Copyright	(C) 2013-2016 University of Twente
License	BSD2 (see the file LICENSE)
Maintainer	Christiaan Baaij <christiaan.baaij@gmail.com>
Safe Haskell	Safe
Language	Haskell2010
Extensions	MonoLocalBinds TypeFamilies DataKinds ConstrainedClassMethods MultiParamTypeClasses KindSignatures ExplicitNamespaces

Clash.Class.Num

Contents

Arithmetic functions for arguments and results of different precision
Saturating arithmetic functions

Description

Synopsis

class ExtendingNum a b where
- type AResult a b
- type MResult a b
data SaturationMode
- = SatWrap
- | SatBound
- | SatZero
- | SatSymmetric
class (Bounded a, Num a) => SaturatingNum a where
boundedPlus :: SaturatingNum a => a -> a -> a
boundedMin :: SaturatingNum a => a -> a -> a
boundedMult :: SaturatingNum a => a -> a -> a

Arithmetic functions for arguments and results of different precision

class ExtendingNum a b where #

Adding, subtracting, and multiplying values of two different (sub-)types.

Minimal complete definition

plus, minus, times

Associated Types

type AResult a b #

Type of the result of the addition or subtraction

type MResult a b #

Type of the result of the multiplication

Methods

plus :: a -> b -> AResult a b #

Add values of different (sub-)types, return a value of a (sub-)type that is potentially different from either argument.

minus :: a -> b -> AResult a b #

Subtract values of different (sub-)types, return a value of a (sub-)type that is potentially different from either argument.

times :: a -> b -> MResult a b #

Multiply values of different (sub-)types, return a value of a (sub-)type that is potentially different from either argument.

Instances

(KnownNat m, KnownNat n) => ExtendingNum (BitVector m) (BitVector n) #
Instance details Defined in Clash.Sized.Internal.BitVector Associated Types type AResult (BitVector m) (BitVector n) :: * # type MResult (BitVector m) (BitVector n) :: * # Methods plus :: BitVector m -> BitVector n -> AResult (BitVector m) (BitVector n) # minus :: BitVector m -> BitVector n -> AResult (BitVector m) (BitVector n) # times :: BitVector m -> BitVector n -> MResult (BitVector m) (BitVector n) #
ExtendingNum (Index m) (Index n) #
Instance details Defined in Clash.Sized.Internal.Index Associated Types type AResult (Index m) (Index n) :: * # type MResult (Index m) (Index n) :: * # Methods plus :: Index m -> Index n -> AResult (Index m) (Index n) # minus :: Index m -> Index n -> AResult (Index m) (Index n) # times :: Index m -> Index n -> MResult (Index m) (Index n) #
(KnownNat m, KnownNat n) => ExtendingNum (Unsigned m) (Unsigned n) #
Instance details Defined in Clash.Sized.Internal.Unsigned Associated Types type AResult (Unsigned m) (Unsigned n) :: * # type MResult (Unsigned m) (Unsigned n) :: * # Methods plus :: Unsigned m -> Unsigned n -> AResult (Unsigned m) (Unsigned n) # minus :: Unsigned m -> Unsigned n -> AResult (Unsigned m) (Unsigned n) # times :: Unsigned m -> Unsigned n -> MResult (Unsigned m) (Unsigned n) #
ExtendingNum (Signed m) (Signed n) #
Instance details Defined in Clash.Sized.Internal.Signed Associated Types type AResult (Signed m) (Signed n) :: * # type MResult (Signed m) (Signed n) :: * # Methods plus :: Signed m -> Signed n -> AResult (Signed m) (Signed n) # minus :: Signed m -> Signed n -> AResult (Signed m) (Signed n) # times :: Signed m -> Signed n -> MResult (Signed m) (Signed n) #
ENumFixedC rep int1 frac1 int2 frac2 => ExtendingNum (Fixed rep int1 frac1) (Fixed rep int2 frac2) #	When used in a polymorphic setting, use the following Constraint synonyms for less verbose type signatures: `ENumFixedC rep frac1 frac2 size1 size2` for: `Fixed` `ENumSFixedC int1 frac1 int2 frac2` for: `SFixed` `ENumUFixedC int1 frac1 int2 frac2` for: `UFixed`
Instance details Defined in Clash.Sized.Fixed Associated Types type AResult (Fixed rep int1 frac1) (Fixed rep int2 frac2) :: * # type MResult (Fixed rep int1 frac1) (Fixed rep int2 frac2) :: * # Methods plus :: Fixed rep int1 frac1 -> Fixed rep int2 frac2 -> AResult (Fixed rep int1 frac1) (Fixed rep int2 frac2) # minus :: Fixed rep int1 frac1 -> Fixed rep int2 frac2 -> AResult (Fixed rep int1 frac1) (Fixed rep int2 frac2) # times :: Fixed rep int1 frac1 -> Fixed rep int2 frac2 -> MResult (Fixed rep int1 frac1) (Fixed rep int2 frac2) #

