Refining Guesses

Before we check whether u < q̂·v, we can adjust our guess to change it from
q̂ = ⌊uₙuₙ₋₁ / vₙ₋₁⌋ into the refined guess ⌊uₙuₙ₋₁uₙ₋₂ / vₙ₋₁vₙ₋₂⌋.
Although not mentioned above, the Good Guess Guarantee also promises that this
3-by-2-digit division guess is more precise and at most one away from the real
answer q. The improvement from the 2-by-1 to the 3-by-2 guess can also be done
without n-digit math.

     * guess with an application of Newton's method, which sets guess := (guess + (x / guess)) / 2.
     * This iteration has the following two properties:
     *
     * a) every iteration (except potentially the first) has guess >= floor(sqrt(x)). This is
     * because guess' is the arithmetic mean of guess and x / guess, sqrt(x) is the geometric mean,

stderr '^bad114[/\\]bad114.go:15:2: duplicate method .?Y.?( .*)?$'


# With a vendor/modules.txt lacking language versions, the world is topsy-turvy,
# because we have to guess a uniform version for everything.
#
# We always guess Go 1.16, because that was the last version for which
# 'go mod vendor' failed to record dependency versions, and it has most of
# the language features added since modules were introduced in Go 1.11.
#

     * guess with an application of Newton's method, which sets guess := (guess + (x / guess)) / 2.
     * This iteration has the following two properties:
     *
     * a) every iteration (except potentially the first) has guess >= floor(sqrt(x)). This is
     * because guess' is the arithmetic mean of guess and x / guess, sqrt(x) is the geometric mean,

	// Final argument is (basep *uintptr) and the syscall doesn't take nil.
	// 64 bits should be enough. (32 bits isn't even on 386). Since the
	// actual system call is getdirentries64, 64 is a good guess.
	// TODO(rsc): Can we use a single global basep for all calls?
	var base = (*uintptr)(unsafe.Pointer(new(uint64)))
	return Getdirentries(fd, buf, base)

// tag::archive-trees[]
// Create a ZIP file tree using path
val zip: FileTree = zipTree("someFile.zip")

// Create a TAR file tree using path
val tar: FileTree = tarTree("someFile.tar")

// tar tree attempts to guess the compression based on the file extension
// however if you must specify the compression explicitly you can:
val someTar: FileTree = tarTree(resources.gzip("someTar.ext"))

   * a CountdownLatch).
   */
  @Throws(InterruptedException::class)
  abstract fun dispatch(request: RecordedRequest): MockResponse

  /**
   * Returns an early guess of the next response, used for policy on how an incoming request should
   * be received. The default implementation returns an empty response. Mischievous implementations

	// bounds. needm should refresh the stack bounds anyway since this is a
	// new thread.

	// N.B. since we used a custom stack with makecontext,
	// callbackUpdateSystemStack had to guess the bounds. Its guess assumes
	// a 32KiB stack.
	char *prev_stack_lo = stack2 + STACK_SIZE - (32*1024);

	// New SP is just barely in bounds, but if we don't update the bounds
	// we'll almost certainly overflow. The SP that

        checkRoundingUnnecessary(guessSquared == x);
        return guess;
      case FLOOR:
      case DOWN:
        if (x < guessSquared) {
          return guess - 1;
        }
        return guess;
      case CEILING:
      case UP:
        if (x > guessSquared) {
          return guess + 1;
        }
        return guess;
      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:

        checkRoundingUnnecessary(guessSquared == x);
        return guess;
      case FLOOR:
      case DOWN:
        if (x < guessSquared) {
          return guess - 1;
        }
        return guess;
      case CEILING:
      case UP:
        if (x > guessSquared) {
          return guess + 1;
        }
        return guess;
      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN: