diff --git a/d0/dd5/namespacebubble__sort.html b/d0/dd5/namespacebubble__sort.html new file mode 100644 index 000000000..0761fd825 --- /dev/null +++ b/d0/dd5/namespacebubble__sort.html @@ -0,0 +1,125 @@ + + + + + + + +Algorithms_in_C++: bubble_sort Namespace Reference + + + + + + + + + + + + + + + + + +
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+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
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bubble_sort Namespace Reference
+
+
+ +

Bubble sort algorithm. +More...

+

Detailed Description

+

Bubble sort algorithm.

+
+
+ + + + diff --git a/d2/d26/count__inversions_8cpp.html b/d2/d26/count__inversions_8cpp.html index acb5f588c..36cd8eb6f 100644 --- a/d2/d26/count__inversions_8cpp.html +++ b/d2/d26/count__inversions_8cpp.html @@ -164,7 +164,7 @@ Functions

two elements a[i] and a[j] form an inversion if a[i] > a[j] and i < j

Time Complexity --> O(n.log n)

Space Complexity --> O(n) ; additional array temp[1..n]

-

+

Algorithm

  1. The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached.
    2. diff --git a/d3/df9/recursive__bubble__sort_8cpp.html b/d3/df9/recursive__bubble__sort_8cpp.html index 89d2401dd..de92cca02 100644 --- a/d3/df9/recursive__bubble__sort_8cpp.html +++ b/d3/df9/recursive__bubble__sort_8cpp.html @@ -148,7 +148,7 @@ Functions
    Author
    Aditya Prakash

    The working principle of the Bubble sort algorithm.

    Bubble sort is a simple sorting algorithm used to rearrange a set of ascending or descending order elements. Bubble sort gets its name from the fact that data "bubbles" to the top of the dataset.

    -

    +

    Algorithm

    What is Swap?

    Swapping two numbers means that we interchange their values. Often, an additional variable is required for this operation. This is further illustrated in the following:

    diff --git a/d4/d9f/selection__sort__recursive_8cpp.html b/d4/d9f/selection__sort__recursive_8cpp.html index 8cab03945..c4230222e 100644 --- a/d4/d9f/selection__sort__recursive_8cpp.html +++ b/d4/d9f/selection__sort__recursive_8cpp.html @@ -152,7 +152,7 @@ Functions

    Detailed Description

    Implementation of the Selection sort implementation using recursion.

    The selection sort algorithm divides the input list into two parts: a sorted sublist of items which is built up from left to right at the front (left) of the list, and a sublist of the remaining unsorted items that occupy the rest of the list. Initially, the sorted sublist is empty, and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on the sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.

    -

    +

    Implementation

    FindMinIndex This function finds the minimum element of the array(list) recursively by simply comparing the minimum element of array reduced size by 1 and compares it to the last element of the array to find the minimum of the whole array.

    SelectionSortRecursive Just like selection sort, it divides the list into two parts (i.e.: sorted and unsorted) and finds the minimum of the unsorted array. By calling the FindMinIndex function, it swaps the minimum element with the first element of the list, and then solves recursively for the remaining unsorted list.

    Author
    Tushar Khanduri
    diff --git a/d5/d91/namespacesorting.html b/d5/d91/namespacesorting.html index cca623a5a..4be50636c 100644 --- a/d5/d91/namespacesorting.html +++ b/d5/d91/namespacesorting.html @@ -201,6 +201,7 @@ Functions

    Sorting algorithms.

    for algorithm functions for assert for IO operations

    Sorting algorithms

    +

    for std::is_sorted for assert for IO implementations for std::string for std::pair, std::swap for std::vector, std::vector::push_back, std::vector::size

