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Mathc complexes/04z

Un livre de Wikilivres.


Application


Installer et compiler ces fichiers dans votre répertoire de travail.


c00a.c
/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "w_a.h"  
/* ------------------------------------ */
/* ------------------------------------ */
#define   RA     R5
#define   CA     C5
#define   Cb     C1
/* ------------------------------------ */
#define   CB     C2          /* B : a basis for the column space of A */
/* ------------------------------------ */
#define CbFREE   Cb+C4
/* ------------------------------------ */
#define Cx       C3
#define Cy       C4
/* ------------------------------------ */
void fun(void)
{
double ab[RA*((CA+Cb)*C2)] ={
   +5*2,-1*2,  -6*2,+5*2,  -7*2,-6*2,  9*2,+6*2,  +7*2,+8*2,   0,0, 
   +5*3,-1*3,  -6*3,+5*3,  -7*3,-6*3,  9*3,+6*3,  +7*3,+8*3,   0,0, 
   +5*7,-1*7,  -6*7,+5*7,  -7*7,-6*7,  9*7,+6*7,  +7*7,+8*7,   0,0, 
   +5*5,-1*5,  -6*5,+5*5,  -7*5,-6*5,  9*5,+6*5,  +7*5,+8*5,   0,0, 
   +5*6,-1*6,  -6*6,+5*6,  -7*6,-6*6,  9*6,+6*6,  +7*6,+8*6,   0,0, 
};

double **Ab  =   ca_A_mZ(ab, i_Abr_Ac_bc_mZ(RA,CA,Cb));
double **A   = c_Ab_A_mZ(Ab,           i_mZ(RA,CA));
double **b   = c_Ab_b_mZ(Ab,           i_mZ(RA,Cb));

double **AT   = transpose_mZ(A,        i_mZ(CA,RA));

double **B   =                         i_mZ(RA,CB) ;
double **BT  =                         i_mZ(CB,RA) ;
double **BTb =               i_Abr_Ac_bc_mZ(CB,RA,Cb);

double **BTb_New  =           i_Abr_Ac_bc_mZ(RA,RA,CbFREE);
double **b_Free   =                     i_mZ(RA,CbFREE);

double **cx         =                   i_mZ(RA,C1);
double **cy         =                   i_mZ(RA,C1);
double **cxplscy    =                   i_mZ(RA,C1);
double **AT_cxplscy =                   i_mZ(CA,C1);

  clrscrn();
  printf(" Verify if the sum of two columns of b_free\n"
         " is orthogonal to AT :\n\n");
  printf(" A :");
  p_mZ(A, S4,P0, S4,P0, C6);
  printf(" AT :");
  p_mZ(AT, S6,P2, S6,P2, C5); 
  stop();

  gj_PP_mZ(Ab);
  
        c_c_mZ(A,C1,B,C1); 
  transpose_mZ(B,BT);  
          c_mZ(BT,BTb); 
      gj_PP_mZ(BTb);     
    
  put_zeroR_mZ(BTb,BTb_New); 
  put_freeV_mZ(BTb_New);
         gj_mZ(BTb_New);   
     c_Ab_b_mZ(BTb_New,b_Free);

  c_c_mZ(b_Free,Cx,cx,C1);
  c_c_mZ(b_Free,Cy,cy,C1);
  add_mZ(cx,cy,cxplscy);
  mul_mZ(AT,cxplscy,AT_cxplscy);
  
  clrscrn();
  printf(" b_Free :"); 
  p_mZ(b_Free, S6,P2, S6,P2, C5); 
  printf(" C%d + C%d :",Cx,Cy);  
  p_mZ(cxplscy, S8,P2, S8,P2, C4);
  printf(" AT * (C%d+C%d) :",Cx,Cy);   
  p_mZ(AT_cxplscy, S8,P9, S8,P9, C4);
  stop();
        
  f_mZ(Ab);
  f_mZ(A);
  f_mZ(b);
  
  f_mZ(B);
  f_mZ(BT);
  f_mZ(BTb);

  f_mZ(cx);
  f_mZ(cy);
  f_mZ(cxplscy);
  f_mZ(AT_cxplscy);
}
/* ------------------------------------ */
int main(void)
{

  fun();

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


On peut sélectionner les colonnes de travail dans le code ci-dessous.

#define Cx     C3
#define Cy     C4


Exemple de sortie écran :
 Verify if the sum of two columns of b_free
 is orthogonal to AT :

 A :
 +10  -2i  -12 +10i  -14 -12i  +18 +12i  +14 +16i 
 +15  -3i  -18 +15i  -21 -18i  +27 +18i  +21 +24i 
 +35  -7i  -42 +35i  -49 -42i  +63 +42i  +49 +56i 
 +25  -5i  -30 +25i  -35 -30i  +45 +30i  +35 +40i 
 +30  -6i  -36 +30i  -42 -36i  +54 +36i  +42 +48i 

 AT :
+10.00 -2.00i +15.00 -3.00i +35.00 -7.00i +25.00 -5.00i +30.00 -6.00i 
-12.00+10.00i -18.00+15.00i -42.00+35.00i -30.00+25.00i -36.00+30.00i 
-14.00-12.00i -21.00-18.00i -49.00-42.00i -35.00-30.00i -42.00-36.00i 
+18.00+12.00i +27.00+18.00i +63.00+42.00i +45.00+30.00i +54.00+36.00i 
+14.00+16.00i +21.00+24.00i +49.00+56.00i +35.00+40.00i +42.00+48.00i 

 Press return to continue. 


 b_Free :
 +0.00 -0.00i  -1.50 -0.00i  -3.50 -0.00i  -2.50 -0.00i  -3.00 -0.00i 
 +0.00 +0.00i  +1.00 +0.00i  +0.00 +0.00i  +0.00 +0.00i  +0.00 +0.00i 
 +0.00 +0.00i  +0.00 +0.00i  +1.00 +0.00i  +0.00 +0.00i  +0.00 +0.00i 
 +0.00 +0.00i  +0.00 +0.00i  +0.00 +0.00i  +1.00 +0.00i  +0.00 +0.00i 
 +0.00 +0.00i  +0.00 +0.00i  +0.00 +0.00i  +0.00 +0.00i  +1.00 +0.00i 

 C3 + C4 :
   -6.00   -0.00i 
   +0.00   +0.00i 
   +1.00   +0.00i 
   +1.00   +0.00i 
   +0.00   +0.00i 

 AT * (C3+C4) :
-0.000000000+0.000000000i 
+0.000000000-0.000000000i 
+0.000000000+0.000000000i 
-0.000000000-0.000000000i 
-0.000000000-0.000000000i 

 Press return to continue.