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@@ -12,7 +12,7 @@
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-- GFC to GFCC compiler. AR Aug-Oct 2006
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-----------------------------------------------------------------------------
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module GF.Canon.CanonToGFCC (prCanon2gfcc) where
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module GF.Canon.CanonToGFCC (prCanon2gfcc, prCanon2f_gfcc) where
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import GF.Canon.AbsGFC
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import qualified GF.Canon.GFC as GFC
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@@ -30,6 +30,11 @@ import qualified GF.Infra.Modules as M
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import qualified GF.Infra.Option as O
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import GF.UseGrammar.Linear (expandLinTables, unoptimizeCanon)
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-- these are needed for FCFG printing and might be moved
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import GF.FCFG.ToFCFG (printFGrammar)
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import GF.Conversion.GFC (gfc2fcfg)
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import GF.Infra.Option (noOptions)
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import GF.Infra.Ident
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import GF.Data.Operations
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import GF.Text.UTF8
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@@ -44,12 +49,25 @@ prCanon2gfcc :: CanonGrammar -> String
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prCanon2gfcc =
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Pr.printTree . canon2gfcc . reorder . utf8Conv . canon2canon . normalize
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-- print FCFG corresponding to the GFCC
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prCanon2f_gfcc :: CanonGrammar -> String
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prCanon2f_gfcc =
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unlines . map printFGrammar . toFCFG .
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reorder . utf8Conv . canon2canon . normalizeNoOpt
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where
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toFCFG cgr@(M.MGrammar (am:cms)) =
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[gfc2fcfg noOptions (M.MGrammar [am,cm],c) | cm@(c,_) <- cms]
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-- gfc2fcfg :: Options -> (CanonGrammar, Ident) -> FGrammar
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-- This is needed to reorganize the grammar. GFCC has its own back-end optimization.
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-- But we need to have the canonical order in tables, created by valOpt
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normalize :: CanonGrammar -> CanonGrammar
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normalize = share . unoptimizeCanon . Sub.unSubelimCanon where
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share = M.MGrammar . map (shareModule valOpt) . M.modules --- allOpt
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-- for FCFG generation
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normalizeNoOpt = unoptimizeCanon . Sub.unSubelimCanon
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-- Generate GFCC from GFCM.
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-- this assumes a grammar translated by canon2canon
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@@ -115,20 +133,10 @@ reorder cg = M.MGrammar $
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cncs = sortBy (\ (x,_) (y,_) -> compare x y)
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[(lang, concr lang) | lang <- M.allConcretes cg abs]
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concr la = sortBy (\ (f,_) (g,_) -> compare f g)
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[finfo |
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[changeTyp finfo |
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(i,mo) <- mos, M.isModCnc mo, elem i (M.allExtends cg la),
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finfo <- tree2list (M.jments mo)]
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-- one grammar per language - needed for symtab generation
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repartition :: CanonGrammar -> [CanonGrammar]
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repartition cg = [M.partOfGrammar cg (lang,mo) |
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let abs = maybe (error "no abstract") id $ M.greatestAbstract cg,
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let mos = M.allModMod cg,
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lang <- M.allConcretes cg abs,
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let mo = errVal
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(error ("no module found for " ++ A.prt lang)) $ M.lookupModule cg lang
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]
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-- convert to UTF8 if not yet converted
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utf8Conv :: CanonGrammar -> CanonGrammar
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utf8Conv = M.MGrammar . map toUTF8 . M.modules where
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@@ -1,13 +1,4 @@
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The GFCC Grammar Format
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Aarne Ranta
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October 3, 2006
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Author's address:
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[``http://www.cs.chalmers.se/~aarne`` http://www.cs.chalmers.se/~aarne]
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% to compile: txt2tags -thtml --toc gfcc.txt
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==What is GFCC==
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GFCC is a low-level format for GF grammars. Its aim is to contain the minimum
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that is needed to process GF grammars at runtime. This minimality has three
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@@ -17,43 +8,25 @@ advantages:
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- simple definition of interpreters
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The idea is that all embedded GF applications are compiled to GFCC.
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The GF system would be primarily used as a compiler and as a grammar
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development tool.
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Since GFCC is implemented in BNFC, a parser of the format is readily
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available for C, C++, Haskell, Java, and OCaml. Also an XML
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representation is generated in BNFC. A
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[reference implementation ../]
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of linearization and some other functions has been written in Haskell.
