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egison-4.0.1: hs-src/Language/Egison/Pretty.hs

{-# LANGUAGE FlexibleInstances #-}
{-# OPTIONS_GHC -Wno-orphans   #-}

{- |
Module      : Language.Egison.PrettyPrint
Licence     : MIT

This module contains pretty printing for Egison syntax
-}

module Language.Egison.Pretty
    ( prettyTopExprs
    , PrettyS(..)
    , prettyStr
    , prettyStr'
    , showTSV
    ) where

import           Data.Foldable             (toList)
import qualified Data.HashMap.Strict       as HashMap
import           Data.List                 (intercalate)
import           Data.Text.Prettyprint.Doc
import           Data.Text.Prettyprint.Doc.Render.String (renderString)
import qualified Data.Vector               as V

import           Language.Egison.AST
import           Language.Egison.MathExpr  hiding (Printable(..))
import           Language.Egison.Data

--
-- Pretty printing for Non-S syntax
--

prettyTopExprs :: [EgisonTopExpr] -> Doc [EgisonTopExpr]
prettyTopExprs exprs = vsep $ punctuate line (map pretty exprs)

instance Pretty EgisonTopExpr where
  pretty (Define x (LambdaExpr args body)) =
    hsep (pretty x : map pretty args) <+> indentBlock (pretty ":=") [pretty body]
  pretty (Define x expr) =
    pretty x <+> indentBlock (pretty ":=") [pretty expr]
  pretty (Test expr) = pretty expr
  pretty (LoadFile file) = pretty "loadFile" <+> pretty (show file)
  pretty (Load lib) = pretty "load" <+> pretty (show lib)
  pretty _ = error "Unsupported topexpr"

instance Pretty EgisonExpr where
  -- Use |viaShow| to correctly handle escaped characters
  pretty (CharExpr x)    = viaShow x
  pretty (StringExpr x)  = viaShow x
  pretty (BoolExpr x)    = pretty x
  pretty (IntegerExpr x) = pretty x
  pretty (FloatExpr x)   = pretty x
  pretty (VarExpr x)     = pretty x
  pretty FreshVarExpr    = pretty "#"
  pretty (IndexedExpr True e indices) = pretty' e <> cat (map pretty indices)
  pretty (IndexedExpr False e indices) = pretty' e <> pretty "..." <> cat (map pretty indices)
  pretty (SubrefsExpr b e1 e2) =
    applyLike [pretty "subrefs" <> (if b then pretty "!" else emptyDoc),
               pretty' e1, pretty' e2]
  pretty (SuprefsExpr b e1 e2) =
    applyLike [pretty "suprefs" <> (if b then pretty "!" else emptyDoc),
               pretty' e1, pretty' e2]
  pretty (UserrefsExpr b e1 e2) =
    applyLike [pretty "userRefs" <> (if b then pretty "!" else emptyDoc),
               pretty' e1, pretty' e2]

  pretty (InductiveDataExpr c xs) = nest 2 (sep (pretty c : map pretty' xs))

  pretty (TupleExpr xs) = tupled (map pretty xs)
  pretty (CollectionExpr xs)
    | length xs < 20 = list (map pretty xs)
    | otherwise      =
      pretty "[" <> align (fillSepAtom (punctuate comma (map pretty xs))) <> pretty "]"
  pretty (HashExpr xs)   = listoid "{|" "|}" (map (\(x, y) -> tupled [pretty x, pretty y]) xs)
  pretty (VectorExpr xs) = listoid "[|" "|]" (map pretty xs)

  pretty (LambdaExpr xs e) =
    lambdaLike (pretty "\\") (map pretty xs) (pretty "->") (pretty e)
  pretty (MemoizedLambdaExpr xs e)  =
    lambdaLike (pretty "memoizedLambda ") (map pretty xs) (pretty "->") (pretty e)
  pretty (CambdaExpr x e) =
    indentBlock (pretty "cambda" <+> pretty x <+> pretty "->") [pretty e]
  pretty (PatternFunctionExpr xs p) =
    lambdaLike (pretty "\\") (map pretty xs) (pretty "=>") (pretty p)

