content: -- Notices:
  --
  -- Copyright 2020 United States Government as represented by the Administrator of the National Aeronautics and Space Administration. All Rights Reserved.
   
  -- Disclaimers
  -- No Warranty: THE SUBJECT SOFTWARE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY OF ANY KIND, EITHER EXPRESSED, IMPLIED, OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, ANY WARRANTY THAT THE SUBJECT SOFTWARE WILL CONFORM TO SPECIFICATIONS, ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, OR FREEDOM FROM INFRINGEMENT, ANY WARRANTY THAT THE SUBJECT SOFTWARE WILL BE ERROR FREE, OR ANY WARRANTY THAT DOCUMENTATION, IF PROVIDED, WILL CONFORM TO THE SUBJECT SOFTWARE. THIS AGREEMENT DOES NOT, IN ANY MANNER, CONSTITUTE AN ENDORSEMENT BY GOVERNMENT AGENCY OR ANY PRIOR RECIPIENT OF ANY RESULTS, RESULTING DESIGNS, HARDWARE, SOFTWARE PRODUCTS OR ANY OTHER APPLICATIONS RESULTING FROM USE OF THE SUBJECT SOFTWARE.  FURTHER, GOVERNMENT AGENCY DISCLAIMS ALL WARRANTIES AND LIABILITIES REGARDING THIRD-PARTY SOFTWARE, IF PRESENT IN THE ORIGINAL SOFTWARE, AND DISTRIBUTES IT "AS IS."
   
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  module Common.ShowRational where
  import Data.List(elemIndex)
  import Utils
  
  -- | Convert a 'Rational' to a 'String' using the given number of decimals.
  -- If the number of decimals is not given the full precision is showed.
  -- E.g., 13.7/3 is shown as \"4.5(6)\".
  showRational :: Maybe Int -> Rational -> String
  showRational (Just n) r =
    let d = round (abs r * 10^n)
        s = show (d :: Integer)
        s' = replicate (n - length s + 1) '0' ++ s
        (h, f) = splitAt (length s' - n) s'
    in (if r < 0 then "-" else "") ++ h ++ "." ++ f
  
  showRational Nothing n =
    let (i, f) = properFraction (abs n) :: (Integer, Rational)
        si = if n < 0 then "-" ++ show i else show i
        decimals g = loop g [] ""
        loop x fs ds = if x == 0 then ds
          else
            case elemIndex x fs of
              Just j  -> let (l, r) = splitAt j ds in l ++ "(" ++ r ++ ")"
              Nothing -> let (c, g) = properFraction (10 * x) :: (Integer, Rational) in loop g (fs ++ [x]) (ds ++ show c)
    in if f == 0 then si else si ++ "." ++ decimals f
  
  showFloatC :: Rational -> String
  showFloatC rat = if isInt rat then num ++ ".0" else num 
    where
      num = showRational Nothing rat