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Adding algorithm to check if number is prime or not. (TheAlgorithms#834)
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* Optimized algorithm to check if number is prime or not.

* logic to check if given number is prime or not.

* logic to check if given number is prime or not.

* logic to check if given number is prime or not.

* logic to check if given number is prime or not.

* Included appropriate comments as per standards.

* variable name renamed to num

* added @file and @brief in comment. Also added template and variable name changed from is_prime to result

* added @file and @brief in comment. Also added template and variable name changed from is_prime to result

* added template parameter T type in loop
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omkarlanghe authored Jun 13, 2020
1 parent 2829734 commit 0265571
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58 changes: 58 additions & 0 deletions math/check_prime.cpp
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/**
* Copyright 2020 @author omkarlanghe
*
* @file
* A simple program to check if the given number if prime or not.
*
* @brief
* Reduced all possibilities of a number which cannot be prime.
* Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only.
* If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime.
*/
#include <iostream>
#include <cassert>
/**
* Function to check if the given number is prime or not.
* @param num number to be checked.
* @return if number is prime, it returns @ true, else it returns @ false.
*/
template<typename T>
bool is_prime(T num) {
bool result = true;
if (num <= 1) {
return 0;
} else if (num == 2) {
return 1;
} else if ((num & 1) == 0) {
return 0;
}
if (num >= 3) {
for (T i = 3 ; (i*i) < (num) ; i = (i + 2)) {
if ((num % i) == 0) {
result = false;
break;
}
}
}
return (result);
}

/**
* Main function
*/
int main() {
int num;
std::cout << "Enter the number to check if it is prime or not" <<
std::endl;
std::cin >> num;
bool result = is_prime(num);
if (result) {
std::cout << num << " is a prime number" <<
std::endl;
} else {
std::cout << num << " is not a prime number" <<
std::endl;
}
assert(is_prime(50) == false);
assert(is_prime(115249) == true);
}

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