How to resolve the algorithm Primality by Wilson's theorem step by step in the Action! programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Primality by Wilson's theorem step by step in the Action! programming language
Table of Contents
Problem Statement
Write a boolean function that tells whether a given integer is prime using Wilson's theorem. By Wilson's theorem, a number p is prime if and only if p divides (p - 1)! + 1. Remember that 1 and all non-positive integers are not prime.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Primality by Wilson's theorem step by step in the Action! programming language
Source code in the action! programming language
;;; returns TRUE(1) if p is prime by Wilson's theorem, FALSE(0) otherwise
;;; computes the factorial mod p at each stage, so as to allow
;;; for numbers whose factorial won't fit in 16 bits
BYTE FUNC isWilsonPrime( CARD p )
CARD i, factorial_mod_p
BYTE result
factorial_mod_p = 1
FOR i = 2 TO p - 1 DO
factorial_mod_p = ( factorial_mod_p * i ) MOD p
OD
IF factorial_mod_p = p - 1 THEN result = 1 ELSE result = 0 FI
RETURN( result )
PROC Main()
CARD i
FOR i = 1 TO 100 DO
IF isWilsonPrime( i ) THEN
Put(' ) PrintC( i )
FI
OD
RETURN
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