This commit is contained in:
unknown
2020-08-26 22:55:15 +05:30
8 changed files with 466 additions and 86 deletions

167
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@@ -0,0 +1,167 @@
---
Language: Cpp
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DisableFormat: false
ExperimentalAutoDetectBinPacking: false
FixNamespaceComments: true
ForEachMacros:
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@@ -16,7 +16,7 @@ jobs:
- name: requirements
run: |
sudo apt -qq -y update
sudo apt -qq install clang-tidy-10
sudo apt -qq install clang-tidy-10 clang-format-10
# checks are passing with less errors when used with this version.
# The default installs v6.0 which did not work out well in my tests
- name: Setup Git Specs
@@ -44,7 +44,7 @@ jobs:
git "mv" "${fname}" ${new_fname}
fi
done
git commit -am "formatting filenames $GITHUB_SHA" || true
git commit -am "formatting filenames ${GITHUB_SHA::8}" || true
- name: Update DIRECTORY.md
shell: python
@@ -124,15 +124,9 @@ jobs:
subprocess.run(["clang-tidy-10", "--fix", "-p=build", "--extra-arg=-std=c++11", *cpp_files, "--"],
check=True, text=True, stderr=subprocess.STDOUT)
# for cpp_file in cpp_files:
# subprocess.run(["clang-tidy-10", "--fix", "-p=build", cpp_file, "--"],
# check=True, text=True, stderr=subprocess.STDOUT)
# print("g++:")
# compile_exts = tuple(".c .c++ .cc .cpp .cu .cxx".split())
# compile_files = [file for file in cpp_files if file.lower().endswith(compile_exts)]
# for cpp_file in cpp_files:
# subprocess.run(["g++", cpp_file], check=True, text=True)
subprocess.run(["clang-format-10", "-i", "-style=file", *cpp_files],
check=True, text=True, stderr=subprocess.STDOUT)
upper_files = [file for file in cpp_files if file != file.lower()]
if upper_files:
@@ -155,7 +149,7 @@ jobs:
- name: Commit and push changes
run: |
git diff DIRECTORY.md
git commit -am "clang-tidy fixes for $GITHUB_SHA" || true
git commit -am "clang-format and clang-tidy fixes for ${GITHUB_SHA::8}" || true
git push --force origin HEAD:$GITHUB_REF || true
build:

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@@ -23,7 +23,8 @@ We are very happy that you consider implementing algorithms and data structures
- Please use the directory structure of the repository.
- File extension for code should be *.h *.cpp.
- Don't use **bits/stdc++.h** because this is quite Linux specific and slows down the compilation process.
- Avoid using **struct** and instead use the **class** keyword.
- Organize your code using **`struct`**, **`class`** and/or **`namespace`** keywords
- If an implementation of the algorithm already exists, please refer to the [file-name section below](#new-file-name-guidelines).
- You can suggest reasonable changes to existing algorithms.
- Strictly use snake_case (underscore_separated) in filenames.
- If you have added or modified code, please make sure the code compiles before submitting.
@@ -116,6 +117,7 @@ my_new_cpp_class.cpp is correct format
```
- It will be used to dynamically create a directory of files and implementation.
- File name validation will run on docker to ensure the validity.
- If an implementation of the algorithm already exists and your version is different from that implemented, please use incremental numeric digit as a suffix. For example, if `median_search.cpp` already exists in the `search` folder and you are contributing a new implementation, the filename should be `median_search2.cpp` and for a third implementation, `median_search3.cpp`.
#### New Directory guidelines
- We recommend adding files to existing directories as much as possible.

