Class Vector2D

A 2-dimensional mathematical vector represented by double-precision X and Y components.

Inheritance

Object

Vector2D

Implements

ICloneable

Inherited Members

Object.Equals(Object, Object)

Object.GetType()

Object.MemberwiseClone()

Object.ReferenceEquals(Object, Object)

Namespace: NetTopologySuite.Mathematics

Assembly: NetTopologySuite.dll

Syntax

public class Vector2D : ICloneable

Constructors

Vector2D()

Creates an new vector instance

Declaration

public Vector2D()

Vector2D(Coordinate)

Creates a vector from a Coordinate.

Declaration

public Vector2D(Coordinate v)

Parameters

Type	Name	Description
Coordinate	v	The coordinate

Vector2D(Coordinate, Coordinate)

Creates a new vector with the direction and magnitude of the difference between the to and from Coordinates.

Declaration

public Vector2D(Coordinate from, Coordinate to)

Parameters

Type	Name	Description
Coordinate	from	The origin coordinate
Coordinate	to	The destination coordinate

Vector2D(Vector2D)

Creates a new vector instance based on v.

Declaration

public Vector2D(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v	The vector

Vector2D(Double, Double)

Creates a new vector instance using the provided x and y ordinates

Declaration

public Vector2D(double x, double y)

Parameters

Type	Name	Description
Double	x	The x-ordinate value
Double	y	The y-ordinate value

Properties

Item[Int32]

Gets the ordinate values by index

Declaration

public double this[int index] { get; }

Parameters

Type	Name	Description
Int32	index	The index

Property Value

Type	Description
Double

Exceptions

Type	Condition
ArgumentOutOfRangeException	Thrown if index < 0 or > 1

X

Gets the x-ordinate value

Declaration

public double X { get; }

Property Value

Type	Description
Double

Y

Gets the y-ordinate value

Declaration

public double Y { get; }

Property Value

Type	Description
Double

Zero

Creates a new vector with all components set to Zero

Declaration

public static Vector2D Zero { get; }

Property Value

Type	Description
Vector2D

Methods

Add(Vector2D)

Adds v to this vector instance.

Declaration

public Vector2D Add(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v	The vector to add

Returns

Type	Description
Vector2D	The result vector

Angle()

Computes the angle this vector describes to the horizontal axis

Declaration

public double Angle()

Returns

Type	Description
Double	The angle

Angle(Vector2D)

Declaration

public double Angle(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v

Returns

Type	Description
Double

AngleTo(Vector2D)

Declaration

public double AngleTo(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v

Returns

Type	Description
Double

Average(Vector2D)

Declaration

public Vector2D Average(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v

Returns

Type	Description
Vector2D

Clone()

Creates a copy of this vector

Declaration

public object Clone()

Returns

Type	Description
Object	A copy of this vector

Create(Coordinate)

Creates a vector from a Coordinate.

Declaration

public static Vector2D Create(Coordinate coord)

Parameters

Type	Name	Description
Coordinate	coord	The coordinate to copy

Returns

Type	Description
Vector2D	A new vector

Create(Coordinate, Coordinate)

Creates a vector with the direction and magnitude of the difference between the to and from Coordinates.

Declaration

public static Vector2D Create(Coordinate from, Coordinate to)

Parameters

Type	Name	Description
Coordinate	from	The origin coordinate
Coordinate	to	The destination coordinate

Returns

Type	Description
Vector2D	A new vector

Create(Vector2D)

Creates a new vector from an existing one.

Declaration

public static Vector2D Create(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v	The vector to copy

Returns

Type	Description
Vector2D	A new vector

Create(Double, Double)

Creates a new vector with given X and Y components.

Declaration

public static Vector2D Create(double x, double y)

Parameters

Type	Name	Description
Double	x	The x component
Double	y	The y component

Returns

Type	Description
Vector2D	A new vector

Distance(Vector2D)

Computes the distance between this vector and another one.

Declaration

public double Distance(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v	A vector

Returns

Type	Description
Double	The distance between the vectors

Divide(Double)

Divides the vector by a scalar value.

Declaration

public Vector2D Divide(double d)

Parameters

Type	Name	Description
Double	d	The value to divide by

Returns

Type	Description
Vector2D	A new vector with the value v / d

Dot(Vector2D)

Computes the dot-product of two vectors

Declaration

public double Dot(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v	A vector

Returns

Type	Description
Double	The dot product of the vectors

Equals(Object)

Tests if a vector o has the same values for the x and y components.

Declaration

public override bool Equals(object o)

Parameters

Type	Name	Description
Object	o	A Vector2D with which to do the comparison.

Returns

Type	Description
Boolean	true if o is a Vector2Dwith the same values for the X and Y components.

Overrides

Object.Equals(Object)

GetHashCode()

Gets a hashcode for this vector.

Declaration

public override int GetHashCode()

Returns

Type	Description
Int32	A hashcode for this vector

Overrides

Object.GetHashCode()

IsParallel(Vector2D)

Declaration

public bool IsParallel(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v

Returns

Type	Description
Boolean

Length()

Declaration

public double Length()

Returns

Type	Description
Double

LengthSquared()

Declaration

public double LengthSquared()

Returns

Type	Description
Double

Multiply(Double)

Multiplies the vector by a scalar value.

