Mathc matrices/07k
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c00b.c |
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/* ------------------------------------ */
/* Xave as : c00b.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R5
#define CA C5
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*CA]={
/* x**2 y**2 x y e */
+1, +0, +0, +0, +0,
+1, +1, +1, +1, +1,
+4, +16, +2, +4, +1,
+9, +81, +3, +9, +1,
+16, +256, +4, +16, +1,
};
double tb[RA*C1]={
/* = 0 */
+1.00,
+0.00,
+0.00,
+0.00,
+0.00,
};
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);
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);
printf(" The coefficients a, b, c, d, e, of the curve are : \n\n"
" %+.2fx**2 %+.2fy = 0\n\n"
,x[R1][C1],x[R4][C1]);
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 +0.00 +0.00 +0.00 +0.00
+1.00 +1.00 +1.00 +1.00 +1.00
+4.00 +16.00 +2.00 +4.00 +1.00
+9.00 +81.00 +3.00 +9.00 +1.00
+16.00 +256.00 +4.00 +16.00 +1.00
b :
+1.00
+0.00
+0.00
+0.00
+0.00
Press return to continue.
U :
+0.0002 -0.0886 -0.4279 +0.8992 +0.0225
+0.0043 -0.2318 +0.7915 +0.3646 -0.4322
+0.0611 -0.6120 +0.2214 +0.0261 +0.7563
+0.3030 -0.7029 -0.3630 -0.2301 -0.4790
+0.9510 +0.2643 +0.0980 +0.0698 +0.1060
V :
+0.0673 +0.6566 -0.4387 +0.6099 -0.0019
+0.9953 -0.0949 +0.0181 +0.0054 -0.0061
+0.0179 +0.3383 +0.5241 +0.0083 -0.7814
+0.0673 +0.6446 -0.0214 -0.7159 +0.2587
+0.0049 +0.1730 +0.7295 +0.3397 +0.5679
Press return to continue.
U_TAV :
+270.2602 +0.0000 +0.0000 -0.0000 +0.0000
-0.0000 -7.4106 -0.0000 +0.0000 -0.0000
+0.0000 +0.0000 +1.0253 -0.0000 +0.0000
+0.0000 +0.0000 -0.0000 +0.6782 +0.0000
-0.0000 -0.0000 +0.0000 -0.0000 -0.0862
inv(U_TAV) :
+3.7001e-03 +0.0000e+00 +0.0000e+00 +0.0000e+00 +0.0000e+00
+0.0000e+00 -1.3494e-01 +0.0000e+00 +0.0000e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 +9.7532e-01 +0.0000e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 +0.0000e+00 +1.4744e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 +0.0000e+00 +0.0000e+00 -1.1606e+01
Pinv = V * inv(U_TAV) * U_T:
+1.0000e+00 -1.3846e-09 -4.8158e-10 +7.0406e-10 -1.8740e-10
-7.1060e-12 -1.6667e-02 +5.0000e-02 -5.0000e-02 +1.6667e-02
-2.0384e-09 -3.5000e+00 +7.0000e+00 -4.5000e+00 +1.0000e+00
-1.0000e+00 +9.1667e-01 -2.2500e+00 +1.7500e+00 -4.1667e-01
+1.6819e-09 +3.6000e+00 -4.8000e+00 +2.8000e+00 -6.0000e-01
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
+1.0000
-0.0000
-0.0000
-1.0000
+0.0000
The coefficients a, b, c, d, e, of the curve are :
+1.00x**2 -1.00y = 0
Press return to continue.