Linear Algebra and the C Language/a0kd


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :   c00b.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
double **X_sort_c_mR(
double **Ab
)
{
double **T = i_RC_mR(Ab[R_SIZE][C0],Ab[C_SIZE][C0]);
int c;

  for(c=C1; c<Ab[C_SIZE][C0]; c++)

      c_c_withR0_mR(Ab, c,             /* Copy the columns of Ab into */ 
                     T, Ab[R0][c]);    /* T in the good order         */
                     
 c_withR0_mR(T,Ab);                    /* Copy T into Ab              */
  
 f_mR(T);
 
 return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_gj_TP_mR(
double **Ab
)
{
       gj1_T_mR(Ab);   
    X_sort_c_mR(Ab);  /* Sort the columns */
  
/*    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_c_mR(Ab);\n\n"
         " The rows are not sorted:\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(rp_I(R2)+R2);


} while(stop_w());

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

Screen output example:

                                                                                       
 Copy/Paste into the octave window.

 Ab=[
+191,+867,-846,-252,-991;
-266,-566,+965,+145,-77;
-305,-132,-701,+743,-321;
+356,+64,+93,-371,+711]


 rref(Ab,.00000000001)

 Press return to continue. 


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

 The rows are not sorted:

 gj_TP_mR(Ab);
   +0.0000    -0.0000    +1.0000    +0.0000    -1.6818 
   +0.0000    -0.0000    +0.0000    +1.0000    -2.4359 
   +0.0000    +1.0000    +0.0000    +0.0000    -3.6127 
   +1.0000    -0.0000    +0.0000    +0.0000    +0.5475 


 Press   return to continue
 Press X return to stop