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void fun(void)
double **U_T = r_mR(i_mR(R1, C3), 9);
double **V_T = r_mR(i_mR(R1, C3), 9);
double **U = transpose_mR(U_T, i_mR(R3, C1));
double **V = transpose_mR(V_T, i_mR(R3, C1));
double **UxV_T = i_mR(R1, C3);
double **UxV = i_mR(R3, C1) ;
double **A = rp_mR(i_mR(R3, C3), 1);
c_r_mR(U_T, R1, A, R2);
c_r_mR(V_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), UxV_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), UxV_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), UxV_T, R1, C3);
transpose_mR(UxV_T, UxV);
clrscrn();
printf(" u_t :");
p_mR(U_T, S4, P0, C6);
printf(" v_t :");
p_mR(V_T, S4, P0, C6);
printf(" uxv_t :");
p_mR(UxV_T, S4, P0, C6);
printf("\n"
" ||u x v||**2 == ||u||**2 ||v||**2 - (u.v)**2 \n\n"
" ||u x v||**2 == %+.4f \n"
" ||u||**2 ||v||**2 - (u.v)**2 == %+.4f \n\n",
pow( norm_uv_R(UxV), 2.),
pow( norm_uv_R(U ), 2.)
* pow( norm_uv_R(V ), 2.)
- pow( dot_uv_R(U, V), 2.)
f_mR(U_T);
f_mR(V_T);
f_mR(UxV_T);
f_mR(U);
f_mR(V);
f_mR(UxV);
f_mR(A);
/* ------------------------------------ */
int main(void)
time_t t;
srand(time(&t));
do
fun();
} while(stop_w());
return 0;
/* ------------------------------------ */
Les vecteurs en mathématiques sont supposés être des vecteurs colonnes, c'est pour cela que j'utilise _T pour afficher des vecteurs lignes.
Exemple de sortie écran :
u_t :
-8 -7 +6
v_t :
+8 -1 -4
uxv_t :
+34 +16 +64
||u x v||**2 == ||u||**2 ||v||**2 - (u.v)**2
||u x v||**2 == +5508.0000
||u||**2 ||v||**2 - (u.v)**2 == +5508.0000
Press return to continue
Press X return to stop
Mathc matrices/a241
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c00a.c */
void fun(void)
double u_T[R1*C3] = { 4, 2, 5};
double v_T[R1*C3] = { 3, 4, 1};
double **U_T = ca_A_mR(u_T , i_mR(R1, C3));
double **V_T = ca_A_mR(v_T , i_mR(R1, C3));
double **U = transpose_mR(U_T, i_mR(R3, C1));
double **V = transpose_mR(V_T, i_mR(R3, C1));
double **UxV_T = i_mR(R1, C3);
double **UxV = i_mR(R3, C1) ;
double **A = rp_mR(i_mR(R3, C3), 1);
c_r_mR(U_T, R1, A, R2);
c_r_mR(V_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), UxV_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), UxV_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), UxV_T, R1, C3);
transpose_mR(UxV_T, UxV);
clrscrn();
printf(" u_t :");
p_mR(U_T, S4, P0, C6);
printf(" v_t :");
p_mR(V_T, S4, P0, C6);
printf(" uxv_t :");
p_mR(UxV_T, S4, P0, C6);
printf("\n"
" ||u x v||**2 == ||u||**2 ||v||**2 - (u.v)**2 \n\n"
" ||u x v||**2 == %+.4f \n"
" ||u||**2 ||v||**2 - (u.v)**2 == %+.4f \n\n\n",
pow( norm_uv_R(UxV), 2.),
pow( norm_uv_R(U ), 2.)
* pow( norm_uv_R(V ), 2.)
- pow( dot_uv_R(U, V), 2.)
stop();