Numeric.Eps

Testing for values "near" zero

Documentation

class (Floating a, Num a) => Epsilon a where

Provides a 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 (Complex Double)

magnitude a <= 1e-12

Methods

nearZero :: Complex Double -> Bool

Epsilon (Complex Float)

magnitude a <= 1e-6

Methods

nearZero :: Complex Float -> Bool

Epsilon (Complex CFloat)

magnitude a <= 1e-6

Methods

nearZero :: Complex CFloat -> Bool

Epsilon (Complex CDouble)

magnitude a <= 1e-12

Methods

nearZero :: Complex CDouble -> Bool

isNz :: Epsilon a => a -> Bool

Is this quantity distinguishable from 0 ?

roundZero :: Epsilon a => a -> a

roundOne :: Epsilon a => a -> a

roundZeroOne :: Epsilon a => a -> a

Round to respectively 0 or 1

nearOne :: Epsilon a => a -> Bool

Is this quantity close to 1 ?