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gf-core/src/runtime/haskell/PGF/VisualizeTree.hs

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Haskell

----------------------------------------------------------------------
-- |
-- Module : VisualizeTree
-- Maintainer : KA
-- Stability : (stable)
-- Portability : (portable)
--
-- Print a graph of an abstract syntax tree in Graphviz DOT format
-- Based on BB's VisualizeGrammar
-----------------------------------------------------------------------------
module PGF.VisualizeTree
( GraphvizOptions(..)
, graphvizDefaults
, graphvizAbstractTree
, graphvizParseTree
, graphvizParseTreeDep
, graphvizDependencyTree
, Labels, getDepLabels
, graphvizBracketedString
, graphvizAlignment
, gizaAlignment
, conlls2latexDoc
) where
import PGF.CId (wildCId,showCId,ppCId,mkCId) --CId,pCId,
import PGF.Data
import PGF.Expr (Tree) -- showExpr
import PGF.Linearize
----import PGF.LatexVisualize (conll2latex) ---- should be separate module?
import PGF.Macros (lookValCat, BracketedString(..))
--lookMap, BracketedTokn(..), flattenBracketedString
import qualified Data.Map as Map
--import qualified Data.IntMap as IntMap
import Data.List (intersperse,nub,mapAccumL,find)
--import Data.Char (isDigit)
import Data.Maybe (fromMaybe)
import Text.PrettyPrint
--import Data.Array.IArray
--import Control.Monad
--import qualified Data.Set as Set
--import qualified Text.ParserCombinators.ReadP as RP
data GraphvizOptions = GraphvizOptions {noLeaves :: Bool,
noFun :: Bool,
noCat :: Bool,
noDep :: Bool,
nodeFont :: String,
leafFont :: String,
nodeColor :: String,
leafColor :: String,
nodeEdgeStyle :: String,
leafEdgeStyle :: String
}
graphvizDefaults = GraphvizOptions False False False True "" "" "" "" "" ""
-- | Renders abstract syntax tree in Graphviz format.
-- The pair of 'Bool' @(funs,cats)@ lets you control whether function names and
-- category names are included in the rendered tree.
graphvizAbstractTree :: PGF -> (Bool,Bool) -> Tree -> String
graphvizAbstractTree pgf (funs,cats) = render . tree2graph
where
tree2graph t =
text "graph {" $$
ppGraph [] [] 0 t $$
text "}"
getAbs xs (EAbs _ x e) = getAbs (x:xs) e
getAbs xs (ETyped e _) = getAbs xs e
getAbs xs e = (xs,e)
getApp (EApp x (EImplArg y)) es = getApp x es
getApp (EApp x y) es = getApp x (y:es)
getApp (ETyped e _) es = getApp e es
getApp e es = (e,es)
getLbl scope (EFun f) = let fun = if funs then ppCId f else empty
cat = if cats then ppCId (lookValCat (abstract pgf) f) else empty
sep = if funs && cats then colon else empty
in fun <+> sep <+> cat
getLbl scope (ELit l) = text (escapeStr (render (ppLit l)))
getLbl scope (EMeta i) = ppMeta i
getLbl scope (EVar i) = ppCId (scope !! i)
getLbl scope (ETyped e _) = getLbl scope e
getLbl scope (EImplArg e) = getLbl scope e
ppGraph scope ps i e0 =
let (xs, e1) = getAbs [] e0
(e2,args) = getApp e1 []
binds = if null xs
then empty
else text "\\\\" <> hcat (punctuate comma (map ppCId xs)) <+> text "->"
(lbl,eargs) = case e2 of
EAbs _ _ _ -> (char '@', e2:args) -- eta-redexes are rendered with artificial "@" node
_ -> (getLbl scope' e2, args)
scope' = xs ++ scope
in ppNode (i:ps) <> text "[label =" <+> doubleQuotes (binds <+> lbl) <> text ", style = \"solid\", shape = \"plaintext\"] ;" $$
(if null ps
then empty
else ppNode ps <+> text "--" <+> ppNode (i:ps) <+> text "[style = \"solid\"];") $$
vcat (zipWith (ppGraph scope' (i:ps)) [0..] eargs)
ppNode ps = char 'n' <> hcat (punctuate (char '_') (map int ps))
escapeStr [] = []
escapeStr ('\\':cs) = '\\':'\\':escapeStr cs
escapeStr ('"' :cs) = '\\':'"' :escapeStr cs
escapeStr (c :cs) = c :escapeStr cs
type Labels = Map.Map CId [String]
-- | Visualize word dependency tree.