    for assert for typedef datatype uint64_t for IO operations

    Sorting algorithms

    for std::is_sorted, std::swap for assert for io operations

    diff --git a/d6/d1d/bubble__sort_8cpp__incl.map b/d6/d1d/bubble__sort_8cpp__incl.map index 771d0810f..df0aec09c 100644 --- a/d6/d1d/bubble__sort_8cpp__incl.map +++ b/d6/d1d/bubble__sort_8cpp__incl.map @@ -1,7 +1,15 @@ - - - - - + + + + + + + + + + + + + diff --git a/d6/d1d/bubble__sort_8cpp__incl.md5 b/d6/d1d/bubble__sort_8cpp__incl.md5 index 62dad0bc3..89067069c 100644 --- a/d6/d1d/bubble__sort_8cpp__incl.md5 +++ b/d6/d1d/bubble__sort_8cpp__incl.md5 @@ -1 +1 @@ -c9f04efe2ba50a07b7ce9222a4e6347e \ No newline at end of file +d399faf3083d1eb33fed756bca7ffd89 \ No newline at end of file diff --git a/d6/d1d/bubble__sort_8cpp__incl.svg b/d6/d1d/bubble__sort_8cpp__incl.svg index 7d712cf16..40796b2c1 100644 --- a/d6/d1d/bubble__sort_8cpp__incl.svg +++ b/d6/d1d/bubble__sort_8cpp__incl.svg @@ -4,8 +4,8 @@ - + @@ -23,8 +23,8 @@ Node1 - -sorting/bubble_sort.cpp + +sorting/bubble_sort.cpp @@ -32,8 +32,8 @@ Node2 - -iostream + +algorithm @@ -41,8 +41,8 @@ Node1->Node2 - - + + @@ -50,8 +50,8 @@ Node3 - -vector + +cassert @@ -59,8 +59,80 @@ Node1->Node3 - - + + + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + + + + +Node5 + + +string + + + + + +Node1->Node5 + + + + + + + + +Node6 + + +utility + + + + + +Node1->Node6 + + + + + + + + +Node7 + + +vector + + + + + +Node1->Node7 + + + diff --git a/d6/d1d/bubble__sort_8cpp__incl_org.svg b/d6/d1d/bubble__sort_8cpp__incl_org.svg index 00a691544..767047ca6 100644 --- a/d6/d1d/bubble__sort_8cpp__incl_org.svg +++ b/d6/d1d/bubble__sort_8cpp__incl_org.svg @@ -4,16 +4,16 @@ - + sorting/bubble_sort.cpp Node1 - -sorting/bubble_sort.cpp + +sorting/bubble_sort.cpp @@ -21,8 +21,8 @@ Node2 - -iostream + +algorithm @@ -30,8 +30,8 @@ Node1->Node2 - - + + @@ -39,8 +39,8 @@ Node3 - -vector + +cassert @@ -48,8 +48,80 @@ Node1->Node3 - - + + + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + + + + +Node5 + + +string + + + + + +Node1->Node5 + + + + + + + + +Node6 + + +utility + + + + + +Node1->Node6 + + + + + + + + +Node7 + + +vector + + + + + +Node1->Node7 + + + diff --git a/d8/d13/bubble__sort_8cpp.html b/d8/d13/bubble__sort_8cpp.html index c7abf8b37..b262d384b 100644 --- a/d8/d13/bubble__sort_8cpp.html +++ b/d8/d13/bubble__sort_8cpp.html @@ -105,6 +105,7 @@ $(function(){initNavTree('d8/d13/bubble__sort_8cpp.html','../../'); initResizabl
    +Namespaces | Functions
    bubble_sort.cpp File Reference
    @@ -112,30 +113,117 @@ $(function(){initNavTree('d8/d13/bubble__sort_8cpp.html','../../'); initResizabl

    Bubble sort algorithm. More...

    -
    #include <iostream>
    +
    #include <algorithm>
    +#include <cassert>
    +#include <iostream>
    +#include <string>
    +#include <utility>
    #include <vector>
    Include dependency graph for bubble_sort.cpp:
    -
    +
    + + + + + + + +

    +Namespaces

    namespace  sorting
     for working with vectors
     
    namespace  bubble_sort
     Bubble sort algorithm.
     
    + + + + + + + +

    Functions

    template<typename T >
    std::vector< T > sorting::bubble_sort::bubble_sort (std::vector< T > &array)
     Bubble sort algorithm.
     
    static void test ()
     Self-test implementation.
     
    int main ()
     Main function.
     

    Detailed Description

    Bubble sort algorithm.

    -

    The working principle of the Bubble sort algorithm:

    Bubble sort algorithm is the bubble sorting algorithm. The most important reason for calling the bubble is that the largest number is thrown at the end of this algorithm. This is all about the logic. In each iteration, the largest number is expired and when iterations are completed, the sorting takes place.

    What is Swap?

    Swap in the software means that two variables are displaced. An additional variable is required for this operation. x = 5, y = 10. We want x = 10, y = 5. Here we create the most variable to do it.

    -

    int z; z = x; x = y; y = z;

    -

    The above process is a typical displacement process. When x assigns the value to x, the old value of x is lost. That's why we created a variable z to create the first value of the value of x, and finally, we have assigned to y.

    -

    Bubble Sort Algorithm Analysis (Best Case - Worst Case - Average Case)

    -

    Bubble Sort Worst Case Performance is O (n²). Why is that? Because if you remember Big O Notation, we were calculating the complexity of the algorithms in the nested loops. The n * (n - 1) product gives us O (n²) performance. In the worst case all the steps of the cycle will occur. Bubble Sort (Avarage Case) Performance. Bubble Sort is not an optimal algorithm. in average, O (n²) performance is taken. Bubble Sort Best Case Performance. O (n). However, you can't get the best status in the code we shared above. This happens on the optimized bubble sort algorithm. It's right down there.

