Rational Class Reference

Rational class implements standard methods and data structures to manipulate Rational ratios arithmetically. More...

#include <Rational.h>

List of all members.

Public Member Functions
	Rational ()
	Default constructor.
	Rational (Integer i)
	Default constructor.
	Rational (Const Rational &x)
	Copy constructor.
	Rational (Real x)
	Construct Rational given a fractional value.
	Rational (Integer num, Integer den)
	Construct Rational given a rational fraction value.
	Rational (Real x, Integer &num, Integer &den)
	Construct Rational given a Real fractional value, determine its rational approximation, assign numerator and denominator to reference arguments.
	Rational (Rational x, Integer &num, Integer &den)
	Construct Rational given a Rational, determine its rational approximation, assign numerator and denominator to reference arguments.
Rational &	operator= (Const Rational &x)
	Rational assignment operator.
Bool	operator== (Const Rational &x) Const
	Rational equality operator.
Bool	operator!= (Const Rational &x) Const
	Rational inequality operator.
Bool	operator>= (Const Rational &x) Const
	Rational >= operator.
Bool	operator> (Const Rational &x) Const
	Rational > operator.
Bool	operator< (Const Rational &x) Const
	Rational < operator.
Bool	operator<= (Const Rational &x) Const
	Rational <= operator.
Rational &	operator+= (Const Real x)
	Rational plus-equals operator.
Rational &	operator+= (Rational x)
	Rational plus-equals operator.
Rational &	operator-= (Const Real x)
	Rational minus-equals operator.
Rational &	operator-= (Rational x)
	Rational minus-equals operator.
Rational &	operator*= (Const Real x)
	Rational times-equals operator.
Rational &	operator*= (Rational x)
	Rational times-equals operator.
Rational &	operator/= (Const Real x)
	Rational divide-equals operator.
Rational &	operator/= (Rational x)
	Rational divide-equals operator.
Rational	operator+ (Rational &x)
	Rational addition operator.
Rational	operator- (Rational &x)
	Rational subtraction operator.
Rational	operator* (Rational &x)
	Rational times operator.
Rational	operator/ (Rational &x)
	Rational divide operator.
Rational	operator+ (Const Real x)
	Rational add to Real operator.
Rational	operator- (Const Real x)
	Rational subtract from Real operator.
Rational	operator* (Const Real x)
	Rational multiply by Real operator.
Rational	operator/ (Const Real x)
	Rational divide by Real operator.
String	print (String s=0) Const
	Print Rational prefixed by String.
Protected Attributes
Integer	m_num
Integer	m_den
Static char	s_buf [128]
Friends
ostream &	operator<< (ostream &, Rational &)
istream &	operator>> (istream &is, Rational &p)
Bool	operator== (Integer &i, Rational &p)
Bool	operator== (Rational &p, Integer &i)
Bool	operator!= (Integer &i, Rational &p)
Bool	operator!= (Rational &p, Integer &i)
Bool	operator>= (Rational &p, Integer &r)
Bool	operator>= (Integer &i, Rational &p)
Bool	operator> (Rational &p, Integer &i)
Bool	operator> (Integer &i, Rational &p)
Bool	operator<= (Rational &p, Integer &i)
Bool	operator<= (Integer &i, Rational &p)
Bool	operator== (Real &r, Rational &p)
Bool	operator== (Rational &p, Real &r)
Bool	operator!= (Real &r, Rational &p)
Bool	operator!= (Rational &p, Real &r)
Bool	operator>= (Rational &p, Real &r)
Bool	operator>= (Real &r, Rational &p)
Bool	operator> (Rational &p, Real &r)
Bool	operator> (Real &r, Rational &p)
Bool	operator<= (Rational &p, Real &r)
Bool	operator<= (Real &r, Rational &p)

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Detailed Description

Rational class implements standard methods and data structures to manipulate Rational ratios arithmetically.

Definition at line 32 of file Rational.h.

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Constructor & Destructor Documentation

Rational::Rational

(

)

[inline]

Default constructor.

Definition at line 62 of file Rational.h.

Referenced by operator*(), operator+(), operator+=(), operator-(), and operator/().

: m_num(0), m_den(0) { }

Rational::Rational

(

Integer

i )

[inline]

Default constructor.