  pretty (IfExpr x y z) =
    indentBlock (pretty "if" <+> pretty x)
      [pretty "then" <+> pretty y, pretty "else" <+> pretty z]
  pretty (LetRecExpr bindings body) =
    hang 1 (pretty "let" <+> align (vsep (map pretty bindings)) <> hardline <> pretty "in" <+> align (pretty body))
  pretty (LetExpr _ _) = error "unreachable"
  pretty (LetStarExpr _ _) = error "unreachable"
  pretty (WithSymbolsExpr xs e) =
    indentBlock (pretty "withSymbols" <+> list (map pretty xs)) [pretty e]

  pretty (MatchExpr BFSMode tgt matcher clauses) =
    nest 2 (pretty "match"       <+> pretty tgt <+> prettyMatch matcher clauses)
  pretty (MatchExpr DFSMode tgt matcher clauses) =
    nest 2 (pretty "matchDFS"    <+> pretty tgt <+> prettyMatch matcher clauses)
  pretty (MatchAllExpr BFSMode tgt matcher clauses) =
    nest 2 (pretty "matchAll"    <+> pretty tgt <+> prettyMatch matcher clauses)
  pretty (MatchAllExpr DFSMode tgt matcher clauses) =
    nest 2 (pretty "matchAllDFS" <+> pretty tgt <+> prettyMatch matcher clauses)
  pretty (MatchLambdaExpr matcher clauses) =
    nest 2 (pretty "\\match"     <+> prettyMatch matcher clauses)
  pretty (MatchAllLambdaExpr matcher clauses) =
    nest 2 (pretty "\\matchAll"  <+> prettyMatch matcher clauses)

  pretty (MatcherExpr patDefs) =
    nest 2 (pretty "matcher" <> hardline <> align (vsep (map prettyPatDef patDefs)))
      where
        prettyPatDef (pppat, expr, body) =
          nest 2 (pipe <+> pretty pppat <+> pretty "as" <+>
            group (pretty expr) <+> pretty "with" <> hardline <>
              align (vsep (map prettyPatBody body)))
        prettyPatBody (pdpat, expr) =
          indentBlock (pipe <+> align (pretty pdpat) <+> pretty "->") [pretty expr]

  pretty (AlgebraicDataMatcherExpr patDefs) =
    nest 2 (pretty "algebraicDataMatcher" <> hardline <> align (vsep (map prettyPatDef patDefs)))
      where
        prettyPatDef (name, exprs) = pipe <+> hsep (pretty name : map pretty exprs)

  pretty (QuoteExpr e) = squote <> pretty' e
  pretty (QuoteSymbolExpr e) = pretty '`' <> pretty' e

  pretty (PrefixExpr op x@(IntegerExpr _)) = pretty op <> pretty x
  pretty (PrefixExpr op x)
    | isAtomOrApp x = pretty op <+> pretty x
    | otherwise     = pretty op <+> parens (pretty x)
  -- (x1 op' x2) op y
  pretty (InfixExpr op x@(InfixExpr op' _ _) y) =
    if priority op > priority op' || priority op == priority op' && assoc op == RightAssoc
       then parens (pretty x) <+> pretty op <> infixRight (pretty'' y)
       else pretty x          <+> pretty op <> infixRight (pretty'' y)
  -- x op (y1 op' y2)
  pretty (InfixExpr op x y@(InfixExpr op' _ _)) =
    if priority op > priority op' || priority op == priority op' && assoc op == LeftAssoc
       then pretty'' x <+> pretty op <> infixRight (parens (pretty y))
       else pretty'' x <+> pretty op <> infixRight (pretty y)
  pretty (InfixExpr op x y) =
    pretty'' x <+> pretty op <> infixRight (pretty'' y)
  pretty (SectionExpr op Nothing Nothing) = parens (pretty op)
  pretty (SectionExpr op (Just x) Nothing) = parens (pretty x <+> pretty op)
  pretty (SectionExpr op Nothing (Just x)) = parens (pretty op <+> pretty x)

  pretty (DoExpr [] y) = pretty "do" <+> pretty y
  pretty (DoExpr xs (ApplyExpr (VarExpr (Var ["return"] [])) (TupleExpr []))) =
    pretty "do" <+> align (hsepHard (map prettyDoBinds xs))
  pretty (DoExpr xs y) = pretty "do" <+> align (hsepHard (map prettyDoBinds xs ++ [pretty y]))
  pretty (IoExpr x) = pretty "io" <+> pretty x

