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

Methods

nearZero :: a -> Bool

Determine if a quantity is near zero.

Instances

Epsilon Double

abs a <= 1e-12

Epsilon Float

abs a <= 1e-6

Epsilon CFloat

abs a <= 1e-6

Epsilon CDouble

abs a <= 1e-12

Epsilon a => Epsilon (V0 a)

Epsilon a => Epsilon (V1 a)

Epsilon a => Epsilon (V2 a)

Epsilon a => Epsilon (V3 a)

Epsilon a => Epsilon (V4 a)

Epsilon a => Epsilon (Plucker a)

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

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

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