GTU C PROGRAMS | RADIX SORT PROGRAM

C :
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/* RADIX SORT */
/* RADIX.C*/
# include<stdio.h>
# include<malloc.h>
# include<stdlib.h>
struct node
{
 int data ;
 struct node *next;
};
typedef struct node node1;
node1 *first;
node1 *pocket[100], *pocket1[100];
void create_node(node1 *, int);
void display(node1 *);
node1 *radix_sort(node1 *);
int large(node1 * );
int numdig(int );
int digit(int , int);
void update(int, node1 *);
node1 *Make_link(int, node1 *);
/* This function create nodes and take input data */
void  create_node(node1 *rec, int n)
{
 int i, j, k;
 for(i = 0 ; i< n; i++)
 {
  rec->next = (node1 *) malloc(sizeof(node1));
  printf("\n First node value: %d: ", i);
  scanf("%d", &rec->data);
  rec = rec->next;
 }
 rec->data = NULL;
 rec->next = NULL;
}
/* Output Function */
void  display(node1 *rec)
{
 while(rec != NULL)
 {
  printf(" %d", rec->data);
  rec= rec->next;
 }
}
/* This radix sort function */
node1 *radix_sort(node1 *rec)
{
 node1 *r, *nex;
 int poc = 0 ;
 int i, j, k;
 int larg = large(rec);
 int m = numdig(larg);
 /* These statements create pockets */
 for(k = 0 ; k < 10; k++)
 {
  pocket[k] = (node1 *)malloc(sizeof(node1));
  pocket1[k] = (node1 *)malloc(9*sizeof(node1));
 }
 /* These statements initialize pockets */
 for(j = 1; j <= m ; j++)
 {
  for(i = 0 ; i < 10 ; i++)
  {
   pocket[i] = NULL;
   pocket1[i] = NULL ;
  }
  r = rec ;
  while(r != NULL)
  {
   int dig = digit(r->data, j);
   nex = r->next ;
   update(dig,r);
   r = nex;
  }
  if(r!= NULL)
  {
   int dig = digit(r->data,j);
   update(dig,r);
  }
  while(pocket1[poc] == NULL)
   poc ++;
  rec = Make_link(poc, rec);
 }
 return(rec);
}
/* This function finds largest number in the list */
int large(node1 *rec)
{
 node1 *save ;
 int p = 0;
 save = rec ;
 while(save != NULL)
 {
  if(save ->data > p)
  {
   p = save->data;
  }
  save = save->next ;
 }
 printf("\n Largest element: %d", p);
 return(p);
}
/* This Function finds number digits in a number */
int numdig(int large)
{
 int temp = large ;
 int num = 0 ;
 while(temp != 0)
 {
  ++num ;
  temp = temp/10 ;
 }
 printf("\n  Number of digits of the number %d is %d\n", large, num);
 return(num);
}
/* This function scarve a number into digits */
int digit(int num, int j)
{
 int dig, i, k;
 int temp = num ;
 for(i = 0 ; i < j ; i++)
 {
  dig = temp % 10 ;
  temp = temp / 10 ;
 }
 printf("\n  %d digit of number  %d is %d", j, num, dig);
 return(dig);
}
/* This function updates the pockets value */
void  update(int dig, node1 *r)
{
 if(pocket[dig] == NULL)
 {
  pocket[dig] = r ;
  pocket1[dig] = r ;
 }
 else
 {
  pocket[dig]->next = r ;
  pocket[dig] = r ;
 }
 r->next = NULL;
}
/* This function create links between the nodes */
node1* Make_link(int poc , node1 *rec)
{
 int i, j, k;
 node1 *pointer;
 rec = pocket1[poc];
 for(i = poc +1 ; i< 10 ; i++)
 {
  pointer = pocket[i-1];
  if(pocket[i] != NULL)
   pointer->next= pocket1[i];
  else
   pocket[i] = pointer ;
 }
 return(rec);
}
/* Main function */
void  main()
{
 node1 *start, *pointer;
 int number;
 printf("\n Input the number of elements in the list:");
 scanf("%d", &number);
 start = (node1 *)malloc(sizeof(node1));
 create_node(start, number);
 printf("\n Given list is as follows \n");
 display(start);
 start = radix_sort(start);
 printf("\n Sorted list is as follows:\n");
 display (start);
}
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C++

