Class SquareRootFraction

java.lang.Object
  SquareRootFraction

 class SquareRootFraction
extends Object

This class introduces all square roots of fractions (SRF) and features basic necessary operations with them. SquareRootFractions are numbers in form (n*√nSqrt)/d, where all n, nSqrt, and d are integers (nSqrt is a non-negative integer).

Since:

2014-04-01

Version:

1.0

Author:

Pavel Sikora

Field Summary

(package private) long	d denominator
(package private) long	n whole part of the numerator
(package private) long	nSqrt square-root-part of the numerator

Constructor Summary

SquareRootFraction(Fraction F)
Constructs a SquareRootFraction from a Fraction.

SquareRootFraction(long nn)
Constructs a SquareRootFraction from an integer.

SquareRootFraction(long nn, long dd)
Constructs a SquareRootFraction from its numerator and denominator.

Method Summary

(package private) Fraction	convertToFraction() Converts this SquareRootFraction to a Fraction if it indeed is a rational number.
(package private) SquareRootFraction	divide(SquareRootFraction d) Divides this SquareRootFraction by another SquareRootFraction.
(package private) boolean	isEqual(SquareRootFraction c) Checks if two SquareRootFractions are equal.
(package private) SquareRootFraction	multiply(SquareRootFraction f) Multiplies this SquareRootFraction by another SquareRootFraction.
(package private) Fraction	squared() Squares SquareRootFraction producing a simple fraction.
(package private) String	toTeX() Prints this SquareRootFraction formatted as TeX code.
(package private) String	toText() Prints this SquareRootFraction formatted as text.

Methods inherited from class

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

d

long d

denominator

n

long n

whole part of the numerator

nSqrt

long nSqrt

square-root-part of the numerator

Constructor Detail

SquareRootFraction

SquareRootFraction(Fraction F)

Constructs a SquareRootFraction from a Fraction. For example, SquareRootFraction(new Fraction(1,2)) yields √2/2.

Parameters:

F - fraction to be taken the square root of

Throws:

IllegalArgumentException - Throws an exception if the fraction is negative.

IllegalArgumentException - Throws an exception if the denominator would be zero.

SquareRootFraction

SquareRootFraction(long nn)

Constructs a SquareRootFraction from an integer. For example, SquareRootFraction(2) yields √2.

Parameters:

nn - integer to be taken a square root of

Throws:

IllegalArgumentException - Throws an exception if the number is negative.

SquareRootFraction

SquareRootFraction(long nn,
                   long dd)

Constructs a SquareRootFraction from its numerator and denominator. For example, SquareRootFraction(1,2) yields √2/2.

Parameters:

nn - nominator

dd - denominator

Throws:

IllegalArgumentException - Throws an exception if the fraction is negative.

IllegalArgumentException - Throws an exception if the denominator would be zero.

Method Detail

convertToFraction

Fraction convertToFraction()

Converts this SquareRootFraction to a Fraction if it indeed is a rational number.

Returns:

the SquareRootFraction re-typed to Fraction with preserved value

divide

SquareRootFraction divide(SquareRootFraction d)

Divides this SquareRootFraction by another SquareRootFraction.

Parameters:

d - divisor

isEqual

boolean isEqual(SquareRootFraction c)

Checks if two SquareRootFractions are equal.

Parameters:

c - comparand

Returns:

true if this SquareRootFraction is equal to the comparand, false otherwise

multiply

SquareRootFraction multiply(SquareRootFraction f)

Multiplies this SquareRootFraction by another SquareRootFraction.

Parameters:

f - factor

Returns:

the product

squared

Fraction squared()

Squares SquareRootFraction producing a simple fraction.

Returns:

the square of this SquareRootFraction

toTeX

String toTeX()

Prints this SquareRootFraction formatted as TeX code.

Returns:

TeX code for this SquareRootFraction; for example, -3*√2/7 yields -\frac{3\sqrt{2}}{7}

toText

String toText()

Prints this SquareRootFraction formatted as text.

Returns:

plain text description of this SquareRootFraction; for example, -3*√2/7 yields -3*sqrt(2)/7