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Java example source code file (IntStream.java)

This example Java source code file (IntStream.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

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Java - Java tags/keywords

basestream, biconsumer, builder, doublestream, intbinaryoperator, intconsumer, intstream, intsummarystatistics, intunaryoperator, longstream, objintconsumer, optionaldouble, optionalint, override, util

The IntStream.java Java example source code

/*
 * Copyright (c) 2012, 2013, Oracle and/or its affiliates. All rights reserved.
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
 * or visit www.oracle.com if you need additional information or have any
 * questions.
 */
package java.util.stream;

import java.util.Arrays;
import java.util.IntSummaryStatistics;
import java.util.Objects;
import java.util.OptionalDouble;
import java.util.OptionalInt;
import java.util.PrimitiveIterator;
import java.util.Spliterator;
import java.util.Spliterators;
import java.util.function.BiConsumer;
import java.util.function.Function;
import java.util.function.IntBinaryOperator;
import java.util.function.IntConsumer;
import java.util.function.IntFunction;
import java.util.function.IntPredicate;
import java.util.function.IntSupplier;
import java.util.function.IntToDoubleFunction;
import java.util.function.IntToLongFunction;
import java.util.function.IntUnaryOperator;
import java.util.function.ObjIntConsumer;
import java.util.function.Supplier;

/**
 * A sequence of primitive int-valued elements supporting sequential and parallel
 * aggregate operations.  This is the {@code int} primitive specialization of
 * {@link Stream}.
 *
 * <p>The following example illustrates an aggregate operation using
 * {@link Stream} and {@link IntStream}, computing the sum of the weights of the
 * red widgets:
 *
 * <pre>{@code
 *     int sum = widgets.stream()
 *                      .filter(w -> w.getColor() == RED)
 *                      .mapToInt(w -> w.getWeight())
 *                      .sum();
 * }</pre>
 *
 * See the class documentation for {@link Stream} and the package documentation
 * for <a href="package-summary.html">java.util.stream for additional
 * specification of streams, stream operations, stream pipelines, and
 * parallelism.
 *
 * @since 1.8
 * @see Stream
 * @see <a href="package-summary.html">java.util.stream
 */
public interface IntStream extends BaseStream<Integer, IntStream> {

    /**
     * Returns a stream consisting of the elements of this stream that match
     * the given predicate.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @param predicate a <a href="package-summary.html#NonInterference">non-interfering,
     *                  <a href="package-summary.html#Statelessness">stateless
     *                  predicate to apply to each element to determine if it
     *                  should be included
     * @return the new stream
     */
    IntStream filter(IntPredicate predicate);

    /**
     * Returns a stream consisting of the results of applying the given
     * function to the elements of this stream.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @param mapper a <a href="package-summary.html#NonInterference">non-interfering,
     *               <a href="package-summary.html#Statelessness">stateless
     *               function to apply to each element
     * @return the new stream
     */
    IntStream map(IntUnaryOperator mapper);

    /**
     * Returns an object-valued {@code Stream} consisting of the results of
     * applying the given function to the elements of this stream.
     *
     * <p>This is an 
     *     intermediate operation</a>.
     *
     * @param <U> the element type of the new stream
     * @param mapper a <a href="package-summary.html#NonInterference">non-interfering,
     *               <a href="package-summary.html#Statelessness">stateless
     *               function to apply to each element
     * @return the new stream
     */
    <U> Stream mapToObj(IntFunction mapper);

    /**
     * Returns a {@code LongStream} consisting of the results of applying the
     * given function to the elements of this stream.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @param mapper a <a href="package-summary.html#NonInterference">non-interfering,
     *               <a href="package-summary.html#Statelessness">stateless
     *               function to apply to each element
     * @return the new stream
     */
    LongStream mapToLong(IntToLongFunction mapper);

    /**
     * Returns a {@code DoubleStream} consisting of the results of applying the
     * given function to the elements of this stream.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @param mapper a <a href="package-summary.html#NonInterference">non-interfering,
     *               <a href="package-summary.html#Statelessness">stateless
     *               function to apply to each element
     * @return the new stream
     */
    DoubleStream mapToDouble(IntToDoubleFunction mapper);

