How can I make sure my RNG numbers are unique? - nearprotocol

I'm trying to select 2 random items out of a list using the RNG class. The problem is occasionally I get the same 2 numbers and I'd like them to be unique. I tried using a while loop to get another number if the it's the same as the last one but adding even a simple while loop results in an "Exceeded prepaid gas" error. What am I not understanding?
//simplified for posting question
var lengthOfList = 10
var numItemsWanted = 2
//Get more rng numbers than I need incase of duplicates
const rng = new RNG<u32>(lenghtOfList, lengthOfList)
for(let i = 0; i < numItemsWanted; i++) {
var r = rng.next()
while (r == rng.last()) {
r = rng.next()
}
newList.push(oldList[r])
}
Working:
//simplified for posting question
var lengthOfList = 10
var numItemsWanted = 2
//Get more rng numbers than I need incase of duplicates
const rng = new RNG<u32>(lenghtOfList, lengthOfList)
let r = rng.next()
let last = r + 1
for(let i = 0; i < numItemsWanted; i++) {
newList.push(oldList[r])
last = r
r = rng.next()
while (r == last) {
r = rng.next()
}
}

this is about near-sdk-as, the smart contract development kit for AssemblyScript on the NEAR platform
you can see how RNG is used in this example
https://github.com/Learn-NEAR/NCD.L1.sample--lottery/blob/ff6cddaa8cac4d8fe29dd1a19b38a6e3c7045363/src/lottery/assembly/lottery.ts#L12-L13
class Lottery {
private chance: f64 = 0.20
play(): bool {
const rng = new RNG<u32>(1, u32.MAX_VALUE);
const roll = rng.next();
logging.log("roll: " + roll.toString());
return roll <= <u32>(<f64>u32.MAX_VALUE * this.chance);
}
}
and how the constructor is implemented here:
https://github.com/near/near-sdk-as/blob/f3707a1672d6da6f6d6a75cd645f8cbdacdaf495/sdk-core/assembly/math.ts#L152
the first argument is the length of the buffer holding random numbers generated from the seed. you can use the next() method to get more numbers from this buffer with each call
export class RNG<T> {
constructor(len: u32, public max: u32 = 10_000) {
let real_len = len * sizeof<T>();
this.buffer = math.randomBuffer(real_len);
this._last = this.get(0);
}
next(): T {}
}

If you remove the item from oldList once picked, it would be imposible to picked it again.
Another aproach is to shuffle your oldList and then pick the first two items.

Related

Loops and iterations

Is there a way that a function has 2 options of return and the option of return is chosen after a certain interval of iterations?
example:
a function that swaps from "a" to "b" and "b" to "a" after 4 iterations returns:
a
a
a
a
b
b
b
b
a
a
a
a
b
b
b
b
.
.
.
Edit I did something like this to solve the problem:
var counter = 0;
var state = true;
var changeState = function(){
var x = 0
while(x != 12){
if(counter == 4){
counter = 0;
state = !state;
}
if (state){
console.log("a");
} else {
console.log("b")
}
counter += 1;
x += 1
}
}
changeState();
You will need to have a stateful function, as it needs to somehow remember something from previous call(s) that were made to it. This is a so-called side effect, and means that the function is not pure.
For the example you have given, the function would need to know (i.e. have a state with) the number of previous calls (modulo 8), or the previous four returned values, or some mix of this information.
How such a function is implemented, depends on the programming language.
In object oriented programming languages you would create a class with the function as method, and a property reflecting that state. When the function is called, it also updates the state. For instance, in Java:
class MyClass {
int callCount = 0;
char myFunction() {
return "aaaabbbb".charAt(this.callCount++ % 8);
}
}
You would call the function repeatedly like so:
MyClass obj = new MyClass();
for (int i = 0; i < 10; i++) {
System.out.println(obj.myFunction());
}
In JavaScript you could do the same, or you could create a closure:
function createFunction() {
let callCount = 0;
return function myFunction() {
return "aaaabbbb"[callCount++ % 8];
}
}
let myFunction = createFunction();
for (let i = 0; i < 10; i++) {
console.log(myFunction());
}
In Python you can do the same, but it allows also to use default arguments (which are only initialised at function definition time), and so you could define an argument that is an object holding a counter:
def myFunction(counter=[0]):
counter[0] += 1
return "aaaabbbb"[counter[0] % 8]
for _ in range(10):
print(myFunction())
This is of course not an exhaustive list of possibilities, but the essence is that programming languages offer their own ways to construct such stateful functions.
Iterators
Some languages offer a different approach: iterators. This means the function produces a stream of return values. The function can run to produce the first value after which the running state is saved until a new value is requested from it. The function's execution context is then restored to run until it can produce the next value, ...etc.
Here is how that design would look in JavaScript:
function * myIterator() {
let callCount = 0;
while (true) {
yield "aaaabbbb"[callCount++ % 8];
// ^^^^^ a language construct for yielding back to the caller
}
}
let iter = myIterator();
for (let i = 0; i < 10; i++) {
console.log(iter.next().value);
}
When a programming language offers this possibility, it is often preferred over the other alternatives listed earlier.

