainColor dim t term = fmap catMaybes $ do True -> return $ Just (shapeId, RenderObjectData { renderObjectDataLabel = "" , renderObjectDataFullLabel = "" - , renderObjectDataColor = "pink" -- FIXME: pink for topes? + , renderObjectDataColor = "orange" -- FIXME: orange for topes? }) _ -> do Context{..} <- ask @@ -2369,10 +2369,10 @@ renderObjectsFor mainColor dim t term = fmap catMaybes $ do , renderObjectDataFullLabel = label , renderObjectDataColor = case term' of - Pure{} -> "black" + Pure{} -> "purple" AppT _ (Pure x) arg | Just (Just "_") <- lookup x varOrigs -> mainColor - | null (nub (foldMap pure arg) \\ nub (foldMap pure t)) -> "black" + | null (nub (foldMap pure arg) \\ nub (foldMap pure t)) -> "purple" _ -> mainColor }) @@ -2422,10 +2422,10 @@ renderObjectsInSubShapeFor mainColor dim sub super retType f x = fmap catMaybes color <- checkEntails tope contextTopes' >>= \case True -> do case term of - Pure{} -> return "black" + Pure{} -> return "purple" AppT _ (Pure z) arg | Just (Just "_") <- lookup z varOrigs -> return mainColor - | null (nub (foldMap pure arg) \\ [super]) -> return "black" + | null (nub (foldMap pure arg) \\ [super]) -> return "purple" _ -> return mainColor False -> return "gray" return $ Just (shapeId, RenderObjectData @@ -2530,7 +2530,7 @@ renderTermSVGFor mainColor accDim (mp, xs) t = do _ -> Nothing renderTermSVG :: Eq var => TermT var -> TypeCheck var (Maybe String) -renderTermSVG = renderTermSVGFor "red" 0 (Nothing, []) -- use black for terms by default +renderTermSVG = renderTermSVGFor "red" 0 (Nothing, []) -- use red for terms by default renderTermSVG' :: Eq var => TermT var -> TypeCheck var (Maybe String) renderTermSVG' t = whnfT t >>= \t' -> typeOf t >>= \case From 0c8b2fbe1995babb9eb7ae160b64d498cada71a7 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 16:55:36 +0300 Subject: [PATCH 19/26] Add docs for rendering --- docs/docs/rzk-1/render.md | 415 ++++++++++++++++++++++++++++++++++++++ docs/mkdocs.yml | 1 + 2 files changed, 416 insertions(+) create mode 100644 docs/docs/rzk-1/render.md diff --git a/docs/docs/rzk-1/render.md b/docs/docs/rzk-1/render.md new file mode 100644 index 000000000..c362f510a --- /dev/null +++ b/docs/docs/rzk-1/render.md @@ -0,0 +1,415 @@ +# Rendering Diagrams + +Starting from version `0.3.0`, `rzk` supports rendering of topes, types, and terms as diagrams. + +This is a literate `rzk` file: + +```rzk +#lang rzk-1 +``` + +To enable rendering, enable option `"render" = "svg"` (to disable, `"render" = "none"`): + +```rzk +#set-option "render" = "svg" -- enable rendering in SVG +``` + +Rendering is completely automatic, and works in the following situations: + +1. Mapping from a shape (including curried mappings), up to 3 dimensions, only in products of `2` cubes; +2. Type of mapping from a shape (including curried mappings), up to 3 dimensions, only in products of `2` cubes. +3. Mappings from a shape that is a section of an existing shape. + +The rendering assigns the following colors: + +- purple is assigned for parameters (context) variables; +- blue is used for fillings for types (e.g. for `hom` and `hom2`); +- red is used for terms (e.g. `Segal-comp-witness`); +- orange is used for shapes in the tope layer; +- grey is used for discarded parts of a (larger) mapping (e.g. when extracting a diagonal/face from a larger shape). + +The SVG pictures can be inserted directly into `.md` files before a corresponding `rzk` code block. At the bottom of a markdown file, you might want to add stylization, e.g.: + +```html + + + + + + + + + + + + +``` + +## Examples + +### Visualising Simplicial Topes + +Topes are visualised with **orange** color: + + + + + + + + + + + • + • + • + + +```rzk +-- 2-simplex +#def Δ² : (2 * 2) -> TOPE + := \(t, s) -> s <= t +``` +

+Boundary of a tope: + + + + + + + + + • + • + • + + +```rzk +-- boundary of a 2-simplex +#def ∂Δ² : Δ² -> TOPE + := \(t, s) -> s === 0_2 \/ t === 1_2 \/ s === t +``` + +The busiest tope diagram involves the entire 3D cube: +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + • + • + • + • + • + • + • + • + + +```rzk +-- 3-dim cube +#def 2³ : (2 * 2 * 2) -> TOPE + := \_ -> TOP +``` +


+ + + + + + + + + + + + + + + + + + + + + + • + • + • + • + + +```rzk +-- 3-simplex +#def Δ³ : (2 * 2 * 2) -> TOPE + := \((t1, t2), t3) -> t3 <= t2 /\ t2 <= t1 +``` + +

+### Visualising Simplicial Types + +Types are visualised with **blue** color. Recognised parameter part (e.g. fixed endpoints, edges, faces with clear labels) are visualised with **purple** color. When a type is constructed by taking a part of another shape, the rest of the larger shape is colored using **gray** color. + + + + + x + y + + +```rzk +-- [RS17, Definition 5.1] +-- The type of arrows in A from x to y. +#def hom + (A : U) -- A type. + (x y : A) -- Two points in A. + : U -- (hom A x y) is a 1-simplex (an arrow) + := (t : 2) -> A [ -- in A where + t === 0_2 |-> x, -- * the left endpoint is exactly x + t === 1_2 |-> y -- * the right endpoint is exactly y + ] +``` + + + + + f + f + h + h + g + g + x + y + z + + +```rzk +-- [RS17, Definition 5.2] +-- the type of commutative triangles in A +#def hom2 + (A : U) -- A type. + (x y z : A) -- Three points in A. + (f : hom A x y) -- An arrow in A from x to y. + (g : hom A y z) -- An arrow in A from y to z. + (h : hom A x z) -- An arrow in A from x to z. + : U -- (hom2 A x y z f g h) is a 2-simplex (triangle) + := { (t1, t2) : Δ² } -> A [ -- in A where + t2 === 0_2 |-> f t1, -- * the top edge is exactly f, + t1 === 1_2 |-> g t2, -- * the right edge is exactly g, and + t2 === t1 |-> h t2 -- * the diagonal is exactly h + ] +``` + +### Visualising Terms of Simplicial Types + +Terms (with non-trivial labels) are visualised with **red** color (you can see a detailed label on hover). Recognised parameter part (e.g. fixed endpoints, edges, faces with clear labels) are visualised with **purple** color. When a term is constructed by taking a part of another shape, the rest of the larger shape is colored using **gray** color. + +We can visualise terms that fill a shape: + + + second a (second x₂, first x₂) + + second a (first x₂, second x₂) + + f + f + f + f + first a (second (first x₂, second x₂)) + + g + g + g + g + x + y + y + z + + +```rzk +#def square + (A : U) + (x y z : A) + (f : hom A x y) + (g : hom A y z) + (h : hom A x z) + (a : Sigma (h' : hom A x z), hom2 A x y z f g h') + : (2 * 2) -> A + := \(t, s) -> recOR( s <= t |-> second a (t, s) , t <= s |-> second a (s, t)) +``` + +If a term is extracted as a part of a larger