﻿ Rational Structure

# Rational Structure

Rational number.

Namespace:  Accord.Math
Assembly:  Accord (in Accord.dll) Version: 3.8.0
Syntax
```[SerializableAttribute]
[TypeConverterAttribute(typeof(RationalConverter))]
public struct Rational : IComparable, IComparable<Rational>,
IEquatable<Rational>, IFormattable```

The Rational type exposes the following members.

Constructors
NameDescription
Rational(Double)
Creates a new Rational instance equal to a floating-point value.
Rational(Int32)
Creates a new Rational instance with a denominator of 1.
Rational(Int32, Int32)
Creates a new Rational instance.
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Properties
NameDescription
Denominator
Gets the numerator of the current Rational value.
Numerator
Gets the numerator of the current Rational value.
Value
Gets the floating-point equivalent of the current Rational value.
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Methods
NameDescription
Abs
Returns the absolute value of a Rational.
CompareTo(Object)
Compares this instance to another Rational and returns an indication of their relative values.
CompareTo(Rational)
Compares this instance to another Rational and returns an indication of their relative values.
DivRem
Calculates the quotient of two rational numbers and also returns the remainder in an output parameter.
Equals(Object)
Indicates whether this instance and a specified object are equal.
(Overrides ValueTypeEquals(Object).)
Equals(Rational)
Indicates whether this instance and a specified Rational are equal.
FromDecimal
Converts a floating-point number to a rational number.
FromDouble
Converts a floating-point number to a rational number.
FromDoubleWithMaxDenominator
Converts a floating-point decimal to a rational number.
GetHashCode
Returns the hash code for this instance.
(Overrides ValueTypeGetHashCode.)
GetType
Gets the Type of the current instance.
(Inherited from Object.)
Inverse
Gets the inverse of the current Rational value (that is, one divided by the current value).
IsIndeterminate
Returns a value that indicates whether the specified Rational represents an indeterminate value.
IsInfinity
Returns a value that indicates whether the specified Rational evaluates to positive or negative infinity.
IsNegativeInfinity
Returns a value that indicates whether the specified Rational evaluates to negative infinity.
IsPositiveInfinity
Returns a value that indicates whether the specified Rational evaluates to positive infinity.
IsZero
Returns a value that indicates whether the specified Rational evaluates to zero.
Max
Returns the larger of two Rationals.
Min
Returns the smaller of two Rationals.
Negate
Gets the negated version of the current Rational value (that is, the current value multiplied by negative one).
Parse(String)
Converts the string representation of a number to its Rational representation.
Parse(String, NumberStyles)
Converts the string representation of a number to its Rational representation.
Parse(String, IFormatProvider)
Converts the string representation of a number to its Rational representation.
Parse(String, NumberStyles, IFormatProvider)
Converts the string representation of a number to its Rational representation.
Pow
Returns a specified number raised to a specified power.
Round
Rounds a Rational to the nearest integral value.
Simplify
Gets the simplified version of the rational number.
Simplify(Int32, Int32)
Gets the simplified version of the rational number.
Simplify(Int64, Int64)
Gets the simplified version of the rational number.
StrictlyEquals
Indicates whether this instance and a specified Rational are strictly equal; that is, the two instances must have equal numerators and denominators.
ToDouble
Converts the current Rational to a double.
ToMixedString
Converts the Rational to a string in the form of a mixed fraction.
ToMixedString(String)
Converts the Rational to a string in the form of a mixed fraction.
ToString
Converts the Rational to a string in the form of an improper fraction.
(Overrides ValueTypeToString.)
ToString(IFormatProvider)
Converts this instance to its equivalent string representation.
ToString(String, IFormatProvider)
Converts this instance to its equivalent string representation.
TryParse(String, Rational)
Converts the string representation of a number to its Rational representation. A return value indicates whether the conversion succeeded or failed.
TryParse(String, NumberStyles, Rational)
Converts the string representation of a number to its Rational representation. A return value indicates whether the conversion succeeded or failed.
TryParse(String, IFormatProvider, Rational)
Converts the string representation of a number to its Rational representation. A return value indicates whether the conversion succeeded or failed.
TryParse(String, NumberStyles, IFormatProvider, Rational)
Converts the string representation of a number to its Rational representation. A return value indicates whether the conversion succeeded or failed.
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Operators
NameDescription
Decrement
Decrements a Rational value.
Division
Divides two Rational values.
Equality
Gets whether two Rational values are numerically equivalent.
(Decimal to Rational)
Converts the specified Decimal to a Rational.
(Double to Rational)
Converts the specified Double to a Rational.
(Single to Rational)
Converts the specified Single to a Rational.
(Rational to Int32)
Converts the specified Rational to a Int32.
(Rational to UInt32)
Converts the specified Rational to a UInt32.
(Rational to Int16)
Converts the specified Rational to a Int16.
(Rational to UInt16)
Converts the specified Rational to a UInt16.
(Rational to Int64)
Converts the specified Rational to a Int64.
(Rational to UInt64)
Converts the specified Rational to a UInt64.
(Rational to SByte)
Converts the specified Rational to a SByte.
(Rational to Byte)
Converts the specified Rational to a Byte.
(Rational to Single)
Converts the specified Rational to a Single.
(Rational to Double)
Converts the specified Rational to a Double.
(Rational to Decimal)
Converts the specified Rational to a Decimal.
GreaterThan
Gets whether a Rational values is greater than another.
GreaterThanOrEqual
Gets whether a Rational values is greater than or equal to another.
(Byte to Rational)
Converts the specified Byte to a Rational.
(Int16 to Rational)
Converts the specified Int16 to a Rational.
(Int32 to Rational)
Converts the specified Int32 to a Rational.
(Int64 to Rational)
Converts the specified Int64 to a Rational.
(SByte to Rational)
Converts the specified SByte to a Rational.
(UInt16 to Rational)
Converts the specified UInt16 to a Rational.
(UInt32 to Rational)
Converts the specified UInt32 to a Rational.
(UInt64 to Rational)
Converts the specified UInt64 to a Rational.
Increment
Increments a Rational value.
Inequality
Gets whether two Rational values are numerically not equivalent.
LessThan
Gets whether a Rational values is less than another.
LessThanOrEqual
Gets whether a Rational values is less than or equal to another.
Modulus
Gets the remainder that results from dividing two Rational values.
Multiply
Multiplies two Rational values.
Subtraction
Subtracts two Rational values.
UnaryNegation
Gets the negated version of a Rational value.
UnaryPlus
Gets the Rational value.
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Fields
NameDescription
Epsilon
Represents the minimum positive value of a Rational.
Indeterminate
Represents an indeterminate value.
MaxValue
Represents the maximum finite value of a Rational.
MinValue
Represents the minimum finite value of a Rational.
NegativeInfinity
Represents negative infinity.
One
Represents the number one.
PositiveInfinity
Represents positive infinity.
Zero
Represents the number zero.
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Extension Methods
NameDescription
HasMethod
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)
IsEqual
Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.
(Defined by Matrix.)