Saturating arithmetic functions

data SaturationMode #

Determine how overflow and underflow are handled by the functions in SaturatingNum

Constructors

SatWrap	Wrap around on overflow and underflow
SatBound	Become `maxBound` on overflow, and `minBound` on underflow
SatZero	Become `0` on overflow and underflow
SatSymmetric	Become `maxBound` on overflow, and (`minBound + 1`) on underflow for signed numbers, and `minBound` for unsigned numbers.

Instances

Eq SaturationMode #
Instance details Defined in Clash.Class.Num Methods (==) :: SaturationMode -> SaturationMode -> Bool # (/=) :: SaturationMode -> SaturationMode -> Bool #

class (Bounded a, Num a) => SaturatingNum a where #

Num operators in which overflow and underflow behaviour can be specified using SaturationMode.

Minimal complete definition

satPlus, satMin, satMult

Methods

satPlus :: SaturationMode -> a -> a -> a #

Addition with parametrisable over- and underflow behaviour

satMin :: SaturationMode -> a -> a -> a #

Subtraction with parametrisable over- and underflow behaviour

satMult :: SaturationMode -> a -> a -> a #

Multiplication with parametrisable over- and underflow behaviour

Instances

KnownNat n => SaturatingNum (BitVector n) #
Instance details Defined in Clash.Sized.Internal.BitVector Methods satPlus :: SaturationMode -> BitVector n -> BitVector n -> BitVector n # satMin :: SaturationMode -> BitVector n -> BitVector n -> BitVector n # satMult :: SaturationMode -> BitVector n -> BitVector n -> BitVector n #
(KnownNat n, 1 <= n) => SaturatingNum (Index n) #
Instance details Defined in Clash.Sized.Internal.Index Methods satPlus :: SaturationMode -> Index n -> Index n -> Index n # satMin :: SaturationMode -> Index n -> Index n -> Index n # satMult :: SaturationMode -> Index n -> Index n -> Index n #
KnownNat n => SaturatingNum (Unsigned n) #
Instance details Defined in Clash.Sized.Internal.Unsigned Methods satPlus :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n # satMin :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n # satMult :: SaturationMode -> Unsigned n -> Unsigned n -> Unsigned n #
KnownNat n => SaturatingNum (Signed n) #
Instance details Defined in Clash.Sized.Internal.Signed Methods satPlus :: SaturationMode -> Signed n -> Signed n -> Signed n # satMin :: SaturationMode -> Signed n -> Signed n -> Signed n # satMult :: SaturationMode -> Signed n -> Signed n -> Signed n #
NumFixedC rep int frac => SaturatingNum (Fixed rep int frac) #
Instance details Defined in Clash.Sized.Fixed Methods satPlus :: SaturationMode -> Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # satMin :: SaturationMode -> Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # satMult :: SaturationMode -> Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac #

boundedPlus :: SaturatingNum a => a -> a -> a #

Addition that clips to maxBound on overflow, and minBound on underflow

boundedMin :: SaturatingNum a => a -> a -> a #

Subtraction that clips to maxBound on overflow, and minBound on underflow

boundedMult :: SaturatingNum a => a -> a -> a #

Multiplication that clips to maxBound on overflow, and minBound on underflow