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