}

table DivOptions {
  fused_activation_function:ActivationFunctionType;
}

table TopKV2Options {
}

enum CombinerType : byte {
  SUM = 0,
  MEAN = 1,
  SQRTN = 2,
}

table EmbeddingLookupSparseOptions {
  combiner:CombinerType;
}

table GatherOptions {
  axis: int;
  // Parameters for Gather version 5 or above.
  batch_dims: int = 0;
}

// example tf.Sub operation.
template <typename ConcreteType>
class CwiseBinary : public TraitBase<ConcreteType, CwiseBinary> {};

// Coefficient-wise unary operation, for example tf.Sqrt operation.
template <typename ConcreteType>
class CwiseUnary : public TraitBase<ConcreteType, CwiseUnary> {};

namespace detail {

inline LogicalResult verifyIsIdempotent(Operation* op) {

 *
 * <pre>{@code
 * public static double sqrt(double value) {
 *   if (value < 0) {
 *     throw new IllegalArgumentException("input is negative: " + value);
 *   }
 *   // calculate square root
 * }
 * }</pre>
 *
 * <p>to be replaced with the more compact
 *
 * <pre>{@code
 * public static double sqrt(double value) {
 *   checkArgument(value >= 0, "input is negative: %s", value);

   *
   * @throws IllegalStateException if the dataset is empty
   */
  public double populationStandardDeviation() {
    return Math.sqrt(populationVariance());
  }

  /**
   * Returns the <a href="http://en.wikipedia.org/wiki/Variance#Sample_variance">unbiased sample

(Div64F x (Const64F <t> [c])) && reciprocalExact64(c) => (Mul64F x (Const64F <t> [1/c]))

// rewrite single-precision sqrt expression "float32(math.Sqrt(float64(x)))"
(Cvt64Fto32F sqrt0:(Sqrt (Cvt32Fto64F x))) && sqrt0.Uses==1 => (Sqrt32 x)

(Sqrt (Const64F [c])) && !math.IsNaN(math.Sqrt(c)) => (Const64F [math.Sqrt(c)])

// for rewriting results of some late-expanded rewrites (below)
(SelectN [0] (MakeResult x ___)) => x

    (TF_ConstOp
      (GetScalarOfType<0> $res)
    ),
    /*keep_dims=*/
    ConstBoolAttrFalse
  )>;

//===----------------------------------------------------------------------===//
// Sqrt op patterns.
//===----------------------------------------------------------------------===//

// SqrtGrad(y, dy) = dy * 0.5 / y
def LowerSqrtGradOp : Pat<
  (TF_SqrtGradOp $y, $dy),
  (TF_DivOp

		{name: "FSQRTS", argLength: 1, reg: fp11, asm: "FSQRTS", typ: "Float32"},                                                            // sqrt(arg0)
		{name: "FNEGS", argLength: 1, reg: fp11, asm: "FNEGS", typ: "Float32"},                                                              // -arg0

//
// The pattern lower FusedBatchNormV3 to arithmetic ops.
// Specifically, performs the following calculation:
//
//   (x - mean) * scale / sqrt(variance + epsilon) + offset
//
// Let multiplier = scale / sqrt(variance + epsilon),
// to compute
//   (x - mean) * scale / sqrt(variance + epsilon) + offset,
// is then to compute
//   (x * multiplier) + (offset - mean * multiplier).
//
// def : Pattern<

   * Map<String, Integer> map = ImmutableMap.of("a", 4, "b", 9);
   * Function<Integer, Double> sqrt =
   *     new Function<Integer, Double>() {
   *       public Double apply(Integer in) {
   *         return Math.sqrt((int) in);
   *       }
   *     };
   * Map<String, Double> transformed = Maps.transformValues(map, sqrt);
   * System.out.println(transformed);
   * }</pre>
   *

   * Map<String, Integer> map = ImmutableMap.of("a", 4, "b", 9);
   * Function<Integer, Double> sqrt =
   *     new Function<Integer, Double>() {
   *       public Double apply(Integer in) {
   *         return Math.sqrt((int) in);
   *       }
   *     };
   * Map<String, Double> transformed = Maps.transformValues(map, sqrt);
   * System.out.println(transformed);
   * }</pre>
   *