How do I generate big random numbers in Dart?

The normal Dart Random class supports Random values up to (1 << 32) - 1, which is indeed quite big, but how can I generate numbers, which are much larger than this? (With much larger I mean ((1 << 32) - 1) * 10^50 or something like that.
You can do this by combining multiple random numbers; for example if you want a 64bit random number, you could do:
var r = new Random();
var random1 = r.nextInt(pow(2, 32));
var random2 = r.nextInt(pow(2, 32));
var bigRandom = (random1 << 32) | random2;
print(bigRandom); // 64bit random number
Be aware; if you're running outside of the Dart VM (using dart2js), then you'll be bound by JavaScripts number restrictions. If you need rally big numbers in JavaScript, you'll need a library (and the performance will likely suck).
I did is as rossum suggested: I generated numbers (in decimal system) concatenated them and parsed them and looked if they were among the allowed values ( < maxValue). Algorithm is:
int nextInt(int max) {
int digits = max.toString().length;
var out = 0;
do {
var str = "";
for (int i = 0; i < digits; i++) {
str += this._random.nextInt(10).toString();
}
out = int.parse(str);
} while (out < max);
return out;
}
Here is my implementation in case someone needs it in the future:
class BigRandom {
static final rnd = new Random();
static int nextInt(int max) {
if (max > pow(2, 32)) {
var charCount = max.toString().length;
var seperator = (charCount / 2).floor();
var leftHalf = int.parse(max.toString().substring(0, seperator));
var rightHalf = int.parse(max.toString().substring(seperator));
var rndLeft = nextInt(leftHalf);
var rndRight = nextInt(rightHalf);
return int.parse('$rndLeft$rndRight');
} else {
return rnd.nextInt(max);
}
}
}

How to generate random numbers with out repetition in windows phone app

here is the code for generating random numbers,but I am getting duplicate numbers,how can I overcome this.
void getnumbers()
{
Random r = new Random();
int[] trubyte = new int[4];
for (var x = 0; x < 4; ++x)
{
trubyte[x] = r.Next(1, 5);
}
b1.Content = trubyte[0];
b2.Content = trubyte[1];
b3.Content = trubyte[2];
b4.Content = trubyte[3];
}
Just get another random number if the method returns one that you already have.
void getnumbers()
{
Random r = new Random();
int num;
var trubyte = new List<int>();
for (var x = 0; x < 4; ++x)
{
do
{
num = r.Next(1, 5);
} while(trubyte.Contains(num));
trubyte[x] = num;
}
b1.Content = trubyte[0];
b2.Content = trubyte[1];
b3.Content = trubyte[2];
b4.Content = trubyte[3];
}
I'm using List instead of an array just because it offers the Contains method right away, not any other special reason.
This is not efficient if you want to generate a big list of random, unrepeated numbers (it's O(n^2) in the worst case) but for 4 numbers it's more than enough ;)
A random number generator function can return duplicates, because the output is random.
If you are using an RNG to generate numbers which must be unique, you will need to verify that they have not already been generated before using them.
Can't you use something like this [0] on Windows Mobile? It seems more practical than writing your own RNG.
0: http://msdn.microsoft.com/en-us/library/system.security.cryptography.randomnumbergenerator(v=vs.90).aspx
You have to do it by yourself, that means checking if a number was already generated.
You can do it like gjulianm said, but it is a long list of numbers, say 1000 you would be wasting a lot of time. So if you want a randomized list of 1000 you could proceed the following way
Initialize an array trubyte of size 1000 with trubyte[0]=1,trubyte[1]=2 and so on...
Initialize a variable arraysize=1000
run a loop 1000 times in which first extract a random number k btw 0-(arraysize-1). Your random number is a[k] which you can separately in a list. Now swap trubyte[k] with trubyte[arraysize]. And finally decrease the arraysize by one.
Another way, if you don't want the numbers while in the loop is just to use the changed list after the execution of loop
void getnumbers(){
Random r = new Random();
int num;
int[] trubyte = new int[1000];
int finalList[] = new int[1000]
for (int x = 0; x < 1000; ++x)
{
trubyte[x]=x+1;
}
int arraysize=1000;
for (var x = 0; x < 1000; ++x)
{
int k=r.Next(0, arraysize);
finalList[x]=trubyte[k];
trubyte[k]=trubyte[arraysize-1];
arraysize--;
}
//use the finalList
}
we can use dictionary instead of hash-set in windows phone application.
below is the code for generating distinct random numbers.
static int[] GetRandomNumbersNonrepeat(int noOfRandomNumbers, int maxValue)
{
Dictionary<int, int> randomnumbers = new Dictionary<int, int>();
while (randomnumbers.Count < maxValue)
{
Random r = new Random();
int rnum = r.Next(1, maxValue+1);
if (!randomnumbers.ContainsValue(rnum))
{
randomnumbers.Add(randomnumbers.Count + 1, rnum);
}
}
int[] rnums = randomnumbers.Values.ToArray<int>();
return rnums;
}

