Factory.Math.Implementations.Pi.Borwein.Algorithm

AUTHOR

Dr. Alistair Ward

DESCRIPTION

Defines the set of Borwein-type algorithms (currently only one) which have been implemented; http://www.pi314.net/eng/borwein.php.

Types

Data-types

data Algorithm squareRootAlgorithm factorialAlgorithm

• Define those Borwein-series which have been implemented.
• Though currently there's only one, provision has been made for the addition of more.

Constructors

Borwein1993 squareRootAlgorithm factorialAlgorithm

https://en.wikipedia.org/wiki/Borwein%27s_algorithm.

Instances

(Eq factorialAlgorithm, Eq squareRootAlgorithm) => Eq (Algorithm squareRootAlgorithm factorialAlgorithm)

Methods

(==) :: Algorithm squareRootAlgorithm factorialAlgorithm -> Algorithm squareRootAlgorithm factorialAlgorithm -> Bool

(/=) :: Algorithm squareRootAlgorithm factorialAlgorithm -> Algorithm squareRootAlgorithm factorialAlgorithm -> Bool

(Read factorialAlgorithm, Read squareRootAlgorithm) => Read (Algorithm squareRootAlgorithm factorialAlgorithm)

Methods

readsPrec :: Int -> ReadS (Algorithm squareRootAlgorithm factorialAlgorithm)

readList :: ReadS [Algorithm squareRootAlgorithm factorialAlgorithm]

readPrec :: ReadPrec (Algorithm squareRootAlgorithm factorialAlgorithm)

readListPrec :: ReadPrec [Algorithm squareRootAlgorithm factorialAlgorithm]

(Show factorialAlgorithm, Show squareRootAlgorithm) => Show (Algorithm squareRootAlgorithm factorialAlgorithm)

Methods

showsPrec :: Int -> Algorithm squareRootAlgorithm factorialAlgorithm -> ShowS

show :: Algorithm squareRootAlgorithm factorialAlgorithm -> String

showList :: [Algorithm squareRootAlgorithm factorialAlgorithm] -> ShowS

(Default squareRootAlgorithm, Default factorialAlgorithm) => Default (Algorithm squareRootAlgorithm factorialAlgorithm)

Methods

def :: Algorithm squareRootAlgorithm factorialAlgorithm

(Algorithmic squareRootAlgorithm, Algorithmic factorialAlgorithm) => Algorithmic (Algorithm squareRootAlgorithm factorialAlgorithm)

Methods

openR :: Algorithm squareRootAlgorithm factorialAlgorithm -> DecimalDigits -> Rational

openI :: Algorithm squareRootAlgorithm factorialAlgorithm -> DecimalDigits -> Integer

openS :: Algorithm squareRootAlgorithm factorialAlgorithm -> DecimalDigits -> String