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{-
 - Copyright 2018 Rose Hogenson
 -
 - This file is part of HSC.

 - HSC is free software: you can redistribute it and/or modify
 - it under the terms of the GNU General Public License as published by
 - the Free Software Foundation, either version 3 of the License, or
 - (at your option) any later version.
 - 
 - HSC is distributed in the hope that it will be useful,
 - but WITHOUT ANY WARRANTY; without even the implied warranty of
 - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 - GNU General Public License for more details.
 - 
 - You should have received a copy of the GNU General Public License
 - along with HSC.  If not, see <http://www.gnu.org/licenses/>.
 -}

module Expr (parseE, Expr(..)) where

import Text.Parsec
import Text.Parsec.Language
import Text.Parsec.Token
import Text.Parsec.Expr
import qualified Data.Functor.Identity

data Expr = Plus Expr Expr
          | Negate Expr
          | Minus Expr Expr
          | Times Expr Expr
          | Div Expr Expr
          | Pow Expr Expr
          | EInt Integer
          | EFloat Double
          | E
          | Pi
          | Log Expr
          | Sin Expr
          | Cos Expr
          | Sqrt Expr

tokenParser :: TokenParser st
tokenParser = haskell

parseNumber :: Parsec String u Expr
parseNumber = do n <- naturalOrFloat tokenParser
                 case n of
                   Left i -> return (EInt i)
                   Right d -> return (EFloat d)

tokenS :: String -> Parsec String u ()
tokenS s = () <$ try (symbol tokenParser s)

inner :: Parsec String u Expr
inner = parseNumber <|> E <$ tokenS "e" <|> Pi <$ tokenS "pi" <|> parens tokenParser parseExpr

binary :: String -> (a -> a -> a) -> Assoc
       -> Operator String u Data.Functor.Identity.Identity a
binary name fun assoc =
  Infix (fun <$ tokenS name) assoc

prefix :: String -> (a -> a)
       -> Operator String u Data.Functor.Identity.Identity a
prefix name fun = Prefix (fun <$ tokenS name)

table :: [[Operator String u Data.Functor.Identity.Identity Expr]]
table = [ [ prefix "log" Log, prefix "sin" Sin, prefix "cos" Cos, prefix "sqrt" Sqrt ]
        , [ prefix "-" Negate ]
        , [ binary "^" Pow AssocLeft ]
        , [ binary "*" Times AssocLeft
          , binary "/" Div AssocLeft
          ]
        , [ binary "+" Plus AssocLeft
          , binary "-" Minus AssocLeft
          ]
        ]

parseExpr :: Parsec String u Expr
parseExpr = buildExpressionParser table inner

parser :: Parsec String u Expr
parser = do whiteSpace tokenParser
            parseExpr

parseE :: String -> Either ParseError Expr
parseE s = parse parser "" s