xiangfu0 commented on code in PR #19795:
URL: https://github.com/apache/pinot/pull/19795#discussion_r4242895154


##########
pinot-segment-local/src/main/java/org/apache/pinot/segment/local/customobject/tdigest/PercentileTDigestAccumulator.java:
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@@ -0,0 +1,1722 @@
+/**
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Portions of the CDF, quantile, weighted-average and K1 weight-limit 
implementation are adapted from
+ * MergingDigest, AbstractTDigest and ScaleFunction in t-digest 3.3 
(https://github.com/tdunning/t-digest).
+ * Modified for Pinot's primitive centroid storage, lazy serialized inputs and 
legacy boundary handling.
+ * Original license notice for these portions:
+ *
+ * Licensed to Ted Dunning under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.pinot.segment.local.customobject.tdigest;
+
+import java.nio.ByteBuffer;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collection;
+import java.util.List;
+import 
org.apache.pinot.segment.local.customobject.tdigest.TDigestCodec.SerializedTDigestMetadata;
+
+
+
+/// Accumulates raw values and serialized TDigests into primitive centroids 
using Pinot's K1 weight-limit rule.
+///
+/// Raw values are sorted in small batches; serialized centroids retain their 
existing sorted order. Both are
+/// linearly merged with accumulated centroids. K1 preserves Pinot's existing 
middle-quantile behavior, and the
+/// legacy verbose and small encodings preserve stored data and mixed-version 
wire compatibility.
+///
+/// Serialized state keeps its first digest pending and allocates centroid 
buffers only when another input must be
+/// merged or the digest is queried. Raw-value buffers remain unallocated 
until a raw value is added.
+///
+/// Historical corrupted payloads remain opaque and byte-exact, with NaN 
statistics. Their reported historical mass
+/// may be invalid; they cannot be mutated or mixed with another distribution. 
Such an operation fails before
+/// changing aggregate mass, because neither invented statistics nor synthetic 
NaN bytes are safe for old readers.
+/// Unchanged historical fractional boundaries retain their original bytes, 
including when configured compression
+/// differs. After a merge, inherited fractional endpoints retain precise 
verbose weights and finite statistics when
+/// unit endpoints cannot preserve their mass. These keep the historical 
t-digest 3.3 assertion-enabled reader and
+/// recompression limitation. Newly introduced unsupported fractional 
endpoints are rejected.
+///
+/// Instances are externally serialized per aggregation or group key and are 
not safe for concurrent mutation.
+public final class PercentileTDigestAccumulator extends TDigest {
+  private static final int MIN_RAW_BUFFER_SIZE = 256;
+  private static final int MAX_RAW_BUFFER_SIZE = 10_000;
+  private static final int TWO_LEVEL_COMPRESSION_MULTIPLIER = 2;
+  private static final int MIN_INCREMENTAL_COMPRESSION = 50;
+
+  private final double _compression;
+  private final boolean _useTwoLevelRawCompression;
+  private final double _workingCompression;
+  private final double _publicMaxWeightScale;
+  private final double _workingMaxWeightScale;
+  private final int _centroidCapacity;
+  private final int _pendingCentroidCapacity;
+  private double[] _rawValues;
+  private double[] _centroidMeans;
+  private double[] _centroidWeights;
+  private double[] _outputMeans;
+  private double[] _outputWeights;
+  private double[] _incomingMeans;
+  private double[] _incomingWeights;
+  private double[] _sortedIncomingMeans;
+  private double[] _sortedIncomingWeights;
+  private SerializedTDigestInput _serializedTDigestInput;
+  private byte[] _pendingSerializedTDigest;
+  private byte[] _originalFractionalBytes;
+  private byte[] _originalBoundaryBytes;
+  private double _historicalFractionalMinMean = Double.NaN;
+  private double _historicalFractionalMaxMean = Double.NaN;
+  private double _freshFractionalMinMean = Double.NaN;
+  private double _freshFractionalMaxMean = Double.NaN;
+  private SerializedTDigestMetadata _pendingSerializedMetadata;
+  private boolean _legacyDegraded;
+  private boolean _hasFractionalWeights;
+  private boolean _deferBoundaryNormalization;
+
+  private int _numRawValues;
+  private int _numCentroids;
+  private int _numIncomingCentroids;
+  private int _mergeCount;
+  private boolean _publiclyCompressed;
+  private boolean _incomingCentroidsSorted = true;
+  private double _totalWeight;
+  private double _incomingWeight;
+  private double _min = Double.POSITIVE_INFINITY;
+  private double _max = Double.NEGATIVE_INFINITY;
+
+  public PercentileTDigestAccumulator(int compression) {
+    this((double) compression, true, true);
+  }
+
+  public PercentileTDigestAccumulator(double compression) {
+    this(compression, true, true);
+  }
+
+  private PercentileTDigestAccumulator(double compression, boolean 
allocateRawBuffer, boolean allocateMergeBuffers) {
+    this(compression, allocateRawBuffer, allocateMergeBuffers, false);
+  }
+
+  private PercentileTDigestAccumulator(double compression, boolean 
allocateRawBuffer, boolean allocateMergeBuffers,
+      boolean useTwoLevelRawCompression) {
+    _compression = TDigestCodec.normalizeCompression(compression);
+    _useTwoLevelRawCompression = useTwoLevelRawCompression;
+    _workingCompression = TWO_LEVEL_COMPRESSION_MULTIPLIER * _compression;
+    _publicMaxWeightScale = calculateK1MaxWeightScale(_compression);
+    _workingMaxWeightScale = calculateK1MaxWeightScale(_workingCompression);
+    long roundedCompression = (long) Math.ceil(_compression);
+    _centroidCapacity = TDigestCodec.getDefaultCentroidCapacity(_compression);
+    _pendingCentroidCapacity = getPendingCentroidCapacity(_centroidCapacity, 
useTwoLevelRawCompression);
+    if (allocateRawBuffer) {
+      _rawValues = new double[getInitialRawBufferSize(roundedCompression)];
+    }
+    if (allocateMergeBuffers) {
+      int initialCapacity = Math.min(_centroidCapacity, MIN_RAW_BUFFER_SIZE);
+      _centroidMeans = new double[initialCapacity];
+      _centroidWeights = new double[initialCapacity];
+      _outputMeans = new double[initialCapacity];
+      _outputWeights = new double[initialCapacity];
+    }
+  }
+
+  /// Creates a lazy digest with the legacy two-level compression used by 
Star-tree and general digest aggregation.
+  public static PercentileTDigestAccumulator forLegacyAggregation(double 
compression) {
+    return new PercentileTDigestAccumulator(compression, false, false, true);
+  }
+
+  /// Reads and retains one legacy digest, preserving the general aggregation 
compression policy.
+  public static PercentileTDigestAccumulator fromBytes(byte[] bytes) {
+    return fromBytes(ByteBuffer.wrap(bytes));
+  }
+
+  /// Reads one payload and advances the buffer past it.
+  public static PercentileTDigestAccumulator fromBytes(ByteBuffer bytes) {
+    SerializedTDigestInput input = new SerializedTDigestInput();
+    input.reset(bytes);
+    return fromBytes(input);
+  }
+
+  /// Retains an already validated input without rescanning its centroid bytes.
+  public static PercentileTDigestAccumulator fromBytes(SerializedTDigestInput 
input) {
+    PercentileTDigestAccumulator digest = 
forLegacyAggregation(input.getCompression());
+    digest.addSerializedTDigest(input);
+    return digest;
+  }
+
+  public static PercentileTDigestAccumulator forReduction(double compression) {
+    return new PercentileTDigestAccumulator(compression, false, false);
+  }
+
+  /// Snapshots buffered inputs and centroid state without materializing or 
compressing the source. Mutable buffers
+  /// are copied; immutable retained bytes and metadata are shared. Merge and 
sort scratch buffers remain lazy.
+  PercentileTDigestAccumulator copy() {
+    PercentileTDigestAccumulator copy =
+        new PercentileTDigestAccumulator(_compression, false, false, 
_useTwoLevelRawCompression);
+    copy._rawValues = _rawValues != null ? _rawValues.clone() : null;
+    copy._centroidMeans = _numCentroids > 0 ? Arrays.copyOf(_centroidMeans, 
_numCentroids) : null;
+    copy._centroidWeights = _numCentroids > 0 ? 
Arrays.copyOf(_centroidWeights, _numCentroids) : null;
+    copy._incomingMeans = _numIncomingCentroids > 0 ? 
Arrays.copyOf(_incomingMeans, _numIncomingCentroids) : null;
+    copy._incomingWeights = _numIncomingCentroids > 0 ? 
Arrays.copyOf(_incomingWeights, _numIncomingCentroids) : null;
+    copy._pendingSerializedTDigest = _pendingSerializedTDigest;
+    copy._pendingSerializedMetadata = _pendingSerializedMetadata;
