protected CommonSettings.MemoryStorageFormat chooseStorageFormat(
      LeafReader reader,
      PackedLongValues values,
      Ordinals build,
      RandomAccessOrds ordinals,
      long minValue,
      long maxValue,
      float acceptableOverheadRatio,
      int pageSize) {

    CommonSettings.MemoryStorageFormat format;

    // estimate memory usage for a single packed array
    long packedDelta = maxValue - minValue + 1; // allow for a missing value
    // valuesDelta can be negative if the difference between max and min values overflows the
    // positive side of longs.
    int bitsRequired = packedDelta < 0 ? 64 : PackedInts.bitsRequired(packedDelta);
    PackedInts.FormatAndBits formatAndBits =
        PackedInts.fastestFormatAndBits(reader.maxDoc(), bitsRequired, acceptableOverheadRatio);
    final long singleValuesSize =
        formatAndBits.format.longCount(
                PackedInts.VERSION_CURRENT, reader.maxDoc(), formatAndBits.bitsPerValue)
            * 8L;

    // ordinal memory usage
    final long ordinalsSize = build.ramBytesUsed() + values.ramBytesUsed();

    // estimate the memory signature of paged packing
    long pagedSingleValuesSize =
        (reader.maxDoc() / pageSize + 1) * RamUsageEstimator.NUM_BYTES_OBJECT_REF; // array of pages
    int pageIndex = 0;
    long pageMinOrdinal = Long.MAX_VALUE;
    long pageMaxOrdinal = Long.MIN_VALUE;
    for (int i = 1; i < reader.maxDoc(); ++i, pageIndex = (pageIndex + 1) % pageSize) {
      ordinals.setDocument(i);
      if (ordinals.cardinality() > 0) {
        long ordinal = ordinals.ordAt(0);
        pageMaxOrdinal = Math.max(ordinal, pageMaxOrdinal);
        pageMinOrdinal = Math.min(ordinal, pageMinOrdinal);
      }
      if (pageIndex == pageSize - 1) {
        // end of page, we now know enough to estimate memory usage
        pagedSingleValuesSize +=
            getPageMemoryUsage(
                values, acceptableOverheadRatio, pageSize, pageMinOrdinal, pageMaxOrdinal);

        pageMinOrdinal = Long.MAX_VALUE;
        pageMaxOrdinal = Long.MIN_VALUE;
      }
    }

    if (pageIndex > 0) {
      // last page estimation
      pageIndex++;
      pagedSingleValuesSize +=
          getPageMemoryUsage(
              values, acceptableOverheadRatio, pageSize, pageMinOrdinal, pageMaxOrdinal);
    }

    if (ordinalsSize < singleValuesSize) {
      if (ordinalsSize < pagedSingleValuesSize) {
        format = CommonSettings.MemoryStorageFormat.ORDINALS;
      } else {
        format = CommonSettings.MemoryStorageFormat.PAGED;
      }
    } else {
      if (pagedSingleValuesSize < singleValuesSize) {
        format = CommonSettings.MemoryStorageFormat.PAGED;
      } else {
        format = CommonSettings.MemoryStorageFormat.PACKED;
      }
    }
    return format;
  }
  @Override
  public AtomicNumericFieldData loadDirect(LeafReaderContext context) throws Exception {
    final LeafReader reader = context.reader();
    Terms terms = reader.terms(getFieldNames().indexName());
    AtomicNumericFieldData data = null;
    PackedArrayEstimator estimator =
        new PackedArrayEstimator(
            breakerService.getBreaker(CircuitBreaker.FIELDDATA),
            getNumericType(),
            getFieldNames().fullName());
    if (terms == null) {
      data = AtomicLongFieldData.empty(reader.maxDoc());
      estimator.adjustForNoTerms(data.ramBytesUsed());
      return data;
    }
    // TODO: how can we guess the number of terms? numerics end up creating more terms per value...
    // Lucene encodes numeric data so that the lexicographical (encoded) order matches the integer
    // order so we know the sequence of
    // longs is going to be monotonically increasing
    final PackedLongValues.Builder valuesBuilder =
        PackedLongValues.monotonicBuilder(PackedInts.COMPACT);

    final float acceptableTransientOverheadRatio =
        fieldDataType
            .getSettings()
            .getAsFloat(
                "acceptable_transient_overhead_ratio",
                OrdinalsBuilder.DEFAULT_ACCEPTABLE_OVERHEAD_RATIO);
    TermsEnum termsEnum = estimator.beforeLoad(terms);
    assert !getNumericType().isFloatingPoint();
    boolean success = false;
    try (OrdinalsBuilder builder =
        new OrdinalsBuilder(-1, reader.maxDoc(), acceptableTransientOverheadRatio)) {
      BytesRefIterator iter = builder.buildFromTerms(termsEnum);
      BytesRef term;
      while ((term = iter.next()) != null) {
        final long value = numericType.toLong(term);
        valuesBuilder.add(value);
      }
      final PackedLongValues values = valuesBuilder.build();
      final Ordinals build = builder.build(fieldDataType.getSettings());
      CommonSettings.MemoryStorageFormat formatHint =
          CommonSettings.getMemoryStorageHint(fieldDataType);

      RandomAccessOrds ordinals = build.ordinals();
      if (FieldData.isMultiValued(ordinals)
          || formatHint == CommonSettings.MemoryStorageFormat.ORDINALS) {
        final long ramBytesUsed = build.ramBytesUsed() + values.ramBytesUsed();
        data =
            new AtomicLongFieldData(ramBytesUsed) {

              @Override
              public SortedNumericDocValues getLongValues() {
                return withOrdinals(build, values, reader.maxDoc());
              }

