C++ insertion sorting elements - c++

Other way for elements to be in function instead of main program?
void insertionSort(int array[], int number)
{
int j, temp;
for (int i = 1; i<number; i++)
{
j = i;
while (j>0 && array[j - 1]>array[j])
{
temp = array[j];
array[j] = array[j - 1];
array[j - 1] = temp;
j--;
}
}
}
int main()
{
int number = 8;
int array[] = { 2, 7, 5, 6, 4, 8, 1, 3 };
insertionSort(array, 8);
for (int i = 0; i<number; i++)
cout << array[i] << " ";
cout << endl;
system("PAUSE");
return 0;
}

While the data to be sorted could be moved into the sort function, doing so creates a function that's pretty much useless--since it only ever sorts one set of data, it's equivalent to return {1, 2, 3, 4 5, 6, 7, 8};
Your insertion sort is also a bit of a mess. Pseudo-code for an insertion sort normally looks something like this:
for i in 1 to size do
temp = array[i]
for j in i downto 0 and array[j-1] > temp do
array[j] = array[j-1]
array[j] = temp

I would suggest that you do not do this. A function is supposed to be a reusable piece of code. If you hardcode the array into the function then that function could only ever sort the array that is in the function and you would have to edit the array in the function to sort something different. By passing the array to the function now you have the ability to pass any array to the function and it will get sorted. You could even call the function multiple times with different arrays in the same program and they will be sorted.
I will also mention that if you move the array to be in the sort function then it won't be in main() and you won't be able to print out the array in main() as you have it now.

Related

why do we need to create an auxiliary array to rearrange it?

i'm new to c++ and working through the problem of rearranging a sorted array in O(n) time so that first comes the maximum element, then the minimum, then the second max, then the second min, so it goes.
my solution doesn't pass the tests without an auxiliary array result to which I then copy over my values - see below for the initial and the working solutions:
// initial:
void maxMin(int arr[], int size) {
bool switchPointer = true;
int min_ptr = 0;
int max_ptr = size - 1;
for (int i = 0; i < size; i++) {
if (switchPointer) {
arr[i] = arr[max_ptr];
max_ptr--;
} else {
arr[i] = arr[min_ptr];
min_ptr++;
}
switchPointer = !switchPointer;
}
}
// working
void maxMin(int arr[], int size) {
int* result = new int[size];
bool switchPointer = true;
int min_ptr = 0;
int max_ptr = size - 1;
for (int i = 0; i < size; i++) {
if (switchPointer) {
result[i] = arr[max_ptr];
max_ptr--;
} else {
result[i] = arr[min_ptr];
min_ptr++;
}
switchPointer = !switchPointer;
}
for (int j = 0; j < size; j++) {
arr[j] = result[j]; // copying to original array
}
delete [] result;
}
why do we need an auxiliary result array? thank you!
Because if you apply your algorithm "in-place" you will overwrite MIN values of your original array before you could use them. Imagine:
arr = {1, 2, 3, 4, 5}
expected result is {5, 1, 4, 2, 3}
in first iteration you will do arr[0] = arr[4] // arr[0] is equal to 5 now
in second iteration you will do arr[1] = arr[0] // but this is not what you want, because arr[0] was already changed and is not equal to "1" anymore
Usually you use temp variables when you need to read your original source of data and not the modified version. In your case I think the problem arises when you do
arr[i] = arr[max_ptr]; or arr[i] = arr[min_ptr]; in your non working example. In this case you modify the array and you read (arr[max_ptr]) the same overwritten array leading to inconsistencies in your algorithm. Using an auxiliary variable solves the issue since you read the original data but you store it somewhere else.