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==GFCC vs. GFC==
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GFCC is aimed to replace GFC as the run-time grammar format. GFC was designed
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to be a run-time format, but also to
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support separate compilation of grammars, i.e.
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to store the results of compiling
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individual GF modules. But this means that GFC has to contain extra information,
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such as type annotations, which is only needed in compilation and not at
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GFCC is aimed to replace GFC as the run-time grammar format. GFC is designed
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to support separate compilation of grammars, to store the results of compiling
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individual GF modules. But this means it has to contain extra information,
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such as type information, which is only needed in compilation and not at
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run-time. In particular, the pattern matching syntax and semantics of GFC is
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complex and therefore difficult to implement in new platforms.
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The main differences of GFCC compared with GFC can be summarized as follows:
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- there are no modules, and therefore no qualified names
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The main novelties of GFCC compared with GFC can be summarized as follows:
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- a GFCC grammar is multilingual, and consists of a common abstract syntax
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together with one concrete syntax per language
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- there are no modules, and therefore no qualified names
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- records and tables are replaced by arrays
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- record labels and parameter values are replaced by integers
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- record projection and table selection are replaced by array indexing
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- there is (so far) no support for dependent types or higher-order abstract
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syntax (which would be easy to add, but make interpreters much more difficult
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to write)
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Here is an example of a GF grammar, consisting of three modules,
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as translated to GFCC. The representations are aligned, with the exceptions
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due to the alphabetical sorting of GFCC grammars.
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as translated to GFCC.
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```
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grammar Ex (Eng Swe);
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@@ -102,477 +75,3 @@ concrete Swe of Ex = { concrete Swe {
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} ;
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} ;
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```
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==The syntax of GFCC files==
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===Top level===
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A grammar has a header telling the name of the abstract syntax
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(often specifying an application domain), and the names of
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the concrete languages. The abstract syntax and the concrete
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syntaxes themselves follow.
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```
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Grammar ::= Header ";" Abstract ";" [Concrete] ";" ;
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Header ::= "grammar" CId "(" [CId] ")" ;
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Abstract ::= "abstract" "{" [AbsDef] "}" ";" ;
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Concrete ::= "concrete" CId "{" [CncDef] "}" ;
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```
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Abstract syntax judgements give typings and semantic definitions.
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Concrete syntax judgements give linearizations.
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```
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AbsDef ::= CId ":" Type "=" Exp ;
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CncDef ::= CId "=" Term ;
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```
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Also flags are possible, local to each "module" (i.e. abstract and concretes).
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```
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AbsDef ::= "%" CId "=" String ;
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CncDef ::= "%" CId "=" String ;
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```
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For the run-time system, the reference implementation in Haskell
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uses a structure that gives efficient look-up:
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```
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data GFCC = GFCC {
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absname :: CId ,
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cncnames :: [CId] ,
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abstract :: Abstr ,
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concretes :: Map CId Concr
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}
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data Abstr = Abstr {
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funs :: Map CId Type, -- find the type of a fun
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cats :: Map CId [CId] -- find the funs giving a cat
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}
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type Concr = Map CId Term
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```
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===Abstract syntax===
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Types are first-order function types built from
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category symbols. Syntax trees (``Exp``) are
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rose trees with the head (``Atom``) either a function
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constant, a metavariable, or a string, integer, or float
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literal.
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```
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Type ::= [CId] "->" CId ;
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Exp ::= "(" Atom [Exp] ")" ;
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Atom ::= CId ; -- function constant
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Atom ::= "?" ; -- metavariable
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Atom ::= String ; -- string literal
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Atom ::= Integer ; -- integer literal
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Atom ::= Double ; -- float literal
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```
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===Concrete syntax===
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Linearization terms (``Term``) are built as follows.
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```
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Term ::= "[" [Term] "]" ; -- array
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Term ::= Term "[" Term "]" ; -- access to indexed field
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Term ::= "(" [Term] ")" ; -- sequence with ++
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Term ::= Tokn ; -- token
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Term ::= "$" Integer ; -- argument subtree
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Term ::= Integer ; -- array index
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Term ::= "[|" [Term] "|]" ; -- free variation
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```
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Tokens are strings or (maybe obsolescent) prefix-dependent
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variant lists.