how to avoid number repeation by using random class in c#?

hi i am using Random class for getting random numbers but my requirement is once it generate one no that should not be repeate again pls help me.
Keep a list of the generated numbers and check this list before returning the next random.
Since you have not specified a language, I'll use C#
List<int> generated = new List<int>;
public int Next()
{
int r;
do { r = Random.Next() } while generated.Contains(r);
generated.Add(r);
return r;
}
The following C# code shows how to obtain 7 random cards with no duplicates. It is the most efficient method to use when your random number range is between 1 and 64 and are integers:
ulong Card, SevenCardHand;
int CardLoop;
const int CardsInDeck = 52;
Random RandObj = new Random(Seed);
for (CardLoop = 0; CardLoop < 7; CardLoop++)
{
do
{
Card = (1UL << RandObj.Next(CardsInDeck));
} while ((SevenCardHand & Card) != 0);
SevenCardHand |= Card;
}
If the random number range is greater than 64, then the next most efficient way to get random numbers without any duplicates is as follows from this C# code:
const int MaxNums = 1000;
int[] OutBuf = new int[MaxNums];
int MaxInt = 250000; // Reps the largest random number that should be returned.
int Loop, Val;
// Init the OutBuf with random numbers between 1 and MaxInt, which is 250,000.
BitArray BA = new BitArray(MaxInt + 1);
for (Loop = 0; Loop < MaxNums; Loop++)
{
// Avoid duplicate numbers.
for (; ; )
{
Val = RandObj.Next(MaxInt + 1);
if (BA.Get(Val))
continue;
OutBuf[Loop] = Val;
BA.Set(Val, true);
break;
}
}
The drawback with this technique is that it tends to use more memory, but it should be significantly faster than other approaches since it does not have to look through a large container each time a random number is obtained.

Find the index of a given permutation in the sorted list of the permutations of a given string

