List of orthogonal() Examples

Examples of orthogonal()

org.apache.commons.math.geometry.Vector3D.orthogonal()
Get a vector orthogonal to the instance.
There are an infinite number of normalized vectors orthogonal to the instance. This method picks up one of them almost arbitrarily. It is useful when one needs to compute a reference frame with one of the axes in a predefined direction. The following example shows how to build a frame having the k axis aligned with the known vector u :
```
 Vector3D k = u.normalize(); Vector3D i = k.orthogonal(); Vector3D j = Vector3D.crossProduct(k, i); 
```
@return a new normalized vector orthogonal to the instance @exception ArithmeticException if the norm of the instance is null

Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

    }
  }


  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 {

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()


  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");

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

      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

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

    }
  }


  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 {

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()


  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");

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

      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

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

    }
  }


  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 {

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()


  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");

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

      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

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Examples of org.apache.commons.math.geometry.Vector3D.orthogonal()

    }
  }


  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 {

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