Definition at line 65 of file Rational.h.

: m_num(i), m_den(i) { }

Rational::Rational

(

Const Rational &

x )

[inline]

Copy constructor.

Definition at line 68 of file Rational.h.

: m_num(x.m_num), m_den(x.m_den) { }

Rational::Rational

(

Real

x )

[inline]

Construct Rational given a fractional value.

Parameters:

x	Rational fraction expressed as a Real

Definition at line 72 of file Rational.h.

References m_den, m_num, and RealToRational().

: m_num(0), m_den(0) { RealToRational( x, m_num, m_den ); }

Rational::Rational	(	Integer	num,
		Integer	den
	)		[inline]

Construct Rational given a rational fraction value.

Parameters:

num	Numerator of rational fraction
den	Denominator of rational fraction

Definition at line 77 of file Rational.h.

References If, and m_den.

                                           : m_num(num), m_den(den) {
                If (m_den == 0)
                        m_den = 1;
        }

Rational::Rational	(	Real	x,
		Integer &	num,
		Integer &	den
	)		[inline]

Construct Rational given a Real fractional value, determine its rational approximation, assign numerator and denominator to reference arguments.

Parameters:

x	Real fractional reference value
num	Reference Integer numerator of derived rational fraction approximation
den	Reference Integer denominator of derived rational fraction approximation

Definition at line 86 of file Rational.h.

References m_den, m_num, and RealToRational().

                                                     : m_num(0), m_den(0) { 
                RealToRational( x, num, den ); 
                m_num = num;
                m_den = den;
        }

Rational::Rational	(	Rational	x,
		Integer &	num,
		Integer &	den
	)		[inline]

Construct Rational given a Rational, determine its rational approximation, assign numerator and denominator to reference arguments.

Parameters:

x	Rational value
num	Reference Integer numerator of derived rational fraction approximation
den	Reference Integer denominator of derived rational fraction approximation

Definition at line 96 of file Rational.h.

References m_den, m_num, and RealToRational().

                                                         : m_num(0), m_den(0) { 
                RealToRational( x.quotient(), num, den ); 
                m_num = num;
                m_den = den;
        }

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Member Function Documentation

Bool Rational::operator!=

(

Const Rational &

x )

[inline]

Rational inequality operator.

Definition at line 115 of file Rational.h.

References m_den, m_num, and Return.

                                                 {
                Return m_num != x.m_num || m_den != x.m_den;
        }

Rational Rational::operator*

(

Rational &

x )

[inline]

Rational times operator.

Definition at line 190 of file Rational.h.

References Rational(), and Return.

                                        {
                Return( Rational(quotient() * x.quotient()) );
        }

Rational Rational::operator*

(

Const Real

x )

[inline]

Rational multiply by Real operator.

Definition at line 210 of file Rational.h.

References Rational(), and Return.

                                         {
                Return( Rational(quotient() * x) );
        }

Rational& Rational::operator*=

(

Const Real

x )

[inline]

Rational times-equals operator.

Definition at line 160 of file Rational.h.

References Return.

                                           {
                Return( *this = quotient() * x );
        }

Rational& Rational::operator*=

(

Rational

x )

[inline]

Rational times-equals operator.

Definition at line 165 of file Rational.h.

References Return.

                                         {
                Return( *this = quotient() * x.quotient() );
        }

Rational Rational::operator+

(

Rational &

x )

[inline]

Rational addition operator.

Definition at line 180 of file Rational.h.

References Rational(), and Return.

                                        {
                Return( Rational(quotient() + x.quotient()) );
        }

Rational Rational::operator+

(

Const Real

x )

[inline]

Rational add to Real operator.

Definition at line 200 of file Rational.h.

References Rational(), and Return.

                                         {
                Return( Rational(quotient() + x) );
        }

Rational& Rational::operator+=

(

Rational

x )

[inline]

Rational plus-equals operator.

Definition at line 145 of file Rational.h.

References Rational(), and Return.

                                         {
                Return( *this = Rational(quotient() + x.quotient() ) );
        }

Rational& Rational::operator+=

(

Const Real

x )

[inline]

Rational plus-equals operator.

Definition at line 140 of file Rational.h.

References Rational(), and Return.

