Number of Cycles from list of values, which are mix of positives and negatives in Spark and Scala - scala

Have an RDD with List of values, which are mix of positives and negatives.
Need to compute number of cycles from this data.
For example,
val range = List(sampleRange(2020,2030,2040,2050,-1000,-1010,-1020,Starting point,-1030,2040,-1020,2050,2040,2020,end point,-1060,-1030,-1010)
the interval between each value in above list is 1 second. ie., 2020 and 2030 are recorded in 1 second interval and so on.
how many times it turns from negative to positive and stays positive for >= 2 seconds.
If >= 2 seconds it is a cycle.
Number of cycles: Logic
Example 1: List(1,2,3,4,5,6,-15,-66)
No. of cycles is 1.
Reason: As we move from 1st element of list to 6th element, we had 5 intervals which means 5 seconds. So one cycle.
As we move to 6th element of list, it is a negative value. So we start counting from 6th element and move to 7th element. The negative values are only 2 and interval is only 1. So not counted as cycle.
Example 2:
List(11,22,33,-25,-36,-43,20,25,28)
No. of cycles is 3.
Reason: As we move from 1st element of list to 3rd element, we had 2 intervals which means 2 seconds. So one cycle As we move to 4th element of list, it is a negative value. So we start counting from 4th element and move to 5th, 6th element. we had 2 intervals which means 2 seconds. So one cycle As we move to 7th element of list, it is a positive value. So we start counting from 7th element and move to 8th, 9th element. we had 2 intervals which means 2 seconds. So one cycle.
range is a RDD in the use case. It looks like
scala> range
range: Seq[com.Range] = List(XtreamRange(858,890,899,920,StartEngage,-758,-790,-890,-720,920,940,950))

You can encode this "how many times it turns from negative to positive and stays positive for >= 2 seconds. If >= 2 seconds it is a cycle." pretty much directly into a pattern match with a guard. The expression if(h < 0 && ht > 0 && hht > 0) checks for a cycle and adds one to the result then continues with the rest of the list.
def countCycles(xs: List[Int]): Int = xs match {
case Nil => 0
case h::ht::hht::t if(h < 0 && ht > 0 && hht > 0) => 1 + countCycles(t)
case h::t => countCycles(t)
}
scala> countCycles(range)
res7: Int = 1

A one liner
range.sliding(3).count{case f::s::t::Nil => f < 0 && s > 0 && t > 0}
This generates all sub-sequences of length 3 and counts how many are -ve, +ve, +ve
Generalising cycle length
def countCycles(n:Int, xs:List[Int]) = xs.sliding(n+1)
.count(ys => ys.head < 0 && ys.tail.forall(_ > 0))

The below code would help you resolve you query.
object CycleCheck {
def main(args: Array[String]) {
var data3 = List(1, 4, 82, -2, -12, "startingpoint", -9, 32, 76,45, -98, 76, "Endpoint", -24)
var data2 = data3.map(x => getInteger(x)).filter(_ != "unknown").map(_.toString.toInt)
println(data2)
var nCycle = findNCycle(data2)
println(nCycle)
}
def getInteger(obj: Any) = obj match {
case n: Int => obj
case _ => "unknown"
}
def findNCycle(obj: List[Int]) : Int = {
var cycleCount =0
var sign = ""
var signCheck="+"
var size = obj.size - 1
var numberOfCycles=0
var i=0
for( x <- obj){
if (x < 0){
sign="-"
}
else if (x > 0){
sign="+"
}
if(signCheck.equals(sign))
cycleCount=cycleCount+1
if(!signCheck.equals(sign) && cycleCount>1){
cycleCount = 1
numberOfCycles=numberOfCycles+1
}
if(size==i && cycleCount>1)
numberOfCycles= numberOfCycles+1
if(cycleCount==1)
signCheck = sign;
i=i+1
}
return numberOfCycles
}
}