  pretty (SeqExpr e1 e2) = applyLike [pretty "seq", pretty' e1, pretty' e2]
  pretty (ApplyExpr x y@(TupleExpr [])) = applyLike (map pretty' [x, y])
  pretty (ApplyExpr x (TupleExpr ys)) = applyLike (map pretty' (x : ys))
  pretty (ApplyExpr x y) = applyLike [pretty' x, pretty' y]
  pretty (CApplyExpr e1 e2) = applyLike [pretty "capply", pretty' e1, pretty' e2]
  pretty (AnonParamFuncExpr n e) = pretty n <> pretty '#' <> pretty' e
  pretty (AnonParamExpr n) = pretty '%' <> pretty n

  pretty (GenerateTensorExpr gen shape) =
    applyLike [pretty "generateTensor", pretty' gen, pretty' shape]
  pretty (TensorExpr e1 e2) =
    applyLike [pretty "tensor", pretty' e1, pretty' e2]
  pretty (TensorContractExpr e1) =
    applyLike [pretty "contract", pretty' e1]
  pretty (TensorMapExpr e1 e2) =
    applyLike [pretty "tensorMap", pretty' e1, pretty' e2]
  pretty (TensorMap2Expr e1 e2 e3) =
    applyLike [pretty "tensorMap2", pretty' e1, pretty' e2, pretty' e3]
  pretty (TransposeExpr e1 e2) =
    applyLike [pretty "transpose", pretty' e1, pretty' e2]
  pretty (FlipIndicesExpr _) = error "unreachable"

  pretty (FunctionExpr xs) = pretty "function" <+> tupled (map pretty xs)

  pretty SomethingExpr = pretty "something"
  pretty UndefinedExpr = pretty "undefined"

  pretty _ = pretty "REPLACEME"

instance Pretty Arg where
  pretty (ScalarArg x)         = pretty x
  pretty (InvertedScalarArg x) = pretty "*" <> pretty x
  pretty (TensorArg x)         = pretty '%' <> pretty x

instance Pretty Var where
  pretty (Var xs is) =
    concatWith (surround dot) (map pretty xs) <> hcat (map pretty is)

instance Pretty VarWithIndices where
  pretty (VarWithIndices xs is) =
    concatWith (surround dot) (map pretty xs) <> hcat (map pretty is)

instance Pretty InnerExpr where
  pretty (ElementExpr x) = pretty x
  pretty (SubCollectionExpr _) = error "Not supported"

instance {-# OVERLAPPING #-} Pretty BindingExpr where
  pretty ([var], LambdaExpr args body) =
    hsep (pretty var : map pretty args) <+> indentBlock (pretty ":=") [pretty body]
  pretty ([var], expr) = pretty var <+> pretty ":=" <+> align (pretty expr)
  pretty (vars, expr) = tupled (map pretty vars) <+> pretty ":=" <+> align (pretty expr)

instance {-# OVERLAPPING #-} Pretty MatchClause where
  pretty (pat, expr) =
    pipe <+> align (pretty pat) <+> indentBlock (pretty "->") [pretty expr]

instance {-# OVERLAPPING #-} Pretty (Index ()) where -- Used for 'Var'
  pretty Subscript{}    = pretty '_'
  pretty Superscript{}  = pretty '~'
  pretty SupSubscript{} = pretty "~_"
  pretty DFscript{}     = pretty ""
  pretty Userscript{}   = pretty '|'
  pretty _              = undefined

instance {-# OVERLAPPING #-} Pretty (Index String) where -- for 'VarWithIndices'
  pretty (Superscript s)  = pretty ("~" ++ s)
  pretty (Subscript s)    = pretty ("_" ++ s)
  pretty (SupSubscript s) = pretty ("~_" ++ s)
  pretty (DFscript _ _)   = pretty ""
  pretty (Userscript i)   = pretty ("|" ++ show i)
  pretty _                = undefined

instance (Pretty a, Complex a) => Pretty (Index a) where
  pretty (Subscript i) = pretty '_' <> pretty' i
  pretty (Superscript i) = pretty '~' <> pretty' i
  pretty (SupSubscript i) = pretty "~_" <> pretty' i
  pretty (MultiSubscript i j) = pretty '_' <> pretty' i <> pretty "..._" <> pretty' j
  pretty (MultiSuperscript i j) = pretty '~' <> pretty' i <> pretty "...~" <> pretty' j
  pretty (DFscript _ _) = undefined
  pretty (Userscript i) = pretty '|' <> pretty' i