    /**
     * Returns a stream consisting of the results of replacing each element of
     * this stream with the contents of a mapped stream produced by applying
     * the provided mapping function to each element.  Each mapped stream is
     * {@link java.util.stream.BaseStream#close() closed} after its contents
     * have been placed into this stream.  (If a mapped stream is {@code null}
     * an empty stream is used, instead.)
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @param mapper a <a href="package-summary.html#NonInterference">non-interfering,
     *               <a href="package-summary.html#Statelessness">stateless
     *               function to apply to each element which produces an
     *               {@code IntStream} of new values
     * @return the new stream
     * @see Stream#flatMap(Function)
     */
    IntStream flatMap(IntFunction<? extends IntStream> mapper);

    /**
     * Returns a stream consisting of the distinct elements of this stream.
     *
     * <p>This is a stateful
     * intermediate operation</a>.
     *
     * @return the new stream
     */
    IntStream distinct();

    /**
     * Returns a stream consisting of the elements of this stream in sorted
     * order.
     *
     * <p>This is a stateful
     * intermediate operation</a>.
     *
     * @return the new stream
     */
    IntStream sorted();

    /**
     * Returns a stream consisting of the elements of this stream, additionally
     * performing the provided action on each element as elements are consumed
     * from the resulting stream.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * <p>For parallel stream pipelines, the action may be called at
     * whatever time and in whatever thread the element is made available by the
     * upstream operation.  If the action modifies shared state,
     * it is responsible for providing the required synchronization.
     *
     * @apiNote This method exists mainly to support debugging, where you want
     * to see the elements as they flow past a certain point in a pipeline:
     * <pre>{@code
     *     IntStream.of(1, 2, 3, 4)
     *         .filter(e -> e > 2)
     *         .peek(e -> System.out.println("Filtered value: " + e))
     *         .map(e -> e * e)
     *         .peek(e -> System.out.println("Mapped value: " + e))
     *         .sum();
     * }</pre>
     *
     * @param action a <a href="package-summary.html#NonInterference">
     *               non-interfering</a> action to perform on the elements as
     *               they are consumed from the stream
     * @return the new stream
     */
    IntStream peek(IntConsumer action);

    /**
     * Returns a stream consisting of the elements of this stream, truncated
     * to be no longer than {@code maxSize} in length.
     *
     * <p>This is a short-circuiting
     * stateful intermediate operation</a>.
     *
     * @apiNote
     * While {@code limit()} is generally a cheap operation on sequential
     * stream pipelines, it can be quite expensive on ordered parallel pipelines,
     * especially for large values of {@code maxSize}, since {@code limit(n)}
     * is constrained to return not just any <em>n elements, but the
     * <em>first n elements in the encounter order.  Using an unordered
     * stream source (such as {@link #generate(IntSupplier)}) or removing the
     * ordering constraint with {@link #unordered()} may result in significant
     * speedups of {@code limit()} in parallel pipelines, if the semantics of
     * your situation permit.  If consistency with encounter order is required,
     * and you are experiencing poor performance or memory utilization with
     * {@code limit()} in parallel pipelines, switching to sequential execution
     * with {@link #sequential()} may improve performance.
     *
     * @param maxSize the number of elements the stream should be limited to
     * @return the new stream
     * @throws IllegalArgumentException if {@code maxSize} is negative
     */
    IntStream limit(long maxSize);

    /**
     * Returns a stream consisting of the remaining elements of this stream
     * after discarding the first {@code n} elements of the stream.
     * If this stream contains fewer than {@code n} elements then an
     * empty stream will be returned.
     *
     * <p>This is a stateful
     * intermediate operation</a>.
     *
     * @apiNote
     * While {@code skip()} is generally a cheap operation on sequential
     * stream pipelines, it can be quite expensive on ordered parallel pipelines,
     * especially for large values of {@code n}, since {@code skip(n)}
     * is constrained to skip not just any <em>n elements, but the
     * <em>first n elements in the encounter order.  Using an unordered
     * stream source (such as {@link #generate(IntSupplier)}) or removing the
     * ordering constraint with {@link #unordered()} may result in significant
     * speedups of {@code skip()} in parallel pipelines, if the semantics of
     * your situation permit.  If consistency with encounter order is required,
     * and you are experiencing poor performance or memory utilization with
     * {@code skip()} in parallel pipelines, switching to sequential execution
     * with {@link #sequential()} may improve performance.
     *
     * @param n the number of leading elements to skip
     * @return the new stream
     * @throws IllegalArgumentException if {@code n} is negative
     */
    IntStream skip(long n);

