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Practical Paper
Industrial Training
Program to transpose a sparse matrix
/* Program to transpose a sparse matrix */
#include <stdio.h>
                      #include <conio.h>
                      #include <alloc.h>
#define MAX1 3
                      #define MAX2 3
struct sparse
                      {
                      int *sp ;
                      int row ;
                      } ;
void initsparse ( struct sparse * ) ;
                      void create_array ( struct sparse * ) ;
                      void display ( struct sparse ) ;
                      int count ( struct sparse ) ;
                      void create_tuple ( struct sparse *, struct sparse ) ;
                      void display_tuple ( struct sparse ) ;
                      void transpose ( struct sparse *, struct sparse ) ;
                      void display_transpose ( struct sparse ) ;
                      void delsparse ( struct sparse * ) ;
void main( )
                      {
                      struct sparse s[3] ;
                      int c, i ;
 for ( i = 0 ; i <= 2 ; i++ )
                      initsparse ( &s[i] ) ;
clrscr( ) ;
create_array ( &s[0] ) ;
 printf ( "\nElements in Sparse Matrix: " ) ;
                      display ( s[0] ) ;
 c = count ( s[0] ) ;
                      printf ( "\n\nNumber of non-zero elements: %d", c ) ;
 create_tuple ( &s[1], s[0] ) ;
                      printf ( "\n\nArray of non-zero elements: " ) ;
                      display_tuple ( s[1] ) ;
 transpose ( &s[2], s[1] ) ;
                      printf ( "\n\nTranspose of array: " ) ;
                      display_transpose ( s[2] ) ;
 for ( i = 0 ; i <= 2 ; i++ )
                      delsparse ( &s[i] ) ;
 getch( ) ;
                      }
/* initialises data members */
                      void initsparse ( struct sparse *p )
                      {
                      p -> sp = NULL ;
                      }
/* dynamically creates the matrix of size MAX1 x MAX2 */
                      void create_array ( struct sparse *p )
                      {
                      int n, i ;
p -> sp = ( int * ) malloc ( MAX1 * MAX2 * sizeof ( int ) ) ;
 for ( i = 0 ; i < MAX1 * MAX2 ; i++ )
                      {
                      printf ( "Enter element no. %d:", i ) ;
                      scanf ( "%d", &n ) ;
 * ( p -> sp + i ) = n ;
                      }
                      }
/* displays the contents of the matrix */
                      void display ( struct sparse s )
                      {
                      int i ;
 /* traverses the entire matrix */
                      for ( i = 0 ; i < MAX1 * MAX2 ; i++ )
                      {
                      /* positions the cursor to the new line for every new row */
                      if ( i % MAX2 == 0 )
                      printf ( "\n" ) ;
                      printf ( "%d\t", * ( s.sp + i ) ) ;
                      }
                      }
/* counts the number of non-zero elements */
                      int count ( struct sparse s )
                      {
                      int cnt = 0, i ;
 for ( i = 0 ; i < MAX1 * MAX2 ; i++ )
                      {
                      if ( * ( s.sp + i ) != 0 )
                      cnt++ ;
                      }
                      return cnt ;
                      }
/* creates an array that stores information about non-zero elements */
                      void create_tuple ( struct sparse *p, struct sparse s )
                      {
                      int r = 0 , c = -1, l = -1, i ;
p -> row = count ( s ) + 1 ;
 p -> sp = ( int * ) malloc ( p -> row * 3 * sizeof ( int ) ) ;
                      * ( p -> sp + 0 ) = MAX1 ;
                      * ( p -> sp + 1 ) = MAX2 ;
                      * ( p -> sp + 2 ) = p -> row - 1 ;
l = 2 ;
 for ( i = 0 ; i < MAX1 * MAX2 ; i++ )
                      {
                      c++ ;
 /* sets the row and column values */
                      if ( ( ( i % MAX2 ) == 0 ) && ( i != 0 ) )
                      {
                      r++ ;
                      c = 0 ;
                      }
 /* checks for non-zero element
                      row, column and non-zero element value
                      is assigned to the matrix */
                      if ( * ( s.sp + i ) != 0 )
                      {
                      l++ ;
                      * ( p -> sp + l ) = r ;
                      l++ ;
                      * ( p -> sp + l ) = c ;
                      l++ ;
                      * ( p -> sp + l ) = * ( s.sp + i ) ;
                      }
                      }
                      }
/* displays the contents of 3-tuple */
                      void display_tuple ( struct sparse p )
                      {
                      int i ;
 for ( i = 0 ; i < p.row * 3 ; i++ )
                      {
                      if ( i % 3 == 0 )
                      printf ( "\n" ) ;
                      printf ( "%d\t", * ( p.sp + i ) ) ;
                      }
                      }
/* obtains transpose of an array */
                      void transpose ( struct sparse *p, struct sparse s )
                      {
                      int x, q, pos_1, pos_2, col, elem, c, y ;
 /* allocate memory */
                      p -> sp = ( int * ) malloc ( s.row * 3 * sizeof ( int ) ) ;
                      p -> row = s.row ;
 /* store total number of rows, cols
                      and non-zero elements */
                      * ( p -> sp + 0 ) = * ( s.sp + 1 ) ;
                      * ( p -> sp + 1 ) = * ( s.sp + 0 ) ;
                      * ( p -> sp + 2 ) = * ( s.sp + 2 ) ;
 col = * ( p -> sp + 1 ) ;
                      elem = * ( p -> sp + 2 ) ;
 if ( elem <= 0 )
                      return ;
x = 1 ;
 for ( c = 0 ; c < col ; c++ )
                      {
                      for ( y = 1 ; y <= elem ; y++ )
                      {
                      q = y * 3 + 1 ;
                      if ( * ( s.sp + q ) == c )
                      {
                      pos_2 = x * 3 + 0 ;
                      pos_1 = y * 3 + 1 ;
                      * ( p -> sp + pos_2 ) = * ( s.sp + pos_1 ) ;
 pos_2 = x * 3 + 1 ;
                      pos_1 = y * 3 + 0 ;
                      * ( p -> sp + pos_2 ) = * ( s.sp + pos_1 ) ;
 pos_2 = x * 3 + 2 ;
                      pos_1 = y * 3 + 2 ;
                      * ( p -> sp + pos_2 ) = * ( s.sp + pos_1 ) ;
 x++ ;
                      }
                      }
                      }
                      }
/* displays 3-tuple after transpose operation */
                      void display_transpose ( struct sparse p )
                      {
                      int i ;
 for ( i = 0 ; i < p.row * 3 ; i++ )
                      {
                      if ( i % 3 == 0 )
                      printf ( "\n" ) ;
                      printf ( "%d\t", * ( p.sp + i ) ) ;
                      }
                      }
/* deallocates memory */
                      void delsparse ( struct sparse *p )
                      {
                      free ( p -> sp ) ;
                      }
