Package org.apache.commons.math3.geometry.euclidean.oned

Class Vector1D

java.lang.Object
org.apache.commons.math3.geometry.euclidean.oned.Vector1D
All Implemented Interfaces:
Serializable, Point<Euclidean1D>, Vector<Euclidean1D>
public class Vector1D extends Object implements Vector<Euclidean1D>
This class represents a 1D vector.

Instances of this class are guaranteed to be immutable.

Since:
3.0
See Also:

  • 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>
      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>
      Returns:
      L1 norm for the vector

    • getNorm

      public double getNorm()
      Get the L2 norm for the vector.
      Specified by:
      getNorm in interface Vector<Euclidean1D>
      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>
      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>
      Returns:
      L∞ norm for the vector

    • add

      public Vector1D add(Vector<Euclidean1D> v)
      Add a vector to the instance.
      Specified by:
      add in interface Vector<Euclidean1D>
      Parameters:
      v - vector to add
      Returns:
      a new vector

    • add

      public Vector1D add(double factor, Vector<Euclidean1D> v)
      Add a scaled vector to the instance.
      Specified by:
      add in interface Vector<Euclidean1D>
      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> p)
      Subtract a vector from the instance.
      Specified by:
      subtract in interface Vector<Euclidean1D>
      Parameters:
      p - vector to subtract
      Returns:
      a new vector

    • subtract

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

    • normalize

      public Vector1D normalize() throws MathArithmeticException
      Get a normalized vector aligned with the instance.
      Specified by:
      normalize in interface Vector<Euclidean1D>
      Returns:
      a new normalized vector
      Throws:
      MathArithmeticException - if the norm is zero

    • negate

      public Vector1D negate()
      Get the opposite of the instance.
      Specified by:
      negate in interface Vector<Euclidean1D>
      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>
      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>
      Returns:
      true if any coordinate of this vector is infinite and none are NaN; false otherwise

    • distance1

      public double distance1(Vector<Euclidean1D> 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>
      Parameters:
      p - second vector
      Returns:
      the distance between the instance and p according to the L1 norm

    • distance

      @Deprecated public double distance(Vector<Euclidean1D> p)
      Deprecated.
      as of 3.3, replaced with distance(Point)
      Compute the distance between the instance and another vector according to the L2 norm.

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

      Specified by:
      distance in interface Vector<Euclidean1D>
      Parameters:
      p - second vector
      Returns:
      the distance between the instance and p according to the L2 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> 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>
      Parameters:
      p - second vector
      Returns:
      the distance between the instance and p according to the L∞ norm

    • distanceSq

      public double distanceSq(Vector<Euclidean1D> 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>
      Parameters:
      p - second vector
      Returns:
      the square of the distance between the instance and p

    • dotProduct

      public double dotProduct(Vector<Euclidean1D> v)
      Compute the dot-product of the instance and another vector.
      Specified by:
      dotProduct in interface Vector<Euclidean1D>
      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

    • 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>
      Parameters:
      format - the custom format for components
      Returns:
      a string representation of this vector