Linear Algebra and the C Language/a0ay
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00m.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 **umnsv = sub_mR(u, v, i_mR(r,C1) );
clrscrn();
printf(" u :");
p_mR(u,S3,P0,C6);
printf(" v :");
p_mR(v,S3,P0,C6);
printf(" ||u||^2 + ||v||^2 - ||u - v||^2 = %.0f \n\n",
pow(norm_R( u),2.)
+ pow(norm_R( v),2.)
- pow(norm_R(umnsv),2.));
printf(" 2 * <u,v> = %.0f \n\n", 2 * dot_R(u,v) );
f_mR(u);
f_mR(v);
f_mR(umnsv);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(rp_I(R3)+R2);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
u :
+1
-6
-8
v :
+9
-8
+3
||u||^2 + ||v||^2 - ||u - v||^2 = 66
2 * <u,v> = 66
Press return to continue