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aasam 0.1.0.0 → 0.2.0.0

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@@ -1,201 +1,201 @@-                                 Apache License
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+                                 Apache License+                           Version 2.0, January 2004+                        http://www.apache.org/licenses/++   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION++   1. Definitions.++      "License" shall mean the terms and conditions for use, reproduction,+      and distribution as defined by Sections 1 through 9 of this document.++      "Licensor" shall mean the copyright owner or entity authorized by+      the copyright owner that is granting the License.++      "Legal Entity" shall mean the union of the acting entity and all+      other entities that control, are controlled by, or are under common+      control with that entity. For the purposes of this definition,+      "control" means (i) the power, direct or indirect, to cause the+      direction or management of such entity, whether by contract or+      otherwise, or (ii) ownership of fifty percent (50%) or more of the+      outstanding shares, or (iii) beneficial ownership of such entity.++      "You" (or "Your") shall mean an individual or Legal Entity+      exercising permissions granted by this License.++      "Source" form shall mean the preferred form for making modifications,+      including but not limited to software source code, documentation+      source, and configuration files.++      "Object" form shall mean any form resulting from mechanical+      transformation or translation of a Source form, including but+      not limited to compiled object code, generated documentation,+      and conversions to other media types.++      "Work" shall mean the work of authorship, whether in Source or+      Object form, made available under the License, as indicated by a+      copyright notice that is included in or attached to the work+      (an example is provided in the Appendix below).++      "Derivative Works" shall mean any work, whether in Source or Object+      form, that is based on (or derived from) the Work and for which the+      editorial revisions, annotations, elaborations, or other modifications+      represent, as a whole, an original work of authorship. For the purposes+      of this License, Derivative Works shall not include works that remain+      separable from, or merely link (or bind by name) to the interfaces of,+      the Work and Derivative Works thereof.++      "Contribution" shall mean any work of authorship, including+      the original version of the Work and any modifications or additions+      to that Work or Derivative Works thereof, that is intentionally+      submitted to Licensor for inclusion in the Work by the copyright owner+      or by an individual or Legal Entity authorized to submit on behalf of+      the copyright owner. For the purposes of this definition, "submitted"+      means any form of electronic, verbal, or written communication sent+      to the Licensor or its representatives, including but not limited to+      communication on electronic mailing lists, source code control systems,+      and issue tracking systems that are managed by, or on behalf of, the+      Licensor for the purpose of discussing and improving the Work, but+      excluding communication that is conspicuously marked or otherwise+      designated in writing by the copyright owner as "Not a Contribution."++      "Contributor" shall mean Licensor and any individual or Legal Entity+      on behalf of whom a Contribution has been received by Licensor and+      subsequently incorporated within the Work.++   2. Grant of Copyright License. Subject to the terms and conditions of+      this License, each Contributor hereby grants to You a perpetual,+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable+      copyright license to reproduce, prepare Derivative Works of,+      publicly display, publicly perform, sublicense, and distribute the+      Work and such Derivative Works in Source or Object form.++   3. Grant of Patent License. Subject to the terms and conditions of+      this License, each Contributor hereby grants to You a perpetual,+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable+      (except as stated in this section) patent license to make, have made,+      use, offer to sell, sell, import, and otherwise transfer the Work,+      where such license applies only to those patent claims licensable+      by such Contributor that are necessarily infringed by their+      Contribution(s) alone or by combination of their Contribution(s)+      with the Work to which such Contribution(s) was submitted. If You+      institute patent litigation against any entity (including a+      cross-claim or counterclaim in a lawsuit) alleging that the Work+      or a Contribution incorporated within the Work constitutes direct+      or contributory patent infringement, then any patent licenses+      granted to You under this License for that Work shall terminate+      as of the date such litigation is filed.++   4. Redistribution. You may reproduce and distribute copies of the+      Work or Derivative Works thereof in any medium, with or without+      modifications, and in Source or Object form, provided that You+      meet the following conditions:++      (a) You must give any other recipients of the Work or+          Derivative Works a copy of this License; and++      (b) You must cause any modified files to carry prominent notices+          stating that You changed the files; and++      (c) You must retain, in the Source form of any Derivative Works+          that You distribute, all copyright, patent, trademark, and+          attribution notices from the Source form of the Work,+          excluding those notices that do not pertain to any part of+          the Derivative Works; and++      (d) If the Work includes a "NOTICE" text file as part of its+          distribution, then any Derivative Works that You distribute must+          include a readable copy of the attribution notices contained+          within such NOTICE file, excluding those notices that do not+          pertain to any part of the Derivative Works, in at least one+          of the following places: within a NOTICE text file distributed+          as part of the Derivative Works; within the Source form or+          documentation, if provided along with the Derivative Works; or,+          within a display generated by the Derivative Works, if and+          wherever such third-party notices normally appear. The contents+          of the NOTICE file are for informational purposes only and+          do not modify the License. You may add Your own attribution+          notices within Derivative Works that You distribute, alongside+          or as an addendum to the NOTICE text from the Work, provided+          that such additional attribution notices cannot be construed+          as modifying the License.++      You may add Your own copyright statement to Your modifications and+      may provide additional or different license terms and conditions+      for use, reproduction, or distribution of Your modifications, or+      for any such Derivative Works as a whole, provided Your use,+      reproduction, and distribution of the Work otherwise complies with+      the conditions stated in this License.++   5. Submission of Contributions. Unless You explicitly state otherwise,+      any Contribution intentionally submitted for inclusion in the Work+      by You to the Licensor shall be under the terms and conditions of+      this License, without any additional terms or conditions.