## Friday, March 16, 2018

### Fisher-Yates Shuffle in Scala

Target audience: Intermediate

This post describes the Fisher-Yates algorithm to shuffle randomly a sequence of objects.

Overview
The generation of a sequence of randomly ordered elements from an existing sequence is a common problem. How can you be sure if the new sequence of items is actually randomly generated?
The Fisher-Yates shuffle algorithm (a.k.a. Donald Knuth shuffle) produces unbiased permutations with a similar likelihood.
One important benefit of Fisher-Yates is the ability to shuffle the elements of the sequence, in place.

Note:
There are several interpretations of the shuffling algorithm. This post describes the implementation of the most common Fisher-Yates algorithm

Fisher-Yates
Here is the Fisher-Yates in a nutshell;Let's consider an array arr of n elements
For each array index k from n-1 to 1
Select a random value m  between k and 0
Swap arr[r] and arr[k]
  1 2 3 4 5 6 7 8 9 10 11 12 def fisherYates[T](t: Seq[T]): Seq[T] = { setSeed(System.currentTimeMillis) (0 until t.size).foreach (n => { val randomIdx = n + nextInt(t.size-n) val tmp = t(randomIdx) t.update(randomIdx, t(n)) t(n) = tmp }) t } 

The Fisher-Yates algorithm executes as an iteration with the following two steps:
• Select a random item in the remaining sequence< (line 6)/li>
• Swap the randomly selected item with the current item (lines 8,9)

Fast Fisher-Yates implementation
The performance of the Fisher-Yates algorithm can be improved by implementing the swapping of the randomly selected item with the current time in-place using bit manipulation operators.

  1 2 3 4 5 6 7 8 9 10 11 12 def fisherYates2(seq: mutable.Seq[Int]): IndexedSeq[Int] = { require(seq.size > 0, "Undefined argument") setSeed(System.currentTimeMillis) (0 until seq.size).map(i => { var randomIdx: Int = i + nextInt(seq.size-i) seq(randomIdx) ^= seq(i) seq(i) = seq(randomIdx) ^ seq(i) seq(randomIdx) ^= (seq(i)) seq(i) }) } 

The following code snippet tests the two implementations of the Fisher-Yates shuffling algorithm.
  val input = Array[Char](
'a', 't', '4', '&', '9', '2', 'z', 'y', 'r', '8', '*', '?'
)
println(fisherYates[Char](input).mkString(","))
// t,&,*,2,a,r,4,z,?,y,8,9

println(fisherYates2(Array.tabulate(34)(n => n)).mkString(","))
// 9,24,11,29,1,31,28,20,6,18,23,0,13,17,22,0,27,
// 4,16,7,25,14,30,32,5,12,8,19,21,0,0,33,26,0

Note:
Scala standard library provides developers with a shuffling method: Random.shuffle.

References

1. Seq is not mutable.

def fisherYates[T](t: Buffer[T]): Buffer[T] = {

r.setSeed(System.currentTimeMillis)

(0 until t.size).foreach (n => {
println(n)
val randomIdx = n + r.nextInt(t.size-n)
val tmp = t(randomIdx)
t.update(randomIdx, t(n))
t(n) = tmp
})
t
}

