Interface Vector<S extends Space>

• Type Parameters:
S - Type of the space.
All Superinterfaces:
Point<S>, Serializable
All Known Implementing Classes:
Vector1D, Vector2D, Vector3D

public interface Vector<S extends Space>
extends Point<S>
This interface represents a generic vector in a vectorial space or a point in an affine space.
Space, Point
• Method Summary

All Methods
Modifier and Type Method Description
Add a scaled vector to the instance.
Add a vector to the instance.
double distance1​(Vector<S> v)
Compute the distance between the instance and another vector according to the L1 norm.
double distanceInf​(Vector<S> v)
Compute the distance between the instance and another vector according to the L norm.
double distanceSq​(Vector<S> v)
Compute the square of the distance between the instance and another vector.
double dotProduct​(Vector<S> v)
Compute the dot-product of the instance and another vector.
double getNorm()
Get the L2 norm for the vector.
double getNorm1()
Get the L1 norm for the vector.
double getNormInf()
Get the L norm for the vector.
double getNormSq()
Get the square of the norm for the vector.
Vector<S> getZero()
Get the null vector of the vectorial space or origin point of the affine space.
boolean isInfinite()
Returns true if any coordinate of this vector is infinite and none are NaN; false otherwise
Vector<S> negate()
Get the opposite of the instance.
Vector<S> normalize()
Get a normalized vector aligned with the instance.
Vector<S> scalarMultiply​(double a)
Multiply the instance by a scalar.
Vector<S> subtract​(double factor, Vector<S> v)
Subtract a scaled vector from the instance.
Vector<S> subtract​(Vector<S> v)
Subtract a vector from the instance.
String toString​(NumberFormat format)
Get a string representation of this vector.
• Method Detail

• getZero

Vector<S> getZero()
Get the null vector of the vectorial space or origin point of the affine space.
Returns:
null vector of the vectorial space or origin point of the affine space
• getNorm1

double getNorm1()
Get the L1 norm for the vector.
Returns:
L1 norm for the vector
• getNorm

double getNorm()
Get the L2 norm for the vector.
Returns:
Euclidean norm for the vector
• getNormSq

double getNormSq()
Get the square of the norm for the vector.
Returns:
square of the Euclidean norm for the vector
• getNormInf

double getNormInf()
Get the L norm for the vector.
Returns:
L norm for the vector

Add a vector to the instance.
Parameters:
Returns:
a new vector

Vector<S> v)
Add a scaled vector to the instance.
Parameters:
factor - scale factor to apply to v before adding it
Returns:
a new vector
• subtract

Vector<S> subtract​(Vector<S> v)
Subtract a vector from the instance.
Parameters:
v - vector to subtract
Returns:
a new vector
• subtract

Vector<S> subtract​(double factor,
Vector<S> v)
Subtract a scaled vector from the instance.
Parameters:
factor - scale factor to apply to v before subtracting it
v - vector to subtract
Returns:
a new vector
• negate

Vector<S> negate()
Get the opposite of the instance.
Returns:
a new vector which is opposite to the instance
• scalarMultiply

Vector<S> scalarMultiply​(double a)
Multiply the instance by a scalar.
Parameters:
a - scalar
Returns:
a new vector
• isInfinite

boolean isInfinite()
Returns true if any coordinate of this vector is infinite and none are NaN; false otherwise
Returns:
true if any coordinate of this vector is infinite and none are NaN; false otherwise
• distance1

double distance1​(Vector<S> v)
Compute the distance between the instance and another vector according to the L1 norm.

Calling this method is equivalent to calling: q.subtract(p).getNorm1() except that no intermediate vector is built

Parameters:
v - second vector
Returns:
the distance between the instance and p according to the L1 norm
• distanceInf

double distanceInf​(Vector<S> v)
Compute the distance between the instance and another vector according to the L norm.

Calling this method is equivalent to calling: q.subtract(p).getNormInf() except that no intermediate vector is built

Parameters:
v - second vector
Returns:
the distance between the instance and p according to the L norm
• distanceSq

double distanceSq​(Vector<S> v)
Compute the square of the distance between the instance and another vector.

Calling this method is equivalent to calling: q.subtract(p).getNormSq() except that no intermediate vector is built

Parameters:
v - second vector
Returns:
the square of the distance between the instance and p
• dotProduct

double dotProduct​(Vector<S> v)
Compute the dot-product of the instance and another vector.
Parameters:
v - second vector
Returns:
the dot product this.v
• toString

String toString​(NumberFormat format)
Get a string representation of this vector.
Parameters:
format - the custom format for components
Returns:
a string representation of this vector