+      Notwithstanding the above, nothing herein shall supersede or modify+      the terms of any separate license agreement you may have executed+      with Licensor regarding such Contributions.++   6. Trademarks. This License does not grant permission to use the trade+      names, trademarks, service marks, or product names of the Licensor,+      except as required for reasonable and customary use in describing the+      origin of the Work and reproducing the content of the NOTICE file.++   7. Disclaimer of Warranty. Unless required by applicable law or+      agreed to in writing, Licensor provides the Work (and each+      Contributor provides its Contributions) on an "AS IS" BASIS,+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or+      implied, including, without limitation, any warranties or conditions+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A+      PARTICULAR PURPOSE. You are solely responsible for determining the+      appropriateness of using or redistributing the Work and assume any+      risks associated with Your exercise of permissions under this License.++   8. Limitation of Liability. In no event and under no legal theory,+      whether in tort (including negligence), contract, or otherwise,+      unless required by applicable law (such as deliberate and grossly+      negligent acts) or agreed to in writing, shall any Contributor be+      liable to You for damages, including any direct, indirect, special,+      incidental, or consequential damages of any character arising as a+      result of this License or out of the use or inability to use the+      Work (including but not limited to damages for loss of goodwill,+      work stoppage, computer failure or malfunction, or any and all+      other commercial damages or losses), even if such Contributor+      has been advised of the possibility of such damages.++   9. Accepting Warranty or Additional Liability. While redistributing+      the Work or Derivative Works thereof, You may choose to offer,+      and charge a fee for, acceptance of support, warranty, indemnity,+      or other liability obligations and/or rights consistent with this+      License. However, in accepting such obligations, You may act only+      on Your own behalf and on Your sole responsibility, not on behalf+      of any other Contributor, and only if You agree to indemnify,+      defend, and hold each Contributor harmless for any liability+      incurred by, or claims asserted against, such Contributor by reason+      of your accepting any such warranty or additional liability.++   END OF TERMS AND CONDITIONS++   APPENDIX: How to apply the Apache License to your work.++      To apply the Apache License to your work, attach the following+      boilerplate notice, with the fields enclosed by brackets "[]"+      replaced with your own identifying information. (Don't include+      the brackets!)  The text should be enclosed in the appropriate+      comment syntax for the file format. We also recommend that a+      file or class name and description of purpose be included on the+      same "printed page" as the copyright notice for easier+      identification within third-party archives.++   Copyright 2022 Alexander Lucas++   Licensed under the Apache License, Version 2.0 (the "License");+   you may not use this file except in compliance with the License.+   You may obtain a copy of the License at++       http://www.apache.org/licenses/LICENSE-2.0++   Unless required by applicable law or agreed to in writing, software+   distributed under the License is distributed on an "AS IS" BASIS,+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.+   See the License for the specific language governing permissions and+   limitations under the License.
README.md view
@@ -1,3 +1,3 @@-# aasam
-
-This project is a fully-extended implementation of the algorithm ℳ from Annika Aasa's "Precedences in specifications and implementations of programming languages". It provides an interface for converting distfix (mixfix) precedence grammars into unambiguous context-free grammars.
+# aasam++This project is a fully-extended implementation of the algorithm ℳ from Annika Aasa's "Precedences in specifications and implementations of programming languages". It provides an interface for converting distfix (mixfix) precedence grammars into unambiguous context-free grammars.
aasam.cabal view
@@ -1,41 +1,43 @@-cabal-version:      2.4
-name:               aasam
-version:            0.1.0.0
-license:            Apache-2.0
-license-file:       LICENSE
-maintainer:         mobotsar@protonmail.com
-author:             Alexander Lucas
-bug-reports:        https://gitlab.com/mobotsar/aasam
-synopsis:
-    Convert distfix precedence grammars to unambiguous context-free grammars.
-
-description:
-    This project is a fully-extended implementation of the algorithm ℳ from Annika Aasa's "Precedences in specifications and implementations of programming languages". It provides an interface for converting distfix (mixfix) precedence grammars into unambiguous context-free grammars.
-
-category:           parsing
-extra-source-files: README.md
-
-library
-    exposed-modules:  Aasam
-    hs-source-dirs:   lib
-    other-modules:
-        Util
-        Grammars
-
-    default-language: Haskell2010
-    build-depends:
-        base ^>=4.15.1.0,
-        containers >=0.6.4 && <0.7
-
-test-suite aasam-test
-    type:             exitcode-stdio-1.0
-    main-is:          AasamTest.hs
-    hs-source-dirs:   test
-    default-language: Haskell2010
-    build-depends:
-        base ^>=4.15.1.0,
-        HUnit ==1.6.2.0,
-        test-framework ==0.8.2.0,
-        test-framework-hunit ==0.3.0.2,
-        containers >=0.6.4 && <0.7,
-        aasam
+cabal-version:      2.4+name:               aasam+version:            0.2.0.0+license:            Apache-2.0+license-file:       LICENSE+maintainer:         mobotsar@protonmail.com+author:             Alexander Lucas+bug-reports:        https://gitlab.com/mobotsar/aasam+synopsis:+    Convert distfix precedence grammars to unambiguous context-free grammars.++description:+    This project is a fully-extended implementation of the algorithm ℳ from Annika Aasa's "Precedences in specifications and implementations of programming languages". It provides an interface for converting distfix (mixfix) precedence grammars into unambiguous context-free grammars.++category:           parsing+extra-source-files: README.md++library+    exposed-modules:  Aasam+    hs-source-dirs:   lib+    other-modules:+        Util+        Grammars++    default-language: Haskell2010+    build-depends:+        base ^>=4.15.1.0,+        containers >=0.6.4 && <0.7,+        text >= 1.2.5 && < 1.3++test-suite aasam-test+    type:             exitcode-stdio-1.0+    main-is:          AasamTest.hs+    hs-source-dirs:   test+    default-language: Haskell2010+    build-depends:+        base ^>=4.15.1.0,+        HUnit ==1.6.2.0,+        test-framework ==0.8.2.0,+        test-framework-hunit ==0.3.0.2,+        containers >=0.6.4 && <0.7,+        aasam,+        text >= 1.2.5 && < 1.3
lib/Aasam.hs view
@@ -1,291 +1,303 @@-module Aasam
-    ( m
-    , module Grammars
-    , AasamError(..)
-    ) where
-
-import Data.Function (on)
-import Data.List (groupBy)
-import qualified Data.List.NonEmpty as DLNe
-import Data.List.NonEmpty (NonEmpty((:|)))
-import Data.Set (Set, insert, union)
-import qualified Data.Set as Set
-import Grammars
-    ( CfgProduction
-    , CfgString
-    , ContextFree
-    , NonTerminal(..)
