At the input I get a polynomial as a string, for example "7x^4+3x^3-6x^2+x-8". I want to get its coefficients in variables but I have no idea on how to do this. Maximum degree is not known, coefficients are integers. Also terms of some degree can be absent. I will be very grateful for any help.
I tried to split by "+" and "-" and then by "x^" but I have trouble with x, the term with (unwritten) degree 1.
Also I have tried firstly split by "x" then by "^" and handled exception with "-" but I don't know how to handle exception with missing degrees.
private fun koef(text: String) : List<Int> {
val vars = text.split("x")
val koefList = mutableListOf<Int>()
var count = 1
vars.forEach {
if (it == "-") koefList.add(-1)
else {
if (it[0] == '^')
}
}
return koefList
}
Here's one implementation.
It's slightly more general, allowing the terms to be in any order, and to have surrounding whitespace. But it still assumes that the polynomial is valid, that the powers are non-negative and all different, and that there's at least one term.
You didn't specify the order of coefficients, so this returns them in increasing power (starting with that of x^0, then x^1, &c).
private fun coeffs(polynomial: String): List<Int> {
val terms = polynomial.split(Regex("(?=[+-])")).associate{ term ->
val s = term.split(Regex("x\\^?"))
val coeff = s[0].replace(" ", "")
.let{ when (it){ "", "+" -> 1; "-" -> -1; else -> it.toInt() }}
val power = s.getOrNull(1)?.trim()
.let{ when (it){ null -> 0; "" -> 1; else -> it.toInt() }}
power to coeff
}
val highestPower = terms.keys.max()!!
return (0..highestPower).map{ terms[it] ?: 0 }
}
Sample results:
coeffs("x^2+2x-1") = [-1, 2, 1]
coeffs("2x^3 - 3x^4 - x + 4") = [4, -1, 0, 2, -3]
coeffs("x") = [0, 1]
coeffs("-2") = [-2]
It starts by splitting the string into terms. ((?=[+-]) is a lookahead, which matches an empty string if it's followed by + or -. Full documentation on Java/Kotlin regular expressions is here.)
It then splits each term into a coefficient and power, converts them to numbers, and creates a Map from term to coefficient. (That's quite awkward, as it has to handle several special cases where the numbers and/or signs are missing.) Using a map handles missing powers (and also powers that aren't in order).
Finally, it finds the largest power, and converts the map to a list of coefficients in increasing powers, filling in 0 for missing powers.
I've kept the code short, to show the principle. If it were to be used in production, you should probably make it safer and more efficient, e.g. by checking for invalid input such as empty string, invalid characters, or duplicate powers; and by putting the Regexs in properties so that they don't have to be recreated each time. Some unit tests wouldn't be a bad thing, either!
Related
Here is what I am trying to say:
val firstNumbers = (1..69).random()
val secondNumbers = (1..69).random()
I would like the secondNumbers to omit the random number picked in firstNumbers
If you're just generating two numbers, what you could do is lower the upper bound for secondNumbers down to 68, then add 1 if it's greater than or equal to the first number. This will ensure an even distribution:
val firstNumber = (1..69).random()
var secondNumber = (1..68).random()
if (secondNumber >= firstNumber) {
secondNumber += 1
}
For generating more than 2 numbers, the following code should work:
fun randoms(bound: Int, n: Int): List<Int> {
val mappings = mutableMapOf<Int, Int>()
val ret = mutableListOf<Int>()
for (i in 0 until n) {
val num = (1..(bound - i)).random()
ret.add(mappings.getOrDefault(num, num))
mappings.put(num, mappings.getOrDefault(bound - i, bound - i))
}
return ret
}
It tries to emulate Fisher-Yates shuffling while only keeping track of swaps that happened, thus greatly reducing memory usage when n is much less than bound. If n is very close to bound, then the answer by #lukas.j is much cleaner to use and probably also faster.
It can be used like so:
randoms(69, 6) // might return [17, 36, 60, 48, 69, 21]
(I'd encourage people to double-check the uniformity and correctness of the algorithm, but it seems good to me)
random() is the wrong approach, rather use shuffled() and then take the first two elements from the list with take(). And it is a oneliner:
val (firstNumber, secondNumber) = (1..69).shuffled().take(2)
println(firstNumber)
println(secondNumber)
Another approach could be to find one number in range 1..69, remove that number from the range and find the second one.
val first = (1..69).random()
val second = ((1..69) - first).random()
Edit: As per your comment, you want 6 different numbers within this range. You can do that like this.
val values = (1..69).toMutableList()
val newList = List(6) {
values.random().also { values.remove(it) }
}
I would like to generate random numbers from a union of ranges in Kotlin. I know I can do something like
((1..10) + (50..100)).random()
but unfortunately this creates an intermediate list, which can be rather expensive when the ranges are large.
