Package org.apache.commons.math.geometry

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

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      assertEquals(FastMath.sqrt(14), new Vector3D(1, 2, 3).getNorm(), 1.0e-12);
    }

  public void testNormInf() {
      assertEquals(0.0, Vector3D.ZERO.getNormInf());
      assertEquals(3.0, new Vector3D(1, -2, 3).getNormInf(), 0);
    }
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      assertEquals(0.0, Vector3D.ZERO.getNormInf());
      assertEquals(3.0, new Vector3D(1, -2, 3).getNormInf(), 0);
    }

  public void testDistance1() {
      Vector3D v1 = new Vector3D(1, -2, 3);
      Vector3D v2 = new Vector3D(-4, 2, 0);
      assertEquals(0.0, Vector3D.distance1(Vector3D.MINUS_I, Vector3D.MINUS_I), 0);
      assertEquals(12.0, Vector3D.distance1(v1, v2), 1.0e-12);
      assertEquals(v1.subtract(v2).getNorm1(), Vector3D.distance1(v1, v2), 1.0e-12);
  }
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      assertEquals(12.0, Vector3D.distance1(v1, v2), 1.0e-12);
      assertEquals(v1.subtract(v2).getNorm1(), Vector3D.distance1(v1, v2), 1.0e-12);
  }

  public void testDistance() {
      Vector3D v1 = new Vector3D(1, -2, 3);
      Vector3D v2 = new Vector3D(-4, 2, 0);
      assertEquals(0.0, Vector3D.distance(Vector3D.MINUS_I, Vector3D.MINUS_I), 0);
      assertEquals(FastMath.sqrt(50), Vector3D.distance(v1, v2), 1.0e-12);
      assertEquals(v1.subtract(v2).getNorm(), Vector3D.distance(v1, v2), 1.0e-12);
  }
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      assertEquals(FastMath.sqrt(50), Vector3D.distance(v1, v2), 1.0e-12);
      assertEquals(v1.subtract(v2).getNorm(), Vector3D.distance(v1, v2), 1.0e-12);
  }

  public void testDistanceSq() {
      Vector3D v1 = new Vector3D(1, -2, 3);
      Vector3D v2 = new Vector3D(-4, 2, 0);
      assertEquals(0.0, Vector3D.distanceSq(Vector3D.MINUS_I, Vector3D.MINUS_I), 0);
      assertEquals(50.0, Vector3D.distanceSq(v1, v2), 1.0e-12);
      assertEquals(Vector3D.distance(v1, v2) * Vector3D.distance(v1, v2),
                   Vector3D.distanceSq(v1, v2), 1.0e-12);
  }
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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(FastMath.abs(Vector3D.dotProduct(v1, v2) - 11) < 1.0e-12);

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

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

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

  }
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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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