Safe Haskell	None
Language	Haskell2010

Factory.Math.Implementations.SquareRoot

Contents

Types
- Type-synonyms
- Data-types
Functions

Description

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.

Synopsis

Types

Type-synonyms

type Terms = Int Source #

The number of terms in a series.

Data-types

data Algorithm Source #

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 Source #
Methods (==) :: Algorithm -> Algorithm -> Bool # (/=) :: Algorithm -> Algorithm -> Bool #
Read Algorithm Source #
Methods readsPrec :: Int -> ReadS Algorithm # readList :: ReadS [Algorithm] # readPrec :: ReadPrec Algorithm # readListPrec :: ReadPrec [Algorithm] #
Show Algorithm Source #
Methods showsPrec :: Int -> Algorithm -> ShowS # show :: Algorithm -> String # showList :: [Algorithm] -> ShowS #
Default Algorithm Source #
Methods def :: Algorithm #
Iterator Algorithm Source #
Methods step :: Real operand => Algorithm -> operand -> Result -> Result Source # convergenceOrder :: Algorithm -> ConvergenceOrder Source #
Algorithmic Algorithm Source #
Methods squareRootFrom :: (Real operand, Show operand) => Algorithm -> Estimate -> DecimalDigits -> operand -> Result Source # squareRoot :: (Real operand, Show operand) => Algorithm -> DecimalDigits -> operand -> Result Source #

Types

Type-synonyms

Data-types

Functions