    /**
     * Performs an action for each element of this stream.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * <p>For parallel stream pipelines, this operation does not
     * guarantee to respect the encounter order of the stream, as doing so
     * would sacrifice the benefit of parallelism.  For any given element, the
     * action may be performed at whatever time and in whatever thread the
     * library chooses.  If the action accesses shared state, it is
     * responsible for providing the required synchronization.
     *
     * @param action a <a href="package-summary.html#NonInterference">
     *               non-interfering</a> action to perform on the elements
     */
    void forEach(IntConsumer action);

    /**
     * Performs an action for each element of this stream, guaranteeing that
     * each element is processed in encounter order for streams that have a
     * defined encounter order.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @param action a <a href="package-summary.html#NonInterference">
     *               non-interfering</a> action to perform on the elements
     * @see #forEach(IntConsumer)
     */
    void forEachOrdered(IntConsumer action);

    /**
     * Returns an array containing the elements of this stream.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @return an array containing the elements of this stream
     */
    int[] toArray();

    /**
     * Performs a <a href="package-summary.html#Reduction">reduction on the
     * elements of this stream, using the provided identity value and an
     * <a href="package-summary.html#Associativity">associative
     * accumulation function, and returns the reduced value.  This is equivalent
     * to:
     * <pre>{@code
     *     int result = identity;
     *     for (int element : this stream)
     *         result = accumulator.applyAsInt(result, element)
     *     return result;
     * }</pre>
     *
     * but is not constrained to execute sequentially.
     *
     * <p>The {@code identity} value must be an identity for the accumulator
     * function. This means that for all {@code x},
     * {@code accumulator.apply(identity, x)} is equal to {@code x}.
     * The {@code accumulator} function must be an
     * <a href="package-summary.html#Associativity">associative function.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @apiNote Sum, min, max, and average are all special cases of reduction.
     * Summing a stream of numbers can be expressed as:
     *
     * <pre>{@code
     *     int sum = integers.reduce(0, (a, b) -> a+b);
     * }</pre>
     *
     * or more compactly:
     *
     * <pre>{@code
     *     int sum = integers.reduce(0, Integer::sum);
     * }</pre>
     *
     * <p>While this may seem a more roundabout way to perform an aggregation
     * compared to simply mutating a running total in a loop, reduction
     * operations parallelize more gracefully, without needing additional
     * synchronization and with greatly reduced risk of data races.
     *
     * @param identity the identity value for the accumulating function
     * @param op an <a href="package-summary.html#Associativity">associative,
     *           <a href="package-summary.html#NonInterference">non-interfering,
     *           <a href="package-summary.html#Statelessness">stateless
     *           function for combining two values
     * @return the result of the reduction
     * @see #sum()
     * @see #min()
     * @see #max()
     * @see #average()
     */
    int reduce(int identity, IntBinaryOperator op);

    /**
     * Performs a <a href="package-summary.html#Reduction">reduction on the
     * elements of this stream, using an
     * <a href="package-summary.html#Associativity">associative accumulation
     * function, and returns an {@code OptionalInt} describing the reduced value,
     * if any. This is equivalent to:
     * <pre>{@code
     *     boolean foundAny = false;
     *     int result = null;
     *     for (int element : this stream) {
     *         if (!foundAny) {
     *             foundAny = true;
     *             result = element;
     *         }
     *         else
     *             result = accumulator.applyAsInt(result, element);
     *     }
     *     return foundAny ? OptionalInt.of(result) : OptionalInt.empty();
     * }</pre>
     *
     * but is not constrained to execute sequentially.
     *
     * <p>The {@code accumulator} function must be an
     * <a href="package-summary.html#Associativity">associative function.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @param op an <a href="package-summary.html#Associativity">associative,
     *           <a href="package-summary.html#NonInterference">non-interfering,
     *           <a href="package-summary.html#Statelessness">stateless
     *           function for combining two values
     * @return the result of the reduction
     * @see #reduce(int, IntBinaryOperator)
     */
    OptionalInt reduce(IntBinaryOperator op);

