module Model.Arithmetic (modelEval) where

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import           Calculator.Parser.Base             (parseNumber)
import           Calculator.Prim.Base               (Number)

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import           Control.Applicative                ((<*))
import           Text.ParserCombinators.Parsec
import           Text.ParserCombinators.Parsec.Expr

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modelEval :: String -> String
modelEval inp = case parse (expr <* eof) "Expression" inp of
                  Left _  -> ""
                  Right n -> show n

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expr :: Parser Number
expr = buildExpressionParser table factor <?> "Expression"

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table :: [[ Operator Char st Number ]]
table = [ [ op "^" (**) AssocRight ]
        , [ op "*" (*) AssocLeft, op "/" (/) AssocLeft ]
        , [ op "+" (+) AssocLeft, op "-" (-) AssocLeft ]
        ]
  where op s f = Infix (string s >> return f)

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parseFactor :: Parser Number
parseFactor = do
  _ <- char '('
  x <- expr
  _ <- char ')'
  return x

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factor :: Parser Number
factor = parseFactor <|> parseNumber

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