shape, generally, the whole shape will be shown (in gray): + + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + first a (second x₂) + + first a (second x₂) + + f + f + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + second a x₂ + + first a (second x₂) + + y + y + first a (second x₂) + + z + z + first a (second x₂) + + x + y + y + z + y + z + + +```rzk +#def face + (A : U) + (x y z : A) + (f : hom A x y) + (a : Sigma (g : hom A y z), {((t1, t2), t3) : 2 * 2 * 2 | t3 <= t1 \/ t2 <= t1} -> A [ t1 === 0_2 |-> f t2, t1 === 1_2 |-> g t3 ]) + : Δ² -> A + := \(t, s) -> second a ((t, t), s) +``` + + + + + + + + + + + + + + \ No newline at end of file diff --git a/docs/mkdocs.yml b/docs/mkdocs.yml index 84b15ea60..aa042002e 100644 --- a/docs/mkdocs.yml +++ b/docs/mkdocs.yml @@ -4,6 +4,7 @@ nav: - About: index.md - rzk-1 Language: - Introduction: rzk-1/introduction.md + - Rendering Diagrams: rzk-1/render.md - Weak tope disjunction elimination: rzk-1/recId.md - Tools: - IDE support: tools/ide.md From 2ff0e1876f18e6aff73a77d88e6dc74f037c57d1 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 16:56:14 +0300 Subject: [PATCH 20/26] Update changelog --- rzk/ChangeLog.md | 14 -------------- 1 file changed, 14 deletions(-) diff --git a/rzk/ChangeLog.md b/rzk/ChangeLog.md index 1e22cc12e..0b1e5464b 100644 --- a/rzk/ChangeLog.md +++ b/rzk/ChangeLog.md @@ -15,20 +15,6 @@ To enable rendering, enable option `"render" = "svg"` (to disable, `"render" = " #set-option "render" = "svg" -- enable rendering in SVG ``` -Rendering is completely automatic, and works in the following situations: - -1. Mapping from a shape (including curried mappings), up to 3 dimensions, only in products of `2` cubes; -2. Type of mapping from a shape (including curried mappings), up to 3 dimensions, only in products of `2` cubes. -3. Mappings from a shape that is a section of an existing shape. - -The rendering assigns the following colors: - -- black is assigned for parameters (context) variables; -- blue is used for fillings for types (e.g. for `hom` and `hom2`); -- red is used for terms (e.g. `Segal-comp-witness`); -- pink is used for shapes in the tope layer; -- grey is used for discarded parts of a (larger) mapping (e.g. when extracting a diagonal/face from a larger shape). - Minor changes: - Exit with non-zero code upon a type error (see b135c4fb) From 0458afe9f484da67610f57b6075124772c41bba7 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 17:01:55 +0300 Subject: [PATCH 21/26] Scale SVG x1.5 by default --- docs/docs/rzk-1/render.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/docs/docs/rzk-1/render.md b/docs/docs/rzk-1/render.md index c362f510a..a1d9fd153 100644 --- a/docs/docs/rzk-1/render.md +++ b/docs/docs/rzk-1/render.md @@ -33,7 +33,7 @@ The SVG pictures can be inserted directly into `.md` files before a correspondin ```html @@ -392,7 +392,7 @@ If a term is extracted as a part of a larger shape, generally, the whole shape w @@ -412,4 +412,4 @@ If a term is extracted as a part of a larger shape, generally, the whole shape w text-anchor: middle; } - \ No newline at end of file + From 958e77ae2901a45b38c944214285cac628800fb0 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 17:13:56 +0300 Subject: [PATCH 22/26] Fix #33 (missing