Mathc matrices/a80
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c00d.c |
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/* ------------------------------------ */
/* Save as : c00d.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define RCA RC4
/* ------------------------------------ */
void fun(void)
{
double **A = i_mR(RCA,RCA) ;
double **B = i_mR(RCA,RCA) ;
double **ExpA = i_mR(RCA,RCA);
double **ExpB = i_mR(RCA,RCA);
double **AplsB = i_mR(RCA,RCA);
double **ExpAplsB = i_mR(RCA,RCA);
r_commute2_mR(A,B,9);
add_mR(A,B,AplsB);
clrscrn();
printf(" Copy/Past into the octave window. \n\n");
p_Octave_mR(A, "A", P12);
printf(" expm (A)\n\n");
p_Octave_mR(B, "B", P12);
printf(" expm (B)\n\n");
stop();
clrscrn();
p_Octave_mR(AplsB, "AplsB", P12);
printf(" expm (AplsB)\n\n");
printf(" expm (A)*expm (B)\n");
printf(" expm (B)*expm (A)\n\n");
stop();
clrscrn();
Exp_mR(A, ExpA);
Exp_mR(B, ExpB);
Exp_mR(AplsB, ExpAplsB);
printf(" ExpA :");
p_mR(ExpA,S8,P6,C6);
printf(" ExpB :");
p_mR(ExpB,S8,P6,C6);
stop();
clrscrn();
printf(" ExpAplsB=:");
p_mR( ExpAplsB,S10,P6,C6);
printf(" ExpA * ExpB:");
mul_mR(ExpA,ExpB,A);
p_mR(A,S10,P6,C6);
printf(" ExpB * ExpA:");
mul_mR(ExpB,ExpA,A);
p_mR(A,S10,P6,C6);
f_mR(A);
f_mR(ExpA);
f_mR(B);
f_mR(ExpB);
f_mR(AplsB);
f_mR(ExpAplsB);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
ExpA = Ide + A + (1/2) A**2 + (1/6) A**3 + ... + 1/(n-1)! A**(n-1) Dans cet exemple on vérifie une des propriétés de l'exponentielle e^(a+b) = e^(a) e^(b) = e^(b) e^(a) Exemple de sortie écran :
------------------------------------
Copy/Past into the octave window.
A=[
+0.277,+1.072,+0.512,+0.144;
+0.118,+0.601,-0.109,-0.060;
-0.590,+1.227,+1.458,+0.255;
+0.493,-1.070,-0.549,+0.583]
expm (A)
B=[
-0.787,+1.109,-0.278,-0.510;
+0.337,-0.687,-0.785,-0.624;
-0.709,+1.197,+0.594,+0.669;
+0.318,-1.081,-0.241,-0.560]
expm (B)
Press return to continue.
------------------------------------
AplsB=[
-0.510,+2.181,+0.235,-0.366;
+0.455,-0.086,-0.893,-0.684;
-1.299,+2.424,+2.052,+0.924;
+0.811,-2.152,-0.790,+0.023]
expm (AplsB)
expm (A)*expm (B)
expm (B)*expm (A)
Press return to continue.
------------------------------------
ExpA :
+1.226483 +2.096233 +1.019268 +0.282423
+0.213199 +1.878791 -0.198830 -0.119400
-1.126863 +2.400553 +3.555163 +0.524578
+0.934023 -2.091929 -1.101056 +1.783381
ExpB :
+0.614186 +0.599304 -0.571202 -0.611915
+0.301209 +0.537695 -0.774294 -0.622448
-0.448442 +0.609939 +1.431405 +0.553673
+0.090545 -0.571959 +0.051631 +0.715039
Press return to continue.
------------------------------------
ExpAplsB=:
+0.953182 +2.322329 -0.850100 -1.289015
+0.775205 +1.085006 -1.867286 -1.495372
-1.515822 +2.483828 +3.900897 +1.538817
+0.598793 -2.256653 -0.397727 +1.396136
ExpA * ExpB:
+0.953182 +2.322329 -0.850101 -1.289015
+0.775205 +1.085006 -1.867287 -1.495372
-1.515822 +2.483828 +3.900897 +1.538818
+0.598793 -2.256653 -0.397727 +1.396136
ExpB * ExpA:
+0.953182 +2.322329 -0.850101 -1.289015
+0.775205 +1.085006 -1.867287 -1.495372
-1.515822 +2.483828 +3.900897 +1.538818
+0.598793 -2.256653 -0.397727 +1.396136
Press return to continue
Press X to stop