instance Pretty EgisonPattern where
  pretty WildCard     = pretty "_"
  pretty (PatVar x)   = pretty "$" <> pretty x
  pretty (ValuePat v) = pretty "#" <> pretty' v
  pretty (PredPat v)  = pretty "?" <> pretty' v
  pretty (IndexedPat p indices) =
    pretty p <> hcat (map (\i -> pretty '_' <> pretty' i) indices)
  pretty (LetPat binds pat) =
    pretty "let" <+> align (vsep (map pretty binds)) <+> pretty "in" <+> pretty pat
  -- (p11 op' p12) op p2
  pretty (InfixPat op p1@(InfixPat op' _ _) p2) =
    if priority op > priority op' || priority op == priority op' && assoc op == RightAssoc
       then parens (pretty p1) <+> pretty (repr op) <+> pretty'' p2
       else pretty p1          <+> pretty (repr op) <+> pretty'' p2
  -- p1 op (p21 op' p22)
  pretty (InfixPat op p1 p2@(InfixPat op' _ _)) =
    if priority op > priority op' || priority op == priority op' && assoc op == LeftAssoc
       then pretty'' p1 <+> pretty (repr op) <+> parens (pretty p2)
       else pretty'' p1 <+> pretty (repr op) <+> pretty p2
  pretty (InfixPat op p1 p2) = pretty'' p1 <+> pretty (repr op) <+> pretty'' p2
  pretty (NotPat pat) = pretty "!" <> pretty' pat
  pretty (TuplePat pats) = tupled $ map pretty pats
  pretty (InductivePat "nil" []) = pretty "[]"
  pretty (InductivePat "cons" [p, InductivePat "nil" []]) = pretty "[" <> pretty p <> pretty "]"
  pretty (InductivePat ctor xs) = hsep (pretty ctor : map pretty' xs)
  pretty (LoopPat i range p1 p2) =
    hang 2 (pretty "loop" <+> pretty '$' <> pretty i <+> pretty range <>
      flatAlt (hardline <> group (pretty' p1) <> hardline <> group (pretty' p2))
              (space <> pretty' p1 <+> pretty' p2))
  pretty ContPat = pretty "..."
  pretty (PApplyPat fn ps) = applyLike (pretty' fn : map pretty' ps)
  pretty (VarPat x) = pretty ('~' : x)
  pretty SeqNilPat = pretty "{}"
  pretty (SeqConsPat p1 p2) = listoid "{" "}" (f p1 p2)
    where
      f p1 SeqNilPat = [pretty p1]
      f p1 (SeqConsPat p2 p3) = pretty p1 : f p2 p3
      f p1 p2 = [pretty p1, pretty p2]
  pretty LaterPatVar = pretty "@"
  pretty (DApplyPat p ps) = applyLike (map pretty' (p : ps))
  pretty _            = pretty "REPLACEME"

instance Pretty LoopRange where
  pretty (LoopRange from (ApplyExpr (VarExpr (Var ["from"] []))
                                    (InfixExpr (Infix { repr = "-'" }) _ (IntegerExpr 1))) pat) =
    tupled [pretty from, pretty pat]
  pretty (LoopRange from to pat) = tupled [pretty from, pretty to, pretty pat]

instance Pretty PrimitivePatPattern where
  pretty PPWildCard     = pretty "_"
  pretty PPPatVar       = pretty "$"
  pretty (PPValuePat x) = pretty ('#' : '$' : x)
  pretty (PPInductivePat x pppats) = hsep (pretty x : map pretty pppats)
  pretty (PPTuplePat pppats) = tupled (map pretty pppats)

instance Pretty PrimitiveDataPattern where
  pretty PDWildCard   = pretty "_"
  pretty (PDPatVar x) = pretty ('$' : x)
  pretty (PDInductivePat x pdpats) = applyLike (pretty x : map pretty' pdpats)
  pretty (PDTuplePat pdpats) = tupled (map pretty pdpats)
  pretty PDEmptyPat = pretty "[]"
  pretty (PDConsPat pdp1 pdp2) = pretty'' pdp1 <+> pretty "::" <+> pretty'' pdp2
  pretty (PDSnocPat pdp1 pdp2) = applyLike [pretty "snoc", pretty' pdp1, pretty' pdp2]
  pretty (PDConstantPat expr) = pretty expr

