case object EdgePartition2D extends PartitionStrategy {
override def getPartition(src: VertexId, dst: VertexId, numParts: PartitionID): PartitionID = {
val ceilSqrtNumParts: PartitionID = math.ceil(math.sqrt(numParts)).toInt
val mixingPrime: VertexId = 1125899906842597L
if (numParts == ceilSqrtNumParts * ceilSqrtNumParts) {
// Use old method for perfect squared to ensure we get same results
val col: PartitionID = (math.abs(src * mixingPrime) % ceilSqrtNumParts).toInt
val row: PartitionID = (math.abs(dst * mixingPrime) % ceilSqrtNumParts).toInt
(col * ceilSqrtNumParts + row) % numParts
} else {
// Otherwise use new method
val cols = ceilSqrtNumParts
val rows = (numParts + cols - 1) / cols
val lastColRows = numParts - rows * (cols - 1)
val col = (math.abs(src * mixingPrime) % numParts / rows).toInt
val row = (math.abs(dst * mixingPrime) % (if (col < cols - 1) rows else lastColRows)).toInt
col * rows + row
}
}
}</span>
首先,乘以大素数,是大素数不含numpartitions这个数的因子,所以不会出现所有模值都是0的情况,避免数据倾斜;
其次,乘以一个数并不会使分布改变,但为乘以大数就可以改变了,为啥,是因为乘以大的数会溢出,然后取absolute value就会得到近似随机的数了。