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-Inferred
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

Methods

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)