// because there will be a policy mapping stored on drives whose
	// filename is this parentUser: therefore, it needs to have only valid
	// filename characters and needs to have bounded length.
	{
		h := sha256.New()
		h.Write([]byte("openid:" + subFromToken + ":" + issFromToken))
		bs := h.Sum(nil)
		cred.ParentUser = base64.RawURLEncoding.EncodeToString(bs)
	}

// Check if device coordinate is outside of topology mesh shape bounds.
bool DeviceCoordinateOutOfBound(int x, int y, int z, int core, int bound_x,
                                int bound_y, int bound_z, int bound_core) {
  return x < 0 || x >= bound_x || y < 0 || y >= bound_y || z < 0 ||
         z >= bound_z || core < 0 || core >= bound_core;
}

// Create error message for an out of bound device coordinate.

			// considered "1.0", for p == 0, the mantissa value m is >= 0.5.
			// If m > 0.5, it is rounded up to 1.0; i.e., the smallest denormal.
			// If m == 0.5, it is rounded down to even, i.e., 0.0.
			// If p < 0, the mantissa value m is <= "0.25" which is never rounded up.
			if p < 0 /* m <= 0.25 */ || p == 0 && x.mant.sticky(uint(len(x.mant))*_W-1) == 0 /* m == 0.5 */ {
				// underflow to ±0

    </div>
  </div>
</nav>

<!-- Sign in dialog -->
<dialog id="dialog" class="w-full sm:w-2/3 lg:w-1/3 border rounded-md shadow-xl">
  <div class="flex min-h-full flex-col justify-center px-6 py-12 lg:px-8">
    <div class="absolute right-0 top-0 hidden pr-4 pt-4 sm:block">
      <button id="close-dialog" type="button" class="rounded-md bg-white text-gray-400 hover:text-gray-500 focus:outline-none focus:ring-2 focus:ring-blue-500 focus:ring-offset-2">

      int result = BigIntegerMath.log2(x, HALF_UP);
      BigInteger x2 = x.pow(2);
      // x^2 < 2^(2 * result + 1), or else we would have rounded up
      assertTrue(ZERO.setBit(2 * result + 1).compareTo(x2) > 0);
      // x^2 >= 2^(2 * result - 1), or else we would have rounded down
      assertTrue(result == 0 || ZERO.setBit(2 * result - 1).compareTo(x2) <= 0);
    }
  }

  public void testLog2HalfDown() {

	// WaitForAttachAndMount processes the volumes referenced in the specified
	// pod and blocks until they are all attached and mounted (reflected in
	// actual state of the world).
	// An error is returned if all volumes are not attached and mounted within
	// the duration defined in podAttachAndMountTimeout.
	WaitForAttachAndMount(ctx context.Context, pod *v1.Pod) error

// a number greater than 2^63-1 in magnitude, nor may it have more than 3 decimal
// places. Numbers larger or more precise will be capped or rounded up.
// (E.g.: 0.1m will rounded up to 1m.)
// This may be extended in the future if we require larger or smaller quantities.
//
// When a Quantity is parsed from a string, it will remember the type of suffix

		mock.HelloService.Hostname: false,
		mock.WorldService.Hostname: false,
	}

	count := 0
	// Compare return value to ground truth
	for _, svc := range services {
		if counted, existed := hosts[svc.Hostname]; existed && !counted {
			count++
			hosts[svc.Hostname] = true
		}
	}

	if count != len(hosts) {
		t.Fatalf("Cluster local service map expected size %d, actual %v vs %v", count, hosts, services)
	}

	hstats.totalS3Requests.Inc(api)
	code := w.StatusCode

	switch {
	case code == 0:
	case code == 499:
		// 499 is a good error, shall be counted as canceled.
		hstats.totalS3Canceled.Inc(api)
	case code >= http.StatusBadRequest:
		if code >= http.StatusInternalServerError {
			hstats.totalS35xxErrors.Inc(api)
		} else {
			hstats.totalS34xxErrors.Inc(api)

}

// DeviceMounter can mount a block volume to a global path.
type DeviceMounter interface {
	// GetDeviceMountPath returns a path where the device should
	// be mounted after it is attached. This is a global mount
	// point which should be bind mounted for individual volumes.
	GetDeviceMountPath(spec *Spec) (string, error)

	// MountDevice mounts the disk to a global path which
	// individual pods can then bind mount