for k := range fv.Options {
		namespace := k
		if parts := strings.SplitN(k, "/", 2); len(parts) == 2 {
			namespace = parts[0]
		}
		normalized := "." + strings.ToLower(namespace)
		if strings.HasSuffix(normalized, ".kubernetes.io") || strings.HasSuffix(normalized, ".k8s.io") {
			allErrs = append(allErrs, field.Invalid(fldPath.Child("options").Key(k), k, "kubernetes.io and k8s.io namespaces are reserved"))
		}
	}

    // Compute the total number of integer steps and convert to the HLO
    // dimension tensor.
    auto normalized =
        rewriter.create<mhlo::DivOp>(op.getLoc(), abs_cast, delta_cast);
    auto ceil = rewriter.create<mhlo::CeilOp>(op.getLoc(), normalized);
    auto steps = rewriter.create<mhlo::ConvertOp>(
        op.getLoc(),