# Class Vector1D

java.lang.Object
org.hipparchus.geometry.euclidean.oned.Vector1D
All Implemented Interfaces:
Serializable, Point<Euclidean1D>, Vector<Euclidean1D,Vector1D>, Blendable<Vector<Euclidean1D,Vector1D>>

public class Vector1D extends Object implements Vector<Euclidean1D,Vector1D>
This class represents a 1D vector.

Instances of this class are guaranteed to be immutable.

See Also:
• ## Field Summary

Fields
Modifier and Type
Field
Description
static final Vector1D
NaN
A vector with all coordinates set to NaN.
static final Vector1D
NEGATIVE_INFINITY
A vector with all coordinates set to negative infinity.
static final Vector1D
ONE
Unit (coordinates: 1).
static final Vector1D
POSITIVE_INFINITY
A vector with all coordinates set to positive infinity.
static final Vector1D
ZERO
Origin (coordinates: 0).
• ## Constructor Summary

Constructors
Constructor
Description
Vector1D(double x)
Simple constructor.
Vector1D(double a, Vector1D u)
Multiplicative constructor Build a vector from another one and a scale factor.
Vector1D(double a1, Vector1D u1, double a2, Vector1D u2)
Linear constructor Build a vector from two other ones and corresponding scale factors.
Vector1D(double a1, Vector1D u1, double a2, Vector1D u2, double a3, Vector1D u3)
Linear constructor Build a vector from three other ones and corresponding scale factors.
Vector1D(double a1, Vector1D u1, double a2, Vector1D u2, double a3, Vector1D u3, double a4, Vector1D u4)
Linear constructor Build a vector from four other ones and corresponding scale factors.
• ## Method Summary

Modifier and Type
Method
Description
Vector1D
add(double factor, Vector<Euclidean1D,Vector1D> v)
Add a scaled vector to the instance.
Vector1D
add(Vector<Euclidean1D,Vector1D> v)
Add a vector to the instance.
static double
distance(Vector1D p1, Vector1D p2)
Compute the distance between two vectors according to the L2 norm.
double
distance(Point<Euclidean1D> p)
Compute the distance between the instance and another point.
double
distance1(Vector<Euclidean1D,Vector1D> p)
Compute the distance between the instance and another vector according to the L1 norm.
static double
distanceInf(Vector1D p1, Vector1D p2)
Compute the distance between two vectors according to the L norm.
double
distanceInf(Vector<Euclidean1D,Vector1D> p)
Compute the distance between the instance and another vector according to the L norm.
static double
distanceSq(Vector1D p1, Vector1D p2)
Compute the square of the distance between two vectors.
double
distanceSq(Vector<Euclidean1D,Vector1D> p)
Compute the square of the distance between the instance and another vector.
double
dotProduct(Vector<Euclidean1D,Vector1D> v)
Compute the dot-product of the instance and another vector.
boolean
equals(Object other)
Test for the equality of two 1D vectors.
boolean
equalsIeee754(Object other)
Test for the equality of two 1D vectors.
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.
Space
getSpace()
Get the space to which the point belongs.
double
getX()
Get the abscissa of the vector.
Vector1D
getZero()
Get the null vector of the vectorial space or origin point of the affine space.
int
hashCode()
Get a hashCode for the 1D vector.
boolean
isInfinite()
Returns true if any coordinate of this vector is infinite and none are NaN; false otherwise
boolean
isNaN()
Returns true if any coordinate of this point is NaN; false otherwise
Vector1D
negate()
Get the opposite of the instance.
Vector1D
scalarMultiply(double a)
Multiply the instance by a scalar.
Vector1D
subtract(double factor, Vector<Euclidean1D,Vector1D> v)
Subtract a scaled vector from the instance.
Vector1D
subtract(Vector<Euclidean1D,Vector1D> p)
Subtract a vector from the instance.
String
toString()
Get a string representation of this vector.
String
toString(NumberFormat format)
Get a string representation of this vector.

### Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

### Methods inherited from interface org.hipparchus.geometry.Vector

blendArithmeticallyWith, normalize
• ## Field Details

• ### ZERO

public static final Vector1D ZERO
Origin (coordinates: 0).
• ### ONE

public static final Vector1D ONE
Unit (coordinates: 1).
• ### NaN

public static final Vector1D NaN
A vector with all coordinates set to NaN.
• ### POSITIVE_INFINITY

public static final Vector1D POSITIVE_INFINITY
A vector with all coordinates set to positive infinity.
• ### NEGATIVE_INFINITY

public static final Vector1D NEGATIVE_INFINITY
A vector with all coordinates set to negative infinity.
• ## Constructor Details

• ### Vector1D

public Vector1D(double x)
Simple constructor. Build a vector from its coordinates
Parameters:
x - abscissa
See Also:
• ### Vector1D

public Vector1D(double a, Vector1D u)
Multiplicative constructor Build a vector from another one and a scale factor. The vector built will be a * u
Parameters:
a - scale factor
u - base (unscaled) vector
• ### Vector1D

public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2)
Linear constructor Build a vector from two other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2
Parameters:
a1 - first scale factor
u1 - first base (unscaled) vector
a2 - second scale factor
u2 - second base (unscaled) vector
• ### Vector1D

public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2, double a3, Vector1D u3)
Linear constructor Build a vector from three other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3
Parameters:
a1 - first scale factor
u1 - first base (unscaled) vector
a2 - second scale factor
u2 - second base (unscaled) vector
a3 - third scale factor
u3 - third base (unscaled) vector
• ### Vector1D

public Vector1D(double a1, Vector1D u1, double a2, Vector1D u2, double a3, Vector1D u3, double a4, Vector1D u4)
Linear constructor Build a vector from four other ones and corresponding scale factors. The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4
Parameters:
a1 - first scale factor
u1 - first base (unscaled) vector
a2 - second scale factor
u2 - second base (unscaled) vector
a3 - third scale factor
u3 - third base (unscaled) vector
a4 - fourth scale factor
u4 - fourth base (unscaled) vector
• ## Method Details

• ### getX

public double getX()
Get the abscissa of the vector.
Returns:
abscissa of the vector
See Also:
• ### getSpace

public Space getSpace()
Get the space to which the point belongs.
Specified by:
getSpace in interface Point<Euclidean1D>
Returns:
containing space
• ### getZero

public Vector1D getZero()
Get the null vector of the vectorial space or origin point of the affine space.
Specified by:
getZero in interface Vector<Euclidean1D,Vector1D>
Returns:
null vector of the vectorial space or origin point of the affine space
• ### getNorm1

public double getNorm1()
Get the L1 norm for the vector.
Specified by:
getNorm1 in interface Vector<Euclidean1D,Vector1D>
Returns:
L1 norm for the vector
• ### getNorm

public double getNorm()
Get the L2 norm for the vector.
Specified by:
getNorm in interface Vector<Euclidean1D,Vector1D>
Returns:
Euclidean norm for the vector
• ### getNormSq

public double getNormSq()
Get the square of the norm for the vector.
Specified by:
getNormSq in interface Vector<Euclidean1D,Vector1D>
Returns:
square of the Euclidean norm for the vector
• ### getNormInf

public double getNormInf()
Get the L norm for the vector.
Specified by:
getNormInf in interface Vector<Euclidean1D,Vector1D>
Returns:
L norm for the vector
• ### add

Add a vector to the instance.
Specified by:
add in interface Vector<Euclidean1D,Vector1D>
Parameters:
v - vector to add
Returns:
a new vector
• ### add

public Vector1D add(double factor, Vector<Euclidean1D,Vector1D> v)
Add a scaled vector to the instance.
Specified by:
add in interface Vector<Euclidean1D,Vector1D>
Parameters:
factor - scale factor to apply to v before adding it
v - vector to add
Returns:
a new vector
• ### subtract

public Vector1D subtract(Vector<Euclidean1D,Vector1D> p)
Subtract a vector from the instance.
Specified by:
subtract in interface Vector<Euclidean1D,Vector1D>
Parameters:
p - vector to subtract
Returns:
a new vector
• ### subtract

public Vector1D subtract(double factor, Vector<Euclidean1D,Vector1D> v)
Subtract a scaled vector from the instance.
Specified by:
subtract in interface Vector<Euclidean1D,Vector1D>
Parameters:
factor - scale factor to apply to v before subtracting it
v - vector to subtract
Returns:
a new vector
• ### negate

public Vector1D negate()
Get the opposite of the instance.
Specified by:
negate in interface Vector<Euclidean1D,Vector1D>
Returns:
a new vector which is opposite to the instance
• ### scalarMultiply

public Vector1D scalarMultiply(double a)
Multiply the instance by a scalar.
Specified by:
scalarMultiply in interface Vector<Euclidean1D,Vector1D>
Parameters:
a - scalar
Returns:
a new vector
• ### isNaN

public boolean isNaN()
Returns true if any coordinate of this point is NaN; false otherwise
Specified by:
isNaN in interface Point<Euclidean1D>
Returns:
true if any coordinate of this point is NaN; false otherwise
• ### isInfinite

public boolean isInfinite()
Returns true if any coordinate of this vector is infinite and none are NaN; false otherwise
Specified by:
isInfinite in interface Vector<Euclidean1D,Vector1D>
Returns:
true if any coordinate of this vector is infinite and none are NaN; false otherwise
• ### distance1

public double distance1(Vector<Euclidean1D,Vector1D> p)
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