-    , Precedence
-    , PrecedenceProduction(..)
-    , Terminal(..)
-    )
-import Util ((>.), (|>), unwrapOr)
-
-import Data.Bifunctor (Bifunctor(bimap, second))
-import Data.Data (toConstr)
-import qualified Data.Foldable
-import qualified Data.List as List
-
-doGeneric :: PrecedenceProduction -> (Int -> NonEmpty String -> a) -> a
-doGeneric (Prefix prec words) f = f prec words
-doGeneric (Postfix prec words) f = f prec words
-doGeneric (Infixl prec words) f = f prec words
-doGeneric (Infixr prec words) f = f prec words
-doGeneric (Closed words) f = f 0 words
-
-getWords :: PrecedenceProduction -> [String]
-getWords = flip doGeneric (const DLNe.toList)
-
-prec :: PrecedenceProduction -> Int
-prec = flip doGeneric const
-
-nt :: Int -> Int -> Int -> NonTerminal
-nt prec p q = NonTerminal (show prec ++ show p ++ show q)
-
--- TODO: write a proper implementation of this that doesn't depend on List
-groupSetBy :: Ord a => (a -> a -> Bool) -> Set a -> Set (Set a)
-groupSetBy projection = Set.toList >. groupBy projection >. map Set.fromList >. Set.fromList
-
-makeClasses :: Precedence -> Set Precedence
-makeClasses = groupSetBy fixeq
-  where
-    fixeq = on (==) toConstr
-        -- equivalence relation of fixity on precedence productions
-
-type UniquenessPair = (PrecedenceProduction, Precedence)
-
--- This function returns a set of upairs. A upair contains a production of a single precedence on the left,
--- and the set of all productions of that precedence on the right (including the one on the left).
-classToPairSet :: Precedence -> Set UniquenessPair
-classToPairSet = groupSetBy preceq >. Set.map pair
-  where
-    pair :: Precedence -> UniquenessPair
-    pair prec = (Set.elemAt 0 prec, prec)
-    preceq :: PrecedenceProduction -> PrecedenceProduction -> Bool
-    preceq a b = prec a == prec b
-
-pairifyClasses :: Set Precedence -> Set (Set UniquenessPair)
-pairifyClasses = Set.map classToPairSet
-
-type PqQuad = (Int, Int, PrecedenceProduction, Precedence)
-
-pqboundUPair :: Set UniquenessPair -> Set UniquenessPair -> UniquenessPair -> PqQuad
-pqboundUPair pre post (r, s) = (greater pre $ prec r, greater post $ prec r, r, s)
-  where
-    greater :: Set UniquenessPair -> Int -> Int
-    greater upairs n = Set.size $ Set.filter ((n <) . prec . fst) upairs
-
-pqboundClasses :: Set UniquenessPair -> Set UniquenessPair -> Set (Set UniquenessPair) -> Set (Set PqQuad)
-pqboundClasses pre post = Set.map (Set.map (pqboundUPair pre post))
-
-intersperseStart :: NonEmpty String -> CfgString
-intersperseStart = DLNe.map (Left . Terminal) >. DLNe.intersperse (Right (NonTerminal "!start")) >. DLNe.toList
-
-fill :: Precedence -> Set CfgProduction -> Set CfgProduction
-fill s cfgprods = Set.union withTerminals withoutTerminals
-  where
-    (left, withoutTerminals) = Set.partition hasTerminal cfgprods
-      where
-        hasTerminal :: CfgProduction -> Bool
-        hasTerminal (_, words) = List.any isTerminal words
-    isTerminal :: Either Terminal NonTerminal -> Bool
-    isTerminal (Right (NonTerminal _)) = False
-    isTerminal (Left (Terminal _)) = True
-    withTerminals = fill' s left
-        -- TODO: write a proper implementation of this composition that doesn't depend on List
-      where
-        fill' :: Precedence -> Set CfgProduction -> Set CfgProduction
-        fill' s = Set.toList >. repeat >. zipWith reset (Set.toList s) >. concat >. Set.fromList
-          where
-            reset :: PrecedenceProduction -> [CfgProduction] -> [CfgProduction]
-            reset pp = map (second re)
-              where
-                re :: CfgString -> CfgString
-                re str =
-                    case pp of
-                        Infixl prec words -> kansas str words
-                        Infixr prec words -> kansas str words
-                        _ ->
-                            error
-                                "This is a bug in Aasam. Somehow, I got a CfgProduction that hasn't any terminals, or a Closed production."
-                  where
-                    kansas :: CfgString -> NonEmpty String -> CfgString
-                    kansas str words = List.head str : intersperseStart words ++ [List.last str]
-
--- The CE production on `closedrule` must go to a non-terminal.
--- Relevant terminals in these rules are all added by `fill`. Those added immediately in the rule bodies are just to signal to fill.
---   If an "evil" non-terminal appears anywhere in the output of a *rule fuctions, that's a bug.
