Mathc complexes/075
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c00d.c |
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/* ------------------------------------ */
/* Xave as : c00d.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RA R4
#define CA C4
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-2
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double ta[RA*CA]={
/* x**3 x**2 x**1 x**0 */
-125, +25, -5, +1,
-8, +4, -2, +1,
+8, +4, +2, +1,
+125, +25, +5, +1,
};
double tb[RA*C1]={
/* y */
-8,
+8,
-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,P3, C6);
printf(" The coefficients a, b, c, of the curve are : \n\n"
" y = %+.3fx**3 %+.3fx \n\n"
,x[R1][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 :
-125.00 +25.00 -5.00 +1.00
-8.00 +4.00 -2.00 +1.00
+8.00 +4.00 +2.00 +1.00
+125.00 +25.00 +5.00 +1.00
b :
-8.00
+8.00
-8.00
+8.00
U :
-0.7056 +0.6981 -0.0455 +0.1127
-0.0455 +0.1127 +0.7056 -0.6981
+0.0455 +0.1127 -0.7056 -0.6981
+0.7056 +0.6981 +0.0455 +0.1127
V :
+0.9992 +0.0000 -0.0408 +0.0000
+0.0000 +0.9990 +0.0000 -0.0452
+0.0408 +0.0000 +0.9992 +0.0000
+0.0000 +0.0452 +0.0000 +0.9990
Press return to continue.
U_TAV :
+177.2862 +0.0000 -0.0000 -0.0000
-0.0000 +35.8417 -0.0000 +0.0000
+0.0000 +0.0000 -2.3691 -0.0000
-0.0000 -0.0000 -0.0000 -1.1718
inv(U_TAV) :
+5.6406e-03 +0.0000e+00 +0.0000e+00 +0.0000e+00
+0.0000e+00 +2.7900e-02 +0.0000e+00 +0.0000e+00
+0.0000e+00 +0.0000e+00 -4.2211e-01 +0.0000e+00
+0.0000e+00 +0.0000e+00 +0.0000e+00 -8.5337e-01
Pinv = V * inv(U_TAV) * U_T:
-4.7619e-03 +1.1905e-02 -1.1905e-02 +4.7619e-03
+2.3810e-02 -2.3810e-02 -2.3810e-02 +2.3810e-02
+1.9048e-02 -2.9762e-01 +2.9762e-01 -1.9048e-02
-9.5238e-02 +5.9524e-01 +5.9524e-01 -9.5238e-02
Press return to continue.
A x = b
Pinv A x = Pinv b
Ide x = Pinv b
x = Pinv b
+0.267
+0.000
-5.067
-0.000
The coefficients a, b, c, of the curve are :
y = +0.267x**3 -5.067x
Press return to continue.