Specified by:
distance1 in interface Vector<Euclidean1D,Vector1D>
Parameters:
p - second vector
Returns:
the distance between the instance and p according to the L1 norm
• ### distance

public double distance(Point<Euclidean1D> p)
Compute the distance between the instance and another point.
Specified by:
distance in interface Point<Euclidean1D>
Parameters:
p - second point
Returns:
the distance between the instance and p
• ### distanceInf

public double distanceInf(Vector<Euclidean1D,Vector1D> p)
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

Specified by:
distanceInf in interface Vector<Euclidean1D,Vector1D>
Parameters:
p - second vector
Returns:
the distance between the instance and p according to the L norm
• ### distanceSq

public double distanceSq(Vector<Euclidean1D,Vector1D> p)
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

Specified by:
distanceSq in interface Vector<Euclidean1D,Vector1D>
Parameters:
p - second vector
Returns:
the square of the distance between the instance and p
• ### dotProduct

public double dotProduct(Vector<Euclidean1D,Vector1D> v)
Compute the dot-product of the instance and another vector.
Specified by:
dotProduct in interface Vector<Euclidean1D,Vector1D>
Parameters:
v - second vector
Returns:
the dot product this.v
• ### distance

public static double distance(Vector1D p1, Vector1D p2)
Compute the distance between two vectors according to the L2 norm.

Calling this method is equivalent to calling: p1.subtract(p2).getNorm() except that no intermediate vector is built

Parameters:
p1 - first vector
p2 - second vector
Returns:
the distance between p1 and p2 according to the L2 norm
• ### distanceInf

public static double distanceInf(Vector1D p1, Vector1D p2)
Compute the distance between two vectors according to the L norm.

Calling this method is equivalent to calling: p1.subtract(p2).getNormInf() except that no intermediate vector is built

Parameters:
p1 - first vector
p2 - second vector
Returns:
the distance between p1 and p2 according to the L norm
• ### distanceSq

public static double distanceSq(Vector1D p1, Vector1D p2)
Compute the square of the distance between two vectors.

Calling this method is equivalent to calling: p1.subtract(p2).getNormSq() except that no intermediate vector is built

Parameters:
p1 - first vector
p2 - second vector
Returns:
the square of the distance between p1 and p2
• ### equals

public boolean equals(Object other)
Test for the equality of two 1D vectors.

If all coordinates of two 1D vectors are exactly the same, and none are Double.NaN, the two 1D vectors are considered to be equal.

NaN coordinates are considered to affect globally the vector and be equals to each other - i.e, if either (or all) coordinates of the 1D vector are equal to Double.NaN, the 1D vector is equal to NaN.

Overrides:
equals in class Object
Parameters:
other - Object to test for equality to this
Returns:
true if two 1D vector objects are equal, false if object is null, not an instance of Vector1D, or not equal to this Vector1D instance
• ### equalsIeee754

public boolean equalsIeee754(Object other)
Test for the equality of two 1D vectors.

If all coordinates of two 1D vectors are exactly the same, and none are NaN, the two 1D vectors are considered to be equal.

In compliance with IEEE754 handling, if any coordinates of any of the two vectors are NaN, then the vectors are considered different. This implies that Vector1D.NaN.equals(Vector1D.NaN) returns false despite the instance is checked against itself.

Parameters:
other - Object to test for equality to this
Returns:
true if two 1D vector objects are equal, false if object is null, not an instance of Vector1D, or not equal to this Vector1D instance
Since:
2.1
• ### hashCode

public int hashCode()
Get a hashCode for the 1D vector.

All NaN values have the same hash code.

Overrides:
hashCode in class Object
Returns:
a hash code value for this object
• ### toString

public String toString()
Get a string representation of this vector.
Overrides:
toString in class Object
Returns:
a string representation of this vector
• ### toString

public String toString(NumberFormat format)
Get a string representation of this vector.
Specified by:
toString in interface Vector<Euclidean1D,Vector1D>
Parameters:
format - the custom format for components
Returns:
a string representation of this vector