{-
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 a /Bailey-Borwein-Plouffe/ formula;
-}
module Factory.Math.Implementations.Pi.BBP.Series(
-- * Types
-- ** Data-types
Series(..)
) where
-- | Defines a series corresponding to a specific /BBP/-formula.
data Series = MkSeries {
numerators :: [Integer], -- ^ The constant numerators from which each term in the series is composed.
getDenominators :: Int -> [Integer], -- ^ Generates the term-dependent denominators from which each term in the series is composed.
seriesScalingFactor :: Rational, -- ^ The ratio by which the sum to infinity of the series, must be scaled to result in /Pi/.
base :: Integer -- ^ The geometric ratio, by which successive terms are scaled.
}