Mathc complexes/073
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c00b.c |
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/* ------------------------------------ */
/* Xave as : c00b.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R3
#define CA C3
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*CA]={
/* x**0 x**1 x**2 */
+1, +1, +1,
+4, +2, +1,
+9, +3, +1,
};
double tb[RA*C1]={
/* y */
-9,
+8,
-8
};
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);
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, of the curve are : \n\n"
" y = %+.2fx**2 %+.2fx %+.2f\n\n"
,x[R1][C1],x[R2][C1],x[R3][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 +1.00 +1.00
+4.00 +2.00 +1.00
+9.00 +3.00 +1.00
b :
-9.00
+8.00
-8.00
U :
+0.1324 -0.8014 +0.5833
+0.4264 -0.4852 -0.7634
+0.8948 +0.3498 +0.2775
V :
+0.9288 -0.3244 +0.1793
+0.3446 +0.5777 -0.7400
+0.1365 +0.7490 +0.6483
Press return to continue.
U_TAV :
+10.6496 +0.0000 -0.0000
-0.0000 -1.2507 +0.0000
+0.0000 -0.0000 +0.1502
inv(U_TAV) :
+9.3901e-02 +0.0000e+00 +0.0000e+00
+0.0000e+00 -7.9955e-01 +0.0000e+00
+0.0000e+00 +0.0000e+00 +6.6597e+00
Pinv = V * inv(U_TAV) * U_T:
+5.0000e-01 -1.0000e+00 +5.0000e-01
-2.5000e+00 +4.0000e+00 -1.5000e+00
+3.0000e+00 -3.0000e+00 +1.0000e+00
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
-16.5000
+66.5000
-59.0000
The coefficients a, b, c, of the curve are :
y = -16.50x**2 +66.50x -59.00
Press return to continue.