Safe Haskell	None
Language	Haskell2010

Basement.Numerical.Subtractive

Synopsis

Documentation

class Subtractive a where Source #

Represent class of things that can be subtracted.

Note that the result is not necessary of the same type as the operand depending on the actual type.

For example:

(-) :: Int -> Int -> Int
(-) :: DateTime -> DateTime -> Seconds
(-) :: Ptr a -> Ptr a -> PtrDiff
(-) :: Natural -> Natural -> Maybe Natural

Minimal complete definition

(-)

Associated Types

type Difference a Source #

Methods

(-) :: a -> a -> Difference a infixl 6 Source #

Instances

Subtractive Char Source #
Associated Types type Difference Char :: * Source # Methods (-) :: Char -> Char -> Difference Char Source #
Subtractive Double Source #
Associated Types type Difference Double :: * Source # Methods (-) :: Double -> Double -> Difference Double Source #
Subtractive Float Source #
Associated Types type Difference Float :: * Source # Methods (-) :: Float -> Float -> Difference Float Source #
Subtractive Int Source #
Associated Types type Difference Int :: * Source # Methods (-) :: Int -> Int -> Difference Int Source #
Subtractive Int8 Source #
Associated Types type Difference Int8 :: * Source # Methods (-) :: Int8 -> Int8 -> Difference Int8 Source #
Subtractive Int16 Source #
Associated Types type Difference Int16 :: * Source # Methods (-) :: Int16 -> Int16 -> Difference Int16 Source #
Subtractive Int32 Source #
Associated Types type Difference Int32 :: * Source # Methods (-) :: Int32 -> Int32 -> Difference Int32 Source #
Subtractive Int64 Source #
Associated Types type Difference Int64 :: * Source # Methods (-) :: Int64 -> Int64 -> Difference Int64 Source #
Subtractive Integer Source #
Associated Types type Difference Integer :: * Source # Methods (-) :: Integer -> Integer -> Difference Integer Source #
Subtractive Natural Source #
Associated Types type Difference Natural :: * Source # Methods (-) :: Natural -> Natural -> Difference Natural Source #
Subtractive Word Source #
Associated Types type Difference Word :: * Source # Methods (-) :: Word -> Word -> Difference Word Source #
Subtractive Word8 Source #
Associated Types type Difference Word8 :: * Source # Methods (-) :: Word8 -> Word8 -> Difference Word8 Source #
Subtractive Word16 Source #
Associated Types type Difference Word16 :: * Source # Methods (-) :: Word16 -> Word16 -> Difference Word16 Source #
Subtractive Word32 Source #
Associated Types type Difference Word32 :: * Source # Methods (-) :: Word32 -> Word32 -> Difference Word32 Source #
Subtractive Word64 Source #
Associated Types type Difference Word64 :: * Source # Methods (-) :: Word64 -> Word64 -> Difference Word64 Source #
Subtractive COff Source #
Associated Types type Difference COff :: * Source # Methods (-) :: COff -> COff -> Difference COff Source #
Subtractive CChar Source #
Associated Types type Difference CChar :: * Source # Methods (-) :: CChar -> CChar -> Difference CChar Source #
Subtractive CSChar Source #
Associated Types type Difference CSChar :: * Source # Methods (-) :: CSChar -> CSChar -> Difference CSChar Source #
Subtractive CUChar Source #
Associated Types type Difference CUChar :: * Source # Methods (-) :: CUChar -> CUChar -> Difference CUChar Source #
Subtractive CShort Source #
Associated Types type Difference CShort :: * Source # Methods (-) :: CShort -> CShort -> Difference CShort Source #
Subtractive CUShort Source #
Associated Types type Difference CUShort :: * Source # Methods (-) :: CUShort -> CUShort -> Difference CUShort Source #
Subtractive CInt Source #
Associated Types type Difference CInt :: * Source # Methods (-) :: CInt -> CInt -> Difference CInt Source #
Subtractive CUInt Source #
Associated Types type Difference CUInt :: * Source # Methods (-) :: CUInt -> CUInt -> Difference CUInt Source #