    /**
     * Performs a <a href="package-summary.html#MutableReduction">mutable
     * reduction</a> operation on the elements of this stream.  A mutable
     * reduction is one in which the reduced value is a mutable result container,
     * such as an {@code ArrayList}, and elements are incorporated by updating
     * the state of the result rather than by replacing the result.  This
     * produces a result equivalent to:
     * <pre>{@code
     *     R result = supplier.get();
     *     for (int element : this stream)
     *         accumulator.accept(result, element);
     *     return result;
     * }</pre>
     *
     * <p>Like {@link #reduce(int, IntBinaryOperator)}, {@code collect} operations
     * can be parallelized without requiring additional synchronization.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @param <R> type of the result
     * @param supplier a function that creates a new result container. For a
     *                 parallel execution, this function may be called
     *                 multiple times and must return a fresh value each time.
     * @param accumulator an <a href="package-summary.html#Associativity">associative,
     *                    <a href="package-summary.html#NonInterference">non-interfering,
     *                    <a href="package-summary.html#Statelessness">stateless
     *                    function for incorporating an additional element into a result
     * @param combiner an <a href="package-summary.html#Associativity">associative,
     *                    <a href="package-summary.html#NonInterference">non-interfering,
     *                    <a href="package-summary.html#Statelessness">stateless
     *                    function for combining two values, which must be
     *                    compatible with the accumulator function
     * @return the result of the reduction
     * @see Stream#collect(Supplier, BiConsumer, BiConsumer)
     */
    <R> R collect(Supplier supplier,
                  ObjIntConsumer<R> accumulator,
                  BiConsumer<R, R> combiner);

    /**
     * Returns the sum of elements in this stream.  This is a special case
     * of a <a href="package-summary.html#Reduction">reduction
     * and is equivalent to:
     * <pre>{@code
     *     return reduce(0, Integer::sum);
     * }</pre>
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @return the sum of elements in this stream
     */
    int sum();

    /**
     * Returns an {@code OptionalInt} describing the minimum element of this
     * stream, or an empty optional if this stream is empty.  This is a special
     * case of a <a href="package-summary.html#Reduction">reduction
     * and is equivalent to:
     * <pre>{@code
     *     return reduce(Integer::min);
     * }</pre>
     *
     * <p>This is a terminal operation.
     *
     * @return an {@code OptionalInt} containing the minimum element of this
     * stream, or an empty {@code OptionalInt} if the stream is empty
     */
    OptionalInt min();

    /**
     * Returns an {@code OptionalInt} describing the maximum element of this
     * stream, or an empty optional if this stream is empty.  This is a special
     * case of a <a href="package-summary.html#Reduction">reduction
     * and is equivalent to:
     * <pre>{@code
     *     return reduce(Integer::max);
     * }</pre>
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @return an {@code OptionalInt} containing the maximum element of this
     * stream, or an empty {@code OptionalInt} if the stream is empty
     */
    OptionalInt max();

    /**
     * Returns the count of elements in this stream.  This is a special case of
     * a <a href="package-summary.html#Reduction">reduction and is
     * equivalent to:
     * <pre>{@code
     *     return mapToLong(e -> 1L).sum();
     * }</pre>
     *
     * <p>This is a terminal operation.
     *
     * @return the count of elements in this stream
     */
    long count();

    /**
     * Returns an {@code OptionalDouble} describing the arithmetic mean of elements of
     * this stream, or an empty optional if this stream is empty.  This is a
     * special case of a
     * <a href="package-summary.html#Reduction">reduction.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @return an {@code OptionalDouble} containing the average element of this
     * stream, or an empty optional if the stream is empty
     */
    OptionalDouble average();

