Merge branch 'TheAlgorithms:master' into temp

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* [Count Bits Flip](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_bits_flip.cpp) * [Count Bits Flip](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_bits_flip.cpp)
* [Count Of Set Bits](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_of_set_bits.cpp) * [Count Of Set Bits](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_of_set_bits.cpp)
* [Count Of Trailing Ciphers In Factorial N](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_of_trailing_ciphers_in_factorial_n.cpp) * [Count Of Trailing Ciphers In Factorial N](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_of_trailing_ciphers_in_factorial_n.cpp)
* [Find Non Repeating Number](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/find_non_repeating_number.cpp)
* [Hamming Distance](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/hamming_distance.cpp) * [Hamming Distance](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/hamming_distance.cpp)
* [Set Kth Bit](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/set_kth_bit.cpp) * [Set Kth Bit](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/set_kth_bit.cpp)

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/** /**
* @file * @file
* @brief Quick sort algorithm * @brief [Quick sort implementation](https://en.wikipedia.org/wiki/Quicksort)
* * in C++
* Implementation Details - * @details
* Quick Sort is a divide and conquer algorithm. It picks and element as * Quick Sort is a [divide and conquer
* pivot and partition the given array around the picked pivot. There * algorithm](https://en.wikipedia.org/wiki/Category:Divide-and-conquer_algorithms).
* are many different versions of quickSort that pick pivot in different * It picks an element as pivot and partition the given array around the
* ways. * picked pivot. There are many different versions of quickSort that pick pivot
* in different ways.
* *
* 1. Always pick the first element as pivot * 1. Always pick the first element as pivot
* 2. Always pick the last element as pivot (implemented below) * 2. Always pick the last element as pivot (implemented below)
@ -19,83 +20,219 @@
* than x) before x, and put all greater elements (greater than x) after * than x) before x, and put all greater elements (greater than x) after
* x. All this should be done in linear time * x. All this should be done in linear time
* *
* @author [David Leal](https://github.com/Panquesito7)
* @author [popoapp](https://github.com/popoapp)
*/ */
#include <cstdlib> #include <algorithm> /// for std::is_sorted
#include <iostream> #include <cassert> /// for std::assert
#include <ctime> /// for std::time
#include <iostream> /// for IO operations
#include <vector> /// for std::vector
/**
* @brief Sorting algorithms
* @namespace sorting
*/
namespace sorting { namespace sorting {
/** /**
* @namespace quick_sort
* @brief Functions for the [Quick sort
* implementation](https://en.wikipedia.org/wiki/Quicksort) in C++
*/
namespace quick_sort {
/**
* @brief Sorts the array taking the last element as pivot
* @details
* This function takes last element as pivot, places * This function takes last element as pivot, places
* the pivot element at its correct position in sorted * the pivot element at its correct position in sorted
* array, and places all smaller (smaller than pivot) * array, and places all smaller (smaller than pivot)
* to left of pivot and all greater elements to right * to left of pivot and all greater elements to right of pivot
* of pivot * @tparam T array type
* * @param arr the array with contents given by the user
* @param low first point of the array (starting index)
* @param high last point of the array (ending index)
* @returns index of the smaller element
*/ */
template <typename T>
int partition(int arr[], int low, int high) { int partition(std::vector<T> *arr, const int &low, const int &high) {
int pivot = arr[high]; // taking the last element as pivot T pivot = (*arr)[high]; // taking the last element as pivot
int i = (low - 1); // Index of smaller element int i = (low - 1); // Index of smaller element
for (int j = low; j < high; j++) { for (int j = low; j < high; j++) {
// If current element is smaller than or // If current element is smaller than or
// equal to pivot // equal to pivot
if (arr[j] <= pivot) { if ((*arr)[j] <= pivot) {
i++; // increment index of smaller element i++; // increment index of smaller element
int temp = arr[i]; std::swap((*arr)[i], (*arr)[j]);
arr[i] = arr[j];
arr[j] = temp;
} }
} }
int temp = arr[i + 1];
arr[i + 1] = arr[high]; std::swap((*arr)[i + 1], (*arr)[high]);
arr[high] = temp;
return (i + 1); return (i + 1);
} }
/** /**
* The main function that implements QuickSort * @brief the main function that implements Quick Sort.
* arr[] --> Array to be sorted, *
* low --> Starting index, * Void function used in T (array type) function, which then
* high --> Ending index * can be used as self-tests or other functionalities.
* @tparam T array type
* @param arr array to be sorted
* @param low starting index
* @param high ending index
*/ */
void quickSort(int arr[], int low, int high) { template <typename T>
void quick_sort(std::vector<T> *arr, const int &low, const int &high) {
if (low < high) { if (low < high) {
int p = partition(arr, low, high); int p = partition(arr, low, high);
quickSort(arr, low, p - 1);
quickSort(arr, p + 1, high); quick_sort(arr, low, p - 1);
quick_sort(arr, p + 1, high);
} }
} }
} // namespace sorting /**
* @brief the main function that implements Quick Sort.
*
* T (array type) function which calls the void function. Can
* be used for self-tests and other functionalities.