I know I could write a custom function to randomly select a range with a weight based on its width, followed by randomly choosing an element from that range, but I am wondering if there is a cleaner way to achieve this with Kotlin built-ins.
Suppose your ranges are nonoverlapped and sorted, if not, you could have some preprocessing to merge and sort.
This comes to an algorithm choosing:
O(1) time complexity and O(N) space complexity, where N is the total number, by expanding the range object to a set of numbers, and randomly pick one. To be compact, an array or list could be utilized as the container.
O(M) time complexity and O(1) space complexity, where M is the number of ranges, by calculating the position in a linear reduction.
O(M+log(M)) time complexity and O(M) space complexity, where M is the number of ranges, by calculating the position using a binary search. You could separate the preparation(O(M)) and generation(O(log(M))), if there are multiple generations on the same set of ranges.
For the last algorithm, imaging there's a sorted list of all available numbers, then this list can be partitioned into your ranges. So there's no need to really create this list, you just calculate the positions of your range s relative to this list. When you have a position within this list, and want to know which range it is in, do a binary search.
fun random(ranges: Array<IntRange>): Int {
// preparation
val positions = ranges.map {
it.last - it.first + 1
}.runningFold(0) { sum, item -> sum + item }
// generation
val randomPos = Random.nextInt(positions[ranges.size])
val found = positions.binarySearch(randomPos)
// binarySearch may return an "insertion point" in negative
val range = if (found < 0) -(found + 1) - 1 else found
return ranges[range].first + randomPos - positions[range]
}
Short solution
We can do it like this:
fun main() {
println(random(1..10, 50..100))
}
fun random(vararg ranges: IntRange): Int {
var index = Random.nextInt(ranges.sumOf { it.last - it.first } + ranges.size)
ranges.forEach {
val size = it.last - it.first + 1
if (index < size) {
return it.first + index
}
index -= size
}
throw IllegalStateException()
}
It uses the same approach you described, but it calls for random integer only once, not twice.
Long solution
As I said in the comment, I often miss utils in Java/Kotlin stdlib for creating collection views. If IntRange would have something like asList() and we would have a way to concatenate lists by creating a view, this would be really trivial, utilizing existing logic blocks. Views would do the trick for us, they would automatically calculate the size and translate the random number to the proper value.
I implemented a POC, maybe you will find it useful:
fun main() {
val list = listOf(1..10, 50..100).mergeAsView()
println(list.size) // 61
println(list[20]) // 60
println(list.random())
}
#JvmName("mergeIntRangesAsView")
fun Iterable<IntRange>.mergeAsView(): List<Int> = map { it.asList() }.mergeAsView()
#JvmName("mergeListsAsView")
fun <T> Iterable<List<T>>.mergeAsView(): List<T> = object : AbstractList<T>() {
override val size = this#mergeAsView.sumOf { it.size }
override fun get(index: Int): T {
if (index < 0 || index >= size) {
throw IndexOutOfBoundsException(index)
}
var remaining = index
this#mergeAsView.forEach { curr ->
if (remaining < curr.size) {
return curr[remaining]
}
remaining -= curr.size
}
throw IllegalStateException()
}
}
fun IntRange.asList(): List<Int> = object : AbstractList<Int>() {
override val size = endInclusive - start + 1
override fun get(index: Int): Int {
if (index < 0 || index >= size) {
throw IndexOutOfBoundsException(index)
}
return start + index
}
}
This code does almost exactly the same thing as short solution above. It only does this indirectly.
Once again: this is just a POC. This implementation of asList() and mergeAsView() is not at all production-ready. We should implement more methods, like for example iterator(), contains() and indexOf(), because right now they are much slower than they could be. But it should work efficiently already for your specific case. You should probably test it at least a little. Also, mergeAsView() assumes provided lists are immutable (they have fixed size) which may not be true.
It would be probably good to implement asList() for IntProgression and for other primitive types as well. Also you may prefer varargs version of mergeAsView() than extension function.
As a final note: I guess there are libraries that does this already - probably some related to immutable collections. But if you look for a relatively lightweight solution, it should work for you.