Declaration

public Vector2D Multiply(double d)

Parameters

Type	Name	Description
Double	d	The value to multiply by

Returns

Type	Description
Vector2D	A new vector with the value v * d

Negate()

Negates this vector

Declaration

public Vector2D Negate()

Returns

Type	Description
Vector2D	A new vector with [-_x, -_y]

Normalize()

Normalizes the vector

Declaration

public Vector2D Normalize()

Returns

Type	Description
Vector2D	A new normalized vector

Rotate(Double)

Rotates this vector by angle

Declaration

public Vector2D Rotate(double angle)

Parameters

Type	Name	Description
Double	angle	The angle

Returns

Type	Description
Vector2D	The rotated vector

RotateByQuarterCircle(Int32)

Rotates a vector by a given number of quarter-circles (i.e. multiples of 90 degrees or Pi/2 radians). A positive number rotates counter-clockwise, a negative number rotates clockwise. Under this operation the magnitude of the vector and the absolute values of the ordinates do not change, only their sign and ordinate index.

Declaration

public Vector2D RotateByQuarterCircle(int numQuarters)

Parameters

Type	Name	Description
Int32	numQuarters	The number of quarter-circles to rotate by

Returns

Type	Description
Vector2D	The rotated vector.

Subtract(Vector2D)

Subtracts v from this vector instance

Declaration

public Vector2D Subtract(Vector2D v)

Parameters

Type	Name	Description
Vector2D	v	The vector to subtract

Returns

Type	Description
Vector2D	The result vector

ToCoordinate()

Gets a Coordinate from this vector

Declaration

public Coordinate ToCoordinate()

Returns

Type	Description
Coordinate	A coordinate

ToString()

Gets a string representation of this vector

Declaration

public override string ToString()

Returns

Type	Description
String	A string representing this vector

Overrides

Object.ToString()

Translate(Coordinate)

Gets a Coordinate made of this vector translated by coord.

Declaration

public Coordinate Translate(Coordinate coord)

Parameters

Type	Name	Description
Coordinate	coord	The translation coordinate

Returns

Type	Description
Coordinate	A coordinate

WeightedSum(Vector2D, Double)

Computes the weighted sum of this vector with another vector, with this vector contributing a fraction of frac to the total.

In other words,

sum = frac * this + (1 - frac) * v

Declaration

public Vector2D WeightedSum(Vector2D v, double frac)

Parameters

Type	Name	Description
Vector2D	v	The vector to sum
Double	frac	The fraction of the total contributed by this vector

Returns

Type	Description
Vector2D	The weighted sum of the two vectors

Operators

Addition(Vector2D, Vector2D)

Adds two vectors.

Declaration

public static Vector2D operator +(Vector2D left, Vector2D right)

Parameters

Type	Name	Description
Vector2D	left	The first vector to add.
Vector2D	right	The second vector to add.

Returns

Type	Description
Vector2D	The sum of the two vectors.

Division(Vector2D, Vector2D)

Scales a vector by the given value.

Declaration

public static Vector2D operator /(Vector2D value, Vector2D scale)

Parameters

Type	Name	Description
Vector2D	value	The vector to scale.
Vector2D	scale	The amount by which to scale the vector.

Returns

Type	Description
Vector2D	The scaled vector.

Division(Vector2D, Double)

Scales a vector by the given value.

Declaration

public static Vector2D operator /(Vector2D value, double scale)

Parameters

Type	Name	Description
Vector2D	value	The vector to scale.
Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Vector2D	The scaled vector.

Equality(Vector2D, Vector2D)

Tests for equality between two objects.

Declaration

public static bool operator ==(Vector2D left, Vector2D right)

Parameters

Type	Name	Description
Vector2D	left	The first value to compare.
Vector2D	right	The second value to compare.

Returns

Type	Description
Boolean	true if left has the same value as right; otherwise, false.

Inequality(Vector2D, Vector2D)

Tests for inequality between two objects.

Declaration

public static bool operator !=(Vector2D left, Vector2D right)

Parameters

Type	Name	Description
Vector2D	left	The first value to compare.
Vector2D	right	The second value to compare.

Returns

Type	Description
Boolean	true if left has a different value than right; otherwise, false.

Multiply(Vector2D, Vector2D)

Modulates a vector with another by performing component-wise multiplication"/>.

Declaration

public static Vector2D operator *(Vector2D left, Vector2D right)

Parameters

Type	Name	Description
Vector2D	left	The first vector to multiply.
Vector2D	right	The second vector to multiply.

Returns

Type	Description
Vector2D	The multiplication of the two vectors.

Multiply(Vector2D, Double)

Scales a vector by the given value.

Declaration

public static Vector2D operator *(Vector2D value, double scale)

Parameters

Type	Name	Description
Vector2D	value	The vector to scale.
Double	scale	The amount by which to scale the vector.

Returns

Type	Description
Vector2D	The scaled vector.

Multiply(Double, Vector2D)

Scales a vector by the given value.

Declaration

public static Vector2D operator *(double scale, Vector2D value)

Parameters

Type	Name	Description
Double	scale	The amount by which to scale the vector.
Vector2D	value	The vector to scale.

Returns

Type	Description
Vector2D	The scaled vector.

Subtraction(Vector2D, Vector2D)

Subtracts two vectors.

Declaration

public static Vector2D operator -(Vector2D left, Vector2D right)

Parameters

Type	Name	Description
Vector2D	left	The first vector to subtract.
Vector2D	right	The second vector to subtract.

Returns

Type	Description
Vector2D	The difference of the two vectors.

UnaryNegation(Vector2D)

Reverses the direction of a given vector.

Declaration

public static Vector2D operator -(Vector2D value)

Parameters

Type	Name	Description
Vector2D	value	The vector to negate.

Returns

Type	Description
Vector2D	A vector facing in the opposite direction.

Implements

System.ICloneable