    /**
     * Returns an {@code IntSummaryStatistics} describing various
     * summary data about the elements of this stream.  This is a special
     * case of a <a href="package-summary.html#Reduction">reduction.
     *
     * <p>This is a terminal
     * operation</a>.
     *
     * @return an {@code IntSummaryStatistics} describing various summary data
     * about the elements of this stream
     */
    IntSummaryStatistics summaryStatistics();

    /**
     * Returns whether any elements of this stream match the provided
     * predicate.  May not evaluate the predicate on all elements if not
     * necessary for determining the result.  If the stream is empty then
     * {@code false} is returned and the predicate is not evaluated.
     *
     * <p>This is a short-circuiting
     * terminal operation</a>.
     *
     * @apiNote
     * This method evaluates the <em>existential quantification of the
     * predicate over the elements of the stream (for some x P(x)).
     *
     * @param predicate a <a href="package-summary.html#NonInterference">non-interfering,
     *                  <a href="package-summary.html#Statelessness">stateless
     *                  predicate to apply to elements of this stream
     * @return {@code true} if any elements of the stream match the provided
     * predicate, otherwise {@code false}
     */
    boolean anyMatch(IntPredicate predicate);

    /**
     * Returns whether all elements of this stream match the provided predicate.
     * May not evaluate the predicate on all elements if not necessary for
     * determining the result.  If the stream is empty then {@code true} is
     * returned and the predicate is not evaluated.
     *
     * <p>This is a short-circuiting
     * terminal operation</a>.
     *
     * @apiNote
     * This method evaluates the <em>universal quantification of the
     * predicate over the elements of the stream (for all x P(x)).  If the
     * stream is empty, the quantification is said to be <em>vacuously
     * satisfied</em> and is always {@code true} (regardless of P(x)).
     *
     * @param predicate a <a href="package-summary.html#NonInterference">non-interfering,
     *                  <a href="package-summary.html#Statelessness">stateless
     *                  predicate to apply to elements of this stream
     * @return {@code true} if either all elements of the stream match the
     * provided predicate or the stream is empty, otherwise {@code false}
     */
    boolean allMatch(IntPredicate predicate);

    /**
     * Returns whether no elements of this stream match the provided predicate.
     * May not evaluate the predicate on all elements if not necessary for
     * determining the result.  If the stream is empty then {@code true} is
     * returned and the predicate is not evaluated.
     *
     * <p>This is a short-circuiting
     * terminal operation</a>.
     *
     * @apiNote
     * This method evaluates the <em>universal quantification of the
     * negated predicate over the elements of the stream (for all x ~P(x)).  If
     * the stream is empty, the quantification is said to be vacuously satisfied
     * and is always {@code true}, regardless of P(x).
     *
     * @param predicate a <a href="package-summary.html#NonInterference">non-interfering,
     *                  <a href="package-summary.html#Statelessness">stateless
     *                  predicate to apply to elements of this stream
     * @return {@code true} if either no elements of the stream match the
     * provided predicate or the stream is empty, otherwise {@code false}
     */
    boolean noneMatch(IntPredicate predicate);

    /**
     * Returns an {@link OptionalInt} describing the first element of this
     * stream, or an empty {@code OptionalInt} if the stream is empty.  If the
     * stream has no encounter order, then any element may be returned.
     *
     * <p>This is a short-circuiting
     * terminal operation</a>.
     *
     * @return an {@code OptionalInt} describing the first element of this stream,
     * or an empty {@code OptionalInt} if the stream is empty
     */
    OptionalInt findFirst();

    /**
     * Returns an {@link OptionalInt} describing some element of the stream, or
     * an empty {@code OptionalInt} if the stream is empty.
     *
     * <p>This is a short-circuiting
     * terminal operation</a>.
     *
     * <p>The behavior of this operation is explicitly nondeterministic; it is
     * free to select any element in the stream.  This is to allow for maximal
     * performance in parallel operations; the cost is that multiple invocations
     * on the same source may not return the same result.  (If a stable result
     * is desired, use {@link #findFirst()} instead.)
     *
     * @return an {@code OptionalInt} describing some element of this stream, or
     * an empty {@code OptionalInt} if the stream is empty
     * @see #findFirst()
     */
    OptionalInt findAny();

