Linear.Epsilon

Testing for values "near" zero

Documentation

class Num a => Epsilon a where

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

>>> nearZero (1e-11 :: Double)
False

>>> nearZero (1e-17 :: Double)
True

>>> nearZero (1e-5 :: Float)
False

>>> nearZero (1e-7 :: Float)
True

Minimal complete definition

nearZero

Methods

nearZero :: a -> Bool

Determine if a quantity is near zero.

Instances

Epsilon Double

abs a <= 1e-12

Methods

nearZero :: Double -> Bool

Epsilon Float

abs a <= 1e-6

Methods

nearZero :: Float -> Bool

Epsilon CFloat

abs a <= 1e-6

Methods

nearZero :: CFloat -> Bool

Epsilon CDouble

abs a <= 1e-12

Methods

nearZero :: CDouble -> Bool

Epsilon (V0 a)

Methods

nearZero :: V0 a -> Bool

Epsilon a => Epsilon (V1 a)

Methods

nearZero :: V1 a -> Bool

Epsilon a => Epsilon (V2 a)

Methods

nearZero :: V2 a -> Bool

Epsilon a => Epsilon (V3 a)

Methods

nearZero :: V3 a -> Bool

Epsilon a => Epsilon (V4 a)

Methods

nearZero :: V4 a -> Bool

Epsilon a => Epsilon (Plucker a)

Methods

nearZero :: Plucker a -> Bool

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

Methods

nearZero :: Quaternion a -> Bool

Epsilon (f a) => Epsilon (Point f a)

Methods

nearZero :: Point f a -> Bool

(Dim k n, Epsilon a) => Epsilon (V k n a)

Methods

nearZero :: V k n a -> Bool