-prerule :: Int -> Int -> PqQuad -> Set CfgProduction
-prerule p q (_, _, r, s) = fill s $ Set.singleton (nt (prec r) p q, [Right (nt (prec r - 1) (p + 1) q)])
-
-postrule :: Int -> Int -> PqQuad -> Set CfgProduction
-postrule p q (_, _, r, s) = fill s $ Set.singleton (nt (prec r) p q, [Right (nt (prec r - 1) p (q + 1))])
-
-inlrule :: Int -> Int -> PqQuad -> Set CfgProduction
-inlrule p q (_, _, r, s) = fill s $ Set.fromList [a, b]
-  where
-    a = (nt (prec r) p q, [Right (nt (prec r) 0 q), Left (Terminal "evil"), Right (nt (prec r - 1) p 0)])
-    b = (nt (prec r) p q, [Right (nt (prec r - 1) p q)])
-
-inrrule :: Int -> Int -> PqQuad -> Set CfgProduction
-inrrule p q (_, _, r, s) = fill s $ Set.fromList [a, b]
-  where
-    a = (nt (prec r) p q, [Right (nt (prec r - 1) 0 q), Left (Terminal "evil"), Right (nt (prec r) p 0)])
-    b = (nt (prec r) p q, [Right (nt (prec r - 1) p q)])
-
-closedrule :: Set UniquenessPair -> Set UniquenessPair -> Int -> Int -> PqQuad -> Set CfgProduction
-closedrule pres posts p q (_, _, r, s) = insert ae isets `union` jsets
-  where
-    ae :: CfgProduction
-    ae = (nt 0 p q, [Right (NonTerminal "CE")])
-    isets :: Set CfgProduction
-    isets = foldl (flip (union . ido)) Set.empty (zip (Set.toList pres) [1 .. p])
-      where
-        ido :: (UniquenessPair, Int) -> Set CfgProduction
-        ido ((r, s), i) =
-            Set.singleton
-                (nt 0 p q, intersperseStart (getWords r |> DLNe.fromList) ++ [Right (nt (prec r) (p - i) 0)])
-    jsets :: Set CfgProduction
-    jsets = foldl (flip (union . jdo)) Set.empty (zip (Set.toList posts) [1 .. q])
-      where
-        jdo :: (UniquenessPair, Int) -> Set CfgProduction
-        jdo ((r, s), j) =
-            Set.singleton
-                (nt 0 p q, Right (nt (prec r) 0 (q - j)) : intersperseStart (getWords r |> DLNe.fromList))
-
-convertClass :: (Int -> Int -> PqQuad -> Set CfgProduction) -> Set PqQuad -> Set CfgProduction
-convertClass rule = foldl (flip (union . psets)) Set.empty
-  where
-    psets (pbound, qbound, r, s) = foldl (flip (union . qsets)) Set.empty [0 .. pbound]
-      where
-        qsets p = foldl ((. flip (rule p) (pbound, qbound, r, s)) . union) Set.empty [0 .. qbound]
-
-convertClasses :: Set UniquenessPair -> Set UniquenessPair -> Set (Set PqQuad) -> Set CfgProduction
-convertClasses pres posts = Set.map convertClassBranching >. foldl union Set.empty
-  where
-    convertClassBranching :: Set PqQuad -> Set CfgProduction
-    convertClassBranching quads = convertClass rule quads
-      where
-        rule =
-            case Set.elemAt 0 quads of
-                (_, _, Infixl _ _, _) -> inlrule
-                (_, _, Infixr _ _, _) -> inrrule
-                (_, _, Prefix _ _, _) -> prerule
-                (_, _, Postfix _ _, _) -> postrule
-                (_, _, Closed _, _) -> closedrule pres posts
--- |The type of errors. Contains a list of strings, each of which describes an error of the input grammar.
-newtype AasamError =
-    AasamError [String]
-    deriving (Show, Eq, Ord)
-
--- |Takes a distfix precedence grammar. If there is an error, produces an 'AasamError', else produces a corresponding unambiguous context-free grammar.
---
--- All possible errors are enumerated in the documentation for 'Precedence'.
-m :: Precedence -> Either ContextFree AasamError
-m precg =
-    if null errors
-        then Left (nt highestPrecedence 0 0, addCes (assignStart prods))
-        else Right (AasamError errors)
-  where
-    errors :: [String]
-    errors = foldl fn [] [positive, noInitSubseq, noInitWhole, classesPrecDisjoint, precContinue]
-      where
-        fn :: [String] -> Maybe String -> [String]
-        fn a e =
-            case e of
-                Nothing -> a
-                Just err -> err : a
-        positive =
-            if all fn precg
-                then Nothing
-                else Just errstr
-          where
-            fn (Closed _) = True
-            fn x = prec x > 0
-            errstr = "All precedences must be positive integers."
-        noInitSubseq =
-            if Set.disjoint initials subsequents
-                then Nothing
-                else Just errstr
-          where
-            (initials, subsequents) = foldl fn (Set.empty, Set.empty) precg
-              where
-                fn (i, s) e = (insert (head words) i, (tail words |> Set.fromList) `union` s)
-                  where
-                    words = getWords e
-            errstr = "No initial word may also be a subsequent word of another production."
-        noInitWhole =
-            if all fx precg
-                then Nothing
-                else Just errstr
-          where
-            fx x = all fy precg
-              where
-                fy y = getWords x `notPrefixedBy` getWords y || x == y
-                  where
-                    notPrefixedBy :: Eq a => [a] -> [a] -> Bool
-                    notPrefixedBy [] [] = False
-                    notPrefixedBy (_:_) [] = False
-                    notPrefixedBy [] (_:_) = True
-                    notPrefixedBy (x:xs) (y:ys) = x /= y || notPrefixedBy xs ys
-            errstr = "No initial sequence of words may also be the whole sequence of another production."
-        classesPrecDisjoint =
-            if allDisjoint precGroups
-                then Nothing
-                else Just errstr
-          where
-            allDisjoint :: Ord a => [Set a] -> Bool
-            allDisjoint (x:xs) = all (Set.disjoint x) xs && allDisjoint xs
-            allDisjoint [] = True
-            precGroups :: [Set Int]
-            precGroups = List.map (foldl (flip (insert . prec)) Set.empty) (Set.toList classes)
-            errstr = "No precedence of a production of one fixity may also be the precedence of a production of another fixity."
-        precContinue =
-            if precedences == Set.fromList [lowestPrecedence .. highestPrecedence]
-                then Nothing
-                else Just errstr
-          where
-            errstr = "The set of precedences must be either empty or the set of integers between 1 and greatest precedence, inclusive."