graphvizDependencyTree
:: String -- ^ Output format: @"latex"@, @"conll"@, @"malt_tab"@, @"malt_input"@ or @"dot"@
-> Bool -- ^ Include extra information (debug)
-> Maybe Labels -- ^ Label information obtained with 'getDepLabels'
-> unused -- ^ not used (was: @Maybe String@)
-> PGF
-> CId -- ^ The language of analysis
-> Tree
-> String -- ^ Rendered output in the specified format
graphvizDependencyTree format debug mlab ms pgf lang t =
case format of
"latex" -> render . ppLaTeX $ conll2latex' conll
"svg" -> render . ppSVG . toSVG $ conll2latex' conll
"conll" -> render $ vcat (map (hcat . intersperse (char '\t') ) wnodes)
"malt_tab" -> render $ vcat (map (hcat . intersperse (char '\t') . (\ws -> [ws !! 0,ws !! 1,ws !! 3,ws !! 6,ws !! 7])) wnodes)
"malt_input" -> render $ vcat (map (hcat . intersperse (char '\t') . take 6) wnodes)
_ -> render $ text "digraph {" $$
space $$
nest 2 (text "rankdir=LR ;" $$
text "node [shape = plaintext] ;" $$
vcat nodes $$
vcat links) $$
text "}"
where
conll = (map.map) render wnodes
nodes = map mkNode leaves
links = map mkLink [(fid, fromMaybe (dep_lbl,nil) (lookup fid deps)) | ((cat,fid,fun),_,w) <- tail leaves]
-- CoNLL format: ID FORM LEMMA PLEMMA POS PPOS FEAT PFEAT HEAD PHEAD DEPREL PDEPREL
-- P variants are automatically predicted rather than gold standard
wnodes = [[int i, maltws ws, ppCId fun, ppCId (posCat cat), ppCId cat, unspec, int parent, text lab, unspec, unspec] |
((cat,fid,fun),i,ws) <- tail leaves,
let (lab,parent) = fromMaybe (dep_lbl,0)
(do (lbl,fid) <- lookup fid deps
(_,i,_) <- find (\((_,fid1,_),i,_) -> fid == fid1) leaves
return (lbl,i))
]
maltws = text . concat . intersperse "+" . words -- no spaces in column 2
nil = -1
bss = bracketedLinearize pgf lang t
root = (wildCId,nil,wildCId)
leaves = (root,0,root_lbl) : (groupAndIndexIt 1 . concatMap (getLeaves root)) bss
deps = let (_,(h,deps)) = getDeps 0 [] t []
in (h,(dep_lbl,nil)):deps
groupAndIndexIt id [] = []
groupAndIndexIt id ((p,w):pws) = let (ws,pws1) = collect pws
in (p,id,unwords (w:ws)) : groupAndIndexIt (id+1) pws1
where
collect pws@((p1,w):pws1)
| p == p1 = let (ws,pws2) = collect pws1
in (w:ws,pws2)
collect pws = ([],pws)
getLeaves parent bs =
case bs of
Leaf w -> [(parent,w)]
Bracket cat fid _ fun _ bss -> concatMap (getLeaves (cat,fid,fun)) bss
mkNode ((_,p,_),i,w) =
tag p <+> brackets (text "label = " <> doubleQuotes (int i <> char '.' <+> text w)) <+> semi
mkLink (x,(lbl,y)) = tag y <+> text "->" <+> tag x <+> text "[label = " <> doubleQuotes (text lbl) <> text "] ;"
labels = maybe Map.empty id mlab
posCat cat = case Map.lookup cat labels of
Just [p] -> mkCId p
_ -> cat
getDeps n_fid xs (EAbs _ x e) es = getDeps n_fid (x:xs) e es
getDeps n_fid xs (EApp e1 e2) es = getDeps n_fid xs e1 (e2:es)
getDeps n_fid xs (EImplArg e) es = getDeps n_fid xs e es
getDeps n_fid xs (ETyped e _) es = getDeps n_fid xs e es
getDeps n_fid xs (EFun f) es = let (n_fid_1,ds) = descend n_fid xs es
(mb_h, deps) = selectHead f ds
in case mb_h of
Just (fid,deps0) -> (n_fid_1+1,(fid,deps0++
[(n_fid_1,(dep_lbl,fid))]++
concat [(m,(lbl,fid)):ds | (lbl,(m,ds)) <- deps]))
Nothing -> (n_fid_1+1,(n_fid_1,concat [(m,(lbl,n_fid_1)):ds | (lbl,(m,ds)) <- deps]))
