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

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

Minimal complete definition

Methods

Determine if a quantity is near zero.

Instances

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