-    classes = makeClasses precg
-    upairClasses = pairifyClasses classes
-    (pre, post) = (findBy isPre, findBy isPost)
-      where
-        isPre clas =
-            case Set.elemAt 0 clas of
-                (Prefix _ _, _) -> True
-                _ -> False
-        isPost clas =
-            case Set.elemAt 0 clas of
-                (Postfix _ _, _) -> True
-                _ -> False
-        findBy f = unwrapOr Set.empty $ Data.Foldable.find f upairClasses
-    prods = pqboundClasses pre post upairClasses |> convertClasses pre post
-    addCes :: Set CfgProduction -> Set CfgProduction
-    addCes = union ces
-      where
-        ces :: Set CfgProduction
-        ces =
-            Set.filter isClosed precg |>
-            Set.map (\(Closed words) -> (NonTerminal "CE", intersperseStart words))
-          where
-            isClosed :: PrecedenceProduction -> Bool
-            isClosed (Closed _) = True
-            isClosed _ = False
-    assignStart :: Set CfgProduction -> Set CfgProduction
-    assignStart = Set.map $ bimap lhsMap rhsMap
-      where
-        lhsMap :: NonTerminal -> NonTerminal
-        lhsMap lhs =
-            if lhs == NonTerminal "!start"
-                then nt highestPrecedence 0 0
-                else lhs
-        rhsMap = map submap
-          where
-            submap :: Either Terminal NonTerminal -> Either Terminal NonTerminal
-            submap (Right x) = Right $ lhsMap x
-            submap y = y
-    (highestPrecedence, lowestPrecedence, precedences) =
-        foldl
-            (\(ha, la, pa) e -> (max (prec e) ha, min (prec e) la, prec e `insert` pa))
-            (0, 0, Set.singleton 0)
-            precg
+module Aasam+    ( m+    , module Grammars+    , AasamError(..)+    ) where++import Data.Function (on)+import Data.List (groupBy)+import qualified Data.List.NonEmpty as DLNe+import Data.List.NonEmpty (NonEmpty((:|)))+import Data.Set (Set, insert, union)+import qualified Data.Set as Set+import Grammars+    ( CfgProduction+    , CfgString+    , ContextFree+    , NonTerminal(..)+    , Precedence+    , PrecedenceProduction(..)+    , Terminal(..)+    )+import Util ((>.), (|>), unwrapOr)++import Data.Bifunctor (Bifunctor(bimap, second))+import Data.Data (toConstr)+import qualified Data.Foldable+import qualified Data.List as List++import qualified Data.Text as Text+import Data.Text (Text)++doGeneric :: PrecedenceProduction -> (Int -> NonEmpty Text -> a) -> a+doGeneric (Prefix prec words) f = f prec words+doGeneric (Postfix prec words) f = f prec words+doGeneric (Infixl prec words) f = f prec words+doGeneric (Infixr prec words) f = f prec words+doGeneric (Closed words) f = f 0 words++getWords :: PrecedenceProduction -> [Text]+getWords = flip doGeneric (const DLNe.toList)++prec :: PrecedenceProduction -> Int+prec = flip doGeneric const++nt :: Int -> Int -> Int -> NonTerminal+nt prec p q = (NonTerminal . Text.pack) (show prec ++ show p ++ show q)++-- TODO: write a proper implementation of this that doesn't depend on List+groupSetBy :: Ord a => (a -> a -> Bool) -> Set a -> Set (Set a)+groupSetBy projection = Set.toList >. groupBy projection >. map Set.fromList >. Set.fromList++makeClasses :: Precedence -> Set Precedence+makeClasses = groupSetBy fixeq+  where+    fixeq = on (==) toConstr+        -- equivalence relation of fixity on precedence productions++type UniquenessPair = (PrecedenceProduction, Precedence)++-- This function returns a set of upairs. A upair contains a production of a single precedence on the left,+-- and the set of all productions of that precedence on the right (including the one on the left).+classToPairSet :: Precedence -> Set UniquenessPair+classToPairSet = groupSetBy preceq >. Set.map pair+  where+    pair :: Precedence -> UniquenessPair+    pair prec = (Set.elemAt 0 prec, prec)+    preceq :: PrecedenceProduction -> PrecedenceProduction -> Bool+    preceq a b = prec a == prec b++pairifyClasses :: Set Precedence -> Set (Set UniquenessPair)+pairifyClasses = Set.map classToPairSet++type PqQuad = (Int, Int, PrecedenceProduction, Precedence)++pqboundUPair :: Set UniquenessPair -> Set UniquenessPair -> UniquenessPair -> PqQuad+pqboundUPair pre post (r, s) = (greater pre $ prec r, greater post $ prec r, r, s)+  where+    greater :: Set UniquenessPair -> Int -> Int+    greater upairs n = Set.size $ Set.filter ((n <) . prec . fst) upairs++pqboundClasses :: Set UniquenessPair -> Set UniquenessPair -> Set (Set UniquenessPair) -> Set (Set PqQuad)+pqboundClasses pre post = Set.map (Set.map (pqboundUPair pre post))++intersperseStart :: NonEmpty Text -> CfgString+intersperseStart =+    DLNe.map (Left . Terminal) >. DLNe.intersperse (Right ((NonTerminal . Text.pack) "!start")) >. DLNe.toList++fill :: Precedence -> Set CfgProduction -> Set CfgProduction+fill s cfgprods = Set.union withTerminals withoutTerminals+  where+    (left, withoutTerminals) = Set.partition hasTerminal cfgprods+      where+        hasTerminal :: CfgProduction -> Bool+        hasTerminal (_, words) = List.any isTerminal words+    isTerminal :: Either Terminal NonTerminal -> Bool+    isTerminal (Right (NonTerminal _)) = False+    isTerminal (Left (Terminal _)) = True+    withTerminals = fill' s left+        -- TODO: write a proper implementation of this composition that doesn't depend on List+      where+        fill' :: Precedence -> Set CfgProduction -> Set CfgProduction+        fill' s = Set.toList >. repeat >. zipWith reset (Set.toList s) >. concat >. Set.fromList+          where+            reset :: PrecedenceProduction -> [CfgProduction] -> [CfgProduction]+            reset pp = map (second re)+              where+                re :: CfgString -> CfgString+                re str =+                    case pp of+                        Infixl prec words -> kansas str words+                        Infixr prec words -> kansas str words+                        _ ->+                            error+                                "This is a bug in Aasam. Somehow, I got a CfgProduction that hasn't any terminals, or a Closed production."+                  where+                    kansas :: CfgString -> NonEmpty Text -> CfgString+                    kansas str words = List.head str : intersperseStart words ++ [List.last str]++-- The CE production on `closedrule` must go to a non-terminal.