instance Pretty Infix where
  pretty op | isWedge op = pretty ("!" ++ repr op)
            | otherwise  = pretty (repr op)

class Complex a where
  isAtom :: a -> Bool
  isAtomOrApp :: a -> Bool
  isInfix :: a -> Bool

instance Complex EgisonExpr where
  isAtom (IntegerExpr i) | i < 0  = False
  isAtom (InductiveDataExpr _ []) = True
  isAtom (InductiveDataExpr _ _)  = False
  isAtom PrefixExpr{}             = False
  isAtom InfixExpr{}              = False
  isAtom ApplyExpr{}              = False
  isAtom CApplyExpr{}             = False
  isAtom LambdaExpr{}             = False
  isAtom MemoizedLambdaExpr{}     = False
  isAtom CambdaExpr{}             = False
  isAtom PatternFunctionExpr{}    = False
  isAtom IfExpr{}                 = False
  isAtom LetRecExpr{}             = False
  isAtom SubrefsExpr{}            = False
  isAtom SuprefsExpr{}            = False
  isAtom UserrefsExpr{}           = False
  isAtom WithSymbolsExpr{}        = False
  isAtom MatchExpr{}              = False
  isAtom MatchAllExpr{}           = False
  isAtom MatchLambdaExpr{}        = False
  isAtom MatchAllLambdaExpr{}     = False
  isAtom MatcherExpr{}            = False
  isAtom AlgebraicDataMatcherExpr{} = False
  isAtom GenerateTensorExpr{}     = False
  isAtom TensorExpr{}             = False
  isAtom FunctionExpr{}           = False
  isAtom TensorContractExpr{}     = False
  isAtom TensorMapExpr{}          = False
  isAtom TensorMap2Expr{}         = False
  isAtom TransposeExpr{}          = False
  isAtom _                        = True

  isAtomOrApp ApplyExpr{}         = True
  isAtomOrApp InductiveDataExpr{} = True
  isAtomOrApp e                   = isAtom e

  isInfix InfixExpr{}             = True
  isInfix _                       = False

instance Complex EgisonPattern where
  isAtom (LetPat _ _)        = False
  isAtom (InductivePat _ []) = True
  isAtom (InductivePat _ _)  = False
  isAtom (InfixPat _ _ _)    = False
  isAtom (LoopPat _ _ _ _)   = False
  isAtom (PApplyPat _ [])    = True
  isAtom (PApplyPat _ _)     = False
  isAtom _                   = True

  isAtomOrApp PApplyPat{} = True
  isAtomOrApp InductivePat{} = True
  isAtomOrApp e           = isAtom e

  isInfix (InfixPat _ _ _)   = True
  isInfix _                  = False

instance Complex PrimitiveDataPattern where
  isAtom (PDInductivePat _ []) = True
  isAtom (PDInductivePat _ _)  = False
  isAtom (PDConsPat _ _)       = False
  isAtom (PDSnocPat _ _)       = False
  isAtom _                     = True

  isAtomOrApp PDInductivePat{} = True
  isAtomOrApp PDSnocPat{}      = True
  isAtomOrApp e                = isAtom e

  isInfix (PDConsPat _ _) = True
  isInfix _               = False

pretty' :: (Pretty a, Complex a) => a -> Doc ann
pretty' x | isAtom x  = pretty x
          | otherwise = parens $ pretty x

pretty'' :: (Pretty a, Complex a) => a -> Doc ann
pretty'' x | isAtomOrApp x || isInfix x = pretty x
           | otherwise                  = parens $ pretty x

-- Display "hoge" instead of "() := hoge"
prettyDoBinds :: BindingExpr -> Doc ann
prettyDoBinds ([], expr) = pretty expr
prettyDoBinds (vs, expr) = pretty "let" <+> pretty (vs, expr)

prettyMatch :: EgisonExpr -> [MatchClause] -> Doc ann
prettyMatch matcher clauses =
  pretty "as" <> group (flatAlt (hardline <> pretty matcher) (space <> pretty matcher) <+> pretty "with") <> hardline <>
    align (vsep (map pretty clauses))

listoid :: String -> String -> [Doc ann] -> Doc ann
listoid lp rp elems =
  encloseSep (pretty lp) (pretty rp) (comma <> space) elems