getDeps n_fid xs (EMeta i) es = (n_fid+2,(n_fid,[]))
getDeps n_fid xs (EVar i) _ = (n_fid+2,(n_fid,[]))
getDeps n_fid xs (ELit l) [] = (n_fid+1,(n_fid,[]))
descend n_fid xs es = mapAccumL (\n_fid e -> getDeps n_fid xs e []) n_fid es
selectHead f ds =
case Map.lookup f labels of
Just lbls -> extractHead (zip lbls ds)
Nothing -> extractLast ds
where
extractHead [] = (Nothing, [])
extractHead (ld@(l,d):lds)
| l == head_lbl = (Just d,lds)
| otherwise = let (mb_h,deps) = extractHead lds
in (mb_h,ld:deps)
extractLast [] = (Nothing, [])
extractLast (d:ds)
| null ds = (Just d,[])
| otherwise = let (mb_h,deps) = extractLast ds
in (mb_h,(dep_lbl,d):deps)
dep_lbl = "dep"
head_lbl = "head"
root_lbl = "ROOT"
unspec = text "_"
-- | Prepare lines obtained from a configuration file for labels for
-- use with 'graphvizDependencyTree'. Format per line /fun/ /label/@*@.
getDepLabels :: String -> Labels
getDepLabels s = Map.fromList [(mkCId f,ls) | f:ls <- map words (lines s)]
-- the old function, without dependencies
graphvizParseTree :: PGF -> Language -> GraphvizOptions -> Tree -> String
graphvizParseTree = graphvizParseTreeDep Nothing
graphvizParseTreeDep :: Maybe Labels -> PGF -> Language -> GraphvizOptions -> Tree -> String
graphvizParseTreeDep mbl pgf lang opts tree = graphvizBracketedString opts mbl tree $ bracketedLinearize pgf lang tree
graphvizBracketedString :: GraphvizOptions -> Maybe Labels -> Tree -> [BracketedString] -> String
graphvizBracketedString opts mbl tree bss = render graphviz_code
where
graphviz_code
= text "graph {" $$
text node_style $$
vcat internal_nodes $$
(if noLeaves opts then empty
else text leaf_style $$
leaf_nodes
) $$ text "}"
leaf_style = mkOption "edge" "style" (leafEdgeStyle opts) ++
mkOption "edge" "color" (leafColor opts) ++
mkOption "node" "fontcolor" (leafColor opts) ++
mkOption "node" "fontname" (leafFont opts) ++
mkOption "node" "shape" "plaintext"
node_style = mkOption "edge" "style" (nodeEdgeStyle opts) ++
mkOption "edge" "color" (nodeColor opts) ++
mkOption "node" "fontcolor" (nodeColor opts) ++
mkOption "node" "fontname" (nodeFont opts) ++
mkOption "node" "shape" nodeshape
where nodeshape | noFun opts && noCat opts = "point"
| otherwise = "plaintext"
mkOption object optname optvalue
| null optvalue = ""
| otherwise = object ++ "[" ++ optname ++ "=\"" ++ optvalue ++ "\"]; "
mkNode fun cat
| noFun opts = showCId cat
| noCat opts = showCId fun
| otherwise = showCId fun ++ " : " ++ showCId cat
nil = -1
internal_nodes = [mkLevel internals |
internals <- getInternals (map ((,) nil) bss),
not (null internals)]
leaf_nodes = mkLevel [(parent, id, mkLeafNode cat word) |
(id, (parent, (cat,word))) <- zip [100000..] (concatMap (getLeaves (mkCId "?") nil) bss)]
getInternals [] = []
getInternals nodes
= nub [(parent, fid, mkNode fun cat) |
(parent, Bracket cat fid _ fun _ _) <- nodes]
: getInternals [(fid, child) |
(_, Bracket _ fid _ _ _ children) <- nodes,
child <- children]
getLeaves cat parent (Leaf word) = [(parent, (cat, word))] -- the lowest cat before the word
getLeaves _ parent (Bracket cat fid i _ _ children)
= concatMap (getLeaves cat fid) children