Reinitialising an array on if statement

I'm writing class that manages dynamic array of objects. Right now I got stuck on method that should insert element at given index, but before it checks if that index isnt bigger than array capacity. Then it should resize array first.
template <class T>
void MyVector<T>::insertAt(int index, const T &m_element) {
if(p_size == p_capacity) extendArray();
if(index >= p_capacity) extendArray(index);
p_size++;
p_array[index] = m_element;
}
template <class T>
void MyVector<T>::extendArray(int new_capacity) {
std::unique_ptr<T[]> temp_array = std::make_unique<T[]>(new_capacity);
for (int i = 0; i <= p_size; i++) {
temp_array[i] = p_array[i];
}
p_array.reset();
p_array = std::make_unique<T[]>(new_capacity);
for (int i = 0; i <= p_size; i++) {
p_array[i] = temp_array[i];
}
}
extendArray()just extends array capacity 2 times, extendArray(int) extends array capacity to the number given by the index. First method works fine, second not so really.
int main(){
MyVector<int> test;
test.insertAt(0, 5);
test.insertAt(1, 3);
test.insertAt(2, 1);
test.insertAt(6, 11);
cout <<"Size " << test.getSize() << "\n";
for(int i = 0; i < test.getCapacity(); i++) {
cout << test.get(i) << ", ";
}
}
Id expect something like 5, 3, 1, 0, 0, 0, 11, 0
But I get just 5, 3, 1, 0 so it never extends array but it increases size (number of elements).
You did not post your extendArray() function but even though you say it's a copy of extendArray(int) first seems to be updating p_capacity when the latter you provided doesn't.
Fixing that would gain you couple of extra zeros in the output 5, 3, 1, 0, 0, 0 since you extending only to the index, not to the index+1. Furthermore, in insertAt(int index, const T &m_element) you are incrementing the p_size, instead of assigning it to index+1
Extending to p_size+1 and fixing the p_size assignment, prints 5, 3, 1, 0, 0, 0, 11 and I am not quite sure how you came to the conclusion that it should have an extra trailing 0 as p_capacity ends up being 7, regardless if the initial value is 1, 2 or 4 as in the code snippet I put a link to.
I also noticed couple of bugs I without looking too close: your loops shouldn't go to the p_size, but rather to p_size-1, so instead for (size_t i = 0; i <= p_size; i++) it should be for (size_t i = 0; i < p_size; i++)
I would also suggest using unsigned int (or size_t) instead of int for indexing as that allows to get compiler warnings when you do something which potentially can result in a negative index.
Lastly, you should be able to use unique_ptr::swap to avoid two allocations in extendArray(..).
Good luck with learning!

Main skipping over function?

I'm attempting to teach myself the basics of algorithms and data structures through a free online course, and as such, I though it'd give it a first shot at merge sort. This isn't really going to be used for anything so it's pretty sloppy, but I seem to be having a problem where main is not calling the MergeSort function.
The output is 00000000, (I assume because array is never assigned anything). When I run the program through gdb the program seems to get to that line, and then completely skip over the function and go directly to the loop that prints the array.
Any thoughts? Am I missing something stupid?
#include <iostream>
using namespace std;
int *MergeSort(int array[], int sizeOf);
int main(){
int numbers[8] = {5, 4, 1, 8, 7, 2, 6, 3};
int *array = MergeSort(numbers, 8);
for (int i = 0; i < 8; i++)
cout << array[i];
return 0;
}
int *MergeSort(int array[], int sizeOf){
int *leftArr = new int[sizeOf/2]; // Build arrays to split in half
int *rightArr = new int[sizeOf/2];
if (sizeOf < 2){ // Base case to end recursion
return array;
}
else{
for (int i = 0; i < (sizeOf/2); i++){ // Left gets first half
leftArr[i] = array[i];
}
int j = (sizeOf/2) - 1; // Set point to start building 2nd
for (int i = sizeOf; i >= (sizeOf/2); i--){
rightArr[j] = array[i]; // Build other half of array
j--;
}
leftArr = MergeSort(leftArr, sizeOf/2); // Call Recursive functions
rightArr = MergeSort(rightArr, sizeOf/2);
}
static int *newArray = new int[sizeOf]; // Sorted array to Build
int k = 0; // Iterators to build sorted func
int m = 0;
int p = 0;
while (p < sizeOf){
if (leftArr[k] < rightArr[m]){ // Left Arr's current value is less
newArray[p] = leftArr[k]; // right arr's current calue
k++;
}
else if (leftArr[k] >= rightArr[m]){
newArray[p] = rightArr[k];
m++;
}
p++;
}
//for (int i = 0; i < 8; i++)
// cout << newArray[i] << endl;
return newArray; // Return address to new array
}
There is a fundamental design issue in your MergeSort():
your algorithm is recursive (that's perfect)
unfortunately it returns newArraywhich is static. This means that all invocations use the same instance of the same static variable (and overwrite the one returned by the recursive call).
You need to solve this by making newArray non static. And at the end of the function, you need to delete[] the arrays returned by recursive calls in order to avoid memory leakage.

