Factory.Math.Implementations.Pi.Ramanujan.Algorithm

AUTHOR

Dr. Alistair Ward

DESCRIPTION

Defines the set of Ramanujan-type algorithms which have been implemented; https://en.wikipedia.org/wiki/Pi.

Types

Data-types

data Algorithm squareRootAlgorithm factorialAlgorithm

Define those Ramanujan-series which have been implemented.

Constructors

Classic squareRootAlgorithm factorialAlgorithm

The original version.

Chudnovsky squareRootAlgorithm factorialAlgorithm

A variant found by the Chudnovsky brothers.

Instances

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

Defined in Factory.Math.Implementations.Pi.Ramanujan.Algorithm

Methods

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

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

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

Defined in Factory.Math.Implementations.Pi.Ramanujan.Algorithm

Methods

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

readList :: ReadS [Algorithm squareRootAlgorithm factorialAlgorithm]

readPrec :: ReadPrec (Algorithm squareRootAlgorithm factorialAlgorithm)

readListPrec :: ReadPrec [Algorithm squareRootAlgorithm factorialAlgorithm]

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

Defined in Factory.Math.Implementations.Pi.Ramanujan.Algorithm

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)

Defined in Factory.Math.Implementations.Pi.Ramanujan.Algorithm

Methods

def :: Algorithm squareRootAlgorithm factorialAlgorithm

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

Defined in Factory.Math.Implementations.Pi.Ramanujan.Algorithm

Methods

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

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

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