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 // RADIX SORT
 // RADIX.CPP
#include<iostream.h>
#include<conio.h>
#include<malloc.h>
#include<stdlib.h>
struct node
{
 int data;
 struct node *next;
};
typedef struct node node1;
class radix
{
 public:
  node1 *first;
  node1 *pocket[100], *pocket1[100];
 public:
  void create_node(node1 *, int);
  void display(node1 *);
  node1 *radix_sort(node1 *);
  int large(node1 * );
  int numdig(int );
  int digit(int , int);
  void update(int, node1 *);
  node1 *Make_link(int, node1 *);
};
// This function create nodes and take input data
void radix :: create_node(node1 *rec, int n)
{
 for( int i = 1 ; i<= n; i++)
 {
  rec->next = (node1 *) malloc(sizeof(node1));
  cout<<"\n First node value:"<<i<<":";
  cin>>rec->data;
  rec = rec->next;
 }
 rec->next = NULL;
}
// Output Function
void radix ::  display(node1 * rec)
{
 while(rec)
 {
  cout<<"  "<<rec->data;
  rec= rec->next;
 }
 getch();
}
// This radix sort function
node1 * radix ::  radix_sort(node1 *rec)
{
 int larg = large(rec);
 int m = numdig(larg);
// These statements create pockets
 for(int k = 0 ; k < 10; k++)
 {
  pocket[k] = (node1 *)malloc(sizeof(node1));
  pocket1[k] = (node1 *)malloc(9*sizeof(node1));
 }
// These statements initialize pockets
 for(int j = 1; j <= m ; j++)
 {
  for(int i = 0 ; i < 10 ; i++)
  {
   pocket[i] = NULL;
   pocket1[i] = NULL ;
  }
  node1 *r = rec ;
  while(r != NULL)
  {
   int dig = digit(r->data, j);
   node1 *nex = r->next ;
   update(dig,r);
   r = nex;
  }
  if(r!= NULL)
  {
   int dig = digit(r->data,j);
   update(dig,r);
  }
  int poc = 0 ;
  while(pocket1[poc] == NULL)
   poc ++;
  rec = Make_link(poc, rec);
  cout<<"\n Newly ordered list:\n";
  display(rec);
 }
 return(rec);
}
// This function finds largest number in the list
int radix :: large(node1 *rec)
{
 node1 *save ;
 int p = 0;
 save = rec ;
 while(save != NULL)
 {
  if(save ->data > p)
   p = save->data;
  save = save->next ;
 }
 cout <<"\n Largest element:"<<p;
 return(p);
}
// This Function finds number digits in a number
int radix :: numdig(int large)
{
 int temp = large ;
 int num = 0 ;
 while(temp != 0)
 {
  ++num ;
  temp = temp/10 ;
 }
 cout <<"\n Number of digits of the number "<<large<<" is "<<num ;
 return(num);
}
// This function scarve a number into digits
int radix :: digit(int num, int j)
{
 int dig ;
 int temp = num ;
 for( int i = 0 ; i < j ; i++)
 {
  dig = temp % 10 ;
  temp = temp / 10 ;
 }
 cout<<"\n";
 cout <<j <<" digit of number "<<num <<" is "<<dig;
 getch();
 return(dig);
}
// This function updates the pockets value
void radix :: update(int dig, node1 *r)
{
 if(pocket[dig] == NULL)
 {
  pocket[dig] = r ;
  pocket1[dig] = r ;
 }
 else
 {
  pocket[dig]->next = r ;
  pocket[dig] = r ;
 }
 r->next = NULL;
}
// This function create links between the nodes
node1* radix :: Make_link(int poc , node1 *rec)
{
 node1 *pointer;
 rec = pocket1[poc];
 for(int i = poc +1 ; i< 10 ; i++)
 {
  pointer = pocket[i-1];
  if(pocket[i] != NULL)
   pointer->next= pocket1[i];
  else
   pocket[i] = pointer ;
 }
 return(rec);
}
// Main function
void  main()
{
 radix rad;
 node1 *start, *pointer;
 int number;
 cout<<"\n Input the elements of the list :\n";
 cout<<"\n Input the number of elements in the list:";
 cin>>number;
 start = (node1 *)malloc(sizeof(node1));
 rad.create_node(start, number);
 cout<<"\n Given list is as follows \n";
 rad.display(start);
 start = rad.radix_sort(start);
 cout<<"\n Sorted list is as follows:\n";
 rad.display (start);
}

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