```{- |
Module     : Data.Convertible.Instances.Num

Maintainer : John Goerzen <jgoerzen@complete.org>
Stability  : provisional
Portability: portable

Numeric instances for Convertible.

Copyright (C) 2009-2011 John Goerzen <jgoerzen@complete.org>

These instances perform conversion between numeric types such as Double, Int, Integer,
Rational, and the like.  Here are some notes about the conversion process:

Conversions from floating-point types such as Double to integral types are done via the
'truncate' function.  This is a somewhat arbitrary decision; if you need different
behavior, you will have to write your own instance or manually perform the conversion.

All conversions perform bounds checking.  If a value is too large for its destination
type, you will get a 'ConvertError' informing you of this.  Note that this behavior
differs from functions in the Haskell standard libraries, which will perform the
conversion without error, but give you garbage in the end.

Conversions do not perform precision checking; loss of precision is implied with certain
conversions (for instance, Double to Float) and this is not an error.
-}

module Data.Convertible.Instances.Num()
where

import Data.Convertible.Base
import Data.Convertible.Utils
import Data.Int
import Data.Word

------------------------------------------------------------

{- The following instances generated by this code:

fp = ["Double", "Float", "Rational"]
int = ["Int", "Int8", "Int16", "Int32", "Int64", "Word", "Word8", "Word16", "Word32",
"Word64"]
allItems l1 l2 = concatMap (\x -> map (\y -> (x, y)) int) fp
work = allItems fp int
printIt (f, i) =
"instance Convertible " ++ f ++ " " ++ i ++ " where \n\
\    safeConvert = boundedConversion (return . truncate)\n\
\instance Convertible " ++ i ++ " " ++ f ++ " where \n\
\    safeConvert = return . fromIntegral\n"

main = mapM_ (putStrLn . printIt) work
-}

instance Convertible Double Int where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int Double where
safeConvert = return . fromIntegral

instance Convertible Double Int8 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int8 Double where
safeConvert = return . fromIntegral

instance Convertible Double Int16 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int16 Double where
safeConvert = return . fromIntegral

instance Convertible Double Int32 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int32 Double where
safeConvert = return . fromIntegral

instance Convertible Double Int64 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int64 Double where
safeConvert = return . fromIntegral

instance Convertible Double Word where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word Double where
safeConvert = return . fromIntegral

instance Convertible Double Word8 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word8 Double where
safeConvert = return . fromIntegral

instance Convertible Double Word16 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word16 Double where
safeConvert = return . fromIntegral

instance Convertible Double Word32 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word32 Double where
safeConvert = return . fromIntegral

instance Convertible Double Word64 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word64 Double where
safeConvert = return . fromIntegral

instance Convertible Float Int where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int Float where
safeConvert = return . fromIntegral

instance Convertible Float Int8 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int8 Float where
safeConvert = return . fromIntegral

instance Convertible Float Int16 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int16 Float where
safeConvert = return . fromIntegral

instance Convertible Float Int32 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int32 Float where
safeConvert = return . fromIntegral

instance Convertible Float Int64 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int64 Float where
safeConvert = return . fromIntegral

instance Convertible Float Word where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word Float where
safeConvert = return . fromIntegral

instance Convertible Float Word8 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word8 Float where
safeConvert = return . fromIntegral

instance Convertible Float Word16 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word16 Float where
safeConvert = return . fromIntegral

instance Convertible Float Word32 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word32 Float where
safeConvert = return . fromIntegral

instance Convertible Float Word64 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word64 Float where
safeConvert = return . fromIntegral

instance Convertible Rational Int where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Int8 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int8 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Int16 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int16 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Int32 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int32 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Int64 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Int64 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Word where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Word8 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word8 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Word16 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word16 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Word32 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word32 Rational where
safeConvert = return . fromIntegral

instance Convertible Rational Word64 where
safeConvert = boundedConversion (return . truncate)
instance Convertible Word64 Rational where
safeConvert = return . fromIntegral

------------------------------------------------------------
{- The following instances generated by this code:

int = ["Int", "Int8", "Int16", "Int32", "Int64", "Word", "Word8", "Word16", "Word32",
"Word64"]
allItems l1 l2 = concatMap (\x -> map (\y -> (x, y)) l1) l2
work = filter (\(a, b) -> a /= b) (allItems int int)
printIt (f, i) =
"instance Convertible " ++ f ++ " " ++ i ++ " where \n\
\    safeConvert = boundedConversion (return . fromIntegral)\n"

printInteger i =
"instance Convertible Integer " ++ i ++ " where \n\
\    safeConvert = boundedConversion (return . fromIntegral)\n\
\instance Convertible " ++ i ++ " Integer where \n\
\    safeConvert = return . fromIntegral\n\n"

main = do mapM_ (putStrLn . printIt) work
mapM_ (putStrLn . printInteger) int
-}

instance Convertible Int Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int8 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int16 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int32 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Int64 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word8 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word16 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word32 Word64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Int where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Int8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Int16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Int32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Int64 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Word where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Word8 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Word16 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Word64 Word32 where
safeConvert = boundedConversion (return . fromIntegral)

instance Convertible Integer Int where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Int Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Int8 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Int8 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Int16 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Int16 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Int32 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Int32 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Int64 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Int64 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Word where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Word Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Word8 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Word8 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Word16 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Word16 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Word32 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Word32 Integer where
safeConvert = return . fromIntegral

instance Convertible Integer Word64 where
safeConvert = boundedConversion (return . fromIntegral)
instance Convertible Word64 Integer where
safeConvert = return . fromIntegral

------------------------------------------------------------

instance Convertible Integer Double where
safeConvert = return . fromIntegral
instance Convertible Integer Float where
safeConvert = return . fromIntegral
instance Convertible Integer Rational where
safeConvert = return . fromIntegral
instance Convertible Double Integer where
safeConvert = return . truncate
instance Convertible Float Integer where
safeConvert = return . truncate
instance Convertible Rational Integer where
safeConvert = return . truncate

instance Convertible Float Double where
safeConvert = return . realToFrac
instance Convertible Double Float where
safeConvert = return . realToFrac
instance Convertible Float Rational where
safeConvert = return . toRational
instance Convertible Rational Float where
safeConvert = return . fromRational
instance Convertible Double Rational where
safeConvert = return . toRational
instance Convertible Rational Double where
safeConvert = return . fromRational

------------------------------------------------------------
instance Convertible Char Integer where
safeConvert = return . fromIntegral . fromEnum
instance Convertible Integer Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

------------------------------------------------------------
{- These instances generated by:

int = ["Int", "Int8", "Int16", "Int32", "Int64", "Word", "Word8", "Word16", "Word32",
"Word64"]
printIt i =
"instance Convertible Char " ++ i ++ " where \n\
\    safeConvert = boundedConversion (return . fromIntegral . fromEnum)\n\
\instance Convertible " ++ i ++ " Char where \n\
\    safeConvert = boundedConversion (return . toEnum . fromIntegral)\n\n"

main = do mapM_ (putStrLn . printIt) int
-}

instance Convertible Char Int where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Int Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Int8 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Int8 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Int16 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Int16 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Int32 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Int32 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Int64 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Int64 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Word where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Word Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Word8 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Word8 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Word16 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Word16 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Word32 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Word32 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Char Word64 where
safeConvert = boundedConversion (return . fromIntegral . fromEnum)
instance Convertible Word64 Char where
safeConvert = boundedConversion (return . toEnum . fromIntegral)

instance Convertible Integer Integer where
safeConvert = return . id
```