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sbv-11.1: Data/SBV/Utils/Lib.hs

-----------------------------------------------------------------------------
-- |
-- Module    : Data.SBV.Utils.Lib
-- Copyright : (c) Levent Erkok
-- License   : BSD3
-- Maintainer: erkokl@gmail.com
-- Stability : experimental
--
-- Misc helpers
-----------------------------------------------------------------------------

{-# LANGUAGE RankNTypes          #-}
{-# LANGUAGE ScopedTypeVariables #-}

{-# OPTIONS_GHC -Wall -Werror #-}

module Data.SBV.Utils.Lib ( mlift2, mlift3, mlift4, mlift5, mlift6, mlift7, mlift8
                          , joinArgs, splitArgs
                          , stringToQFS, qfsToString
                          , isKString
                          , checkObservableName
                          , needsBars, isEnclosedInBars
                          , noSurrounding, unQuote, unBar, nameSupply
                          ,   curry2,   curry3,   curry4,   curry5,   curry6,   curry7,   curry8,   curry9,   curry10,   curry11,   curry12
                          , uncurry2, uncurry3, uncurry4, uncurry5, uncurry6, uncurry7, uncurry8, uncurry9, uncurry10, uncurry11, uncurry12
                          )
                          where

import Data.Char    (isSpace, chr, ord, isDigit, isAscii, isAlphaNum)
import Data.List    (isPrefixOf, isSuffixOf)
import Data.Dynamic (fromDynamic, toDyn, Typeable)
import Data.Maybe   (fromJust, isJust, isNothing)

import Numeric (readHex, showHex)

import Data.SBV.SMT.SMTLibNames (isReserved)

-- | We have a nasty issue with the usual String/List confusion in Haskell. However, we can
-- do a simple dynamic trick to determine where we are. The ice is thin here, but it seems to work.
isKString :: forall a. Typeable a => a -> Bool
isKString _ = isJust (fromDynamic (toDyn (undefined :: a)) :: Maybe String)

-- | Monadic lift over 2-tuples
mlift2 :: Monad m => (a' -> b' -> r) -> (a -> m a') -> (b -> m b') -> (a, b) -> m r
mlift2 k f g (a, b) = f a >>= \a' -> g b >>= \b' -> return $ k a' b'

-- | Monadic lift over 3-tuples
mlift3 :: Monad m => (a' -> b' -> c' -> r) -> (a -> m a') -> (b -> m b') -> (c -> m c') -> (a, b, c) -> m r
mlift3 k f g h (a, b, c) = f a >>= \a' -> g b >>= \b' -> h c >>= \c' -> return $ k a' b' c'

-- | Monadic lift over 4-tuples
mlift4 :: Monad m => (a' -> b' -> c' -> d' -> r) -> (a -> m a') -> (b -> m b') -> (c -> m c') -> (d -> m d') -> (a, b, c, d) -> m r
mlift4 k f g h i (a, b, c, d) = f a >>= \a' -> g b >>= \b' -> h c >>= \c' -> i d >>= \d' -> return $ k a' b' c' d'

-- | Monadic lift over 5-tuples
mlift5 :: Monad m => (a' -> b' -> c' -> d' -> e' -> r) -> (a -> m a') -> (b -> m b') -> (c -> m c') -> (d -> m d') -> (e -> m e') -> (a, b, c, d, e) -> m r
mlift5 k f g h i j (a, b, c, d, e) = f a >>= \a' -> g b >>= \b' -> h c >>= \c' -> i d >>= \d' -> j e >>= \e' -> return $ k a' b' c' d' e'

-- | Monadic lift over 6-tuples
mlift6 :: Monad m => (a' -> b' -> c' -> d' -> e' -> f' -> r) -> (a -> m a') -> (b -> m b') -> (c -> m c') -> (d -> m d') -> (e -> m e') -> (f -> m f') -> (a, b, c, d, e, f) -> m r
mlift6 k f g h i j l (a, b, c, d, e, y) = f a >>= \a' -> g b >>= \b' -> h c >>= \c' -> i d >>= \d' -> j e >>= \e' -> l y >>= \y' -> return $ k a' b' c' d' e' y'