mkLevel nodes
= text "subgraph {rank=same;" $$
nest 2 (-- the following gives the name of the node and its label:
vcat [tag id <> text (mkOption "" "label" lbl) | (_, id, lbl) <- nodes] $$
-- the following is for fixing the order between the children:
(if length nodes > 1 then
text (mkOption "edge" "style" "invis") $$
hsep (intersperse (text " -- ") [tag id | (_, id, _) <- nodes]) <+> semi
else empty)
) $$
text "}" $$
-- the following is for the edges between parent and children:
vcat [tag pid <> text " -- " <> tag id <> text (depLabel node) | node@(pid, id, _) <- nodes, pid /= nil] $$
space
depLabel node@(parent,id,lbl)
| noDep opts = ";"
| otherwise = case getArg id of
Just (fun,arg) -> mkOption "" "label" (lookLabel fun arg)
_ -> ";"
getArg i = getArgumentPlace i (expr2numtree tree) Nothing
labels = maybe Map.empty id mbl
lookLabel fun arg = case Map.lookup fun labels of
Just xx | length xx > arg -> case xx !! arg of
"head" -> ""
l -> l
_ -> argLabel fun arg
argLabel fun arg = if arg==0 then "" else "dep#" ++ show arg --showCId fun ++ "#" ++ show arg
-- assuming the arg is head, if no configuration is given; always true for 1-arg funs
mkLeafNode cat word
| noDep opts = word --- || not (noCat opts) -- show POS only if intermediate nodes hidden
| otherwise = posCat cat ++ "\n" ++ word -- show POS in dependency tree
posCat cat = case Map.lookup cat labels of
Just [p] -> p
_ -> showCId cat
---- to restore the argument place from bracketed linearization
data NumTree = NumTree Int CId [NumTree]
getArgumentPlace :: Int -> NumTree -> Maybe (CId,Int) -> Maybe (CId,Int)
getArgumentPlace i tree@(NumTree int fun ts) mfi
| i == int = mfi
| otherwise = case [fj | (t,x) <- zip ts [0..], Just fj <- [getArgumentPlace i t (Just (fun,x))]] of
fj:_ -> Just fj
_ -> Nothing
expr2numtree :: Expr -> NumTree
expr2numtree = fst . renumber 0 . flatten where
flatten e = case e of
EApp f a -> case flatten f of
NumTree _ g ts -> NumTree 0 g (ts ++ [flatten a])
EFun f -> NumTree 0 f []
renumber i t@(NumTree _ f ts) = case renumbers i ts of
(ts',j) -> (NumTree j f ts', j+1)
renumbers i ts = case ts of
t:tt -> case renumber i t of
(t',j) -> case renumbers j tt of (tt',k) -> (t':tt',k)
_ -> ([],i)
----- end this terrible stuff AR 4/11/2015
type Rel = (Int,[Int])
-- possibly needs changes after clearing about many-to-many on this level
type IndexedSeq = (Int,[String])
type LangSeq = [IndexedSeq]
data PreAlign = PreAlign [LangSeq] [[Rel]]
deriving Show
-- alignment structure for a phrase in 2 languages, along with the
-- many-to-many relations
genPreAlignment :: PGF -> [Language] -> Expr -> PreAlign
genPreAlignment pgf langs = lin2align . linsBracketed
where
linsBracketed t = [bracketedLinearize pgf lang t | lang <- langs]
lin2align :: [[BracketedString]] -> PreAlign
lin2align bsss = PreAlign langSeqs langRels
where
(langSeqs,langRels) = mkLayers leaves
nil = -1
leaves = map (groupAndIndexIt 0 . concatMap (getLeaves nil)) bsss
groupAndIndexIt id [] = []
groupAndIndexIt id ((p,w):pws) = let (ws,pws1) = collect pws
in (p,id,unwords (w:ws)) : groupAndIndexIt (id+1) pws1
where
collect pws@((p1,w):pws1)
| p == p1 = let (ws,pws2) = collect pws1