+    copy._originalFractionalBytes = _originalFractionalBytes;
+    copy._originalBoundaryBytes = _originalBoundaryBytes;
+    copy._historicalFractionalMinMean = _historicalFractionalMinMean;
+    copy._historicalFractionalMaxMean = _historicalFractionalMaxMean;
+    copy._freshFractionalMinMean = _freshFractionalMinMean;
+    copy._freshFractionalMaxMean = _freshFractionalMaxMean;
+    copy._legacyDegraded = _legacyDegraded;
+    copy._hasFractionalWeights = _hasFractionalWeights;
+    copy._deferBoundaryNormalization = _deferBoundaryNormalization;
+    copy._numRawValues = _numRawValues;
+    copy._numCentroids = _numCentroids;
+    copy._numIncomingCentroids = _numIncomingCentroids;
+    copy._mergeCount = _mergeCount;
+    copy._publiclyCompressed = _publiclyCompressed;
+    copy._incomingCentroidsSorted = _incomingCentroidsSorted;
+    copy._totalWeight = _totalWeight;
+    copy._incomingWeight = _incomingWeight;
+    copy._min = _min;
+    copy._max = _max;
+    return copy;
+  }
+
+  /// Copies primitive centroids without encoding and decoding them. Zero 
weights are ignored, and unordered
+  /// means are sorted when initializing a stored, already compressed 
distribution; caller arrays are not mutated.
+  /// Subsequent inputs use the normal buffered merge. Positive weights and 
consistent extrema are required.
+  public void addCentroids(double[] means, double[] weights, int count, double 
min, double max,
+      boolean alreadyCompressed) {
+    addCentroids(means, weights, count, min, max, alreadyCompressed, false);
+  }
+
+  /// Adds validated legacy centroids without marking their existing 
fractional mass as fresh input.
+  void addHistoricalCentroids(double[] means, double[] weights, int count, 
double min, double max,
+      boolean alreadyCompressed) {
+    addCentroids(means, weights, count, min, max, alreadyCompressed, true);
+  }
+
+  private void addCentroids(double[] means, double[] weights, int count, 
double min, double max,
+      boolean alreadyCompressed, boolean historical) {
+    requireMutable();
+    if (count < 0 || count > means.length || count > weights.length) {
+      throw new IllegalArgumentException("Invalid TDigest centroid count: " + 
count);
+    }
+    double totalWeight = 0.0;
+    int positiveCount = 0;
+    boolean sorted = true;
+    boolean fractionalWeights = false;
+    double previousMean = Double.NEGATIVE_INFINITY;
+    for (int i = 0; i < count; i++) {
+      double weight = weights[i];
+      if (weight == 0.0) {
+        continue;
+      }
+      double mean = means[i];
+      if (!(weight > 0.0) || !Double.isFinite(weight) || !(mean >= min && mean 
<= max)) {
+        throw new IllegalArgumentException("Invalid TDigest centroid");
+      }
+      totalWeight += weight;
+      sorted &= mean >= previousMean;
+      previousMean = mean;
+      fractionalWeights |= weight != Math.rint(weight);
+      positiveCount++;
+    }
+    checkTotalWeight(getTotalWeight() + totalWeight);
+    if (positiveCount == 0) {
+      return;
+    }
+    prepareForMutation();
+    _originalFractionalBytes = null;
+    _hasFractionalWeights |= fractionalWeights;
+    if (!historical && fractionalWeights) {
+      for (int i = 0; i < count; i++) {
+        recordFreshFractionalMean(means[i], weights[i]);
+      }
+    }
+    if (hasNoInputs() && alreadyCompressed) {
+      ensureCentroidCapacity(Math.addExact(positiveCount, 2));
+      for (int i = 0; i < count; i++) {
+        if (weights[i] > 0.0) {
+          _centroidMeans[_numCentroids] = means[i];
+          _centroidWeights[_numCentroids++] = weights[i];
+        }
+      }
+      if (!sorted) {
+        sortCentroids(_centroidMeans, _centroidWeights, _numCentroids);
+      }
+      _totalWeight = totalWeight;
+      _min = min;
+      _max = max;
+      if (!historical) {
+        normalizeBoundaryCentroids();
+      }
+      _publiclyCompressed = true;
+    } else {
+      if (sorted && positiveCount == count) {
+        bufferIncomingCentroids(means, weights, count, totalWeight, min, max);
+      } else {
+        // Caller-owned arrays are copied only when filtering or sorting is 
necessary.
+        double[] sortedMeans = new double[positiveCount];
+        double[] sortedWeights = new double[positiveCount];
+        int index = 0;
+        for (int i = 0; i < count; i++) {
+          if (weights[i] > 0.0) {
+            sortedMeans[index] = means[i];
+            sortedWeights[index++] = weights[i];
+          }
+        }
+        if (!sorted) {
+          sortCentroids(sortedMeans, sortedWeights, positiveCount);
+        }
+        bufferIncomingCentroids(sortedMeans, sortedWeights, positiveCount, 
totalWeight, min, max);
+      }
+      _min = Math.min(_min, min);
+      _max = Math.max(_max, max);
+    }
+  }
+
+  public void add(double[] values, int from, int toExclusive) {
+    if (from >= toExclusive) {
+      return;
+    }
+    requireMutable();
+    prepareForMutation();
+    while (from < toExclusive) {
+      ensureRawBuffer();
+      if (_numRawValues == _rawValues.length
+          || _numRawValues + _numIncomingCentroids == getPendingInputLimit()) {
+        flush();
+      }
+      int numValues = Math.min(toExclusive - from, Math.min(_rawValues.length 
- _numRawValues,
+          getPendingInputLimit() - _numRawValues - _numIncomingCentroids));
+      int rawOffset = _numRawValues;
+      for (int i = 0; i < numValues; i++) {
+        double value = values[from + i];
+        if (Double.isNaN(value)) {
+          throw new IllegalArgumentException("Cannot add NaN to t-digest");
+        }
+        _rawValues[rawOffset + i] = value;
+      }
+      _originalFractionalBytes = null;
+      from += numValues;
+      _numRawValues += numValues;
+      if (_numRawValues == _rawValues.length
+          && (!_useTwoLevelRawCompression || _rawValues.length == 
_pendingCentroidCapacity)
+          || _numRawValues + _numIncomingCentroids == getPendingInputLimit()) {
+        flush();
+      }
+    }
+  }
+
+  @Override
+  public void add(double value) {
+    if (Double.isNaN(value)) {
+      throw new IllegalArgumentException("Cannot add NaN to t-digest");
+    }
+    requireMutable();
+    prepareForMutation();
+    ensureRawBuffer();
+    if (_numRawValues == _rawValues.length
+        || _numRawValues + _numIncomingCentroids == getPendingInputLimit()) {
+      flush();
+    }
+    _originalFractionalBytes = null;
+    _rawValues[_numRawValues++] = value;
+  }
+
+  @Override
+  public void add(double value, double weight) {
+    if (weight == 1) {
+      add(value);
+      return;
+    }
+    if (Double.isNaN(value)) {
+      throw new IllegalArgumentException("Cannot add NaN to t-digest");
+    }
+    if (!(weight > 0.0) || !Double.isFinite(weight)) {
+      throw new IllegalArgumentException("TDigest weight must be positive: " + 
weight);
+    }
+    requireMutable();
+    prepareForMutation();
+    bufferIncomingCentroid(value, weight);
+    _originalFractionalBytes = null;
+    _hasFractionalWeights |= weight != Math.rint(weight);
+    recordFreshFractionalMean(value, weight);
+    _min = Math.min(_min, value);
+    _max = Math.max(_max, value);
+  }
+
+  @Override
+  public void add(TDigest other) {
+    if (other.hasValidStatistics() && other.getTotalWeight() == 0.0) {
+      return;
+    }
+    requireMutable();
+    if (other instanceof PercentileTDigestAccumulator) {
+      addAccumulator((PercentileTDigestAccumulator) other);
+      return;
+    }
+    if (other instanceof NonFiniteAwareTDigest) {
+      PercentileTDigestAccumulator finiteDigest = ((NonFiniteAwareTDigest) 
other).finiteDigestIfNoTails();
+      if (finiteDigest != null) {
+        addAccumulator(finiteDigest);
+        return;
+      }
+    }
+    if (!other.hasValidStatistics()) {
+      materializePendingSerializedTDigest();
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(ByteBuffer.wrap(other.serialize()), false);
+      addSerializedTDigest(input);
+      return;
+    }
+    double otherWeight = other.getTotalWeight();
+    checkTotalWeight(getTotalWeight() + otherWeight);
+    Collection<Centroid> centroids = other.centroids();
+    boolean wrapped = other instanceof NonFiniteAwareTDigest;
+    int capacity = wrapped ? Math.addExact(centroids.size(), 2) : 
centroids.size();
+    double[] means = new double[capacity];
+    double[] weights = new double[capacity];
+    int count = 0;
+    for (Centroid centroid : centroids) {
+      double weight = centroid.weight();
+      if (weight == 0.0) {
+        continue;
+      }
+      if (!(weight > 0.0) || !Double.isFinite(weight) || 