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@@ -113,7 +113,9 @@
* [Adaline Learning](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/adaline_learning.cpp)
* [Kohonen Som Topology](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/kohonen_som_topology.cpp)
* [Kohonen Som Trace](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/kohonen_som_trace.cpp)
* [Neural Network](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/neural_network.cpp)
* [Ordinary Least Squares Regressor](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/ordinary_least_squares_regressor.cpp)
* [Vector Ops](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/vector_ops.hpp)
## Math
* [Armstrong Number](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/armstrong_number.cpp)
@@ -182,7 +184,7 @@
* [Decimal To Binary](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/decimal_to_binary.cpp)
* [Decimal To Hexadecimal](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/decimal_to_hexadecimal.cpp)
* [Decimal To Roman Numeral](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/decimal_to_roman_numeral.cpp)
* [Fast Interger Input](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/fast_interger_input.cpp)
* [Fast Integer Input](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/fast_integer_input.cpp)
* [Happy Number](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/happy_number.cpp)
* [Matrix Exponentiation](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/matrix_exponentiation.cpp)
* [Palindrome Of Number](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/palindrome_of_number.cpp)
@@ -239,6 +241,7 @@
* [Non Recursive Merge Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/non_recursive_merge_sort.cpp)
* [Numeric String Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/numeric_string_sort.cpp)
* [Odd Even Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/odd_even_sort.cpp)
* [Pigeonhole Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/pigeonhole_sort.cpp)
* [Quick Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/quick_sort.cpp)
* [Quick Sort 3](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/quick_sort_3.cpp)
* [Radix Sort](https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/radix_sort.cpp)

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@@ -13,12 +13,15 @@
/**
* Recursively compute sequences
* @param n input
* @returns n-th element of the Fbinacci's sequence
*/
unsigned int fibonacci(unsigned int n) {
uint64_t fibonacci(uint64_t n) {
/* If the input is 0 or 1 just return the same
This will set the first 2 values of the sequence */
if (n <= 1)
if (n <= 1) {
return n;
}
/* Add the last 2 values of the sequence to get next */
return fibonacci(n - 1) + fibonacci(n - 2);
@@ -30,27 +33,27 @@ unsigned int fibonacci(unsigned int n) {
* @returns `void`
*/
static void test() {
unsigned int test_case_1 = fibonacci(0);
uint64_t test_case_1 = fibonacci(0);
assert(test_case_1 == 0);
std::cout << "Passed Test 1!" << std::endl;
unsigned int test_case_2 = fibonacci(1);
uint64_t test_case_2 = fibonacci(1);
assert(test_case_2 == 1);
std::cout << "Passed Test 2!" << std::endl;
unsigned int test_case_3 = fibonacci(2);
uint64_t test_case_3 = fibonacci(2);
assert(test_case_3 == 1);
std::cout << "Passed Test 3!" << std::endl;
unsigned int test_case_4 = fibonacci(3);
uint64_t test_case_4 = fibonacci(3);
assert(test_case_4 == 2);
std::cout << "Passed Test 4!" << std::endl;
unsigned int test_case_5 = fibonacci(4);
uint64_t test_case_5 = fibonacci(4);
assert(test_case_5 == 3);
std::cout << "Passed Test 5!" << std::endl;
unsigned int test_case_6 = fibonacci(15);
uint64_t test_case_6 = fibonacci(15);
assert(test_case_6 == 610);
std::cout << "Passed Test 6!" << std::endl << std::endl;
}
@@ -58,7 +61,7 @@ static void test() {
/// Main function
int main() {
test();
int n;
int n = 0;
std::cin >> n;
assert(n >= 0);
std::cout << "F(" << n << ")= " << fibonacci(n) << std::endl;

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@@ -1,78 +1,156 @@
/**
* \file
* \brief [Median search](https://en.wikipedia.org/wiki/Median_search) algorithm
* \warning This core is erroneous and gives invorrect answers. Tested using
* cases from [here](https://brilliant.org/wiki/median-finding-algorithm/)
* \ingroup median search
* \{
* @file median_search.cpp
* @brief Implementation of [Median search](https://en.wikipedia.org/wiki/Median_of_medians) algorithm.
* @cases from [here](https://brilliant.org/wiki/median-finding-algorithm/)
*
* @details
* Given an array A[1,...,n] of n numbers and an index i, where 1 ≤ i ≤ n, find the i-th smallest element of A.
