Linear Algebra and the C Language/a0kg


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :   c00e.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
double **X_sort_r_mR(
double **Ab
)
{
double pivot;
int c;
int r;
int r_pivot = R1;

clrscrn();            
printf(" Ab :   Before the function sort_r_mR(); \n");
p_mR(Ab, S8,P4,C6);
stop();
clrscrn(); 

    for ( c=C1; c<Ab[C_SIZE_A][C0]; c++)
      {
              r = r_pivot;
          pivot = 0.;
          
      while( (pivot<ERROR_E) && r<Ab[R_SIZE][C0] )
         {
          pivot = fabs( Ab[r][c] );
clrscrn();     
printf("/* --------- DEBUG 1 ---------- */\n\n");       
printf(" Ab : pivot[%d][%d] = %f  \n",r,c,pivot);
p_mR(Ab, S8,P4,C8);

          if(pivot>ERROR_E) 
          {
            swapR_mR(Ab, r, r_pivot);
            r_pivot++;
          }
printf(" Ab");
p_mR(Ab, S8,P4,C8);
stop();
clrscrn();                            
/* --------- DEBUG 1 ---------- */

          r++;
         }
       }
       
 return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_gj_TP_mR(
double **Ab
)
{
     gj1_T_mR(Ab);  
    sort_c_mR(Ab);
    
  X_sort_r_mR(Ab);
  
return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r)
{
double **A  = r_mR(                      i_mR(r,r ),999.);
double **b  = r_mR(                      i_mR(r,C1),999.);

double **Ab = c_A_b_Ab_mR(A,b, i_Abr_Ac_bc_mR(r,   r,  C1)); 
/*                             i_Abr_Ac_bc_mR(RAb, CA, Cb));          */
  
  clrscrn();
  X_gj_TP_mR(Ab);
  printf("Ab :  After the function: sort_r_mR();\n\n"
         " gj_TP_mR(Ab);");
  p_mR(Ab, S10,P4,C7);
  
  f_mR(Ab);
  f_mR(b);
  f_mR(A);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));
do
{
  fun(R5);


} while(stop_w());

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

Screen output example:

                                                                                       
 Ab :   Before the function sort_r_mR(); 

 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Press return to continue. 

/* --------- DEBUG 1 ---------- */

 Ab : pivot[1][1] = 0.000000  

 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Ab
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[2][1] = 0.000000  

 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Ab
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[3][1] = 0.000000  

 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Ab
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[4][1] = 0.000000  

 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Ab
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Press return to continue. 


/* --------- DEBUG 1 ---------- */

 Ab : pivot[5][1] = 1.000000  

 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 

 Ab
 +1.0000  +0.0000  +0.0000  +0.0000  +0.0000 -10.7817 
 +0.0000  +0.0000  +1.0000  +0.0000  +0.0000  +4.8739 
 +0.0000  +0.0000  +0.0000  +0.0000  +1.0000  -1.5244 
 +0.0000  -0.0000  -0.0000  +1.0000  -0.0000  -0.5550 
 +0.0000  +1.0000  +0.0000  +0.0000  +0.0000  +4.5128 

 Press return to continue. 

 .... .... .... 
 
 
Ab :  After the function: sort_r_mR();

 gj_TP_mR(Ab);
   +1.0000    +0.0000    +0.0000    +0.0000    +0.0000   -10.7817 
   +0.0000    +1.0000    +0.0000    +0.0000    +0.0000    +4.5128 
   +0.0000    +0.0000    +1.0000    +0.0000    +0.0000    +4.8739 
   +0.0000    -0.0000    -0.0000    +1.0000    -0.0000    -0.5550 
   +0.0000    +0.0000    +0.0000    +0.0000    +1.0000    -1.5244 


 Press   return to continue
 Press X return to stop