in (w:ws,pws2)
collect pws = ([],pws)
getLeaves parent bs =
case bs of
Leaf w -> [(parent,w)]
Bracket _ fid _ _ _ bss -> concatMap (getLeaves fid) bss
mkLayers (cs:css:rest) = let (lrest, rrest) = mkLayers (css:rest)
in ((fields cs) : lrest, (map (mkLinks css) cs) : rrest)
mkLayers [cs] = ([fields cs], [])
mkLayers _ = ([],[])
mkLinks cs (p0,id0,_) = (id0,indices)
where
indices = [id1 | (p1,id1,_) <- cs, p1 == p0]
fields cs = [(id, [w]) | (_,id,w) <- cs]
-- we assume we have 2 languages - source and target
gizaAlignment :: PGF -> (Language,Language) -> Expr -> (String,String,String)
gizaAlignment pgf (l1,l2) e = let PreAlign [rl1,rl2] rels = genPreAlignment pgf [l1,l2] e
in
(unwords (map showIndSeq rl1), unwords (concat $ map snd rl2),
unwords $ words $ showRels rl2 (concat rels))
showIndSeq (_,l) = let ww = map words l
w_ = map (intersperse "_") ww
in
concat $ concat w_
showRels inds2 [] = []
showRels inds2 ((ind,is):rest) =
let lOffs = computeOffset inds2 0
ltemp = [(i,getOffsetIndex i lOffs) | i <- is]
lcurr = concat $ map (\(offset,ncomp) -> [show ind ++ "-" ++ show (-1 + offset + ii) ++ " "| ii <- [1..ncomp]]) (map snd ltemp)
lrest = showRels inds2 rest
in
(unwords lcurr) ++ lrest
getOffsetIndex i lst = let ll = filter (\(x,_) -> x == i) lst
in
snd $ head ll
computeOffset [] transp = []
computeOffset ((i,l):rest) transp = let nw = (length $ words $ concat l)
in (i,(transp,nw)) : (computeOffset rest (transp + nw))
-- alignment in the Graphviz format from the intermediate structure
-- same effect as the old direct function
graphvizAlignment :: PGF -> [Language] -> Expr -> String
graphvizAlignment pgf langs exp =
render (text "digraph {" $$
space $$
nest 2 (text "rankdir=LR ;" $$
text "node [shape = record] ;" $$
space $$
renderList 0 lrels rrels) $$
text "}")
where
(PreAlign lrels rrels) = genPreAlignment pgf langs exp
renderList ii (l:ls) (r:rs) = struct ii <> text "[label = \"" <> fields l <> text "\"] ;" $$
(case ls of
[] -> empty
_ -> vcat [struct ii <> colon <> tag id0
<> colon <> char 'e' <+> text "->" <+> struct (ii+1)
<> colon <> tag id1 <> colon <> char 'w' <+> semi
| (id0,ids) <- r, id1 <- ids] $$ renderList (ii + 1) ls rs)
renderList ii [] _ = empty
renderList ii [l] [] = struct ii <> text "[label = \"" <> fields l <> text "\"] ;"
fields cs = hsep (intersperse (char '|') [tbrackets (tag id) <> text (' ':w) | (id,ws) <- cs, w <- ws])
-- auxiliaries for graphviz syntax
struct l = text ("struct" ++ show l)
tbrackets d = char '<' <> d <> char '>'
tag i
| i < 0 = char 'r' <> int (negate i)
| otherwise = char 'n' <> int i
---------------------- should be a separate module?
-- visualization with latex output. AR Nov 2015
conlls2latexDoc :: [String] -> String
conlls2latexDoc =
render .
latexDoc .
vcat .
intersperse (text "" $+$ app "vspace" (text "4mm")) .
map conll2latex .
filter (not . null)
conll2latex :: String -> Doc
conll2latex = ppLaTeX . conll2latex' . parseCoNLL
conll2latex' :: CoNLL -> [LaTeX]
conll2latex' = dep2latex . conll2dep'
data Dep = Dep {
wordLength :: Int -> Double -- length of word at position int -- was: fixed width, millimetres (>= 20.0)
, tokens :: [(String,String)] -- word, pos (0..)