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ค้นหาความคิดเห็นจากเพื่อนเกมเมอร์ ยังเลือกคาสิโนที่มีชื่อเสียงที่สุด บางเว็บไซต์มีการตรวจสอบสถานะและมีฟอรัมสาหรับผู้เล่นจานวนมาก ด้วยวิธีนี้ คุณจะมีความคิดที่ดีขึ้นว่าเกมสล็อตใดเกมหนึ่งยุติธรรมหรือไม่ และคุณควรเดิมพันเท่าไร การเล่นบนเว็บไซต์ที่มีชื่อเสียงย่อมดีกว่าเว็บไซต์ที่มีชื่อเสียงน้อยกว่าเสมอ ในบรรดาตัวเลือกออนไลน์ที่หลากหลาย การเลือกคาสิโนที่มีชื่อเสียงเป็นสิ่งสาคัญ ตรวจสอบให้แน่ใจว่าคาสิโนมีชื่อเสียงที่ยอดเยี่ยมเพื่อหลีกเลี่ยงการหลอกลวง ด้วยการค้นหาโดย Google อย่างรวดเร็ว คุณจะพบบทวิจารณ์คาสิโนที่ให้ผลตอบแทนดีที่สุด บางเว็บไซต์มีฟอรัมที่ผู้เล่นสามารถพูดคุยเกี่ยวกับประสบการณ์ของตนกับคาสิโนได้ เมื่อคุณเลือกคาสิโนออนไลน์ ให้หาข้อมูลก่อนเล่นเสมอ และถ้าคุณมีเวลาลองอ่านรีวิวคาสิโนก่อนเริ่มเล่น สมัครสล็อต ก่อนเล่นเกมสล็อตออนไลน์ คุณควรศึกษาข้อมูลให้ดีเสียก่อน คุณต้องการค้นหาคาสิโนที่ขึ้นชื่อเรื่องความซื่อสัตย์และความน่าเชื่อถือ เป็นความคิดที่ดีที่จะอ่านบทวิจารณ์ของผู้ใช้ในไซต์ต่างๆ แม้ว่าบางเว็บไซต์จะใหม่ แต่บางเว็บไซต์ก็เป็นที่ยอมรับและมีประวัติที่พิสูจน์แล้ว ไม่ต้องกังวลหากคุณสามารถไว้วางใจคาสิโนด้วยเงินของคุณ อันที่จริงแล้ว ไม่มีอะไรสาคัญไปกว่าความสนุกสนานขณะเล่น มีคาสิโนออนไลน์มากมายที่ให้บริการเกมสล็อต และสิ่งสาคัญคือต้องเลือกคาสิโนที่มีชื่อเสียงเพื่อให้แน่ใจว่าคุณมีประสบการณ์ที่ดี คาสิโนที่ดีจะมีการรีวิวจากผู้เล่นจริง และบางแห่งก็จะมีบริการลูกค้าที่พร้อมให้บริการทุกวันตลอด 24 ชั่วโมง คุณควรรู้ว่าคุณกาลังทาอะไรอยู่เมื่อเล่นออนไลน์ คุณจะต้องการเล่นเพื่อความสนุกสนาน แต่คุณไม่ควรถูกล่อลวงให้เสี่ยงเงินของคุณ!

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37. 우리카지노는 대한민국의 바카라 업계를 장악하고 있는카지노사이트 입니다. 우리카지노가 대한 민국에서 장악한 바카라 시장점유율이 50%가 넘고 10년 넘게 온라인 바카라 시장을 장악해왔기 때문에 대한민국에서는 우리카지노를 모르는 사람은 드뭅니다. 이런 바카라 업계의 독보적인 입지 때문에 늘 유명하거나 최고만을 찾는 사람들이 카지노사이트를 찾을때는 늘
우리카지노를 찾습니다.바카라를 처음 시작하시는 초보자분들에게도 우리카지노에서 카지노사이트를 시작하시기 좋은 환경입니다. 우리카지노사이트에서는 신규가입시 3만쿠폰을 지급 해주기 때문입니다. 사람들이 늘 1등만을 찾는 이유는 분명 있습니다. 다른 카지노사이트와는 달리 우리카지노를 이용하실시 에이전트를 끼고 게임을 하신다면 본사 이외에 활동쿠폰 및 오링쿠폰을 별도로 제공해주고 있기 때문입니다. 이러한 이유들 때문에 카지노사이트 업계에서 바카라를 즐기신다면 다들 우리카지노를 선호 하십니다. 카지노사이트에서 바카라를 이기기 물론 어렵습니다. 하지만 우리카지노의 에이전트를 끼고 바카라를 즐기신다면 승산이 있다고 봅니다. 우리카지노 에이전트의 연락처는 홈페이지로 연락하시면 언제든지 부담없이 소통가능 합니다. 카지노사이트를 선정할때는 바카라를 다른곳보다 유리하게 즐길 수 있는 카지노를 선택해야한다고 생각합니다. 그것이 바로 우리카지노 입니다. 이상으로 우리카지노와
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