-- | Monadic lift over 7-tuples
mlift7 :: Monad m => (a' -> b' -> c' -> d' -> e' -> f' -> g' -> r) -> (a -> m a') -> (b -> m b') -> (c -> m c') -> (d -> m d') -> (e -> m e') -> (f -> m f') -> (g -> m g') -> (a, b, c, d, e, f, g) -> m r
mlift7 k f g h i j l m (a, b, c, d, e, y, z) = f a >>= \a' -> g b >>= \b' -> h c >>= \c' -> i d >>= \d' -> j e >>= \e' -> l y >>= \y' -> m z >>= \z' -> return $ k a' b' c' d' e' y' z'

-- | Monadic lift over 8-tuples
mlift8 :: Monad m => (a' -> b' -> c' -> d' -> e' -> f' -> g' -> h' -> r) -> (a -> m a') -> (b -> m b') -> (c -> m c') -> (d -> m d') -> (e -> m e') -> (f -> m f') -> (g -> m g') -> (h -> m h') -> (a, b, c, d, e, f, g, h) -> m r
mlift8 k f g h i j l m n (a, b, c, d, e, y, z, w) = f a >>= \a' -> g b >>= \b' -> h c >>= \c' -> i d >>= \d' -> j e >>= \e' -> l y >>= \y' -> m z >>= \z' -> n w >>= \w' -> return $ k a' b' c' d' e' y' z' w'

-- Command line argument parsing code courtesy of Neil Mitchell's cmdargs package: see
-- <http://github.com/ndmitchell/cmdargs/blob/master/System/Console/CmdArgs/Explicit/SplitJoin.hs>

-- | Given a sequence of arguments, join them together in a manner that could be used on
--   the command line, giving preference to the Windows @cmd@ shell quoting conventions.
--
--   For an alternative version, intended for actual running the result in a shell, see "System.Process.showCommandForUser"
joinArgs :: [String] -> String
joinArgs = unwords . map f
    where f x = q ++ g x ++ q
            where hasSpace = any isSpace x
                  q = ['\"' | hasSpace || null x]
                  g ('\\':'\"':xs)            = '\\':'\\':'\\':'\"': g xs
                  g "\\"           | hasSpace = "\\\\"
                  g ('\"':xs)                 = '\\':'\"': g xs
                  g (x':xs)                   = x' : g xs
                  g []                        = []

data State = Init -- either I just started, or just emitted something
           | Norm -- I'm seeing characters
           | Quot -- I've seen a quote

-- | Given a string, split into the available arguments. The inverse of 'joinArgs'.
-- Courtesy of the cmdargs package.
splitArgs :: String -> [String]
splitArgs = join . f Init
    where -- Nothing is start a new string
          -- Just x is accumulate onto the existing string
          join :: [Maybe Char] -> [String]
          join [] = []
          join xs = map fromJust a : join (drop 1 b)
            where (a,b) = break isNothing xs

          f Init (x:xs) | isSpace x = f Init xs
          f Init "\"\""             = [Nothing]
          f Init "\""               = [Nothing]
          f Init xs                 = f Norm xs
          f m ('\"':'\"':'\"':xs)   = Just '\"' : f m xs
          f m ('\\':'\"':xs)        = Just '\"' : f m xs
          f m ('\\':'\\':'\"':xs)   = Just '\\' : f m ('\"':xs)
          f Norm ('\"':xs)          = f Quot xs
          f Quot ('\"':'\"':xs)     = Just '\"' : f Norm xs
          f Quot ('\"':xs)          = f Norm xs
          f Norm (x:xs) | isSpace x = Nothing : f Init xs
          f m (x:xs)                = Just x : f m xs
          f _ []                    = []