, deps :: [((Int,Int),String)] -- from, to, label
, root :: Int -- root word position
}
-- some general measures
defaultWordLength = 20.0 -- the default fixed width word length, making word 100 units
defaultUnit = 0.2 -- unit in latex pictures, 0.2 millimetres
spaceLength = 10.0
charWidth = 1.8
wsize rwld w = 100 * rwld w + spaceLength -- word length, units
wpos rwld i = sum [wsize rwld j | j <- [0..i-1]] -- start position of the i'th word
wdist rwld x y = sum [wsize rwld i | i <- [min x y .. max x y - 1]] -- distance between words x and y
labelheight h = h + arcbase + 3 -- label just above arc; 25 would put it just below
labelstart c = c - 15.0 -- label starts 15u left of arc centre
arcbase = 30.0 -- arcs start and end 40u above the bottom
arcfactor r = r * 600 -- reduction of arc size from word distance
xyratio = 3 -- width/height ratio of arcs
putArc :: (Int -> Double) -> Int -> Int -> Int -> String -> [DrawingCommand]
putArc frwld height x y label = [oval,arrowhead,labelling] where
oval = Put (ctr,arcbase) (OvalTop (wdth,hght))
arrowhead = Put (endp,arcbase + 5) (ArrowDown 5) -- downgoing arrow 5u above the arc base
labelling = Put (labelstart ctr,labelheight (hght/2)) (TinyText label)
dxy = wdist frwld x y -- distance between words, >>= 20.0
ndxy = 100 * rwld * fromIntegral height -- distance that is indep of word length
hdxy = dxy / 2 -- half the distance
wdth = dxy - (arcfactor rwld)/dxy -- longer arcs are wider in proportion
hght = ndxy / (xyratio * rwld) -- arc height is independent of word length
begp = min x y -- begin position of oval
ctr = wpos frwld begp + hdxy + (if x < y then 20 else 10) -- LR arcs are farther right from center of oval
endp = (if x < y then (+) else (-)) ctr (wdth/2) -- the point of the arrow
rwld = 0.5 ----
dep2latex :: Dep -> [LaTeX]
dep2latex d =
[Comment (unwords (map fst (tokens d))),
Picture defaultUnit (width,height) (
[Put (wpos rwld i,0) (Text w) | (i,w) <- zip [0..] (map fst (tokens d))] -- words
++ [Put (wpos rwld i,15) (TinyText w) | (i,w) <- zip [0..] (map snd (tokens d))] -- pos tags 15u above bottom
++ concat [putArc rwld (aheight x y) x y label | ((x,y),label) <- deps d] -- arcs and labels
++ [Put (wpos rwld (root d) + 15,height) (ArrowDown (height-arcbase))]
++ [Put (wpos rwld (root d) + 20,height - 10) (TinyText "ROOT")]
)]
where
wld i = wordLength d i -- >= 20.0
rwld i = (wld i) / defaultWordLength -- >= 1.0
aheight x y = depth (min x y) (max x y) + 1 ---- abs (x-y)
arcs = [(min u v, max u v) | ((u,v),_) <- deps d]
depth x y = case [(u,v) | (u,v) <- arcs, (x < u && v <= y) || (x == u && v < y)] of ---- only projective arcs counted
[] -> 0
uvs -> 1 + maximum (0:[depth u v | (u,v) <- uvs])
width = {-round-} (sum [wsize rwld w | (w,_) <- zip [0..] (tokens d)]) + {-round-} spaceLength * fromIntegral ((length (tokens d)) - 1)
height = 50 + 20 * {-round-} (maximum (0:[aheight x y | ((x,y),_) <- deps d]))
type CoNLL = [[String]]
parseCoNLL :: String -> CoNLL
parseCoNLL = map words . lines
--conll2dep :: String -> Dep
--conll2dep = conll2dep' . parseCoNLL
conll2dep' :: CoNLL -> Dep
conll2dep' ls = Dep {
wordLength = wld
, tokens = toks
, deps = dps
, root = head $ [read x-1 | x:_:_:_:_:_:"0":_ <- ls] ++ [1]
}
where
wld i = maximum (0:[charWidth * fromIntegral (length w) | w <- let (tok,pos) = toks !! i in [tok,pos]])
toks = [(w,c) | _:w:_:c:_ <- ls]
dps = [((read y-1, read x-1),lab) | x:_:_:_:_:_:y:lab:_ <- ls, y /="0"]
--maxdist = maximum [abs (x-y) | ((x,y),_) <- dps]
-- * LaTeX Pictures (see https://en.wikibooks.org/wiki/LaTeX/Picture)
-- We render both LaTeX and SVG from this intermediate representation of
-- LaTeX pictures.
