Mathc matrices/c101c
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c05.c |
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/* ------------------------------------ */
/* Save as : c05.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
int main(void)
{
double ab[R4*C7]={
+1, -3, +4, -2, +5, +4, 0,
+2, -6, +9, -1, +8, +2, 0,
+2, -6, +9, -1, +9, +7, 0,
-1, 3, -4, 2, -5, -4, 0,
};
double **Ab = ca_A_mR(ab,i_Abr_Ac_bc_mR(R4,C6,C1));
double **A = c_Ab_A_mR(Ab,i_mR(R4,C6));
double **b = c_Ab_b_mR(Ab,i_mR(R4,C1));
double **Ab_free = i_Abr_Ac_bc_mR(csize_A_R(Ab),csize_A_R(Ab),C1+C3);
int r;
clrscrn();
printf(" A :");
p_mR(A,S6,P1,C10);
printf(" b :");
p_mR(b,S6,P1,C10);
printf(" Ab :");
p_mR(Ab,S6,P1,C10);
stop();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mR(Ab,"Ab",P1);
printf("\n rref(Ab,.00000000001)\n\n");
printf(" Ab : gj_PP_mR(Ab,NO) :");
gj_PP_mR(Ab,NO);
p_mR(Ab,S6,P1,C10);
stop();
clrscrn();
put_zeroR_mR(Ab,Ab_free);
printf(" Ab_free : put_zeroR_mR(Ab,Ab_free);");
p_mR(Ab_free,S6,P1,C10);
stop();
clrscrn();
put_freeV_mR(Ab_free);
printf(" Ab_free : put_freeV_mR(Ab_free);");
p_mR(Ab_free,S6,P1,C10);
stop();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mR(Ab_free,"Ab_free",P1);
printf("\n rref(Ab_free,.00000000001)\n\n");
stop();
clrscrn();
r = rsize_R(Ab_free);
while(r>R1)
zero_below_pivot_gj1Ab_mR(Ab_free,r--);
printf(" Ab_free : zero_below_pivot_gj1Ab_mR(Ab_free,r--);");
p_mR(Ab_free,S6,P1,C10);
stop();
f_mR(Ab);
f_mR(b);
f_mR(A);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
On résout le système et on vérifie avec octave.
Exemple de sortie écran :
------------------------------------
A :
+1.0 -3.0 +4.0 -2.0 +5.0 +4.0
+2.0 -6.0 +9.0 -1.0 +8.0 +2.0
+2.0 -6.0 +9.0 -1.0 +9.0 +7.0
-1.0 +3.0 -4.0 +2.0 -5.0 -4.0
b :
+0.0
+0.0
+0.0
+0.0
Ab :
+1.0 -3.0 +4.0 -2.0 +5.0 +4.0 +0.0
+2.0 -6.0 +9.0 -1.0 +8.0 +2.0 +0.0
+2.0 -6.0 +9.0 -1.0 +9.0 +7.0 +0.0
-1.0 +3.0 -4.0 +2.0 -5.0 -4.0 +0.0
Press return to continue.
...
Copy/Past into the octave window.
Ab_free=[
+1.0,-3.0,+4.5,-0.5,+4.0,+1.0,+0.0,+0.0,+0.0,+0.0;
+0.0,+1.0,+0.0,+0.0,+0.0,+0.0,+0.0,+1.0,+0.0,+0.0;
-0.0,-0.0,+1.0,+3.0,-2.0,-6.0,-0.0,+0.0,+0.0,+0.0;
+0.0,+0.0,+0.0,+1.0,+0.0,+0.0,+0.0,+0.0,+1.0,+0.0;
+0.0,+0.0,+0.0,+0.0,+1.0,+5.0,+0.0,+0.0,+0.0,+0.0;
+0.0,+0.0,+0.0,+0.0,+0.0,+1.0,+0.0,+0.0,+0.0,+1.0]
rref(Ab_free,.00000000001)
Press return to continue.
Ab_free : zero_below_pivot_gj1Ab_mR(Ab_free,r--);
+1.0 +0.0 +0.0 +0.0 +0.0 +0.0 +0.0 +3.0 +14.0 +37.0
+0.0 +1.0 +0.0 +0.0 +0.0 +0.0 +0.0 +1.0 +0.0 +0.0
+0.0 +0.0 +1.0 +0.0 +0.0 +0.0 +0.0 +0.0 -3.0 -4.0
+0.0 +0.0 +0.0 +1.0 +0.0 +0.0 +0.0 +0.0 +1.0 +0.0
+0.0 +0.0 +0.0 +0.0 +1.0 +0.0 +0.0 +0.0 +0.0 -5.0
+0.0 +0.0 +0.0 +0.0 +0.0 +1.0 +0.0 +0.0 +0.0 +1.0
Press return to continue.