Linear Algebra and the C Language/a0aa


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :   c00g.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **U             = r_mR(i_mR(r,r),9.);
double **Orth          =      i_mR(r,r);
double **Orth_Normal_T =      i_mR(r,r);

  clrscrn();
  printf(" U :");
  p_mR(U, S8,P4, C6); 

  printf(" Orth : orth_mR(U,Orth,NO);");
  orth_mR(U,Orth,NO);
  p_mR(Orth, S8,P4, C6);  
  stop();

  clrscrn();
  printf(" Orth_Normal : Normalize_mR(Orth);");
  Normalize_mR(Orth);
  p_mR(Orth, S8,P4, C6); 
  
  printf(" Orth_Normal_T : transpose_mR(Orth,Orth_Normal_T);");
  transpose_mR(Orth,Orth_Normal_T);
  p_mR(Orth_Normal_T, S8,P4, C6); 
    
  printf(" Orth_Normal_T Orth_Normal  :");
  mul_mR(Orth_Normal_T,Orth, U);
  p_mR(U, S8,P4, C6);  
    
  f_mR(U);
  f_mR(Orth);
  f_mR(Orth_Normal_T);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun(rp_I(R2)+R2);
} while(stop_w());

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


Screen output example:

                                                                                       
 U :
 -1.0000  +6.0000  -3.0000  -6.0000 
 -6.0000  -9.0000  +8.0000  +6.0000 
 -2.0000  -8.0000  -1.0000  -8.0000 
 -1.0000  +5.0000  -5.0000  -3.0000 

 Orth : orth_mR(U,Orth,NO);
 -1.0000  +7.4048  -0.6799  -3.6063 
 -6.0000  -0.5714  +2.3226  +0.4873 
 -2.0000  -5.1905  -5.0700  -1.2562 
 -1.0000  +6.4048  -3.1155  +3.1948 

 Press return to continue. 


 Orth_Normal : Normalize_mR(Orth);
 -0.1543  +0.6673  -0.1058  -0.7209 
 -0.9258  -0.0515  +0.3615  +0.0974 
 -0.3086  -0.4678  -0.7892  -0.2511 
 -0.1543  +0.5772  -0.4850  +0.6386 

 Orth_Normal_T : transpose_mR(Orth,Orth_Normal_T);
 -0.1543  -0.9258  -0.3086  -0.1543 
 +0.6673  -0.0515  -0.4678  +0.5772 
 -0.1058  +0.3615  -0.7892  -0.4850 
 -0.7209  +0.0974  -0.2511  +0.6386 

 Orth_Normal_T Orth_Normal  :
 +1.0000  +0.0000  +0.0000  -0.0000 
 +0.0000  +1.0000  +0.0000  -0.0000 
 +0.0000  +0.0000  +1.0000  -0.0000 
 -0.0000  -0.0000  -0.0000  +1.0000 


 Press   return to continue
 Press X return to stop