    /**
     * Returns a {@code LongStream} consisting of the elements of this stream,
     * converted to {@code long}.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @return a {@code LongStream} consisting of the elements of this stream,
     * converted to {@code long}
     */
    LongStream asLongStream();

    /**
     * Returns a {@code DoubleStream} consisting of the elements of this stream,
     * converted to {@code double}.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @return a {@code DoubleStream} consisting of the elements of this stream,
     * converted to {@code double}
     */
    DoubleStream asDoubleStream();

    /**
     * Returns a {@code Stream} consisting of the elements of this stream,
     * each boxed to an {@code Integer}.
     *
     * <p>This is an intermediate
     * operation</a>.
     *
     * @return a {@code Stream} consistent of the elements of this stream,
     * each boxed to an {@code Integer}
     */
    Stream<Integer> boxed();

    @Override
    IntStream sequential();

    @Override
    IntStream parallel();

    @Override
    PrimitiveIterator.OfInt iterator();

    @Override
    Spliterator.OfInt spliterator();

    // Static factories

    /**
     * Returns a builder for an {@code IntStream}.
     *
     * @return a stream builder
     */
    public static Builder builder() {
        return new Streams.IntStreamBuilderImpl();
    }

    /**
     * Returns an empty sequential {@code IntStream}.
     *
     * @return an empty sequential stream
     */
    public static IntStream empty() {
        return StreamSupport.intStream(Spliterators.emptyIntSpliterator(), false);
    }

    /**
     * Returns a sequential {@code IntStream} containing a single element.
     *
     * @param t the single element
     * @return a singleton sequential stream
     */
    public static IntStream of(int t) {
        return StreamSupport.intStream(new Streams.IntStreamBuilderImpl(t), false);
    }

    /**
     * Returns a sequential ordered stream whose elements are the specified values.
     *
     * @param values the elements of the new stream
     * @return the new stream
     */
    public static IntStream of(int... values) {
        return Arrays.stream(values);
    }

    /**
     * Returns an infinite sequential ordered {@code IntStream} produced by iterative
     * application of a function {@code f} to an initial element {@code seed},
     * producing a {@code Stream} consisting of {@code seed}, {@code f(seed)},
     * {@code f(f(seed))}, etc.
     *
     * <p>The first element (position {@code 0}) in the {@code IntStream} will be
     * the provided {@code seed}.  For {@code n > 0}, the element at position
     * {@code n}, will be the result of applying the function {@code f} to the
     * element at position {@code n - 1}.
     *
     * @param seed the initial element
     * @param f a function to be applied to to the previous element to produce
     *          a new element
     * @return A new sequential {@code IntStream}
     */
    public static IntStream iterate(final int seed, final IntUnaryOperator f) {
        Objects.requireNonNull(f);
        final PrimitiveIterator.OfInt iterator = new PrimitiveIterator.OfInt() {
            int t = seed;

            @Override
            public boolean hasNext() {
                return true;
            }

            @Override
            public int nextInt() {
                int v = t;
                t = f.applyAsInt(t);
                return v;
            }
        };
        return StreamSupport.intStream(Spliterators.spliteratorUnknownSize(
                iterator,
                Spliterator.ORDERED | Spliterator.IMMUTABLE | Spliterator.NONNULL), false);
    }

    /**
     * Returns an infinite sequential unordered stream where each element is
     * generated by the provided {@code IntSupplier}.  This is suitable for
     * generating constant streams, streams of random elements, etc.
     *
     * @param s the {@code IntSupplier} for generated elements
     * @return a new infinite sequential unordered {@code IntStream}
     */
    public static IntStream generate(IntSupplier s) {
        Objects.requireNonNull(s);
        return StreamSupport.intStream(
                new StreamSpliterators.InfiniteSupplyingSpliterator.OfInt(Long.MAX_VALUE, s), false);
    }

