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Mathc matrices/a261

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c00a.c
/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r, int c)
{
double **A  = i_mR(r,c);
double **b  = i_mR(r,C1);
double **Ab = i_Abr_Ac_bc_mR(r,c,C1);

double **new_Ab = i_Abr_Ac_bc_mR(csize_A_R(Ab), 
                                 csize_A_R(Ab),
                                 csize_R(A)-rsize_R(A) + C1);  
            
double **x  = i_mR(rsize_R(new_Ab),csize_b_R(new_Ab));          
double **Ax = i_mR(r,csize_b_R(new_Ab));                        

  r_mR(A,999.);
  r_mR(b,999.);
  
  clrscrn();
  printf(" A :");
  p_mR(A,S8,P0,C7);
  
  printf(" b :");
  p_mR(b,S8,P0,C7);
  
  printf(" Ab :");
  c_A_b_Ab_mR(A,b,Ab);
  p_mR(Ab,S8,P0,C7);
  stop();

  clrscrn();
  GJ_TP_mR(Ab);
  printf(" Ab :");
  p_mR(Ab,S10,P4,C7);
  stop();  
  
  clrscrn();
  GJ_TPfreeV_mR(Ab,new_Ab); 
  printf(" new_Ab :"); 
  p_mR(new_Ab,S10,P4,C7);
  stop();  
  
  clrscrn();
  c_Ab_b_mR(new_Ab,x);
  printf(" x :"); 
  p_mR(x,S10,P4,C7);
  printf(" x : free variables");
  p_freeV(x,S8,P4);
  stop();  
  
  clrscrn();
  printf(" b :");
  p_mR(b,S8,P0,C7);
  printf(" A * x = b :");
  mul_mR(A,x,Ax); 
  p_mR(Ax,S10,P4,C7);
  
  f_mR(new_Ab);  
  f_mR(Ab);
  f_mR(b);
  f_mR(A);
  f_mR(x);
  f_mR(Ax);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));
do
{
  fun(rp_I(R3)+R1, rp_I(R3)+R4);


} while(stop_w());

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


Nous utilisons la fonction GJ_TP_mR(Ab); et GJ_TPfreeV_mR(); pour résoudre ce système.


Exemple de sortie écran :
 A :
    +381     -806     -402     -199     +391     +434 
    -386     -848     +618      +73     -731     -410 
    +360     +120     +112     +369     +998     +786 

 b :
    +941 
    -411 
    -113 

 Ab :
    +381     -806     -402     -199     +391     +434     +941 
    -386     -848     +618      +73     -731     -410     -411 
    +360     +120     +112     +369     +998     +786     -113 

 Press return to continue. 


 Ab :
   +1.0000    +0.0000    +0.0000    +0.7130    +2.4410    +1.9600    +0.2133 
   -0.0000    +1.0000    +0.0000    +0.1798    +0.2958    +0.0643    -0.4758 
   -0.0000    +0.0000    +1.0000    +0.8102    +0.7477    +0.6490    -1.1847 

 Press return to continue. 


 new_Ab :
   +1.0000    +0.0000    +0.0000    +0.0000    +0.0000    +0.0000    +0.2133 
   -0.0000    +1.0000    +0.0000    +0.0000    +0.0000    +0.0000    -0.4758 
   -0.0000    +0.0000    +1.0000    +0.0000    +0.0000    +0.0000    -1.1847 
   +0.0000    +0.0000    +0.0000    +1.0000    +0.0000    +0.0000    +0.0000 
   +0.0000    +0.0000    +0.0000    +0.0000    +1.0000    +0.0000    +0.0000 
   +0.0000    +0.0000    +0.0000    +0.0000    +0.0000    +1.0000    +0.0000 

   -0.7130    -2.4410    -1.9600 
   -0.1798    -0.2958    -0.0643 
   -0.8102    -0.7477    -0.6490 
   +1.0000    +0.0000    +0.0000 
   +0.0000    +1.0000    +0.0000 
   +0.0000    +0.0000    +1.0000 

 Press return to continue. 


 x :
   +0.2133    -0.7130    -2.4410    -1.9600 
   -0.4758    -0.1798    -0.2958    -0.0643 
   -1.1847    -0.8102    -0.7477    -0.6490 
   +0.0000    +1.0000    +0.0000    +0.0000 
   +0.0000    +0.0000    +1.0000    +0.0000 
   +0.0000    +0.0000    +0.0000    +1.0000 

 x : free variables
 x1 =   +0.2133  -0.7130*s  -2.4410*t  -1.9600*u
 x2 =   -0.4758  -0.1798*s  -0.2958*t  -0.0643*u
 x3 =   -1.1847  -0.8102*s  -0.7477*t  -0.6490*u
 x4 =   +0.0000  +1.0000*s  +0.0000*t  +0.0000*u
 x5 =   +0.0000  +0.0000*s  +1.0000*t  +0.0000*u
 x6 =   +0.0000  +0.0000*s  +0.0000*t  +1.0000*u

 Press return to continue. 


 b :
    +941 
    -411 
    -113 

 A * x = b :
 +941.0000    -0.0000    -0.0000    -0.0000 
 -411.0000    -0.0000    +0.0000    +0.0000 
 -113.0000    +0.0000    +0.0000    +0.0000 


 Press   return to continue
 Press X return to stop