Mathc complexes/05z
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c00a.c |
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/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R4
#define CA C3
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*(CA+Cb)]={
// x1 x2 x3
+1, +1, +0,// A
+0, -1, -1,// B
+0, +0, +1,// C
-1, +0, +0 // D
};
double tb[RA*(CA+Cb)]={
(+50), // A
(-40), // B
(+20-10), // C
(-30+10) // D
};
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;
}
/* ------------------------------------ */
/* ------------------------------------ */
Exemple de sortie écran :
A :
+1.00 +1.00 +0.00
+0.00 -1.00 -1.00
+0.00 +0.00 +1.00
-1.00 +0.00 +0.00
b :
+50.00
-40.00
+10.00
-20.00
Press return to continue.
U :
-0.6533 -0.5000 +0.2706
+0.6533 -0.5000 -0.2706
-0.2706 +0.5000 -0.6533
+0.2706 +0.5000 +0.6533
V :
+0.5000 -0.7071 +0.5000
+0.7071 +0.0000 -0.7071
+0.5000 +0.7071 +0.5000
Press return to continue.
U_TAV :
-1.8478 +0.0000 -0.0000
+0.0000 +1.4142 -0.0000
-0.0000 +0.0000 -0.7654
inv(U_TAV) :
-5.4120e-01 +0.0000e+00 +0.0000e+00
+0.0000e+00 +7.0711e-01 +0.0000e+00
+0.0000e+00 +0.0000e+00 -1.3066e+00
Press return to continue.
Pinv = V * inv(U_TAV) * U_T:
+2.5000e-01 +2.5000e-01 +2.5000e-01 -7.5000e-01
+5.0000e-01 -5.0000e-01 -5.0000e-01 +5.0000e-01
-2.5000e-01 -2.5000e-01 +7.5000e-01 -2.5000e-01
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
+20.0000
+30.0000
+10.0000
Press return to continue.