                                           {
                Return( *this = Rational(quotient() + x) );
        }

Rational Rational::operator-

(

Rational &

x )

[inline]

Rational subtraction operator.

Definition at line 185 of file Rational.h.

References Rational(), and Return.

                                        {
                Return( Rational(quotient() - x.quotient()) );
        }

Rational Rational::operator-

(

Const Real

x )

[inline]

Rational subtract from Real operator.

Definition at line 205 of file Rational.h.

References Rational(), and Return.

                                         {
                Return( Rational(quotient() - x) );
        }

Rational& Rational::operator-=

(

Rational

x )

[inline]

Rational minus-equals operator.

Definition at line 155 of file Rational.h.

References Return.

                                         {
                Return( *this = quotient() - x.quotient() );
        }

Rational& Rational::operator-=

(

Const Real

x )

[inline]

Rational minus-equals operator.

Definition at line 150 of file Rational.h.

References Return.

                                           {
                Return( *this = quotient() - x );
        }

Rational Rational::operator/

(

Const Real

x )

[inline]

Rational divide by Real operator.

Definition at line 215 of file Rational.h.

References Rational(), and Return.

                                         {
                Return( Rational(quotient() / x ) );
        }

Rational Rational::operator/

(

Rational &

x )

[inline]

Rational divide operator.

Definition at line 195 of file Rational.h.

References Rational(), and Return.

                                        {
                Return( Rational(quotient() / x.quotient()) );
        }

Rational& Rational::operator/=

(

Rational

x )

[inline]

Rational divide-equals operator.

Definition at line 175 of file Rational.h.

References Return.

                                         {
                Return( *this = quotient() / x.quotient() );
        }

Rational& Rational::operator/=

(

Const Real

x )

[inline]

Rational divide-equals operator.

Definition at line 170 of file Rational.h.

References Return.

                                           {
                Return( *this = quotient() / x );
        }

Bool Rational::operator<

(

Const Rational &

x )

[inline]

Rational < operator.

Definition at line 130 of file Rational.h.

References Return.

                                                {
                Return quotient() < x.quotient();
        }

Bool Rational::operator<=

(

Const Rational &

x )

[inline]

Rational <= operator.

Definition at line 135 of file Rational.h.

References Return.

                                                 {
                Return quotient() <= x.quotient();
        }

Rational& Rational::operator=

(

Const Rational &

x )

[inline]

Rational assignment operator.

Definition at line 103 of file Rational.h.

References m_den, m_num, and Return.

                                               {
                m_num = x.m_num;
                m_den = x.m_den;
                Return *this;
        }

Bool Rational::operator==

(

Const Rational &

x )

[inline]

Rational equality operator.

Definition at line 110 of file Rational.h.

References And, m_den, m_num, and Return.

                                                 {
                Return m_num == x.m_num  And m_den == x.m_den;
        }

Bool Rational::operator>

(

Const Rational &

x )

[inline]

Rational > operator.

Definition at line 125 of file Rational.h.

References Return.

                                                {
                Return quotient() > x.quotient();
        }

Bool Rational::operator>=

(

Const Rational &

x )

[inline]

Rational >= operator.

Definition at line 120 of file Rational.h.

References Return.

                                                 {
                Return quotient() >= x.quotient();
        }

String Rational::print

(

String

s = 0 )

[inline]

Print Rational prefixed by String.

Parameters:

s	Prefix string

Definition at line 221 of file Rational.h.

References If, m_den, m_num, Return, and s_buf.

Referenced by operator<<().

                                         {
                If (s)
                        cout << s;
#ifdef _MSC_VER
// Disable Microsoft Visual Studio warning about sprintf()
// until is universal agreement about how to handle its insecurities
#pragma warning(push)
#pragma warning(disable: 4996)
                sprintf(s_buf, "{%d,%d}", m_num, m_den);
#pragma warning(pop)
#else
                sprintf(s_buf, "{%d,%d}", m_num, m_den);
#endif
                Return s_buf;
        }

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Friends And Related Function Documentation

Bool operator!=	(	Integer &	i,
		Rational &	p
	)		[friend]

Definition at line 39 of file Rational.h.

{ Return i != p.quotient(); }

Bool operator!=	(	Rational &	p,
		Real &	r
	)		[friend]

Definition at line 51 of file Rational.h.

