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

  Vector<S> add(Vector<S> v)

  Add a vector to the instance.

  Parameters:

  v - vector to add

  Returns:

  a new vector

• add

  Vector<S> add(double factor,
              Vector<S> v)

  Add a scaled vector to the instance.

  Parameters:

  factor - scale factor to apply to v before adding it

  v - vector to add

  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

• normalize

  Vector<S> normalize()
                                    throws MathArithmeticException

  Get a normalized vector aligned with the instance.

  Returns:

  a new normalized vector

  Throws:

  MathArithmeticException - if the norm is zero

• 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

• distance

  double distance(Vector<S> v)

  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

  Parameters:

  v - second vector

  Returns:

  the distance between the instance and p according to the L₂ 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