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

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

ContinuedFraction

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

HalleysMethod

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

NewtonRaphsonIteration

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

TaylorSeries Terms

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

Instances

Eq Algorithm

Read Algorithm

Show Algorithm

Defaultable Algorithm

Iterator Algorithm

Algorithmic Algorithm

Functions