Linear Algebra and the C Language/a0a7

/* ------------------------------------ */
/*  Save as :   c00f.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **u       = r_mR(i_mR(r,C1),9.);
double **v       = r_mR(i_mR(r,C1),9.);
double **projuv  =      i_mR(r,C1);
double **umnsprojuv  =  i_mR(r,C1);

  clrscrn();
  
  printf(" u :");
  p_mR(u,S3,P0,C6);
  printf(" v :");
  p_mR(v,S3,P0,C6);

  proj_mR(u,v,projuv);
  
  printf(" Vector component of u along v \n\n"); 
   
  printf(" projuv :           [ (<u,v> / ||v||^2) * v  ]");
  p_mR(projuv,S3,P3,C6);
  stop();
  
  clrscrn();
  printf(" Vector component of (u-projuv) is orthogonal to v \n\n");
  printf(" u - projuv :");
  sub_mR(u,projuv,umnsprojuv);
  p_mR(umnsprojuv,S3,P3,C6);
  printf(" <v,u-projuv> = %.6f \n\n", dot_R(v,umnsprojuv));

  f_mR(u);
  f_mR(v);
  f_mR(projuv);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun(rp_I(R3)+R2);


} while(stop_w());

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

                                                                                       
 u :
 +8 
 -2 
 +3 
 +1 

 v :
 +2 
 -6 
 -2 
 +1 

 Vector component of u along v 

 projuv :           [ (<u,v> / ||v||^2) * v  ]
+1.022 
-3.067 
-1.022 
+0.511 

 Press return to continue. 


 Vector component of (u-projuv) is orthogonal to v 

 u - projuv :
+6.978 
+1.067 
+4.022 
+0.489 

 <v,u-projuv> = 0.000000 


 Press   return to continue
 Press X return to stop