Mathc initiation/Fichiers h : x 17c02

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	c02.c

/* ---------------------------------- */
/*  Save as :   c02.c                 */
/* ---------------------------------- */
#include "x_ahfile.h"
/* ---------------------------------- */
int main(void)
{
Set A,B,C,
    D,E,
    F,G,H;
int i;
 
  create_SetI(&A);  create_SetI(&B);  create_SetI(&C);
  create_SetI(&D);  create_SetI(&E);
  create_SetI(&F);  create_SetI(&G);  create_SetI(&H);

  for(i=1; i<=7;  i++) insert_EI(&A,i);
  for(i=4; i<=10; i++) insert_EI(&B,i);
  insert_EI(&C,1);insert_EI(&C,5);insert_EI(&C,9);insert_EI(&C,12);

  clrscrn();
  p_SetI(&A,"A");
  p_SetI(&B,"B");
  p_SetI(&C,"C");

  printf(" D = (B inter C)\n");
  inter_SI(&B,&C,&D); 
  p_SetI(&D,"D");

  printf(" E = A union (B inter C)\n");
  union_SI(&A,&D,&E);  
  p_SetI(&E,"E");
  stop();

  clrscrn();
  p_SetI(&A,"A");
  p_SetI(&B,"B");
  p_SetI(&C,"C");

  printf(" F = (A union B)\n");
  union_SI(&A,&B,&F);
  p_SetI(&F,"F");

  printf(" G = (A union C)\n");
  union_SI(&A,&C,&G);p_SetI(&G,"G");

  printf(" H = (A union B) inter (A union C)\n");
  inter_SI(&F,&G,&H);
  p_SetI(&H,"H");
  stop();

  clrscrn();
  printf("  A union (B inter C) = (A union B) inter (A union C)\n\n\n");
  printf(" E = A union (B inter C)\n");
  p_SetI(&E,"E");
  
  printf(" H = (A union B) inter (A union C)\n");
  p_SetI(&H,"H");
  
  erase_SetI(&H);erase_SetI(&G);erase_SetI(&F);
  erase_SetI(&E);erase_SetI(&D);
  erase_SetI(&C);erase_SetI(&B);erase_SetI(&A);

  stop();

  return 0;
}

Nous allons vérifier que :

   A union (B inter C) = (A union B) inter (A union C)

Exemple de sortie écran :

 A union (B inter C) = (A union B) inter (A union C)


 E = A union (B inter C)
 E = {9,1,2,3,4,5,6,7}



 H = (A union B) inter (A union C)
 H = {7,6,5,4,3,2,1,9}




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