Mathc complexes/a210

Application

Installer et compiler ce fichier dans votre répertoire de travail.

	c00a.c

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
void fun(void)
{ 
double **U_T = r_mZ(i_mZ(R1, C3), 9);  
double **V_T = r_mZ(i_mZ(R1, C3), 9);   
double **W_T = r_mZ(i_mZ(R1, C3), 9);
 
double **UxV_T           = i_mZ(R1, C3);
double **UxW_T           = i_mZ(R1, C3);
double **UxV_T_pls_UxW_T = i_mZ(R1, C3);

double **V_plus_W_T      = add_mZ(V_T,W_T,i_mZ(R1, C3));
double **Ux_VplusW_T     =                i_mZ(R1, C3);

double **A = m1_mZ(i_mZ(R3, C3));

// (u x v) 
  c_r_mZ(U_T, R1, A, R2);
  c_r_mZ(V_T, R1, A, R3);
  
// cofactor(A) -> (u x v)   
  c_z_mZ(cofactor_Z(A, R1, C1),       UxV_T, R1, C1);
  c_z_mZ(cofactor_Z(A, R1, C2*C2-C1), UxV_T, R1, C2);
  c_z_mZ(cofactor_Z(A, R1, C3*C2-C1), UxV_T, R1, C3);
//                          c*C2    : a number has two columns                              
//                              -C1 : The real part of the number

// (u x w)  
  c_r_mZ(U_T, R1, A, R2);
  c_r_mZ(W_T, R1, A, R3);
  
// cofactor(A) -> (u x w)   
  c_z_mZ(cofactor_Z(A, R1, C1),       UxW_T, R1, C1);
  c_z_mZ(cofactor_Z(A, R1, C2*C2-C1), UxW_T, R1, C2);
  c_z_mZ(cofactor_Z(A, R1, C3*C2-C1), UxW_T, R1, C3);
//                          c*C2    : a number has two columns                              
//                              -C1 : The real part of the number

// (uxv) + (uxw)
  add_mZ(UxV_T,UxW_T,UxV_T_pls_UxW_T);

//  u x (v+w)    
  c_r_mZ(U_T,        R1, A, R2);
  c_r_mZ(V_plus_W_T, R1, A, R3);
  
// cofactor(A) -> (u x (v+w))   
  c_z_mZ(cofactor_Z(A, R1, C1),       Ux_VplusW_T, R1, C1);
  c_z_mZ(cofactor_Z(A, R1, C2*C2-C1), Ux_VplusW_T, R1, C2);
  c_z_mZ(cofactor_Z(A, R1, C3*C2-C1), Ux_VplusW_T, R1, C3);
//                          c*C2    : a number has two columns                              
//                              -C1 : The real part of the number
    
  clrscrn();       
  printf("  u_T  :");
  p_mZ(U_T, S4, P0, S3, P0, C6);
  printf("  v_T  :");
  p_mZ(V_T, S4, P0, S3, P0, C6);
  printf("  w_T  :");
  p_mZ(W_T, S4, P0, S3, P0, C6);

  printf("\n\n"
         "    u  x (v+w) == (uxv) + (uxw) \n\n"  
         "    u  x (v+w) :");    
  p_mZ(Ux_VplusW_T,     S5, P0, S3, P0, C6);                       
  printf(" (uxv) + (uxw) :");
  p_mZ(UxV_T_pls_UxW_T, S5, P0, S3, P0, C6);
  
  f_mZ(U_T); 
  f_mZ(V_T);
  f_mZ(W_T);  

  f_mZ(UxV_T); 
  f_mZ(UxW_T);
  f_mZ(UxV_T_pls_UxW_T); 

  f_mZ(V_plus_W_T);
  f_mZ(Ux_VplusW_T);
       
  f_mZ(A); 
}
/* ------------------------------------ */
int main(void)
{
time_t t;

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

} while(stop_w());

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

Les vecteurs en mathématiques sont supposés être des vecteurs colonnes, c'est pour cela que j'utilise _T pour afficher des vecteurs lignes.

Exemple de sortie écran :

  u_T  :
  -4 -1i   -4 +3i   +9 -9i 

  v_T  :
  +6 +3i   -6 -5i   -7 -5i 

  w_T  :
  +3 -9i   +5 +5i   +1 -9i 



    u  x (v+w) == (uxv) + (uxw) 

    u  x (v+w) :
  +75+29i   +17-197i   +22-50i 

 (uxv) + (uxw) :
  +75+29i   +17-197i   +22-50i 


 Press   return to continue
 Press X return to stop