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Mathc matrices/e1505

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Étude du code


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gj05.c
/* ------------------------------------ */
/*  Save as :   gj05.c                 */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
double **xx_sort_r_mR(
double **Ab
)
{
double pivot;
int c;
int r;
int r_pivot = R1;

clrscrn();            
printf(" Ab :   Before the function sort_r_mR(); \n");
p_mR(Ab,S8,P4,C6);
stop();
clrscrn(); 

    for ( c=C1; c<Ab[C_SIZE_A][C0]; c++)
      {
              r = r_pivot;
          pivot = 0.;
          
      while( (pivot<ERROR_E) && r<Ab[R_SIZE][C0] )
         {
          pivot = fabs( Ab[r][c] );
clrscrn();     
printf("/* --------- DEBUG 1 ---------- */\n\n");       
printf(" Ab : pivot[%d][%d] = %f  \n",r,c,pivot);
p_mR(Ab,S8,P4,C8);

          if(pivot>ERROR_E) 
          {
            swapR_mR(Ab, r, r_pivot);
            r_pivot++;
          }
printf(" Ab");
p_mR(Ab,S8,P4,C8);
stop();
clrscrn();                            
/* --------- DEBUG 1 ---------- */

          r++;
         }
       }
       
 return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **XX_gj_TP_mR(
double **Ab
)
{
   gj1_T_mR(Ab);  
   sort_c_mR(Ab);
  
   xx_sort_r_mR(Ab);
  
return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r)
{
double **A  = i_mR(r,r);
double **b  = i_mR(r,C1);
double **Ab = i_Abr_Ac_bc_mR(r,r,C1);
/*            i_Abr_Ac_bc_mR(R_Ab,C_A,C_b));  */

 do
  {
   r_mR(A,999.);
   printf(".");
  }while(!det_R(A));

  r_mR(b,999.);
  c_A_b_Ab_mR(A,b,Ab);
  
  clrscrn();
  printf(" Copy/Past into the octave window.\n\n");
  p_Octave_mR(Ab,"Ab",P0);
  printf("\n rref(Ab,.00000000001)\n\n");
  stop();

  clrscrn();
  XX_gj_TP_mR(Ab);
  printf("  gj_TP_mR(Ab) :\n");
  p_mR(Ab,S10,P4,C7);
  
  
  f_mR(Ab);
  f_mR(b);
  f_mR(A);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));
do
{
  fun(R5);


} while(stop_w());

  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */


On peut voir la méthode utiliser pour mettre les lignes dans la bon ordre.


Exemple de sortie écran :
 ------------------------------------ 
 Ab :   Before the function sort_r_mR(); 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[1][1] = 0.000000  
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[2][1] = 0.000000  
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[3][1] = 0.000000  
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 



/* --------- DEBUG 1 ---------- */

 Ab : pivot[4][1] = 1.000000  
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[2][2] = 1.000000  
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 



/* --------- DEBUG 1 ---------- */

 Ab : pivot[3][3] = 0.000000  
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[4][3] = 1.000000  
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[4][4] = 0.000000  
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Press return to continue. 



/* --------- DEBUG 1 ---------- */

 Ab : pivot[5][4] = 1.000000  
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 

 Press return to continue. 



/* --------- DEBUG 1 ---------- */

 Ab : pivot[5][5] = 1.000000  
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000  +4.3646 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +1.6377 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +8.1356 
 -0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -6.0972 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  +3.9061 

 Press return to continue. 



  gj_TP_mR(Ab) :
  +1.00000   +0.00000   +0.00000   +0.00000   +0.00000   +4.36463 
  +0.00000   +1.00000   +0.00000   +0.00000   +0.00000   +1.63773 
  +0.00000   +0.00000   +1.00000   +0.00000   +0.00000   +8.13564 
  -0.00000   -0.00000   -0.00000   +1.00000   -0.00000   -6.09718 
  +0.00000   +0.00000   +0.00000   +0.00000   +1.00000   +3.90608 


 Press return to continue
 Press X      to stop