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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| Name | Description | |
|---|---|---|
 | Rational(Double) |
Creates a new Rational instance equal to a floating-point value.
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| Rational(Int32) |
Creates a new Rational instance with a denominator of 1.
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| Rational(Int32, Int32) |
Creates a new Rational instance.
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Properties| Name | Description | |
|---|---|---|
 | Denominator |
Gets the numerator of the current Rational value.
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| Numerator |
Gets the numerator of the current Rational value.
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| Value |
Gets the floating-point equivalent of the current Rational value.
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Methods| Name | Description | |
|---|---|---|
 | Abs |
Returns the absolute value of a Rational.
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| CompareTo(Object) |
Compares this instance to another Rational and returns an indication of their relative values.
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| CompareTo(Rational) |
Compares this instance to another Rational and returns an indication of their relative values.
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| DivRem |
Calculates the quotient of two rational numbers and also returns the remainder in an output parameter.
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| 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.
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| FromDecimal |
Converts a floating-point number to a rational number.
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| FromDouble |
Converts a floating-point number to a rational number.
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| FromDoubleWithMaxDenominator |
Converts a floating-point decimal to a rational number.
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| 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).
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| IsIndeterminate |
Returns a value that indicates whether the specified Rational represents an indeterminate value.
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| IsInfinity |
Returns a value that indicates whether the specified Rational evaluates to positive or negative infinity.
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| IsNegativeInfinity |
Returns a value that indicates whether the specified Rational evaluates to negative infinity.
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| IsPositiveInfinity |
Returns a value that indicates whether the specified Rational evaluates to positive infinity.
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| IsZero |
Returns a value that indicates whether the specified Rational evaluates to zero.
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| Max |
Returns the larger of two Rationals.
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| Min |
Returns the smaller of two Rationals.
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| Negate |
Gets the negated version of the current Rational value (that is, the current value multiplied by negative one).
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| Parse(String) |
Converts the string representation of a number to its Rational representation.
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| Parse(String, NumberStyles) |
Converts the string representation of a number to its Rational representation.
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| Parse(String, IFormatProvider) |
Converts the string representation of a number to its Rational representation.
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| Parse(String, NumberStyles, IFormatProvider) |
Converts the string representation of a number to its Rational representation.
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| Pow |
Returns a specified number raised to a specified power.
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| Round |
Rounds a Rational to the nearest integral value.
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| Simplify |
Gets the simplified version of the rational number.
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| Simplify(Int32, Int32) |
Gets the simplified version of the rational number.
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| Simplify(Int64, Int64) |
Gets the simplified version of the rational number.
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| StrictlyEquals |
Indicates whether this instance and a specified Rational are strictly equal; that is, the two instances must have equal numerators and denominators.
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| ToDouble |
Converts the current Rational to a double.
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| ToMixedString |
Converts the Rational to a string in the form of a mixed fraction.
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| ToMixedString(String) |
Converts the Rational to a string in the form of a mixed fraction.
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| 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.
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| ToString(String, IFormatProvider) |
Converts this instance to its equivalent string representation.
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| TryParse(String, 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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| 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.
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| 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.
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| 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| Name | Description | |
|---|---|---|
 | Addition |
Adds two Rational values.
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| Decrement |
Decrements a Rational value.
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| Division |
Divides two Rational values.
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| Equality |
Gets whether two Rational values are numerically equivalent.
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| (Decimal to Rational) |
Converts the specified Decimal to a Rational.
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| (Double to Rational) |
Converts the specified Double to a Rational.
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| (Single to Rational) |
Converts the specified Single to a Rational.
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| (Rational to Int32) |
Converts the specified Rational to a Int32.
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| (Rational to UInt32) |
Converts the specified Rational to a UInt32.
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| (Rational to Int16) |
Converts the specified Rational to a Int16.
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| (Rational to UInt16) |
Converts the specified Rational to a UInt16.
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| (Rational to Int64) |
Converts the specified Rational to a Int64.
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| (Rational to UInt64) |
Converts the specified Rational to a UInt64.
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| (Rational to SByte) |
Converts the specified Rational to a SByte.
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| (Rational to Byte) |
Converts the specified Rational to a Byte.
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| (Rational to Single) |
Converts the specified Rational to a Single.
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| (Rational to Double) |
Converts the specified Rational to a Double.
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| (Rational to Decimal) |
Converts the specified Rational to a Decimal.
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| GreaterThan |
Gets whether a Rational values is greater than another.
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| GreaterThanOrEqual |
Gets whether a Rational values is greater than or equal to another.
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| (Byte to Rational) |
Converts the specified Byte to a Rational.
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| (Int16 to Rational) |
Converts the specified Int16 to a Rational.
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| (Int32 to Rational) |
Converts the specified Int32 to a Rational.
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| (Int64 to Rational) |
Converts the specified Int64 to a Rational.
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| (SByte to Rational) |
Converts the specified SByte to a Rational.
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| (UInt16 to Rational) |
Converts the specified UInt16 to a Rational.
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| (UInt32 to Rational) |
Converts the specified UInt32 to a Rational.
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| (UInt64 to Rational) |
Converts the specified UInt64 to a Rational.
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| Increment |
Increments a Rational value.
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| Inequality |
Gets whether two Rational values are numerically not equivalent.
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| LessThan |
Gets whether a Rational values is less than another.
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| LessThanOrEqual |
Gets whether a Rational values is less than or equal to another.
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| Modulus |
Gets the remainder that results from dividing two Rational values.
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| Multiply |
Multiplies two Rational values.
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| Subtraction |
Subtracts two Rational values.
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| UnaryNegation |
Gets the negated version of a Rational value.
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| UnaryPlus |
Gets the Rational value.
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Fields| Name | Description | |
|---|---|---|
 | Epsilon |
Represents the minimum positive value of a Rational.
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| Indeterminate |
Represents an indeterminate value.
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| MaxValue |
Represents the maximum finite value of a Rational.
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| MinValue |
Represents the minimum finite value of a Rational.
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| NegativeInfinity |
Represents negative infinity.
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| One |
Represents the number one.
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| PositiveInfinity |
Represents positive infinity.
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| Zero |
Represents the number zero.
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Extension Methods| Name | Description | |
|---|---|---|
 | 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.) |
| To(Type) | Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) |
| ToT | Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) |
See Also