X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=examples%2FGArrowTikZ.hs;h=d3ae2e0d140ea9769faecd6fbf86a3a20e8c4ff5;hp=b3a468f07b3fc86b4f41f8123d4bac141a6cf26e;hb=e3c18fcb881ce6af59003fa5888b1e0fb16b66a5;hpb=bb5ad91dc2d9cf1e35895e293b4e3e1478b4af00 diff --git a/examples/GArrowTikZ.hs b/examples/GArrowTikZ.hs index b3a468f..d3ae2e0 100644 --- a/examples/GArrowTikZ.hs +++ b/examples/GArrowTikZ.hs @@ -1,284 +1,534 @@ -{-# OPTIONS_GHC -XModalTypes -XMultiParamTypeClasses -XNoMonoPatBinds -XKindSignatures -XGADTs -XFlexibleContexts -XFlexibleInstances -XTypeOperators -XUndecidableInstances -XTypeFamilies #-} -module GArrowTikZ (tikz, tikz', GArrowTikZ(..)) +{-# LANGUAGE RankNTypes, MultiParamTypeClasses, GADTs, FlexibleContexts, FlexibleInstances, TypeOperators #-} +----------------------------------------------------------------------------- +-- | +-- Module : GArrowTikZ +-- Copyright : none +-- License : public domain +-- +-- Maintainer : Adam Megacz +-- Stability : experimental +-- +-- | Renders a @GArrowSkeleton@ using TikZ; the result is LaTeX code. +-- You must have lp_solve installed in order for this to work. +-- + +module GArrowTikZ (tikz) where +import System.Process import Prelude hiding ( id, (.), lookup ) import Control.Category +import Control.Monad.State import GHC.HetMet.GArrow import Data.List hiding (lookup, insert) import Data.Map hiding (map, (!)) +import Data.Maybe (catMaybes) import Unify +import GArrowSkeleton +import GArrowPortShape import GHC.HetMet.Private -{- -TO DO: - - have "resolve" turn a (Diagram UnifVal) into (Diagram Int) - - custom rendering - - bias right now is for all edges to be uppermost; try for bias - towards smallest nodes? - - curvy boxes (like XOR gates) --} - - --- a unification value is basically a LISP-ish expression -data UVal = - UVVar UVar - | UVVal [UVal] - -instance Unifiable UVal where - unify' (UVVal vl1) (UVVal vl2) - | length vl1 /= length vl2 = error "length mismatch during unification" - | otherwise = foldr mergeU emptyUnifier (map (\(x,y) -> unify x y) $ zip vl1 vl2) - unify' _ _ = error "impossible" - inject = UVVar - project (UVVar v) = Just v - project _ = Nothing - occurrences (UVVar v) = [v] - occurrences (UVVal vl) = concatMap occurrences vl - --- | Resolves a unification variable; the answer to this query will change if subsequent unifications are performed -getU' :: Unifier UVal -> UVal -> UVal -getU' u (UVVal vl) = UVVal $ map (getU' u) vl -getU' u x@(UVVar v) = case Unify.getU u v of - Nothing -> x - Just x' -> getU' u x' - - - +------------------------------------------------------------------------------ +-- Tracks -- --- | Render a fully-polymorphic GArrow term as a boxes-and-wires diagram using TikZ +-- Figuring out the x-coordinates of the boxes is easy, but we'll need +-- to use lp_solve to get a nice layout for the y-coordinates of the +-- wires. A @Track@ is basically just a y-axis position for one of +-- the horizontal wires in the boxes-and-wires diagram; we will assign +-- a unique Int to each visual element that has a y-coordinate, then +-- generate a big pile of constraints on these y-coordinates and have +-- lp_solve find a solution. -- +type TrackIdentifier = Int -type Constraints = [(UVal, Int, UVal)] +data Tracks = T TrackIdentifier + | TU TrackIdentifier -- a track known to be of unit type + | TT Tracks Tracks --- the unification monad -data UyM t a = UyM (([UVar],Unifier UVal,Constraints) -> ([UVar],Unifier UVal,Constraints,a)) -instance Monad (UyM t) - where - return x = UyM $ \(i,u,k) -> (i,u,k,x) - (UyM f) >>= g = UyM $ \(i,u,k) -> let (i',u',k',x) = f (i,u,k) in let UyM g' = g x in g' (i',u',k') - - -getU = UyM $ \(i,u,k) -> (i,u,k,u) -getM v = UyM $ \(i,u,k) -> (i,u,k,getU' u v) -occursU v x = UyM $ \(i,u,k) -> (i,u,k,occurs u v x) -unifyM :: Eq t => UVal -> UVal -> UyM t () -unifyM v1 v2 = UyM $ \(i,u,k) -> (i,mergeU u (unify v1 v2),k,()) -freshU :: UyM t UVar -freshU = UyM $ \(i:is,u,k) -> (is,u,k,i) -constrain :: UVal -> Int -> UVal -> UyM t () -constrain v1 d v2 = UyM $ \(i,u,k) -> (i,u,((v1,d,v2):k),()) -getK :: UyM t [(UVal, Int, UVal)] -getK = UyM $ \(i,u,k) -> (i,u,k,k) -runU :: UyM t a -> ([UVar],Unifier UVal,Constraints,a) -runU (UyM f) = (f (uvarSupply,emptyUnifier,[])) - -data GArrowTikZ :: * -> * -> * - where - TikZ_const :: Int -> GArrowTikZ () Int - TikZ_id :: GArrowTikZ x x - TikZ_comp :: GArrowTikZ y z -> GArrowTikZ x y -> GArrowTikZ x z - TikZ_first :: GArrowTikZ x y -> GArrowTikZ (x**z) (y**z) - TikZ_second :: GArrowTikZ x y -> GArrowTikZ (z**x) (z**y) - TikZ_cancell :: GArrowTikZ (()**x) x - TikZ_cancelr :: GArrowTikZ (x**()) x - TikZ_uncancell :: GArrowTikZ x (()**x) - TikZ_uncancelr :: GArrowTikZ x (x**()) - TikZ_assoc :: GArrowTikZ ((x**y)**z) (x**(y**z)) - TikZ_unassoc :: GArrowTikZ (x**(y**z)) ((x**y)**z) - TikZ_drop :: GArrowTikZ x () - TikZ_copy :: GArrowTikZ x (x**x) - TikZ_swap :: GArrowTikZ (x**y) (y**x) - TikZ_merge :: GArrowTikZ (x**y) z - TikZ_loopl :: GArrowTikZ (x**z) (y**z) -> GArrowTikZ x y - TikZ_loopr :: GArrowTikZ (z**x) (z**y) -> GArrowTikZ x y +instance Show Tracks where + show (T ti ) = "(T "++show ti++")" + show (TU ti ) = "(TU "++show ti++")" + show (TT t1 t2) = "(TT "++show t1++" "++show t2++")" -- --- Technically this instance violates the laws (and RULEs) for --- Control.Category; the compiler might choose to optimize (f >>> id) --- into f, and this optimization would produce a change in behavior --- below. In practice this means that the user must be prepared for --- the rendered TikZ diagram to be merely *equivalent to* his/her --- term, rather than structurally exactly equal to it. --- -instance Category GArrowTikZ where - id = TikZ_id - (.) = TikZ_comp - -instance GArrow GArrowTikZ (**) () where - ga_first = TikZ_first - ga_second = TikZ_second - ga_cancell = TikZ_cancell - ga_cancelr = TikZ_cancelr - ga_uncancell = TikZ_uncancell - ga_uncancelr = TikZ_uncancelr - ga_assoc = TikZ_assoc - ga_unassoc = TikZ_unassoc - -instance GArrowDrop GArrowTikZ (**) () where - ga_drop = TikZ_drop - -instance GArrowCopy GArrowTikZ (**) () where - ga_copy = TikZ_copy - -instance GArrowSwap GArrowTikZ (**) () where - ga_swap = TikZ_swap - -instance GArrowLoop GArrowTikZ (**) () where - ga_loopl = TikZ_loopl - ga_loopr = TikZ_loopr - -type instance GArrowTensor GArrowTikZ = (,) -type instance GArrowUnit GArrowTikZ = () -type instance GArrowExponent GArrowTikZ = (->) - -instance GArrowSTKC GArrowTikZ - - -name :: GArrowTikZ a b -> String -name TikZ_id = "id" -name (TikZ_const i) = "const " ++ show i -name (TikZ_comp _ _) = "comp" -name (TikZ_first _ ) = "first" -name (TikZ_second _ ) = "second" -name TikZ_cancell = "cancell" -name TikZ_cancelr = "cancelr" -name TikZ_uncancell = "uncancell" -name TikZ_uncancelr = "uncancelr" -name TikZ_drop = "drop" -name TikZ_copy = "copy" -name TikZ_swap = "swap" -name (TikZ_loopl _ ) = "loopl" -name (TikZ_loopr _ ) = "loopr" -name TikZ_assoc = "assoc" -name TikZ_unassoc = "unassoc" - -fresh1 :: UyM () Ports -fresh1 = do { x <- freshU - ; return $ UVVar x - } +-- | TrackPositions maps TrackIdentifiers to actual y-axis positions; +-- this is what lp_solve gives us +-- +type TrackPositions = TrackIdentifier -> Float -fresh2 :: UyM () (Ports,Ports) -fresh2 = do { x <- freshU - ; y <- freshU - ; constrain (UVVar x) 1 (UVVar y) - ; return $ (UVVar x,UVVar y) - } +(!) :: TrackPositions -> TrackIdentifier -> Float +tp ! ti = tp ti -fresh3 :: UyM () (Ports,Ports,Ports) -fresh3 = do { x <- freshU - ; y <- freshU - ; z <- freshU - ; constrain (UVVar x) 1 (UVVar y) - ; constrain (UVVar y) 1 (UVVar z) - ; return $ (UVVar x,UVVar y,UVVar z) - } - -fresh4 :: UyM () (Ports,Ports,Ports,Ports) -fresh4 = do { x1 <- freshU - ; x2 <- freshU - ; x3 <- freshU - ; x4 <- freshU - ; constrain (UVVar x1) 1 (UVVar x2) - ; constrain (UVVar x2) 1 (UVVar x3) - ; constrain (UVVar x3) 1 (UVVar x4) - ; return $ (UVVar x1,UVVar x2,UVVar x3,UVVar x4) - } - -fresh5 :: UyM () (Ports,Ports,Ports,Ports,Ports) -fresh5 = do { x1 <- freshU - ; x2 <- freshU - ; x3 <- freshU - ; x4 <- freshU - ; x5 <- freshU - ; constrain (UVVar x1) 1 (UVVar x2) - ; constrain (UVVar x2) 1 (UVVar x3) - ; constrain (UVVar x3) 1 (UVVar x4) - ; constrain (UVVar x4) 1 (UVVar x5) - ; return $ (UVVar x1,UVVar x2,UVVar x3,UVVar x4,UVVar x5) - } +-- | get the uppermost TrackIdentifier in a Tracks +uppermost (T x) = x +uppermost (TU x) = x +uppermost (TT x y) = uppermost x +-- | get the lowermost TrackIdentifier in a Tracks +lowermost (T x) = x +lowermost (TU x) = x +lowermost (TT x y) = lowermost y ---example = ga_first ga_drop >>> ga_cancell >>> ga_first id >>> ga_swap >>> ga_first id >>> TikZ_merge ---example :: forall x y z. forall g. (GArrow g (,) (), GArrowCopy g (,) (), GArrowSwap g (,) ()) => g x ((x,x),x) ---example = ga_copy >>> ga_second ga_copy >>> ga_second (ga_first id) >>> ga_unassoc >>> ga_first ga_swap ---example = ga_copy >>> ga_second ga_copy >>> ga_second (ga_second id) >>> ga_unassoc >>> ga_first id >>> ga_first ga_swap ---example :: forall x. forall g. (GArrow g (,) (), GArrowCopy g (,) (), GArrowSwap g (,) ()) => g x x ---example = id >>> id -data Diagram p = DiagramComp (Diagram p) (Diagram p) - | DiagramPrim String p p p p (String -> Int -> Int -> Int -> p -> p -> Int -> String) - | DiagramBypassTop p (Diagram p) - | DiagramBypassBot (Diagram p) p - -- | DiagramLoopTop Diagram - -- | DiagramLoopBot Diagram +------------------------------------------------------------------------------ +-- Diagrams -type Ports = UVal +-- | A Diagram is the visual representation of a GArrowSkeleton +data Diagram + = DiagramComp Diagram Diagram + | DiagramBox Float TrackIdentifier Tracks BoxRenderer Tracks TrackIdentifier + | DiagramBypassTop Tracks Diagram + | DiagramBypassBot Diagram Tracks + | DiagramLoopTop Tracks Diagram + | DiagramLoopBot Diagram Tracks -getOut :: Diagram Ports -> Ports +-- | get the