Sorting one array based on another in place [duplicate]

This question already has answers here:
Sorting zipped (locked) containers in C++ using boost or the STL
(5 answers)
Closed 7 years ago.
I'm coding in C++ (with c++11 standards) and I have two big arrays of built-in type that I want to sort the second one based on the first.
here is an example:
A = {1, 5, 4, 3, 6, 2};
B = {1, 2, 3, 4, 5, 6};
after sorting:
A = {1, 2, 3, 4, 5, 6};
B = {1, 6, 4, 3, 2, 5};
It's as if each element B[i] is attached to element A[i] and you just sort array A. So elements in B move according the corresponding element in A. I know this questions has been asked over and over, yet the only solution I've come across with is to use pair<type 1, type 2>. But considering the arrays are big, it takes quite a while to allocate the memory for pairs array and copy arrays back and forth.
But I believe the sorting can be done in-place, i.e., using only O(1) memory. In fact if std::sort allowed for costume swap it would have been fine. Because I assume that's the only thing beyond comparator that sorting algorithms use.
A = vector<double>(1e6); // some random numbers
B = vector<double>(1e6); // some random numbers
Comp comp(&A,&B);
Swap swap(&A,&B);
costume_sort(A,B,comp,swap); // some sort function that can take costume swap and compare
class Comp {
vector<double> *A;
vector<double> *B;
Comp(vector<double> *A, vector<double> *B) : A(A),B(B) {};
bool compareTo(size_t i, size_t j) { return A->at(i) < A->at(j); };
};
class Swap {
vector<double> *A;
vector<double> *B;
Swap(vector<double> *A, vector<double> *B) : A(A),B(B) {};
void swapFnc(size_t i, size_t j) { swap(A->at(i), A->at(j));swap(B->at(i), B->at(j)); };
};
Is there any function in STL or other libraries available that can do that? This is a sort of pseudo-code of the idea I'm trying to explain here. Obviously it's not precise but I hope it's clear what I mean.
You can sort based on indices similar to the related post: std::sort and custom swap function.
It is not a custom swap function and allocateds some more memory, but should perform well.
If you are defining the types, then you can overload std::swap to do what you want: How to overload std::swap().
No there is not an std:: function that meets your requirements.
Although it's possible to provide its custom comparison (so Q&A) and swap (so Q&A) functor, those take a (constant) reference to the items to compare or swap, not an index on an hypothetical container. Indeed those functors should have meaning for comparisons and swaps of non-contained objects.
Example of reorder a[] and b[] in place according to a sorted array of pointers to a[]. Since an array of pointers is used, the compare function only needs to know the type of elements being compared. The reorder in place code time complexity is O(n), every store places a value in its sorted location. Note that the array of pointers is restored to it's original state (&a[0] ... &a[n-1]) during the reorder.
bool compare(const int *p0, const int *p1)
{
return *p0 < *p1;
}
int main()
{
int a[8] = {7,5,0,6,4,2,3,1};
char b[8] = {'h','f','a','g','e','c','d','b'};
int *pa[8];
size_t i, j, k;
int ta;
char tb;
// create array of pointers to a[]
for(i = 0; i < sizeof(a)/sizeof(a[0]); i++)
pa[i] = &a[i];
// sort array of pointers to a[]
std::sort(pa, pa+sizeof(a)/sizeof(a[0]), compare);
// reorder a[] and b[] according to the array of pointers to a[]
for(i = 0; i < sizeof(a)/sizeof(a[0]); i++){
if(i != pa[i]-a){
ta = a[i];
tb = b[i];
k = i;
while(i != (j = pa[k]-a)){
a[k] = a[j];
b[k] = b[j];
pa[k] = &a[k];
k = j;
}
a[k] = ta;
b[k] = tb;
pa[k] = &a[k];
}
}
for(i = 0; i < sizeof(a)/sizeof(a[0]); i++)
std::cout << a[i] << ' ';
std::cout << std::endl;
for(i = 0; i < sizeof(b)/sizeof(b[0]); i++)
std::cout << b[i] << ' ';
std::cout << std::endl;
return 0;
}