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```
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Tokn ::= String ;
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Tokn ::= "[" "pre" [String] "[" [Variant] "]" "]" ;
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Variant ::= [String] "/" [String] ;
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```
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Three special forms of terms are introduced by the compiler
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as optimizations. They can in principle be eliminated, but
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their presence makes grammars much more compact. Their semantics
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will be explained in a later section.
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```
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Term ::= CId ; -- global constant
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Term ::= "(" String "+" Term ")" ; -- prefix + suffix table
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Term ::= "(" Term "@" Term ")"; -- record parameter alias
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```
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Identifiers are like ``Ident`` in GF and GFC, except that
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the compiler produces constants prefixed with ``_`` in
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the common subterm elimination optimization.
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```
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token CId (('_' | letter) (letter | digit | '\'' | '_')*) ;
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```
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==The semantics of concrete syntax terms==
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===Linearization and realization===
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The linearization algorithm is essentially the same as in
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GFC: a tree is linearized by evaluating its linearization term
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in the environment of the linearizations of the subtrees.
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Literal atoms are linearized in the obvious way.
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The function also needs to know the language (i.e. concrete syntax)
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in which linearization is performed.
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```
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linExp :: GFCC -> CId -> Exp -> Term
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linExp mcfg lang tree@(Tr at trees) = case at of
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AC fun -> comp (Prelude.map lin trees) $ look fun
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AS s -> R [kks (show s)] -- quoted
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AI i -> R [kks (show i)]
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AF d -> R [kks (show d)]
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AM -> R [kks "?"] ---- TODO: proper lincat
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where
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lin = linExp mcfg lang
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comp = compute mcfg lang
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look = lookLin mcfg lang
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```
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The result of linearization is usually a record, which is realized as
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a string using the following algorithm.
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```
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realize :: Term -> String
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realize trm = case trm of
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R (t:_) -> realize t
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S ss -> unwords $ Prelude.map realize ss
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K (KS s) -> s
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K (KP s _) -> unwords s ---- prefix choice TODO
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W s t -> s ++ realize t
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FV (t:_) -> realize t
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```
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Since the order of record fields is not necessarily
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the same as in GF source,
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this realization does not work securely for
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categories whose lincats more than one field.
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===Term evaluation===
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Evaluation follows call-by-value order, with two environments
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needed:
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- the grammar (a concrete syntax) to give the global constants
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- an array of terms to give the subtree linearizations
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The code is cleaned from debugging information present in the working
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version.
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```
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compute :: GFCC -> CId -> [Term] -> Term -> Term
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compute mcfg lang args = comp where
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comp trm = case trm of
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P r (FV ts) -> FV $ Prelude.map (comp . P r) ts
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|
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P r p -> case (comp r, comp p) of
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-- for the suffix optimization
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(W s (R ss), p') -> case comp $ idx ss (getIndex p') of
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K (KS u) -> kks (s ++ u)
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(r', p') -> comp $ (getFields r') !! (getIndex p')
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|
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RP i t -> RP (comp i) (comp t)
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W s t -> W s (comp t)
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R ts -> R $ Prelude.map comp ts
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V i -> args !! (fromInteger i) -- already computed
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S ts -> S $ Prelude.filter (/= S []) $ Prelude.map comp ts
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F c -> comp $ lookLin mcfg lang -- not yet computed
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FV ts -> FV $ Prelude.map comp ts
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_ -> trm
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getIndex t = case t of
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C i -> fromInteger i
|
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RP p _ -> getIndex p
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|
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getFields t = case t of
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R rs -> rs
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RP _ r -> getFields r
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```
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===The special term constructors===
|
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|
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The three forms introduced by the compiler may a need special
|
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explanation.
|
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|
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Global constants
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```
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Term ::= CId ;
|
||||
```
|
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are shorthands for complex terms. They are produced by the
|
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compiler by (iterated) common subexpression elimination.
|
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They are often more powerful than hand-devised code sharing in the source
|
||||
code. They could be computed off-line by replacing each identifier by
|
||||
its definition.
