Github user clockfly commented on a diff in the pull request:

    https://github.com/apache/spark/pull/14868#discussion_r77127003
  
    --- Diff: 
sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/aggregate/ApproximatePercentile.scala
 ---
    @@ -0,0 +1,321 @@
    +/*
    + * 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.spark.sql.catalyst.expressions.aggregate
    +
    +import java.nio.ByteBuffer
    +
    +import com.google.common.primitives.{Doubles, Ints, Longs}
    +
    +import org.apache.spark.sql.AnalysisException
    +import org.apache.spark.sql.catalyst.{InternalRow}
    +import org.apache.spark.sql.catalyst.analysis.TypeCheckResult
    +import 
org.apache.spark.sql.catalyst.analysis.TypeCheckResult.{TypeCheckFailure, 
TypeCheckSuccess}
    +import org.apache.spark.sql.catalyst.expressions._
    +import 
org.apache.spark.sql.catalyst.expressions.aggregate.ApproximatePercentile.{PercentileDigest}
    +import org.apache.spark.sql.catalyst.util.{ArrayData, GenericArrayData}
    +import org.apache.spark.sql.catalyst.util.QuantileSummaries
    +import 
org.apache.spark.sql.catalyst.util.QuantileSummaries.{defaultCompressThreshold, 
Stats}
    +import org.apache.spark.sql.types._
    +
    +/**
    + * The ApproximatePercentile function returns the approximate 
percentile(s) of a column at the given
    + * percentage(s). A percentile is a watermark value below which a given 
percentage of the column
    + * values fall. For example, the percentile of column `col` at percentage 
50% is the median of
    + * column `col`.
    + *
    + * This function supports partial aggregation.
    + *
    + * @param child child expression that can produce column value with 
`child.eval(inputRow)`
    + * @param percentageExpression Expression that represents a single 
percentage value or
    + *                             an array of percentage values. Each 
percentage value must be between
    + *                             0.0 and 1.0.
    + * @param accuracyExpression Integer literal expression of approximation 
accuracy. Higher value
    + *                           yields better accuracy, the default value is
    + *                           DEFAULT_PERCENTILE_ACCURACY.
    + */
    +@ExpressionDescription(
    +  usage =
    +    """
    +      _FUNC_(col, percentage [, accuracy]) - Returns the approximate 
percentile value of numeric
    +      column `col` at the given percentage. The value of percentage must 
be between 0.0
    +      and 1.0. The `accuracy` parameter (default: 10000) is a positive 
integer literal which
    +      controls approximation accuracy at the cost of memory. Higher value 
of `accuracy` yields
    +      better accuracy, `1.0/accuracy` is the relative error of the 
approximation.
    +
    +      _FUNC_(col, array(percentage1 [, percentage2]...) [, accuracy]) - 
Returns the approximate
    +      percentile array of column `col` at the given percentage array. Each 
value of the
    +      percentage array must be between 0.0 and 1.0. The `accuracy` 
parameter (default: 10000) is
    +       a positive integer literal which controls approximation accuracy at 
the cost of memory.
    +       Higher value of `accuracy` yields better accuracy, `1.0/accuracy` 
is the relative error of
    +       the approximation.
    +    """)
    +case class ApproximatePercentile(
    +    child: Expression,
    +    percentageExpression: Expression,
    +    accuracyExpression: Expression,
    +    override val mutableAggBufferOffset: Int,
    +    override val inputAggBufferOffset: Int) extends 
TypedImperativeAggregate[PercentileDigest] {
    +
    +  def this(child: Expression, percentageExpression: Expression, 
accuracyExpression: Expression) = {
    +    this(child, percentageExpression, accuracyExpression, 0, 0)
    +  }
    +
    +  def this(child: Expression, percentageExpression: Expression) = {
    +    this(child, percentageExpression, 
Literal(ApproximatePercentile.DEFAULT_PERCENTILE_ACCURACY))
    +  }
    +
    +  // Mark as lazy so that accuracyExpression is not evaluated during tree 
transformation.
    +  private lazy val accuracy: Int = 
accuracyExpression.eval().asInstanceOf[Int]
    +
    +  override def inputTypes: Seq[AbstractDataType] = {
    +    Seq(DoubleType, TypeCollection(DoubleType, ArrayType), IntegerType)
    +  }
    +
    +  // Mark as lazy so that percentageExpression is not evaluated during 
tree transformation.
    +  private lazy val (returnPercentileArray: Boolean, percentages: 
Array[Double]) = {
    +    (percentageExpression.dataType, percentageExpression.eval()) match {
    +      // Rule ImplicitTypeCasts can cast other numeric types to double
    +      case (_, num: Double) => (false, Array(num))
    +      case (ArrayType(baseType: NumericType, _), arrayData: ArrayData) =>
    +         val numericArray = arrayData.toObjectArray(baseType)
    +        (true, numericArray.map { x =>
    +          baseType.numeric.toDouble(x.asInstanceOf[baseType.InternalType])
    +        })
    +      case other =>
    +        throw new AnalysisException(s"Invalid data type ${other._1} for 
parameter percentage")
    +    }
    +  }
    +
    +  override def checkInputDataTypes(): TypeCheckResult = {
    +    val defaultCheck = super.checkInputDataTypes()
    +    if (defaultCheck.isFailure) {
    +      defaultCheck
    +    } else if (!percentageExpression.foldable || 
!accuracyExpression.foldable) {
