Package org.opensourcephysics.numerics

Class VectorMath

java.lang.Object
org.opensourcephysics.numerics.VectorMath
public final class VectorMath extends Object
VectorMath is a utility class for vector math. Contains static methods for dot products, cross products, etc.
Version:
1.0
Author:
Wolfgang Christian

  • Method Summary

    Modifier and Type
    Method
    Description
    static double[]
    cross2D(double[] v, double b)
    Calculates the cross product of a double[2] vector in a plane and a vector perpendicular to that plane.
    static double
    cross2D(double[] a, double[] b)
    Calculate the cross product of two-component vectors.
    static final double[]
    cross3D(double[] v1, double[] v2)
    Calculates the vector cross product of double[3] vectors v1 and v2.
    static double
    dot(double[] a, double[] b)
    Calculate the dot product of two vectors.
    static double
    magnitude(double[] a)
    Calculates the magnitude a vector.
    static double
    magnitudeSquared(double[] a)
    Computes the magnitdue squared of this vector.
    static double[]
    normalize(double[] a)
     
    static double[]
    perp(double[] a, double[] b)
    Computes the part of the first vector that is perpendicular to the second vector.
    static double[]
    plus(double[] a, double[] b)
    Add two vectors.
    static double[]
    plus(double[] a, double[] b, double c)
    Add a vector times a scalar to a vector.
    static double[]
    project(double[] a, double[] b)
    Projects the first vector onto the second vector.

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Method Details

    • plus

      public static double[] plus(double[] a, double[] b, double c)
      Add a vector times a scalar to a vector. Elements in the first vector are modified and set equal to the sum.
      Parameters:
      a - the first vector
      b - the second vector
      c - the scalar multiplier
      Returns:
      double[] the first vector.

    • plus

      public static double[] plus(double[] a, double[] b)
      Add two vectors. Elements in the first vector are modified and set equal to the sum.
      Parameters:
      a - the first vector
      b - the second vector
      Returns:
      double[] the first vector.

    • normalize

      public static double[] normalize(double[] a)

    • dot

      public static double dot(double[] a, double[] b)
      Calculate the dot product of two vectors.
      Parameters:
      a - the first vector
      b - the second vector
      Returns:
      the dot product

    • project

      public static double[] project(double[] a, double[] b)
      Projects the first vector onto the second vector.
      Parameters:
      a - the first vector
      b - the second vector
      Returns:
      the projection

    • perp

      public static double[] perp(double[] a, double[] b)
      Computes the part of the first vector that is perpendicular to the second vector.
      Parameters:
      a - the first vector
      b - the second vector
      Returns:
      the perpendicular part

    • magnitudeSquared

      public static double magnitudeSquared(double[] a)
      Computes the magnitdue squared of this vector. The magnitude squared is dot product of a vector with itself.
      Parameters:
      a - the vector
      Returns:
      the magnitude squared

    • magnitude

      public static double magnitude(double[] a)
      Calculates the magnitude a vector.
      Parameters:
      a - the vector
      Returns:
      the magnitude

    • cross3D

      public static final double[] cross3D(double[] v1, double[] v2)
      Calculates the vector cross product of double[3] vectors v1 and v2.
      Parameters:
      v1 - the first vector
      v2 - the second vector
      Returns:
      double[] the 3D cross product

    • cross2D

      public static double[] cross2D(double[] v, double b)
      Calculates the cross product of a double[2] vector in a plane and a vector perpendicular to that plane. Elements in the given vector are modified. The resulting vector componets are in the basis set of the given vector.
      Parameters:
      v - the vector in the plane
      b - the vector perpendicular to the plane
      Returns:
      the cropss product

    • cross2D

      public static double cross2D(double[] a, double[] b)
      Calculate the cross product of two-component vectors. The result is the component perpendicular to the plane.
      Parameters:
      a - the first vector
      b - the second vector
      Returns:
      the cross product.