+-- Relevant terminals in these rules are all added by `fill`. Those added immediately in the rule bodies are just to signal to fill.+--   If an "evil" non-terminal appears anywhere in the output of a *rule fuctions, that's a bug.+prerule :: Int -> Int -> PqQuad -> Set CfgProduction+prerule p q (_, _, r, s) = fill s $ Set.singleton (nt (prec r) p q, [Right (nt (prec r - 1) (p + 1) q)])++postrule :: Int -> Int -> PqQuad -> Set CfgProduction+postrule p q (_, _, r, s) = fill s $ Set.singleton (nt (prec r) p q, [Right (nt (prec r - 1) p (q + 1))])++inlrule :: Int -> Int -> PqQuad -> Set CfgProduction+inlrule p q (_, _, r, s) = fill s $ Set.fromList [a, b]+  where+    a =+        ( nt (prec r) p q+        , [Right (nt (prec r) 0 q), Left ((Terminal . Text.pack) "evil"), Right (nt (prec r - 1) p 0)])+    b = (nt (prec r) p q, [Right (nt (prec r - 1) p q)])++inrrule :: Int -> Int -> PqQuad -> Set CfgProduction+inrrule p q (_, _, r, s) = fill s $ Set.fromList [a, b]+  where+    a =+        ( nt (prec r) p q+        , [Right (nt (prec r - 1) 0 q), Left ((Terminal . Text.pack) "evil"), Right (nt (prec r) p 0)])+    b = (nt (prec r) p q, [Right (nt (prec r - 1) p q)])++closedrule :: Set UniquenessPair -> Set UniquenessPair -> Int -> Int -> PqQuad -> Set CfgProduction+closedrule pres posts p q (_, _, r, s) = insert ae isets `union` jsets+  where+    ae = (nt 0 p q, [Right ((NonTerminal . Text.pack) "CE")])+    isets :: Set CfgProduction+    isets = foldl (flip (union . ido)) Set.empty (zip (Set.toList pres) [1 .. p])+      where+        ido :: (UniquenessPair, Int) -> Set CfgProduction+        ido ((r, s), i) =+            Set.singleton+                (nt 0 p q, intersperseStart (getWords r |> DLNe.fromList) ++ [Right (nt (prec r) (p - i) 0)])+    jsets :: Set CfgProduction+    jsets = foldl (flip (union . jdo)) Set.empty (zip (Set.toList posts) [1 .. q])+      where+        jdo :: (UniquenessPair, Int) -> Set CfgProduction+        jdo ((r, s), j) =+            Set.singleton+                (nt 0 p q, Right (nt (prec r) 0 (q - j)) : intersperseStart (getWords r |> DLNe.fromList))++convertClass :: (Int -> Int -> PqQuad -> Set CfgProduction) -> Set PqQuad -> Set CfgProduction+convertClass rule = foldl (flip (union . psets)) Set.empty+  where+    psets (pbound, qbound, r, s) = foldl (flip (union . qsets)) Set.empty [0 .. pbound]+      where+        qsets p = foldl ((. flip (rule p) (pbound, qbound, r, s)) . union) Set.empty [0 .. qbound]++convertClasses :: Set UniquenessPair -> Set UniquenessPair -> Set (Set PqQuad) -> Set CfgProduction+convertClasses pres posts = Set.map convertClassBranching >. foldl union Set.empty+  where+    convertClassBranching :: Set PqQuad -> Set CfgProduction+    convertClassBranching quads = convertClass rule quads+      where+        rule =+            case Set.elemAt 0 quads of+                (_, _, Infixl _ _, _) -> inlrule+                (_, _, Infixr _ _, _) -> inrrule+                (_, _, Prefix _ _, _) -> prerule+                (_, _, Postfix _ _, _) -> postrule+                (_, _, Closed _, _) -> closedrule pres posts++-- |The type of errors. Contains a list of strings, each of which describes an error of the input grammar.+newtype AasamError =+    AasamError [Text]+    deriving (Show, Eq, Ord)++-- |Takes a distfix precedence grammar. If there is an error, produces an 'AasamError', else produces a corresponding unambiguous context-free grammar.+--+-- All possible errors are enumerated in the documentation for 'Precedence'.+m :: Precedence -> Either AasamError ContextFree+m precg =+    if null errors+        then Right (nt highestPrecedence 0 0, assignStart (addCes prods))+        else Left (AasamError errors)+  where+    errors = foldl fn [] [positive, noInitSubseq, noInitWhole, classesPrecDisjoint, precContinue]+      where+        fn :: [Text] -> Maybe Text -> [Text]+        fn a e =+            case e of+                Nothing -> a+                Just err -> err : a+        positive =+            if all fn precg+                then Nothing+                else Just errstr+          where+            fn (Closed _) = True+            fn x = prec x > 0+            errstr = Text.pack "All precedences must be positive integers."+        noInitSubseq =+            if Set.disjoint initials subsequents+                then Nothing+                else Just errstr+          where+            (initials, subsequents) = foldl fn (Set.empty, Set.empty) precg+              where+                fn (i, s) e = (insert (head words) i, (tail words |> Set.fromList) `union` s)+                  where+                    words = getWords e+            errstr = Text.pack "No initial word may also be a subsequent word of another production."+        noInitWhole =+            if all fx precg+                then Nothing+                else Just errstr+          where+            fx x = all fy precg+              where+                fy y = getWords x `notPrefixedBy` getWords y || x == y+                  where+                    notPrefixedBy :: Eq a => [a] -> [a] -> Bool+                    notPrefixedBy [] [] = False+                    notPrefixedBy (_:_) [] = False+                    notPrefixedBy [] (_:_) = True+                    notPrefixedBy (x:xs) (y:ys) = x /= y || notPrefixedBy xs ys+            errstr =+                Text.pack "No initial sequence of words may also be the whole sequence of another production."+        classesPrecDisjoint =+            if allDisjoint precGroups+                then Nothing+                else Just errstr+          where+            allDisjoint :: Ord a => [Set a] -> Bool+            allDisjoint (x:xs) = all (Set.disjoint x) xs && allDisjoint xs+            allDisjoint [] = True+            precGroups :: [Set Int]+            precGroups = List.map (foldl (flip (insert . prec)) Set.empty) (Set.toList classes)+            errstr =+                Text.pack+                    "No precedence of a production of one fixity may also be the precedence of a production of another fixity."