Double.isNaN(centroid.mean())) {
+        throw new IllegalArgumentException("Invalid TDigest centroid");
+      }
+      means[count] = centroid.mean();
+      weights[count++] = weight;
+    }
+    if (wrapped) {
+      count = normalizeSerializedBoundaries(means, weights, count, 
other.getMin(), other.getMax());
+    }
+    // Validate all generic centroids before changing the target, then use the 
same whole-source primitive path.
+    addCentroids(means, weights, count, other.getMin(), other.getMax(), false, 
wrapped);
+    inheritHistoricalFractionalBoundaries(other);
+  }
+
+  private void addAccumulator(PercentileTDigestAccumulator other) {
+    if (other == this) {
+      compress();
+      prepareForMutation();
+      if (_numCentroids == 0) {
+        return;
+      }
+      // Snapshot only self-merges; fresh fractional mass need not be 
representable by a legacy wire payload.
+      addHistoricalCentroids(Arrays.copyOf(_centroidMeans, _numCentroids),
+          Arrays.copyOf(_centroidWeights, _numCentroids), _numCentroids, _min, 
_max, false);
+      return;
+    }
+    if (_deferBoundaryNormalization && !other._deferBoundaryNormalization) {
+      other.prepareForMutation();
+    }
+    if (other._originalBoundaryBytes != null) {
+      if (getTotalWeight() != 0.0) {
+        throw unrepresentableBoundaryMutation();
+      }
+      addSerializedTDigest(other._originalBoundaryBytes);
+      return;
+    }
+    if (other._originalFractionalBytes != null && getTotalWeight() == 0.0) {
+      materializePendingSerializedTDigest();
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(other._originalFractionalBytes);
+      input._retainedBytes = other._originalFractionalBytes;
+      addSerializedTDigest(input);
+      return;
+    }
+    if (other._pendingSerializedTDigest != null) {
+      // Materialize before resetting the reusable reader: materialization 
uses that same reader.
+      materializePendingSerializedTDigest();
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(other._pendingSerializedTDigest, 
other._pendingSerializedMetadata);
+      input._retainedBytes = other._pendingSerializedTDigest;
+      addSerializedTDigest(input);
+      return;
+    }
+    if (other._legacyDegraded) {
+      addSerializedTDigest(other.serialize());
+      return;
+    }
+
+    // MergingDigest compressed merge sources in place. Aggregation owns these 
mutable inputs exclusively.
+    other.compress();
+    other.prepareForMutation();
+    prepareForMutation();
+    checkTotalWeight(_totalWeight + _incomingWeight + _numRawValues + 
other._totalWeight);
+    _hasFractionalWeights |= other._hasFractionalWeights;
+    inheritHistoricalFractionalBoundaries(other);
+    bufferIncomingCentroids(other._centroidMeans, other._centroidWeights, 
other._numCentroids, other._totalWeight,
+        other._min, other._max);
+    if (other._totalWeight > 0.0) {
+      _originalFractionalBytes = null;
+    }
+    _min = Math.min(_min, other._min);
+    _max = Math.max(_max, other._max);
+  }
+
+  public void addSerializedTDigest(byte[] bytes) {
+    if (_legacyDegraded || _originalBoundaryBytes != null) {
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(bytes);
+      addSerializedTDigest(input);
+      return;
+    }
+    requireMutable();
+    materializePendingSerializedTDigest();
+    SerializedTDigestInput input = getSerializedTDigestInput();
+    input.reset(bytes);
+    addSerializedTDigest(input);
+  }
+
+  private SerializedTDigestInput getSerializedTDigestInput() {
+    if (_serializedTDigestInput == null) {
+      _serializedTDigestInput = new SerializedTDigestInput();
+    }
+    return _serializedTDigestInput;
+  }
+
+  public void addSerializedTDigest(SerializedTDigestInput input) {
+    if (ignoreEmptyInputForDegradedState(input)) {
+      return;
+    }
+    requireMutable();
+    if (prepareSerializedTDigest(input)) {
+      mergeSerializedTDigest(input, false);
+    }
+  }
+
+  public void addSerializedTDigestDirect(SerializedTDigestInput input) {
+    if (ignoreEmptyInputForDegradedState(input)) {
+      return;
+    }
+    requireMutable();
+    if (prepareSerializedTDigest(input)) {
+      mergeSerializedTDigest(input, true);
+    }
+  }
+
+  private boolean ignoreEmptyInputForDegradedState(SerializedTDigestInput 
input) {
+    if (!_legacyDegraded && _originalBoundaryBytes == null
+        && (_pendingSerializedMetadata == null || 
!_pendingSerializedMetadata.weightedBoundaries())) {
+      return false;
+    }
+    input.inspectMetadata();
+    return !input._metadata._needsLegacyFallback && 
input._metadata._totalWeight == 0.0;
+  }
+
+  private boolean prepareSerializedTDigest(SerializedTDigestInput input) {
+    if (_pendingSerializedTDigest == null && hasNoInputs()) {
+      input.inspectMetadata();
+      _hasFractionalWeights |= input._metadata._fractionalWeights;
+      _pendingSerializedTDigest = input.retainBytes();
+      _pendingSerializedMetadata = input.getMetadata();
+      if (input.recordHistoricalFractionalBoundaries(this)) {
+        // Alias the retained snapshot; historical fractional bytes remain 
byte-exact after read-only materialization.
+        _originalFractionalBytes = _pendingSerializedTDigest;
+      }
+      if (input._metadata._needsLegacyFallback) {
+        _legacyDegraded = true;
+      }
+      return false;
+    }
+    materializePendingSerializedTDigest();
+    input.decode();
+    if (input._metadata._needsLegacyFallback) {
+      if (hasNoInputs()) {
+        _pendingSerializedTDigest = input.retainBytes();
+        _pendingSerializedMetadata = input.getMetadata();
+        _legacyDegraded = true;
+        return false;
+      }
+      throw corruptedMutation();
+    }
+    if (!_deferBoundaryNormalization) {
+      input.normalizeBoundaries();
+    }
+    prepareForMutation();
+    checkTotalWeight(_totalWeight + _incomingWeight + _numRawValues + 
input._metadata._totalWeight);
+    input.recordHistoricalFractionalBoundaries(this);
+    if (input._metadata._totalWeight > 0.0) {
+      _originalFractionalBytes = null;
+    }
+    _hasFractionalWeights |= input._metadata._fractionalWeights;
+    return true;
+  }
+
+  private boolean hasNoInputs() {
+    return _numCentroids == 0 && _totalWeight == 0.0 && _numRawValues == 0 && 
_numIncomingCentroids == 0;
+  }
+
+  private void mergeSerializedTDigest(SerializedTDigestInput input, boolean 
direct) {
+    if (input._metadata._totalWeight == 0.0) {
+      return;
+    }
+    if (hasNoInputs()) {
+      if (input._metadata._totalWeight != 0.0) {
+        ensureCentroidCapacity(input._numCentroids);
+        System.arraycopy(input._means, 0, _centroidMeans, 0, 
input._numCentroids);
+        System.arraycopy(input._weights, 0, _centroidWeights, 0, 
input._numCentroids);
+        _numCentroids = input._numCentroids;
+        _totalWeight = input._metadata._totalWeight;
+        _min = input._metadata._min;
+        _max = input._metadata._max;
+        // Stored centroids already went through the writer's public 
compression. Reading or repairing their
+        // endpoints needs another K1 pass only when the output compression 
differs from the stored compression.
+        _publiclyCompressed = _compression == input._metadata._compression;
+      }
+      return;
+    }
+    if (direct) {
+      flush();
+      boolean runBackwards = (_mergeCount++ & 1) != 0;
+      if (!mergeSorted(input._means, input._weights, input._numCentroids, 
input._metadata._totalWeight,
+          getIncrementalCompression(), runBackwards)) {
+        return;
+      }
+    } else {
+      bufferIncomingCentroids(input._means, input._weights, 
input._numCentroids, input._metadata._totalWeight,
+          input._metadata._min, input._metadata._max);
+    }
+    _min = Math.min(_min, input._metadata._min);
+    _max = Math.max(_max, input._metadata._max);
+  }
+
+  @Override
+  public void compress() {
+    if (_legacyDegraded) {
+      return;
+    }
+    materializePendingSerializedTDigest();
+    if (_useTwoLevelRawCompression) {
+      // Public compression and serialization both retain the legacy working 
pass before final compression.
+      flush();
+    }
+    if (_numRawValues > 0 || _numIncomingCentroids > 0) {
+      // SQL reduction combines pending values and existing centroids directly 
at public compression, matching
+      // MergingDigest 3.3. Its writer avoids an extra working-compression 
pass that can increase reducer rank error.
+      flush(_compression);
+      _publiclyCompressed = true;
+    } else if (!_publiclyCompressed && _numCentroids > 0) {
+      recompressCentroids(_compression);