    /**
     * Returns a sequential ordered {@code IntStream} from {@code startInclusive}
     * (inclusive) to {@code endExclusive} (exclusive) by an incremental step of
     * {@code 1}.
     *
     * @apiNote
     * <p>An equivalent sequence of increasing values can be produced
     * sequentially using a {@code for} loop as follows:
     * <pre>{@code
     *     for (int i = startInclusive; i < endExclusive ; i++) { ... }
     * }</pre>
     *
     * @param startInclusive the (inclusive) initial value
     * @param endExclusive the exclusive upper bound
     * @return a sequential {@code IntStream} for the range of {@code int}
     *         elements
     */
    public static IntStream range(int startInclusive, int endExclusive) {
        if (startInclusive >= endExclusive) {
            return empty();
        } else {
            return StreamSupport.intStream(
                    new Streams.RangeIntSpliterator(startInclusive, endExclusive, false), false);
        }
    }

    /**
     * Returns a sequential ordered {@code IntStream} from {@code startInclusive}
     * (inclusive) to {@code endInclusive} (inclusive) by an incremental step of
     * {@code 1}.
     *
     * @apiNote
     * <p>An equivalent sequence of increasing values can be produced
     * sequentially using a {@code for} loop as follows:
     * <pre>{@code
     *     for (int i = startInclusive; i <= endInclusive ; i++) { ... }
     * }</pre>
     *
     * @param startInclusive the (inclusive) initial value
     * @param endInclusive the inclusive upper bound
     * @return a sequential {@code IntStream} for the range of {@code int}
     *         elements
     */
    public static IntStream rangeClosed(int startInclusive, int endInclusive) {
        if (startInclusive > endInclusive) {
            return empty();
        } else {
            return StreamSupport.intStream(
                    new Streams.RangeIntSpliterator(startInclusive, endInclusive, true), false);
        }
    }

    /**
     * Creates a lazily concatenated stream whose elements are all the
     * elements of the first stream followed by all the elements of the
     * second stream.  The resulting stream is ordered if both
     * of the input streams are ordered, and parallel if either of the input
     * streams is parallel.  When the resulting stream is closed, the close
     * handlers for both input streams are invoked.
     *
     * @implNote
     * Use caution when constructing streams from repeated concatenation.
     * Accessing an element of a deeply concatenated stream can result in deep
     * call chains, or even {@code StackOverflowException}.
     *
     * @param a the first stream
     * @param b the second stream
     * @return the concatenation of the two input streams
     */
    public static IntStream concat(IntStream a, IntStream b) {
        Objects.requireNonNull(a);
        Objects.requireNonNull(b);

        Spliterator.OfInt split = new Streams.ConcatSpliterator.OfInt(
                a.spliterator(), b.spliterator());
        IntStream stream = StreamSupport.intStream(split, a.isParallel() || b.isParallel());
        return stream.onClose(Streams.composedClose(a, b));
    }

    /**
     * A mutable builder for an {@code IntStream}.
     *
     * <p>A stream builder has a lifecycle, which starts in a building
     * phase, during which elements can be added, and then transitions to a built
     * phase, after which elements may not be added.  The built phase
     * begins when the {@link #build()} method is called, which creates an
     * ordered stream whose elements are the elements that were added to the
     * stream builder, in the order they were added.
     *
     * @see IntStream#builder()
     * @since 1.8
     */
    public interface Builder extends IntConsumer {

        /**
         * Adds an element to the stream being built.
         *
         * @throws IllegalStateException if the builder has already transitioned
         * to the built state
         */
        @Override
        void accept(int t);

        /**
         * Adds an element to the stream being built.
         *
         * @implSpec
         * The default implementation behaves as if:
         * <pre>{@code
         *     accept(t)
         *     return this;
         * }</pre>
         *
         * @param t the element to add
         * @return {@code this} builder
         * @throws IllegalStateException if the builder has already transitioned
         * to the built state
         */
        default Builder add(int t) {
            accept(t);
            return this;
        }

        /**
         * Builds the stream, transitioning this builder to the built state.
         * An {@code IllegalStateException} is thrown if there are further
         * attempts to operate on the builder after it has entered the built
         * state.
         *
         * @return the built stream
         * @throws IllegalStateException if the builder has already transitioned to
         * the built state
         */
        IntStream build();
    }
}
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