Mathc complexes/05v
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c00b.c |
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/* ------------------------------------ */
/* Xave as : c00b.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R8
#define CA C6
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*(CA+Cb)]={
// I1 I2 I3 I4 I5 I6
+1, -1, -1, +0, +0, +0,
+0, +0, +1, -1, -1, +0,
+0, +1, +0, +0, +1, -1,
-1, +0, +0, +1, +0, +1,
+0, -50, +0, +0, +0, -20,
+0, +50, -20, +0, -10, +0,
+0, +0, +0, -50, +10, +20,
+0, +0, -20, -50, +0, +0,
};
double tb[RA*(CA+Cb)]={
0,
0,
0,
0,
-90,
0,
0,
-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, S8,P2, C6);
printf(" b :");
p_mRZ(b, S8,P2, C6);
stop();
clrscrn();
printf(" U :");
X_U_mZ(A_T,U,FACTOR_E);
p_mRZ(U, S8,P4, C6);
printf(" V :");
X_V_mZ(A_T,V,FACTOR_E);
p_mRZ(V, S8,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, S8,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,P3, C5);
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, S10,P3, C5);
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, S10,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 -1.00 +0.00 +0.00 +0.00
+0.00 +0.00 +1.00 -1.00 -1.00 +0.00
+0.00 +1.00 +0.00 +0.00 +1.00 -1.00
-1.00 +0.00 +0.00 +1.00 +0.00 +1.00
+0.00 -50.00 +0.00 +0.00 +0.00 -20.00
+0.00 +50.00 -20.00 +0.00 -10.00 +0.00
+0.00 +0.00 +0.00 -50.00 +10.00 +20.00
+0.00 +0.00 -20.00 -50.00 +0.00 +0.00
b :
+0.00
+0.00
+0.00
+0.00
-90.00
+0.00
+0.00
-90.00
Press return to continue.
U :
-0.0052 +0.0097 +0.0236 +0.5000 -0.1924 -0.6800
+0.0052 +0.0079 -0.0101 -0.5000 +0.6802 -0.1927
+0.0052 -0.0079 +0.0101 -0.5000 -0.6802 +0.1927
-0.0052 -0.0097 -0.0236 +0.5000 +0.1924 +0.6800
-0.5000 +0.4879 +0.5112 -0.0052 +0.0083 +0.0224
+0.5000 -0.5116 +0.4878 +0.0052 +0.0147 +0.0055
+0.5000 +0.5116 -0.4878 +0.0052 -0.0147 -0.0055
+0.5000 +0.4879 +0.5112 +0.0052 +0.0083 +0.0224
V :
+0.0000 +0.0003 -0.0016 +0.0000 -0.2124 +0.9772
+0.6566 -0.6998 +0.0395 -0.2624 -0.0913 -0.0196
-0.2624 +0.0066 +0.6676 -0.6566 +0.2274 +0.0505
-0.6566 -0.6998 +0.0395 +0.2624 -0.0913 -0.0196
+0.0000 +0.1430 +0.3248 +0.0000 -0.9137 -0.1981
+0.2624 +0.0066 +0.6676 +0.6566 +0.2274 +0.0505
Press return to continue.
U_TAV :
+76.1618 +0.0000 -0.0000 +0.0000 -0.0000 -0.0000
+0.0000 +71.4421 +0.0000 +0.0000 +0.0000 -0.0000
-0.0000 -0.0000 -29.9801 -0.0000 -0.0000 +0.0000
-0.0000 -0.0000 +0.0000 +1.8382 +0.0000 +0.0000
-0.0000 -0.0000 -0.0000 +0.0000 +1.8116 +0.0000
+0.0000 -0.0000 -0.0000 +0.0000 -0.0000 -1.3917
inv(U_TAV) :
+1.313e-02 +0.000e+00 +0.000e+00 +0.000e+00 +0.000e+00
+0.000e+00 +1.400e-02 +0.000e+00 +0.000e+00 +0.000e+00
+0.000e+00 +0.000e+00 -3.336e-02 +0.000e+00 +0.000e+00
+0.000e+00 +0.000e+00 +0.000e+00 +5.440e-01 +0.000e+00
+0.000e+00 +0.000e+00 +0.000e+00 +0.000e+00 +5.520e-01
+0.000e+00 +0.000e+00 +0.000e+00 +0.000e+00 +0.000e+00
+0.000e+00
+0.000e+00
+0.000e+00
+0.000e+00
+0.000e+00
-7.186e-01
Press return to continue.
Pinv = V * inv(U_TAV) * U_T:
+5.000e-01 +5.556e-02 -5.556e-02 -5.000e-01 -1.667e-02
-7.143e-02 +3.439e-02 +1.085e-01 -7.143e-02 -9.127e-03
-1.786e-01 +2.712e-01 +8.598e-02 -1.786e-01 -7.540e-03
+7.143e-02 -1.085e-01 -3.439e-02 +7.143e-02 -1.984e-03
-8.625e-12 -3.704e-01 +3.704e-01 -7.261e-12 -5.556e-03
+1.786e-01 -8.598e-02 -2.712e-01 +1.786e-01 -1.468e-02
-5.556e-03 +5.556e-03 -1.667e-02
+7.275e-03 -1.323e-04 -1.984e-03
-1.283e-02 +5.688e-03 -1.468e-02
+1.323e-04 -7.275e-03 -9.127e-03
-1.296e-02 +1.296e-02 -5.556e-03
-5.688e-03 +1.283e-02 -7.540e-03
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
+3.0000
+1.0000
+2.0000
+1.0000
+1.0000
+2.0000
Press return to continue.