+      _publiclyCompressed = true;
+    }
+  }
+
+  @Override
+  public boolean hasValidStatistics() {
+    return !_legacyDegraded;
+  }
+
+  @Override
+  public double getTotalWeight() {
+    return _pendingSerializedTDigest != null ? 
_pendingSerializedMetadata.totalWeight()
+        : _totalWeight + _incomingWeight + _numRawValues;
+  }
+
+  /// Bounds serialized output centroids from buffered inputs, including up to 
two boundary splits before a merge
+  /// and two more before writing, without flushing or using the potentially 
huge input mass.
+  public long getCentroidCountUpperBound() {
+    return _pendingSerializedTDigest != null ? (long) 
_pendingSerializedMetadata.centroidCount() + 4L
+        : (long) _numCentroids + _numRawValues + _numIncomingCentroids + 4L;
+  }
+
+  /// Whether unchanged historical fractional boundaries still require their 
original byte representation.
+  public boolean hasOriginalFractionalPayload() {
+    return _originalFractionalBytes != null;
+  }
+
+  @Override
+  public double cdf(double value) {
+    if (Double.isNaN(value) || Double.isInfinite(value)) {
+      throw new IllegalArgumentException(String.format("Invalid value: %f", 
value));
+    }
+    if (_legacyDegraded) {
+      return Double.NaN;
+    }
+    materializePendingSerializedTDigest();
+    flush();
+    if (_numCentroids == 0) {
+      return Double.NaN;
+    }
+    if (_numCentroids == 1) {
+      double width = _max - _min;
+      if (value < _min) {
+        return 0.0;
+      } else if (value > _max) {
+        return 1.0;
+      } else if (value - _min <= width) {
+        return 0.5;
+      } else {
+        return (value - _min) / width;
+      }
+    }
+    if (value < _min) {
+      return 0.0;
+    }
+    if (value > _max) {
+      return 1.0;
+    }
+    if (value < _centroidMeans[0]) {
+      double width = _centroidMeans[0] - _min;
+      if (width > 0.0) {
+        if (_centroidWeights[0] < 1.0) {
+          return (_centroidWeights[0] / 2.0 * (value - _min) / width) / 
_totalWeight;
+        }
+        return value == _min ? 0.5 / _totalWeight
+            : (1.0 + (value - _min) / width * (_centroidWeights[0] / 2.0 - 
1.0)) / _totalWeight;
+      }
+      return 0.0;
+    }
+    int lastIndex = _numCentroids - 1;
+    if (value > _centroidMeans[lastIndex]) {
+      double width = _max - _centroidMeans[lastIndex];
+      if (width > 0.0) {
+        if (_centroidWeights[lastIndex] < 1.0) {
+          return 1.0 - (_centroidWeights[lastIndex] / 2.0 * (_max - value) / 
width) / _totalWeight;
+        }
+        return value == _max ? 1.0 - 0.5 / _totalWeight
+            : 1.0 - (1.0 + (_max - value) / width * 
(_centroidWeights[lastIndex] / 2.0 - 1.0))
+                / _totalWeight;
+      }
+      return 1.0;
+    }
+
+    double weightSoFar = 0.0;
+    for (int i = 0; i < lastIndex; i++) {
+      if (_centroidMeans[i] == value) {
+        double equalWeight = 0.0;
+        int equalIndex = i;
+        while (equalIndex < _numCentroids && _centroidMeans[equalIndex] == 
value) {
+          equalWeight += _centroidWeights[equalIndex];
+          equalIndex++;
+        }
+        return (weightSoFar + equalWeight / 2.0) / _totalWeight;
+      }
+      if (_centroidMeans[i] <= value && _centroidMeans[i + 1] > value) {
+        if (!Double.isFinite(_centroidMeans[i]) || 
!Double.isFinite(_centroidMeans[i + 1])) {
+          if (_centroidMeans[i] == Double.NEGATIVE_INFINITY) {
+            return (weightSoFar + _centroidWeights[i]) / _totalWeight;
+          }
+          if (_centroidWeights[i] == 1.0 && _centroidWeights[i + 1] == 1.0) {
+            return (weightSoFar + 1.0) / _totalWeight;
+          }
+          double leftExcludedWeight = _centroidWeights[i] == 1.0 ? 0.5 : 0.0;
+          double rightExcludedWeight = _centroidWeights[i + 1] == 1.0 ? 0.5 : 
0.0;
+          double interpolatedWeight = (_centroidWeights[i] + 
_centroidWeights[i + 1]) / 2.0
+              - leftExcludedWeight - rightExcludedWeight;
+          double base = weightSoFar + _centroidWeights[i] / 2.0 + 
leftExcludedWeight;
+          return (base + interpolatedWeight * (value - _centroidMeans[i])
+              / (_centroidMeans[i + 1] - _centroidMeans[i])) / _totalWeight;
+        }
+        double width = _centroidMeans[i + 1] - _centroidMeans[i];
+        if (width > 0.0) {
+          double leftExcludedWeight = getPointMassHalfWeight(i);
+          double rightExcludedWeight = getPointMassHalfWeight(i + 1);
+          double halfWeight = (_centroidWeights[i] + _centroidWeights[i + 1]) 
/ 2.0;
+          double interpolatedWeight = halfWeight - leftExcludedWeight - 
rightExcludedWeight;
+          double base = weightSoFar + _centroidWeights[i] / 2.0 + 
leftExcludedWeight;
+          return (base + interpolatedWeight * (value - _centroidMeans[i]) / 
width) / _totalWeight;
+        }
+        return (weightSoFar + (_centroidWeights[i] + _centroidWeights[i + 1]) 
/ 2.0) / _totalWeight;
+      }
+      weightSoFar += _centroidWeights[i];
+    }
+    if (value == _centroidMeans[lastIndex]) {
+      return 1.0 - Math.min(1.0, _centroidWeights[lastIndex]) / 2.0 / 
_totalWeight;
+    }
+    throw new IllegalStateException("Unable to compute TDigest CDF");
+  }
+
+  @Override
+  public double quantile(double quantile) {
+    if (Double.isNaN(quantile) || quantile < 0.0 || quantile > 1.0) {
+      throw new IllegalArgumentException("q should be in [0,1], got " + 
quantile);
+    }
+    if (_legacyDegraded) {
+      return Double.NaN;
+    }
+    materializePendingSerializedTDigest();
+    flush();
+    if (_numCentroids == 0) {
+      return Double.NaN;
+    }
+    if (_numCentroids == 1) {
+      return _centroidMeans[0];
+    }
+    if (quantile == 0.0) {
+      return _min;
+    }
+    if (quantile == 1.0) {
+      return _max;
+    }
+
+    double index = quantile * _totalWeight;
+    double firstWeight = _centroidWeights[0];
+    if (firstWeight < 1.0 && index < firstWeight / 2.0) {
+      return weightedAverage(_min, firstWeight / 2.0 - index, 
_centroidMeans[0], index);
+    }
+    if (firstWeight >= 1.0 && index < 1.0) {
+      return _min;
+    }
+    if (_centroidWeights[0] > 1.0 && index < _centroidWeights[0] / 2.0) {
+      return _min + (index - 1.0) / (_centroidWeights[0] / 2.0 - 1.0) * 
(_centroidMeans[0] - _min);
+    }
+    int lastIndex = _numCentroids - 1;
+    double lastWeight = _centroidWeights[lastIndex];
+    if (lastWeight < 1.0 && index >= _totalWeight - lastWeight / 2.0) {
+      return weightedAverage(_centroidMeans[lastIndex], _totalWeight - index, 
_max,
+          index - (_totalWeight - lastWeight / 2.0));
+    }
+    if (lastWeight >= 1.0 && index > _totalWeight - 1.0) {
+      return _max;
+    }
+    if (_centroidWeights[lastIndex] > 1.0
+        && _totalWeight - index <= _centroidWeights[lastIndex] / 2.0) {
+      return _max - (_totalWeight - index - 1.0) / 
(_centroidWeights[lastIndex] / 2.0 - 1.0)
+          * (_max - _centroidMeans[lastIndex]);
+    }
+
+    double weightSoFar = _centroidWeights[0] / 2.0;
+    for (int i = 0; i < lastIndex; i++) {
+      double halfWeight = (_centroidWeights[i] + _centroidWeights[i + 1]) / 
2.0;
+      if (weightSoFar + halfWeight > index) {
+        double leftExcludedWeight = getPointMassHalfWeight(i);
+        if (index - weightSoFar < leftExcludedWeight) {
+          return _centroidMeans[i];
+        }
+        double rightExcludedWeight = getPointMassHalfWeight(i + 1);
+        if (weightSoFar + halfWeight - index <= rightExcludedWeight) {
+          return _centroidMeans[i + 1];
+        }
+        double leftWeight = index - weightSoFar - leftExcludedWeight;
+        double rightWeight = weightSoFar + halfWeight - index - 
rightExcludedWeight;
+        return weightedAverage(_centroidMeans[i], rightWeight, 
_centroidMeans[i + 1], leftWeight);
+      }
+      weightSoFar += halfWeight;
+    }
+    double weightToMax = index - _totalWeight - _centroidWeights[lastIndex] / 
2.0;
+    double weightFromLastCentroid = _centroidWeights[lastIndex] / 2.0 - 
weightToMax;
+    return weightedAverage(_centroidMeans[lastIndex], weightToMax, _max, 
weightFromLastCentroid);
+  }
+
+  private double getPointMassHalfWeight(int index) {
+    // Adjacent equal means establish a repeated-value plateau. Keep its 
complete mass out of interpolation at
+    // either edge; an isolated weighted centroid still represents an unknown 
distribution around its mean.
+    double mean = _centroidMeans[index];
+    boolean pointMass = _centroidWeights[index] == 1.0 || index > 0 && 
_centroidMeans[index - 1] == mean