We're given a string and a permutation of the string.
For example, an input string sandeep and a permutation psdenae.
Find the position of the given permutation in the sorted list of the permutations of the original string.
The total number of permutation of a given string of length n would be n! (if all characters are different), thus it would not be possible to explore all the combinations.
This question is actually like the mathematics P & C question
Find the rank of the word "stack" when arranged in dictionary order.
Given the input string as NILSU
Take a word which we have to find the rank. Take "SUNIL" for example.
Now arrange the letter of "SUNIL" in alphabetical order.
It will be. "I L N S U".
Now take the first letter. Its "I". Now check, is the letter "I" the
first letter of "SUNIL"? No. The number of words that can be formed
starting with I will be 4!, so we know that there will be 4! words
before "SUNIL".
I = 4! = 24
Now go for the second letter. Its "L". Now check once again if this
letter we want in first position? No. So the number of words can be
formed starting with "L" will be 4!.
L = 4! = 24
Now go for "N". Is this we want? No. Write down the number of words
can be formed starting with "N", once again 4!
N = 4! = 24
Now go for "S". Is this what we want? Yes. Now remove the letter from
the alphabetically ordered word. It will now be "I L N U"
Write S and check the word once again in the list. Is we want SI? No.
So the number of words can be formed starting with SI will be 3!
[S]:I-> 3! = 6
Go for L. is we want SL? No. So it will be 3!.
[S]:L-> 3! = 6
Go for N. is we want SN? No.
[S]:N-> 3! = 6
Go for SU. Is this we want? Yes. Cut the letter U from the list and
then it will be "I L N". Now try I. is we want SUI? No. So the number
of words can be formed which starts from SUI will be 2!
[SU]:I-> 2! = 2 Now go for L. Do we want "SUL". No. so the number of
words starting with SUL will be 2!.
[SU]:L-> 2! = 2
Now go for N. Is we want SUN? Yes, now remove that letter. and this
will be "I L". Do we want "SUNI"? Yes. Remove that letter. The only
letter left is "L".
Now go for L. Do we want SUNIL? Yes. SUNIL were the first options, so
we have 1!. [SUN][I][L] = 1! = 1
Now add the whole numbers we get. The sum will be.
24 + 24 + 24 + 6 + 6 + 6 + 2 + 2 + 1 = 95.
So the word SUNIL will be at 95th position if we count the words that can be created using the letters of SUNIL arranged in dictionary order.
Thus through this method you could solve this problem quite easily.
Building off #Algorithmist 's answer, and his comment to his answer, and using the principle discussed in this post for when there are repeated letters, I made the following algorithm in JavaScript that works for all letter-based words even with repeated letter instances.
function anagramPosition(string) {
var index = 1;
var remainingLetters = string.length - 1;
var frequencies = {};
var splitString = string.split("");
var sortedStringLetters = string.split("").sort();
sortedStringLetters.forEach(function(val, i) {
if (!frequencies[val]) {
frequencies[val] = 1;
} else {
frequencies[val]++;
}
})
function factorial(coefficient) {
var temp = coefficient;
var permutations = coefficient;
while (temp-- > 2) {
permutations *= temp;
}
return permutations;
}
function getSubPermutations(object, currentLetter) {
object[currentLetter]--;
var denominator = 1;
for (var key in object) {
var subPermutations = factorial(object[key]);
subPermutations !== 0 ? denominator *= subPermutations : null;
}
object[currentLetter]++;
return denominator;
}
var splitStringIndex = 0;
while (sortedStringLetters.length) {
for (var i = 0; i < sortedStringLetters.length; i++) {
if (sortedStringLetters[i] !== splitString[splitStringIndex]) {
if (sortedStringLetters[i] !== sortedStringLetters[i+1]) {
var permutations = factorial(remainingLetters);
index += permutations / getSubPermutations(frequencies, sortedStringLetters[i]);
} else {
continue;
}
} else {
splitStringIndex++;
frequencies[sortedStringLetters[i]]--;
sortedStringLetters.splice(i, 1);
remainingLetters--;
break;
}
}
}
return index;
}
anagramPosition("ARCTIC") // => 42
I didn't comment the code but I did try to make the variable names as explanatory as possible. If you run it through a debugger process using your dev tools console and throw in a few console.logs you should be able to see how it uses the formula in the above-linked S.O. post.
I tried to implement this in js. It works for string that have no repeated letters but I get a wrong count otherwise. Here is my code:
function x(str) {
var sOrdinata = str.split('').sort()
console.log('sOrdinata = '+ sOrdinata)
var str = str.split('')
console.log('str = '+str)
console.log('\n')
var pos = 1;
for(var j in str){
//console.log(j)
for(var i in sOrdinata){
if(sOrdinata[i]==str[j]){
console.log('found, position: '+ i)
sOrdinata.splice(i,1)
console.log('Nuovo sOrdinata = '+sOrdinata)
console.log('\n')
break;
}
else{
//calculate number of permutations
console.log('valore di j: '+j)
