How to resolve the algorithm Tau function step by step in the EMal programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Tau function step by step in the EMal programming language

Table of Contents

Problem Statement

Given a positive integer, count the number of its positive divisors.

Show the result for the first   100   positive integers.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Tau function step by step in the EMal programming language

Source code in the emal programming language

fun divisorCount = int by int n
  int total = 1
  for ; (n & 1) == 0; n /= 2 do ++total end
  for int p = 3; p * p <= n; p += 2
    int count = 1
    for ; n % p == 0; n /= p do ++count end
    total *= count
  end
  if n > 1 do total *= 2 end
  return total
end
int limit = 100
writeLine("Count of divisors for the first " + limit + " positive integers:")
for int n = 1; n <= limit; ++n
  text value = text!divisorCount(n)
  write((" " * (3 - value.length)) + value)
  if n % 20 == 0 do writeLine() end
end

  

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