Subtractive CLong Source #
Associated Types type Difference CLong :: * Source # Methods (-) :: CLong -> CLong -> Difference CLong Source #
Subtractive CULong Source #
Associated Types type Difference CULong :: * Source # Methods (-) :: CULong -> CULong -> Difference CULong Source #
Subtractive CLLong Source #
Associated Types type Difference CLLong :: * Source # Methods (-) :: CLLong -> CLLong -> Difference CLLong Source #
Subtractive CULLong Source #
Associated Types type Difference CULLong :: * Source # Methods (-) :: CULLong -> CULLong -> Difference CULLong Source #
Subtractive CBool Source #
Associated Types type Difference CBool :: * Source # Methods (-) :: CBool -> CBool -> Difference CBool Source #
Subtractive CFloat Source #
Associated Types type Difference CFloat :: * Source # Methods (-) :: CFloat -> CFloat -> Difference CFloat Source #
Subtractive CDouble Source #
Associated Types type Difference CDouble :: * Source # Methods (-) :: CDouble -> CDouble -> Difference CDouble Source #
Subtractive CPtrdiff Source #
Associated Types type Difference CPtrdiff :: * Source # Methods (-) :: CPtrdiff -> CPtrdiff -> Difference CPtrdiff Source #
Subtractive CSize Source #
Associated Types type Difference CSize :: * Source # Methods (-) :: CSize -> CSize -> Difference CSize Source #
Subtractive CWchar Source #
Associated Types type Difference CWchar :: * Source # Methods (-) :: CWchar -> CWchar -> Difference CWchar Source #
Subtractive CSigAtomic Source #
Associated Types type Difference CSigAtomic :: * Source # Methods (-) :: CSigAtomic -> CSigAtomic -> Difference CSigAtomic Source #
Subtractive CClock Source #
Associated Types type Difference CClock :: * Source # Methods (-) :: CClock -> CClock -> Difference CClock Source #
Subtractive CTime Source #
Associated Types type Difference CTime :: * Source # Methods (-) :: CTime -> CTime -> Difference CTime Source #
Subtractive CUSeconds Source #
Associated Types type Difference CUSeconds :: * Source # Methods (-) :: CUSeconds -> CUSeconds -> Difference CUSeconds Source #
Subtractive CSUSeconds Source #
Associated Types type Difference CSUSeconds :: * Source # Methods (-) :: CSUSeconds -> CSUSeconds -> Difference CSUSeconds Source #
Subtractive CIntPtr Source #
Associated Types type Difference CIntPtr :: * Source # Methods (-) :: CIntPtr -> CIntPtr -> Difference CIntPtr Source #
Subtractive CUIntPtr Source #
Associated Types type Difference CUIntPtr :: * Source # Methods (-) :: CUIntPtr -> CUIntPtr -> Difference CUIntPtr Source #
Subtractive CIntMax Source #
Associated Types type Difference CIntMax :: * Source # Methods (-) :: CIntMax -> CIntMax -> Difference CIntMax Source #
Subtractive CUIntMax Source #
Associated Types type Difference CUIntMax :: * Source # Methods (-) :: CUIntMax -> CUIntMax -> Difference CUIntMax Source #
Subtractive Word128 Source #
Associated Types type Difference Word128 :: * Source # Methods (-) :: Word128 -> Word128 -> Difference Word128 Source #
Subtractive Word256 Source #
Associated Types type Difference Word256 :: * Source # Methods (-) :: Word256 -> Word256 -> Difference Word256 Source #
KnownNat n => Subtractive (Zn n) Source #
Associated Types type Difference (Zn n) :: * Source # Methods (-) :: Zn n -> Zn n -> Difference (Zn n) Source #
(KnownNat n, NatWithinBound Word64 n) => Subtractive (Zn64 n) Source #
Associated Types type Difference (Zn64 n) :: * Source # Methods (-) :: Zn64 n -> Zn64 n -> Difference (Zn64 n) Source #
Subtractive (CountOf ty) Source #
Associated Types type Difference (CountOf ty) :: * Source # Methods (-) :: CountOf ty -> CountOf ty -> Difference (CountOf ty) Source #
Subtractive (Offset ty) Source #
Associated Types type Difference (Offset ty) :: * Source # Methods (-) :: Offset ty -> Offset ty -> Difference (Offset ty) Source #