* is precisely representable as a {@code double}, its {@code double} value will be returned;
   * otherwise, the rounding will choose between the two nearest representable values with {@code
   * mode}.
   *
   * <p>For the case of {@link RoundingMode#HALF_EVEN}, this implementation uses the IEEE 754

  public void testLog2HalfEven() {
    for (BigInteger x : POSITIVE_BIGINTEGER_CANDIDATES) {
      int halfEven = BigIntegerMath.log2(x, HALF_EVEN);
      // Now figure out what rounding mode we should behave like (it depends if FLOOR was
      // odd/even).
      boolean floorWasEven = (BigIntegerMath.log2(x, FLOOR) & 1) == 0;

        boolean isInBounds =
            expected.compareTo(MAX_INT_AS_BIG_DECIMAL) <= 0
                & expected.compareTo(MIN_INT_AS_BIG_DECIMAL) >= 0;

        try {
          assertEquals(
              "Rounding " + d + " with mode " + mode,
              expected.intValue(),
              DoubleMath.roundToInt(d, mode));
          assertTrue(isInBounds);
        } catch (ArithmeticException e) {

    assertThrows(IllegalArgumentException.class, () -> RateLimiter.create(1.0, -1, NANOSECONDS));
  }

  @AndroidIncompatible // difference in String.format rounding?
  public void testWarmUp() {
    RateLimiter limiter = RateLimiter.create(2.0, 4000, MILLISECONDS, 3.0, stopwatch);
    for (int i = 0; i < 8; i++) {
      limiter.acquire(); // #1
    }

    assertThrows(IllegalArgumentException.class, () -> RateLimiter.create(1.0, -1, NANOSECONDS));
  }

  @AndroidIncompatible // difference in String.format rounding?
  public void testWarmUp() {
    RateLimiter limiter = RateLimiter.create(2.0, 4000, MILLISECONDS, 3.0, stopwatch);
    for (int i = 0; i < 8; i++) {
      limiter.acquire(); // #1
    }

  }

  /**
   * Returns the current elapsed time shown on this stopwatch as a {@link Duration}. Unlike {@link
   * #elapsed(TimeUnit)}, this method does not lose any precision due to rounding.
   *
   * @since 22.0 (but only since 33.4.0 in the Android flavor)
   */
  @J2ktIncompatible
  @GwtIncompatible
  @J2ObjCIncompatible
  public Duration elapsed() {

        boolean isInBounds =
            expected.compareTo(MAX_INT_AS_BIG_DECIMAL) <= 0
                & expected.compareTo(MIN_INT_AS_BIG_DECIMAL) >= 0;

        try {
          assertEquals(
              "Rounding " + d + " with mode " + mode,
              expected.intValue(),
              DoubleMath.roundToInt(d, mode));
          assertTrue(isInBounds);
        } catch (ArithmeticException e) {

**FastAPI** provides the same `starlette.staticfiles` as `fastapi.staticfiles` just as a convenience for you, the developer. But it actually comes directly from Starlette.

///

### What is "Mounting" { #what-is-mounting }

"Mounting" means adding a complete "independent" application in a specific path, that then takes care of handling all the sub-paths.

If you need to have two independent FastAPI applications, with their own independent OpenAPI and their own docs UIs, you can have a main app and "mount" one (or more) sub-application(s).

## Mounting a **FastAPI** application { #mounting-a-fastapi-application }

"Mounting" means adding a completely "independent" application in a specific path, that then takes care of handling everything under that path, with the _path operations_ declared in that sub-application.

**FastAPI**, geliştiricilere kolaylık sağlamak amacıyla `starlette.staticfiles`'ı `fastapi.staticfiles` olarak sağlar. Ancak `StaticFiles` sınıfı aslında doğrudan Starlette'den gelir.

///

### Bağlama (Mounting) Nedir?

"Bağlamak", belirli bir yola tamamen "bağımsız" bir uygulama eklemek anlamına gelir ve ardından tüm alt yollara gelen istekler bu uygulama tarafından işlenir.