* @tparam T array type
* @param arr array to be sorted
* @param low starting index
* @param high ending index
*/
template <typename T>
std::vector<T> quick_sort(std::vector<T> arr, const int &low, const int &high) {
if (low < high) {
int p = partition(&arr, low, high);
using sorting::quickSort; quick_sort(&arr, low, p - 1);
quick_sort(&arr, p + 1, high);
}
return arr;
}
// prints the array after sorting /**
void show(int arr[], int size) { * @brief Utility function to print the array contents
* @param arr the array to be printed
* @param size size of the given array
* @returns void
*/
template <typename T>
void show(const std::vector<T> &arr, const int &size) {
for (int i = 0; i < size; i++) std::cout << arr[i] << " "; for (int i = 0; i < size; i++) std::cout << arr[i] << " ";
std::cout << "\n"; std::cout << "\n";
} }
/** Driver program to test above functions */ } // namespace quick_sort
} // namespace sorting
/**
* @brief Self-test implementations
* @returns void
*/
static void tests() {
// 1st test (normal numbers)
std::vector<uint64_t> arr = {5, 3, 8, 12, 14, 16, 28, 96, 2, 5977};
std::vector<uint64_t> arr_sorted = sorting::quick_sort::quick_sort(
arr, 0, int(std::end(arr) - std::begin(arr)) - 1);
assert(std::is_sorted(std::begin(arr_sorted), std::end(arr_sorted)));
std::cout << "\n1st test: passed!\n";
// 2nd test (normal and negative numbers)
std::vector<int64_t> arr2 = {9, 15, 28, 96, 500, -4, -58,
-977, -238, -800, -21, -53, -55};
std::vector<int64_t> arr_sorted2 = sorting::quick_sort::quick_sort(
arr2, 0, std::end(arr2) - std::begin(arr2));
assert(std::is_sorted(std::begin(arr_sorted2), std::end(arr_sorted2)));
std::cout << "2nd test: passed!\n";
// 3rd test (decimal and normal numbers)
std::vector<double> arr3 = {29, 36, 1100, 0, 77, 1,
6.7, 8.97, 1.74, 950.10, -329.65};
std::vector<double> arr_sorted3 = sorting::quick_sort::quick_sort(
arr3, 0, int(std::end(arr3) - std::begin(arr3)) - 1);
assert(std::is_sorted(std::begin(arr_sorted3), std::end(arr_sorted3)));
std::cout << "3rd test: passed!\n";
// 4th test (random decimal and negative numbers)
size_t size = std::rand() % 750 + 100;
std::vector<float> arr4(size);
for (uint64_t i = 0; i < size; i++) {
arr4[i] = static_cast<float>(std::rand()) /
static_cast<float>(RAND_MAX / 999.99 - 0.99) -
250;
}
std::vector<float> arr4_sorted = sorting::quick_sort::quick_sort(
arr4, 0, int(std::end(arr4) - std::begin(arr4)) - 1);
assert(std::is_sorted(std::begin(arr4_sorted), std::end(arr4_sorted)));
std::cout << "4th test: passed!\n";
// Printing all sorted arrays
std::cout << "\n\tPrinting all sorted arrays:\t\n";
std::cout << "1st array:\n";
sorting::quick_sort::show(arr_sorted, std::end(arr) - std::begin(arr));
std::cout << std::endl;
std::cout << "2nd array:\n";
sorting::quick_sort::show(arr_sorted2, std::end(arr2) - std::begin(arr2));
std::cout << std::endl;
std::cout << "3rd array:\n";
sorting::quick_sort::show(arr_sorted3,
int(std::end(arr3) - std::begin(arr3)) - 1);
std::cout << std::endl;
std::cout << "Start: 4th array:\n\n";
sorting::quick_sort::show(
arr4_sorted, int(std::end(arr4_sorted) - std::begin(arr4_sorted)) - 1);
std::cout << "\nEnd: 4th array.\n";
}
/**
* @brief Main function
* @returns 0 on exit
*/
int main() { int main() {
int size; int choice = 0;
std::cout << "\nEnter the number of elements : ";
std::cout << "\tAvailable modes\t\n\n";
std::cout << "1. Self-tests mode\n2. Interactive mode";
std::cout << "\nChoose a mode: ";
std::cin >> choice;
std::cout << "\n";
while ((choice != 1) && (choice != 2)) {
std::cout << "Invalid option. Choose between the valid modes: ";
std::cin >> choice;
}
if (choice == 1) {
std::srand(std::time(nullptr));
tests(); // run self-test implementations
} else if (choice == 2) {
int size = 0;
std::cout << "\nEnter the number of elements: ";
std::cin >> size; std::cin >> size;
std::vector<float> arr(size);
int *arr = new int[size]; std::cout
<< "\nEnter the unsorted elements (can be negative/decimal): ";
std::cout << "\nEnter the unsorted elements : ";
for (int i = 0; i < size; ++i) { for (int i = 0; i < size; ++i) {
std::cout << "\n"; std::cout << "\n";
std::cin >> arr[i]; std::cin >> arr[i];
} }
quickSort(arr, 0, size); sorting::quick_sort::quick_sort(&arr, 0, size - 1);
std::cout << "Sorted array\n"; std::cout << "\nSorted array: \n";
show(arr, size); sorting::quick_sort::show(arr, size);
delete[] arr; }
return 0; return 0;
} }