IntervalT Structure

An interval numeric data type that is based on a floating-point type T. This type supports basic arithmetic operations (+, -, *, /) with correctly maintained interval bounds. Instead of representing a value as a single number, an interval represents each value as a range of possibilities that you can perform arithmetic on.

Inheritance Hierarchy

SystemObject
SystemValueType
Altaxo.CalcIntervalT

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)

Syntax

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public struct Interval<T> : IAdditionOperators<Interval<T>, Interval<T>, Interval<T>>, 
	ISubtractionOperators<Interval<T>, Interval<T>, Interval<T>>, IMultiplyOperators<Interval<T>, Interval<T>, Interval<T>>, 
	IDivisionOperators<Interval<T>, Interval<T>, Interval<T>>, IEqualityOperators<Interval<T>, Interval<T>, bool>, 
	IComparisonOperators<Interval<T>, Interval<T>, bool>, IEquatable<Interval<T>>, 
	IComparable<Interval<T>>, IComparable
where T : struct, new(), Object, IFloatingPoint<T>, IRootFunctions<T>, ITrigonometricFunctions<T>

Type Parameters

T: [Missing <typeparam name="T"/> documentation for "T:Altaxo.Calc.Interval`1"]

The IntervalT type exposes the following members.

Constructors

	Name	Description
	IntervalT	Initializes a new instance of the IntervalT struct.

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Properties

	Name	Description
	ArithmeticAverage	Gets the arithmetic average of this interval.
	InflateDown	Gets a function that inflates a value towards negative infinity (used to ensure a conservative lower bound).
	InflateUp	Gets a function that inflates a value towards positive infinity (used to ensure a conservative upper bound).
	Max	Represents the upper bound of this interval.
	Min	Represents the lower bound of this interval.
	One	Gets a value that represents the number one as a single-point interval, [1,1].
	Size	Gets the size of this interval, calculated as Max minus Min.
	Two	Gets a value that represents the number two as a single-point interval, [2,2].
	Zero	Gets a value that represents the number zero as a single-point interval, [0,0].

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Methods

	Name	Description
	Abs	Returns the absolute value interval.
	Add	Adds two intervals and returns the sum.
	Clone	Creates a copy of the specified interval.
	Combine	Combines two intervals that meet. This is similar to a union, but the intervals must meet.
	CompareTo(IntervalT)	Compares the current instance with another object of the same type and returns an integer that indicates whether the current instance precedes, follows, or occurs in the same position in the sort order as the other object.
	CompareTo(Object)	Compares the current instance with another object of the same type and returns an integer that indicates whether the current instance precedes, follows, or occurs in the same position in the sort order as the other object.
	Contains	Determines whether this interval contains the specified value.
	Divide	Divides two intervals and returns the quotient.
	Equals(IntervalT)	Indicates whether the current object is equal to another object of the same type.
	Equals(Object)	Indicates whether this instance and a specified object are equal. (Overrides ValueTypeEquals(Object))
	Equals(IntervalT, IntervalT)	Compares two values for equality.
	From(T)	Creates a single-point interval and inflates bounds conservatively.
	From(T, T)	Creates an interval with conservatively inflated bounds.
	FromExact(T)	Creates a single-point interval without inflating bounds.
	FromExact(T, T)	Creates an interval with exact bounds (no inflation).
	GetHashCode	Returns the hash code for this instance. (Overrides ValueTypeGetHashCode)
	GetInflatedBounds	Gets the inflated lower and upper bounds for a computed value.
	GetType	Gets the Type of the current instance. (Inherited from Object)
	IsDisjoint	Determines whether two intervals are disjoint. Two intervals are disjoint if no part of one interval is contained in the other.
	Maxx	Returns the interval that is considered the maximum when comparing bounds.
	Multiply	Multiplies two intervals and returns the product.
	Sqrt	Returns an interval that represents the square root of this interval.
	Subtract	Subtracts two intervals and returns the difference.
	ToString	Returns the fully qualified type name of this instance. (Overrides ValueTypeToString)
	ToString(String, IFormatProvider)	Returns a string that represents this instance.
	TryParse	Attempts to parse a string into an IntervalT.

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Operators

	Name	Description
	Addition(IntervalT, IntervalT)	Adds two intervals together and returns their sum.
	Division(IntervalT, IntervalT)	Divides two intervals and returns the quotient.
	Equality(IntervalT, IntervalT)	Compares two values to determine equality.
	GreaterThan(IntervalT, IntervalT)	Compares two values to determine which is greater.
	GreaterThanOrEqual(IntervalT, IntervalT)	Compares two values to determine which is greater or equal.
	(T to IntervalT)	Performs an implicit conversion from T to IntervalT.
	Inequality(IntervalT, IntervalT)	Compares two values to determine inequality.
	LessThan(IntervalT, IntervalT)	Compares two values to determine which is less.
	LessThanOrEqual(IntervalT, IntervalT)	Compares two values to determine which is less or equal.
	Multiply(IntervalT, IntervalT)	Multiplies two intervals and returns the product.
	Subtraction(IntervalT, IntervalT)	Subtracts two intervals and returns their difference.
	UnaryNegation(IntervalT)	Returns the negated interval.

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Reference

Altaxo.Calc Namespace