* @throws ArithmeticException if {@code mode} is {@link RoundingMode#UNNECESSARY} and {@code x}
   *     is not a power of two
   */
  @SuppressWarnings("fallthrough")
  // TODO(kevinb): remove after this warning is disabled globally
  public static int log2(long x, RoundingMode mode) {
    checkPositive("x", x);
    switch (mode) {
      case UNNECESSARY:
        checkRoundingUnnecessary(isPowerOfTwo(x));

  /**
   * Returns a general-purpose, <b>temporary-use</b>, non-cryptographic hash function. The algorithm
   * the returned function implements is unspecified and subject to change without notice.
   *
   * <p><b>Warning:</b> a new random seed for these functions is chosen each time the {@code
   * Hashing} class is loaded. <b>Do not use this method</b> if hash codes may escape the current

import org.jspecify.annotations.Nullable;

/**
 * A {@link NavigableMap} whose contents will never change, with many other important properties
 * detailed at {@link ImmutableCollection}.
 *
 * <p><b>Warning:</b> as with any sorted collection, you are strongly advised not to use a {@link
 * Comparator} or {@link Comparable} type whose comparison behavior is <i>inconsistent with

        3,
        3,
        7,
        new boolean[] {false, true, false, false, true, false, true});
  }

  public void testToArray() {
    // need explicit type parameter to avoid javac warning!?
    List<Boolean> none = Arrays.<Boolean>asList();
    assertThat(Booleans.toArray(none)).isEqualTo(EMPTY);

    List<Boolean> one = Arrays.asList(false);
    assertThat(Booleans.toArray(one)).isEqualTo(ARRAY_FALSE);

   * live view is <i>not</i> needed, it may be faster to copy {@code Iterables.filter(unfiltered,
   * predicate)} and use the copy.
   *
   * <p><b>Warning:</b> {@code predicate} must be <i>consistent with equals</i>, as documented at
   * {@link Predicate#apply}. Do not provide a predicate such as {@code

<img src="/img/tutorial/behind-a-proxy/image02.png">

完全符合我们的预期。✔️

这是因为 FastAPI 使用该 `root_path` 在 OpenAPI 中创建默认的 `server`，其 URL 来自 `root_path`。

## 附加的服务器 { #additional-servers }

/// warning | 警告

这是一个更高级的用例，可以跳过。

///

默认情况下，**FastAPI** 会在 OpenAPI 模式中使用 `root_path` 的 URL 创建一个 `server`。

但你也可以提供其他备选的 `servers`，例如你希望让“同一个”文档界面同时与预发布环境和生产环境交互。

Isso pode fazer mais sentido agora. ✨

Tudo isso é o que empodera o FastAPI (através do Starlette) e que o faz ter uma performance tão impressionante.

## Detalhes muito técnicos { #very-technical-details }

/// warning | Atenção

Você pode provavelmente pular isso.

Esses são detalhes muito técnicos de como **FastAPI** funciona por baixo do capô.

success.crud_create_crud_table = データを作成しました。
success.crud_update_crud_table = データを更新しました。
success.crud_delete_crud_table = データを削除しました。
errors.front_footer=
errors.front_header=
errors.front_prefix=<div class="alert alert-warning">

   * @throws ArithmeticException if {@code mode} is {@link RoundingMode#UNNECESSARY} and {@code x}
   *     is not a power of two
   */
  @SuppressWarnings("fallthrough")
  // TODO(kevinb): remove after this warning is disabled globally
  public static int log2(int x, RoundingMode mode) {
    checkPositive("x", x);
    switch (mode) {
      case UNNECESSARY:
        checkRoundingUnnecessary(isPowerOfTwo(x));

 * <ul>
 *   <li>{@code [a..a]} : a singleton range
 *   <li>{@code [a..a); (a..a]} : {@linkplain #isEmpty empty} ranges; also valid
 *   <li>{@code (a..a)} : <b>invalid</b>; an exception will be thrown
 * </ul>
 *
 * <h3>Warnings</h3>
 *
 * <ul>
 *   <li>Use immutable value types only, if at all possible. If you must use a mutable type, <b>do
 *       not</b> allow the endpoint instances to mutate after the range is created!