﻿Point4d Structure

# Point4d Structure

Represents the four coordinates of a point in four-dimensional space.

The W (fourth) dimension is often considered the weight of the point as seen in 3D space.

Namespace:  Rhino.Geometry
Assembly:  RhinoCommon (in RhinoCommon.dll)
Syntax
```[SerializableAttribute]
public struct Point4d : ISerializable, IEquatable<Point4d>,
IEpsilonComparable<Point4d>```

The Point4d type exposes the following members.

Constructors
NameDescription
Point4d(Point3d)
Initializes a new instance of the Point4d class from the coordinates of a point.
Point4d(Point4d)
Initializes a new point by copying coordinates from another point.
Point4d(Double, Double, Double, Double)
Initializes a new instance of the Point4d class based on coordinates.
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Properties
NameDescription
IsValid
Returns an indication regarding the validity of this point.
Unset
Gets the value of a point with all coordinates set as RhinoMath.UnsetValue.
W
Gets or sets the W (fourth) coordinate -or weight- of this point.
X
Gets or sets the X (first) coordinate of this point.
Y
Gets or sets the Y (second) coordinate of this point.
Z
Gets or sets the Z (third) coordinate of this point.
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Methods
NameDescription
Sums two Point4d together.

(Provided for languages that do not support operator overloading. You can use the + operator otherwise)

EpsilonEquals
Check that all values in other are within epsilon of the values in this
Equals(Object)
Determines whether the specified System.Object is Point4d and has same coordinates as the present point.
(Overrides ValueTypeEquals(Object).)
Equals(Point4d)
Determines whether the specified point has same value as the present point.
GetHashCode
Computes the hash code for the present point.
(Overrides ValueTypeGetHashCode.)
GetType (Inherited from Object.)
Multiply
Multiplies a point by a number.

(Provided for languages that do not support operator overloading. You can use the * operator otherwise)

Subtract
Subtracts the second point from the first point.

(Provided for languages that do not support operator overloading. You can use the - operator otherwise)

ToString (Inherited from ValueType.)
Transform
Transforms the present point in place. The transformation matrix acts on the left of the point. i.e.,

result = transformation*point

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Operators
NameDescription
Sums two Point4d together.
Equality
Determines whether two Point4d have equal values.
Inequality
Determines whether two Point4d have different values.
Multiply(Point4d, Point4d)
Multiplies two Point4d together, returning the dot (internal) product of the two. This is not the cross product.
Multiply(Point4d, Double)
Multiplies a point by a number.
Subtraction
Subtracts the second point from the first point.
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Version Information

#### Rhino for Mac

Supported in: 5.4

#### Rhino for Windows

Supported in: 6.4