Point4d

References

[StructLayout(LayoutKind.Sequential, Pack = 8, Size = 32)] [DebuggerDisplay("({m_x}, {m_y}, {m_z}, [{m_w}])")] [Serializable] public struct Point4d : ISerializable, IEquatable<Point4d>, IEpsilonComparable<Point4d>, IFormattable

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.

Constructors

Point4d

#Since v5.0

public Point4d(double x, double y, double z, double w)

Initializes a new instance of the Point4d class based on coordinates.

Parameters:

x (double)	The X (first) dimension.
y (double)	The Y (second) dimension.
z (double)	The Z (third) dimension.
w (double)	The W (fourth) dimension, or weight.

Point4d

#Since v5.0

public Point4d(Point3d point)

Initializes a new instance of the Point4d class from the coordinates of a point.

Parameters:

point (Point3d)

Point4d

#Since v6.0

public Point4d(Point4d point)

Initializes a new point by copying coordinates from another point.

Parameters:

point (Point4d)

A point.

Properties

IsValid

#Since v6.0

public bool IsValid { get; }

Returns an indication regarding the validity of this point.

Unset

#Since v5.0

public static Point4d Unset { get; }

Gets the value of a point with all coordinates set as RhinoMath.UnsetValue.

W

#Since v5.0

public double W { get; set; }

Gets or sets the W (fourth) coordinate -or weight- of this point.

X

#Since v5.0

public double X { get; set; }

Gets or sets the X (first) coordinate of this point.

Y

#Since v5.0

public double Y { get; set; }

Gets or sets the Y (second) coordinate of this point.

Z

#Since v5.0

public double Z { get; set; }

Gets or sets the Z (third) coordinate of this point.

Methods

Add

#Since v5.0

public static Point4d Add(Point4d point1, Point4d point2)

Sums two Point4d together.

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

Parameters:

point1 (Point4d)	First point.
point2 (Point4d)	Second point.

Returns: A new point that results from the weighted addition of point1 and point2.

EpsilonEquals

#Since v5.4

[ConstOperation] public bool EpsilonEquals(Point4d other, double epsilon)

Check that all values in other are within epsilon of the values in this

Parameters:

other (Point4d)
epsilon (double)

Implements: EpsilonEquals

Equals

[ConstOperation] public override bool Equals(object obj)

Determines whether the specified System.Object is Point4d and has same coordinates as the present point.

Parameters:

obj (object)

The specified object.

Returns: true if obj is Point4d and has the same coordinates as this; otherwise false.

Overrides: ValueType.Equals

Equals

#Since v5.0

[ConstOperation] public bool Equals(Point4d point)

Determines whether the specified point has same value as the present point.

Parameters:

point (Point4d)

The specified point.

Returns: true if point has the same value as this; otherwise false.

GetHashCode

[ConstOperation] public override int GetHashCode()

Computes the hash code for the present point.

Returns: A non-unique hash code, which uses all coordinates of this object.

Overrides: ValueType.GetHashCode

Multiply

#Since v5.0

public static Point4d Multiply(Point4d point, double d)

Multiplies a point by a number.

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

Parameters:

point (Point4d)	A point.
d (double)	A number.

Returns: A new point that results from the coordinate-wise multiplication of point with d.

Subtract

#Since v5.0

public static Point4d Subtract(Point4d point1, Point4d point2)

Subtracts the second point from the first point.

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

Parameters:

point1 (Point4d)	First point.
point2 (Point4d)	Second point.

Returns: A new point that results from the weighted subtraction of point2 from point1.

Explicit

ISerializable.GetObjectData

[SecurityPermission(SecurityAction.LinkDemand, Flags = SecurityPermissionFlag.SerializationFormatter)] void ISerializable.GetObjectData(SerializationInfo info, StreamingContext context)

Parameters:

info (SerializationInfo)
context (StreamingContext)

ToString

[ConstOperation] public override string ToString()

Returns the fully qualified type name of this instance.

Returns: The fully qualified type name.

Overrides: ValueType.ToString

ToString

#Since v7.0

[ConstOperation] public string ToString(string format, IFormatProvider formatProvider)

Formats the value of the current instance using the specified format.

Parameters:

format (string)	The format to use. -or- A null reference (`Nothing` in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
formatProvider (IFormatProvider)	The provider to use to format the value. -or- A null reference (`Nothing` in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns: The value of the current instance in the specified format.

Transform

#Since v6.0

public void Transform(Transform xform)

Transforms the present point in place. The transformation matrix acts on the left of the point. i.e.,

result = transformation*point

Parameters:

xform (Transform)

Transformation to apply.

Operators

Operation			Result	Description
Point4d	+	Point4d	Point4d	Sums two Point4d together.
Point4d	==	Point4d	bool	Determines whether two Point4d have equal values.
Point4d	!=	Point4d	bool	Determines whether two Point4d have different values.
Point4d	*	Point4d	double	Multiplies two Point4d together, returning the dot (internal) product of the two. This is not the cross product.
Point4d	*	double	Point4d	Multiplies a point by a number.
Point4d	-	Point4d	Point4d	Subtracts the second point from the first point.