check), limit full label length to 30 --- rzk/src/Rzk/TypeCheck.hs | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/rzk/src/Rzk/TypeCheck.hs b/rzk/src/Rzk/TypeCheck.hs index b4d869a1e..485c45787 100644 --- a/rzk/src/Rzk/TypeCheck.hs +++ b/rzk/src/Rzk/TypeCheck.hs @@ -2190,6 +2190,7 @@ infer tt = performing (ActionInfer tt) $ case tt of tope' <- typecheck tope topeT term' <- localTope tope' $ typecheck term ty' return (tope', term') + sequence_ [ checkCoherence l r | l:rs'' <- tails rs', r <- rs'' ] return (typeRestrictedT ty' rs') checkCoherence @@ -2727,7 +2728,10 @@ renderCube camera rotY renderDataOf' = unlines $ filter (not . null) case renderDataOf' shapeId of Nothing -> Nothing Just RenderObjectData{..} -> Just RenderObjectData - { renderObjectDataLabel = hideWhenLargerThan shapeId 5 renderObjectDataLabel , .. } + -- FIXME: move constants to configurable parameters + { renderObjectDataLabel = hideWhenLargerThan shapeId 5 renderObjectDataLabel + , renderObjectDataFullLabel = limitLength 30 renderObjectDataFullLabel + , .. } hideWhenLargerThan shapeId n s | null s || length s > n = if '-' `elem` shapeId then "" else "•" From 4bc4350f901596c9078d168c55247fb7428aeafb Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 17:14:17 +0300 Subject: [PATCH 23/26] Update demo image in README --- README.md | 2 +- images/split-demo-render.png | Bin 0 -> 846141 bytes 2 files changed, 1 insertion(+), 1 deletion(-) create mode 100644 images/split-demo-render.png diff --git a/README.md b/README.md index f337b0570..9d15dee80 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@ An experimental proof assistant for synthetic ∞-categories. -[![Early prototype demo.](images/split-demo.png)](https://fizruk.github.io/rzk/) +[![Early prototype demo.](images/split-demo-render.png)](https://fizruk.github.io/rzk/) ## About this project diff --git a/images/split-demo-render.png b/images/split-demo-render.png new file mode 100644 index 0000000000000000000000000000000000000000..a98b752d6f01ada2461ea6faa31181aec69b35d2 GIT binary patch literal 846141 zcmbq*bzBu&_xDf&A|VJWAtfL!C0(L)Nq6@lq`L$`5drBArMsI$Dc#*6ap>-Rhx@4a zd9K&rKQEupIWuQw?=@?$z4nUl+QWNUX%Y0>__qN7Ko=8zAqM~$;3*0T$}RAq2_<|9 z0Jn2Yg@k0qgoH?BZLEw;%?$xS^nFAWvaI|np4YYOpwM%PcXrRM2Gjv+($c;(pG@D! z0#8V9y$K*v)o8?h`2z9Yw}2;=G%xW8K9AucA#I=)zk9N-*XY+#(}3l0-0f;L6T@i> zb=^Ac<-F!UPU5@|6!VBY7WY|#6TNTrUdWwirJt$DZtAI*H-0ieq|-ES6c9~H3I}{r 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zN7vCRyCrU<6cfXBju+d+FS~qaE9(RV)RZrZh`y23QjY#PU}b)eQB&iz4FbM)VnD%I z{R-Y~W0IUU!C3v`->AJJ`5!ZS#xI!WjXLx@`s!SH4&Iib^!q-Rb;KBtR$exEZ?kKQ}{Tx5976 zXkVKm-Dr=J5cI>&TSJbsZ~u^mRlid%>JtTytZDC%D_8gwg&~OAT`1Kxv_{52j4Oq- z4hFp7K3@*yxoWP3aH|D=a5A3h)_A@QC|ZI${r2ZCOM1FkM{tHu-|lP&#!?7hr8~X* z9`{K`xN5m{q+plLwRs%cakD-u8JvND?@nbK&mQ}DIBmQ)EL1% z*pwA$YY$eZrDN-CFU*`iHgW?JS6Ahj?XXiogCg`G2X7qrk9Ny(W7dITy2mTlTKRZe ztMK|M_S-jOHSC1jr$Yr=E>9=88RqEHjt|Hfuac+)n{}W5|-!o3`Cn-0d zQ(*w=P8!aP1DFc4o&34qIV^V-!AhHaw0n5eRLPDBo(5P7|J1X84n3I#OvSTs{ddrd zW|HdEUwdBo-=q5Tw=G=3+b`hvCfNV2M8p!nRD$9!9{*hsfs!P+m(zZOmXM(Ya}&HW z`xnyZetbC#B+I}xQyDzsyaoaPp2#Xc KMBO)j`TqdNh#$59 literal 0 HcmV?d00001 From 8b8020a29ecb3125158630729e9550b82d3a2652 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 17:14:33 +0300 Subject: [PATCH 24/26] Bump version and update