Mathc matrices/e1607
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gj07.c |
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/* ------------------------------------ */
/* Save as : gj07.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
void xx_gj3_T_mR(
double **Ab,
int below
)
{
int r= R1;
int c= C1;
while( (r<Ab[R_SIZE][C0]) &&
(c<Ab[C_SIZE_A][C0]) )
{
printf(" Ab :");
p_mR(Ab,S12,P4,C8);
if(pivotbest_gj3Ab_mR(Ab,r,c)>ERROR_E)
{
printf(" Ab : pivot[%d][[%d]"
" The work of pivotbest_gj3Ab_mR_mR(Ab,r);",r,r);
p_mR(Ab,S12,P4,C8);
zero_under_pivot_gj3Ab_mR(Ab,r,c);
printf(" Ab : pivot[%d][[%d]"
" The work of zero_under_pivot_gj1Ab_mR();",r,r);
p_mR(Ab,S12,P4,C8);
stop();
clrscrn();
}
else r--;
r++;
c++;
}
r = Ab[R_SIZE][C0];
if(below)
while(r>R1)
{
r--;
c=C1;
while(fabs(Ab[r][c])<ERROR_E && c<(Ab[C_SIZE_A][C0]-C1) ) c++;
if(fabs(Ab[r][c])>ERROR_E)
zero_below_pivot_gj3Ab_mR(Ab,r,c);
}
}
/* ------------------------------------ */
double **XX_gj_PP_mR(
double **Ab,
int below
)
{
xx_gj3_T_mR(Ab,below);
return(Ab);
}
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r)
{
double **A = i_mR(r,r);
double **b = i_mR(r,C1);
double **Ab = i_Abr_Ac_bc_mR(r,r,C1);
/* i_Abr_Ac_bc_mR(R_Ab,C_A,C_b)); */
do
{
r_mR(A,999.);
printf(".");
}while(!det_R(A));
r_mR(b,999.);
c_A_b_Ab_mR(A,b,Ab);
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mR(Ab,"Ab",P0);
printf("\n rref(Ab,.00000000001)\n\n");
stop();
clrscrn();
XX_gj_PP_mR(Ab,YES);
printf(" gj_PP_mR(Ab,YES) :");
p_mR(Ab,S10,P4,C7);
f_mR(Ab);
f_mR(b);
f_mR(A);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(R5);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
On peut voir la sélection du meilleur pivot. Ensuite on met des zéros sous le pivot.
Exemple de sortie écran :
------------------------------------
Copy/Past into the octave window.
Ab=[
+982,+8,+504,-31,-533,+476;
-793,-131,+84,-387,-825,-517;
-393,-17,+350,+56,+994,-705;
+604,-821,+894,+724,+524,+890;
+108,-455,-217,-919,-343,-691]
rref(Ab,.00000000001)
Press return to continue.
Ab :
+982.0000 +8.0000 +504.0000 -31.0000 -533.0000 +476.0000
-793.0000 -131.0000 +84.0000 -387.0000 -825.0000 -517.0000
-393.0000 -17.0000 +350.0000 +56.0000 +994.0000 -705.0000
+604.0000 -821.0000 +894.0000 +724.0000 +524.0000 +890.0000
+108.0000 -455.0000 -217.0000 -919.0000 -343.0000 -691.0000
Ab : The work of pivotbest_gj3Ab_mR_mR(Ab,r);
+982.0000 +8.0000 +504.0000 -31.0000 -533.0000 +476.0000
-793.0000 -131.0000 +84.0000 -387.0000 -825.0000 -517.0000
-393.0000 -17.0000 +350.0000 +56.0000 +994.0000 -705.0000
+604.0000 -821.0000 +894.0000 +724.0000 +524.0000 +890.0000
+108.0000 -455.0000 -217.0000 -919.0000 -343.0000 -691.0000
Ab : pivot[1][[1]
The work of zero_under_pivot_gj1Ab_mR();
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 -124.5397 +490.9980 -412.0336 -1255.4165 -132.6130
-0.0000 -13.7984 +551.7026 +43.5937 +780.6914 -514.5031
+0.0000 -825.9206 +584.0041 +743.0672 +851.8330 +597.2261
+0.0000 -455.8798 -272.4297 -915.5906 -284.3809 -743.3503
Press return to continue.