|
||||
|
||||
Prefix-suffix tables
|
||||
```
|
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Term ::= "(" String "+" Term ")" ;
|
||||
```
|
||||
represent tables of word forms divided to the longest common prefix
|
||||
and its array of suffixes. In the example grammar above, we have
|
||||
```
|
||||
Sleep = [("sleep" + ["s",""])]
|
||||
```
|
||||
which in fact is equal to the array of full forms
|
||||
```
|
||||
["sleeps", "sleep"]
|
||||
```
|
||||
The power of this construction comes from the fact that suffix sets
|
||||
tend to be repeated in a language, and can therefore be collected
|
||||
by common subexpression elimination. It is this technique that
|
||||
explains the used syntax rather than the more accurate
|
||||
```
|
||||
"(" String "+" [String] ")"
|
||||
```
|
||||
since we want the suffix part to be a ``Term`` for the optimization to
|
||||
take effect.
|
||||
|
||||
The most curious construct of GFCC is the parameter array alias,
|
||||
```
|
||||
Term ::= "(" Term "@" Term ")";
|
||||
```
|
||||
This form is used as the value of parameter records, such as the type
|
||||
```
|
||||
{n : Number ; p : Person}
|
||||
```
|
||||
The problem with parameter records is their double role.
|
||||
They can be used like parameter values, as indices in selection,
|
||||
```
|
||||
VP.s ! {n = Sg ; p = P3}
|
||||
```
|
||||
but also as records, from which parameters can be projected:
|
||||
```
|
||||
{n = Sg ; p = P3}.n
|
||||
```
|
||||
Whichever use is selected as primary, a prohibitively complex
|
||||
case expression must be generated at compilation to GFCC to get the
|
||||
other use. The adopted
|
||||
solution is to generate a pair containing both a parameter value index
|
||||
and an array of indices of record fields. For instance, if we have
|
||||
```
|
||||
param Number = Sg | Pl ; Person = P1 | P2 | P3 ;
|
||||
```
|
||||
we get the encoding
|
||||
```
|
||||
{n = Sg ; p = P3} ---> (2 @ [0,2])
|
||||
```
|
||||
The GFCC computation rules are essentially
|
||||
```
|
||||
t [(i @ r)] = t[i]
|
||||
(i @ r) [j] = r[j]
|
||||
```
|
||||
|
||||
|
||||
==Compiling to GFCC==
|
||||
|
||||
Compilation to GFCC is performed by the GF grammar compiler, and
|
||||
GFCC interpreters need not know what it does. For grammar writers,
|
||||
however, it might be interesting to know what happens to the grammars
|
||||
in the process.
|
||||
|
||||
The compilation phases are the following
|
||||
+ translate GF source to GFC, as always in GF
|
||||
+ undo GFC back-end optimizations
|
||||
+ perform the ``values`` optimization to normalize tables
|
||||
+ create a symbol table mapping the GFC parameter and record types to
|
||||
fixed-size arrays, and parameter values and record labels to integers
|
||||
+ traverse the linearization rules replacing parameters and labels by integers
|
||||
+ reorganize the created GFC grammar so that it has just one abstract syntax
|
||||
and one concrete syntax per language
|
||||
+ apply UTF8 encoding to the grammar, if not yet applied (this is told by the
|
||||
``coding`` flag)
|
||||
+ translate the GFC syntax tree to a GFCC syntax tree, using a simple
|
||||
compositional mapping
|
||||
+ perform the word-suffix optimization on GFCC linearization terms
|
||||
+ perform subexpression elimination on each concrete syntax module
|
||||
+ print out the GFCC code
|
||||
|
||||
|
||||
Notice that a major part of the compilation is done within GFC, so that
|
||||
GFC-related tasks (such as parser generation) could be performed by
|
||||
using the old algorithms.
|
||||
|
||||
|
||||
===Problems in GFCC compilation===
|
||||
|
||||
Two major problems had to be solved in compiling GFC to GFCC:
|
||||
- consistent order of tables and records, to permit the array translation
|
||||
- run-time variables in complex parameter values.
|
||||
|
||||
|
||||
The current implementation is still experimental and may fail
|
||||
to generate correct code. Any errors remaining are likely to be
|
||||
related to the two problems just mentioned.
|
||||
|
||||
The order problem is solved in different ways for tables and records.
