Linear Algebra and the C Language/a0a2
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00a.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.);
clrscrn();
printf(" <u,v> = ||u|| ||v|| cos(a) = u1 v1 + u2 v2 + u3 v3 \n");
printf(" u :");
p_mR(u,S3,P0,C6);
printf(" v :");
p_mR(v,S3,P0,C6);
printf(" <u,v> = v^t u \t <v,u> = u^t v\n");
printf(" <u,v> = %+.0f \t <v,u> = %+.0f\n\n\n",
dot_R(u,v), dot_R(v,u));
printf(
" if <u,v> = 0 : u and v are orthogonal\n"
" if <u,v> > 0 : u and v form the shape of an acute angle (< )\n"
" if <u,v> < 0 : u and v form the shape of an obtuse angle (\\_)\n\n"
);
f_mR(u);
f_mR(v);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(R3);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
<u,v> = ||u|| ||v|| cos(a) = u1 v1 + u2 v2 + u3 v3
u :
+6
-8
+9
v :
-8
+3
-5
<u,v> = v^t u <v,u> = u^t v
<u,v> = -117 <v,u> = -117
if <u,v> = 0 : u and v are orthogonal
if <u,v> > 0 : u and v form the shape of an acute angle (< )
if <u,v> < 0 : u and v form the shape of an obtuse angle (\_)
Press return to continue
Press X return to stop