Partitioner.scala

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 * 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
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package org.apache.spark

import java.io.{IOException, ObjectInputStream, ObjectOutputStream}

import scala.collection.mutable
import scala.collection.mutable.ArrayBuffer
import scala.reflect.{classTag, ClassTag}
import scala.util.hashing.byteswap32

import org.apache.spark.rdd.{PartitionPruningRDD, RDD}
import org.apache.spark.serializer.JavaSerializer
import org.apache.spark.util.{CollectionsUtils, Utils}
import org.apache.spark.util.random.{SamplingUtils, XORShiftRandom}

/**
 * An object that defines how the elements in a key-value pair RDD are partitioned by key.
 * Maps each key to a partition ID, from 0 to `numPartitions - 1`.
 */
abstract class Partitioner extends Serializable {
  def numPartitions: Int
  def getPartition(key: Any): Int
}

object Partitioner {
  /**
   * Choose a partitioner to use for a cogroup-like operation between a number of RDDs.
   *
   * If any of the RDDs already has a partitioner, choose that one.
   *
   * Otherwise, we use a default HashPartitioner. For the number of partitions, if
   * spark.default.parallelism is set, then we'll use the value from SparkContext
   * defaultParallelism, otherwise we'll use the max number of upstream partitions.
   *
   * Unless spark.default.parallelism is set, the number of partitions will be the
   * same as the number of partitions in the largest upstream RDD, as this should
   * be least likely to cause out-of-memory errors.
   *
   * We use two method parameters (rdd, others) to enforce callers passing at least 1 RDD.
   */
  def defaultPartitioner(rdd: RDD[_], others: RDD[_]*): Partitioner = {
    val bySize = (Seq(rdd) ++ others).sortBy(_.partitions.size).reverse
    for (r <- bySize if r.partitioner.isDefined && r.partitioner.get.numPartitions > 0) {
      return r.partitioner.get
    }
    if (rdd.context.conf.contains("spark.default.parallelism")) {
      new HashPartitioner(rdd.context.defaultParallelism)
    } else {
      new HashPartitioner(bySize.head.partitions.size)
    }
  }
}

/**
 * A [[org.apache.spark.Partitioner]] that implements hash-based partitioning using
 * Java's `Object.hashCode`.
 *
 * Java arrays have hashCodes that are based on the arrays' identities rather than their contents,
 * so attempting to partition an RDD[Array[_]] or RDD[(Array[_], _)] using a HashPartitioner will
 * produce an unexpected or incorrect result.
 */
class HashPartitioner(partitions: Int) extends Partitioner {
  require(partitions >= 0, s"Number of partitions ($partitions) cannot be negative.")

  def numPartitions: Int = partitions

  def getPartition(key: Any): Int = key match {
    case null => 0
    case _ => Utils.nonNegativeMod(key.hashCode, numPartitions)
  }

  override def equals(other: Any): Boolean = other match {
    case h: HashPartitioner =>
      h.numPartitions == numPartitions
    case _ =>
      false
  }

  override def hashCode: Int = numPartitions
}

/**
 * A [[org.apache.spark.Partitioner]] that partitions sortable records by range into roughly
 * equal ranges. The ranges are determined by sampling the content of the RDD passed in.
 *
 * Note that the actual number of partitions created by the RangePartitioner might not be the same
 * as the `partitions` parameter, in the case where the number of sampled records is less than
 * the value of `partitions`.
 */
class RangePartitioner[K : Ordering : ClassTag, V](
    partitions: Int,
    rdd: RDD[_ <: Product2[K, V]],
    private var ascending: Boolean = true)
  extends Partitioner {

  // We allow partitions = 0, which happens when sorting an empty RDD under the default settings.
  require(partitions >= 0, s"Number of partitions cannot be negative but found $partitions.")

  private var ordering = implicitly[Ordering[K]]

  // An array of upper bounds for the first (partitions - 1) partitions
  private var rangeBounds: Array[K] = {
    if (partitions <= 1) {
      Array.empty
    } else {
      // This is the sample size we need to have roughly balanced output partitions, capped at 1M.
      val sampleSize = math.min(20.0 * partitions, 1e6)
      // Assume the input partitions are roughly balanced and over-sample a little bit.
      val sampleSizePerPartition = math.ceil(3.0 * sampleSize / rdd.partitions.size).toInt
      val (numItems, sketched) = RangePartitioner.sketch(rdd.map(_._1), sampleSizePerPartition)
      if (numItems == 0L) {
        Array.empty
      } else {
        // If a partition contains much more than the average number of items, we re-sample from it
        // to ensure that enough items are collected from that partition.
        val fraction = math.min(sampleSize / math.max(numItems, 1L), 1.0)
        val candidates = ArrayBuffer.empty[(K, Float)]
        val imbalancedPartitions = mutable.Set.empty[Int]
        sketched.foreach { case (idx, n, sample) =>
          if (fraction * n > sampleSizePerPartition) {
            imbalancedPartitions += idx
          } else {
            // The weight is 1 over the sampling probability.
            val weight = (n.toDouble / sample.size).toFloat
            for (key <- sample) {
              candidates += ((key, weight))
            }
          }
        }
        if (imbalancedPartitions.nonEmpty) {
          // Re-sample imbalanced partitions with the desired sampling probability.
          val imbalanced = new PartitionPruningRDD(rdd.map(_._1), imbalancedPartitions.contains)
          val seed = byteswap32(-rdd.id - 1)
          val reSampled = imbalanced.sample(withReplacement = false, fraction, seed).collect()
          val weight = (1.0 / fraction).toFloat
          candidates ++= reSampled.map(x => (x, weight))
        }
        RangePartitioner.determineBounds(candidates, partitions)
      }
    }
  }