-- Just like |fillSep|, but does not break the atomicity of grouped Docs
fillSepAtom :: [Doc ann] -> Doc ann
fillSepAtom [] = emptyDoc
fillSepAtom [x] = x
fillSepAtom (x:xs) = x <> fillSepAtom' xs
  where
    fillSepAtom' [] = emptyDoc
    fillSepAtom' (x:xs) =
      group (flatAlt (hardline <> x) (space <> x)) <> fillSepAtom' xs

indentBlock :: Doc ann -> [Doc ann] -> Doc ann
indentBlock header bodies =
  group (nest 2 (header <> flatAlt (hardline <> hsepHard bodies) (space <> hsep bodies)))

hsepHard :: [Doc ann] -> Doc ann
hsepHard = concatWith (\x y -> x <> hardline <> y)

lambdaLike :: Doc ann -> [Doc ann] -> Doc ann -> Doc ann -> Doc ann
lambdaLike start [] arrow body =
  indentBlock (start <> pretty "()" <+> arrow) [body]
lambdaLike start args arrow body =
  indentBlock (start <> hsep args <+> arrow) [body]

applyLike :: [Doc ann] -> Doc ann
applyLike = hang 2 . sep . map group

-- Tests if the argument can be printed in a single line, and if not,
-- inserts a line break before printing it.
-- This is useful for nicely printing infix expressions.
infixRight :: Doc ann -> Doc ann
infixRight p = group (flatAlt (hardline <> p) (space <> p))

--
-- Pretty printer for error messages
--

prettyStr :: Pretty a => a -> String
prettyStr = renderString . layoutPretty (LayoutOptions Unbounded) . pretty

prettyStr' :: (Pretty a, Complex a) => a -> String
prettyStr' = renderString . layoutPretty (LayoutOptions Unbounded) . pretty'

--
-- Pretty printer for S-expression
--

class PrettyS a where
  prettyS :: a -> String

instance PrettyS EgisonValue where
  prettyS (Char c) = "c#" ++ [c]
  prettyS (String str) = show str
  prettyS (Bool True) = "#t"
  prettyS (Bool False) = "#f"
  prettyS (ScalarData mExpr) = prettyS mExpr
  prettyS (TensorData (Tensor [_] xs js)) = "[| " ++ unwords (map prettyS (V.toList xs)) ++ " |]" ++ concatMap prettyS js
  prettyS (TensorData (Tensor [0, 0] _ js)) = "[| [|  |] |]" ++ concatMap prettyS js
  prettyS (TensorData (Tensor [_, j] xs js)) = "[| " ++ f (fromIntegral j) (V.toList xs) ++ "|]" ++ concatMap prettyS js
   where
    f _ [] = ""
    f j xs = "[| " ++ unwords (map prettyS (take j xs)) ++ " |] " ++ f j (drop j xs)
  prettyS (TensorData (Tensor ns xs js)) = "(tensor {" ++ unwords (map show ns) ++ "} {" ++ unwords (map prettyS (V.toList xs)) ++ "} )" ++ concatMap prettyS js
  prettyS (Float x) = show x
  prettyS (InductiveData name vals) = "<" ++ name ++ concatMap ((' ':) . prettyS) vals ++ ">"
  prettyS (Tuple vals)      = "[" ++ unwords (map prettyS vals) ++ "]"
  prettyS (Collection vals) = "{" ++ unwords (map prettyS (toList vals)) ++ "}"
  prettyS (IntHash hash)    = "{|" ++ unwords (map (\(key, val) -> "[" ++ show key ++ " " ++ prettyS val ++ "]") $ HashMap.toList hash) ++ "|}"
  prettyS (CharHash hash)   = "{|" ++ unwords (map (\(key, val) -> "[" ++ show key ++ " " ++ prettyS val ++ "]") $ HashMap.toList hash) ++ "|}"
  prettyS (StrHash hash)    = "{|" ++ unwords (map (\(key, val) -> "[" ++ show key ++ " " ++ prettyS val ++ "]") $ HashMap.toList hash) ++ "|}"
  prettyS UserMatcher{} = "#<user-matcher>"
  prettyS (Func Nothing _ args _) = "(lambda [" ++ unwords (map ('$':) args) ++ "] ...)"
  prettyS (Func (Just name) _ _ _) = prettyS name
  prettyS (AnonParamFunc _ n _) = show n ++ "#(...)"
  prettyS (CFunc Nothing _ name _) = "(cambda " ++ name ++ " ...)"
  prettyS (CFunc (Just name) _ _ _) = prettyS name
  prettyS (MemoizedFunc Nothing _ _ _ names _) = "(memoized-lambda [" ++ unwords names ++ "] ...)"
  prettyS (MemoizedFunc (Just name) _ _ _ _ _) = prettyS name
  prettyS PatternFunc{} = "#<pattern-function>"
  prettyS (PrimitiveFunc name _) = "#<primitive-function " ++ name ++ ">"
  prettyS (IOFunc _) = "#<io-function>"
  prettyS (Port _) = "#<port>"
  prettyS Something = "something"
  prettyS Undefined = "undefined"
  prettyS World = "#<world>"
  prettyS _ = "(not supported)"

