Mathc complexes/061
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c00c.c |
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/* ------------------------------------ */
/* Save as : c00c.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R5
#define CA C4
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*(CA+Cb)]={
// x2 x4 x6 x7
-1, +0, +0, +0,
+1, +1, +0, +0,
+0, +0, +1, -1,
+0, +0, +0, +1,
+0, -1, -1, +0,
};
double tb[RA*(CA+Cb)]={
(+20-50),
(+60),
(-60),
(+90-20),
(+50-90)
};
double **A = ca_A_mRZ(ta,i_mZ(RA,CA));
double **A_T = ctranspose_mZ(A, i_mZ(CA,RA));
double **b = ca_A_mRZ(tb, i_mZ(RA,C1));
double **x = i_mZ(CA,C1);
double **V = i_mZ(CA,CA);
double **V_T = i_mZ(CA,CA);
double **U = i_mZ(RA,CA);
double **U_T = i_mZ(CA,RA);
double **U_TA = i_mZ(CA,CA); // CA,RA RA,CA :CA,CA
double **U_TAV = i_mZ(CA,CA); // CA,CA CA,CA :CA,CA
double **invU_TAV = i_mZ(CA,CA); // :CA,CA
double **V_invU_TAV = i_mZ(CA,CA); // CA,CA CA,CA :CA,CA
double **Pinv = i_mZ(CA,RA);
// Pinv = V_invU_TAV * U_T // CA,CA CA,RA :CA,RA
clrscrn();
printf(" A :");
p_mRZ(A, S10,P2, C6);
printf(" b :");
p_mRZ(b, S10,P2, C6);
stop();
clrscrn();
printf(" U :");
X_U_mZ(A_T,U,FACTOR_E);
p_mRZ(U, S10,P4, C6);
printf(" V :");
X_V_mZ(A_T,V,FACTOR_E);
p_mRZ(V, S10,P4, C6);
ctranspose_mZ(U,U_T);
ctranspose_mZ(V,V_T);
stop();
clrscrn();
printf(" U_TAV :");
mul_mZ(U_T, A, U_TA); // U_TA CA,RA RA,CA :CA,CA
mul_mZ(U_TA, V, U_TAV ); // V :CA,CA
p_mRZ(U_TAV, S11,P4, C6); // U_TAV CA,CA CA,CA :CA,CA
printf(" inv(U_TAV) :");
X_inv_mZ(U_TAV, invU_TAV);
pE_mRZ(invU_TAV, S10,P4, C6);
stop();
clrscrn();
printf(" Pinv = V * inv(U_TAV) * U_T:");
mul_mZ(V, invU_TAV, V_invU_TAV);
mul_mZ(V_invU_TAV, U_T, Pinv);
pE_mRZ(Pinv, S13,P4, C6);
stop();
clrscrn();
printf(" A x = b \n"
" Pinv A x = Pinv b \n"
" Ide x = Pinv b \n\n"
" x = Pinv b ");
mul_mZ(Pinv, b, x);
p_mRZ(x, S12,P4, C6);
stop();
f_mZ(A);
f_mZ(A_T);
f_mZ(b);
f_mZ(x);
f_mZ(V);
f_mZ(V_T);
f_mZ(U);
f_mZ(U_T);
f_mZ(U_TA);
f_mZ(invU_TAV);
f_mZ(V_invU_TAV);
f_mZ(Pinv);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
.png)
Exemple de sortie écran :
A :
-1.00 +0.00 +0.00 +0.00
+1.00 +1.00 +0.00 +0.00
+0.00 +0.00 +1.00 -1.00
+0.00 +0.00 +0.00 +1.00
+0.00 -1.00 -1.00 +0.00
b :
-30.00
+60.00
-60.00
+70.00
-40.00
Press return to continue.
U :
+0.1954 -0.3717 -0.5117 -0.6015
-0.5117 +0.6015 +0.1954 -0.3717
-0.5117 -0.6015 +0.1954 +0.3717
+0.1954 +0.3717 -0.5117 +0.6015
+0.6325 +0.0000 +0.6325 -0.0000
V :
-0.3717 +0.6015 -0.6015 +0.3717
-0.6015 +0.3717 +0.3717 -0.6015
-0.6015 -0.3717 +0.3717 +0.6015
+0.3717 +0.6015 +0.6015 +0.3717
Press return to continue.
U_TAV :
+1.9021 -0.0000 -0.0000 -0.0000
+0.0000 +1.6180 -0.0000 -0.0000
+0.0000 -0.0000 -1.1756 -0.0000
-0.0000 +0.0000 +0.0000 +0.6180
inv(U_TAV) :
+5.2573e-01 +0.0000e+00 +0.0000e+00 +0.0000e+00
+0.0000e+00 +6.1803e-01 +0.0000e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 -8.5065e-01 +0.0000e+00
+0.0000e+00 +0.0000e+00 +0.0000e+00 +1.6180e+00
Press return to continue.
Pinv = V * inv(U_TAV) * U_T:
-8.0000e-01 +2.0000e-01 +2.0000e-01 +2.0000e-01 +2.0000e-01
+6.0000e-01 +6.0000e-01 -4.0000e-01 -4.0000e-01 -4.0000e-01
-4.0000e-01 -4.0000e-01 +6.0000e-01 +6.0000e-01 -4.0000e-01
-2.0000e-01 -2.0000e-01 -2.0000e-01 +8.0000e-01 -2.0000e-01
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
+30.0000
+30.0000
+10.0000
+70.0000
Press return to continue.