-- | Given an SMTLib string (i.e., one that works in the string theory), convert it to a Haskell equivalent
qfsToString :: String -> String
qfsToString = go
  where go "" = ""

        go ('\\':'u':'{':d4:d3:d2:d1:d0:'}' : rest) | [(v, "")] <- readHex [d4, d3, d2, d1, d0] = chr v : go rest
        go ('\\':'u':       d3:d2:d1:d0     : rest) | [(v, "")] <- readHex [    d3, d2, d1, d0] = chr v : go rest
        go ('\\':'u':'{':   d3:d2:d1:d0:'}' : rest) | [(v, "")] <- readHex [    d3, d2, d1, d0] = chr v : go rest
        go ('\\':'u':'{':      d2:d1:d0:'}' : rest) | [(v, "")] <- readHex [        d2, d1, d0] = chr v : go rest
        go ('\\':'u':'{':         d1:d0:'}' : rest) | [(v, "")] <- readHex [            d1, d0] = chr v : go rest
        go ('\\':'u':'{':            d0:'}' : rest) | [(v, "")] <- readHex [                d0] = chr v : go rest

        -- Otherwise, just proceed; hopefully we covered everything above
        go (c : rest) = c : go rest

-- | Given a Haskell string, convert it to SMTLib. if ord is 0x00020 to 0x0007E, then we print it as is
-- to cover the printable ASCII range.
stringToQFS :: String -> String
stringToQFS = concatMap cvt
  where cvt c
         | c == '"'                 = "\"\""
         | oc >= 0x20 && oc <= 0x7E = [c]
         | True                     = "\\u{" ++ showHex oc "" ++ "}"
         where oc = ord c

-- | Check if an observable name is good.
checkObservableName :: String -> Maybe String
checkObservableName lbl
  | null lbl
  = Just "SBV.observe: Bad empty name!"
  | isReserved lbl
  = Just $ "SBV.observe: The name chosen is reserved, please change it!: " ++ show lbl
  | "s" `isPrefixOf` lbl && all isDigit (drop 1 lbl)
  = Just $ "SBV.observe: Names of the form sXXX are internal to SBV, please use a different name: " ++ show lbl
  | True
  = Nothing

-- Remove one pair of surrounding 'c's, if present
noSurrounding :: Char -> String -> String
noSurrounding c (c':cs@(_:_)) | c == c' && c == last cs  = init cs
noSurrounding _ s                                        = s

-- Remove a pair of surrounding quotes
unQuote :: String -> String
unQuote = noSurrounding '"'

-- Remove a pair of surrounding bars
unBar :: String -> String
unBar = noSurrounding '|'

-- Is this string surrounded by bars? NB. There shouldn't be any other bars or backslash anywhere
isEnclosedInBars :: String -> Bool
isEnclosedInBars nm =  "|" `isPrefixOf` nm
                    && "|" `isSuffixOf` nm
                    && length nm > 2
                    && not (any (`elem` ("|\\" :: String)) (drop 1 (init nm)))

-- Does this name need bar in SMTLib2?
needsBars :: String -> Bool
needsBars ""        = error "Impossible happened: needsBars received an empty name!"
needsBars nm@(h:tl) = not (isEnclosedInBars nm || (isAscii h && all validChar tl))
 where  validChar x = isAscii x && (isAlphaNum x || x `elem` ("_" :: String))

-- An infinite supply of names, starting with a given set
nameSupply :: [String] -> [String]
nameSupply preSupply = preSupply ++ map mkUnique extras
  where extras =  ["x", "y", "z"]                           -- x y z
               ++ [[c] | c <- ['a' .. 'w']]                 -- a b c ... w
               ++ ['x' : show i | i <- [(1::Int) ..]]       -- x1 x2 x3 ...

