module Factory.Math.Implementations.Pi.BBP.Base65536(
series
) where
import qualified Factory.Math.Implementations.Pi.BBP.Series as Math.Implementations.Pi.BBP.Series
series :: Math.Implementations.Pi.BBP.Series.Series
series :: Series
series = MkSeries :: [Integer] -> (Int -> [Integer]) -> Rational -> Integer -> Series
Math.Implementations.Pi.BBP.Series.MkSeries {
numerators :: [Integer]
Math.Implementations.Pi.BBP.Series.numerators = ((Integer -> Integer) -> Integer -> Integer)
-> [Integer -> Integer] -> [Integer] -> [Integer]
forall a b c. (a -> b -> c) -> [a] -> [b] -> [c]
zipWith (Integer -> Integer) -> Integer -> Integer
forall a b. (a -> b) -> a -> b
($) ([Integer -> Integer] -> [Integer -> Integer]
forall a. [a] -> [a]
cycle [Integer -> Integer
forall a. a -> a
id, Integer -> Integer
forall a. a -> a
id, Integer -> Integer
forall a. a -> a
id, Integer -> Integer
forall a. Num a => a -> a
negate]) ([Integer] -> [Integer]) -> [Integer] -> [Integer]
forall a b. (a -> b) -> a -> b
$ (Integer -> Integer) -> [Integer] -> [Integer]
forall a b. (a -> b) -> [a] -> [b]
map (Integer
2 Integer -> Integer -> Integer
forall a b. (Num a, Integral b) => a -> b -> a
^) [Integer
15 :: Integer, Integer
14, Integer
14, Integer
12, Integer
11, Integer
10, Integer
10, Integer
8, Integer
7, Integer
6, Integer
6, Integer
4, Integer
3, Integer
2, Integer
2, Integer
0],
getDenominators :: Int -> [Integer]
Math.Implementations.Pi.BBP.Series.getDenominators = \Int
i -> (Integer -> Integer) -> [Integer] -> [Integer]
forall a b. (a -> b) -> [a] -> [b]
map (Integer
32 Integer -> Integer -> Integer
forall a. Num a => a -> a -> a
* Int -> Integer
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Integer -> Integer -> Integer
forall a. Num a => a -> a -> a
+) [Integer
2, Integer
3, Integer
4, Integer
7, Integer
10, Integer
11, Integer
12, Integer
15, Integer
18, Integer
19, Integer
20, Integer
23, Integer
26, Integer
27, Integer
28, Integer
31],
seriesScalingFactor :: Rational
Math.Implementations.Pi.BBP.Series.seriesScalingFactor = Rational -> Rational
forall a. Fractional a => a -> a
recip (Rational -> Rational) -> Rational -> Rational
forall a b. (a -> b) -> a -> b
$ Rational
2 Rational -> Int -> Rational
forall a b. (Num a, Integral b) => a -> b -> a
^ (Int
13 :: Int),
base :: Integer
Math.Implementations.Pi.BBP.Series.base = Integer
2 Integer -> Int -> Integer
forall a b. (Num a, Integral b) => a -> b -> a
^ (Int
16 :: Int)
}