Mathc matrices/07h
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c00c.c |
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/* ------------------------------------ */
/* Xave as : c00c.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R5
#define CA C5
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +.5E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*CA]={
/* x**2 y**2 x y e */
+1, +0, +0, +0, +0,
+0, +1, +0, +0, +0,
+1, +100, +1, +10, +1,
+4, +1, +2, +1, +1,
+9, +100, +3, -10, +1,
};
double tb[RA*C1]={
/* b */
+1,
+1,
+0,
+0,
+0,
};
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**2 %+.2fx %+.2fy %+.2f = 0\n\n"
,x[R1][C1],x[R2][C1],x[R3][C1],x[R4][C1],x[R5][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
+0.00 +1.00 +0.00 +0.00 +0.00
+1.00 +100.00 +1.00 +10.00 +1.00
+4.00 +1.00 +2.00 +1.00 +1.00
+9.00 +100.00 +3.00 -10.00 +1.00
b :
+1.00
+1.00
+0.00
+0.00
+0.00
Press return to continue.
U :
+0.0004 +0.0250 -0.1735 -0.9845 -0.0078
+0.0070 -0.0014 +0.0109 +0.0060 -0.9999
+0.7055 -0.7078 -0.0330 -0.0119 +0.0055
+0.0088 +0.0516 -0.9832 +0.1746 -0.0097
+0.7086 +0.7040 +0.0451 +0.0101 +0.0046
V :
+0.0503 +0.3826 +0.8048 -0.4511 -0.0000
+0.9985 -0.0214 -0.0506 +0.0027 -0.0004
+0.0201 +0.0984 +0.4018 +0.8026 -0.4294
-0.0002 -0.9184 +0.3802 -0.1007 -0.0429
+0.0100 +0.0031 +0.2093 +0.3772 +0.9021
Press return to continue.
U_TAV :
+141.6427 +0.0000 -0.0000 -0.0000 +0.0000
+0.0000 +15.3169 -0.0000 -0.0000 +0.0000
+0.0000 +0.0000 -4.6395 +0.0000 -0.0000
+0.0000 +0.0000 +0.0000 +0.4582 +0.0000
+0.0000 +0.0000 +0.0000 -0.0000 +0.0004
inv(U_TAV) :
+7.0600e-03 +0.0000e+00 +0.0000e+00 +0.0000e+00 +0.0000e+00
+0.0000e+00 +6.5287e-02 +0.0000e+00 +0.0000e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 -2.1554e-01 +0.0000e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 +0.0000e+00 +2.1825e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 +0.0000e+00 +0.0000e+00 +2.3059e+03
Pinv = V * inv(U_TAV) * U_T:
+1.0000e+00 +5.9183e-10 +1.4407e-12 -2.1509e-10 -4.9365e-12
-7.2750e-11 +1.0000e+00 -8.5465e-13 +1.3590e-11 +7.4925e-13
+6.0000e+00 +9.9000e+02 -5.5000e+00 +1.0000e+01 -4.5000e+00
+1.0000e+00 +9.9000e+01 -5.0000e-01 +1.0000e+00 -5.0000e-01
-1.7000e+01 -2.0800e+03 +1.1500e+01 -2.0000e+01 +9.5000e+00
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
+1.0000
+1.0000
+996.0000
+100.0000
-2097.0000
The coefficients a, b, c, d, e, of the curve are :
+1.00x**2 +1.00y**2 +996.00x +100.00y -2097.00 = 0
Press return to continue.