* median_of_medians(A, i):
* #divide A into sublists of len 5
* sublists = [A[j:j+5] for j in range(0, len(A), 5)]
* medians = [sorted(sublist)[len(sublist)/2] for sublist in sublists]
* if len(medians) <= 5:
* pivot = sorted(medians)[len(medians)/2]
* else:
* #the pivot is the median of the medians
* pivot = median_of_medians(medians, len(medians)/2)
* #partitioning step
* low = [j for j in A if j < pivot]
* high = [j for j in A if j > pivot]
* k = len(low)
* if i < k:
* return median_of_medians(low,i)
* elif i > k:
* return median_of_medians(high,i-k-1)
* else: #pivot = k
* return pivot
*
* \note this algorithm implements median search for only arrays which have distinct elements
*
* Here are some example lists you can use to see how the algorithm works
* A = [1,2,3,4,5,1000,8,9,99] (Contain Unique Elements)
* B = [1,2,3,4,5,6] (Contains Unique Elements)
* print median_of_medians(A, 0) #should be 1
* print median_of_medians(A,7) #should be 99
* print median_of_medians(B,4) #should be 5
*
* @author Unknown author
* @author [Sushil Kumar](https://github.com/Rp-sushil)
*/
#include <algorithm>
#include <iostream>
#include <algorithm>
#include <vector>
#include <cassert>
/**
* @todo add documentation
* @namespace search
* @brief Search algorithms
*/
template <class X>
void comp(X x, std::vector<int> *s1, std::vector<int> *s2,
std::vector<int> *s3) {
if (s1->size() >= x && s1->size() + s2->size() < x) {
std::cout << (*s2)[0] << " is the " << x + 1 << "th element from front";
} else if (s1->size() > x) {
std::sort(s1->begin(), s1->end());
std::cout << (*s1)[x] << " is the " << x + 1 << "th element from front";
} else if (s1->size() + s2->size() <= x && s3->size() > x) {
std::sort(s3->begin(), s3->end());
std::cout << (*s3)[x - s1->size() - s2->size()] << " is the " << x + 1
<< "th element from front";
} else {
std::cout << x + 1 << " is invalid location";
}
namespace search {
/**
* @namespace median_search
* @brief Functions for [Median search](https://en.wikipedia.org/wiki/Median_search) algorithm
*/
namespace median_search {
/**
* This function search the element in an array for the given index.
* @param A array where numbers are saved
* @param idx current index in array
* @returns corresponding element which we want to search.
*/
int median_of_medians(const std::vector<int>& A, const int& idx) {
int pivot = 0; // initialized with zero
std::vector<int> a(A.begin(), A.end());
std::vector<int> m;
int r = a.size();
for(int i = 0; i < r; i += 5){
std::sort(a.begin() + i, a.begin() + std::min(r, i + 5));
int mid = (i + std::min(r, i + 5)) / 2;
m.push_back(a[mid]);
}
int sz = int(m.size());
if(sz <= 5){
std::sort(m.begin(), m.end());
pivot = m[(sz- 1) / 2];
}
else{
pivot = median_of_medians(m, idx);
}
std::vector<int> low;
std::vector<int> high;
for(int i = 0; i < r; i++){
if(a[i] < pivot){
low.push_back(a[i]);
}
else if(a[i] > pivot){
high.push_back(a[i]);
}
}
int k = int(low.size());
if(idx < k){
return median_of_medians(low, idx);
}
else if(idx > k){
return median_of_medians(high, idx-k-1);
}
else{
return pivot;
}
}
} // namespace median_search
} // namespace search
#define MAX_NUM 20 ///< maximum number of values to sort from
/**
* Function to test above algorithm
*/
void test(){
std::vector<int> A{25,21,98,100,76,22,43,60,89,87};
int i = 3;
assert(A[6] == search::median_search::median_of_medians(A, i)); // A[6] = 43, is the fourth smallest element.
std::cout << "test case:1 passed\n";
std::vector<int> B{1,2,3,4,5,6};
int j = 4;
assert(B[4] == search::median_search::median_of_medians(B, j)); // B[4] = 5, is the fifth smallest element.
std::cout << "test case:2 passed\n";
std::vector<int> C{1,2,3,4,5,1000,8,9,99};
int k = 3;
assert(C[3] == search::median_search::median_of_medians(C, k)); // C[3] = 4, is the fourth smallest element.
