Copyright	2014 Edward Kmett Charles Durham 2015 Trevor L. McDonell
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell98

Data.Array.Accelerate.Linear.Epsilon

Description

Free metric spaces

Synopsis

Documentation

class Num a => Epsilon a where #

Provides a fairly subjective test to see if a quantity is near zero.

>>> nearZero (1e-11 :: Exp Double)
False

>>> nearZero (1e-17 :: Exp Double)
True

>>> nearZero (1e-5 :: Exp Float)
False

>>> nearZero (1e-7 :: Exp Float)
True

Minimal complete definition

Methods

Determine if a quantity is near zero.

Instances

Epsilon Double #	`abs` a `<=` 1e-12
Methods nearZero :: Exp Double -> Exp Bool #
Epsilon Float #	`abs` a `<=` 1e-6
Methods nearZero :: Exp Float -> Exp Bool #
Epsilon CDouble #	`abs` a `<=` 1e-12
Methods nearZero :: Exp CDouble -> Exp Bool #
Epsilon CFloat #	`abs` a `<=` 1e-6
Methods nearZero :: Exp CFloat -> Exp Bool #