### **4.1 Spark Pi**

Test the Spark installation by running the following compute intensive example, which calculates pi by “throwing darts” at a circle. The program generates points in the unit square ((0,0) to (1,1)) and counts how many points fall within the unit circle within the square. The result approximates pi.

Follow these steps to run the Spark Pi example:

- Login as user **‘spark’**.

          Set<Type> combined = new LinkedHashSet<>(asList(upperBounds));
          // Since this is an artificially generated type variable, we don't bother checking
          // subtyping between declared type bound and actual type bound. So it's possible that we
          // may generate something like <capture#1-of ? extends Foo&SubFoo>.
          // Checking subtype between declared and actual type bounds

 * under the License.
 */

/**
 * Provides annotations for Maven plugin development, including mojo configuration,
 * parameter definitions, and lifecycle bindings. These annotations are used to
 * generate plugin descriptors and configure plugin behavior.
 *
 * @since 4.0.0
 */

        UserRoleLoginException exception = new UserRoleLoginException(RootAction.class);
        Throwable result = exception.fillInStackTrace();
        assertNull(result);

        // Verify that stack trace is not generated
        StackTraceElement[] stackTrace = exception.getStackTrace();
        assertEquals(0, stackTrace.length);
    }

    public void test_serialVersionUID() {
        // Test that serialVersionUID is correctly defined

  int max;

  static AtomicLong requests = new AtomicLong(0);
  static AtomicLong misses = new AtomicLong(0);

  @BeforeExperiment
  void setUp() {
    // random integers will be generated in this range, then raised to the
    // power of (1/concentration) and floor()ed
    max = Ints.checkedCast((long) Math.pow(distinctKeys, concentration));

    cache =
        CacheBuilder.newBuilder()

   * such as {@link ForwardingSet#delegate}. Concrete subclasses override this method to supply the
   * instance being decorated.
   */
  protected abstract Object delegate();

  /** Returns the string representation generated by the delegate's {@code toString} method. */
  @Override
  public String toString() {
    return delegate().toString();
  }

  /* No equals or hashCode. See class comments for details. */

        assertNull(exception.getCause());
    }

    public void test_constructorWithMessageAndCause() {
        // Test constructor with message and cause
        String message = "Failed to generate thumbnail for document";
        Exception cause = new RuntimeException("Image processing error");
        ThumbnailGenerationException exception = new ThumbnailGenerationException(message, cause);

package cmd

// Code generated by github.com/tinylib/msgp DO NOT EDIT.

import (
	"github.com/minio/madmin-go/v3"
	"github.com/tinylib/msgp/msgp"
)

// DecodeMsg implements msgp.Decodable
func (z *TierConfigMgr) DecodeMsg(dc *msgp.Reader) (err error) {
	var field []byte
	_ = field
	var zb0001 uint32
	zb0001, err = dc.ReadMapHeader()
	if err != nil {
		err = msgp.WrapError(err)
		return
	}
	for zb0001 > 0 {
		zb0001--

/** File generated by Grunt -- do not modify
 *  JQUERY-FORM-VALIDATOR
 *
 *  @version 2.3.77
 *  @website http://formvalidator.net/
 *  @author Victor Jonsson, http://victorjonsson.se
 *  @license MIT
 */

/** File generated by Grunt -- do not modify
 *  JQUERY-FORM-VALIDATOR
 *
 *  @version 2.3.77
 *  @website http://formvalidator.net/
 *  @author Victor Jonsson, http://victorjonsson.se
 *  @license MIT
 */