Review Comment:
   **Silent result change on pure reads of pre-existing stored digests.** The 
plateau rule here excludes the full mass of adjacent equal-mean centroids with 
weight > 1 from quantile/cdf interpolation, whereas t-digest 3.3 excludes only 
unit-weight singletons. This contradicts TDigestCodec's stated contract that 
pure reads retain the legacy centroids and interpolation, and it shifts results 
in regions *adjacent* to the plateau, not just inside it.
   
   Measured on a digest written by tdunning 3.3 from 100x0.0, 10000x5.0, 
100x10.0 (56 centroids, 42 adjacent equal-mean pairs with weight > 1), reading 
those exact stored bytes:
   - `quantile(0.009)`: 1.297 pre-PR -> 0.0 now; `quantile(0.01)`: 2.647 -> 1.35
   - `cdf` differs at 998/1001 probed points
   - Synthetic payload `[(w1,m0),(w3,m5),(w3,m5),(w1,m10)]`: `quantile(0.2)` 
2.0 -> 5.0, `cdf(4.999)` 0.3125 -> 0.125
   
   The new rule may well be a deliberate accuracy improvement for 
repeated-value plateaus (it is test-pinned), but it changes live query answers 
on historical segments with no migration note. At minimum this deserves an 
explicit callout in the PR description/release notes; if strict read-parity on 
stored bytes is the contract, the plateau rule should apply only to digests 
built by the new writer.



