How to resolve the algorithm Totient function step by step in the Cowgol programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Totient function step by step in the Cowgol programming language
Table of Contents
Problem Statement
The totient function is also known as:
The totient function:
If the totient number (for N) is one less than N, then N is prime.
Create a totient function and: Show all output here.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Totient function step by step in the Cowgol programming language
Source code in the cowgol programming language
include "cowgol.coh";
sub totient(n: uint32): (tot: uint32) is
tot := n;
var i: uint32 := 2;
while i*i <= n loop
if n%i == 0 then
while n%i == 0 loop
n := n/i;
end loop;
tot := tot - tot/i;
end if;
if i == 2 then
i := 1;
end if;
i := i + 2;
end loop;
if n > 1 then
tot := tot - tot/n;
end if;
end sub;
var count: uint16 := 0;
print("N\tTotient\tPrime\n");
var n: uint32 := 1;
while n <= 25 loop
var tot := totient(n);
print_i32(n);
print_char('\t');
print_i32(tot);
print_char('\t');
if n-1 == tot then
count := count + 1;
print("Yes\n");
else
print("No\n");
end if;
n := n + 1;
end loop;
print("Number of primes up to 25:\t");
print_i16(count);
print_nl();
while n <= 100000 loop
tot := totient(n);
if n-1 == tot then
count := count + 1;
end if;
if n == 100 or n == 1000 or n % 10000 == 0 then
print("Number of primes up to ");
print_i32(n);
print(":\t");
print_i16(count);
print_nl();
end if;
n := n + 1;
end loop;
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