Copyright	(C) 2012-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Linear.Epsilon

Description

Testing for values "near" zero

Synopsis

class Num a => Epsilon a where
- nearZero :: a -> Bool

Documentation

class Num a => Epsilon a where Source #

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 Source #

Determine if a quantity is near zero.

Instances

Epsilon Double Source #	`abs` a `<=` 1e-12
Instance details Defined in Linear.Epsilon Methods nearZero :: Double -> Bool Source #
Epsilon Float Source #	`abs` a `<=` 1e-6
Instance details Defined in Linear.Epsilon Methods nearZero :: Float -> Bool Source #
Epsilon CFloat Source #	`abs` a `<=` 1e-6
Instance details Defined in Linear.Epsilon Methods nearZero :: CFloat -> Bool Source #
Epsilon CDouble Source #	`abs` a `<=` 1e-12
Instance details Defined in Linear.Epsilon Methods nearZero :: CDouble -> Bool Source #
(Epsilon a, RealFloat a) => Epsilon (Complex a) Source #
Instance details Defined in Linear.Epsilon Methods nearZero :: Complex a -> Bool Source #
Epsilon a => Epsilon (V1 a) Source #
Instance details Defined in Linear.V1 Methods nearZero :: V1 a -> Bool Source #
Epsilon a => Epsilon (V2 a) Source #
Instance details Defined in Linear.V2 Methods nearZero :: V2 a -> Bool Source #
Epsilon a => Epsilon (V3 a) Source #
Instance details Defined in Linear.V3 Methods nearZero :: V3 a -> Bool Source #
Epsilon a => Epsilon (V4 a) Source #
Instance details Defined in Linear.V4 Methods nearZero :: V4 a -> Bool Source #
Epsilon (V0 a) Source #
Instance details Defined in Linear.V0 Methods nearZero :: V0 a -> Bool Source #
(RealFloat a, Epsilon a) => Epsilon (Quaternion a) Source #
Instance details Defined in Linear.Quaternion Methods nearZero :: Quaternion a -> Bool Source #
Epsilon a => Epsilon (Plucker a) Source #
Instance details Defined in Linear.Plucker Methods nearZero :: Plucker a -> Bool Source #
Epsilon (f a) => Epsilon (Point f a) Source #
Instance details Defined in Linear.Affine Methods nearZero :: Point f a -> Bool Source #
(Dim n, Epsilon a) => Epsilon (V n a) Source #
Instance details Defined in Linear.V Methods nearZero :: V n a -> Bool Source #