Mathc complexes/a37

Application

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	c00b.c

/* ------------------------------------ */
/*  Save as :   c00b.c                  */
/* ------------------------------------ */
#include "w_a.h"  
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r)
{
double **Ab = r_mZ(i_Abr_Ac_bc_mZ(r-R2,r,C1),999);
double **Ab_free =             i_Abr_Ac_bc_mZ(r,r,C5);
double **b       =             i_mZ(r,C5);

  clrscrn();
  printf(" Ab :");
  p_mZ(Ab, S8,P2, S8,P2, C4);    
 
  printf(" gj_PP_mZ(Ab) :");
  p_mZ(gj_PP_mZ(Ab), S8,P4, S8,P4, C4); 
  stop(); 
  
  clrscrn();     
  put_zeroR_mZ(Ab,Ab_free); 
  put_freeV_mZ(Ab_free);
  printf(" put_zero_row_mZ(Ab,Ab_free);\n"
         " put_freeV_mZ(Ab_free);\n\n"
         " Ab_free :");
  p_mZ(Ab_free, S8,P4, S8,P4, C4);
  stop(); 
  
  clrscrn();  
  printf(" Copy/Past into the octave window.\n\n");
  p_Octave_mZ(Ab_free,"Ab_free",P10, P10);
  printf(" rref(Ab_free,.00000000001)\n\n");
  stop(); 
  
  clrscrn(); 
  printf(" gj_mZ(Ab) :");
  p_mZ(gj_mZ(Ab_free), S8,P4, S8,P4, C4);  
  stop(); 
  
  clrscrn(); 
  printf(" new_b : free variables");  
  p_mZ(c_Ab_b_mZ(Ab_free,b), S8,P4, S8,P4, C4);  

  f_mZ(Ab);
  f_mZ(Ab_free);
  f_mZ(b);  
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun(R5);

} while(stop_w());

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

J'ai essayé de rendre cet exemple le plus générique possible.

La matrice A a 5 colonnes et 3 lignes. Elle peut donc de manière aléatoire avoir entre 2 et 4 variables libres.

double **Ab = r_singular_Ab_mZ(i_Abr_Ac_bc_mZ(R3,R5,C1),999);

La matrice Ab_free a 5 colonnes réservé pour b. Cela permet de gérer des matrices qui ont entre 2 et 4 variables libres. 5 colonnes c'est à dire 4 pour les variables libres et une pour b. Les colonnes de variables libres non utilisés sont nulles.

 double **Ab_free =             i_Abr_Ac_bc_mZ(R5,R5,C5);

Exemple de sortie écran :

 ------------------------------------ 
 Ab :
 +987.00 +365.00i  -103.00 +942.00i  +455.00 +889.00i   +90.00 -686.00i 
 +794.00 +937.00i  -280.00  -34.00i   -11.00  +81.00i  +349.00 +111.00i 
 +993.00   -2.00i  -585.00 +232.00i  +792.00 -193.00i  +383.00 -776.00i 

 +127.00 +201.00i  -716.00 -414.00i 
 +205.00 -578.00i  -574.00 -523.00i 
  +61.00 +944.00i  -598.00 -212.00i 

 gj_PP_mZ(Ab) :
 +1.0000 +0.0000i  -0.1685 +0.1560i  +0.0445 +0.0495i  +0.2527 -0.1584i 
 +0.0000 +0.0000i  +1.0000 +0.0000i  +1.0209 -0.3606i  -0.7532 +0.1490i 
 +0.0000 +0.0000i  -0.0000 +0.0000i  +1.0000 +0.0000i  +0.0251 -0.4241i 

 -0.2511 -0.4316i  -0.6270 +0.0813i 
 +0.8649 -0.1334i  -0.3172 +0.0345i 
 +0.1112 +1.1357i  -0.0005 -0.2227i 

 Press return to continue. 


 ------------------------------------
 put_zero_row_mZ(Ab,Ab_free);
 put_freeV_mZ(Ab_free);

 Ab_free :
 +1.0000 +0.0000i  -0.1685 +0.1560i  +0.0445 +0.0495i  +0.2527 -0.1584i 
 +0.0000 +0.0000i  +1.0000 +0.0000i  +1.0209 -0.3606i  -0.7532 +0.1490i 
 +0.0000 +0.0000i  -0.0000 +0.0000i  +1.0000 +0.0000i  +0.0251 -0.4241i 
 +0.0000 +0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i  +1.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i 

 -0.2511 -0.4316i  -0.6270 +0.0813i  +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.8649 -0.1334i  -0.3172 +0.0345i  +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.1112 +1.1357i  -0.0005 -0.2227i  +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i  +1.0000 +0.0000i  +0.0000 +0.0000i 
 +1.0000 +0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i  +1.0000 +0.0000i 

 +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 

 Press return to continue. 


 ------------------------------------
 gj_mZ(Ab) :
 +1.0000 +0.0000i  +0.0000 -0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i 
 -0.0000 +0.0000i  +1.0000 +0.0000i  -0.0000 +0.0000i  -0.0000 +0.0000i 
 +0.0000 +0.0000i  -0.0000 +0.0000i  +1.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i  +1.0000 +0.0000i 
 +0.0000 +0.0000i  -0.0000 -0.0000i  -0.0000 +0.0000i  +0.0000 +0.0000i 

 -0.0000 +0.0000i  -0.6370 +0.1722i  -0.2173 -0.0565i  +0.3378 +0.7521i 
 +0.0000 +0.0000i  -0.2364 +0.2617i  +0.6259 -0.5911i  -0.3418 +1.2528i 
 -0.0000 -0.0000i  -0.0005 -0.2227i  -0.0251 +0.4241i  -0.1112 -1.1357i 
 +0.0000 +0.0000i  +0.0000 +0.0000i  +1.0000 +0.0000i  +0.0000 +0.0000i 
 +1.0000 -0.0000i  +0.0000 -0.0000i  -0.0000 -0.0000i  +1.0000 -0.0000i 

 +0.0000 +0.0000i  +0.0000 +0.0000i 
 -0.0000 +0.0000i  -0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +0.0000 +0.0000i 

 Press return to continue. 


 ------------------------------------
 new_b : free variables
 -0.6370 +0.1722i  -0.2173 -0.0565i  +0.3378 +0.7521i  +0.0000 +0.0000i 
 -0.2364 +0.2617i  +0.6259 -0.5911i  -0.3418 +1.2528i  -0.0000 +0.0000i 
 -0.0005 -0.2227i  -0.0251 +0.4241i  -0.1112 -1.1357i  +0.0000 +0.0000i 
 +0.0000 +0.0000i  +1.0000 +0.0000i  +0.0000 +0.0000i  +0.0000 +0.0000i 
 +0.0000 -0.0000i  -0.0000 -0.0000i  +1.0000 -0.0000i  +0.0000 +0.0000i 

 +0.0000 +0.0000i 
 -0.0000 +0.0000i 
 +0.0000 +0.0000i 
 +0.0000 +0.0000i 
 +0.0000 +0.0000i 


 Press return to continue
 Press X      to stop