Related

Prime numbers print from range 2...100

I have been assigned with a task to print prime numbers from a range 2...100. I've managed to get most of the prime numbers but can't figure out how to get rid of 9 and 15, basically multiples of 3 and 5. Please give me your suggestion on how can I fix this.
for n in 2...20 {
if n % 2 == 0 && n < 3{
print(n)
} else if n % 2 == 1 {
print(n)
} else if n % 3 == 0 && n > 6 {
}
}
This what it prints so far:
2
3
5
7
9
11
13
15
17
19
One of effective algorithms to find prime numbers is Sieve of Eratosthenes. It is based on idea that you have sorted array of all numbers in given range and you go from the beginning and you remove all numbers after current number divisible by this number which is prime number. You repeat this until you check last element in the array.
There is my algorithm which should do what I described above:
func primes(upTo rangeEndNumber: Int) -> [Int] {
let firstPrime = 2
guard rangeEndNumber >= firstPrime else {
fatalError("End of range has to be greater than or equal to \(firstPrime)!")
}
var numbers = Array(firstPrime...rangeEndNumber)
// Index of current prime in numbers array, at the beginning it is 0 so number is 2
var currentPrimeIndex = 0
// Check if there is any number left which could be prime
while currentPrimeIndex < numbers.count {
// Number at currentPrimeIndex is next prime
let currentPrime = numbers[currentPrimeIndex]
// Create array with numbers after current prime and remove all that are divisible by this prime
var numbersAfterPrime = numbers.suffix(from: currentPrimeIndex + 1)
numbersAfterPrime.removeAll(where: { $0 % currentPrime == 0 })
// Set numbers as current numbers up to current prime + numbers after prime without numbers divisible by current prime
numbers = numbers.prefix(currentPrimeIndex + 1) + Array(numbersAfterPrime)
// Increase index for current prime
currentPrimeIndex += 1
}
return numbers
}
print(primes(upTo: 100)) // [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]
print(primes(upTo: 2)) // [2]
print(primes(upTo: 1)) // Fatal error: End of range has to be greater than or equal to 2!
what is the Prime num : Prime numbers are the positive integers having only two factors, 1 and the integer itself,
//Funtion Call
findPrimeNumberlist(fromNumber: 1, toNumber: 100)
//You can print any range Prime number using this fucntion.
func findPrimeNumberlist(fromNumber:Int, toNumber: Int)
{
for i in fromNumber...toNumber
{
var isPrime = true
if i <= 1 { // number must be positive integer
isPrime = false
}
else if i <= 3 {
isPrime = true
}
else {
for j in 2...i/2 // here i am using loop from 2 to i/2 because it will reduces the iteration.
{
if i%j == 0 { // number must have only 1 factor except 1. so use break: no need to check further
isPrime = false
break
}
}
}
if isPrime {
print(i)
}
}
}
func getPrimeNumbers(rangeOfNum: Int) -> [Int]{
var numArr = [Int]()
var primeNumArr = [Int]()
var currentNum = 0
for i in 0...rangeOfNum{
currentNum = i
var counter = 0
if currentNum > 1{
numArr.append(currentNum)
for j in numArr{
if currentNum % j == 0{
counter += 1
}
}
if counter == 1{
primeNumArr.append(currentNum)
}
}
}
print(primeNumArr)
print(primeNumArr.count)
return primeNumArr
}
Then just call the function with the max limit using this
getPrimeNumbers(rangeOfNum: 100)
What is happening in above code:
The numArr is created to keep track of what numbers have been used
Any number that is prime number is added/appended to primeNumArr
Current number shows the number that is being used at the moment
We start from 0 ... upto our range where we need prime numbers upto (with little modification it can be changed if the range starts from other number beside 0)
Remember, for a number to be Prime it should have 2 divisor means should be only completely divisible by 2 numbers. First is 1 and second is itself. (Completely divisible means having remainder 0)
The counter variable is used to keep count of how many numbers divide the current number being worked on.
Since 1 is only has 1 Divisor itself hence its not a Prime number so we start from number > 1.
First as soon as we get in, we add the current number being checked into the number array to keep track of numbers being used
We run for loop to on number array and check if the Current Number (which in our case will always be New and Greater then previous ones) when divided by numbers in numArr leaves a remainder of 0.
If Remainder is 0, we add 1 to the counter.
Since we are already ignoring 1, the max number of counter for a prime number should be 1 which means only divisible by itself (only because we are ignoring it being divisible by 1)
Hence if counter is equal to 1, it confirms that the number is prime and we add it to the primeNumArr
And that's it. This will give you all prime numbers within your range.
PS: This code is written on current version of swift
Optimised with less number of loops
Considered below conditions
Even Number can not be prime number expect 2 so started top loop form 3 adding 2
Any prime number can not multiplier of even number expect 2 so started inner loop form 3 adding 2
Maximum multiplier of any number if half that number
var primeNumbers:[Int] = [2]
for index in stride(from: 3, to: 100, by: 2) {
var count = 0
for indexJ in stride(from: 3, to: index/2, by: 2) {
if index % indexJ == 0 {
count += 1
}
if count == 1 {
break
}
}
if count == 0 {
primeNumbers.append(index)
}
}
print("primeNumbers ===", primeNumbers)
I finally figured it out lol, It might be not pretty but it works haha, Thanks for everyone's answer. I'll post what I came up with if maybe it will help anyone else.
for n in 2...100 {
if n % 2 == 0 && n < 3{
print(n)
} else if n % 3 == 0 && n > 6 {
} else if n % 5 == 0 && n > 5 {
} else if n % 7 == 0 && n > 7{
} else if n % 2 == 1 {
print(n)
}
}

Why is year returning value of 1 when it should be increasing with each loop?

If a flower grows 1cm every year, how long will it take to be 15.24cm?
var year = 0
var length = 0.0
while length <= 15.24 {
if length.truncatingRemainder(dividingBy: 1.0) == 0 {
year += 1
}
length += 0.01
}
print(year)
My approach:
Year increments by 1 each time the length is a whole number (because rate is 1cm/year)
Goal is to calculate how long it'll take to be fully grown (15.24cm)
Year should return 15
Why's it only returning 1?
An example of scaled Int:
var year = 0
var length: Int = 0_00 //1_00 represents 1.00 cm
while length <= 15_24 {
if length % 1_00 == 0 {
year += 1
}
length += 0_01
}
print(year) //-> 16
(Underscores (_) are ignored in Swift numeric literals, it's added just for readability.)
Seems you need to modify a little bit, if you expect 15.

Can't assign a big number to a variable out of the while loop in scala

I want to write a program that can find the N-th number,which only contains factor 2 , 3 or 5.
def method3(n:Int):Int = {
var q2 = mutable.Queue[Int](2)
var q3 = mutable.Queue[Int](3)
var q5 = mutable.Queue[Int](5)
var count = 1
var x:Int = 0
while(count != n){
val minVal = Seq(q2,q3,q5).map(_.head).min
if(minVal == q2.head){
x = q2.dequeue()
q2.enqueue(2*x)
q3.enqueue(3*x)
q5.enqueue(5*x)
}else if(minVal == q3.head){
x = q3.dequeue()
q3.enqueue(3*x)
q5.enqueue(5*x)
}else{
x = q5.dequeue()
q5.enqueue(5*x)
}
count+=1
}
return x
}
println(method3(1000))
println(method3(10000))
println(method3(100000))
The results
51200000
0
0
When the input number gets larger , I get 0 from the function.
But if I change the function to
def method3(n:Int):Int = {
...
q5.enqueue(5*x)
}
if(x > 1000000000) println(('-',x)) //note here!!!
count+=1
}
return x
}
The results
51200000
(-,1006632960)
(-,1007769600)
(-,1012500000)
(-,1019215872)
(-,1020366720)
(-,1024000000)
(-,1025156250)
(-,1033121304)
(-,1036800000)
(-,1048576000)
(-,1049760000)
(-,1054687500)
(-,1061683200)
(-,1062882000)
(-,1073741824)
0
.....
So I don't know why the result equals to 0 when the input number grows larger.
An Int is only 32 bits (4 bytes). You're hitting the limits of what an Int can hold.
Take that last number you encounter: 1073741824. Multiply that by 2 and the result is negative (-2147483648). Multiply it by 4 and the result is zero.
BTW, if you're working with numbers "which only contains factor 2, 3 or 5", in other words the numbers 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, ... etc., then the 1,000th number in that sequence shouldn't be that big. By my calculations the result should only be 1365.