data LaTeX = Comment String | Picture UnitLengthMM Size [DrawingCommand]
data DrawingCommand = Put Position Object
data Object = Text String | TinyText String | OvalTop Size | ArrowDown Length
type UnitLengthMM = Double
type Size = (Double,Double)
type Position = (Double,Double)
type Length = Double
-- * latex formatting
ppLaTeX = vcat . map ppLaTeX1
where
ppLaTeX1 el =
case el of
Comment s -> comment s
Picture unit size cmds ->
app "setlength{\\unitlength}" (text (show unit ++ "mm"))
$$ hang (app "begin" (text "picture")<>text (show size)) 2
(vcat (map ppDrawingCommand cmds))
$$ app "end" (text "picture")
$$ text ""
ppDrawingCommand (Put pos obj) = put pos (ppObject obj)
ppObject obj =
case obj of
Text s -> text s
TinyText s -> small (text s)
OvalTop size -> text "\\oval" <> text (show size) <> text "[t]"
ArrowDown len -> app "vector(0,-1)" (text (show len))
put p@(_,_) = app ("put" ++ show p)
small w = text "{\\tiny" <+> w <> text "}"
comment s = text "%%" <+> text s -- line break show follow
app macro arg = text "\\" <> text macro <> text "{" <> arg <> text "}"
latexDoc :: Doc -> Doc
latexDoc body =
vcat [text "\\documentclass{article}",
text "\\usepackage[utf8]{inputenc}",
text "\\begin{document}",
body,
text "\\end{document}"]
-- * SVG (see https://www.w3.org/Graphics/SVG/IG/resources/svgprimer.html)
-- | Render LaTeX pictures as SVG
toSVG = concatMap toSVG1
where
toSVG1 el =
case el of
Comment s -> []
Picture unit size@(w,h) cmds ->
[Elem "svg" ["width".=x1,"height".=y0+5,
("viewBox",unwords (map show [0,0,x1,y0+5])),
("version","1.1"),
("xmlns","http://www.w3.org/2000/svg")]
(white_bg:concatMap draw cmds)]
where
white_bg =
Elem "rect" ["x".=0,"y".=0,"width".=x1,"height".=y0+5,
("fill","white")] []
draw (Put pos obj) = objectSVG pos obj
objectSVG pos obj =
case obj of
Text s -> [text 16 pos s]
TinyText s -> [text 10 pos s]
OvalTop size -> [ovalTop pos size]
ArrowDown len -> arrowDown pos len
text h (x,y) s =
Elem "text" ["x".=xc x,"y".=yc y-2,"font-size".=h]
[CharData s]
ovalTop (x,y) (w,h) =
Elem "path" [("d",path),("stroke","black"),("fill","none")] []
where
x1 = x-w/2
x2 = min x (x1+r)
x3 = max x (x4-r)
x4 = x+w/2
y1 = y
y2 = y+r
r = h/2
sx = show . xc
sy = show . yc
path = unwords (["M",sx x1,sy y1,"Q",sx x1,sy y2,sx x2,sy y2,
"L",sx x3,sy y2,"Q",sx x4,sy y2,sx x4,sy y1])
arrowDown (x,y) len =
[Elem "line" ["x1".=xc x,"y1".=yc y,"x2".=xc x,"y2".=y2,
("stroke","black")] [],
Elem "path" [("d",unwords arrowhead)] []]
where
x2 = xc x
y2 = yc (y-len)
arrowhead = "M":map show [x2,y2,x2-3,y2-6,x2+3,y2-6]
xc x = num x+5
yc y = y0-num y
x1 = num w+10
y0 = num h+20
num x = round (scale*x)
scale = unit*5
infix 0 .=
n.=v = (n,show v)
-- * SVG is XML
data SVG = CharData String | Elem TagName Attrs [SVG]
type TagName = String
type Attrs = [(String,String)]
ppSVG svg =
vcat [text "<?xml version=\"1.0\" standalone=\"no\"?>",
text "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"",
text "\"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">",
text "",
vcat (map ppSVG1 svg)] -- It should be a single <svg> element...
where
ppSVG1 svg1 =
case svg1 of
CharData s -> text (encode s)
Elem tag attrs [] ->
text "<"<>text tag<>cat (map attr attrs) <> text "/>"
Elem tag attrs svg ->
cat [text "<"<>text tag<>cat (map attr attrs) <> text ">",
nest 2 (cat (map ppSVG1 svg)),
text "</"<>text tag<>text ">"]
attr (n,v) = text " "<>text n<>text "=\""<>text (encode v)<>text "\""
encode s = foldr encodeEntity "" s
encodeEntity = encodeEntity' (const False)
encodeEntity' esc c r =
case c of
'&' -> "&amp;"++r
'<' -> "&lt;"++r
'>' -> "&gt;"++r
_ -> c:r