instance PrettyS Var where
  prettyS = show

instance PrettyS ScalarData where
  prettyS (Div p1 (Plus [Term 1 []])) = prettyS p1
  prettyS (Div p1 p2)                 = "(/ " ++ prettyS p1 ++ " " ++ prettyS p2 ++ ")"

instance PrettyS PolyExpr where
  prettyS (Plus [])  = "0"
  prettyS (Plus [t]) = prettyS t
  prettyS (Plus ts)  = "(+ " ++ unwords (map prettyS ts)  ++ ")"

instance PrettyS TermExpr where
  prettyS (Term a []) = show a
  prettyS (Term 1 [x]) = showPoweredSymbol x
  prettyS (Term 1 xs) = "(* " ++ unwords (map showPoweredSymbol xs) ++ ")"
  prettyS (Term a xs) = "(* " ++ show a ++ " " ++ unwords (map showPoweredSymbol xs) ++ ")"

showPoweredSymbol :: (SymbolExpr, Integer) -> String
showPoweredSymbol (x, 1) = prettyS x
showPoweredSymbol (x, n) = prettyS x ++ "^" ++ show n

instance PrettyS SymbolExpr where
  prettyS (Symbol _ (':':':':':':_) []) = "#"
  prettyS (Symbol _ s []) = s
  prettyS (Symbol _ s js) = s ++ concatMap prettyS js
  prettyS (Apply fn mExprs) = "(" ++ prettyS fn ++ " " ++ unwords (map prettyS mExprs) ++ ")"
  prettyS (Quote mExprs) = "'" ++ prettyS mExprs
  prettyS (FunctionData name _ _ js) = show name ++ concatMap prettyS js

showTSV :: EgisonValue -> String
showTSV (Tuple (val:vals)) = foldl (\r x -> r ++ "\t" ++ x) (prettyS val) (map prettyS vals)
showTSV (Collection vals) = intercalate "\t" (map prettyS (toList vals))
showTSV val = prettyS val

instance PrettyS a => PrettyS (Index a) where
  prettyS (Subscript i)    = "_" ++ prettyS i
  prettyS (Superscript i)  = "~" ++ prettyS i
  prettyS (SupSubscript i) = "~_" ++ prettyS i
  prettyS (MultiSubscript x y) = "_[" ++ prettyS x ++ "]..._[" ++ prettyS y ++ "]"
  prettyS (MultiSuperscript x y) = "~[" ++ prettyS x ++ "]...~[" ++ prettyS y ++ "]"
  prettyS (DFscript _ _)   = ""
  prettyS (Userscript i)   = "|" ++ prettyS i

instance {-# OVERLAPPING #-} PrettyS (Index EgisonValue) where
  prettyS (Superscript i) = case i of
    ScalarData (Div (Plus [Term 1 [(Symbol _ _ (_:_), 1)]]) (Plus [Term 1 []])) -> "~[" ++ prettyS i ++ "]"
    _ -> "~" ++ prettyS i
  prettyS (Subscript i) = case i of
    ScalarData (Div (Plus [Term 1 [(Symbol _ _ (_:_), 1)]]) (Plus [Term 1 []])) -> "_[" ++ prettyS i ++ "]"
    _ -> "_" ++ prettyS i
  prettyS (SupSubscript i) = "~_" ++ prettyS i
  prettyS (DFscript i j) = "_d" ++ show i ++ show j
  prettyS (Userscript i) = case i of
    ScalarData (Div (Plus [Term 1 [(Symbol _ _ (_:_), 1)]]) (Plus [Term 1 []])) -> "_[" ++ prettyS i ++ "]"
    _ -> "|" ++ prettyS i