output tracks of a diagram +getOut :: Diagram -> Tracks getOut (DiagramComp f g) = getOut g -getOut (DiagramPrim s ptop pin pout pbot _) = pout -getOut (DiagramBypassTop p f) = UVVal [p, (getOut f)] -getOut (DiagramBypassBot f p) = UVVal [(getOut f), p] - -getIn :: Diagram Ports -> Ports +getOut (DiagramBox wid ptop pin q pout pbot) = pout +getOut (DiagramBypassTop p f) = TT p (getOut f) +getOut (DiagramBypassBot f p) = TT (getOut f) p +getOut (DiagramLoopTop t d) = case getOut d of { TT z y -> y ; _ -> error "DiagramLoopTop: mismatch" } +getOut (DiagramLoopBot d t) = case getOut d of { TT y z -> y ; _ -> error "DiagramLoopBot: mismatch" } + +-- | get the input tracks of a diagram +getIn :: Diagram -> Tracks getIn (DiagramComp f g) = getIn f -getIn (DiagramPrim s ptop pin pout pbot _) = pin -getIn (DiagramBypassTop p f) = UVVal [p, (getIn f)] -getIn (DiagramBypassBot f p) = UVVal [(getIn f), p] +getIn (DiagramBox wid ptop pin q pout pbot) = pin +getIn (DiagramBypassTop p f) = TT p (getIn f) +getIn (DiagramBypassBot f p) = TT (getIn f) p +getIn (DiagramLoopTop t d) = case getIn d of { TT z x -> x ; _ -> error "DiagramLoopTop: mismatch" } +getIn (DiagramLoopBot d t) = case getIn d of { TT x z -> x ; _ -> error "DiagramLoopBot: mismatch" } + +-- | A BoxRenderer is just a routine that, given the dimensions of a +-- boxes-and-wires box element, knows how to spit out a bunch of TikZ +-- code that draws it +type BoxRenderer = + TrackPositions -> -- resolves the TrackIdentifiers to actual y-coordinates + Float -> -- x1 + Float -> -- y1 + Float -> -- x2 + Float -> -- y2 + String -- TikZ code +noRender :: BoxRenderer +noRender _ _ _ _ _ = "" + + + + +------------------------------------------------------------------------------ +-- Constraints + +-- | a constraint (to be dealt with by lp_solve) relates two track identifiers +data Constraint = C TrackIdentifier Ordering TrackIdentifier {- plus -} Float + | EqualSpace TrackIdentifier TrackIdentifier TrackIdentifier TrackIdentifier + +-- instance Show Constraint where +-- show (C t1 LT t2 k s) = "x"++(show t1)++" = x"++(show t2)++" + "++(show k) ++ ";\n" +-- show (C t1 GT t2 k s) = "x"++(show t1)++" = x"++(show t2)++" + "++(show k) ++ ";\n" +-- show (C t1 EQ t2 k s) = "x"++(show t1)++" = x"++(show t2)++" + "++(show k) ++ ";\n" + +instance Show Constraint where + show (C t1 LT t2 k) = "x"++(show t1)++" <= x"++(show t2)++" + "++(show k) ++ ";\n" + show (C t1 GT t2 k) = "x"++(show t1)++" >= x"++(show t2)++" + "++(show k) ++ ";\n" + show (C t1 EQ t2 k) = "x"++(show t1)++" = x"++(show t2)++" + "++(show k) ++ ";\n" + show (EqualSpace t1a t1b t2a t2b) = "x"++(show t1a)++" = x"++(show t1b)++ + " + x"++(show t2a)++" - x"++(show t2b)++ ";\n" + +-- | a monad to accumulate constraints and track the largest TrackIdentifier allocated +type ConstraintM a = State (TrackIdentifier,[Constraint]) a + +-- | pull the constraints out of the monad +getConstraints :: ConstraintM [Constraint] +getConstraints = do { (_,c) <- get ; return c } + +-- | add a constraint +constrain :: TrackIdentifier -> Ordering -> TrackIdentifier {- plus -} -> Float -> ConstraintM () +constrain t1 ord t2 k = do { (t,c) <- get + ; put (t, (C t1 ord t2 k):c) + ; return () + } + +constrainEqualSpace t1a t1b t2a t2b = do { (t,c) <- get + ; put (t, (EqualSpace t1a t1b t2a t2b):c) + ; return () + } + +-- | simple form for equality constraints +constrainEq (TT t1a t1b) (TT t2a t2b) = do { constrainEq t1a t2a ; constrainEq t1b t2b ; return () } +constrainEq (T t1 ) (T t2 ) = constrain t1 EQ t2 0 +constrainEq (TU t1 ) (TU t2 ) = constrain t1 EQ t2 0 +constrainEq (TU t1 ) (T t2 ) = constrain t1 EQ t2 0 +constrainEq (T t1 ) (TU t2 ) = constrain t1 EQ t2 0 +constrainEq t1 t2 = error $ "constrainEq mismatch: " ++ show t1 ++ " and " ++ show t2 + +-- | allocate a TrackIdentifier +alloc1 :: ConstraintM Tracks +alloc1 = do { (t,c) <- get + ; put (t+1,c) + ; return (T t) + } + +mkdiag :: GArrowPortShape m () a b -> ConstraintM Diagram +mkdiag (GASPortPassthrough inp outp m) = error "not supported" +mkdiag (GASPortShapeWrapper inp outp x) = mkdiag' x + where + mkdiag' :: GArrowSkeleton (GArrowPortShape m ()) a b -> ConstraintM Diagram + + mkdiag' (GAS_comp f g) = do { f' <- mkdiag' f; g' <- mkdiag' g + ; constrainEq (getOut f') (getIn g') ; return $ DiagramComp f' g' } + mkdiag' (GAS_first f) = do { (top,(TT _ x),bot) <- alloc inp; f' <- mkdiag' f ; constrainBot f' 1 (uppermost x) + ; return $ DiagramBypassBot f' x } + mkdiag' (GAS_second f) = do { (top,(TT x _),bot) <- alloc inp; f' <- mkdiag' f ; constrainTop (lowermost x) 1 f' + ; return $ DiagramBypassTop x f' } + mkdiag' (GAS_id ) = do { (top, x ,bot) <- alloc inp ; simpleDiag' "id" top x x bot [(x,x)] "gray!50" } + mkdiag' GAS_cancell = do { (top,(TT x y),bot) <- alloc inp + ; let r tp x1 y1 x2 y2 = drawBox x1 y1 x2 y2 "gray!50" "cancell" ++ + drawWires tp x1 y x2 y "black" ++ + drawLine x1 (tp!lowermost x) ((x1+x2)/2) (tp!uppermost