How with what idioms do I achieve the desired effect?
val input = "aaaabbbcca"
val result = input.(here do the transformations)
val output = listOf("a" to 4, "b" to 3, "c" to 2, "a" to 1)
assert(result == output)
Here's a fun way to do it immutably using fold
fun main() {
val result = "aaaabbbcca"
.chunked(1)
.fold(emptyList<Pair<String, Int>>()) { list, current ->
val (prev, count) = list.lastOrNull() ?: Pair(current, 0)
if (prev == current) list.dropLast(1) + Pair(current, count + 1)
else list + Pair(current, 1)
}
val output = listOf("a" to 4, "b" to 3, "c" to 2, "a" to 1)
check(result == output)
println(result)
}
Output:
[(a, 4), (b, 3), (c, 2), (a, 1)]
This is a tricky little problem, and I can't find a particular idiomatic solution.
However, here's one that's quite concise:
val result = input.replace(Regex("(.)(?!\\1)(.)"), "$1§$2")
.split("§")
.map{ Pair(it[0], it.length) }
It uses a complicated little regex to insert a marker character (§ here, though of course it would work with any character that can't be in the input) between every pair of different characters. ((?…) is a zero-width look-ahead assertion, so (?!\1) asserts that the next character is different from the previous one. We need to include the next character in the match, otherwise it'll append a marker after the last character too.)
That gives aaaa§bbb§cc§a in this case.
We then split the string at the marker, giving a list of character groups (in this case "aaaa", "bbb", "cc", "a"), which it's easy to convert into (character,length) pairs.
Using a regex is not always a good solution, especially when it's complicated and unintuitive like this one. So this might not be a good choice in production code. On the other hand, a solution using fold() or reduce() probably wouldn't be that much easier to read, either. In fact, the most maintainable solution might be the old-fashioned one of looping over the characters…
I believe there are no good (efficient, readable) idiomatic ways to solve this. We can use a good, old and boring loop approach. To make it at least a little more funny, we can do it with a lazy computing, utilizing coroutines:
fun String.countConsecutive() = sequence {
if (isEmpty()) return#sequence
val it = iterator()
var curr = it.next()
var count = 1
it.forEach {
if (curr == it) {
count++
} else {
yield(curr.toString() to count)
curr = it
count = 1
}
}
yield(curr.toString() to count)
}
This is good if our string is very long and we only need to iterate over consecutive groups. Even better if we don't need to iterate over all of them.
val listNumbers = generateSequence(1) { it + 1 }
val listNumber1to100 = listNumbers.takeWhile { it < 100 }
val secNum:Unit = listNumber1to100.forEach {it}
println(listNumber1to100.asSequence().filter { it%(listNumber1to100.forEach { it })!=0 }.toList())
I have an error in reminder sign!
This is Error: None of the following functions can be called with the arguments supplied
In your first approach, the error appears in this line:
it%(listNumber1to100.forEach { it })
A Byte, Double, Float, Int, Long or Short is prefered right after the % operator, however, forEach is a function which the return type is Unit.
In your second approach, you have the correct expression in isPrime(Int). Here are some suggestions for you:
listNumber1to100 is excluding 100 in your code, if you want to include 100 in listNumber1to100, the lambda you pass to takeWhile should be changed like this:
val listNumber1to100 = listNumbers.takeWhile { it <= 100 }
listNumber1to100.asSequence() is redundant here since listNumber1too100 is itself a TakeWhileSequence which implements Sequence.
isPrime(Int) is a bit confusing since it is check for isComposite and it does not work for every input it takes(it works for 1 to 99 only). I will rewrite it in this way:
fun isPrime(num: Int): Boolean = if (num <= 1) false else !(2..num/2).any { num % it == 0 }
Since prime number must be positive and 1 is a special case(neither a prime nor composite number), it just return false if the input is smaller or equal to 1. If not, it checks if the input is divisible by a range of number from 2 to (input/2). The range ends before (input/2) is because if it is true for num % (num/2) == 0, it is also true for num % 2 == 0, vise versa. Finally, I add a ! operator before that because a prime number should not be divisible by any of those numbers.
Finally, you can filter a list by isPrime(Int) like this:
println(listNumber1to100.filter(::isPrime).toList())
PS. It is just for reference and there must be a better implementation than this.
To answer your question about it, it represents the only lambda parameter inside a lambda expression. It is always used for function literal which has only one parameter.
The error is because the expression: listNumber1to100.forEach { it } - is not a number, it is a Unit (ref).
The compiler try to match the modulo operator to the given function signatures, e.g.: mod(Byte) / mod(Int) / mod(Long) - etc.
val listNumbers = generateSequence(1) { it + 1 }
val listNumber1to100 = listNumbers.takeWhile { it < 100 }
fun isPrime(num: Int): Boolean = listNumber1to100.asSequence().any { num%it==0 && it!=num && it!=1 }
println(listNumber1to100.asSequence().filter { !isPrime(it)}.toList())
I found this solution and worked
But why can I have a non-number here in the right side of reminder
I am pretty confused with both functions fold() and reduce() in Kotlin, can anyone give me a concrete example that distinguishes both of them?
fold takes an initial value, and the first invocation of the lambda you pass to it will receive that initial value and the first element of the collection as parameters.
