* optimizing, because the rest have the option of calling `trimmed`.
   */

  private final transient int start; // it happens that we only serialize instances where this is 0
  private final int end; // exclusive

  private ImmutableDoubleArray(double[] array) {
    this(array, 0, array.length);
  }

  private ImmutableDoubleArray(double[] array, int start, int end) {
    this.array = array;

   * optimizing, because the rest have the option of calling `trimmed`.
   */

  private final transient int start; // it happens that we only serialize instances where this is 0
  private final int end; // exclusive

  private ImmutableIntArray(int[] array) {
    this(array, 0, array.length);
  }

  private ImmutableIntArray(int[] array, int start, int end) {
    this.array = array;
    this.start = start;

Section 2 -- Scope.

  a. License grant.

       1. Subject to the terms and conditions of this Public License,
          the Licensor hereby grants You a worldwide, royalty-free,
          non-sublicensable, non-exclusive, irrevocable license to
          exercise the Licensed Rights in the Licensed Material to:

            a. reproduce and Share the Licensed Material, in whole or
               in part; and

 * sequences, accessible as streams or files. Each value must be between `0` and `Int.MAX_VALUE`
 * bytes in length.
 *
 * The cache stores its data in a directory on the filesystem. This directory must be exclusive to
 * the cache; the cache may delete or overwrite files from its directory. It is an error for
 * multiple processes to use the same cache directory at the same time.
 *

   */

  /**
   * Ensures that {@code index} specifies a valid <i>element</i> in an array, list or string of size
   * {@code size}. An element index may range from zero, inclusive, to {@code size}, exclusive.
   *
   * @param index a user-supplied index identifying an element of an array, list or string
   * @param size the size of that array, list or string
   * @return the value of {@code index}

  }

  /**
   * This method returns a {@code ImmutableSortedMap}, consisting of the entries whose keys ranges
   * from {@code fromKey}, inclusive, to {@code toKey}, exclusive.
   *
   * <p>The {@link SortedMap#subMap} documentation states that a submap of a submap throws an {@link
   * IllegalArgumentException} if passed a {@code fromKey} less than an earlier {@code fromKey}.

   *
   * <p>See http://en.wikipedia.org/wiki/File:Bloom_filter_fp_probability.svg for the formula.
   *
   * @param p desired false positive probability (must be between 0 and 1, exclusive)
   */
  @VisibleForTesting
  static int optimalNumOfHashFunctions(double p) {
    // -log(p) / log(2), ensuring the result is rounded to avoid truncation.
    return max(1, (int) Math.round(-Math.log(p) / LOG_TWO));

  }

  // constrain the return type to ImmutableList<E>

  /**
   * Returns an immutable list of the elements between the specified {@code fromIndex}, inclusive,
   * and {@code toIndex}, exclusive. (If {@code fromIndex} and {@code toIndex} are equal, the empty
   * immutable list is returned.)
   *
   * <p><b>Note:</b> in almost all circumstances, the returned {@link ImmutableList} retains a

SecP256r1MLKEM768 and SecP384r1MLKEM1024. The default can be reverted using the
[`tlssecpmlkem` setting](/pkg/crypto/tls/#Config.CurvePreferences).

Go 1.26 added a new `tracebacklabels` setting that controls the inclusion of
goroutine labels set through the the `runtime/pprof` package. Setting `tracebacklabels=1`
includes these key/value pairs in the goroutine status header of runtime

 *
 * <p>While {@code ReadWriteLock} instances have different properties and can form cycles without
 * potential deadlock, this class treats {@code ReadWriteLock} instances as equivalent to
 * traditional exclusive locks. Although this increases the false positives that the locks detect
 * (i.e. cycles that will not actually result in deadlock), it simplifies the algorithm and