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Pawel Czajka
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Dec 18, 2024
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58 changes: 58 additions & 0 deletions
58
...ala/pl/touk/nussknacker/engine/flink/util/transformer/aggregate/median/MedianHelper.scala
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package pl.touk.nussknacker.engine.flink.util.transformer.aggregate.median | ||
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import pl.touk.nussknacker.engine.api.typed.supertype.NumberTypesPromotionStrategy.{ | ||
ForLargeFloatingNumbersOperation, | ||
} | ||
import pl.touk.nussknacker.engine.util.MathUtils | ||
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import scala.annotation.tailrec | ||
import scala.util.Random | ||
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object MedianHelper { | ||
private val rand = new Random(42) | ||
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def calculateMedian(numbers: List[Number]): Option[Number] = { | ||
if (numbers.isEmpty) { | ||
None | ||
} else if (numbers.size % 2 == 1) { | ||
Some(MathUtils.convertToPromotedType(quickSelect(numbers, (numbers.size - 1) / 2))(ForLargeFloatingNumbersOperation)) | ||
} else { | ||
// it is possible to fetch both numbers with single recursion, but it would complicate code | ||
val firstNumber = quickSelect(numbers, numbers.size / 2 - 1) | ||
val secondNumber = quickSelect(numbers, numbers.size / 2) | ||
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val sum = MathUtils.largeFloatingSum(firstNumber, secondNumber) | ||
Some(MathUtils.divideWithDefaultBigDecimalScale(sum, 2)) | ||
} | ||
} | ||
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// https://en.wikipedia.org/wiki/Quickselect | ||
@tailrec | ||
private def quickSelect(numbers: List[Number], indexToTake: Int): Number = { | ||
require(numbers.nonEmpty) | ||
require(indexToTake >= 0) | ||
require(indexToTake < numbers.size) | ||
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val randomElement = numbers(rand.nextInt(numbers.size)) | ||
val groupedBy = numbers.groupBy(e => { | ||
val cmp = MathUtils.compare(e, randomElement) | ||
if (cmp < 0) { | ||
-1 | ||
} else if (cmp == 0) { | ||
0 | ||
} else 1 | ||
}) | ||
val smallerNumbers = groupedBy.getOrElse(-1, Nil) | ||
val equalNumbers = groupedBy.getOrElse(0, Nil) | ||
val largerNumbers = groupedBy.getOrElse(1, Nil) | ||
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if (indexToTake < smallerNumbers.size) { | ||
quickSelect(smallerNumbers, indexToTake) | ||
} else if (indexToTake < smallerNumbers.size + equalNumbers.size) { | ||
equalNumbers(indexToTake - smallerNumbers.size) | ||
} else { | ||
quickSelect(largerNumbers, indexToTake - smallerNumbers.size - equalNumbers.size) | ||
} | ||
} | ||
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} |
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