How to resolve the algorithm Totient function step by step in the PL/I programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Totient function step by step in the PL/I 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 PL/I programming language
Source code in the pl/i programming language
totientFunction: procedure options(main);
totient: procedure(nn) returns(fixed);
declare (nn, n, i, tot) fixed;
n = nn;
tot = n;
do i=2 repeat(i+2) while(i*i <= n);
if mod(n,i) = 0 then do;
do while(mod(n,i) = 0);
n = n / i;
end;
tot = tot - tot / i;
end;
if i=2 then i=1;
end;
if n>1 then tot = tot - tot/n;
return(tot);
end totient;
showPrimeCount: procedure(n, primeCount);
declare (n, primeCount) fixed;
put skip edit('There are', primeCount, ' primes up to', n) (A,F(5),A,F(6));
end showPrimeCount;
declare (n, primeCount, tot) fixed;
do n = 1 to 25;
tot = totient(n);
put edit('phi(', n, ') = ', tot) (A,F(2),A,F(2));
if tot = n-1 then do;
put list('; prime');
primeCount = primeCount + 1;
end;
put skip;
end;
call showPrimeCount(25, primeCount);
do n = 26 to 10000;
if totient(n) = n-1 then primeCount = primeCount + 1;
if n=100 | n=1000 | n=10000 then
call showPrimeCount(n, primeCount);
end;
end totientFunction;
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