Mathc matrices/c12an4
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cgn0f.c |
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/* ------------------------------------ */
/* Save as : cgn0f.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r,int c)
{
double **B = r_mR(i_mR(c,r),9.);
double **B_T = transpose_mR(B,i_mR(r,c));
double **U_TB = i_mR(r,r); /* rc cr*/
double **U = i_mR(c,r);
double **V = i_mR(r,r);
double **S = i_mR(r,r);
double **S_T = i_mR(r,r);
double **invS_T = i_mR(r,r);
double **U_T = i_mR(r,c);
double **VS_T = i_mR(r,r); /* rr rr */
double **Pinv = i_mR(r,c); /* rr rr rc */
double **PinvB = i_mR(r,r); /* rr rr rc cr */
clrscrn();
printf(" Copy/Past into the octave windows \n\n\n");
p_Octave_mR(B,"B",P2);
printf("pinv(B)\n\n\n");
stop();
clrscrn();
svd_U_Rn_mR(B_T,U);
svd_V_Rn_mR(B_T,V);
/* S = U_T * B * V */
transpose_mR( U,U_T);
mul_mR(U_T,B,U_TB);
mul_mR(U_TB,V,S);
transpose_mR(S,S_T);
inv_svd_mR(S_T,invS_T);
/* Pinv = V * invS_T * U_T */
mul_mR(V,invS_T,VS_T);
mul_mR(VS_T,U_T,Pinv);
printf(" PseudoInverse = V * invS_T * U_T ");
p_mR(Pinv,S10,P6,C10);
printf(" Ide = PseudoInverse * B ");
mul_mR(Pinv,B,PinvB);
p_mR(PinvB,S10,P6,C10);
f_mR(B);
f_mR(B_T);
f_mR(U_TB);
f_mR(U);
f_mR(V);
f_mR(S);
f_mR(S_T);
f_mR(invS_T);
f_mR(U_T);
f_mR(VS_T);
f_mR(Pinv);
f_mR(PinvB);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
int i;
do
{
i = rp_I(R3)+R1;
fun(i,i+R0);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Exemple de sortie écran :
------------------------------------
Copy/Past into the octave windows
B=[
-5.00,+8.00,-1.00,+4.00;
-5.00,-5.00,-9.00,-3.00;
+6.00,-3.00,+6.00,-3.00;
-1.00,-5.00,-7.00,-7.00]
pinv(B)
Press return to continue.
------------------------------------
PseudoInverse = V * invS_T * U_T
-0.418605 -0.569767 -0.612403 +0.267442
+0.034884 -0.244186 -0.143411 +0.186047
+0.302326 +0.383721 +0.534884 -0.220930
-0.267442 -0.127907 -0.344961 -0.093023
Ide = PseudoInverse * B
+1.000000 -0.000000 +0.000000 +0.000000
+0.000000 +1.000000 +0.000000 +0.000000
+0.000000 +0.000000 +1.000000 -0.000000
-0.000000 -0.000000 -0.000000 +1.000000
Press return to continue
Press X to stop