##########
pinot-segment-local/src/main/java/org/apache/pinot/segment/local/customobject/tdigest/PercentileTDigestAccumulator.java:
##########
@@ -0,0 +1,1722 @@
+/**
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Portions of the CDF, quantile, weighted-average and K1 weight-limit 
implementation are adapted from
+ * MergingDigest, AbstractTDigest and ScaleFunction in t-digest 3.3 
(https://github.com/tdunning/t-digest).
+ * Modified for Pinot's primitive centroid storage, lazy serialized inputs and 
legacy boundary handling.
+ * Original license notice for these portions:
+ *
+ * Licensed to Ted Dunning under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.pinot.segment.local.customobject.tdigest;
+
+import java.nio.ByteBuffer;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collection;
+import java.util.List;
+import 
org.apache.pinot.segment.local.customobject.tdigest.TDigestCodec.SerializedTDigestMetadata;
+
+
+
+/// Accumulates raw values and serialized TDigests into primitive centroids 
using Pinot's K1 weight-limit rule.
+///
+/// Raw values are sorted in small batches; serialized centroids retain their 
existing sorted order. Both are
+/// linearly merged with accumulated centroids. K1 preserves Pinot's existing 
middle-quantile behavior, and the
+/// legacy verbose and small encodings preserve stored data and mixed-version 
wire compatibility.
+///
+/// Serialized state keeps its first digest pending and allocates centroid 
buffers only when another input must be
+/// merged or the digest is queried. Raw-value buffers remain unallocated 
until a raw value is added.
+///
+/// Historical corrupted payloads remain opaque and byte-exact, with NaN 
statistics. Their reported historical mass
+/// may be invalid; they cannot be mutated or mixed with another distribution. 
Such an operation fails before
+/// changing aggregate mass, because neither invented statistics nor synthetic 
NaN bytes are safe for old readers.
+/// Unchanged historical fractional boundaries retain their original bytes, 
including when configured compression
+/// differs. After a merge, inherited fractional endpoints retain precise 
verbose weights and finite statistics when
+/// unit endpoints cannot preserve their mass. These keep the historical 
t-digest 3.3 assertion-enabled reader and
+/// recompression limitation. Newly introduced unsupported fractional 
endpoints are rejected.
+///
+/// Instances are externally serialized per aggregation or group key and are 
not safe for concurrent mutation.
+public final class PercentileTDigestAccumulator extends TDigest {
+  private static final int MIN_RAW_BUFFER_SIZE = 256;
+  private static final int MAX_RAW_BUFFER_SIZE = 10_000;
+  private static final int TWO_LEVEL_COMPRESSION_MULTIPLIER = 2;
+  private static final int MIN_INCREMENTAL_COMPRESSION = 50;
+
+  private final double _compression;
+  private final boolean _useTwoLevelRawCompression;
+  private final double _workingCompression;
+  private final double _publicMaxWeightScale;
+  private final double _workingMaxWeightScale;
+  private final int _centroidCapacity;
+  private final int _pendingCentroidCapacity;
+  private double[] _rawValues;
+  private double[] _centroidMeans;
+  private double[] _centroidWeights;
+  private double[] _outputMeans;
+  private double[] _outputWeights;
+  private double[] _incomingMeans;
+  private double[] _incomingWeights;
+  private double[] _sortedIncomingMeans;
+  private double[] _sortedIncomingWeights;
+  private SerializedTDigestInput _serializedTDigestInput;
+  private byte[] _pendingSerializedTDigest;
+  private byte[] _originalFractionalBytes;
+  private byte[] _originalBoundaryBytes;
+  private double _historicalFractionalMinMean = Double.NaN;
+  private double _historicalFractionalMaxMean = Double.NaN;
+  private double _freshFractionalMinMean = Double.NaN;
+  private double _freshFractionalMaxMean = Double.NaN;
+  private SerializedTDigestMetadata _pendingSerializedMetadata;
+  private boolean _legacyDegraded;
+  private boolean _hasFractionalWeights;
+  private boolean _deferBoundaryNormalization;
+
+  private int _numRawValues;
+  private int _numCentroids;
+  private int _numIncomingCentroids;
+  private int _mergeCount;
+  private boolean _publiclyCompressed;
+  private boolean _incomingCentroidsSorted = true;
+  private double _totalWeight;
+  private double _incomingWeight;
+  private double _min = Double.POSITIVE_INFINITY;
+  private double _max = Double.NEGATIVE_INFINITY;
+
+  public PercentileTDigestAccumulator(int compression) {
+    this((double) compression, true, true);
+  }
+
+  public PercentileTDigestAccumulator(double compression) {
+    this(compression, true, true);
+  }
+
+  private PercentileTDigestAccumulator(double compression, boolean 
allocateRawBuffer, boolean allocateMergeBuffers) {
+    this(compression, allocateRawBuffer, allocateMergeBuffers, false);
+  }
+
+  private PercentileTDigestAccumulator(double compression, boolean 
allocateRawBuffer, boolean allocateMergeBuffers,
+      boolean useTwoLevelRawCompression) {
+    _compression = TDigestCodec.normalizeCompression(compression);
+    _useTwoLevelRawCompression = useTwoLevelRawCompression;
+    _workingCompression = TWO_LEVEL_COMPRESSION_MULTIPLIER * _compression;
+    _publicMaxWeightScale = calculateK1MaxWeightScale(_compression);
+    _workingMaxWeightScale = calculateK1MaxWeightScale(_workingCompression);
+    long roundedCompression = (long) Math.ceil(_compression);
+    _centroidCapacity = TDigestCodec.getDefaultCentroidCapacity(_compression);
+    _pendingCentroidCapacity = getPendingCentroidCapacity(_centroidCapacity, 
useTwoLevelRawCompression);
+    if (allocateRawBuffer) {
+      _rawValues = new double[getInitialRawBufferSize(roundedCompression)];
+    }
+    if (allocateMergeBuffers) {
+      int initialCapacity = Math.min(_centroidCapacity, MIN_RAW_BUFFER_SIZE);
+      _centroidMeans = new double[initialCapacity];
+      _centroidWeights = new double[initialCapacity];
+      _outputMeans = new double[initialCapacity];
+      _outputWeights = new double[initialCapacity];
+    }
+  }
+
+  /// Creates a lazy digest with the legacy two-level compression used by 
Star-tree and general digest aggregation.
+  public static PercentileTDigestAccumulator forLegacyAggregation(double 
compression) {
+    return new PercentileTDigestAccumulator(compression, false, false, true);
+  }
+
+  /// Reads and retains one legacy digest, preserving the general aggregation 
compression policy.
+  public static PercentileTDigestAccumulator fromBytes(byte[] bytes) {
+    return fromBytes(ByteBuffer.wrap(bytes));
+  }
+
+  /// Reads one payload and advances the buffer past it.
+  public static PercentileTDigestAccumulator fromBytes(ByteBuffer bytes) {
+    SerializedTDigestInput input = new SerializedTDigestInput();
+    input.reset(bytes);
+    return fromBytes(input);
+  }
+
+  /// Retains an already validated input without rescanning its centroid bytes.
+  public static PercentileTDigestAccumulator fromBytes(SerializedTDigestInput 
input) {
+    PercentileTDigestAccumulator digest = 
forLegacyAggregation(input.getCompression());
+    digest.addSerializedTDigest(input);
+    return digest;
+  }
+
+  public static PercentileTDigestAccumulator forReduction(double compression) {
+    return new PercentileTDigestAccumulator(compression, false, false);
+  }
+
+  /// Snapshots buffered inputs and centroid state without materializing or 
compressing the source. Mutable buffers
+  /// are copied; immutable retained bytes and metadata are shared. Merge and 
sort scratch buffers remain lazy.
+  PercentileTDigestAccumulator copy() {
+    PercentileTDigestAccumulator copy =
+        new PercentileTDigestAccumulator(_compression, false, false, 
_useTwoLevelRawCompression);
+    copy._rawValues = _rawValues != null ? _rawValues.clone() : null;
+    copy._centroidMeans = _numCentroids > 0 ? Arrays.copyOf(_centroidMeans, 
_numCentroids) : null;
+    copy._centroidWeights = _numCentroids > 0 ? 
Arrays.copyOf(_centroidWeights, _numCentroids) : null;
+    copy._incomingMeans = _numIncomingCentroids > 0 ? 
Arrays.copyOf(_incomingMeans, _numIncomingCentroids) : null;
+    copy._incomingWeights = _numIncomingCentroids > 0 ? 
Arrays.copyOf(_incomingWeights, _numIncomingCentroids) : null;
+    copy._pendingSerializedTDigest = _pendingSerializedTDigest;
+    copy._pendingSerializedMetadata = _pendingSerializedMetadata;
+    copy._originalFractionalBytes = _originalFractionalBytes;
+    copy._originalBoundaryBytes = _originalBoundaryBytes;
+    copy._historicalFractionalMinMean = _historicalFractionalMinMean;
+    copy._historicalFractionalMaxMean = _historicalFractionalMaxMean;
+    copy._freshFractionalMinMean = _freshFractionalMinMean;
+    copy._freshFractionalMaxMean = _freshFractionalMaxMean;
+    copy._legacyDegraded = _legacyDegraded;
+    copy._hasFractionalWeights = _hasFractionalWeights;
+    copy._deferBoundaryNormalization = _deferBoundaryNormalization;
+    copy._numRawValues = _numRawValues;
+    copy._numCentroids = _numCentroids;
+    copy._numIncomingCentroids = _numIncomingCentroids;
+    copy._mergeCount = _mergeCount;
+    copy._publiclyCompressed = _publiclyCompressed;
+    copy._incomingCentroidsSorted = _incomingCentroidsSorted;
+    copy._totalWeight = _totalWeight;
+    copy._incomingWeight = _incomingWeight;
+    copy._min = _min;
+    copy._max = _max;
+    return copy;
+  }
+
+  /// Copies primitive centroids without encoding and decoding them. Zero 
weights are ignored, and unordered
+  /// means are sorted when initializing a stored, already compressed 
distribution; caller arrays are not mutated.
+  /// Subsequent inputs use the normal buffered merge. Positive weights and 
consistent extrema are required.
+  public void addCentroids(double[] means, double[] weights, int count, double 
min, double max,
+      boolean alreadyCompressed) {
+    addCentroids(means, weights, count, min, max, alreadyCompressed, false);
+  }
+
+  /// Adds validated legacy centroids without marking their existing 
fractional mass as fresh input.
+  void addHistoricalCentroids(double[] means, double[] weights, int count, 
double min, double max,
+      boolean alreadyCompressed) {
+    addCentroids(means, weights, count, min, max, alreadyCompressed, true);
+  }
+
+  private void addCentroids(double[] means, double[] weights, int count, 
double min, double max,
+      boolean alreadyCompressed, boolean historical) {
+    requireMutable();
+    if (count < 0 || count > means.length || count > weights.length) {
+      throw new IllegalArgumentException("Invalid TDigest centroid count: " + 
count);
+    }
+    double totalWeight = 0.0;
+    int positiveCount = 0;
+    boolean sorted = true;
+    boolean fractionalWeights = false;
+    double previousMean = Double.NEGATIVE_INFINITY;
+    for (int i = 0; i < count; i++) {
+      double weight = weights[i];
+      if (weight == 0.0) {
+        continue;
+      }
+      double mean = means[i];
+      if (!(weight > 0.0) || !Double.isFinite(weight) || !(mean >= min && mean 
<= max)) {
+        throw new IllegalArgumentException("Invalid TDigest centroid");
+      }
+      totalWeight += weight;
+      sorted &= mean >= previousMean;
+      previousMean = mean;
+      fractionalWeights |= weight != Math.rint(weight);
+      positiveCount++;
+    }
+    checkTotalWeight(getTotalWeight() + totalWeight);
