&histogram_output));
    if (num_bins > 0) {
      const float min_value = min_output->scalar<float>()();
      const float max_value = max_output->scalar<float>()();
      CalculateHistogramStatistics(context, input_tensor, min_value, max_value,
                                   num_bins, histogram_output);
    }
  }

 private:
  std::string id_;

// number of bins might be smaller than the given `num_bins`.
inline float CalculateBinWidth(const float min_value, const float max_value,
                               const int32_t num_bins) {
  const float raw_bin_width = (max_value - min_value) / num_bins;
  return std::pow(2, std::ceil(std::log2(raw_bin_width)));
}

// Calculates the lower bound of the histogram. The lower bound is in form of

    List<long[]> ordered =
        Arrays.asList(
            new long[] {},
            new long[] {MIN_VALUE},
            new long[] {MIN_VALUE, MIN_VALUE},
            new long[] {MIN_VALUE, (long) 1},
            new long[] {(long) 1},
            new long[] {(long) 1, MIN_VALUE},
            new long[] {MAX_VALUE, MAX_VALUE - (long) 1},
            new long[] {MAX_VALUE, MAX_VALUE},

   *
   * <p>Instead of throwing {@link ArithmeticException}, this method silently saturates to either
   * {@link Long#MAX_VALUE} or {@link Long#MIN_VALUE}. This behavior can be useful when decomposing
   * a duration in order to call a legacy API which requires a {@code long, TimeUnit} pair.
   */
  @SuppressWarnings({

        new OperationIdentifier(-1).getId() == -1
        new OperationIdentifier(1).getId() == 1
        new OperationIdentifier(Long.MAX_VALUE).getId() == Long.MAX_VALUE
        new OperationIdentifier(Long.MIN_VALUE).getId() == Long.MIN_VALUE
    }

    def "disallows instantiation with a value of 0"() {
        when:
        new OperationIdentifier(0)

        then:
        thrown(IllegalArgumentException)
    }

        return Long.MAX_VALUE;
      }
      if (end < start && result > 0) { // underflow
        return Long.MIN_VALUE;
      }
      return result;
    }

    @Override
    public Long minValue() {
      return Long.MIN_VALUE;
    }

    @Override
    public Long maxValue() {
      return Long.MAX_VALUE;
    }

    private Object readResolve() {

  private static final double[] VALUES = {
    Double.NEGATIVE_INFINITY,
    -Double.MAX_VALUE,
    (double) Long.MIN_VALUE,
    (double) Integer.MIN_VALUE,
    -Math.PI,
    -1.0,
    -Double.MIN_VALUE,
    -0.0,
    +0.0,
    Double.MIN_VALUE,
    1.0,
    Math.PI,
    (double) Integer.MAX_VALUE,
    (double) Long.MAX_VALUE,
    Double.MAX_VALUE,
    Double.POSITIVE_INFINITY,

        0x1000            | -1
        Integer.MAX_VALUE | -1
        Long.MAX_VALUE    | -1
        Long.MAX_VALUE    | -0xc3412
        Integer.MAX_VALUE | Integer.MIN_VALUE
        Long.MAX_VALUE    | Long.MIN_VALUE
    }

    def "decode fails when small long cannot be fully read"() {
        given:
        def bytes = truncate { Encoder encoder ->
            encoder.writeSmallLong(0xa40745f)

        "byte[]"                             | "[Byte.MIN_VALUE, Byte.MAX_VALUE]"        | "[-128, 127]"
        "short[]"                            | "[Short.MIN_VALUE, Short.MAX_VALUE]"      | "[-32768, 32767]"
        "int[]"                              | integerArray()                            | "[-2147483648, 2147483647]"

    List<long[]> ordered =
        Arrays.asList(
            new long[] {},
            new long[] {MIN_VALUE},
            new long[] {MIN_VALUE, MIN_VALUE},
            new long[] {MIN_VALUE, (long) 1},
            new long[] {(long) 1},
            new long[] {(long) 1, MIN_VALUE},
            new long[] {MAX_VALUE, MAX_VALUE - (long) 1},
            new long[] {MAX_VALUE, MAX_VALUE},