    +
    int z;
    +
    z = x;
    +
    x = y;
    +
    y = z;
    +

    The above process is a typical displacement process. When x assigns the value to x, the old value of x is lost. That's why we created a variable z to create the first value of the value of x, and finally, we have assigned to y.

    +

    +Bubble Sort Algorithm Analysis (Best Case - Worst Case - Average Case)

    +

    +Best Case

    +

    Bubble Sort Best Case Performance. \(O(n)\). However, you can't get the best status in the code we shared above. This happens on the optimized bubble sort algorithm. It's right down there.

    +

    +Worst Case

    +

    Bubble Sort Worst Case Performance is \(O(n^{2})\). Why is that? Because if you remember Big O Notation, we were calculating the complexity of the algorithms in the nested loops. The \(n * (n - 1)\) product gives us \(O(n^{2})\) performance. In the worst case all the steps of the cycle will occur.

    +

    +Average Case

    +

    Bubble Sort is not an optimal algorithm. In average, \(O(n^{2})\) performance is taken.

    +
    Author
    Deepak
    +
    +Nguyen Phuc Chuong

    Function Documentation

    + +

    ◆ bubble_sort()

    + +
    +
    +
    +template<typename T >
    + + + + + + + +
    std::vector< T > sorting::bubble_sort::bubble_sort (std::vector< T > & array)
    +
    + +

    Bubble sort algorithm.

    +
    Parameters
    + + +
    arrayAn array to be sorted
    +
    +
    +
    Returns
    The array sorted in ascending order
    +
    72 {
    +
    73 // swap_check flag to terminate the function early
    +
    74 // if there is no swap occurs in one iteration.
    +
    75 bool swap_check = true;
    +
    76 int size = array.size();
    +
    77 for (int i = 0; (i < size) && (swap_check); i++) {
    +
    78 swap_check = false;
    +
    79 for (int j = 0; j < size - 1 - i; j++) {
    +
    80 if (array[j] > array[j + 1]) {
    +
    81 swap_check = true;
    +
    82 std::swap(array[j], array[j + 1]);
    +
    83 }
    +
    84 }
    +
    85 }
    +
    86
    +
    87 return array;
    +
    88}
    +
    std::vector::size
    T size(T... args)
    +
    std::swap
    T swap(T... args)
    +
    +Here is the call graph for this function:
    +
    +
    +
    + +
    +

    ◆ main()

    @@ -150,55 +238,88 @@ Functions
    -
    43 {
    -
    44 int n;
    -
    45 bool swap_check = true;
    -
    46 std::cout << "Enter the amount of numbers to sort: ";
    -
    47 std::cin >> n;
    -
    48 std::vector<int> numbers;
    -
    49 std::cout << "Enter " << n << " numbers: ";
    -
    50 int num;
    -
    51
    -
    52 // Input
    -
    53 for (int i = 0; i < n; i++) {
    -
    54 std::cin >> num;
    -
    55 numbers.push_back(num);
    -
    56 }
    -
    57
    -
    58 // Bubble Sorting
    -
    59 for (int i = 0; (i < n) && (swap_check); i++) {
    -
    60 swap_check = false;
    -
    61 for (int j = 0; j < n - 1 - i; j++) {
    -
    62 if (numbers[j] > numbers[j + 1]) {
    -
    63 swap_check = true;
    -
    64 std::swap(numbers[j],
    -
    65 numbers[j + 1]); // by changing swap location.
    -
    66 // I mean, j. If the number is
    -
    67 // greater than j + 1, then it
    -
    68 // means the location.
    -
    69 }
    -
    70 }
    -
    71 }
    -
    72
    -
    73 // Output
    -
    74 std::cout << "\nSorted Array : ";
    -
    75 for (int i = 0; i < numbers.size(); i++) {
    -
    76 if (i != numbers.size() - 1) {
    -
    77 std::cout << numbers[i] << ", ";
    -
    78 } else {
    -
    79 std::cout << numbers[i] << std::endl;
    -
    80 }
    -
    81 }
    -
    82 return 0;
    -
    83}
    - - -
    std::endl
    T endl(T... args)
    -
    std::vector::push_back
    T push_back(T... args)
    -
    std::vector::size
    T size(T... args)
    -
    std::swap
    T swap(T... args)
    + +

    Main function.

    +
    Returns
    0 on exit
    +
    131 {
    +
    132 test();
    +
    133 return 0;
    +
    134}
    +
    test
    static void test()
    Self-test implementation.
    Definition bubble_sort.cpp:96
    +
    +Here is the call graph for this function:
    +
    +
    +
    + +
    +
    + +

    ◆ test()

    + +
    +
    + + + + + +
    + + + + + + + +
    static void test ()
    +     		+static
    +
    + +

    Self-test implementation.

