project-euler-tools

Set of tools for Project Euler

Installation

With npm do:

$ npm install @dn0rmand/project-euler-tools

Examples

BigMap / BigSet

Same as the javascript Map / Set but allows going over the limit of 2^24 entries

const { BigMap, BigSet } = require('@dn0rmand/project-euler-tools');

const m = new BigMap();
const s = new BigSet();

m.set('key', 'value');
s.add('key');

binomial

Helper to calculate n!/p!(n-1)! with memoization

const { binomial } = require('@dn0rmand/project-euler-tools');

console.log(binomial(5, 2)); // n=5 , p=2
console.log(binomial(5n, 2n)); // calculate using BigInt

BitArray

Binary array to store only true(1) or false(0). It uses an Uint8Array array so its max size is 8 times the max size of a Unt8Array

const { BitArray } = require('@dn0rmand/project-euler-tools');

const ar = BitArray(1024);
ar.set(12, true);
ar.get(12);

digits

Returns the digits of a value in a specified base ( defaults to 10 ). Supports both Number and BigInt

const { digits } = require('@dn0rmand/project-euler-tools');

const a = digits(12345); // a = [1,2,3,4,5]
const b = digits(0x12345n, 16); // b = [1, 2, 3, 4, 5]

isPrime

Same as is-number-prime but with a shortcut for numbers lower than 20

DistinctCollection

Collection of distincts numbers

const { DistinctCollection } = require('@dn0rmand/project-euler-tools');

const values = new DistinctCollection();
values.push(1);
values.push(2);
values.push(1);
values.push(3);
values.push(2);

console.log(values.length); // 3
console.log([...values].join(',')); // 1,2,3

divisors

Gets the list of divisors of a number. List is not sorted

const { divisors } = require('@dn0rmand/project-euler-tools');

for(const d of divisors(10)) {
  console.log(d);
}

for(const d of divisors(10, myIsPrimeFunction)) {
  console.log(d);
}

divisors(10, undefined, d => {
  console.log(d);
});

divisorsCount

Gets the number of divisors of a number.

const { divisorsCount } = require('@dn0rmand/project-euler-tools');

console.log(divisorsCount(10));

fibonacci

Calculates the fibonacci value of a number with modulo, using matrix.

const { fibonacci } = require('@dn0rmand/project-euler-tools');

console.log(fibonacci(20000, 1E8));

linearRecurrence

Tries to find a linearRecurrence for a given array of values

polynomial

Tries to find a polynomial for a given set of values

primeHelper

Lots of helpers related to prime numbers including mobius and PHI functions.

primes

Prime generator function.

const { primes } = require('@dn0rmand/project-euler-tools');

const start = 50;
for(const p of primes(start)) {
  if (p > 100) { break; }
  console.log(p);
}

TimeLogger

Allows to calculate how long a process took

const { TimeLogger } = require('@dn0rmand/project-euler-tools');

const result = TimeLogger.wrap('processing', _ => doStuff()); 

result value will be the value returned by doStuff and the elapsed time will be output to the console

Tracer

Helper to trace progress while running long calculations. The trace will be output only if a second elapsed since the previous call to print

const { Tracer } = require('@dn0rmand/project-euler-tools');

const tracer = new Tracer(true);
for (let k = 1; k <= MAX; k++) {
  tracer.print(_ => MAX - k);
  doStuffWithK(k);
}
tracer.clear();

src/numberHelper and src/bigintHelper

Those are automatically included by require('@dn0rmand/project-euler-tools');
They add the following prototypes to Number and BigInt

• gcd(b)
  calculates the greatest common divisor of the value and b

• lcm(b)
  calculates the least common multiple of the value and b

• isCoPrime(b)
  Checks if the value is coprime with b

• modMul(product, modulo)
  calculates (value*product) % modulo

• modPow(power, modulo)
  calculates (value ** power) % modulo

• modInv(modulo)
  calculates the modulo inverse

• modDiv(divisor, modulo)
  calculates (value * product.modInv(modulo)) % modulo

The following prototypes are also added to BigInt

• toExponential(maxDigits)
  Returns the number converted to a string in the exponential format. For example the following code with output 1.23457e11

const v = 123456781234n;
console.log(v.toExponential(5));

• divise(divisor, precision)
  Divides the BigInt value by the divisor (a BigInt too) with the required precision and returns the result as a Number