Ab :
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 -124.5397 +490.9980 -412.0336 -1255.4165 -132.6130
-0.0000 -13.7984 +551.7026 +43.5937 +780.6914 -514.5031
+0.0000 -825.9206 +584.0041 +743.0672 +851.8330 +597.2261
+0.0000 -455.8798 -272.4297 -915.5906 -284.3809 -743.3503
Ab : The work of pivotbest_gj3Ab_mR_mR(Ab,r);
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
+0.0000 -825.9206 +584.0041 +743.0672 +851.8330 +597.2261
-0.0000 -13.7984 +551.7026 +43.5937 +780.6914 -514.5031
-0.0000 -124.5397 +490.9980 -412.0336 -1255.4165 -132.6130
+0.0000 -455.8798 -272.4297 -915.5906 -284.3809 -743.3503
Ab : pivot[2][[2]
The work of zero_under_pivot_gj1Ab_mR();
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
-0.0000 +0.0000 +541.9459 +31.1795 +766.4602 -524.4807
-0.0000 +0.0000 +402.9366 -524.0799 -1383.8635 -222.6681
-0.0000 +0.0000 -594.7800 -1325.7383 -754.5635 -1072.9986
Press return to continue.
Ab :
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
-0.0000 +0.0000 +541.9459 +31.1795 +766.4602 -524.4807
-0.0000 +0.0000 +402.9366 -524.0799 -1383.8635 -222.6681
-0.0000 +0.0000 -594.7800 -1325.7383 -754.5635 -1072.9986
Ab : The work of pivotbest_gj3Ab_mR_mR(Ab,r);
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
-0.0000 +0.0000 -594.7800 -1325.7383 -754.5635 -1072.9986
-0.0000 +0.0000 +402.9366 -524.0799 -1383.8635 -222.6681
-0.0000 +0.0000 +541.9459 +31.1795 +766.4602 -524.4807
Ab : pivot[3][[3]
The work of zero_under_pivot_gj1Ab_mR();
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
-0.0000 +0.0000 +0.0000 -1422.2078 -1895.0462 -949.5763
-0.0000 +0.0000 +0.0000 -1176.7939 +78.9243 -1502.1653
Press return to continue.
Ab :
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
-0.0000 +0.0000 +0.0000 -1422.2078 -1895.0462 -949.5763
-0.0000 +0.0000 +0.0000 -1176.7939 +78.9243 -1502.1653
Ab : The work of pivotbest_gj3Ab_mR_mR(Ab,r);
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
-0.0000 +0.0000 +0.0000 -1422.2078 -1895.0462 -949.5763
-0.0000 +0.0000 +0.0000 -1176.7939 +78.9243 -1502.1653
Ab : pivot[4][[4]
The work of zero_under_pivot_gj1Ab_mR();
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
+0.0000 -0.0000 -0.0000 +1.0000 +1.3325 +0.6677
+0.0000 +0.0000 +0.0000 +0.0000 +1646.9644 -716.4463
Press return to continue.
Ab :
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
+0.0000 -0.0000 -0.0000 +1.0000 +1.3325 +0.6677
+0.0000 +0.0000 +0.0000 +0.0000 +1646.9644 -716.4463
Ab : The work of pivotbest_gj3Ab_mR_mR(Ab,r);
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
+0.0000 -0.0000 -0.0000 +1.0000 +1.3325 +0.6677
+0.0000 +0.0000 +0.0000 +0.0000 +1646.9644 -716.4463
Ab : pivot[5][[5]
The work of zero_under_pivot_gj1Ab_mR();
+1.0000 +0.0081 +0.5132 -0.0316 -0.5428 +0.4847
-0.0000 +1.0000 -0.7071 -0.8997 -1.0314 -0.7231
+0.0000 -0.0000 +1.0000 +2.2290 +1.2686 +1.8040
+0.0000 -0.0000 -0.0000 +1.0000 +1.3325 +0.6677
+0.0000 +0.0000 +0.0000 +0.0000 +1.0000 -0.4350
Press return to continue.
gj_PP_mR(Ab,YES) :
+1.00000 +0.00000 +0.00000 +0.00000 +0.00000 +0.50861
-0.00000 +1.00000 +0.00000 +0.00000 +0.00000 -0.34960
-0.00000 +0.00000 +1.00000 +0.00000 +0.00000 -0.42431
+0.00000 -0.00000 -0.00000 +1.00000 +0.00000 +1.24731
+0.00000 +0.00000 +0.00000 +0.00000 +1.00000 -0.43501
Press return to continue
Press X to stop