Aller au contenu

Mathc matrices/a115

Un livre de Wikilivres.


Application


Installer et compiler ces fichiers dans votre répertoire de travail.


c00a.c
/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RA R3
#define   CA C3
#define   Cb C1
/* ------------------------------------ */
int main(void)
{
double ab[RA*(CA+C1)]={
    +346,     +262,      +43,     -578, 
    -560,     +831,     -984,     -731, 
    +346,     +262,      +43,     -578      
};

double **Ab = ca_A_mR(ab,i_Abr_Ac_bc_mR(RA,CA,Cb));

double **A  = c_Ab_A_mR(Ab,i_mR(RA,CA));
double **b  = c_Ab_b_mR(Ab,i_mR(RA,Cb));

double **Ab_free = i_Abr_Ac_bc_mR(csize_A_R(Ab),csize_A_R(Ab),Cb+C1);

double **b_free  = i_mR(rsize_R(Ab_free),csize_b_R(Ab_free)); 

int r;

  clrscrn();
  printf(" A :");
  p_mR(A,S10,P4,C10);
  printf(" b :");
  p_mR(b,S10,P4,C10);
  printf(" Ab :");
  p_mR(Ab,S10,P4,C10);
  stop();

  clrscrn();
  printf(" Copy/Past into the octave window.\n\n");
  p_Octave_mR(Ab,"Ab",P4);
  printf("\n rref(Ab,.00000000001)\n\n");
  printf(" Ab :  gj_PP_mR(Ab,NO) :");
  gj_PP_mR(Ab,NO);
  p_mR(Ab,S10,P4,C10);
  stop();
  
  clrscrn();  
  put_zeroR_mR(Ab,Ab_free);  
  printf(" Ab_free : put_zeroR_mR(Ab,Ab_free);");  
  p_mR(Ab_free,S10,P4,C10);  
  
  put_freeV_mR(Ab_free);
  printf(" Ab_free : put_freeV_mR(Ab_free);");  
  p_mR(Ab_free,S10,P4,C10);  
  stop();
  
  clrscrn();
  printf(" Copy/Past into the octave window.\n\n");
  p_Octave_mR(Ab_free,"Ab_free",P4);
  printf("\n rref(Ab_free,.00000000001)\n\n");

  r = rsize_R(Ab_free);
  while(r>R1)    
        zero_below_pivot_gj1Ab_mR(Ab_free,r--);
        
  printf(" Ab_free : zero_below_pivot_gj1Ab_mR(Ab_free,r--);");  
  p_mR(Ab_free,S10,P4,C10);  
  stop();	
  
  clrscrn();
  c_Ab_b_mR(Ab_free,b_free);
  printf(" b_free :"); 
  p_mR(b_free,S10,P4,C7);
  printf(" b_free : free variables");
  p_freeV(b_free,S8,P4);
  stop();

  f_mR(Ab);
  f_mR(Ab_free);
  f_mR(b_free);
  f_mR(b);
  f_mR(A);
  
  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */


Exemple de sortie écran :
 ---------------------
 A :
 +346.0000  +262.0000   +43.0000 
 -560.0000  +831.0000  -984.0000 
 +346.0000  +262.0000   +43.0000 

 b :
 -578.0000 
 -731.0000 
 -578.0000 

 Ab :
 +346.0000  +262.0000   +43.0000  -578.0000 
 -560.0000  +831.0000  -984.0000  -731.0000 
 +346.0000  +262.0000   +43.0000  -578.0000 

 Press return to continue. 


 ---------------------
 Copy/Past into the octave window.

 Ab=[
+346.0000,+262.0000,+43.0000,-578.0000;
-560.0000,+831.0000,-984.0000,-731.0000;
+346.0000,+262.0000,+43.0000,-578.0000]


 rref(Ab,.00000000001)

 Ab :  gj_PP_mR(Ab,NO) :
   +1.0000    -1.4839    +1.7571    +1.3054 
   +0.0000    +1.0000    -0.7286    -1.3278 
   +0.0000    +0.0000    +0.0000    +0.0000 

 Press return to continue. 


 ---------------------
 Ab_free : put_zeroR_mR(Ab,Ab_free);
   +1.0000    -1.4839    +1.7571    +1.3054    +0.0000 
   +0.0000    +1.0000    -0.7286    -1.3278    +0.0000 
   +0.0000    +0.0000    +0.0000    +0.0000    +0.0000 

 Ab_free : put_freeV_mR(Ab_free);
   +1.0000    -1.4839    +1.7571    +1.3054    +0.0000 
   +0.0000    +1.0000    -0.7286    -1.3278    +0.0000 
   +0.0000    +0.0000    +1.0000    +0.0000    +1.0000 

 Press return to continue. 


 ---------------------
 Copy/Past into the octave window.

 Ab_free=[
+1.0000,-1.4839,+1.7571,+1.3054,+0.0000;
+0.0000,+1.0000,-0.7286,-1.3278,+0.0000;
+0.0000,+0.0000,+1.0000,+0.0000,+1.0000]


 rref(Ab_free,.00000000001)

 Ab_free : zero_below_pivot_gj1Ab_mR(Ab_free,r--);
   +1.0000    +0.0000    +0.0000    -0.6651    -0.6760 
   +0.0000    +1.0000    +0.0000    -1.3278    +0.7286 
   +0.0000    +0.0000    +1.0000    +0.0000    +1.0000 

 Press return to continue. 


 ---------------------
 b_free :
   -0.6651    -0.6760 
   -1.3278    +0.7286 
   +0.0000    +1.0000 

 b_free : free variables
 x1 =   -0.6651  -0.6760*v
 x2 =   -1.3278  +0.7286*v
 x3 =   +0.0000  +1.0000*v

 Press return to continue.