Mathc complexes/00a
Fonctions matricielles dans C. Matrices Non symétriques conjugués
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c00a.c |
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/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define FACTOR_E +1.E-0
#define RCA RC3
/* ------------------------------------ */
/* ------------------------------------ */
double **EigsValue_sin2A_mZ(
double **EigsValue,
double **EigsValue_sin2A
)
{
int r;
int c;
nb_Z sin2A;
for ( r=R1; r<EigsValue[R_SIZE][C0]; r++)
for ( c=C1; c<EigsValue[C_SIZE][C0]; c+=C2)
if(((r-R1)*C2)==c-C1)
{
sin2A = sin_Z(i_Z(2.*EigsValue[r][c],2.*EigsValue[r][c+C1]));
EigsValue_sin2A[r][c ] = sin2A.r;
EigsValue_sin2A[r][c+C1] = sin2A.i;
}
return(EigsValue_sin2A);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **EigsValue_TwocosAsinA_mZ(
double **EigsValue,
double **EigsValue_TwocosAsinA
)
{
int r;
int c;
nb_Z cosa;
nb_Z sina;
nb_Z TwocosAsinA;
for ( r=R1; r<EigsValue[R_SIZE][C0]; r++)
for ( c=C1; c<EigsValue[C_SIZE][C0]; c+=C2)
if(((r-R1)*C2)==c-C1)
{
cosa = cos_Z(i_Z( EigsValue[r][c], EigsValue[r][c+C1]));
sina = sin_Z(i_Z( EigsValue[r][c], EigsValue[r][c+C1]));
TwocosAsinA = smul_Z(2., mul_Z(cosa,sina) );
EigsValue_TwocosAsinA[r][c ] = TwocosAsinA.r;
EigsValue_TwocosAsinA[r][c+C1] = TwocosAsinA.i;
}
return(EigsValue_TwocosAsinA);
}
/* ------------------------------------ */
/* ------------------------------------ */
void fun(void)
{
double **A = rE_mZ(i_mZ(RCA,RCA),999,+1.E-4);
double **V = i_mZ(RCA,RCA);
double **invV = i_mZ(RCA,RCA);
double **T = i_mZ(RCA,RCA);
double **EigsValue = i_mZ(RCA,RCA);
double **EigsValue_sin2A = i_mZ(RCA,RCA);
double **EigsValue_TwocosAsinA = i_mZ(RCA,RCA);
double **sin2A = i_mZ(RCA,RCA);
double **TwocosAsinA = i_mZ(RCA,RCA);
clrscrn();
printf(" A :");
p_mZ(A, S9,P4, S8,P4, C3);
printf(" V :");
eigs_V_mZ(A,V,FACTOR_E);
pE_mZ(V, S12,P4, S12,P4, C3);
printf(" inv(V) ... Some time the matrix is not invertible :");
inv_mZ(V,invV);
pE_mZ(invV, S12,P4, S12,P4, C3);
printf(" EigsValue = invV * A * V");
mul_mZ(invV,A,T);
mul_mZ(T,V,EigsValue);
pE_mZ(clean_eyes_mZ(EigsValue), S12,P4, S12,P4, C3);
stop();
clrscrn();
printf(" sin(2*A) :");
EigsValue_sin2A_mZ(EigsValue,EigsValue_sin2A);
mul_mZ(V,EigsValue_sin2A,T);
mul_mZ(T,invV,sin2A);
pE_mZ(sin2A, S12,P4, S8,P4, C3);
printf(" 2 cos(A)sin(A) :");
EigsValue_TwocosAsinA_mZ(EigsValue,EigsValue_TwocosAsinA);
mul_mZ(V,EigsValue_TwocosAsinA,T);
mul_mZ(T,invV,TwocosAsinA);
pE_mZ(TwocosAsinA, S12,P4, S8,P4, C3);
f_mZ(A);
f_mZ(V);
f_mZ(invV);
f_mZ(T);
f_mZ(EigsValue);
f_mZ(EigsValue_sin2A);
f_mZ(sin2A);
f_mZ(EigsValue_TwocosAsinA);
f_mZ(TwocosAsinA);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Exemple de sortie écran :
A :
+0.0408 +0.0203i -0.0127 +0.0039i +0.0447 -0.0388i
+0.0360 -0.0293i -0.0202 +0.0255i -0.0349 +0.0807i
+0.0318 +0.0755i -0.0161 -0.0050i -0.0040 -0.0864i
V :
+7.8458e-01 -2.5405e-01i -7.4294e-02 +3.6063e-01i +3.0020e-02 -1.5326e-01i
-1.2918e-02 +1.2384e-01i -6.5551e-01 -2.7760e-01i +6.1197e-01 -7.7270e-01i
+5.5172e-01 +1.1485e-17i +5.9805e-01 -4.1308e-17i +6.3525e-02 -3.5264e-18i
inv(V) ... Some time the matrix is not invertible :
+8.3162e-01 +6.8435e-01i -2.0647e-01 -2.9465e-02i +3.0334e-01 -5.4459e-01i
-8.0663e-01 -5.6198e-01i +1.1882e-01 -6.5890e-02i +1.3938e+00 +3.9953e-01i
+3.7130e-01 -6.5289e-01i +6.7456e-01 +8.7622e-01i -1.4909e-02 +9.6851e-01i
EigsValue = invV * A * V
+7.7485e-02 +2.8254e-03i +0.0000e+00 +0.0000e+00i +0.0000e+00 +0.0000e+00i
+0.0000e+00 +0.0000e+00i -3.8152e-02 -6.3650e-02i +0.0000e+00 +0.0000e+00i
+0.0000e+00 +0.0000e+00i +0.0000e+00 +0.0000e+00i -2.2734e-02 +2.0224e-02i
Press return to continue.
sin(2*A) :
+8.0976e-02+4.0490e-02i -2.5309e-02+7.7647e-03i +8.9424e-02-7.7565e-02i
+7.1831e-02-5.8941e-02i -4.0377e-02+5.0973e-02i -6.9379e-02+1.6166e-01i
+6.3612e-02+1.5091e-01i -3.2168e-02-9.9614e-03i -8.5821e-03-1.7273e-01i
2 cos(A)sin(A) :
+8.0976e-02+4.0490e-02i -2.5309e-02+7.7647e-03i +8.9424e-02-7.7565e-02i
+7.1831e-02-5.8941e-02i -4.0377e-02+5.0973e-02i -6.9379e-02+1.6166e-01i
+6.3612e-02+1.5091e-01i -3.2168e-02-9.9614e-03i -8.5821e-03-1.7273e-01i
Press return to continue
Press X return to stop