+        precContinue =+            if precedences == Set.fromList [lowestPrecedence .. highestPrecedence]+                then Nothing+                else Just errstr+          where+            errstr =+                Text.pack+                    "The set of precedences must be either empty or the set of integers between 1 and greatest precedence, inclusive."+    classes = makeClasses precg+    upairClasses = pairifyClasses classes+    (pre, post) = (findBy isPre, findBy isPost)+      where+        isPre clas =+            case Set.elemAt 0 clas of+                (Prefix _ _, _) -> True+                _ -> False+        isPost clas =+            case Set.elemAt 0 clas of+                (Postfix _ _, _) -> True+                _ -> False+        findBy f = unwrapOr Set.empty $ Data.Foldable.find f upairClasses+    prods = pqboundClasses pre post upairClasses |> convertClasses pre post+    addCes :: Set CfgProduction -> Set CfgProduction+    addCes = union ces+      where+        ces :: Set CfgProduction+        ces =+            Set.filter isClosed precg |>+            Set.map (\(Closed words) -> ((NonTerminal . Text.pack) "CE", intersperseStart words))+          where+            isClosed :: PrecedenceProduction -> Bool+            isClosed (Closed _) = True+            isClosed _ = False+    assignStart :: Set CfgProduction -> Set CfgProduction+    assignStart = Set.map $ bimap lhsMap rhsMap+      where+        lhsMap :: NonTerminal -> NonTerminal+        lhsMap lhs =+            if lhs == (NonTerminal . Text.pack) "!start"+                then nt highestPrecedence 0 0+                else lhs+        rhsMap = map submap+          where+            submap :: Either Terminal NonTerminal -> Either Terminal NonTerminal+            submap (Right x) = Right $ lhsMap x+            submap y = y+    (highestPrecedence, lowestPrecedence, precedences) =+        foldl+            (\(ha, la, pa) e -> (max (prec e) ha, min (prec e) la, prec e `insert` pa))+            (0, 0, Set.singleton 0)+            precg
lib/Grammars.hs view
@@ -1,51 +1,54 @@-{-# LANGUAGE DeriveDataTypeable #-}
-
-module Grammars where
-
-import Data.Data (Data, Typeable)
-import Data.List.NonEmpty (NonEmpty)
-import Data.Set (Set)
-import qualified Data.Set as Set
-
-newtype NonTerminal =
-    NonTerminal String
-    deriving (Eq, Ord, Show)
-
-newtype Terminal =
-    Terminal String
-    deriving (Eq, Ord, Show)
-
-type CfgString = [Either Terminal NonTerminal]
-
--- |The type of a context-free production. The left and right items correspond respectively to the left and right hand sides of a production rule.
-type CfgProduction = (NonTerminal, CfgString)
-
--- |The type of a context-free gramar. On the left the starting non-terminal, and on the right is the set of productions in the grammar.
-type ContextFree = (NonTerminal, Set CfgProduction)
-
--- |The type of a distfix precedence production.
---
--- Int parameters are precedences.
---
--- NonEmpty String parameters are lists of non-terminal symbols expressed as strings.
---  The particular data constructor used implies the interspersal pattern of non-terminals in the terminal list when the production is interpreted.
---  For example,
---
--- > Infixl 1 (fromList ["?", ":"])
--- corresponds to the left-associative production, E -> E ? E : E.
-data PrecedenceProduction
-    = Prefix Int (NonEmpty String)
-    | Postfix Int (NonEmpty String)
-    | Infixl Int (NonEmpty String)
-    | Infixr Int (NonEmpty String)
-    | Closed (NonEmpty String)
-    deriving (Eq, Ord, Show, Typeable, Data)
-
--- |The type of a distfix precedence grammar. The following must be true of any parameter to `Aasam.m`.
---
---      * All precedences must be positive integers.
---      * No initial word may also be a subsequent word of another production.
---      * No initial sequence of words may also be the whole sequence of another production.
---      * No precedence of a production of one fixity may also be the precedence of a production of another fixity.
---      * The set of precedences must be either empty or the set of integers between 1 and greatest precedence, inclusive.
-type Precedence = Set PrecedenceProduction
+{-# LANGUAGE DeriveDataTypeable #-}++module Grammars where++import Data.Data (Data, Typeable)+import Data.List.NonEmpty (NonEmpty)+import Data.Set (Set)+import qualified Data.Set as Set++import qualified Data.Text as Text+import Data.Text (Text)++newtype NonTerminal =+    NonTerminal Text+    deriving (Eq, Ord, Show)++newtype Terminal =+    Terminal Text+    deriving (Eq, Ord, Show)++type CfgString = [Either Terminal NonTerminal]++-- |The type of a context-free production. The left and right items correspond respectively to the left and right hand sides of a production rule.+type CfgProduction = (NonTerminal, CfgString)++-- |The type of a context-free grammar. On the left the starting non-terminal, and on the right is the set of productions in the grammar.+type ContextFree = (NonTerminal, Set CfgProduction)++-- |The type of a distfix precedence production.+--+-- Int parameters are precedences.+--+-- NonEmpty Text parameters are lists of terminal symbols expressed as strings.+-- A particular data constructor implies a corresponding interspersal pattern of non-terminals in the terminal list when the production is interpreted.+-- For example,+--+-- > Infixl 1 (fromList ["?", ":"])+-- corresponds to the left-associative production, E -> E ? E : E.+data PrecedenceProduction+    = Prefix Int (NonEmpty Text)+    | Postfix Int (NonEmpty Text)+    | Infixl Int (NonEmpty Text)+    | Infixr Int (NonEmpty Text)+    | Closed (NonEmpty Text)+    deriving (Eq, Ord, Show, Typeable, Data)++-- |The type of a distfix precedence grammar. The following must be true of any parameter to `Aasam.m`.+--+--      * All precedences must be positive integers.+--      * No initial word may also be a subsequent word of another production.+--      * No initial sequence of words may also be the whole sequence of another production.+--      * No precedence of a production of one fixity may also be the precedence of a production of another fixity.+--      * The set of precedences must be either empty or the set of integers between 1 and greatest precedence, inclusive.+type Precedence = Set PrecedenceProduction
lib/Util.hs view
@@ -1,18 +1,18 @@-module Util where
-
-infixl 5 >.
