return goal
}

const (
	// These constants determine the bounds on the GC trigger as a fraction
	// of heap bytes allocated between the start of a GC (heapLive == heapMarked)
	// and the end of a GC (heapLive == heapGoal).
	//
	// The constants are obscured in this way for efficiency. The denominator
	// of the fraction is always a power-of-two for a quick division, so that

	{-1.5, -2},
	{-2.5, -3},
	{NaN(), NaN()},
	{Inf(1), Inf(1)},
	{2251799813685249.5, 2251799813685250}, // 1 bit fraction
	{2251799813685250.5, 2251799813685251},
	{4503599627370495.5, 4503599627370496}, // 1 bit fraction, rounding to 0 bit fraction
	{4503599627370497, 4503599627370497},   // large integer
}
var vfroundEvenSC = [][2]float64{
	{0, 0},
	{1.390671161567e-309, 0}, // denormal

  // CHECK: %[[ROUND_VAL:.*]] = "tf.Floor"(%arg0) : (tensor<2xf32>) -> tensor<2xf32>
  // CHECK: %[[FRACTION:.*]] = "tf.Sub"(%arg0, %[[ROUND_VAL]]) : (tensor<2xf32>, tensor<2xf32>) -> tensor<2xf32>
  // CHECK: %[[GT:.*]] = "tf.Greater"(%[[FRACTION]], %[[HALF]]) : (tensor<2xf32>, tensor<f32>) -> tensor<2xi1>
  // CHECK: %[[EQ:.*]] = "tf.Equal"(%[[FRACTION]], %[[HALF]]) <{incompatible_shape_error = true}> : (tensor<2xf32>, tensor<f32>) -> tensor<2xi1>

// RUN: tf-opt %s -split-input-file -verify-diagnostics -tf-tpu-cluster-formation | FileCheck %s


// Test ops in cluster only have `_replication_info` and `device` attributes
// removed when moved to a `tf_device.cluster`.
// CHECK-LABEL: func @cluster_ops_removed_attrs
func.func @cluster_ops_removed_attrs() {

		bp.count += float64(rate)
		bp.cycles += rate * cycles
	} else {
		bp.count++
		bp.cycles += cycles
	}
	unlock(&profBlockLock)
}

var mutexprofilerate uint64 // fraction sampled

// SetMutexProfileFraction controls the fraction of mutex contention events
// that are reported in the mutex profile. On average 1/rate events are
// reported. The previous rate is returned.
//

	s.g = getg()

	s.timer = new(timer)
	f := func(s any, _ uintptr, _ int64) {
		s.(*scavengerState).wake()
	}
	s.timer.init(f, s)

	// input: fraction of CPU time actually used.
	// setpoint: ideal CPU fraction.
	// output: ratio of time worked to time slept (determines sleep time).
	//
	// The output of this controller is somewhat indirect to what we actually

			}
		}
	}

	if neg {
		w--
		buf[w] = '-'
	}

	return w
}

// fmtFrac formats the fraction of v/10**prec (e.g., ".12345") into the
// tail of buf, omitting trailing zeros. It omits the decimal
// point too when the fraction is 0. It returns the index where the
// output bytes begin and the value v/10**prec.
func fmtFrac(buf []byte, v uint64, prec int) (nw int, nv uint64) {

  return
}
```
### `-tf-device-assignment-by-func-attr`

_Device assignment in TF dialect using the device specified in the function attribute._

### `-tf-device-cluster-formation`

_Form clusters from instructions assigned to same device_

Clusters operations with the same device assignment id. For each
cluster, creates a "tf_device.device_launch" op with a Region containing the

  //
  // Examples: custom-pilot, docker.io/someuser:custom-pilot
  string image = 6;

  // Trace sampling fraction.
  //
  // Used to set the fraction of time that traces are sampled. Higher values are more accurate but add CPU overhead.
  //
  // Allowed values: 0.0 to 1.0
  double traceSampling = 8;

  // K8s resources settings.
  //

		case token.INT, token.FLOAT, token.IMAG:
			check.langCompat(e)
			// The max. mantissa precision for untyped numeric values
			// is 512 bits, or 4048 bits for each of the two integer
			// parts of a fraction for floating-point numbers that are
			// represented accurately in the go/constant package.
			// Constant literals that are longer than this many bits
			// are not meaningful; and excessively long constants may