y) "gray!50" "dashed" + ; return $ DiagramBox 2 top (TT x y) r y bot } + mkdiag' GAS_cancelr = do { (top,(TT x y),bot) <- alloc inp + ; let r tp x1 y1 x2 y2 = drawBox x1 y1 x2 y2 "gray!50" "cancelr" ++ + drawWires tp x1 x x2 x "black" ++ + drawLine x1 (tp!uppermost y) ((x1+x2)/2) (tp!lowermost x) "gray!50" "dashed" + ; return $ DiagramBox 2 top (TT x y) r x bot } + mkdiag' GAS_uncancell = do { (top,(TT x y),bot) <- alloc outp + ; let r tp x1 y1 x2 y2 = drawBox x1 y1 x2 y2 "gray!50" "uncancell" ++ + drawWires tp x1 y x2 y "black" ++ + drawLine ((x1+x2)/2) (tp!uppermost y) x2 (tp!lowermost x) "gray!50" "dashed" + ; return $ DiagramBox 2 top y r (TT x y) bot } + mkdiag' GAS_uncancelr = do { (top,(TT x y),bot) <- alloc outp + ; let r tp x1 y1 x2 y2 = drawBox x1 y1 x2 y2 "gray!50" "uncancelr" ++ + drawWires tp x1 x x2 x "black" ++ + drawLine ((x1+x2)/2) (tp!lowermost x) x2 (tp!uppermost y) "gray!50" "dashed" + ; return $ DiagramBox 2 top x r (TT x y) bot } + mkdiag' GAS_drop = do { (top, x ,bot) <- alloc inp ; simpleDiag "drop" top x x bot [] } + mkdiag' (GAS_const i) = do { (top, x ,bot) <- alloc inp + ; (_, y ,_) <- alloc outp + ; constrainEq x y + ; simpleDiag ("const " ++ show i) top x y bot [] } + mkdiag' GAS_copy = do { (top,(TT y z),bot) <- alloc outp + ; (_ , x ,_) <- alloc inp + ; constrainEqualSpace (lowermost y) (uppermost x) (lowermost x) (uppermost z) + ; let r tp x1 y1 x2 y2 = drawBox x1 y1 x2 y2 "gray!50" "copy" ++ + drawWires tp x1 x ((x1+x2)/2) x "black" ++ + drawWires tp ((x1+x2)/2) x x2 y "black" ++ + drawWires tp ((x1+x2)/2) x x2 z "black" + ; return $ DiagramBox 2 top x r (TT y z) bot + } + mkdiag' GAS_merge = do { (top,(TT x y),bot) <- alloc inp + ; simpleDiag "times" top (TT x y) x bot [] } + mkdiag' GAS_swap = do { (top,(TT x y),bot) <- alloc inp + ; (top,(TT x' y'),bot) <- alloc outp + ; constrainEq (T (lowermost x)) (T (lowermost x')) + ; constrainEq (T (uppermost y)) (T (uppermost y')) + ; simpleDiag' "swap" top (TT x y) (TT x' y') bot [(x,y'),(y,x')] "gray!50" } + mkdiag' GAS_assoc = + do { (top,(TT (TT x y) z),bot) <- alloc inp + ; let r tp x1 y1 x2 y2 + = drawBox (x1+0.2*xscale) y1 (x2-0.2*xscale) y2 "white" "assoc" ++ + drawLine x1 y1 x2 y1 "gray!50" "-" ++ + drawLine x1 y2 x2 y2 "gray!50" "-" ++ + drawLine x1 y1 x1 ((tp ! uppermost x) - 0.5) "gray!50" "-"++ + drawLine x1 ((tp ! uppermost x) - 0.5) (x1+0.2) ((tp ! uppermost x) - 0.5) "gray!50" "-"++ + drawLine (x1+0.2) ((tp ! uppermost x) - 0.5) (x1+0.2) ((tp ! lowermost y) + 0.5) "gray!50" "-"++ + drawLine (x1+0.2) ((tp ! lowermost y) + 0.5) x1 ((tp ! lowermost y) + 0.5) "gray!50" "-"++ + drawLine x1 ((tp ! lowermost y) + 0.5) x1 y2 "gray!50" "-"++ + drawLine x2 y2 x2 ((tp ! lowermost z) + 0.5) "gray!50" "-"++ + drawLine x2 ((tp ! lowermost z) + 0.5) (x2-0.2) ((tp ! lowermost z) + 0.5) "gray!50" "-"++ + drawLine (x2-0.2) ((tp ! lowermost z) + 0.5) (x2-0.2) ((tp ! uppermost y) - 0.5) "gray!50" "-"++ + drawLine (x2-0.2) ((tp ! uppermost y) - 0.5) x2 ((tp ! uppermost y) - 0.5) "gray!50" "-"++ + drawLine x2 ((tp ! uppermost y) - 0.5) x2 y1 "gray!50" "-"++ + drawWires tp x1 x x2 x "black" ++ + drawWires tp x1 y x2 y "black" ++ + drawWires tp x1 z x2 z "black" + ; let pin = (TT (TT x y) z) + ; let pout = (TT x (TT y z)) + ; return $ if draw_assoc then DiagramBox 2 top pin r pout bot else DiagramBox 0 top pin noRender pout bot + } + mkdiag' GAS_unassoc = + do { (top,(TT x (TT y z)),bot) <- alloc inp + ; let r tp x1 y1 x2 y2 + = drawBox (x1+0.2*xscale) y1 (x2-0.2*xscale) y2 "white" "unassoc" ++ + drawLine x1 y1 x2 y1 "gray!50" "-" ++ + drawLine x1 y2 x2 y2 "gray!50" "-" ++ + drawLine x2 y1 x2 ((tp ! uppermost x) - 0.5) "gray!50" "-"++ + drawLine x2 ((tp ! uppermost x) - 0.5) (x2-0.2) ((tp ! uppermost x) - 0.5) "gray!50" "-"++ + drawLine (x2-0.2) ((tp ! uppermost x) - 0.5) (x2-0.2) ((tp ! lowermost y) + 0.5) "gray!50" "-"++ + drawLine (x2-0.2) ((tp ! lowermost y) + 0.5) x2 ((tp ! lowermost y) + 0.5) "gray!50" "-"++ + drawLine x2 ((tp ! lowermost y) + 0.5) x2 y2 "gray!50" "-"++ + drawLine x1 y2 x1 ((tp ! lowermost z) + 0.5) "gray!50" "-"++ + drawLine x1 ((tp ! lowermost z) + 0.5) (x1+0.2) ((tp ! lowermost z) + 0.5) "gray!50" "-"++ + drawLine (x1+0.2) ((tp ! lowermost z) + 0.5) (x1+0.2) ((tp ! uppermost y) - 0.5) "gray!50" "-"++ + drawLine (x1+0.2) ((tp ! uppermost y) - 0.5) x1 ((tp ! uppermost y) - 0.5) "gray!50" "-"++ + drawLine x1 ((tp ! uppermost y) - 0.5) x1 y1 "gray!50" "-"++ + drawWires tp x1 x x2 x "black" ++ + drawWires tp x1 y x2 y "black" ++ + drawWires tp x1 z x2 z "black" + ; let pin = (TT x (TT y z)) + ; let pout = (TT (TT x y) z) + ; return $ if draw_assoc then DiagramBox 2 top pin r pout bot else DiagramBox 0 top pin noRender pout bot + } + mkdiag' (GAS_loopl f) = do { f' <- mkdiag' f + ; l <- allocLoop (case (getIn f') of (TT z _) -> z ; _ -> error "GAS_loopl: mismatch") + ; constrainTop (lowermost l) loopgap f' + ; return $ DiagramLoopTop l f' } + mkdiag' (GAS_loopr f) = do { f' <- mkdiag' f + ; l <- allocLoop (case (getIn f') of (TT _ z) -> z ; _ -> error "GAS_loopr: mismatch") + ; constrainBot f' loopgap (uppermost l) + ; return $ DiagramLoopBot f' l } + mkdiag' (GAS_misc f ) = mkdiag f + + diagramBox :: TrackIdentifier -> Tracks -> BoxRenderer -> Tracks -> TrackIdentifier -> ConstraintM Diagram + diagramBox ptop pin r pout pbot = do { constrain ptop LT (uppermost pin) (-1) + ; constrain pbot GT (lowermost pin) 1 + ; constrain ptop LT (uppermost pout) (-1) + ; constrain pbot GT (lowermost pout) 1 + ; constrain ptop LT pbot (-1) + ; return $ DiagramBox 2 ptop pin r pout pbot + } + simpleDiag text ptop pin pout pbot conn = simpleDiag' text ptop pin pout pbot conn "black" + simpleDiag' text ptop pin pout pbot conn color = diagramBox ptop pin defren pout pbot + where + defren tp x1 y1 x2 y2 = drawBox x1 y1 x2 y2 color text ++ + concat (map (\(x,y) -> drawWires tp x1 x x2 y "black") conn) + -- ++ wires (x-1) p1 x "green" + -- ++ wires (x+w) p2 (x+w+1) "red" + +--draw_assoc = False +--draw_first_second = False +draw_assoc = True +draw_first_second = True -- constrain that Ports is at least Int units above the topmost portion of Diagram -constrainTop :: Ports -> Int -> Diagram Ports -> UyM () () +constrainTop :: TrackIdentifier -> Float -> Diagram -> ConstraintM () constrainTop v i (DiagramComp d1 d2) = do { constrainTop v i d1 ; constrainTop v i d2 ; return () } -constrainTop v i (DiagramBypassTop p d) = constrain v 2 p +constrainTop v i (DiagramBypassTop p d) = constrain v LT (uppermost p) (-1 * i) constrainTop v i (DiagramBypassBot d p) = constrainTop v (i+1) d -constrainTop v i (DiagramPrim s ptop pin pout pbot _) = constrain v i ptop +constrainTop v i (DiagramBox wid ptop pin r pout pbot) = constrain v LT ptop (-1 * i) +constrainTop v i (DiagramLoopTop p d) = constrain v LT (uppermost p) (-1 * i) +constrainTop v i (DiagramLoopBot d p) = constrainTop v (i+1) d -- constrain that Ports is at least Int units below the bottommost portion of Diagram -constrainBot :: Diagram Ports -> Int -> Ports -> UyM () () +constrainBot :: Diagram -> Float -> TrackIdentifier -> ConstraintM () constrainBot (DiagramComp d1 d2) i v = do { constrainBot d1 i v ; constrainBot d2 i v ; return () } constrainBot (DiagramBypassTop p d) i v = constrainBot d (i+1) v -constrainBot (DiagramBypassBot d p) i v = constrain p 2 v -constrainBot (DiagramPrim s ptop pin pout pbot _) i v = constrain pbot i v - -ga2diag :: GArrowTikZ a b -> UyM () (Diagram Ports) -ga2diag (TikZ_id ) = do { (top,x,bot) <- fresh3 ; return $ DiagramPrim "id" top x x bot defren } -ga2diag (TikZ_comp g f) = do { f' <- ga2diag f - ; g' <- ga2diag g - ; unifyM (getOut f') (getIn g') - ; return $ DiagramComp f' g' } -ga2diag (TikZ_first f) = do { x <- fresh1; f' <- ga2diag f ; constrainBot f' 1 x ; return $ DiagramBypassBot f' x } -ga2diag (TikZ_second f) = do { x <- fresh1; f' <- ga2diag f ; constrainTop x 1 f' ; return $ DiagramBypassTop x f' } -ga2diag TikZ_cancell = do { (top,x,y ,bot) <- fresh4 ; return $ DiagramPrim "cancell" top (UVVal [x,y]) y bot defren } -ga2diag TikZ_cancelr = do { (top,x,y ,bot) <- fresh4 ; return $ DiagramPrim "cancelr" top (UVVal [x,y]) x bot defren } -ga2diag TikZ_uncancell = do { (top,x,y ,bot) <- fresh4 ; return $ DiagramPrim "uncancell" top y (UVVal [x,y]) bot defren } -ga2diag TikZ_uncancelr = do { (top,x,y ,bot) <- fresh4 ; return $ DiagramPrim "uncancelr" top x (UVVal [x,y]) bot defren } -ga2diag TikZ_drop = do { (top,x ,bot) <- fresh3 ; return $ DiagramPrim "drop" top x x bot defren } -ga2diag (TikZ_const i) = do { (top,x ,bot) <- fresh3 ; return $ DiagramPrim ("const " ++ show i) top x x bot defren } -ga2diag TikZ_copy = do { (top,x,y,z,bot) <- fresh5 - ; return $ DiagramPrim "copy" top y (UVVal [x,z]) bot defren } -ga2diag TikZ_merge = do { (top,x,y,z,bot) <- fresh5 - ; return $ DiagramPrim "merge" top (UVVal [x,z]) y bot defren } -ga2diag TikZ_swap = do { (top,x,y ,bot) <- fresh4 - ; return $ DiagramPrim "swap" top (UVVal [x,y]) (UVVal [x,y]) bot defren } -ga2diag TikZ_assoc = do { (top,x,y,z,bot) <- fresh5 - ; return $ DiagramPrim "assoc" top (UVVal [UVVal [x,y],z])(UVVal [x,UVVal [y,z]]) bot defren } -ga2diag TikZ_unassoc = do { (top,x,y,z,bot) <- fresh5 - ; return $ DiagramPrim "unassoc" top (UVVal [x,UVVal [y,z]])(UVVal [UVVal [x,y],z]) bot defren } -ga2diag (TikZ_loopl f) = error "not implemented" -ga2diag (TikZ_loopr f) = error "not implemented" - -defren :: String -> Int -> Int -> Int -> Ports -> Ports -> Int -> String -defren s x w top p1 p2 bot - = drawBox x top (x+w) bot "black" s --- ++ wires (x-1) p1 x "green" --- ++ wires (x+w) p2 (x+w+1) "red" +constrainBot (DiagramBypassBot d p) i v = constrain v GT (lowermost p) 2 +constrainBot (DiagramBox wid ptop pin r pout pbot) i v = constrain v GT pbot i +constrainBot (DiagramLoopTop p d) i v = constrainBot d (i+1) v +constrainBot (DiagramLoopBot d p) i v = constrain v GT (lowermost p) 2 + +-- | The width of a box is easy to calculate +width :: TrackPositions -> Diagram -> Float +width m (DiagramComp d1 d2) = (width m d1) + 1 + (width m d2) +width m (DiagramBox wid ptop pin x pout pbot) = wid +width m (DiagramBypassTop p d) = (width m d) + (if draw_first_second then 2 else 0) +width m (DiagramBypassBot d p) = (width m d) + (if draw_first_second then 2 else 0) +width m (DiagramLoopTop p d) = (width m d) + 2 + 2 * (loopgap + (m ! lowermost p) - (m ! uppermost p)) +width m (DiagramLoopBot d p) = (width m d) + 2 + 2 * (loopgap + (m ! lowermost p) - (m ! uppermost p)) + +drawWires :: TrackPositions -> Float -> Tracks -> Float -> Tracks -> String -> String +drawWires tp x1 (TT a b) x2 (TT a' b') color = drawWires tp x1 a x2 a' color ++ drawWires tp x1 b x2 b' color +drawWires tp x1 (T a) x2 (T a') color = drawLine x1 (tp!a) x2 (tp!a') color "-" +drawWires tp x1 (TU a) x2 (TU a') color = drawLine x1 (tp!a) x2 (tp!a') "gray!50" "dashed" +drawWires tp _ _ _ _ _ = error "drawwires fail" + +wirecos :: TrackPositions -> Tracks -> [(Float,Bool)] +wirecos tp (TT a b) = wirecos tp a ++ wirecos tp b +wirecos tp (T a) = [(tp!a,True)] +wirecos tp (TU a) = [(tp!a,False)] + +wire90 :: Float -> Float -> (Float,Float,Bool) -> String +wire90 x y (y1,y2,b) = drawLine' [(x,y1),(x',y1),(x',y2),(x,y2)] color (style++",rounded corners") + where + color = if b then "black" else "gray!50" + style = if b then "-" else "dashed" + x' = x - (y - y1) - loopgap -xscale = 1 -yscale = 1 +wire90' x y (y1,y2,b) = drawLine' [(x,y1),(x',y1),(x',y2),(x,y2)] color (style++",rounded corners") + where + color = if b then "black" else "gray!50" + style = if b then "-" else "dashed" + x' = x + (y - y1) + loopgap +tikZ :: TrackPositions -> + Diagram -> + Float -> -- horizontal position + String +tikZ m = tikZ' + where + tikZ' d@(DiagramComp d1 d2) x = tikZ' d1 x + ++ wires' (x+width m d1) (getOut d1) (x+width m d1+0.5) "black" "->" + ++ wires' (x+width m d1+0.5) (getOut d1) (x+width m d1+1) "black" "-" + ++ tikZ' d2 (x + width m d1 + 1) + tikZ' d'@(DiagramBypassTop p d) x = if not draw_first_second + then drawWires m x p (x+width m d) p "black" ++ tikZ' d x + else + let top = getTop d' in + let bot = getBot d' in + drawBox x top (x+width m d') bot "gray!50" "second" + ++ drawWires m x (getIn d) (x+1) (getIn d) "black" + ++ tikZ' d (x+1) + ++ drawWires m (x+1+width m d) (getOut d) (x+1+width m d+1) (getOut d) "black" + ++ drawWires m x p (x+1+width m d+1) p "black" + tikZ' d'@(DiagramBypassBot d p) x = if not draw_first_second + then drawWires m x p (x+width m d) p "black" ++ tikZ' d x + else + let top = getTop d' in + let bot = getBot d' in + drawBox x top (x+width m d') bot "gray!50" "first" + ++ drawWires m x (getIn d) (x+1) (getIn d) "black" + ++ tikZ' d (x+1) + ++ drawWires m (x+1+width m d) (getOut d) (x+1+width m d+1) (getOut d) "black" + ++ drawWires m x p (x+1+width m d+1) p "black" + tikZ' d'@(DiagramLoopTop p d) x = let top = getTop d' in + let bot = getBot d' in + let gap = loopgap + (m ! lowermost p) - (m ! uppermost p) in + drawBox x top (x+width m d') bot "gray!50" "loopl" + ++ tikZ' d (x+1+gap) + ++ drawWires m (x+1+gap) p (x+1+gap+width m d) p "black" + ++ let p' = case getIn d of TT z _ -> z ; _ -> error "DiagramLoopTop: mismatch" + pzip = map (\((y,b),(y',_)) -> (y,y',b)) $ zip (wirecos m p) (reverse $ wirecos m p') + in concatMap (wire90 (x+1+gap) (m ! lowermost p)) pzip + ++ let p' = case getOut d of TT z _ -> z ; _ -> error "DiagramLoopTop: mismatch" + pzip = map (\((y,b),(y',_)) -> (y,y',b)) $ zip (wirecos m p) (reverse $ wirecos m p') + in concatMap (wire90' (x+1+gap+width m d) (m ! lowermost p)) pzip + ++ let rest = case getIn d of TT _ z -> z ; _ -> error "DiagramLoopTop: mismatch" + in drawWires m x rest (x+1+gap) rest "black" + ++ let rest = case getOut d of TT _ z -> z ; _ -> error "DiagramLoopTop: mismatch" + in drawWires m (x+1+gap+width m d) rest (x+width m d') rest "black" + tikZ' d'@(DiagramLoopBot d p) x_ = error "not implemented" + tikZ' d@(DiagramBox wid ptop pin r pout pbot) x = r m x (m ! ptop) (x + width m d) (m ! pbot) + + wires x1 t x2 c = wires' x1 t x2 c "-" + + wires' :: Float -> Tracks -> Float -> String -> String -> String + wires' x1 (TT x y) x2 color st = wires' x1 x x2 color st ++ wires' x1 y x2 color st + wires' x1 (T v) x2 color st = drawLine x1 (m ! v) x2 (m ! v) color st -- ++ textc ((x1+x2) / 2) (m!v) (show v) "purple" + wires' x1 (TU v) x2 color st = drawLine x1 (m ! v) x2 (m ! v) "gray!50" "dashed" + + getTop :: Diagram -> Float + getTop (DiagramComp d1 d2) = min (getTop d1) (getTop d2) + getTop (DiagramBox wid ptop _ _ _ _) = m ! ptop + getTop (DiagramBypassTop p d) = (m ! uppermost p) - 1 + getTop (DiagramBypassBot d p) = getTop d - 1 + getTop (DiagramLoopTop p d) = (m ! uppermost p) - 1 + getTop (DiagramLoopBot d p) = getTop d - 1 + + getBot :: Diagram -> Float + getBot (DiagramComp d1 d2) = max (getBot d1) (getBot d2) + getBot (DiagramBox wid _ _ _ _ pbot) = m ! pbot + getBot (DiagramBypassTop p d) = getBot d + 1 + getBot (DiagramBypassBot d p) = (m ! lowermost p) + 1 + getBot (DiagramLoopTop p d) = getBot d + 1 + getBot (DiagramLoopBot d p) = (m ! lowermost p) + 1 + +-- allocates multiple tracks, adding constraints that they are at least one unit apart +alloc :: PortShape a -> ConstraintM (TrackIdentifier,Tracks,TrackIdentifier) +alloc shape = do { tracks <- alloc' shape + ; T ptop <- alloc1 + ; T pbot <- alloc1 + ; constrain ptop LT (uppermost tracks) (-1) + ; constrain pbot GT (lowermost tracks) 1 + ; return (ptop,tracks,pbot) + } + where + alloc' :: PortShape a -> ConstraintM Tracks + alloc' PortUnit = do { T x <- alloc1 ; return (TU x) } + alloc' (PortFree _) = do { x <- alloc1 ; return x } + alloc' (PortTensor p1 p2) = do { x1 <- alloc' p1 + ; x2 <- alloc' p2 + ; constrain (lowermost x1) LT (uppermost x2) (-1) + ; return (TT x1 x2) + } + +-- allocates a second set of tracks identical to the first one but constrained only relative to each other (one unit apart) +-- and upside-down +allocLoop :: Tracks -> ConstraintM Tracks +allocLoop (TU _) = do { T x <- alloc1 ; return (TU x) } +allocLoop (T _) = do { x <- alloc1 ; return x } +allocLoop (TT t1 t2) = do { x1 <- allocLoop t2 + ; x2 <- allocLoop t1 + ; constrain (lowermost x1) LT (uppermost x2) (-1) + ; return (TT x1 x2) + } + +do_lp_solve :: [Constraint] -> IO String +do_lp_solve c = do { let stdin = "min: x1;\n" ++ (foldl (++) "" (map show c)) ++ "\n" + ; putStrLn stdin + ; stdout <- readProcess "lp_solve" [] stdin + ; return stdout + } + +splitWs :: String -> [String] +splitWs s = splitWs' "" s + where + splitWs' [] [] = [] + splitWs' acc [] = [acc] + splitWs' [] (' ':k) = splitWs' [] k + splitWs' acc (' ':k) = acc:(splitWs' [] k) + splitWs' acc (x:k) = splitWs' (acc++[x]) k + +lp_solve_to_trackpos :: String -> TrackPositions +lp_solve_to_trackpos s = toTrackPos $ map parse $ catMaybes $ map grab $ lines s + where + grab ('x':k) = Just k + grab _ = Nothing + parse :: String -> (Int,Float) + parse s = case splitWs s of + [a,b] -> (read a, read b) + _ -> error "parse: should not happen" + toTrackPos :: [(Int,Float)] -> TrackPositions + toTrackPos [] tr = 0 -- error $ "could not find track "++show tr + toTrackPos ((i,f):rest) tr = if (i==tr) then f else toTrackPos rest tr + +toTikZ :: GArrowSkeleton m a b -> IO String +toTikZ g = + let cm = do { let g' = detectShape g + ; g'' <- mkdiag g' + ; return g'' + } + in do { let (_,constraints) = execState cm (0,[]) + ; lps <- do_lp_solve $ constraints + ; let m = lp_solve_to_trackpos lps + ; let d = evalState cm (0,[]) + ; let t = tikZ m d 1 + ; return (t ++ drawWires m 0 (getIn d) 1 (getIn d) "black" + ++ drawWires m (width m d+1) (getOut d) (width m d+2) (getOut d) "black") + } + + +tikz :: forall c . + (forall g . + (Int -> PGArrow g (GArrowUnit g) Int) -> + (PGArrow g (GArrowTensor g c c) c) -> + PGArrow g c c) + -> IO () +tikz x = tikz' $ beautify $ optimize $ unG (x (\c -> PGArrowD { unG = GAS_const c }) (PGArrowD { unG = GAS_merge })) + +tikz' example + = do putStrLn "\\documentclass{article}" + putStrLn "\\usepackage[paperwidth=\\maxdimen,paperheight=\\maxdimen]{geometry}" + putStrLn "\\usepackage{tikz}" + putStrLn "\\usepackage{amsmath}" + putStrLn "\\usepackage[tightpage,active]{preview}" + putStrLn "\\begin{document}" + putStrLn "\\setlength\\PreviewBorder{5pt}" + putStrLn "\\begin{preview}" + putStrLn $ "\\begin{tikzpicture}[every on chain/.style={join=by ->},yscale=-1]" + tikz <- toTikZ example + putStrLn tikz + putStrLn "\\end{tikzpicture}" + putStrLn "\\end{preview}" + --putStrLn "\\pagebreak" + --putStrLn "\\begin{align*}" + --putStr (toTikZ' example) + --putStrLn "\\end{align*}" + putStrLn "\\end{document}" + +-- Random TikZ routines textc x y text color = "\\node[anchor=center,color="++color++"] at ("++show (x*xscale)++"cm,"++show (y*yscale)++"cm) "++ "{{\\tt{"++text++"}}};\n" @@ -296,151 +546,19 @@ drawLine x1 y1 x2 y2 color style = "("++show (x1*xscale)++","++show (y1*yscale)++") -- " ++ "("++show (x2*xscale)++","++show (y2*yscale)++");\n" -width :: Diagram Ports -> Int -width (DiagramComp d1 d2) = (width d1) + 1 + (width d2) -width (DiagramPrim s _ p1 p2 _ _) = 2 -width (DiagramBypassTop p d) = (width d) + 2 -width (DiagramBypassBot d p) = (width d) + 2 +drawLine' [] color style = "" +drawLine' (xy1:xy) color style = + "\\path[draw,color="++color++","++style++"] "++ + foldl (\x y -> x ++ " -- " ++ y) (f xy1) (map f xy) + ++ ";\n" + where + f = (\(x,y) -> "("++show (x*xscale)++","++show (y*yscale)++")") -(!) :: Map UVar Int -> UVar -> Int -m ! x = case lookup x m of - Nothing -> 0 - Just y -> y +-- | x scaling factor for the entire diagram, since TikZ doesn't scale font sizes +xscale = 1 -tikZ :: Map UVar Int -> - Diagram Ports -> - Int -> -- horizontal position - String -tikZ m = tikZ' - where - tikZ' d@(DiagramComp d1 d2) x = tikZ' d1 x - ++ wires (x+width