std::cout << "test case:3 passed\n";
std::cout << "--All tests passed--\n";
}
/**
* Main function
*/
int main() {
std::vector<int> v{25, 21, 98, 100, 76, 22, 43, 60, 89, 87};
std::vector<int> s1;
std::vector<int> s2;
std::vector<int> s3;
// creates an array of random numbers
// for (int i = 0; i < MAX_NUM; i++) {
// int r = std::rand() % 1000;
// v.push_back(r);
// std::cout << r << " ";
// }
for (int r : v) std::cout << r << " ";
int median = std::rand() % 1000; // initialize to a random numnber
std::cout << "\nmedian=" << median << std::endl;
int avg1, avg2, avg3, sum1 = 0, sum2 = 0, sum3 = 0;
for (int i = 0; i < v.size(); i++) { // iterate through all numbers
if (v.back() == v[median]) {
avg1 = sum1 + v.back();
s2.push_back(v.back());
} else if (v.back() < v[median]) {
avg2 = sum2 + v.back();
s1.push_back(v.back());
} else {
avg3 = sum3 + v.back();
s3.push_back(v.back());
}
v.pop_back();
}
int x;
std::cout << "enter the no. to be searched form begining:- ";
std::cin >> x;
comp(x - 1, &s1, &s2, &s3);
return 0;
int main()
{
test();
int n = 0;
std::cout << "Enter Size of Array: ";
std::cin >> n;
std::vector<int> a(n);
std::cout << "Enter Array: ";
for(int i = 0; i < n; i++){
std::cin >> a[i];
}
std::cout << "Median: "; // Median defination: https://en.wikipedia.org/wiki/Median
int x = search::median_search::median_of_medians(a, (n - 1) / 2);
if(n % 2 == 0){
int y = search::median_search::median_of_medians(a, n / 2);
std::cout << (float(x) + float(y))/2.0;
}
else{
std::cout << x;
}
std::cout << "\nTo find i-th smallest element ";
std::cout << "\nEnter i: ";
int idx = 0;
std::cin >> idx;
idx--;
std::cout << idx + 1<< "-th smallest element: " << search::median_search::median_of_medians(a, idx) << '\n';
return 0;
}
/// }

133
sorting/pigeonhole_sort.cpp Normal file
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@@ -0,0 +1,133 @@
/**
* @file
* @brief Implementation of [Pigeonhole Sort algorithm]
* (https://en.wikipedia.org/wiki/Pigeonhole_sort)
* @author [Lownish](https://github.com/Lownish)
* @details
* Pigeonhole sorting is a sorting algorithm that is suitable for sorting lists
* of elements where the number of elements and the number of possible key
* values are approximately the same. It requires O(n + Range) time where n is
* number of elements in input array and Range is number of possible values in
* array.
*
* The time Complexity of the algorithm is \f$O(n+N)\f$.
*/
#include <algorithm> //for std::is_sorted
#include <array> //for std::array
#include <cassert> //for assert
#include <iostream> //for io operations
/**
* @namespace sorting
* @brief Sorting algorithms
*/
namespace sorting {
/**
* Pigeonhole sorting of array of size n
* The function will sort the array through Pigeonhole algorithm and print
* @param arr unsorted array of elements
* @returns sorted array of elements
*/
template <std::size_t N>
std::array<int, N> pigeonSort(std::array<int, N> arr) {
// Finding min and max*
auto min = std::min_element(std::begin(arr), std::end(arr));
auto max = std::max_element(std::begin(arr), std::end(arr));
// Range refers to the number of holes required
int range = *max - *min + 1;
int *hole = new int[range]();
// Copying all array values to pigeonhole
for (int i = 0; i < N; i++) {
hole[arr[i] - *min] = arr[i];
}
// Deleting elements from list and storing to original array
int count = 0;
for (int i = 0; i < range; i++) {
while (hole[i] != '\0') {
arr[count] = hole[i];
hole[i] = {};
count++;
}
}
delete[] hole;
return arr;
}
} // namespace sorting
/**
* Test function 1 with unsorted array
* {8, 3, 2, 7, 4, 6, 8}
* @returns none
*/
static void test_1() {
const int n = 7;
std::array<int, n> test_array = {8, 3, 2, 7, 4, 6, 8};
test_array = sorting::pigeonSort<n>(test_array);
assert(std::is_sorted(std::begin(test_array), std::end(test_array)));
// Printing sorted array
for (int i = 0; i < n; i++) {
std::cout << test_array.at(i) << " ";
}
std::cout << "\nPassed\n";
}
/**
* Test function 2 with unsorted array
* {802, 630, 20, 745, 52, 300, 612, 932, 78, 187}
* @returns none
*/
static void test_2() {
const int n = 10;
std::array<int, n> test_array = {802, 630, 20, 745, 52,
300, 612, 932, 78, 187};
test_array = sorting::pigeonSort<n>(test_array);
assert(std::is_sorted(std::begin(test_array), std::end(test_array)));
// Printing sorted array
for (int i = 0; i < n; i++) {
std::cout << test_array.at(i) << " ";
}
std::cout << "\nPassed\n";
}
/**
* Test function 1 with unsorted array
* {11,13,12,14}
* @returns none
*/
static void test_3() {
const int n = 4;
std::array<int, n> test_array = {11, 13, 12, 14};
test_array = sorting::pigeonSort<n>(test_array);
assert(std::is_sorted(std::begin(test_array), std::end(test_array)));
// Printing sorted array
for (int i = 0; i < n; i++) {
std::cout << test_array.at(i) << " ";
}
std::cout << "\nPassed\n";
}
/**
* Main function
*/
int main() {
test_1();
test_2();
test_3();
return 0;
}