|
||||
For tables, the ``values`` optimization of GFC already manages to
|
||||
maintain a canonical order. But this order can be destroyed by the
|
||||
``share`` optimization. To make sure that GFCC compilation works properly,
|
||||
it is safest to recompile the GF grammar by using the ``values``
|
||||
optimization flag.
|
||||
|
||||
Records can be canonically ordered by sorting them by labels.
|
||||
In fact, this was done in connection of the GFCC work as a part
|
||||
of the GFC generation, to guarantee consistency. This means that
|
||||
e.g. the ``s`` field will in general no longer appear as the first
|
||||
field, even if it does so in the GF source code. But relying on the
|
||||
order of fields in a labelled record would be misplaced anyway.
|
||||
|
||||
The canonical form of records is further complicated by lock fields,
|
||||
i.e. dummy fields of form ``lock_C = <>``, which are added to grammar
|
||||
libraries to force intensionality of linearization types. The problem
|
||||
is that the absence of a lock field only generates a warning, not
|
||||
an error. Therefore a GFC grammar can contain objects of the same
|
||||
type with and without a lock field. This problem was solved in GFCC
|
||||
generation by just removing all lock fields (defined as fields whose
|
||||
type is the empty record type). This has the further advantage of
|
||||
(slightly) reducing the grammar size. More importantly, it is safe
|
||||
to remove lock fields, because they are never used in computation,
|
||||
and because intensional types are only needed in grammars reused
|
||||
as libraries, not in grammars used at runtime.
|
||||
|
||||
While the order problem is rather bureaucratic in nature, run-time
|
||||
variables are an interesting problem. They arise in the presence
|
||||
of complex parameter values, created by argument-taking constructors
|
||||
and parameter records. To give an example, consider the GF parameter
|
||||
type system
|
||||
```
|
||||
Number = Sg | Pl ;
|
||||
Person = P1 | P2 | P3 ;
|
||||
Agr = Ag Number Person ;
|
||||
```
|
||||
The values can be translated to integers in the expected way,
|
||||
```
|
||||
Sg = 0, Pl = 1
|
||||
P1 = 0, P2 = 1, P3 = 2
|
||||
Ag Sg P1 = 0, Ag Sg P2 = 1, Ag Sg P3 = 2,
|
||||
Ag Pl P1 = 3, Ag Pl P2 = 4, Ag Pl P3 = 5
|
||||
```
|
||||
However, an argument of ``Agr`` can be a run-time variable, as in
|
||||
```
|
||||
Ag np.n P3
|
||||
```
|
||||
This expression must first be translated to a case expression,
|
||||
```
|
||||
case np.n of {
|
||||
0 => 2 ;
|
||||
1 => 5
|
||||
}
|
||||
```
|
||||
which can then be translated to the GFCC term
|
||||
```
|
||||
[2,5][$0[$1]]
|
||||
```
|
||||
assuming that the variable $np$ is the first argument and that its
|
||||
$Number$ field is the second in the record.
|
||||
|
||||
This transformation of course has to be performed recursively, since
|
||||
there can be several run-time variables in a parameter value:
|
||||
```
|
||||
Ag np.n np.p
|
||||
```
|
||||
A similar transformation would be possible to deal with the double
|
||||
role of parameter records discussed above. Thus the type
|
||||
```
|
||||
RNP = {n : Number ; p : Person}
|
||||
```
|
||||
could be uniformly translated into the set ``{0,1,2,3,4,5}``
|
||||
as ``Agr`` above. Selections would be simple instances of indexing.
|
||||
But any projection from the record should be translated into
|
||||
a case expression,
|
||||
```
|
||||
rnp.n ===>
|
||||
case rnp of {
|
||||
0 => 0 ;
|
||||
1 => 0 ;
|
||||
2 => 0 ;
|
||||
3 => 1 ;
|
||||
4 => 1 ;
|
||||
5 => 1
|
||||
}
|
||||
```
|
||||
To avoid the code bloat resulting from this, we chose the alias representation
|
||||
which is easy enough to deal with in interpreters.
|
||||
|
||||
|
||||
|
||||
===Running the compiler and the GFCC interpreter===
|
||||
|
||||
GFCC generation is a part of the
|
||||
[developers' version http://www.cs.chalmers.se/Cs/Research/Language-technology/darcs/GF/doc/darcs.html]
|
||||
of GF since September 2006. To invoke the compiler, the flag
|
||||
``-printer=gfcc`` to the command
|
||||
``pm = print_multi`` is used. It is wise to recompile the grammar from
|
||||
source, since previously compiled libraries may not obey the canonical
|
||||
order of records. To ``strip`` the grammar before
|
||||
GFCC translation removes unnecessary interface references.