speed up prime number generating

I have written a program that generates prime numbers . It works well but I want to speed it up as it takes quite a while for generating the all the prime numbers till 10000
var list = [2,3]
var limitation = 10000
var flag = true
var tmp = 0
for (var count = 4 ; count <= limitation ; count += 1 ){
while(flag && tmp <= list.count - 1){
if (count % list[tmp] == 0){
flag = false
}else if ( count % list[tmp] != 0 && tmp != list.count - 1 ){
tmp += 1
}else if ( count % list[tmp] != 0 && tmp == list.count - 1 ){
list.append(count)
}
}
flag = true
tmp = 0
}
print(list)
Two simple improvements that will make it fast up through 100,000 and maybe 1,000,000.
All primes except 2 are odd
Start the loop at 5 and increment by 2 each time. This isn't going to speed it up a lot because you are finding the counter example on the first try, but it's still a very typical improvement.
Only search through the square root of the value you are testing
The square root is the point at which a you half the factor space, i.e. any factor less than the square root is paired with a factor above the square root, so you only have to check above or below it. There are far fewer numbers below the square root, so you should check the only the values less than or equal to the square root.
Take 10,000 for example. The square root is 100. For this you only have to look at values less than the square root, which in terms of primes is roughly 25 values instead of over 1000 checks for all primes less than 10,000.
Doing it even faster
Try another method altogether, like a sieve. These methods are much faster but have a higher memory overhead.
In addition to what Nick already explained, you can also easily take advantage of the following property: all primes greater than 3 are congruent to 1 or -1 mod 6.
Because you've already included 2 and 3 in your initial list, you can therefore start with count = 6, test count - 1 and count + 1 and increment by 6 each time.
Below is my first attempt ever at Swift, so pardon the syntax which is probably far from optimal.
var list = [2,3]
var limitation = 10000
var flag = true
var tmp = 0
var max = 0
for(var count = 6 ; count <= limitation ; count += 6) {
for(var d = -1; d <= 1; d += 2) {
max = Int(floor(sqrt(Double(count + d))))
for(flag = true, tmp = 0; flag && list[tmp] <= max; tmp++) {
if((count + d) % list[tmp] == 0) {
flag = false
}
}
if(flag) {
list.append(count + d)
}
}
}
print(list)
I've tested the above code on iswift.org/playground with limitation = 10,000, 100,000 and 1,000,000.

Check a multiple in Swift?

I am trying to find the odd numbers and a multiple of 7 between a 1 to 100 and append them into an array. I have got this far:
var results: [Int] = []
for n in 1...100 {
if n / 2 != 0 && 7 / 100 == 0 {
results.append(n)
}
}
Your conditions are incorrect. You want to use "modular arithmetic"
Odd numbers are not divisible by 2. To check this use:
if n % 2 != 0
The % is the mod function and it returns the remainder of the division (e.g. 5 / 2 is 2.5 but integers don't have decimals, so the integer result is 2 with a remainder of 1 and 5 / 2 => 2 and 5 % 2 => 1)
To check if it's divisible by 7, use the same principle:
if n % 7 == 0
The remainder is 0 if the dividend is divisible by the divisor. The complete if condition is:
if n % 2 != 0 && n % 7 == 0
You can also use n % 2 == 1 because the remainder is always 1. The result of any mod function, a % b, is always between 0 and b - 1.
Or, using the new function isMultiple(of:, that final condition would be:
if !n.isMultiple(of: 2) && n.isMultiple(of: 7)
Swift 5:
Since Swift 5 has been released, you could use isMultiple(of:) method.
In your case, you should check if it is not multiple of ... :
if !n.isMultiple(of: 2)
Swift 5 is coming with isMultiple(of:) method for integers , so you can try
let res = Array(1...100).filter { !$0.isMultiple(of:2) && $0.isMultiple(of:7) }
Here is an efficient and concise way of getting the odd multiples of 7 less than or equal to 100 :
let results: [Int] = Array(stride(from: 7, through: 100, by: 14))
You can also use the built-in filter to do an operation on only qualified members of an array. Here is how that'd go in your case for example
var result = Array(1...100).filter { (number) -> Bool in
return (number % 2 != 0 && number % 7 == 0)
}
print(result) // will print [7, 21, 35, 49, 63, 77, 91]
You can read more about filter in the doc but here is the basics: it goes through each element and collects elements that return true on the condition. So it filters the array and returns what you want