    +
    Returns
    void
    +
    96 {
    +
    97 std::vector<int> vec_1 = {3, 1, -9, 0};
    +
    98 std::vector<int> sorted_1 = sorting::bubble_sort::bubble_sort(vec_1);
    +
    99
    +
    100 std::vector<int> vec_2 = {3};
    +
    101 std::vector<int> sorted_2 = sorting::bubble_sort::bubble_sort(vec_2);
    +
    102
    +
    103 std::vector<int> vec_3 = {10, 10, 10, 10, 10};
    +
    104 std::vector<int> sorted_3 = sorting::bubble_sort::bubble_sort(vec_3);
    +
    105
    +
    106 std::vector<float> vec_4 = {1234, -273.1, 23, 150, 1234, 1555.55, -2000};
    +
    107 std::vector<float> sorted_4 = sorting::bubble_sort::bubble_sort(vec_4);
    +
    108
    +
    109 std::vector<char> vec_5 = {'z', 'Z', 'a', 'B', ' ', 'c', 'a'};
    +
    110 std::vector<char> sorted_5 = sorting::bubble_sort::bubble_sort(vec_5);
    +
    111
    +
    112 std::vector<std::string> vec_6 = {"Hello", "hello", "Helo", "Hi", "hehe"};
    +
    113 std::vector<std::string> sorted_6 = sorting::bubble_sort::bubble_sort(vec_6);
    +
    114
    +
    115 std::vector<std::pair<int, char>> vec_7 = {{10, 'c'}, {2, 'z'}, {10, 'a'}, {0, 'b'}, {-1, 'z'}};
    +
    116 std::vector<std::pair<int, char>> sorted_7 = sorting::bubble_sort::bubble_sort(vec_7);
    +
    117
    +
    118 assert(std::is_sorted(sorted_1.begin(), sorted_1.end()));
    +
    119 assert(std::is_sorted(sorted_2.begin(), sorted_2.end()));
    +
    120 assert(std::is_sorted(sorted_3.begin(), sorted_3.end()));
    +
    121 assert(std::is_sorted(sorted_4.begin(), sorted_4.end()));
    +
    122 assert(std::is_sorted(sorted_5.begin(), sorted_5.end()));
    +
    123 assert(std::is_sorted(sorted_6.begin(), sorted_6.end()));
    +
    124 assert(std::is_sorted(sorted_7.begin(), sorted_7.end()));
    +
    125}
    +
    std::vector::begin
    T begin(T... args)
    +
    sorting::bubble_sort::bubble_sort
    std::vector< T > bubble_sort(std::vector< T > &array)
    Bubble sort algorithm.
    Definition bubble_sort.cpp:72
    +
    std::vector::end
    T end(T... args)
    +
    std::is_sorted
    T is_sorted(T... args)
    -
    +
    +Here is the call graph for this function:
    +
    +
    +
    +
    diff --git a/d8/d13/bubble__sort_8cpp.js b/d8/d13/bubble__sort_8cpp.js new file mode 100644 index 000000000..a84e80047 --- /dev/null +++ b/d8/d13/bubble__sort_8cpp.js @@ -0,0 +1,6 @@ +var bubble__sort_8cpp = +[ + [ "bubble_sort", "d8/d13/bubble__sort_8cpp.html#af3b12930a83915712461d53fe9659686", null ], + [ "main", "d8/d13/bubble__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "test", "d8/d13/bubble__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/d8/d13/bubble__sort_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d8/d13/bubble__sort_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..938b6449b --- /dev/null +++ b/d8/d13/bubble__sort_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,9 @@ + + + + + + + + + diff --git a/d8/d13/bubble__sort_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d8/d13/bubble__sort_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new 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"d9/dfd/comb__sort_8cpp.html", "d9/dfd/comb__sort_8cpp" ], [ "count_inversions.cpp", "d2/d26/count__inversions_8cpp.html", "d2/d26/count__inversions_8cpp" ], [ "cycle_sort.cpp", "de/d07/cycle__sort_8cpp.html", "de/d07/cycle__sort_8cpp" ], diff --git a/doxygen_crawl.html b/doxygen_crawl.html index a72536a01..967f73601 100644 --- a/doxygen_crawl.html +++ b/doxygen_crawl.html @@ -421,6 +421,7 @@ + @@ -1056,6 +1057,7 @@ + @@ -2407,6 +2409,9 @@ + + + @@ -3725,6 +3730,7 @@ + diff --git a/globals_func_m.html b/globals_func_m.html index 5631b29d7..c5cbf0eee 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -107,7 +107,7 @@ $(function(){initNavTree('globals_func_m.html',''); initResizable(true); });
    Here is a list of all documented functions with links to the documentation:

    - m -