Data.Array.Accelerate.Linear.Epsilon

Free metric spaces

Documentation

class Num a => Epsilon a where

Provides a fairly subjective test to see if a quantity is near zero.

>>> nearZero (1e-11 :: Exp Double)
(0, ())

>>> nearZero (1e-17 :: Exp Double)
(1, ())

>>> nearZero (1e-5 :: Exp Float)
(0, ())

>>> nearZero (1e-7 :: Exp Float)
(1, ())

Methods

nearZero :: Exp a -> Exp Bool

Determine if a quantity is near zero.

Instances

Epsilon Double

abs a <= 1e-12

Defined in Data.Array.Accelerate.Linear.Epsilon

Methods

nearZero :: Exp Double -> Exp Bool

Epsilon Float

abs a <= 1e-6

Defined in Data.Array.Accelerate.Linear.Epsilon

Methods

nearZero :: Exp Float -> Exp Bool

Epsilon CDouble

abs a <= 1e-12

Defined in Data.Array.Accelerate.Linear.Epsilon

Methods

nearZero :: Exp CDouble -> Exp Bool

Epsilon CFloat

abs a <= 1e-6

Defined in Data.Array.Accelerate.Linear.Epsilon

Methods

nearZero :: Exp CFloat -> Exp Bool

Epsilon a => Epsilon (Plucker a)

Defined in Data.Array.Accelerate.Linear.Plucker

Methods

nearZero :: Exp (Plucker a) -> Exp Bool

(RealFloat a, Epsilon a) => Epsilon (Quaternion a)

Defined in Data.Array.Accelerate.Linear.Quaternion

Methods

nearZero :: Exp (Quaternion a) -> Exp Bool

Epsilon a => Epsilon (V4 a)

Defined in Data.Array.Accelerate.Linear.V4

Methods

nearZero :: Exp (V4 a) -> Exp Bool

Epsilon a => Epsilon (V3 a)

Defined in Data.Array.Accelerate.Linear.V3

Methods

nearZero :: Exp (V3 a) -> Exp Bool

Epsilon a => Epsilon (V2 a)

Defined in Data.Array.Accelerate.Linear.V2

Methods

nearZero :: Exp (V2 a) -> Exp Bool

Epsilon a => Epsilon (V1 a)

Defined in Data.Array.Accelerate.Linear.V1

Methods

nearZero :: Exp (V1 a) -> Exp Bool