EgyptianFraction class

This class converts a Fraction or a MixedFraction type into its egyptian fraction representation. Only positive number are allowed.

An Egyptian fraction is a finite sum of distinct fractions where the numerator is always 1, the denominator is a positive number and all the denominators differ from each other. For example:

• 5/8 = 1/2 + 1/8 (where "1/2 + 1/8" is the egyptian fraction)

Basically, egyptian fractions are a sum of fractions in the form 1/x that represent a proper or an improper fraction. Here we have other examples of fractions and their egyptian fraction equivalent:

• 4/7 = 1/2 + 1/14
• 43/48 = 1/2 + 1/3 + 1/16
• 2014/59 = 34 + 1/8 + 1/95 + 1/14947 + 1/670223480

In various cases, the value of the denominator can be so big that an overflow error happens.

Implemented types

• Comparable<EgyptianFraction>

Constructors

EgyptianFraction({required Fraction fraction})

Creates an EgyptianFraction instance from a Fraction object.

const

EgyptianFraction.fromMixedFraction({required MixedFraction mixedFraction})

Creates an EgyptianFraction instance from a MixedFraction object.

Properties

fraction → Fraction

The fraction to be converted into an egyptian fraction.

final

hashCode → int

The hash code for this object.

no setter, override

runtimeType → Type

A representation of the runtime type of the object.

no setter, inherited

Methods

compareTo(EgyptianFraction other) → int

Compares this object to another object.

override

compute() → List<Fraction>

Returns a series of Fractions representing the egyptian fraction of the current fraction object.

noSuchMethod(Invocation invocation) → dynamic

Invoked when a nonexistent method or property is accessed.

inherited

toString() → String

A string representation of this object.

override

Operators

operator ==(Object other) → bool

The equality operator.

override