  def numPartitions: Int = rangeBounds.length + 1

  private var binarySearch: ((Array[K], K) => Int) = CollectionsUtils.makeBinarySearch[K]

  def getPartition(key: Any): Int = {
    val k = key.asInstanceOf[K]
    var partition = 0
    if (rangeBounds.length <= 128) {
      // If we have less than 128 partitions naive search
      while (partition < rangeBounds.length && ordering.gt(k, rangeBounds(partition))) {
        partition += 1
      }
    } else {
      // Determine which binary search method to use only once.
      partition = binarySearch(rangeBounds, k)
      // binarySearch either returns the match location or -[insertion point]-1
      if (partition < 0) {
        partition = -partition-1
      }
      if (partition > rangeBounds.length) {
        partition = rangeBounds.length
      }
    }
    if (ascending) {
      partition
    } else {
      rangeBounds.length - partition
    }
  }

  override def equals(other: Any): Boolean = other match {
    case r: RangePartitioner[_, _] =>
      r.rangeBounds.sameElements(rangeBounds) && r.ascending == ascending
    case _ =>
      false
  }

  override def hashCode(): Int = {
    val prime = 31
    var result = 1
    var i = 0
    while (i < rangeBounds.length) {
      result = prime * result + rangeBounds(i).hashCode
      i += 1
    }
    result = prime * result + ascending.hashCode
    result
  }

  @throws(classOf[IOException])
  private def writeObject(out: ObjectOutputStream): Unit = Utils.tryOrIOException {
    val sfactory = SparkEnv.get.serializer
    sfactory match {
      case js: JavaSerializer => out.defaultWriteObject()
      case _ =>
        out.writeBoolean(ascending)
        out.writeObject(ordering)
        out.writeObject(binarySearch)

        val ser = sfactory.newInstance()
        Utils.serializeViaNestedStream(out, ser) { stream =>
          stream.writeObject(scala.reflect.classTag[Array[K]])
          stream.writeObject(rangeBounds)
        }
    }
  }

  @throws(classOf[IOException])
  private def readObject(in: ObjectInputStream): Unit = Utils.tryOrIOException {
    val sfactory = SparkEnv.get.serializer
    sfactory match {
      case js: JavaSerializer => in.defaultReadObject()
      case _ =>
        ascending = in.readBoolean()
        ordering = in.readObject().asInstanceOf[Ordering[K]]
        binarySearch = in.readObject().asInstanceOf[(Array[K], K) => Int]

        val ser = sfactory.newInstance()
        Utils.deserializeViaNestedStream(in, ser) { ds =>
          implicit val classTag = ds.readObject[ClassTag[Array[K]]]()
          rangeBounds = ds.readObject[Array[K]]()
        }
    }
  }
}

private[spark] object RangePartitioner {

  /**
   * Sketches the input RDD via reservoir sampling on each partition.
   *
   * @param rdd the input RDD to sketch
   * @param sampleSizePerPartition max sample size per partition
   * @return (total number of items, an array of (partitionId, number of items, sample))
   */
  def sketch[K : ClassTag](
      rdd: RDD[K],
      sampleSizePerPartition: Int): (Long, Array[(Int, Long, Array[K])]) = {
    val shift = rdd.id
    // val classTagK = classTag[K] // to avoid serializing the entire partitioner object
    val sketched = rdd.mapPartitionsWithIndex { (idx, iter) =>
      val seed = byteswap32(idx ^ (shift << 16))
      val (sample, n) = SamplingUtils.reservoirSampleAndCount(
        iter, sampleSizePerPartition, seed)
      Iterator((idx, n, sample))
    }.collect()
    val numItems = sketched.map(_._2).sum
    (numItems, sketched)
  }

  /**
   * Determines the bounds for range partitioning from candidates with weights indicating how many
   * items each represents. Usually this is 1 over the probability used to sample this candidate.
   *
   * @param candidates unordered candidates with weights
   * @param partitions number of partitions
   * @return selected bounds
   */
  def determineBounds[K : Ordering : ClassTag](
      candidates: ArrayBuffer[(K, Float)],
      partitions: Int): Array[K] = {
    val ordering = implicitly[Ordering[K]]
    val ordered = candidates.sortBy(_._1)
    val numCandidates = ordered.size
    val sumWeights = ordered.map(_._2.toDouble).sum
    val step = sumWeights / partitions
    var cumWeight = 0.0
    var target = step
    val bounds = ArrayBuffer.empty[K]
    var i = 0
    var j = 0
    var previousBound = Option.empty[K]
    while ((i < numCandidates) && (j < partitions - 1)) {
      val (key, weight) = ordered(i)
      cumWeight += weight
      if (cumWeight >= target) {
        // Skip duplicate values.
        if (previousBound.isEmpty || ordering.gt(key, previousBound.get)) {
          bounds += key
          target += step
          j += 1
          previousBound = Some(key)
        }
      }
      i += 1
    }
    bounds.toArray
  }
}