mirror of
https://github.com/TheAlgorithms/C-Plus-Plus.git
synced 2026-04-13 17:50:45 +08:00
feat: update CMake version to 3.26.4 (#2486)
* update cmake version
* clang-format and clang-tidy fixes for 402c5627
---------
Co-authored-by: David Leal <halfpacho@gmail.com>
Co-authored-by: github-actions[bot] <github-actions@users.noreply.github.com>
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@@ -1,13 +1,14 @@
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/**
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* @file
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* @brief
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* A simple program to check if the given number is [Prime](https://en.wikipedia.org/wiki/Primality_test) or not.
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* A simple program to check if the given number is
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* [Prime](https://en.wikipedia.org/wiki/Primality_test) or not.
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* @details
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* A prime number is any number that can be divided only by itself and 1. It must
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* be positive and a whole number, therefore any prime number is part of the
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* set of natural numbers. The majority of prime numbers are even numbers, with
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* the exception of 2. This algorithm finds prime numbers using this information.
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* additional ways to solve the prime check problem:
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* A prime number is any number that can be divided only by itself and 1. It
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* must be positive and a whole number, therefore any prime number is part of
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* the set of natural numbers. The majority of prime numbers are even numbers,
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* with the exception of 2. This algorithm finds prime numbers using this
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* information. additional ways to solve the prime check problem:
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* https://cp-algorithms.com/algebra/primality_tests.html#practice-problems
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* @author [Omkar Langhe](https://github.com/omkarlanghe)
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* @author [ewd00010](https://github.com/ewd00010)
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@@ -21,37 +22,37 @@
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* @namespace
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*/
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namespace math {
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/**
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* @brief Function to check if the given number is prime or not.
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* @param num number to be checked.
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* @return true if number is a prime
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* @return false if number is not a prime.
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/**
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* @brief Function to check if the given number is prime or not.
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* @param num number to be checked.
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* @return true if number is a prime
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* @return false if number is not a prime.
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*/
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bool is_prime(int64_t num) {
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/*!
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* Reduce all possibilities of a number which cannot be prime with the first
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* 3 if, else if conditionals. Example: Since no even number, except 2 can
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* be a prime number and the next prime we find after our checks is 5,
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* we will start the for loop with i = 5. then for each loop we increment
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* i by +6 and check if i or i+2 is a factor of the number; if it's a factor
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* then we will return false. otherwise, true will be returned after the
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* loop terminates at the terminating condition which is i*i <= num
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*/
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bool is_prime(int64_t num) {
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/*!
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* Reduce all possibilities of a number which cannot be prime with the first
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* 3 if, else if conditionals. Example: Since no even number, except 2 can
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* be a prime number and the next prime we find after our checks is 5,
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* we will start the for loop with i = 5. then for each loop we increment
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* i by +6 and check if i or i+2 is a factor of the number; if it's a factor
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* then we will return false. otherwise, true will be returned after the
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* loop terminates at the terminating condition which is i*i <= num
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*/
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if (num <= 1) {
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return false;
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} else if (num == 2 || num == 3) {
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return true;
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} else if (num % 2 == 0 || num % 3 == 0) {
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return false;
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} else {
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for (int64_t i = 5; i * i <= num; i = i + 6) {
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if (num % i == 0 || num % (i + 2) == 0) {
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return false;
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}
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if (num <= 1) {
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return false;
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} else if (num == 2 || num == 3) {
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return true;
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} else if (num % 2 == 0 || num % 3 == 0) {
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return false;
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} else {
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for (int64_t i = 5; i * i <= num; i = i + 6) {
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if (num % i == 0 || num % (i + 2) == 0) {
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return false;
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}
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}
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return true;
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}
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return true;
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}
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} // namespace math
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/**
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