Linear Algebra and the C Language/a0kf


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :   c00d.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
double **X_sort_r_mR(
double **Ab
)
{
double pivot;
int c;
int r;
int r_pivot = R1;


    for ( c=C1; c<Ab[C_SIZE_A][C0]; c++)        /* From the first row */
      {                                         /* to the last        */
              r = r_pivot;
          pivot = 0.;
          
      while( (pivot<ERROR_E) && r<Ab[R_SIZE][C0] )  
         {
          pivot = fabs( Ab[r][c] );

          if(pivot>ERROR_E)               /* If the pivot is not zero */
           {                              /* swap the row             */
              swapR_mR(Ab, r, r_pivot);
              r_pivot++;
            }           
          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();
  printf(" Copy/Paste into the octave window.\n\n");
  p_Octave_mR(Ab,"Ab",P0);
  printf("\n rref(Ab,.00000000001)\n\n");
  stop();

  clrscrn();
  X_gj_TP_mR(Ab);
  printf(" See above for the function code: sort_r_mR(Ab);\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(RC5);


} while(stop_w());

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

Screen output example:

                                                                                       
 Copy/Paste into the octave window.

 Ab=[
+18,-454,-82,-723,-727,+810;
-329,-466,+990,-443,-449,-915;
+860,+841,-459,+102,-176,-480;
+538,+457,+572,+621,-780,-358;
-268,-76,+79,+249,+484,+660]


 rref(Ab,.00000000001)

 Press return to continue. 

 See above for the function code: sort_r_mR(Ab);

 gj_TP_mR(Ab);
   +1.0000    +0.0000    +0.0000    +0.0000    +0.0000   +19.0384 
   +0.0000    +1.0000    +0.0000    +0.0000    +0.0000   -18.1261 
   +0.0000    +0.0000    +1.0000    +0.0000    +0.0000    +1.6174 
   +0.0000    +0.0000    +0.0000    +1.0000    +0.0000    +3.5393 
   +0.0000    +0.0000    +0.0000    +0.0000    +1.0000    +6.9744 


 Press   return to continue
 Press X return to stop