Safe Haskell	None
Language	Haskell2010

Numeric.Floating.IEEE.NaN

Description

This module provides the typeclass for NaN manipulation: RealFloatNaN.

In addition to Float and Double, a couple of floating-point types provided by third-party libraries can be supported via package flags: Half via half and Float128 via float128.

Synopsis

class RealFloat a => RealFloatNaN a where
- copySign :: a -> a -> a
- isSignMinus :: a -> Bool
- isSignaling :: a -> Bool
- getPayload :: a -> a
- setPayload :: a -> a
- setPayloadSignaling :: a -> a
- classify :: a -> Class
- equalByTotalOrder :: a -> a -> Bool
- compareByTotalOrder :: a -> a -> Ordering
data Class
- = SignalingNaN
- | QuietNaN
- | NegativeInfinity
- | NegativeNormal
- | NegativeSubnormal
- | NegativeZero
- | PositiveZero
- | PositiveSubnormal
- | PositiveNormal
- | PositiveInfinity
newtype TotallyOrdered a = TotallyOrdered a

Documentation

class RealFloat a => RealFloatNaN a where Source #

An instance of this class supports manipulation of NaN.

Minimal complete definition

(copySign | isSignMinus), (isSignaling | classify), getPayload, setPayload, setPayloadSignaling

Methods

copySign :: a -> a -> a Source #

Returns the first operand, with the sign of the second.

IEEE 754 copySign operation.

isSignMinus :: a -> Bool Source #

Returns True if the operand is a negative number, negative infinity, negative zero, or a NaN with negative sign bit.

IEEE 754 isSignMinus operation.

isSignaling :: a -> Bool Source #

Returns True if the operand is a signaling NaN.

IEEE 754 isSignaling operation.

Warning: GHC's optimizer is not aware of signaling NaNs.

getPayload :: a -> a Source #

Returns the payload of a NaN. Returns -1 if the operand is not a NaN.

IEEE 754 getPayload operation.

setPayload :: a -> a Source #

Returns a quiet NaN with a given payload. Returns a positive zero if the payload is invalid.

IEEE 754 setPayload operation.

setPayloadSignaling :: a -> a Source #

Returns a signaling NaN with a given payload. Returns a positive zero if the payload is invalid.

IEEE 754 setPayloadSignaling operation.

classify :: a -> Class Source #

IEEE 754 class operation.

equalByTotalOrder :: a -> a -> Bool Source #

Equality with IEEE 754 totalOrder operation.

compareByTotalOrder :: a -> a -> Ordering Source #

Comparison with IEEE 754 totalOrder operation.

Floating-point numbers should be ordered as, \(-\mathrm{qNaN} < -\mathrm{sNaN} < -\infty < \text{negative reals} < -0 < +0 < \text{positive reals} < +\infty < +\mathrm{sNaN} < +\mathrm{qNaN}\).

Instances

Instances details

RealFloatNaN Double Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.NaN Methods copySign :: Double -> Double -> Double Source # isSignMinus :: Double -> Bool Source # isSignaling :: Double -> Bool Source # getPayload :: Double -> Double Source # setPayload :: Double -> Double Source # setPayloadSignaling :: Double -> Double Source # classify :: Double -> Class Source # equalByTotalOrder :: Double -> Double -> Bool Source # compareByTotalOrder :: Double -> Double -> Ordering Source #
RealFloatNaN Float Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.NaN Methods copySign :: Float -> Float -> Float Source # isSignMinus :: Float -> Bool Source # isSignaling :: Float -> Bool Source # getPayload :: Float -> Float Source # setPayload :: Float -> Float Source # setPayloadSignaling :: Float -> Float Source # classify :: Float -> Class Source # equalByTotalOrder :: Float -> Float -> Bool Source # compareByTotalOrder :: Float -> Float -> Ordering Source #

data Class Source #

The classification of floating-point values.

Constructors

SignalingNaN
QuietNaN
NegativeInfinity
NegativeNormal
NegativeSubnormal
NegativeZero
PositiveZero
PositiveSubnormal
PositiveNormal
PositiveInfinity

Instances

Instances details

Enum Class Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.Classify Methods succ :: Class -> Class # pred :: Class -> Class # toEnum :: Int -> Class # fromEnum :: Class -> Int # enumFrom :: Class -> [Class] # enumFromThen :: Class -> Class -> [Class] # enumFromTo :: Class -> Class -> [Class] # enumFromThenTo :: Class -> Class -> Class -> [Class] #
Eq Class Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.Classify Methods (==) :: Class -> Class -> Bool # (/=) :: Class -> Class -> Bool #
Ord Class Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.Classify Methods compare :: Class -> Class -> Ordering # (<) :: Class -> Class -> Bool # (<=) :: Class -> Class -> Bool # (>) :: Class -> Class -> Bool # (>=) :: Class -> Class -> Bool # max :: Class -> Class -> Class # min :: Class -> Class -> Class #
Read Class Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.Classify Methods readsPrec :: Int -> ReadS Class # readList :: ReadS [Class] # readPrec :: ReadPrec Class # readListPrec :: ReadPrec [Class] #
Show Class Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.Classify Methods showsPrec :: Int -> Class -> ShowS # show :: Class -> String # showList :: [Class] -> ShowS #

newtype TotallyOrdered a Source #

A newtype wrapper to compare floating-point numbers by totalOrder predicate.

Constructors

TotallyOrdered a

Instances

Instances details

RealFloatNaN a => Eq (TotallyOrdered a) Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.NaN Methods (==) :: TotallyOrdered a -> TotallyOrdered a -> Bool # (/=) :: TotallyOrdered a -> TotallyOrdered a -> Bool #
RealFloatNaN a => Ord (TotallyOrdered a) Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.NaN Methods compare :: TotallyOrdered a -> TotallyOrdered a -> Ordering # (<) :: TotallyOrdered a -> TotallyOrdered a -> Bool # (<=) :: TotallyOrdered a -> TotallyOrdered a -> Bool # (>) :: TotallyOrdered a -> TotallyOrdered a -> Bool # (>=) :: TotallyOrdered a -> TotallyOrdered a -> Bool # max :: TotallyOrdered a -> TotallyOrdered a -> TotallyOrdered a # min :: TotallyOrdered a -> TotallyOrdered a -> TotallyOrdered a #
Show a => Show (TotallyOrdered a) Source #
Instance details Defined in Numeric.Floating.IEEE.Internal.NaN Methods showsPrec :: Int -> TotallyOrdered a -> ShowS # show :: TotallyOrdered a -> String # showList :: [TotallyOrdered a] -> ShowS #