Sorting an array by increasing frequency of element

I would like to sort an array by increasing order of frequency. For example, if I had an array
int arr[] = { 3, 3, 10, 2, 5, 10, 10, 2, 2, 2 };
or another array would have the following sequence in it:
int arr[] = {5, 3, 3, 10, 10, 10, 2, 2, 2, 2};
However, I cannot use hashing or maps – I can only use arrays. What I have thought of is sorting the array using a quick sort algorithm, scanning the sorted array and performing the count in a 2d array so that for each element, there is a count associated with it, and then sorting by count. If two counts are same then I would merely print out the one with the lower value first. I'm having trouble implementing the last two steps. I'm not sure how to "map" a count to an index in the 2d array, nor am I sure on how to sort the 2d array by a count. Could anyone help me out? Thanks!
Scan your array (sort first to optimize, but not needed), and generate an array of the struct below. Now sort the array of these structs, then regenerate your original array.
struct ElemCount {
int Elem;
int count;
bool operator<(const ElemCount& other) {
if (count!=other.count)
return count<other.count;
return Elem<other.Elem;
}
};
That's how I'd code it without STL (requires additional O(n) memory):
// Represents a bunch of equal numbers in an array
struct Bunch
{
int x; // value of numbers
int n; // count of numbers
};
int cmp_int(const void *x, const void *y)
{
return *static_cast<const int*>(x) - *static_cast<const int*>(y);
}
int cmp_bunch(const void *x, const void *y)
{
const Bunch* bx = static_cast<const Bunch*>(x);
const Bunch* by = static_cast<const Bunch*>(y);
return (bx->n != by->n) ? bx->n - by->n : bx->x - by->x;
}
void sort_by_freq(int arr[], int arr_size)
{
// Buffer array to store counted bunches of numbers
Bunch* buf = new Bunch [arr_size];
int buf_size = 0;
// Sort input array
qsort(arr, arr_size, sizeof(int), cmp_int);
// Compute bunches
Bunch bunch;
bunch.x = arr[0];
bunch.n = 1;
for (int i = 1; i < arr_size; ++i)
{
if (arr[i] > bunch.x)
{
buf[buf_size++] = bunch;
bunch.x = arr[i];
bunch.n = 1;
}
else
{
++bunch.n;
}
}
buf[buf_size++] = bunch; // Don't forget the last one!
// Sort bunches
qsort(buf, buf_size, sizeof(Bunch), cmp_bunch);
// Populate bunches to the input array
int i = 0;
for (int k = 0; k < buf_size; ++k)
for (int j = 0; j < buf[k].n; ++j) arr[i++] = buf[k].x;
// Don't forget to deallocate buffer, since we cannot rely on std::vector...
delete [] buf;
}