    +      TypeCheckFailure(s"The accuracy or percentage provided must be a 
constant literal")
    +    } else if (accuracy <= 0) {
    +      TypeCheckFailure(
    +        s"The accuracy provided must be a positive integer literal 
(current value = $accuracy)")
    +    } else if (percentages.exists(percentage => percentage < 0.0D || 
percentage > 1.0D)) {
    +      TypeCheckFailure(
    +        s"All percentage values must be between 0.0 and 1.0 " +
    +          s"(current = ${percentages.mkString(", ")})")
    +    } else {
    +      TypeCheckSuccess
    +    }
    +  }
    +
    +  override def createAggregationBuffer(): PercentileDigest = {
    +    val relativeError = 1.0D / accuracy
    +    new PercentileDigest(relativeError)
    +  }
    +
    +  override def update(buffer: PercentileDigest, inputRow: InternalRow): 
Unit = {
    +    val value = child.eval(inputRow)
    +    // Ignore empty rows, for example: percentile_approx(null)
    +    if (value != null) {
    +      buffer.add(value.asInstanceOf[Double])
    +    }
    +  }
    +
    +  override def merge(buffer: PercentileDigest, other: PercentileDigest): 
Unit = {
    +    buffer.merge(other)
    +  }
    +
    +  override def eval(buffer: PercentileDigest): Any = {
    +    val result = buffer.getPercentiles(percentages)
    +    if (result.length == 0) {
    +      null
    +    } else if (returnPercentileArray) {
    +      new GenericArrayData(result)
    +    } else {
    +      result(0)
    +    }
    +  }
    +
    +  override def withNewMutableAggBufferOffset(newOffset: Int): 
ApproximatePercentile =
    +    copy(mutableAggBufferOffset = newOffset)
    +
    +  override def withNewInputAggBufferOffset(newOffset: Int): 
ApproximatePercentile =
    +    copy(inputAggBufferOffset = newOffset)
    +
    +  override def children: Seq[Expression] = Seq(child, 
percentageExpression, accuracyExpression)
    +
    +  // Returns null for empty inputs
    +  override def nullable: Boolean = true
    +
    +  override def dataType: DataType = {
    +    if (returnPercentileArray) ArrayType(DoubleType) else DoubleType
    +  }
    +
    +  override def prettyName: String = "percentile_approx"
    +
    +  override def serialize(obj: PercentileDigest): Array[Byte] = {
    +    ApproximatePercentile.serializer.serialize(obj)
    +  }
    +
    +  override def deserialize(bytes: Array[Byte]): PercentileDigest = {
    +    ApproximatePercentile.serializer.deserialize(bytes)
    +  }
    +}
    +
    +object ApproximatePercentile {
    +
    +  // Default accuracy of Percentile approximation. Larger value means 
better accuracy.
    +  // The default relative error can be deduced by defaultError = 1.0 / 
DEFAULT_PERCENTILE_ACCURACY
    +  val DEFAULT_PERCENTILE_ACCURACY: Int = 10000
    +
    +  /**
    +   * PercentileDigest is a probabilistic data structure used for 
approximating percentiles
    +   * with limited memory. PercentileDigest is backed by 
[[QuantileSummaries]].
    +   *
    +   * @param summaries underlying probabilistic data structure 
[[QuantileSummaries]].
    +   * @param isCompressed An internal flag from class [[QuantileSummaries]] 
to indicate whether the
    +   *                   underlying quantileSummaries is compressed.
    +   */
    +  class PercentileDigest(
    +      private var summaries: QuantileSummaries,
    +      private var isCompressed: Boolean) {
    +
    +    // Trigger compression if the QuantileSummaries's buffer length exceeds
    +    // compressThresHoldBufferLength. The buffer length can be get by
    +    // quantileSummaries.sampled.length
    +    private[this] final val compressThresHoldBufferLength: Int = {
    +      // Max buffer length after compression.
    +      val maxBufferLengthAfterCompression: Int = (1 / 
summaries.relativeError).toInt * 2
    +      // A safe upper bound for buffer length before compression
    +      maxBufferLengthAfterCompression * 2
    +    }
    +
    +    def this(relativeError: Double) = {
    +      this(new QuantileSummaries(defaultCompressThreshold, relativeError), 
isCompressed = true)
    +    }
    +
    +    /** Returns compressed object of [[QuantileSummaries]] */
    +    def quantileSummaries: QuantileSummaries = {
    +      if (!isCompressed) compress()
    +      summaries
    +    }
    +
    +    /** Insert an observation value into the PercentileDigest data 
structure. */
    +    def add(value: Double): Unit = {
    +      summaries = summaries.insert(value)
    +      // The result of QuantileSummaries.insert is un-compressed
    +      isCompressed = false
    +
    +      // Currently, QuantileSummaries ignores the construction parameter 
compressThresHold,
    +      // which may cause QuantileSummaries to occupy unbounded memory. We 
have to hack around here
    +      // to make sure QuantileSummaries doesn't occupy infinite memory.
    +      // TODO: Figure out why QuantileSummaries ignores construction 
parameter compressThresHold
    +      if (summaries.sampled.length >= compressThresHoldBufferLength) 
compress()
    +    }
    +
    +    /** In-place merges in another PercentileDigest. */
    +    def merge(other: PercentileDigest): Unit = {
    +      if (!isCompressed) compress()
    +      summaries = summaries.merge(other.quantileSummaries)
    --- End diff --
    
    Yes.  other.quantileSummaries will get a compression version of 
QuantileSummaries.


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