Performed changes in radix_sort2.cpp

This commit is contained in:
Suyash Jaiswal
2020-10-13 01:00:31 +05:30
parent c74892191f
commit eaddb1fcb5

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@@ -3,22 +3,22 @@
* @brief Algorith of [Radix sort](https://en.wikipedia.org/wiki/Radix_sort)
* @author [Suyash Jaiswal](https://github.com/Suyashjaiswal)
* @details
* Sort the vector of integers using radix sort i.e. sorting digi by digit using count sort as subroutine.
* Sort the vector of integers using radix sort i.e. sorting digit by digit using count sort as subroutine.
* Running time of radix is O(d*(n+b)) where b is the base for representing numbers and d in the max digits in input inegers and n is number of integers.
* consider example for n = 5, array elements = 432,234,143,332,123
sorting digit by digit
sorting according to
1) 1st digit place
=> 432,332,143,123,234
2) 2nd digit place
=> 123,432,332,234,143
3) 3rd digit place
=> 123,143,234,332,432
using count sort at each step, which is stable.
stable => already sorted according to previous digits.
*sorting digit by digit
*sorting according to
*1) 1st digit place
*=> 432,332,143,123,234
*
*2) 2nd digit place
*=> 123,432,332,234,143
*
*3) 3rd digit place
*=> 123,143,234,332,432
*
*using count sort at each step, which is stable.
*stable => already sorted according to previous digits.
*/
@@ -48,61 +48,85 @@ namespace sort
* @brief Constructor that initializes the vector on creation.
* @param a vector to be sorted.
*/
radix(std::vector<int>& a){
radix(const std::vector<int>& a){
ar = a;
n = ar.size();
}
int get_max(){ // returns the max element.
/**
* @brief Function that returns the max element.
* @returns none
*/
int get_max(){
int mx;for(int i = mx = 0;i < n;i++)mx = std::max(mx,ar[i]);
return mx;
}
/**
* @brief Function that print the elements of vector.
* @returns none
*/
void show(){
for(int i = 0;i < n;i++)std::cout<<ar[i]<<" ";std::cout<<"\n";
}
void radix_sort();
void step_ith(int dig);
};
void radix :: step_ith(int cur_digit){ // sorting according to current digit.
int position[10] = {0};
for(int i = 0;i < n;i++){
position[(ar[i]/cur_digit)%10]++; // counting frequency of 0-9 at cur_digit.
};
/**
* @brief Function to sort vector according to current digit using stable sorting.
* @returns none
*/
void radix :: step_ith(int cur_digit){ // sorting according to current digit.
std::vector<int> position(10,0);
for(int i = 0;i < n;i++){
position[(ar[i]/cur_digit)%10]++; // counting frequency of 0-9 at cur_digit.
}
int cur = 0;
for(int i = 0;i < 10;i++){
int a = position[i];
position[i] = cur; // assingning starting position of 0-9.
cur += a;
}
std::vector<int> temp(n);
for(int i = 0;i < n;i++){
temp[position[(ar[i]/cur_digit)%10]] = ar[i]; // storing ar[i] in ar[i]'s cur_digit expected position of this step.
position[(ar[i]/cur_digit)%10]++; // incrementing ar[i]'s cur_digit position by 1, as current place used by ar[i].
}
for(int i = 0;i < n;i++){
ar[i] = temp[i];
}
}
int cur = 0;
for(int i = 0;i < 10;i++){
int a = position[i];
position[i] = cur; // assingning starting position of 0-9.
cur += a;
/**
* @brief Function to sort vector digit by digit.
* @returns none
*/
void radix :: radix_sort(){
int max_ele = get_max();
for(int i = 1;max_ele/i > 0;i *= 10){ // loop breaks when i > max_ele because no further digits left to makes changes in array.
step_ith(i);
}
}
int temp[n];
for(int i = 0;i < n;i++){
temp[position[(ar[i]/cur_digit)%10]] = ar[i]; // storing ar[i] in ar[i]'s cur_digit expected position of this step.
position[(ar[i]/cur_digit)%10]++; // incrementing ar[i]'s cur_digit position by 1, as current place used by ar[i].
}
for(int i = 0;i < n;i++){
ar[i] = temp[i];
}
}
void radix :: radix_sort(){
int max_ele = get_max();
for(int i = 1;max_ele/i > 0;i *= 10){ // loop breaks when i > max_ele because no further digits left to makes changes in array.
step_ith(i);
}
}
} // namespace radix_sort
} // namespace radix_sort
} // namespace sort
void test1(){
std::vector<int> ar = {432,234,143,332,123};
sort::radix_sort::radix obj(ar);
obj.radix_sort();
obj.show();
}
void test2(){
std::vector<int> ar = {213,3214,123,111,112,142,133,132,32,12,113};
sort::radix_sort::radix obj(ar);
obj.radix_sort();
obj.show();
}
/**
* Function to test the above algorithm
* @returns none
*/
void test1(){
std::vector<int> ar = {432,234,143,332,123};
sort::radix_sort::radix obj(ar);
obj.radix_sort();
obj.show();
}
/**
* Function to test the above algorithm
* @returns none
*/
void test2(){
std::vector<int> ar = {213,3214,123,111,112,142,133,132,32,12,113};
sort::radix_sort::radix obj(ar);
obj.radix_sort();
obj.show();
}
/**
* @brief Main function
* @returns 0 on exit
@@ -111,5 +135,15 @@ int main()
{
test1();
test2();
int n;
std::cin>>n;
std::vector<int> ar;
for(int i = 0;i < n;i++){
int x;std::cin>>x;
ar.push_back(x);
}
sort::radix_sort::radix obj(ar);
obj.radix_sort();
obj.show();
return 0;
}