+    if (positiveCount == 0) {
+      return;
+    }
+    prepareForMutation();
+    _originalFractionalBytes = null;
+    _hasFractionalWeights |= fractionalWeights;
+    if (!historical && fractionalWeights) {
+      for (int i = 0; i < count; i++) {
+        recordFreshFractionalMean(means[i], weights[i]);
+      }
+    }
+    if (hasNoInputs() && alreadyCompressed) {
+      ensureCentroidCapacity(Math.addExact(positiveCount, 2));
+      for (int i = 0; i < count; i++) {
+        if (weights[i] > 0.0) {
+          _centroidMeans[_numCentroids] = means[i];
+          _centroidWeights[_numCentroids++] = weights[i];
+        }
+      }
+      if (!sorted) {
+        sortCentroids(_centroidMeans, _centroidWeights, _numCentroids);
+      }
+      _totalWeight = totalWeight;
+      _min = min;
+      _max = max;
+      if (!historical) {
+        normalizeBoundaryCentroids();
+      }
+      _publiclyCompressed = true;
+    } else {
+      if (sorted && positiveCount == count) {
+        bufferIncomingCentroids(means, weights, count, totalWeight, min, max);
+      } else {
+        // Caller-owned arrays are copied only when filtering or sorting is 
necessary.
+        double[] sortedMeans = new double[positiveCount];
+        double[] sortedWeights = new double[positiveCount];
+        int index = 0;
+        for (int i = 0; i < count; i++) {
+          if (weights[i] > 0.0) {
+            sortedMeans[index] = means[i];
+            sortedWeights[index++] = weights[i];
+          }
+        }
+        if (!sorted) {
+          sortCentroids(sortedMeans, sortedWeights, positiveCount);
+        }
+        bufferIncomingCentroids(sortedMeans, sortedWeights, positiveCount, 
totalWeight, min, max);
+      }
+      _min = Math.min(_min, min);
+      _max = Math.max(_max, max);
+    }
+  }
+
+  public void add(double[] values, int from, int toExclusive) {
+    if (from >= toExclusive) {
+      return;
+    }
+    requireMutable();
+    prepareForMutation();
+    while (from < toExclusive) {
+      ensureRawBuffer();
+      if (_numRawValues == _rawValues.length
+          || _numRawValues + _numIncomingCentroids == getPendingInputLimit()) {
+        flush();
+      }
+      int numValues = Math.min(toExclusive - from, Math.min(_rawValues.length 
- _numRawValues,
+          getPendingInputLimit() - _numRawValues - _numIncomingCentroids));
+      int rawOffset = _numRawValues;
+      for (int i = 0; i < numValues; i++) {
+        double value = values[from + i];
+        if (Double.isNaN(value)) {
+          throw new IllegalArgumentException("Cannot add NaN to t-digest");
+        }
+        _rawValues[rawOffset + i] = value;
+      }
+      _originalFractionalBytes = null;
+      from += numValues;
+      _numRawValues += numValues;
+      if (_numRawValues == _rawValues.length
+          && (!_useTwoLevelRawCompression || _rawValues.length == 
_pendingCentroidCapacity)
+          || _numRawValues + _numIncomingCentroids == getPendingInputLimit()) {
+        flush();
+      }
+    }
+  }
+
+  @Override
+  public void add(double value) {
+    if (Double.isNaN(value)) {
+      throw new IllegalArgumentException("Cannot add NaN to t-digest");
+    }
+    requireMutable();
+    prepareForMutation();
+    ensureRawBuffer();
+    if (_numRawValues == _rawValues.length
+        || _numRawValues + _numIncomingCentroids == getPendingInputLimit()) {
+      flush();
+    }
+    _originalFractionalBytes = null;
+    _rawValues[_numRawValues++] = value;
+  }
+
+  @Override
+  public void add(double value, double weight) {
+    if (weight == 1) {
+      add(value);
+      return;
+    }
+    if (Double.isNaN(value)) {
+      throw new IllegalArgumentException("Cannot add NaN to t-digest");
+    }
+    if (!(weight > 0.0) || !Double.isFinite(weight)) {
+      throw new IllegalArgumentException("TDigest weight must be positive: " + 
weight);
+    }
+    requireMutable();
+    prepareForMutation();
+    bufferIncomingCentroid(value, weight);
+    _originalFractionalBytes = null;
+    _hasFractionalWeights |= weight != Math.rint(weight);
+    recordFreshFractionalMean(value, weight);
+    _min = Math.min(_min, value);
+    _max = Math.max(_max, value);
+  }
+
+  @Override
+  public void add(TDigest other) {
+    if (other.hasValidStatistics() && other.getTotalWeight() == 0.0) {
+      return;
+    }
+    requireMutable();
+    if (other instanceof PercentileTDigestAccumulator) {
+      addAccumulator((PercentileTDigestAccumulator) other);
+      return;
+    }
+    if (other instanceof NonFiniteAwareTDigest) {
+      PercentileTDigestAccumulator finiteDigest = ((NonFiniteAwareTDigest) 
other).finiteDigestIfNoTails();
+      if (finiteDigest != null) {
+        addAccumulator(finiteDigest);
+        return;
+      }
+    }
+    if (!other.hasValidStatistics()) {
+      materializePendingSerializedTDigest();
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(ByteBuffer.wrap(other.serialize()), false);
+      addSerializedTDigest(input);
+      return;
+    }
+    double otherWeight = other.getTotalWeight();
+    checkTotalWeight(getTotalWeight() + otherWeight);
+    Collection<Centroid> centroids = other.centroids();
+    boolean wrapped = other instanceof NonFiniteAwareTDigest;
+    int capacity = wrapped ? Math.addExact(centroids.size(), 2) : 
centroids.size();
+    double[] means = new double[capacity];
+    double[] weights = new double[capacity];
+    int count = 0;
+    for (Centroid centroid : centroids) {
+      double weight = centroid.weight();
+      if (weight == 0.0) {
+        continue;
+      }
+      if (!(weight > 0.0) || !Double.isFinite(weight) || 
Double.isNaN(centroid.mean())) {
+        throw new IllegalArgumentException("Invalid TDigest centroid");
+      }
+      means[count] = centroid.mean();
+      weights[count++] = weight;
+    }
+    if (wrapped) {
+      count = normalizeSerializedBoundaries(means, weights, count, 
other.getMin(), other.getMax());
+    }
+    // Validate all generic centroids before changing the target, then use the 
same whole-source primitive path.
+    addCentroids(means, weights, count, other.getMin(), other.getMax(), false, 
wrapped);
+    inheritHistoricalFractionalBoundaries(other);
+  }
+
+  private void addAccumulator(PercentileTDigestAccumulator other) {
+    if (other == this) {
+      compress();
+      prepareForMutation();
+      if (_numCentroids == 0) {
+        return;
+      }
+      // Snapshot only self-merges; fresh fractional mass need not be 
representable by a legacy wire payload.
+      addHistoricalCentroids(Arrays.copyOf(_centroidMeans, _numCentroids),
+          Arrays.copyOf(_centroidWeights, _numCentroids), _numCentroids, _min, 
_max, false);
+      return;
+    }
+    if (_deferBoundaryNormalization && !other._deferBoundaryNormalization) {
+      other.prepareForMutation();
+    }
+    if (other._originalBoundaryBytes != null) {
+      if (getTotalWeight() != 0.0) {
+        throw unrepresentableBoundaryMutation();
+      }
+      addSerializedTDigest(other._originalBoundaryBytes);
+      return;
+    }
+    if (other._originalFractionalBytes != null && getTotalWeight() == 0.0) {
+      materializePendingSerializedTDigest();
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(other._originalFractionalBytes);
+      input._retainedBytes = other._originalFractionalBytes;
+      addSerializedTDigest(input);
+      return;
+    }
+    if (other._pendingSerializedTDigest != null) {
+      // Materialize before resetting the reusable reader: materialization 
uses that same reader.
+      materializePendingSerializedTDigest();
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(other._pendingSerializedTDigest, 
other._pendingSerializedMetadata);
+      input._retainedBytes = other._pendingSerializedTDigest;
+      addSerializedTDigest(input);
+      return;
+    }
+    if (other._legacyDegraded) {
+      addSerializedTDigest(other.serialize());
+      return;
+    }
+
+    // MergingDigest compressed merge sources in place. Aggregation owns these 
mutable inputs exclusively.
+    other.compress();
+    other.prepareForMutation();
+    prepareForMutation();
+    checkTotalWeight(_totalWeight + _incomingWeight + _numRawValues + 
other._totalWeight);
+    _hasFractionalWeights |= other._hasFractionalWeights;
+    inheritHistoricalFractionalBoundaries(other);
+    bufferIncomingCentroids(other._centroidMeans, other._centroidWeights, 
other._numCentroids, other._totalWeight,
+        other._min, other._max);
+    if (other._totalWeight > 0.0) {
+      _originalFractionalBytes = null;
+    }
+    _min = Math.min(_min, other._min);
+    _max = Math.max(_max, other._max);
+  }
+
+  public void addSerializedTDigest(byte[] bytes) {
+    if (_legacyDegraded || _originalBoundaryBytes != null) {
+      SerializedTDigestInput input = getSerializedTDigestInput();
+      input.reset(bytes);
+      addSerializedTDigest(input);
+      return;
+    }
+    requireMutable();
+    materializePendingSerializedTDigest();
+    SerializedTDigestInput input = getSerializedTDigestInput();
+    input.reset(bytes);
+    addSerializedTDigest(input);
+  }
+
+  private SerializedTDigestInput getSerializedTDigestInput() {
+    if (_serializedTDigestInput == null) {
+      _serializedTDigestInput = new SerializedTDigestInput();
+    }
+    return _serializedTDigestInput;
+  }
+
+  public void addSerializedTDigest(SerializedTDigestInput input) {
+    if (ignoreEmptyInputForDegradedState(input)) {
+      return;
+    }
+    requireMutable();
+    if (prepareSerializedTDigest(input)) {
+      mergeSerializedTDigest(input, false);
+    }
+  }
+
+  public void addSerializedTDigestDirect(SerializedTDigestInput input) {
+    if (ignoreEmptyInputForDegradedState(input)) {
+      return;
+    }
+    requireMutable();
+    if (prepareSerializedTDigest(input)) {
+      mergeSerializedTDigest(input, true);
+    }
+  }
+
+  private boolean ignoreEmptyInputForDegradedState(SerializedTDigestInput 
input) {
+    if (!_legacyDegraded && _originalBoundaryBytes == null
+        && (_pendingSerializedMetadata == null || 
!_pendingSerializedMetadata.weightedBoundaries())) {
+      return false;
+    }
+    input.inspectMetadata();
+    return !input._metadata._needsLegacyFallback && 
input._metadata._totalWeight == 0.0;
+  }
+
+  private boolean prepareSerializedTDigest(SerializedTDigestInput input) {
+    if (_pendingSerializedTDigest == null && hasNoInputs()) {
+      input.inspectMetadata();
+      _hasFractionalWeights |= input._metadata._fractionalWeights;
+      _pendingSerializedTDigest = input.retainBytes();
+      _pendingSerializedMetadata = input.getMetadata();
+      if (input.recordHistoricalFractionalBoundaries(this)) {
+        // Alias the retained snapshot; historical fractional bytes remain 
byte-exact after read-only materialization.
+        _originalFractionalBytes = _pendingSerializedTDigest;
+      }
+      if (input._metadata._needsLegacyFallback) {
+        _legacyDegraded = true;
+      }
+      return false;
+    }
+    materializePendingSerializedTDigest();
+    input.decode();
+    if (input._metadata._needsLegacyFallback) {
+      if (hasNoInputs()) {
+        _pendingSerializedTDigest = input.retainBytes();
+        _pendingSerializedMetadata = input.getMetadata();
+        _legacyDegraded = true;
+        return false;
+      }
+      throw corruptedMutation();