|
||||
Here is an example, performed in
|
||||
[example/bronzeage ../../../../../examples/bronzeage].
|
||||
```
|
||||
i -src -path=.:prelude:resource-1.0/* -optimize=all_subs BronzeageEng.gf
|
||||
i -src -path=.:prelude:resource-1.0/* -optimize=all_subs BronzeageGer.gf
|
||||
strip
|
||||
pm -printer=gfcc | wf bronze.gfcc
|
||||
```
|
||||
|
||||
|
||||
|
||||
==The reference interpreter==
|
||||
|
||||
The reference interpreter written in Haskell consists of the following files:
|
||||
```
|
||||
-- source file for BNFC
|
||||
GFCC.cf -- labelled BNF grammar of gfcc
|
||||
|
||||
-- files generated by BNFC
|
||||
AbsGFCC.hs -- abstrac syntax of gfcc
|
||||
ErrM.hs -- error monad used internally
|
||||
LexGFCC.hs -- lexer of gfcc files
|
||||
ParGFCC.hs -- parser of gfcc files and syntax trees
|
||||
PrintGFCC.hs -- printer of gfcc files and syntax trees
|
||||
|
||||
-- hand-written files
|
||||
DataGFCC.hs -- post-parser grammar creation, linearization and evaluation
|
||||
GenGFCC.hs -- random and exhaustive generation, generate-and-test parsing
|
||||
RunGFCC.hs -- main function - a simple command interpreter
|
||||
```
|
||||
It is included in the
|
||||
[developers' version http://www.cs.chalmers.se/Cs/Research/Language-technology/darcs/GF/doc/darcs.html]
|
||||
of GF, in the subdirectory [``GF/src/GF/Canon/GFCC`` ../].
|
||||
|
||||
To compile the interpreter, type
|
||||
```
|
||||
make gfcc
|
||||
```
|
||||
in ``GF/src``. To run it, type
|
||||
```
|
||||
./gfcc <GFCC-file>
|
||||
```
|
||||
The available commands are
|
||||
- ``gr <Cat> <Int>``: generate a number of random trees in category.
|
||||
and show their linearizations in all languages
|
||||
- ``grt <Cat> <Int>``: generate a number of random trees in category.
|
||||
and show the trees and their linearizations in all languages
|
||||
- ``gt <Cat> <Int>``: generate a number of trees in category from smallest,
|
||||
and show their linearizations in all languages
|
||||
- ``gtt <Cat> <Int>``: generate a number of trees in category from smallest,
|
||||
and show the trees and their linearizations in all languages
|
||||
- ``p <Int> <Cat> <String>``: "parse", i.e. generate trees until match or
|
||||
until the given number have been generated
|
||||
- ``<Tree>``: linearize tree in all languages, also showing full records
|
||||
- ``quit``: terminate the system cleanly
|
||||
|
||||
|
||||
==Some things to do==
|
||||
|
||||
Interpreters in Java and C++.
|
||||
|
||||
Parsing via MCFG
|
||||
- the FCFG format can possibly be simplified
|
||||
- parser grammars should be saved in files to make interpreters easier
|
||||
|
||||
|
||||
File compression of GFCC output.
|
||||
|
||||
Syntax editor based on GFCC.
|
||||
|
||||
Rewriting of resource libraries in order to exploit the
|
||||
word-suffix sharing better (depth-one tables, as in FM).
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -345,6 +345,7 @@ customMultiGrammarPrinter =
|
||||
[
|
||||
(strCI "gfcm", const MC.prCanon)
|
||||
,(strCI "gfcc", const GFCC.prCanon2gfcc)
|
||||
,(strCI "f_gfcc", const GFCC.prCanon2f_gfcc)
|
||||
,(strCI "header", const (MC.prCanonMGr . unoptimizeCanon))
|
||||
,(strCI "cfgm", prCanonAsCFGM)
|
||||
,(strCI "graph", visualizeCanonGrammar)
|
||||
|
||||
Reference in New Issue
Block a user