Package org.apache.commons.math.geometry

Examples of org.apache.commons.math.geometry.Vector3D

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      assertEquals(Vector3D.distance(v1, v2) * Vector3D.distance(v1, v2),
                   Vector3D.distanceSq(v1, v2), 1.0e-12);
  }

  public void testDistanceInf() {
      Vector3D v1 = new Vector3D(1, -2, 3);
      Vector3D v2 = new Vector3D(-4, 2, 0);
      assertEquals(0.0, Vector3D.distanceInf(Vector3D.MINUS_I, Vector3D.MINUS_I), 0);
      assertEquals(5.0, Vector3D.distanceInf(v1, v2), 1.0e-12);
      assertEquals(v1.subtract(v2).getNormInf(), Vector3D.distanceInf(v1, v2), 1.0e-12);
  }
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      assertEquals(v1.subtract(v2).getNormInf(), Vector3D.distanceInf(v1, v2), 1.0e-12);
  }

  public void testSubtract() {

    Vector3D v1 = new Vector3D(1, 2, 3);
    Vector3D v2 = new Vector3D(-3, -2, -1);
    v1 = v1.subtract(v2);
    checkVector(v1, 4, 4, 4);

    checkVector(v2.subtract(v1), -7, -6, -5);
    checkVector(v2.subtract(3, v1), -15, -14, -13);

  }
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    checkVector(v2.subtract(3, v1), -15, -14, -13);

  }

  public void testAdd() {
    Vector3D v1 = new Vector3D(1, 2, 3);
    Vector3D v2 = new Vector3D(-3, -2, -1);
    v1 = v1.add(v2);
    checkVector(v1, -2, 0, 2);

    checkVector(v2.add(v1), -5, -2, 1);
    checkVector(v2.add(3, v1), -9, -2, 5);

  }
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    checkVector(v2.add(3, v1), -9, -2, 5);

  }

  public void testScalarProduct() {
    Vector3D v = new Vector3D(1, 2, 3);
    v = v.scalarMultiply(3);
    checkVector(v, 3, 6, 9);

    checkVector(v.scalarMultiply(0.5), 1.5, 3, 4.5);

  }
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    checkVector(v.scalarMultiply(0.5), 1.5, 3, 4.5);

  }

  public void testVectorialProducts() {
    Vector3D v1 = new Vector3D(2, 1, -4);
    Vector3D v2 = new Vector3D(3, 1, -1);

    assertTrue(Math.abs(Vector3D.dotProduct(v1, v2) - 11) < 1.0e-12);

    Vector3D v3 = Vector3D.crossProduct(v1, v2);
    checkVector(v3, 3, -10, -1);

    assertTrue(Math.abs(Vector3D.dotProduct(v1, v3)) < 1.0e-12);
    assertTrue(Math.abs(Vector3D.dotProduct(v2, v3)) < 1.0e-12);
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    assertEquals(Math.PI / 2, Vector3D.PLUS_J.getAlpha(), 1.0e-10);
    assertEquals(0,           Vector3D.PLUS_J.getDelta(), 1.0e-10);
    assertEquals(0,           Vector3D.PLUS_K.getAlpha(), 1.0e-10);
    assertEquals(Math.PI / 2, Vector3D.PLUS_K.getDelta(), 1.0e-10);

    Vector3D u = new Vector3D(-1, 1, -1);
    assertEquals(3 * Math.PI /4, u.getAlpha(), 1.0e-10);
    assertEquals(-1.0 / Math.sqrt(3), Math.sin(u.getDelta()), 1.0e-10);

  }
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    assertEquals(-1.0 / Math.sqrt(3), Math.sin(u.getDelta()), 1.0e-10);

  }

  public void testAngularSeparation() {
    Vector3D v1 = new Vector3D(2, -1, 4);

    Vector3D  k = v1.normalize();
    Vector3D  i = k.orthogonal();
    Vector3D v2 = k.scalarMultiply(Math.cos(1.2)).add(i.scalarMultiply(Math.sin(1.2)));

    assertTrue(Math.abs(Vector3D.angle(v1, v2) - 1.2) < 1.0e-12);

  }
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    assertTrue(Math.abs(Vector3D.angle(v1, v2) - 1.2) < 1.0e-12);

  }

  public void testNormalize() {
    assertEquals(1.0, new Vector3D(5, -4, 2).normalize().getNorm(), 1.0e-12);
    try {
        Vector3D.ZERO.normalize();
        fail("an exception should have been thrown");
    } catch (ArithmeticException ae) {
        // expected behavior
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        fail("wrong exception caught: " + e.getMessage());
    }
  }

  public void testOrthogonal() {
      Vector3D v1 = new Vector3D(0.1, 2.5, 1.3);
      assertEquals(0.0, Vector3D.dotProduct(v1, v1.orthogonal()), 1.0e-12);
      Vector3D v2 = new Vector3D(2.3, -0.003, 7.6);
      assertEquals(0.0, Vector3D.dotProduct(v2, v2.orthogonal()), 1.0e-12);
      Vector3D v3 = new Vector3D(-1.7, 1.4, 0.2);
      assertEquals(0.0, Vector3D.dotProduct(v3, v3.orthogonal()), 1.0e-12);
      try {
          new Vector3D(0, 0, 0).orthogonal();
          fail("an exception should have been thrown");
      } catch (ArithmeticException ae) {
          // expected behavior
      } catch (Exception e) {
          fail("wrong exception caught: " + e.getMessage());
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      }
  }

  public void testAngle() {
     assertEquals(0.22572612855273393616,
                  Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(4, 5, 6)),
                  1.0e-12);
     assertEquals(7.98595620686106654517199e-8,
                  Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(2, 4, 6.000001)),
                  1.0e-12);
     assertEquals(3.14159257373023116985197793156,
                  Vector3D.angle(new Vector3D(1, 2, 3), new Vector3D(-2, -4, -6.000001)),
                  1.0e-12);
     try {
         Vector3D.angle(Vector3D.ZERO, Vector3D.PLUS_I);
         fail("an exception should have been thrown");
     } catch (ArithmeticException ae) {
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Related Classes of org.apache.commons.math.geometry.Vector3D

  • org.apache.commons.math.geometry.RotationTest
  • org.apache.commons.math.geometry.Vector3DTest
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