For example, take the following code that calculates the sum of a list of integers:
listOf(1, 2, 3).fold(0) { sum, element -> sum + element }
The first call to the lambda will be with parameters 0 and 1.
Having the ability to pass in an initial value is useful if you have to provide some sort of default value or parameter for your operation. For example, if you were looking for the maximum value inside a list, but for some reason want to return at least 10, you could do the following:
listOf(1, 6, 4).fold(10) { max, element ->
if (element > max) element else max
}
reduce doesn't take an initial value, but instead starts with the first element of the collection as the accumulator (called sum in the following example).
For example, let's do a sum of integers again:
listOf(1, 2, 3).reduce { sum, element -> sum + element }
The first call to the lambda here will be with parameters 1 and 2.
You can use reduce when your operation does not depend on any values other than those in the collection you're applying it to.
The major functional difference I would call out (which is mentioned in the comments on the other answer, but may be hard to understand) is that reduce will throw an exception if performed on an empty collection.
listOf<Int>().reduce { x, y -> x + y }
// java.lang.UnsupportedOperationException: Empty collection can't be reduced.
This is because .reduce doesn't know what value to return in the event of "no data".
Contrast this with .fold, which requires you to provide a "starting value", which will be the default value in the event of an empty collection:
val result = listOf<Int>().fold(0) { x, y -> x + y }
assertEquals(0, result)
So, even if you don't want to aggregate your collection down to a single element of a different (non-related) type (which only .fold will let you do), if your starting collection may be empty then you must either check your collection size first and then .reduce, or just use .fold
val collection: List<Int> = // collection of unknown size
val result1 = if (collection.isEmpty()) 0
else collection.reduce { x, y -> x + y }
val result2 = collection.fold(0) { x, y -> x + y }
assertEquals(result1, result2)
Another difference that none of the other answers mentioned is the following:
The result of a reduce operation will always be of the same type (or a super type) as the data that is being reduced.
We can see that from the definition of the reduce method:
public inline fun <S, T : S> Iterable<T>.reduce(operation: (acc: S, T) -> S): S {
val iterator = this.iterator()
if (!iterator.hasNext()) throw UnsupportedOperationException("Empty collection can't be reduced.")
var accumulator: S = iterator.next()
while (iterator.hasNext()) {
accumulator = operation(accumulator, iterator.next())
}
return accumulator
}
On the other hand, the result of a fold operation can be anything, because there are no restrictions when it comes to setting up the initial value.
So, for example, let us say that we have a string that contains letters and digits. We want to calculate the sum of all the digits.
We can easily do that with fold:
val string = "1a2b3"
val result: Int = string.fold(0, { currentSum: Int, char: Char ->
if (char.isDigit())
currentSum + Character.getNumericValue(char)
else currentSum
})
//result is equal to 6
reduce - The reduce() method transforms a given collection into a single result.
val numbers: List<Int> = listOf(1, 2, 3)
val sum: Int = numbers.reduce { acc, next -> acc + next }
//sum is 6 now.
fold - What would happen in the previous case of an empty list? Actually, there’s no right value to return, so reduce() throws a RuntimeException
In this case, fold is a handy tool. You can put an initial value by it -
val sum: Int = numbers.fold(0, { acc, next -> acc + next })
Here, we’ve provided initial value. In contrast, to reduce(), if the collection is empty, the initial value will be returned which will prevent you from the RuntimeException.
Simple Answer
Result of both reduce and fold is "a list of items will be transformed into a single item".
In case of fold,we provide 1 extra parameter apart from list but in case of reduce,only items in list will be considered.
Fold
listOf("AC","Fridge").fold("stabilizer") { freeGift, itemBought -> freeGift + itemBought }
//output: stabilizerACFridge
In above case,think as AC,fridge bought from store & they give stabilizer as gift(this will be the parameter passed in the fold).so,you get all 3 items together.Please note that freeGift will be available only once i.e for the first iteration.
Reduce
In case of reduce,we get items in list as parameters and can perform required transformations on it.
listOf("AC","Fridge").reduce { itemBought1, itemBought2 -> itemBought1 + itemBought2 }
//output: ACFridge
The difference between the two functions is that fold() takes an initial value and uses it as the accumulated value on the first step, whereas the first step of reduce() uses the first and the second elements as operation arguments on the first step.