{ Return p.quotient() != r; }

Bool operator!=	(	Rational &	p,
		Integer &	i
	)		[friend]

Definition at line 40 of file Rational.h.

{ Return p.quotient() != i; }

Bool operator!=	(	Real &	r,
		Rational &	p
	)		[friend]

Definition at line 50 of file Rational.h.

{ Return r != p.quotient(); }

ostream& operator<<	(	ostream &	os,
		Rational &	r
	)		[friend]

Definition at line 21 of file Rational.cpp.

{
        os << r.print();
        Return os;
}

Bool operator<=	(	Rational &	p,
		Integer &	i
	)		[friend]

Definition at line 45 of file Rational.h.

{ Return p.quotient() <= i; }

Bool operator<=	(	Rational &	p,
		Real &	r
	)		[friend]

Definition at line 56 of file Rational.h.

{ Return p.quotient() <= r; }

Bool operator<=	(	Real &	r,
		Rational &	p
	)		[friend]

Definition at line 57 of file Rational.h.

{ Return r <= p.quotient(); }

Bool operator<=	(	Integer &	i,
		Rational &	p
	)		[friend]

Definition at line 46 of file Rational.h.

{ Return i <= p.quotient(); }

Bool operator==	(	Rational &	p,
		Integer &	i
	)		[friend]

Definition at line 38 of file Rational.h.

{ Return p.quotient() == i; }

Bool operator==	(	Integer &	i,
		Rational &	p
	)		[friend]

Definition at line 37 of file Rational.h.

{ Return i == p.quotient(); }

Bool operator==	(	Real &	r,
		Rational &	p
	)		[friend]

Definition at line 48 of file Rational.h.

{ Return r == p.quotient(); }

Bool operator==	(	Rational &	p,
		Real &	r
	)		[friend]

Definition at line 49 of file Rational.h.

{ Return p.quotient() == r; }

Bool operator>	(	Rational &	p,
		Integer &	i
	)		[friend]

Definition at line 43 of file Rational.h.

{ Return p.quotient() > i; }

Bool operator>	(	Rational &	p,
		Real &	r
	)		[friend]

Definition at line 54 of file Rational.h.

{ Return p.quotient() > r; }

Bool operator>	(	Integer &	i,
		Rational &	p
	)		[friend]

Definition at line 44 of file Rational.h.

{ Return i > p.quotient(); }

Bool operator>	(	Real &	r,
		Rational &	p
	)		[friend]

Definition at line 55 of file Rational.h.

{ Return r > p.quotient(); }

Bool operator>=	(	Rational &	p,
		Integer &	r
	)		[friend]

Definition at line 41 of file Rational.h.

{ Return p.quotient() >= r; }

Bool operator>=	(	Rational &	p,
		Real &	r
	)		[friend]

Definition at line 52 of file Rational.h.

{ Return p.quotient() >= r; }

Bool operator>=	(	Integer &	i,
		Rational &	p
	)		[friend]

Definition at line 42 of file Rational.h.

{ Return i >= p.quotient(); }

Bool operator>=	(	Real &	r,
		Rational &	p
	)		[friend]

Definition at line 53 of file Rational.h.

{ Return r >= p.quotient(); }

istream& operator>>	(	istream &	is,
		Rational &	p
	)		[friend]

Definition at line 27 of file Rational.cpp.

{
        char ch;
        is >> ch && (ch == '{' || ch == '(')
                && is >> p.m_num >> ch && ch == ','
                && is >> p.m_den >> ch && (ch == '}' || ch == '(');
        Return is;
}

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Member Data Documentation

Integer Rational::m_den [protected]

Definition at line 244 of file Rational.h.

Referenced by operator!=(), operator=(), operator==(), operator>>(), print(), and Rational().

Integer Rational::m_num [protected]

Definition at line 243 of file Rational.h.

Referenced by operator!=(), operator=(), operator==(), operator>>(), print(), and Rational().

Character Rational::s_buf [protected]

Definition at line 245 of file Rational.h.

Referenced by print().

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The documentation for this class was generated from the following files:

• /Users/garethloy/Musimathics/Musimat1.2/include/Rational.h
• /Users/garethloy/Musimathics/Musimat1.2/MusimatLib/Rational.cpp