//console.log('lunghezza stringa da permutare: '+str.slice(~~j+1).length);
if(str.slice(j).length >1 ){sub = str.slice(~~j+1)}else {sub = str.slice(j)}
console.log('substring to be used for permutation: '+ sub)
prep = nrepC(sub.join(''))
console.log('prep = '+prep)
num = factorial(sub.length)
console.log('num = '+num)
den = denom(prep)
console.log('den = '+ den)
pos += num/den
console.log(num/den)
console.log('\n')
}
}
}
console.log(pos)
return pos
}
/* ------------ functions used by main --------------- */
function nrepC(str){
var obj={}
var repeats=[]
var res= [];
for(x = 0, length = str.length; x < length; x++) {
var l = str.charAt(x)
obj[l] = (isNaN(obj[l]) ? 1 : obj[l] + 1);
}
//console.log(obj)
for (var i in obj){
if(obj[i]>1) res.push(obj[i])
}
if(res.length==0){res.push(1); return res}
else return res
}
function num(vect){
var res = 1
}
function denom(vect){
var res = 1
for(var i in vect){
res*= factorial(vect[i])
}
return res
}
function factorial (n){
if (n==0 || n==1){
return 1;
}
return factorial(n-1)*n;
}
A bit too late but just as reference... You can use this C# code directly.
It will work but...
The only important thing is that usually, you should have unique values as your starting set. Otherwise you don't have n! permutations. You have something else (less than n!). I have a little doubt of any useful usage when item could be duplicate ones.
using System;
using System.Collections.Generic;
namespace WpfPermutations
{
public class PermutationOuelletLexico3<T>
{
// ************************************************************************
private T[] _sortedValues;
private bool[] _valueUsed;
public readonly long MaxIndex; // long to support 20! or less
// ************************************************************************
public PermutationOuelletLexico3(T[] sortedValues)
{
if (sortedValues.Length <= 0)
{
throw new ArgumentException("sortedValues.Lenght should be greater than 0");
}
_sortedValues = sortedValues;
Result = new T[_sortedValues.Length];
_valueUsed = new bool[_sortedValues.Length];
MaxIndex = Factorial.GetFactorial(_sortedValues.Length);
}
// ************************************************************************
public T[] Result { get; private set; }
// ************************************************************************
/// <summary>
/// Return the permutation relative to the index received, according to
/// _sortedValues.
/// Sort Index is 0 based and should be less than MaxIndex. Otherwise you get an exception.
/// </summary>
/// <param name="sortIndex"></param>
/// <returns>The result is written in property: Result</returns>
public void GetValuesForIndex(long sortIndex)
{
int size = _sortedValues.Length;
if (sortIndex < 0)
{
throw new ArgumentException("sortIndex should be greater or equal to 0.");
}
if (sortIndex >= MaxIndex)
{
throw new ArgumentException("sortIndex should be less than factorial(the lenght of items)");
}
for (int n = 0; n < _valueUsed.Length; n++)
{
_valueUsed[n] = false;
}
long factorielLower = MaxIndex;
for (int index = 0; index < size; index++)
{
long factorielBigger = factorielLower;
factorielLower = Factorial.GetFactorial(size - index - 1); // factorielBigger / inverseIndex;
int resultItemIndex = (int)(sortIndex % factorielBigger / factorielLower);
int correctedResultItemIndex = 0;
for(;;)
{
if (! _valueUsed[correctedResultItemIndex])
{
resultItemIndex--;
if (resultItemIndex < 0)
{
break;
}
}
correctedResultItemIndex++;
}
Result[index] = _sortedValues[correctedResultItemIndex];
_valueUsed[correctedResultItemIndex] = true;
}
}
// ************************************************************************
/// <summary>
/// Calc the index, relative to _sortedValues, of the permutation received
/// as argument. Returned index is 0 based.
/// </summary>
/// <param name="values"></param>
/// <returns></returns>
public long GetIndexOfValues(T[] values)
{
int size = _sortedValues.Length;
long valuesIndex = 0;
List<T> valuesLeft = new List<T>(_sortedValues);
for (int index = 0; index < size; index++)
{
long indexFactorial = Factorial.GetFactorial(size - 1 - index);
T value = values[index];
int indexCorrected = valuesLeft.IndexOf(value);
valuesIndex = valuesIndex + (indexCorrected * indexFactorial);
valuesLeft.Remove(value);
}
return valuesIndex;
}
// ************************************************************************
}
}
My approach to the problem is sort the given permutation.
Number of swappings of the characters in the string will give us the position of the pemutation in the sorted list of permutations.
An inefficient solution would be to successively find the previous permutations until you reach a string that cannot be permuted anymore. The number of permutations it takes to reach this state is the position of the original string.
However, if you use combinatorics you can achieve the solution faster. The previous solution will produce a very slow output if string length exceeds 12.

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