Linear Algebra and the C Language/a0do

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r,int c)
{
double **B    =         r_mR(     i_mR(c,r),9.);
double **B_T  = transpose_mR(B,   i_mR(r,c));

double **U    =  svd_U_Rn_mR(B_T, i_mR(c,r)); 
double **U_T  = transpose_mR( U,  i_mR(r,c)); 
double **U_TB =                   i_mR(r,r);  
double **V    =  svd_V_Rn_mR(B_T, i_mR(r,r)); 

double **S    =      svds_mR(B,   i_mR(r,C1));    /*  SD = U_T  B  V  */
double **SD   =                   i_mR(r,r);      /*       rc   cr rr */

/*  S = U_T B  V    */
   mul_mR(U_T,B,U_TB);
   mul_mR(U_TB,V,SD);
        
  clrscrn();  
  printf(" Copy/Paste into the octave windows \n\n\n");
  p_Octave_mR(B,"B",P2);
  printf(" [U, S, V] =svd (B,10)\n\n\n");
  stop();

  clrscrn(); 
  printf(" U :");
  p_mR(U,S5,P5,C10);   
    
  printf(" S :");
  p_mR(S,S5,P5,C10);
   
  printf(" V:");
  p_mR(V,S5,P5,C10); 
  stop();

  clrscrn();   
  printf(" S : svds_mR();");
  p_mR(S,S5,P5,C10);
  
  printf(" S = U_T B  V : Sign Problems");
  p_mR(SD,S10,P5,C10);  
    
  f_mR(B);
  f_mR(B_T);
  f_mR(U);
  f_mR(U_T);
  f_mR(U_TB);
  f_mR(V); 
  f_mR(S);    
  f_mR(SD);  
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

int i;

do
{
  i = rp_I(R3)+R1;
  
  fun(i,i+R2);

} while(stop_w());

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

                                                                                       
 Copy/Paste into the octave windows 


 B=[
-1.00,+4.00,-6.00,-5.00;
+9.00,+2.00,+2.00,-9.00;
-6.00,+5.00,+5.00,+4.00;
-7.00,-7.00,+9.00,+5.00;
+3.00,-9.00,-1.00,-5.00;
-2.00,+7.00,+1.00,-3.00]

 [U, S, V] =svd (B,10)


 Press return to continue. 


 U :
-0.30749 -0.28090 -0.32773 +0.65796 
-0.54490 +0.12797 +0.76763 -0.06523 
+0.37558 -0.41620 +0.30157 +0.10485 
+0.65295 +0.33788 +0.33575 +0.38298 
-0.18398 +0.64679 -0.06205 +0.46550 
-0.08530 -0.44610 +0.30955 +0.43415 

 S :
+19.55504 
+15.11631 
+9.44603 
+5.73324 

 V:
-0.60353 -0.29089 +0.24047 +0.70236 
-0.20219 +0.94319 +0.22308 +0.14052 
+0.44021 -0.11963 +0.88956 +0.02416 
+0.63331 +0.10706 -0.31795 +0.69740 

 Press return to continue. 


 S : svds_mR();
+19.55504 
+15.11631 
+9.44603 
+5.73324 

 S = U_T B  V : Sign Problems
 +19.55504   -0.00000   -0.00000   +0.00000 
  -0.00000  -15.11631   +0.00000   +0.00000 
  -0.00000   -0.00000   +9.44603   -0.00000 
  -0.00000   +0.00000   -0.00000   -5.73324 


 Press   return to continue
 Press X return to stop