Mathc complexes/c05k

Application

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	c01k.c

/* ------------------------------------ */
/*  Save as :   c01k.c                   */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **u       = r_mZ(i_mZ(r,C1),9.);
double **v       = r_mZ(i_mZ(r,C1),9.);
double **projuv  =      i_mZ(r,C1);
double **umnsprojuv  =  i_mZ(r,C1);

  clrscrn();
  printf(" u :");
  p_mZ(u, S8,P0, S6,P0, C6); 
  printf(" v :");
  p_mZ(v, S8,P0, S6,P0, C6); 

  stop();
  clrscrn();
  
  proj_mZ(u,v,projuv);
  
  printf(" vector component of u along v \n\n");  
  printf(" projuv :");
  p_mZ(projuv, S8,P4, S6,P4, C6); 
  
  stop();
  clrscrn();

  printf(" vector component of u orthogonal to v \n\n");
  printf(" u - projuv :");
  sub_mZ(u,projuv,umnsprojuv);
  p_mZ(umnsprojuv, S8,P4, S6,P4, C6); 

  printf(" <v,u - projuv> =");
  p_Z(dot_Z(v,umnsprojuv), S6,P4, S6,P4);
  
  
  f_mZ(u);
  f_mZ(v);
  f_mZ(projuv);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun(rp_I(R3)+R2);


} while(stop_w());

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

Nous vérifions une des propriétés du projeté de u sur v : <v,u - projuv> = -0.000000 



Exemple de sortie écran :

 u :
   +2.00 -3.00i 
   +8.00 +8.00i 
   -9.00 +6.00i 
   -5.00 -9.00i 
   -5.00 +6.00i 

 v :
   -5.00 -5.00i 
   +4.00 +8.00i 
   +6.00 -3.00i 
   +4.00 -1.00i 
   +8.00 -3.00i 

 Press return to continue. 


 vector component of u along v 

 projuv :
   +0.64 +0.87i 
   -0.42 -1.30i 
   -0.97 +0.32i 
   -0.63 +0.06i 
   -1.28 +0.27i 

 Press return to continue. 


 vector component of u orthogonal to v 

 u - projuv :
   +1.36 -3.87i 
   +8.42 +9.30i 
   -8.03 +5.68i 
   -4.37 -9.06i 
   -3.72 +5.73i 
   

 <v,u - projuv> = +0.00 +0.00i 
 Press return to continue
 Press X      to stop