Review Comment:
   **Hard failure on historically corrupted digests, with no opt-out.** Merging 
a degraded legacy digest (NaN/inverted extrema, non-finite weights) with 
healthy state now throws `corruptedMutation()` (also via `requireMutable`). 
Through `PercentileTDigestAggregationFunction.merge` -> `add()`, 
star-tree/mutable-ingestion `applyRawValue`, and minion 
`mergeWithConfiguredCompression`, one corrupted stored row now hard-fails the 
whole query, star-tree build, or merge-rollup task. Pre-PR, tdunning silently 
produced a garbage/NaN percentile for the same bytes.
   
   Verified: an accumulator holding 1 healthy value + 
`addSerializedTDigest(corrupt bytes with min=NaN)` throws `Cannot merge or 
mutate a historically corrupted TDigest...`; the same payload alone returns 
NaN. So a solo degraded digest degrades gracefully to NaN, but any aggregation 
that *combines* it with healthy mass errors out - and merge-rollup tasks 
touching such a row fail permanently (retries hit the same bytes).
   
   Failing loudly is defensible, but operators with existing corrupted digests 
have no escape hatch short of rebuilding segments. Consider a query option / 
table config gate (or degrading the merged result to NaN like the solo-read 
path) so one bad historical row cannot permanently wedge minion tasks or block 
a whole table's percentile queries.



##########
pinot-segment-local/src/main/java/org/apache/pinot/segment/local/customobject/tdigest/TDigestCodec.java:
##########
@@ -0,0 +1,853 @@
+/**
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.pinot.segment.local.customobject.tdigest;
+
+import java.lang.invoke.MethodHandles;
+import java.lang.invoke.VarHandle;
+import java.nio.BufferUnderflowException;
+import java.nio.ByteBuffer;
+import java.nio.ByteOrder;
+import java.util.Arrays;
+
+/// Compatibility helpers for the serialized t-digest format shared by 
t-digest 3.2 and 3.3.
+///
+/// Version 3.3 requires the first and last centroid to have unit weight 
whenever a digest is recompressed. Version
+/// 3.2 did not maintain that invariant, so an otherwise valid 3.2 digest can 
fail an assertion after being read by
+/// 3.3. Pure reads retain the legacy centroids and interpolation. Mutation 
and serialization repair their boundaries
+/// only when unit endpoints can preserve their total weight and first moment; 
otherwise unchanged historical bytes
+/// remain readable and mutation fails explicitly.
+/// Serialization uses the compact form when 3.3's larger low-compression 
centroid buffer would not fit in a 3.2
+/// default buffer and every centroid is exactly representable in that format. 
Otherwise, it merges the nearest
+/// interior centroids until the verbose representation fits the 3.2 capacity. 
This keeps intermediate values readable
+/// in both directions during a rolling upgrade without silently narrowing 
double-precision values to floats.
+///
+/// Pinot owns the in-memory K1 implementation and retains these legacy bytes 
for stored columns and mixed-version
+/// intermediate results. Decoding checks lengths and numerical state before 
allocating centroid arrays.
+/// NaN means at an identifiable infinite tail are restored to that infinite 
bound without changing their weights.
+/// Other poisoned states remain byte-readable with NaN statistics because 
their distribution cannot be recovered.
+/// They retain their original bytes; attempting to mutate them or mix them 
with another distribution fails explicitly.
+/// Opaque poisoned payloads retain their original centroids even if an old 
reader's default array cannot hold them;
+/// these historical exceptions remain readable by Pinot, but are not 
guaranteed to survive a reverse upgrade.
+/// Historical fractional boundary masses below one, and singleton masses 
between one and two, retain their original
+/// bytes. Fresh serialization rejects these boundaries: t-digest 3.3's 
unit-endpoint assertion cannot be satisfied
+/// without changing their mass. Fractional interior weights remain supported.
+public final class TDigestCodec {
+  public static final int VERBOSE_ENCODING = 1;
+  public static final int SMALL_ENCODING = 2;
+  private static final int LEGACY_CAPACITY_PADDING = 10;
+  public static final int VERBOSE_HEADER_SIZE = 32;
+  public static final int VERBOSE_CENTROID_SIZE = 16;
+  public static final int SMALL_HEADER_SIZE = 30;
+  public static final int SMALL_CENTROID_SIZE = 8;
+  public static final int DEFAULT_MERGE_BUFFER_MULTIPLIER = 5;
+
+  private TDigestCodec() {
+  }
+
+  /// Reads the compression from a validated header without decoding centroid 
arrays.
+  public static double readCompression(byte[] bytes) {
+    return readSerializedHeader(ByteBuffer.wrap(bytes)).compression();
+  }
+
+  /// Rejects non-finite compression while retaining the legacy clamping of 
finite settings below ten.
+  public static void validateCompression(double compression) {
+    if (!Double.isFinite(compression)) {

Review Comment:
   **Dropped fail-fast for non-positive compression.** `validateCompression` 
only rejects non-finite values, and `normalizeCompression` clamps everything 
else to 10. At base, both the accumulator (`TDigest compression must be 
positive: ...`) and TDigestUtils rejected `compression <= 0` with an 
IllegalArgumentException.
   
   Since the user-supplied compression factor flows straight here 
(`PercentileTDigestAccumulator` ctor -> `TDigestCodec.normalizeCompression`), a 
query like `PERCENTILETDIGEST(col, 95, -50)` or `PERCENTILETDIGEST(col, 95, 0)` 
- or a merge-rollup `functionParameter` with a zero/negative compression - 
previously failed fast with a clear error, and now silently executes at 
compression 10, returning low-accuracy percentiles instead of surfacing the 
misconfiguration. (Verified empirically: `new PercentileTDigestAccumulator(0)` 
and `(-50)` are accepted with `compression() == 10.0`, while the base class 
throws.)
   
   Clamping sub-10 *positive* values is documented legacy behavior; rejecting 
`<= 0` for fresh digests would restore the old guard without affecting 
stored-header normalization (which can keep the clamp for legacy bytes).
   
   ```suggestion
     /// Rejects non-positive or non-finite compression while retaining the 
legacy clamping of finite settings below ten.
     public static void validateCompression(double compression) {
       if (!(compression > 0.0) || !Double.isFinite(compression)) {
   ```



##########
compatibility-verifier/tdigest-compatibility/run.sh:
##########
@@ -0,0 +1,53 @@
+#!/usr/bin/env bash
+#
+# Licensed to the Apache Software Foundation (ASF) under one
+# or more contributor license agreements.  See the NOTICE file
+# distributed with this work for additional information
+# regarding copyright ownership.  The ASF licenses this file
+# to you under the Apache License, Version 2.0 (the
+# "License"); you may not use this file except in compliance
+# with the License.  You may obtain a copy of the License at
+#
+#   http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing,
+# software distributed under the License is distributed on an
+# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+# KIND, either express or implied.  See the License for the
+# specific language governing permissions and limitations
+# under the License.
+#
+
+# Run after LegacyTDigestCompatibilityTest. Legacy jars are test-tool 
artifacts, not Pinot dependencies.
+set -euo pipefail
+# Match the unit-test workflow's Maven Central retry and connection settings, 
including standalone runs.
+export MAVEN_OPTS="${MAVEN_OPTS:-} 
-Dmaven.wagon.httpconnectionManager.ttlSeconds=25 \
+-Dmaven.wagon.http.retryHandler.count=30 -Dhttp.keepAlive=false 
-Dmaven.wagon.http.pool=false"
+TDIGEST_ROOT="$(cd "$(dirname "${BASH_SOURCE[0]}")/../.." && pwd)"
+TDIGEST_FIXTURES="$TDIGEST_ROOT/pinot-segment-local/target/tdigest-compat-fixtures"
+TDIGEST_WORK="$TDIGEST_ROOT/pinot-segment-local/target/tdigest-legacy-reader"
+if [[ ! -s "$TDIGEST_FIXTURES/manifest.tsv" ]]; then

Review Comment:
   **Undocumented build-order coupling.** This step hard-fails unless 
`LegacyTDigestCompatibilityTest` (pinot-segment-local) ran earlier *in the same 
job* to write `target/tdigest-compat-fixtures/manifest.tsv`. That holds today 
only because the CI test-split script happens to put pinot-segment-local in 
testset 2 - the same testset the workflow gates this step on - and the split 
comment says pinot-segment-local was placed there purely for load balancing. A 
future rebalance of the testset split (or excluding/renaming the test) turns 
every testset-2 run red here.
   
   The error message is good; the missing piece is documentation at the sites 
that would realistically change: a comment on the workflow's `if: 
matrix.testset == 2` line and in the test-split script noting that the tdigest 
compatibility gate depends on pinot-segment-local's tests running in that set. 
Also note the step downloads the removed `com.tdunning:t-digest` 3.2/3.3 jars 
from Maven Central at CI time (m2-cached after first run) - worth a comment too 
so a future offline/air-gapped CI change doesn't trip on it.



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