src/main/java/org/apache/datasketches/pig/quantiles/DataToDoublesSketch.java [258:319]:
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  public static class Initial extends EvalFunc<Tuple> {
    // The Algebraic worker classes (Initial, IntermediateFinal) are static and stateless.
    // The constructors and final parameters must mirror the parent class as there is no linkage
    // between them.
    /**
     * Default constructor.
     */
    public Initial() {}

    /**
     * Constructor for the initial pass of an Algebraic function. Pig will call this and pass the
     * same constructor arguments as the base UDF. In this case the arguments are ignored.
     *
     * @param kStr string representation of k
     */
    public Initial(final String kStr) {}

    @Override // Initial exec
    public Tuple exec(final Tuple inputTuple) throws IOException {
      return inputTuple;
    }
  }

  // STATIC IntermediateFinal Class only called by Pig

  /**
   * Class used to calculate the intermediate or final combiner pass of an <i>Algebraic</i> sketch
   * operation. This is called from the combiner, and may be called multiple times (from the mapper
   * and from the reducer). It will receive a bag of values returned by either the <i>Intermediate</i>
   * stage or the <i>Initial</i> stages, so it needs to be able to differentiate between and
   * interpret both types.
   */
  public static class IntermediateFinal extends EvalFunc<Tuple> {
    // The Algebraic worker classes (Initial, IntermediateFinal) are static and stateless.
    // The constructors and final parameters must mirror the parent class as there is no linkage
    // between them.
    private final DoublesUnionBuilder unionBuilder_;

    /**
     * Default constructor. Assumes default k.
     */
    public IntermediateFinal() {
      this(0);
    }

    /**
     * Constructor for the intermediate and final passes of an Algebraic function. Pig will call
     * this and pass the same constructor arguments as the base UDF.
     *
     * @param kStr string representation of k
     */
    public IntermediateFinal(final String kStr) {
      this(Integer.parseInt(kStr));
    }

    /**
     * Constructor with primitives for the intermediate and final passes of an Algebraic function.
     *
     * @param k parameter that determines the accuracy and size of the sketch.
     */
    public IntermediateFinal(final int k) {
      this.unionBuilder_ = DoublesUnion.builder();
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src/main/java/org/apache/datasketches/pig/quantiles/UnionDoublesSketch.java [260:321]:
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  public static class Initial extends EvalFunc<Tuple> {
    // The Algebraic worker classes (Initial, IntermediateFinal) are static and stateless.
    // The constructors and final parameters must mirror the parent class as there is no linkage
    // between them.
    /**
     * Default constructor.
     */
    public Initial() {}

    /**
     * Constructor for the initial pass of an Algebraic function. Pig will call this and pass the
     * same constructor arguments as the base UDF. In this case the arguments are ignored.
     *
     * @param kStr string representation of k
     */
    public Initial(final String kStr) {}

    @Override // Initial exec
    public Tuple exec(final Tuple inputTuple) throws IOException {
      return inputTuple;
    }
  }

  // STATIC IntermediateFinal Class only called by Pig

  /**
   * Class used to calculate the intermediate or final combiner pass of an <i>Algebraic</i> union
   * operation. This is called from the combiner, and may be called multiple times (from the mapper
   * and from the reducer). It will receive a bag of values returned by either the <i>Intermediate</i>
   * stage or the <i>Initial</i> stages, so it needs to be able to differentiate between and
   * interpret both types.
   */
  public static class IntermediateFinal extends EvalFunc<Tuple> {
    // The Algebraic worker classes (Initial, IntermediateFinal) are static and stateless.
    // The constructors and final parameters must mirror the parent class as there is no linkage
    // between them.
    private final DoublesUnionBuilder unionBuilder_;

    /**
     * Default constructor. Assumes default k.
     */
    public IntermediateFinal() {
      this(0);
    }

    /**
     * Constructor for the intermediate and final passes of an Algebraic function. Pig will call
     * this and pass the same constructor arguments as the base UDF.
     *
     * @param kStr string representation of k
     */
    public IntermediateFinal(final String kStr) {
      this(Integer.parseInt(kStr));
    }

    /**
     * Constructor with primitives for the intermediate and final passes of an Algebraic function.
     *
     * @param k parameter that determines the accuracy and size of the sketch.
     */
    public IntermediateFinal(final int k) {
      this.unionBuilder_ = DoublesUnion.builder();
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