class Rational : public Moveable<Rational> 

A rational number based on an arbitrary precision integer type based on intInf.

Arbitrary precision means that the type is never out of bounds.

A rational number means that it is a fraction of a numerator and denominator.

The goal of this focus is to allow to handle almost infinite precision lossless floating numbers

This feature comes with a huge performance penalty.

Rational()

Class default constructor.

Rational(const Rational& v)

Copy constructor based on v..

template <typename T> Rational(T v)

Constructor based in v..

template <typename T> Rational(T n, T d)

Constructor based in numerator n and denominator d..

Rational(double n, double d)

Constructor based on double numerator n and denominator d.

Rational operator-() const

MInus sign.

bool operator<(const Rational& right) const

Logical lower than Rational right operator.

template <typename T> bool operator<(const T& right) const

Logical lower than right operator.

bool operator>(const Rational& right) const

Logical upper than  right operator.

template <typename T> bool operator>(const T& right) const

Logical upper than right operator.

template <typename T> const Rational& operator=(T v)

Assignment operator from v.

const Rational& operator=(double d)

Assignment operator from  d.

void operator++()

Operator increment

void operator--()

Operator decrement

void operator+=(const Rational& right)

Operator increment with right.

void operator-=(const Rational& right)

Operator decrement with right.

void operator*=(const Rational& right)

Operator multiply by right.

void operator/=(const Rational& right)

Operator divide between right.

bool operator==(Rational& right) const

Logical operator equal to right.

template <typename T> bool operator==(T right) const

Logical operator equal to  right.

bool operator!=(Rational& right) const

Logical operator different to  right .

template <typename T> bool operator!=(T right) const

Logical operator different to  right .

template <typename T> operator T()

Operator cast.

operator double()

Operator cast to double

Rational Simplify(bool full = false)

Simplify fraction. If full is set, it simplifies using all possible values.

This operation may be very slow

String ToString() const

Conversion to String.

Rational abs(const Rational &v)

Gets absolute value of v

Rational pow(const Rational &v, int e)

Gets rational v raised to integer e.

Rational sqrt(const Rational &v)

Approximate square root v.

String FormatRational(const Rational &d, int numDec)

Gets an String of rational d. numDec .indicates the floating point number of decimals. If numDec is Null, String is shown as a fraction.