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Rational

Represents a rational number with infinite precision, using BigInteger for both numerator and denominator.

note

This type is identical to BigRational based to compiler flag BIG_RATIONAL. Replace this with LONG_RATIONAL to change implementation to LongRational.

public struct Rational

Inheritance Object → ValueType → Rational
Implements IComparable, IComparable<Rational>, IEquatable<Rational>, IToCodeString, IStableHashCode

Properties​

Zero​

public static Rational Zero { get; }

Property Value​

Rational

One​

public static Rational One { get; }

Property Value​

Rational

MinusOne​

public static Rational MinusOne { get; }

Property Value​

Rational

PlusInfinity​

public static Rational PlusInfinity { get; }

Property Value​

Rational

MinusInfinity​

public static Rational MinusInfinity { get; }

Property Value​

Rational

Sign​

public int Sign { get; }

Property Value​

Int32

Numerator​

public BigInteger Numerator { get; private set; }

Property Value​

BigInteger

Denominator​

public BigInteger Denominator { get; private set; }

Property Value​

BigInteger

IsFinite​

public bool IsFinite { get; }

Property Value​

Boolean

IsInfinite​

public bool IsInfinite { get; }

Property Value​

Boolean

IsPlusInfinite​

public bool IsPlusInfinite { get; }

Property Value​

Boolean

IsMinusInfinite​

public bool IsMinusInfinite { get; }

Property Value​

Boolean

IsZero​

public bool IsZero { get; }

Property Value​

Boolean

IsPositive​

public bool IsPositive { get; }

Property Value​

Boolean

IsNegative​

public bool IsNegative { get; }

Property Value​

Boolean

Constructors​

Rational(Int32, Int32)​

Rational(int numerator, int denominator)

Parameters​

numerator Int32

denominator Int32

Rational(Int64, Int64)​

Rational(long numerator, long denominator)

Parameters​

numerator Int64

denominator Int64

Rational(BigInteger)​

Rational(BigInteger numerator)

Parameters​

numerator BigInteger

Rational(Decimal)​

Rational(decimal value)

Parameters​

value Decimal

Rational(BigInteger, BigInteger)​

Rational(BigInteger numerator, BigInteger denominator)

Parameters​

numerator BigInteger

denominator BigInteger

Rational(BigInteger, BigInteger, BigInteger)​

Rational(BigInteger whole, BigInteger numerator, BigInteger denominator)

Parameters​

whole BigInteger

numerator BigInteger

denominator BigInteger

Methods​

GetWholePart()​

BigInteger GetWholePart()

Returns​

BigInteger

GetFractionPart()​

Rational GetFractionPart()

Returns​

Rational

Floor()​

BigInteger Floor()

Returns​

BigInteger

Ceil()​

BigInteger Ceil()

Returns​

BigInteger

FastFloor()​

int FastFloor()

Returns​

Int32

FastCeil()​

int FastCeil()

Returns​

Int32

Equals(Object)​

bool Equals(object obj)

Parameters​

obj Object

Returns​

Boolean

GetHashCode()​

int GetHashCode()

Returns​

Int32

GetStableHashCode()​

A stable hashcode.

int GetStableHashCode()

Returns​

Int32

CompareTo(Rational)​

int CompareTo(Rational other)

Parameters​

other Rational

Returns​

Int32

ToString()​

string ToString()

Returns​

String

ToCodeString(Boolean, Int32)​

Returns a string containing C# code to create this Rational. Useful to copy and paste from a debugger into another test or notebook for further investigation.

string ToCodeString(bool formatted, int indentation)

Parameters​

formatted Boolean

indentation Int32

Returns​

String

Equals(Rational)​

bool Equals(Rational other)

Parameters​

other Rational

Returns​

Boolean

Abs(Rational)​

Rational Abs(Rational r)

Parameters​

r Rational

Returns​

Rational

Negate(Rational)​

Rational Negate(Rational r)

Parameters​

r Rational

Returns​

Rational

Invert(Rational)​

Rational Invert(Rational r)

Parameters​

r Rational

Returns​

Rational

Add(Rational, Rational)​

Rational Add(Rational x, Rational y)

Parameters​

x Rational

y Rational

Returns​

Rational

Subtract(Rational, Rational)​

Rational Subtract(Rational x, Rational y)

Parameters​

x Rational

y Rational

Returns​

Rational

Multiply(Rational, Rational)​

Rational Multiply(Rational x, Rational y)

Parameters​

x Rational

y Rational

Returns​

Rational

Divide(Rational, Rational)​

Rational Divide(Rational dividend, Rational divisor)

Parameters​

dividend Rational

divisor Rational

Returns​

Rational

Remainder(Rational, Rational)​

Rational Remainder(Rational dividend, Rational divisor)

Parameters​

dividend Rational

divisor Rational

Returns​

Rational

DivRem(Rational, Rational, out Rational)​

Rational DivRem(Rational dividend, Rational divisor, out Rational remainder)

Parameters​

dividend Rational

divisor Rational

remainder out Rational

Returns​

Rational

Pow(Rational, BigInteger)​

Rational Pow(Rational baseValue, BigInteger exponent)

Parameters​

baseValue Rational

exponent BigInteger

Returns​

Rational

LeastCommonDenominator(Rational, Rational)​

BigInteger LeastCommonDenominator(Rational x, Rational y)

Parameters​

x Rational

y Rational

Returns​

BigInteger

GreatestCommonDivisor(Rational, Rational)​

Rational GreatestCommonDivisor(Rational a, Rational b)

Parameters​

a Rational

b Rational

Returns​

Rational

LeastCommonMultiple(Rational, Rational)​

Rational LeastCommonMultiple(Rational a, Rational b)

Parameters​

a Rational

b Rational

Returns​

Rational

Compare(Rational, Rational)​

int Compare(Rational r1, Rational r2)

Parameters​

r1 Rational

r2 Rational

Returns​

Int32

Max(Rational, Rational)​

Rational Max(Rational a, Rational b)

Parameters​

a Rational

b Rational

Returns​

Rational

Max(Rational, Rational, Rational)​

Rational Max(Rational a, Rational b, Rational c)

Parameters​

a Rational

b Rational

c Rational

Returns​

Rational

Min(Rational, Rational)​

Rational Min(Rational a, Rational b)

Parameters​

a Rational

b Rational

Returns​

Rational

Min(Rational, Rational, Rational)​

Rational Min(Rational a, Rational b, Rational c)

Parameters​

a Rational

b Rational

c Rational

Returns​

Rational