{-
Copyright (C) 2011 Dr. Alistair Ward
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see .
-}
{- |
[@AUTHOR@] Dr. Alistair Ward
[@DESCRIPTION@] Defines the set of /Borwein/-type algorithms (currently only one) which have been implemented; .
-}
module Factory.Math.Implementations.Pi.Borwein.Algorithm(
-- * Types
-- ** Data-types
Algorithm(..)
) where
import qualified Factory.Math.Factorial as Math.Factorial
import qualified Factory.Math.Implementations.Pi.Borwein.Borwein1993 as Math.Implementations.Pi.Borwein.Borwein1993
import qualified Factory.Math.Implementations.Pi.Borwein.Implementation as Math.Implementations.Pi.Borwein.Implementation
import qualified Factory.Math.Pi as Math.Pi
import qualified Factory.Math.SquareRoot as Math.SquareRoot
import qualified ToolShed.Defaultable
{- |
* Define those /Borwein/-series which have been implemented.
* Though currently there's only one, provision has been made for the addition of more.
-}
data Algorithm squareRootAlgorithm factorialAlgorithm =
Borwein1993 squareRootAlgorithm factorialAlgorithm -- ^ .
deriving (Eq, Read, Show)
instance (
ToolShed.Defaultable.Defaultable squareRootAlgorithm,
ToolShed.Defaultable.Defaultable factorialAlgorithm
) => ToolShed.Defaultable.Defaultable (Algorithm squareRootAlgorithm factorialAlgorithm) where
defaultValue = Borwein1993 ToolShed.Defaultable.defaultValue ToolShed.Defaultable.defaultValue
instance (
Math.SquareRoot.Algorithmic squareRootAlgorithm,
Math.Factorial.Algorithmic factorialAlgorithm
) => Math.Pi.Algorithmic (Algorithm squareRootAlgorithm factorialAlgorithm) where
openR (Borwein1993 squareRootAlgorithm factorialAlgorithm) = Math.Implementations.Pi.Borwein.Implementation.openR Math.Implementations.Pi.Borwein.Borwein1993.series squareRootAlgorithm factorialAlgorithm