Mathc matrices/c25d
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c02a.c |
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/* ------------------------------------ */
/* Save as : c02a.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
#define RCB RC4
/* ------------------------------------ */
/* ------------------------------------ */
void fun(void)
{
double **B = r_Q_mR( i_mR(RCB,RCB), 9);
double **invB = inv_mR(B,i_mR(RCB,RCB));
double **b[RCB];
double **x = r_mR(i_mR(RCB,C1),9.);
double **x_b = i_mR(RCB,C1) ;
int c;
/* ------------------------------------ */
/* ------------------------------------ */
for(c=C0; c<csize_R(B); c++)
{
b[c] = i_mR(RCB,C1);
c_c_mR(B,(c+C1),b[c],C1); }
/* ------------------------------------ */
/* ------------------------------------ */
clrscrn();
printf(" B is the change of basis matrix for the basis \"B\" \n\n"
" B : orthonormal matrix");
p_mR(B,S10,P4,C7);
printf("invB : invB == B_T");
p_mR(invB,S10,P4,C7);
stop();
/* ------------------------------------ */
/* ------------------------------------ */
clrscrn();
printf(" x :");
p_mR(x,S10,P4,C6);
printf(" Compute x in the B basis :\n\n"
" x_b = invB * x :");
p_mR(mul_mR(invB,x,x_b),S10,P4,C7);
stop();
/* ------------------------------------ */
/* ------------------------------------ */
clrscrn();
printf(" x :");
p_mR(x,S10,P4,C6);
printf(" b[0] b[1] ... b[n]\n");
p_mR(B,S10,P4,C7);
printf(" Compute x in the B basis : \n\n"
" x_b : x_b = <b[i],x>\n");
for(c=C0; c<csize_R(B); c++)
printf("%+10.4f <b[%d],x>\n",dot_R(b[c],x),c);
printf("\n\n");
stop();
/* ------------------------------------ */
/* ------------------------------------ */
clrscrn();
printf(" Compute x in the B basis : \n\n"
" x_b : x_b = invB * x");
p_mR(x_b,S10,P4,C6);
printf(" x_b : x_b = <b[i],x>\n");
for(c=C0; c<csize_R(B); c++)
printf("%+10.4f <b[%d],x>\n",dot_R(b[c],x),c);
printf("\n\n");
/* ------------------------------------ */
/* ------------------------------------ */
for(c=C0; c<csize_R(B); c++)
f_mR(b[c]);
f_mR(x);
f_mR(B);
f_mR(invB);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Présentation de deux algorithmes pour calculer la valeur de x en base b
x_b = invB * x
x_b = <b[i],x>
Exemple de sortie écran :
--------------------------------
B is the change of basis matrix for the basis "B"
B : orthonormal matrix
+0.4815 -0.4999 +0.0651 +0.7169
+0.7223 +0.0673 +0.4906 -0.4828
+0.4815 +0.1882 -0.8482 -0.1151
-0.1204 -0.8427 -0.1889 -0.4896
invB : invB == B_T
+0.4815 +0.7223 +0.4815 -0.1204
-0.4999 +0.0673 +0.1882 -0.8427
+0.0651 +0.4906 -0.8482 -0.1889
+0.7169 -0.4828 -0.1151 -0.4896
Press return to continue.
--------------------------------
x :
+6.0000
+6.0000
-4.0000
+1.0000
Compute x in the B basis :
x_b = invB * x :
+5.1766
-4.1911
+6.5380
+1.3758
Press return to continue.
--------------------------------
x :
+6.0000
+6.0000
-4.0000
+1.0000
b[0] b[1] ... b[n]
+0.4815 -0.4999 +0.0651 +0.7169
+0.7223 +0.0673 +0.4906 -0.4828
+0.4815 +0.1882 -0.8482 -0.1151
-0.1204 -0.8427 -0.1889 -0.4896
Compute x in the B basis :
x_b : x_b = <b[i],x>
+5.1766 <b[0],x>
-4.1911 <b[1],x>
+6.5380 <b[2],x>
+1.3758 <b[3],x>
Press return to continue.
--------------------------------
Compute x in the B basis :
x_b : x_b = invB * x
+5.1766
-4.1911
+6.5380
+1.3758
x_b : x_b = <b[i],x>
+5.1766 <b[0],x>
-4.1911 <b[1],x>
+6.5380 <b[2],x>
+1.3758 <b[3],x>
Press return to continue
Press X to stop