        -- make sure extras are different than preSupply. Note that extras
        -- themselves are unique, so we only have to check the preSupply
        mkUnique x | x `elem` preSupply = mkUnique $ x ++ "'"
                   | True               = x

-- Different arities of curry/uncurry
curry2 :: ((a, b) -> z) -> a -> b -> z
curry2 fn a b = fn (a, b)

curry3 :: ((a, b, c) -> z) -> a -> b -> c -> z
curry3 fn a b c = fn (a, b, c)

curry4 :: ((a, b, c, d) -> z) -> a -> b -> c -> d -> z
curry4 fn a b c d = fn (a, b, c, d)

curry5 :: ((a, b, c, d, e) -> z) -> a -> b -> c -> d -> e -> z
curry5 fn a b c d e = fn (a, b, c, d, e)

curry6 :: ((a, b, c, d, e, f) -> z) -> a -> b -> c -> d -> e -> f -> z
curry6 fn a b c d e f = fn (a, b, c, d, e, f)

curry7 :: ((a, b, c, d, e, f, g) -> z) -> a -> b -> c -> d -> e -> f -> g -> z
curry7 fn a b c d e f g = fn (a, b, c, d, e, f, g)

curry8 :: ((a, b, c, d, e, f, g, h) -> z) -> a -> b -> c -> d -> e -> f -> g -> h -> z
curry8 fn a b c d e f g h = fn (a, b, c, d, e, f, g, h)

curry9 :: ((a, b, c, d, e, f, g, h, i) -> z) -> a -> b -> c -> d -> e -> f -> g -> h -> i -> z
curry9 fn a b c d e f g h i = fn (a, b, c, d, e, f, g, h, i)

curry10 :: ((a, b, c, d, e, f, g, h, i, j) -> z) -> a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> z
curry10 fn a b c d e f g h i j = fn (a, b, c, d, e, f, g, h, i, j)

curry11 :: ((a, b, c, d, e, f, g, h, i, j, k) -> z) -> a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> k -> z
curry11 fn a b c d e f g h i j k = fn (a, b, c, d, e, f, g, h, i, j, k)

curry12 :: ((a, b, c, d, e, f, g, h, i, j, k, l) -> z) -> a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> k -> l -> z
curry12 fn a b c d e f g h i j k l = fn (a, b, c, d, e, f, g, h, i, j, k, l)

uncurry2 :: (a -> b -> z) -> (a, b) -> z
uncurry2 fn (a, b) = fn a b

uncurry3 :: (a -> b -> c -> z) -> (a, b, c) -> z
uncurry3 fn (a, b, c) = fn a b c

uncurry4 :: (a -> b -> c -> d -> z) -> (a, b, c, d) -> z
uncurry4 fn (a, b, c, d) = fn a b c d

uncurry5 :: (a -> b -> c -> d -> e -> z) -> (a, b, c, d, e) -> z
uncurry5 fn (a, b, c, d, e) = fn a b c d e

uncurry6 :: (a -> b -> c -> d -> e -> f -> z) -> (a, b, c, d, e, f) -> z
uncurry6 fn (a, b, c, d, e, f) = fn a b c d e f

uncurry7 :: (a -> b -> c -> d -> e -> f -> g -> z) -> (a, b, c, d, e, f, g) -> z
uncurry7 fn (a, b, c, d, e, f, g) = fn a b c d e f g

uncurry8 :: (a -> b -> c -> d -> e -> f -> g -> h -> z) -> (a, b, c, d, e, f, g, h) -> z
uncurry8 fn (a, b, c, d, e, f, g, h) = fn a b c d e f g h

uncurry9 :: (a -> b -> c -> d -> e -> f -> g -> h -> i -> z) -> (a, b, c, d, e, f, g, h, i) -> z
uncurry9 fn (a, b, c, d, e, f, g, h, i) = fn a b c d e f g h i

uncurry10 :: (a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> z) -> (a, b, c, d, e, f, g, h, i, j) -> z
uncurry10 fn (a, b, c, d, e, f, g, h, i, j) = fn a b c d e f g h i j

uncurry11 :: (a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> k -> z) -> (a, b, c, d, e, f, g, h, i, j, k) -> z
uncurry11 fn (a, b, c, d, e, f, g, h, i, j, k) = fn a b c d e f g h i j k

uncurry12 :: (a -> b -> c -> d -> e -> f -> g -> h -> i -> j -> k -> l -> z) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> z
uncurry12 fn (a, b, c, d, e, f, g, h, i, j, k, l) = fn a b c d e f g h i j k l