Cartesian Structure

A set of rectilinear 3-dimensional coordinates.

Namespace: AGI.Foundation.Coordinates
Assembly: AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.3.420.0 (24.3.420.0)

Syntax

C++

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public struct Cartesian : IEquatable<Cartesian>, 
	IEquatableEpsilon<Cartesian>

Public Structure Cartesian
	Implements IEquatable(Of Cartesian), IEquatableEpsilon(Of Cartesian)

public value class Cartesian : IEquatable<Cartesian>, 
	IEquatableEpsilon<Cartesian>

[<SealedAttribute>]
type Cartesian =  
    struct
        interface IEquatable<Cartesian>
        interface IEquatableEpsilon<Cartesian>
    end

The Cartesian type exposes the following members.

Constructors

	Name	Description
	Cartesian(AzimuthElevationRange)	Initializes a set of Cartesian coordinates from the provided set of AzimuthElevationRange coordinates.
	Cartesian(Cylindrical)	Initializes a set of Cartesian coordinates from the provided set of Cylindrical coordinates.
	Cartesian(Double)	Initializes a set of Cartesian coordinates from the first 3 consecutive elements in the provided array.
	Cartesian(LongitudeLatitudeRadius)	Initializes a set of Cartesian coordinates from the provided set of LongitudeLatitudeRadius coordinates.
	Cartesian(Pyramidal)	Initializes a set of Cartesian coordinates from the provided set of Pyramidal coordinates.
	Cartesian(Spherical)	Initializes a set of Cartesian coordinates from the provided set of Spherical coordinates.
	Cartesian(Double, Int32)	Initializes a set of Cartesian coordinates from 3 consecutive elements in the provided array.
	Cartesian(Double, Double, Double)	Initializes a set of Cartesian coordinates from the provided values.

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Properties

	Name	Description
	HasZeroMagnitude	Gets a value indicating whether the Magnitude of this instance is zero.
	IsUndefined	Gets a value indicating whether or not any of the coordinates for this instance have the value NaN.
	Item	Gets the value of the specified element with index of 0, 1, and 2 corresponding to the coordinates X, Y, and Z.
	Length	Gets the number of elements in this set of coordinates.
	Magnitude	Gets the magnitude of this instance.
	MagnitudeSquared	Gets the square of the Magnitude of this instance.
	MostOrthogonalAxis	Gets the axis which is most orthogonal to this instance.
	MostParallelAxis	Gets the axis which is most parallel to this instance.
	Undefined	Gets a set of Cartesian coordinates with values of NaN.
	X	Gets the linear coordinate along the positive x-axis.
	Y	Gets the linear coordinate along the positive y-axis.
	Z	Gets the linear coordinate along the positive z-axis.
	Zero	Gets a set of Cartesian coordinates with values of zero.

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Methods

	Name	Description
	Add	Adds the specified set of Cartesian coordinates to this instance.
	ConvertMotion	Converts the motion given in terms of a set of LongitudeLatitudeRadius coordinates to motion of the corresponding set of Cartesian coordinates.
	Cross	Forms the cross product of the specified set of Cartesian coordinates with this instance.
	Divide	Divides this instance by a scalar.
	Dot	Forms the dot product of the specified set of Cartesian coordinates with this instance.
	Equals(Cartesian)	Indicates whether another instance of this type is exactly equal to this instance.
	Equals(Object)	Indicates whether another object is exactly equal to this instance. (Overrides ValueTypeEquals(Object).)
	EqualsEpsilon	Indicates whether each coordinate value of another instance of this type is within the required tolerance of the corresponding coordinate value of this instance.
	GetHashCode	Returns a hash code for this instance, which is suitable for use in hashing algorithms and data structures like a hash table. (Overrides ValueTypeGetHashCode.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Invert	Inverts this instance.
	Multiply(Double)	Multiplies this instance by a scalar.
	Multiply(Matrix3By3)	Multiplies this instance (treated as a row vector) by a Matrix3By3.
	Normalize	Forms a set of UnitCartesian coordinates from this instance.
	Normalize(Double)	Forms a set of UnitCartesian coordinates from this instance and returns the Magnitude of the original instance in the provided parameter.
	Rotate(ElementaryRotation)	Produces a set of Cartesian coordinates representing this instance which results from rotating the original axes used to represent this instance by the provided ElementaryRotation rotation. This type of rotation is sometimes referred to as an "alias rotation".
	Rotate(Matrix3By3)	Produces a set of Cartesian coordinates representing this instance which results from rotating the original axes used to represent this instance by the provided Matrix3By3 rotation. This type of rotation is sometimes referred to as an "alias rotation".
	Rotate(UnitQuaternion)	Produces a set of Cartesian coordinates representing this instance which results from rotating the original axes used to represent this instance by the provided UnitQuaternion rotation. This type of rotation is sometimes referred to as an "alias rotation".
	Subtract	Subtracts the specified set of Cartesian coordinates from this instance.
	ToString	Returns the string representation of the value of this instance. (Overrides ValueTypeToString.)

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Operators

	Name	Description
	Addition	Adds a specified set of Cartesian coordinates to another specified set of Cartesian coordinates.
	Division	Divides a specified set of Cartesian coordinates by a scalar.
	Equality	Returns if the two instances are exactly equal.
	(UnitCartesian to Cartesian)	Converts a set of UnitCartesian coordinates to a set of Cartesian coordinates.
	Inequality	Returns if the two instances are not exactly equal.
	Multiply(Cartesian, Matrix3By3)	Multiplies a specified set of Cartesian coordinates by a Matrix3By3.
	Multiply(Cartesian, Double)	Multiplies a specified set of Cartesian coordinates by a scalar.
	Multiply(Double, Cartesian)	Multiplies a scalar by a specified set of Cartesian coordinates.
	Subtraction	Subtracts a specified set of Cartesian coordinates from another specified set of Cartesian coordinates.
	UnaryNegation	Negates the specified set of Cartesian coordinates, yielding a new set of Cartesian coordinates.

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Remarks

The corresponding 2-dimensional coordinates are Rectangular coordinates.

Reference

AGI.Foundation.Coordinates Namespace