-
-(>.) :: (a -> b) -> (b -> c) -> a -> c
-(>.) = flip (.)
-
-infixl 4 |>
-
-(|>) :: a -> (a -> b) -> b
-(|>) x f = f x
-
-unwrapOr :: a -> Maybe a -> a
-unwrapOr _ (Just x) = x
-unwrapOr y _ = y
-
-tup :: a -> b -> (a, b)
-tup a b = (a, b)
+module Util where++infixl 5 >.++(>.) :: (a -> b) -> (b -> c) -> a -> c+(>.) = flip (.)++infixl 4 |>++(|>) :: a -> (a -> b) -> b+(|>) x f = f x++unwrapOr :: a -> Maybe a -> a+unwrapOr _ (Just x) = x+unwrapOr y _ = y++tup :: a -> b -> (a, b)+tup a b = (a, b)
test/AasamTest.hs view
@@ -1,64 +1,70 @@-{-# OPTIONS_GHC -Wno-unrecognised-pragmas #-}
-
-{-# HLINT ignore "Evaluate" #-}
-module Main
-    ( main
-    ) where
-
-import Aasam
-import qualified Data.List as List
-import Data.List.NonEmpty (fromList, xor)
-import qualified Data.Set as Set
-import Test.Framework (defaultMain)
-import Test.Framework.Providers.API (Test(Test))
-import Test.Framework.Providers.HUnit (hUnitTestToTests)
-import Test.HUnit (Assertable(assert), Assertion, Test(..), assertEqual)
-
-testMap :: (Eq a, Show a) => [(String, a, a)] -> [Test.HUnit.Test]
-testMap = List.map (\(label, x, y) -> TestLabel label (TestCase (assertEqual "" x y)))
-
-tests :: [Test.Framework.Providers.API.Test]
-tests = hUnitTestToTests $ TestList labeledTests
-
-main :: IO ()
-main = defaultMain tests
-
-empt :: [a]
-empt = []
-
-labeledTests :: [Test.HUnit.Test]
-labeledTests =
-    []
-    -- ++ testMap [("okay", Just 20, Just (Set.size (snd (un (m pg0)))))]
-     ++
-    testMap [("under", Nothing, Just (m pg2))]
-
-pg0 :: Precedence
-pg0 =
-    Set.fromList
-        [ Postfix 4 (fromList ["?"])
-        , Infixl 4 (fromList ["+"])
-        , Infixl 0 (fromList ["+"])
-        , Postfix 2 (fromList ["!", "?"])
-        , Closed (fromList ["int"])
-        ]
-
-un :: Either a b -> a
-un (Left x) = x
-un _ = error "fail"
-
-pg1 :: Set.Set PrecedenceProduction
-pg1 =
-    Set.fromList
-        [ Infixr 2 (fromList ["="])
-        , Prefix 1 (fromList ["λ", "."])
-        , Closed (fromList ["x"])
-        , Closed (fromList ["(", "$", ")"])
-        ]
-
-pg2 :: Set.Set PrecedenceProduction 
-pg2 = Set.empty
-
-d :: Maybe ContextFree -> ContextFree
-d (Just x) = x
-d Nothing = (NonTerminal "String", Set.empty)
+{-# OPTIONS_GHC -Wno-unrecognised-pragmas #-}++{-# HLINT ignore "Evaluate" #-}+module Main (main) where++import Aasam+import qualified Data.List as List+import Data.List.NonEmpty (fromList, NonEmpty)+import qualified Data.Set as Set+import Test.Framework (defaultMain)+import Test.Framework.Providers.API (Test(Test))+import Test.Framework.Providers.HUnit (hUnitTestToTests)+import Test.HUnit (Assertable(assert), Assertion, Test(..), assertEqual)++import qualified Data.Text as Text+import Data.Text (Text)++testMap :: (Eq a, Show a) => [(String, a, a)] -> [Test.HUnit.Test]+testMap = List.map (\(label, x, y) -> TestLabel label (TestCase (assertEqual "" x y)))++tests :: [Test.Framework.Providers.API.Test]+tests = hUnitTestToTests $ TestList labeledTests++fromList' :: [String] -> NonEmpty Text+fromList' = fromList . map Text.pack++main :: IO ()+main = defaultMain tests++empt :: [a]+empt = []++labeledTests :: [Test.HUnit.Test]+labeledTests =+    []+    -- ++ testMap [("okay", Just 20, Just (Set.size (snd (un (m pg0)))))]+     +++    testMap [("under", Nothing, Just (m pg2))]++pg0 :: Precedence+pg0 =+    Set.fromList+        [ Postfix 4 (fromList' ["?"])+        , Infixl 4 (fromList' ["+"])+        , Infixl 0 (fromList' ["+"])+        , Postfix 2 (fromList' ["!", "?"])+        , Closed (fromList' ["int"])+        ]++un :: Either a b -> a+un (Left x) = x+un _ = error "fail"++pg1 :: Set.Set PrecedenceProduction+pg1 =+    Set.fromList+        [ Infixr 2 (fromList' ["="])+        , Prefix 1 (fromList' ["λ", "."])+        , Closed (fromList' ["x"])+        , Closed (fromList' ["(", "$", ")"])+        ]++pg2 :: Set.Set PrecedenceProduction +pg2 = Set.fromList [Prefix 2 (fromList' ["if", " ", "then"]),+                    Prefix 1 (fromList' ["if", "then", "else"]),+                    Closed (fromList' ["x"])]++d :: Maybe ContextFree -> ContextFree+d (Just x) = x+d Nothing = ((NonTerminal . Text.pack) "", Set.empty)