Factory.Math.Implementations.SquareRoot

AUTHOR

Dr. Alistair Ward

DESCRIPTION

Implements Algorithmic by a variety of methods.

CAVEAT

Caller may benefit from application of simplify before operating on the result; which though of the required accuracy, may not be the most concise rational number satisfying that criterion.

Types

Type-synonyms

type Terms = Int

The number of terms in a series.

Data-types

data Algorithm

The algorithms by which the square-root has been implemented.

Constructors

BakhshaliApproximation

https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Bakhshali_approximation

ContinuedFraction

https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Continued_fraction_expansion.

HalleysMethod

https://en.wikipedia.org/wiki/Halley%27s_method.

NewtonRaphsonIteration

https://en.wikipedia.org/wiki/Newton%27s_method.

TaylorSeries Terms

https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Taylor_series.

Instances

Eq Algorithm

Defined in Factory.Math.Implementations.SquareRoot

Methods

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

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

Read Algorithm

Defined in Factory.Math.Implementations.SquareRoot

Methods

readsPrec :: Int -> ReadS Algorithm

readList :: ReadS [Algorithm]

readPrec :: ReadPrec Algorithm

readListPrec :: ReadPrec [Algorithm]

Show Algorithm

Defined in Factory.Math.Implementations.SquareRoot

Methods

showsPrec :: Int -> Algorithm -> ShowS

show :: Algorithm -> String

showList :: [Algorithm] -> ShowS

Default Algorithm

Defined in Factory.Math.Implementations.SquareRoot

Methods

def :: Algorithm

Iterator Algorithm

Defined in Factory.Math.Implementations.SquareRoot

Methods

step :: Real operand => Algorithm -> operand -> Result -> Result

convergenceOrder :: Algorithm -> ConvergenceOrder

Algorithmic Algorithm

Defined in Factory.Math.Implementations.SquareRoot

Methods

squareRootFrom :: (Real operand, Show operand) => Algorithm -> Estimate -> DecimalDigits -> operand -> Result

squareRoot :: (Real operand, Show operand) => Algorithm -> DecimalDigits -> operand -> Result

Functions