changelog --- rzk/ChangeLog.md | 2 +- rzk/package.yaml | 2 +- rzk/rzk.cabal | 4 ++-- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/rzk/ChangeLog.md b/rzk/ChangeLog.md index 0b1e5464b..2065a22b1 100644 --- a/rzk/ChangeLog.md +++ b/rzk/ChangeLog.md @@ -6,7 +6,7 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to the [Haskell Package Versioning Policy](https://pvp.haskell.org/). -## Unreleased +## v0.3.0 — 2022-04-28 This version introduces an experimental feature for generating visualisations for simplicial terms in SVG. To enable rendering, enable option `"render" = "svg"` (to disable, `"render" = "none"`): diff --git a/rzk/package.yaml b/rzk/package.yaml index a60851c13..8ff8fef17 100644 --- a/rzk/package.yaml +++ b/rzk/package.yaml @@ -1,5 +1,5 @@ name: rzk -version: 0.2.0 +version: 0.3.0 github: "fizruk/rzk" license: BSD3 author: "Nikolai Kudasov" diff --git a/rzk/rzk.cabal b/rzk/rzk.cabal index d1f374483..1f2905484 100644 --- a/rzk/rzk.cabal +++ b/rzk/rzk.cabal @@ -4,10 +4,10 @@ cabal-version: 1.12 -- -- see: https://github.com/sol/hpack -- --- hash: e731bc697ba22a070995646c30c641e0805466b3cabb2fdf377ce74e07985a32 +-- hash: 7855530fcdfd2a28c4ea3654677ed2d18f83d419f5d1c173f4bb44a915464c06 name: rzk -version: 0.2.0 +version: 0.3.0 synopsis: An experimental proof assistant for synthetic ∞-categories description: Please see the README on GitHub at category: Dependent Types From f6db51d010eaf006cecd2f8307889565e651be0a Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 17:16:34 +0300 Subject: [PATCH 25/26] Update changelog --- rzk/ChangeLog.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/rzk/ChangeLog.md b/rzk/ChangeLog.md index 2065a22b1..1f5efdf65 100644 --- a/rzk/ChangeLog.md +++ b/rzk/ChangeLog.md @@ -20,6 +20,11 @@ Minor changes: - Exit with non-zero code upon a type error (see b135c4fb) - Fix external links and some typos in the documentation +Fixes: + +- Fixed an issue with tope solver when context was empty (see 6196af9e); +- Fixed #33 (missing coherence check for restricted types). + ## v0.2.0 - 2022-04-20 This version was a complete rewrite of the proof assistant, using a new parser, a new internal representation, and a rewrite of the typechecking logic. This is still a prototype, but, arguably, significantly more stable and manageable than version 0.1.0. From 4a71bf2d27be363fe6fc4e2accdf99a7c4dde567 Mon Sep 17 00:00:00 2001 From: Nikolai Kudasov Date: Fri, 28 Apr 2023 20:24:34 +0300 Subject: [PATCH 26/26] Update changelog link --- docs/docs/rzk-1/introduction.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/docs/rzk-1/introduction.md b/docs/docs/rzk-1/introduction.md index 8135bfcb8..8cd6fa6ca 100644 --- a/docs/docs/rzk-1/introduction.md +++ b/docs/docs/rzk-1/introduction.md @@ -3,7 +3,7 @@ !!! warning "Work-in-progress" The documentation is not yet up-to-date with all the changes introduced in `rzk-0.2.0`.
- See [`rzk` changelog](https://github.com/fizruk/rzk/blob/release-v0.2.0/rzk/ChangeLog.md#v020---2022-04-20) for more details. + See [`rzk` changelog](https://github.com/fizruk/rzk/blob/release-v0.3.0/rzk/ChangeLog.md#v020---2022-04-20) for more details. `rzk` is an experimental proof assistant for synthetic ∞-categories. `rzk-1` is an early version of the language supported by `rzk`.