              @Override
              public Collection<Accountable> getChildResources() {
                List<Accountable> resources = new ArrayList<>();
                resources.add(Accountables.namedAccountable("ordinals", build));
                resources.add(Accountables.namedAccountable("values", values));
                return Collections.unmodifiableList(resources);
              }
            };
      } else {
        final BitSet docsWithValues = builder.buildDocsWithValuesSet();

        long minV, maxV;
        minV = maxV = 0;
        if (values.size() > 0) {
          minV = values.get(0);
          maxV = values.get(values.size() - 1);
        }

        final float acceptableOverheadRatio =
            fieldDataType.getSettings().getAsFloat("acceptable_overhead_ratio", PackedInts.DEFAULT);
        final int pageSize = fieldDataType.getSettings().getAsInt("single_value_page_size", 1024);

        if (formatHint == null) {
          formatHint =
              chooseStorageFormat(
                  reader, values, build, ordinals, minV, maxV, acceptableOverheadRatio, pageSize);
        }

        logger.trace(
            "single value format for field [{}] set to [{}]",
            getFieldNames().fullName(),
            formatHint);

        switch (formatHint) {
          case PACKED:
            // Encode document without a value with a special value
            long missingV = 0;
            if (docsWithValues != null) {
              if ((maxV - minV + 1) == values.size()) {
                // values are dense
                if (minV > Long.MIN_VALUE) {
                  missingV = --minV;
                } else {
                  assert maxV != Long.MAX_VALUE;
                  missingV = ++maxV;
                }
              } else {
                for (long i = 1; i < values.size(); ++i) {
                  if (values.get(i) > values.get(i - 1) + 1) {
                    missingV = values.get(i - 1) + 1;
                    break;
                  }
                }
              }
              missingV -= minV;
            }
            final long missingValue = missingV;
            final long minValue = minV;
            final long maxValue = maxV;

            final long valuesDelta = maxValue - minValue;
            int bitsRequired = valuesDelta < 0 ? 64 : PackedInts.bitsRequired(valuesDelta);
            final PackedInts.Mutable sValues =
                PackedInts.getMutable(reader.maxDoc(), bitsRequired, acceptableOverheadRatio);

            if (docsWithValues != null) {
              sValues.fill(0, sValues.size(), missingV);
            }

            for (int i = 0; i < reader.maxDoc(); i++) {
              ordinals.setDocument(i);
              if (ordinals.cardinality() > 0) {
                final long ord = ordinals.ordAt(0);
                long value = values.get(ord);
                sValues.set(i, value - minValue);
              }
            }
            long ramBytesUsed =
                values.ramBytesUsed()
                    + (docsWithValues == null ? 0 : docsWithValues.ramBytesUsed());
            data =
                new AtomicLongFieldData(ramBytesUsed) {

                  @Override
                  public SortedNumericDocValues getLongValues() {
                    if (docsWithValues == null) {
                      return singles(sValues, minValue);
                    } else {
                      return sparseSingles(sValues, minValue, missingValue, reader.maxDoc());
                    }
                  }

                  @Override
                  public Collection<Accountable> getChildResources() {
                    List<Accountable> resources = new ArrayList<>();
                    resources.add(Accountables.namedAccountable("values", sValues));
                    if (docsWithValues != null) {
                      resources.add(
                          Accountables.namedAccountable("missing bitset", docsWithValues));
                    }
                    return Collections.unmodifiableList(resources);
                  }
                };
            break;
          case PAGED:
            final PackedLongValues.Builder dpValues =
                PackedLongValues.deltaPackedBuilder(pageSize, acceptableOverheadRatio);

            long lastValue = 0;
            for (int i = 0; i < reader.maxDoc(); i++) {
              ordinals.setDocument(i);
              if (ordinals.cardinality() > 0) {
                final long ord = ordinals.ordAt(i);
                lastValue = values.get(ord);
              }
              dpValues.add(lastValue);
            }
            final PackedLongValues pagedValues = dpValues.build();
            ramBytesUsed = pagedValues.ramBytesUsed();
            if (docsWithValues != null) {
              ramBytesUsed += docsWithValues.ramBytesUsed();
            }
            data =
                new AtomicLongFieldData(ramBytesUsed) {

                  @Override
                  public SortedNumericDocValues getLongValues() {
                    return pagedSingles(pagedValues, docsWithValues);
                  }

                  @Override
                  public Collection<Accountable> getChildResources() {
                    List<Accountable> resources = new ArrayList<>();
                    resources.add(Accountables.namedAccountable("values", pagedValues));
                    if (docsWithValues != null) {
                      resources.add(
                          Accountables.namedAccountable("missing bitset", docsWithValues));
                    }
                    return Collections.unmodifiableList(resources);
                  }
                };
            break;
          case ORDINALS:
            ramBytesUsed = build.ramBytesUsed() + values.ramBytesUsed();
            data =
                new AtomicLongFieldData(ramBytesUsed) {

                  @Override
                  public SortedNumericDocValues getLongValues() {
                    return withOrdinals(build, values, reader.maxDoc());
                  }

                  @Override
                  public Collection<Accountable> getChildResources() {
                    List<Accountable> resources = new ArrayList<>();
                    resources.add(Accountables.namedAccountable("ordinals", build));
                    resources.add(Accountables.namedAccountable("values", values));
                    return Collections.unmodifiableList(resources);
                  }
                };
            break;
          default:
            throw new ElasticsearchException("unknown memory format: " + formatHint);
        }
      }

      success = true;
      return data;
    } finally {
      if (!success) {
        // If something went wrong, unwind any current estimations we've made
        estimator.afterLoad(termsEnum, 0);
      } else {
        // Adjust as usual, based on the actual size of the field data
        estimator.afterLoad(termsEnum, data.ramBytesUsed());
      }
    }
  }