d1) (getOut d1) (x+width d1+1) "black" - ++ tikZ' d2 (x + width d1 + 1) - tikZ' d'@(DiagramBypassTop p d) x = let top = getTop d' in - let bot = getBot d' in - drawBox x top (x+width d') bot "gray!50" "second" - ++ drawLine x (top+1) (x+width d') (top+1) "black" "->" - ++ wires x (getIn d) (x+1) "black" - ++ tikZ' d (x+1) - ++ wires (x+1+width d) (getOut d) (x+1+width d+1) "black" - tikZ' d'@(DiagramBypassBot d p) x = let top = getTop d' in - let bot = getBot d' in - drawBox x top (x+width d') bot "gray!50" "first" - ++ drawLine x (bot-1) (x+width d') (bot-1) "black" "->" - ++ wires x (getIn d) (x+1) "black" - ++ tikZ' d (x+1) - ++ wires (x+1+width d) (getOut d) (x+1+width d+1) "black" - tikZ' d@(DiagramPrim s (UVVar top) p1 p2 (UVVar bot) r) x = r s x (width d) (m ! top) p1 p2 (m ! bot) - - wires :: Int -> Ports -> Int -> String -> String - wires x1 (UVVar v) x2 color = drawLine x1 (m ! v) x2 (m ! v) color "->" - -- ++ textc ((x1+x2) `div` 2) (m!v) (show v) "purple" - wires x1 (UVVal vl) x2 color = foldr (\x y -> x ++ " " ++ y) [] (map (\v -> wires x1 v x2 color) vl) - - getTop :: Diagram Ports -> Int - getTop (DiagramComp d1 d2) = min (getTop d1) (getTop d2) - getTop (DiagramBypassTop p d) = (m ! getleft p) - 1 - getTop (DiagramBypassBot d p) = getTop d - 1 - getTop (DiagramPrim s (UVVar ptop) _ _ _ _) = m ! ptop - - getBot :: Diagram Ports -> Int - getBot (DiagramComp d1 d2) = max (getBot d1) (getBot d2) - getBot (DiagramBypassTop p d) = getBot d + 1 - getBot (DiagramBypassBot d p) = (m ! getright p) + 1 - getBot (DiagramPrim s _ _ _ (UVVar pbot) _) = m ! pbot - -resolve' (DiagramComp d1 d2) = do { d1' <- resolve' d1 ; d2' <- resolve' d2 ; return $ DiagramComp d1' d2' } -resolve' (DiagramBypassTop p d) = do { p' <- getM p ; d' <- resolve' d ; return $ DiagramBypassTop p' d' } -resolve' (DiagramBypassBot d p) = do { p' <- getM p ; d' <- resolve' d ; return $ DiagramBypassBot d' p' } -resolve' (DiagramPrim s ptop pin pout pbot r) - = do { ptop' <- getM ptop - ; pbot' <- getM pbot - ; pin' <- getM pin - ; pout' <- getM pout - ; return $ DiagramPrim s ptop' pin' pout' pbot' r } - -getleft (UVVar v) = v -getleft (UVVal vl) = getleft (head vl) - -getright (UVVar v) = v -getright (UVVal vl) = getright (last vl) - -strip :: [(Ports,Int,Ports)] -> [(UVar,Int,UVar)] -strip = map (\(v1,x,v2) -> (getright v1, x, getleft v2)) - - --- must use bubblesort because the ordering isn't transitive -sortit :: [(UVar,Int,UVar)] -> [(UVar,Int,UVar)] -sortit x = stupidSort x [] - where - stupidSort [] x = x - stupidSort (h:t) x = stupidSort t (stupidInsert h x) - - stupidInsert t [] = [t] - stupidInsert t@(_,_,t') ((a@(_,_,a')):b) = if cmp' x t' a' == LT - then t:a:b - else a:(stupidInsert t b) - - cmp' :: [(UVar,Int,UVar)] -> UVar -> UVar -> Ordering - cmp' [] a b = EQ -- compare a b - cmp' ((v1,_,v2):r) a b = if a == v1 && b==v2 - then LT - else if a == v2 && b==v1 - then GT - else cmp' r a b - -lookup'' :: Map UVar Int -> UVar -> Int -lookup'' m x = case lookup x m of - Nothing -> 0 - Just y -> y - -valuatit :: Map UVar Int -> [(UVar,Int,UVar)] -> Map UVar Int -valuatit m [] = m -valuatit m ((v1,k,v2):r) = valuatit m' r - where - m' = insert v2 v2' m - v2' = max (lookup'' m v2) (k+(lookup'' m v1)) - -resolve'k :: UyM () [(Ports,Int,Ports)] -resolve'k = do { k <- getK - ; k' <- mapM (\(v1,x,v2) -> do { v1' <- getM v1 ; v2' <- getM v2 ; return (v1',x,v2') }) k - ; return k' - } - -toTikZ :: GArrowTikZ a b -> String -toTikZ g = tikZ m d 0 - where - (_,_,_,(d,k)) = runU $ do { d <- ga2diag g - ; d' <- resolve' d - ; k' <- resolve'k - ; return (d',k') } - s = sortit (strip k) - m = valuatit empty s -toTikZ' :: GArrowTikZ a b -> String -toTikZ' g = foldr (\x y -> x++"\\\\\n"++y) [] (map foo s) - where - (_,_,_,k) = runU $ ga2diag g >>= resolve' >>= \_ -> resolve'k - foo (v1,v,v2) = "x_{"++show v1++"} + "++show v++" \\leq x_{"++show v2++"} = " ++ (show $ lookup'' m v2) - s = sortit (strip k) - m = valuatit empty s - -tikz' :: (forall g a . - PGArrow g (GArrowUnit g) a -> - ( - forall b . PGArrow g (GArrowTensor g b b) b) -> - PGArrow g (GArrowUnit g) a) -> IO () -tikz' x = tikz $ unG (x (PGArrowD { unG = TikZ_const 12 }) (PGArrowD { unG = TikZ_merge }) ) -main = do putStrLn "hello" -tikz example - = do putStrLn "\\documentclass{article}" - putStrLn "\\usepackage[landscape,paperheight=20in,textwidth=19in]{geometry}" - putStrLn "\\usepackage{tikz}" - putStrLn "\\usepackage{amsmath}" - putStrLn "\\begin{document}" - putStrLn $ "\\begin{tikzpicture}[every on chain/.style={join=by ->},yscale=-1]" - putStrLn (toTikZ example) - putStrLn "\\end{tikzpicture}" --- putStrLn "\\begin{align*}" --- putStr (toTikZ' example) --- putStrLn "\\end{align*}" - putStrLn "\\end{document}" +-- | y scaling factor for the entire diagram, since TikZ doesn't scale font sizes +yscale = 1 + +-- | extra gap placed between loopback wires and the contents of the loop module +loopgap = 1 \ No newline at end of file