Factory.Math.Implementations.Pi.AGM.Algorithm

AUTHOR

Dr. Alistair Ward

DESCRIPTION

Defines the set of Arithmetic-geometric Mean-type Pi-algorithms which have been implemented; currently just one.

Types

Data-types

newtype Algorithm squareRootAlgorithm

Defines the available algorithms.

Constructors

BrentSalamin squareRootAlgorithm

Instances

Eq squareRootAlgorithm => Eq (Algorithm squareRootAlgorithm)

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

Methods

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

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

Read squareRootAlgorithm => Read (Algorithm squareRootAlgorithm)

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

Methods

readsPrec :: Int -> ReadS (Algorithm squareRootAlgorithm)

readList :: ReadS [Algorithm squareRootAlgorithm]

readPrec :: ReadPrec (Algorithm squareRootAlgorithm)

readListPrec :: ReadPrec [Algorithm squareRootAlgorithm]

Show squareRootAlgorithm => Show (Algorithm squareRootAlgorithm)

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

Methods

showsPrec :: Int -> Algorithm squareRootAlgorithm -> ShowS

show :: Algorithm squareRootAlgorithm -> String

showList :: [Algorithm squareRootAlgorithm] -> ShowS

Default squareRootAlgorithm => Default (Algorithm squareRootAlgorithm)

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

Methods

def :: Algorithm squareRootAlgorithm

Algorithmic squareRootAlgorithm => Algorithmic (Algorithm squareRootAlgorithm)

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

Methods

openR :: Algorithm squareRootAlgorithm -> DecimalDigits -> Rational

openI :: Algorithm squareRootAlgorithm -> DecimalDigits -> Integer

openS :: Algorithm squareRootAlgorithm -> DecimalDigits -> String