  # Cartesian Structure

A set of rectilinear 3-dimensional coordinates.

Namespace:  AGI.Foundation.Coordinates
Assembly:  AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 19.5.402.0 (19.5.402.0) Syntax
`public struct Cartesian : IEquatable<Cartesian>`

The Cartesian type exposes the following members. Constructors
NameDescription Cartesian(Double)
Initializes a set of Cartesian coordinates from the first 3 consecutive elements in the provided array. 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(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.
Top Properties
NameDescription 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.
Top Methods
NameDescription 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(Object)
Indicates whether another object is exactly equal to this instance.
(Overrides ValueTypeEquals(Object).) Equals(Cartesian)
Indicates whether another instance of this type is exactly equal to this instance. 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.)
Top Operators
NameDescription  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(Double, Cartesian)
Multiplies a scalar by a specified set of set of Cartesian coordinates.  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.  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.
Top Remarks
The corresponding 2-dimensional coordinates are Rectangular coordinates. See Also