Class VectorNd

Multidimensional vector.

Inheritance

System.Object

VectorNd

Implements

IEquatable<VectorNd>

Namespace: Paramdigma.Core.Geometry

Assembly: Paramdigma.Core.dll

Syntax

public class VectorNd : IEnumerable<double>, IEquatable<VectorNd>

Constructors

VectorNd(List<Double>)

Initializes a new instance of the VectorNd class from a given list of coordinates.

Declaration

public VectorNd(List<double> values)

Parameters

Type	Name	Description
List<System.Double>	values	List of values for the vector.

VectorNd(VectorNd)

Initializes a new instance of the VectorNd class.

Declaration

public VectorNd(VectorNd vector)

Parameters

Type	Name	Description
VectorNd	vector	Vector to copy.

VectorNd(Double[])

Initializes a new instance of the VectorNd class from a given list of parameters.

Declaration

public VectorNd(params double[] values)

Parameters

Type	Name	Description
System.Double[]	values	Number parameters.

VectorNd(Int32)

Initializes a new instance of the VectorNd class. Constructs a zero vector of a given dimension.

Declaration

public VectorNd(int dimension)

Parameters

Type	Name	Description
System.Int32	dimension	Dimension.

Properties

Dimension

Gets the current dimension of the vector.

Declaration

public int Dimension { get; }

Property Value

Type	Description
System.Int32

Item[Int32]

Gets or sets the coordinate at the given dimension.

Declaration

public double this[int dimension] { get; set; }

Parameters

Type	Name	Description
System.Int32	dimension

Property Value

Type	Description
System.Double	The value of the specified dimension.

Length

Gets the length of the vector.

Declaration

public double Length { get; }

Property Value

Type	Description
System.Double

Length2

Gets the squared length of the vector.

Declaration

public double Length2 { get; }

Property Value

Type	Description
System.Double

Methods

Add(VectorNd, VectorNd)

Adds two N dimensional vectors.

Declaration

public static VectorNd Add(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
VectorNd	Vector addition result.

AngularDistance(VectorNd, VectorNd)

Computes the angular distance between two vectors.

Declaration

public static double AngularDistance(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
System.Double	Angular distance value.

AngularSimilarity(VectorNd, VectorNd)

Angular similarity value between two vectors.

Declaration

public static double AngularSimilarity(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
System.Double	Angular similarity value.

CosineSimilarity(VectorNd, VectorNd)

Computes the cosine similarity between two vectors.

Declaration

public static double CosineSimilarity(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
System.Double	Cosine similarity value.

Distance(VectorNd, VectorNd)

Computes the distance between two N-dimensional vectors.

Declaration

public static double Distance(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
System.Double	Distance between vectors.

Distance2(VectorNd, VectorNd)

Computes the square distance between two N-dimensional vectors.

Declaration

public static double Distance2(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
System.Double	Squared distance.

Divide(VectorNd, Double)

Divide an N dimensional vector by a number.

Declaration

public static VectorNd Divide(VectorNd vector, double scalar)

Parameters

Type	Name	Description
VectorNd	vector	Vector to divide.
System.Double	scalar	Number to divide by.

Returns

Type	Description
VectorNd	Vector division result.

Dot(VectorNd)

Gets the dot product of this vector with another.

Declaration

public double Dot(VectorNd vector)

Parameters

Type	Name	Description
VectorNd	vector	Vector to compute dot product with.

Returns

Type	Description
System.Double	Dot product result.

DotProduct(VectorNd, VectorNd)

Computes the dot product between two vectors.

Declaration

public static double DotProduct(VectorNd vectorA, VectorNd vectorB)

Parameters

Type	Name	Description
VectorNd	vectorA	Vector A.
VectorNd	vectorB	Vector B.

Returns

Type	Description
System.Double

Equals(VectorNd)

Compare this vector with another.

Declaration

public bool Equals(VectorNd vector)

Parameters

Type	Name	Description
VectorNd	vector	Vector to compare with.

Returns

Type	Description
System.Boolean	Comparison result.

Equals(Object)

Compare this vector with another object.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
System.Object	obj	Object to compare with.

Returns

Type	Description
System.Boolean	Comparison result.

GetEnumerator()

Declaration

public IEnumerator<double> GetEnumerator()

Returns

Type	Description
IEnumerator<System.Double>

GetHashCode()

Declaration

public override int GetHashCode()

Returns

Type	Description
System.Int32

Multiply(VectorNd, Double)

Multiply an N dimensional vector by a number.

Declaration

public static VectorNd Multiply(VectorNd vector, double scalar)

Parameters

Type	Name	Description
VectorNd	vector	Vector to multiply.
System.Double	scalar	Number to multiply by.

Returns

Type	Description
VectorNd	Vector multiplication result.

Negate(VectorNd)

Negate a given vector.

Declaration

public static VectorNd Negate(VectorNd vector)

Parameters

Type	Name	Description
VectorNd	vector	Vector to negate.

Returns

Type	Description
VectorNd	Vector negation result.

Substract(VectorNd, VectorNd)

Subtract two N dimensional vectors.

Declaration

public static VectorNd Substract(VectorNd a, VectorNd b)

Parameters

Type	Name	Description
VectorNd	a	Vector A.
VectorNd	b	Vector B.

Returns

Type	Description
VectorNd	Vector substraction result.

ToString()

Declaration

public override string ToString()

Returns

Type	Description
System.String

Operators

Addition(VectorNd, VectorNd)

Adds two vectors.

Declaration

public static VectorNd operator +(VectorNd vectorA, VectorNd vectorB)

Parameters

Type	Name	Description
VectorNd	vectorA	Vector A.
VectorNd	vectorB	Vector B.

Returns

Type	Description
VectorNd	Vector result of the addition.

Division(VectorNd, Double)

Divides a vector by a scalar number.

Declaration

public static VectorNd operator /(VectorNd vector, double scalar)

Parameters

Type	Name	Description
VectorNd	vector	Vector.
System.Double	scalar	Scalar.

Returns

Type	Description
VectorNd	Vector result of the division.

Multiply(VectorNd, Double)

Multiplies a vector by a scalar number.

Declaration

public static VectorNd operator *(VectorNd vector, double scalar)

Parameters

Type	Name	Description
VectorNd	vector	Vector.
System.Double	scalar	Scalar.

Returns

Type	Description
VectorNd	Vector result of the multiplication.

Subtraction(VectorNd, VectorNd)

Subtracts one vector from another.

Declaration

public static VectorNd operator -(VectorNd vectorA, VectorNd vectorB)

Parameters

Type	Name	Description
VectorNd	vectorA	Vector A
VectorNd	vectorB	Vector B

Returns

Type	Description
VectorNd	Vector result of the subtraction.

Implements

IEquatable<>