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
	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 <http://www.gnu.org/licenses/>.
{- |
 [@AUTHOR@]	Dr. Alistair Ward

 [@DESCRIPTION@]	Defines the set of /Ramanujan/-type algorithms which have been implemented; <http://en.wikipedia.org/wiki/Pi>.

module Factory.Math.Implementations.Pi.Ramanujan.Algorithm(
-- * Types
-- ** Data-types
) where

import qualified	Factory.Math.Factorial						as Math.Factorial
import qualified	Factory.Math.Implementations.Pi.Ramanujan.Chudnovsky		as Math.Implementations.Pi.Ramanujan.Chudnovsky
import qualified	Factory.Math.Implementations.Pi.Ramanujan.Classic		as Math.Implementations.Pi.Ramanujan.Classic
import qualified	Factory.Math.Implementations.Pi.Ramanujan.Implementation	as Math.Implementations.Pi.Ramanujan.Implementation
import qualified	Factory.Math.Pi							as Math.Pi
import qualified	Factory.Math.SquareRoot						as Math.SquareRoot
import qualified	ToolShed.Defaultable

-- | Define those /Ramanujan/-series which have been implemented.
data Algorithm squareRootAlgorithm factorialAlgorithm	=
	Classic squareRootAlgorithm factorialAlgorithm		-- ^ The original version.
	| Chudnovsky squareRootAlgorithm factorialAlgorithm	-- ^ A variant found by the /Chudnovsky brothers/.
	deriving (Eq, Read, Show)

instance (
	ToolShed.Defaultable.Defaultable	squareRootAlgorithm,
	ToolShed.Defaultable.Defaultable	factorialAlgorithm
 ) => ToolShed.Defaultable.Defaultable (Algorithm squareRootAlgorithm factorialAlgorithm)	where
	defaultValue	= Chudnovsky ToolShed.Defaultable.defaultValue ToolShed.Defaultable.defaultValue

instance (
	Math.SquareRoot.Algorithmic	squareRootAlgorithm,
	Math.Factorial.Algorithmic	factorialAlgorithm
 ) => Math.Pi.Algorithmic (Algorithm squareRootAlgorithm factorialAlgorithm)	where
	openR (Classic squareRootAlgorithm factorialAlgorithm)		= Math.Implementations.Pi.Ramanujan.Implementation.openR Math.Implementations.Pi.Ramanujan.Classic.series squareRootAlgorithm factorialAlgorithm
	openR (Chudnovsky squareRootAlgorithm factorialAlgorithm)	= Math.Implementations.Pi.Ramanujan.Implementation.openR Math.Implementations.Pi.Ramanujan.Chudnovsky.series squareRootAlgorithm factorialAlgorithm