Mathc complexes/a339
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c00b.c |
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/* ------------------------------------ */
/* Save as : c00b.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RCA RC3
#define FACTOR_E +1.E-0
/* ------------------------------------ */
/* ------------------------------------ */
double **X_cosh2A_mZ(
double **M_Value,
double **cosh2A_Value
)
{
int r;
int c;
nb_Z cosh2A;
for ( r=R1; r<M_Value[R_SIZE][C0]; r++)
for ( c=C1; c<M_Value[C_SIZE][C0]; c+=C2)
if(((r-R1)*C2)==c-C1)
{
cosh2A = cosh_Z(i_Z(2.*M_Value[r][c],2.*M_Value[r][c+C1]));
cosh2A_Value[r][c ] = cosh2A.r;
cosh2A_Value[r][c+C1] = cosh2A.i;
}
return(cosh2A_Value);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_TwocoshAP2mns1_mZ(
double **M_Value,
double **TwocoshAP2mns1_Value
)
{
int r;
int c;
nb_Z cosha;
nb_Z mns1 = {1,0};
nb_Z TwocoshAP2mns1;
for ( r=R1; r<M_Value[R_SIZE][C0]; r++)
for ( c=C1; c<M_Value[C_SIZE][C0]; c+=C2)
if(((r-R1)*C2)==c-C1)
{
cosha = cosh_Z(i_Z( M_Value[r][c], M_Value[r][c+C1]));
TwocoshAP2mns1 = sub_Z(smul_Z(2., mul_Z(cosha,cosha)),mns1);
TwocoshAP2mns1_Value[r][c ] = TwocoshAP2mns1.r;
TwocoshAP2mns1_Value[r][c+C1] = TwocoshAP2mns1.i;
}
return(TwocoshAP2mns1_Value);
}
/* ------------------------------------ */
/* ------------------------------------ */
void fun(void)
{
int r = RCA;
int c = RCA;
double **A = rE_mZ(i_mZ(r,c),999,+1.E-4);
double **A_T = ctranspose_mZ(A,i_mZ(c,r));
double **V = i_mZ(r,c);
double **V_T = i_mZ(c,r);
double **U = i_mZ(r,c);
double **U_T = i_mZ(c,r);
double **U_TA = i_mZ(c,c);
double **X = i_mZ(c,c);
double **T1 = i_mZ(c,c);
double **cosh2A = i_mZ(c,c);
double **TwocoshAP2mns1 = i_mZ(c,c);
clrscrn();
printf(" A :");
p_mZ(A, S9,P4, S8,P4, C3);
printf(" U :");
X_U_mZ(A_T,U,FACTOR_E);
p_mZ(U, S9,P4, S8,P4, C3);
printf(" V :");
X_V_mZ(A_T,V,FACTOR_E);
p_mZ(V, S9,P4, S8,P4, C3);
ctranspose_mZ(U,U_T);
ctranspose_mZ(V,V_T);
printf(" X = U_T * A * V :");
mul_mZ(U_T, A, U_TA);
mul_mZ(U_TA, V, X);
p_mZ(X, S9,P4, S8,P4, C3);
stop();
clrscrn();
printf(" cosh(2*A) :");
X_cosh2A_mZ(X,cosh2A);
mul_mZ(V,cosh2A,T1);
mul_mZ(T1,U_T,cosh2A);
pE_mZ(cosh2A, S12,P4, S8,P4, C3);
printf(" 2 coshA**2 - 1 :");
X_TwocoshAP2mns1_mZ(X,TwocoshAP2mns1);
mul_mZ(V,TwocoshAP2mns1,T1);
mul_mZ(T1,U_T,TwocoshAP2mns1);
pE_mZ(TwocoshAP2mns1, S12,P4, S8,P4, C3);
f_mZ(A);
f_mZ(A_T);
f_mZ(V);
f_mZ(V_T);
f_mZ(U);
f_mZ(U_T);
f_mZ(U_TA);
f_mZ(X);
f_mZ(cosh2A);
f_mZ(TwocoshAP2mns1);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Exemple de sortie écran :
A :
-0.0400 -0.8900i +0.7900 -0.3700i -0.9300 +0.6300i
+0.1100 +0.2500i -0.0800 +0.6500i +0.1300 -0.2400i
-0.8300 +0.6500i -0.7600 +0.8500i +0.5700 +0.5600i
U :
-0.5378 -0.3770i +0.6297 +0.2738i -0.1421 +0.2774i
+0.1218 +0.2700i +0.2572 -0.1703i -0.8667 -0.2566i
+0.6934 +0.0000i +0.6583 -0.0000i +0.2928 -0.0000i
V :
-0.2464 +0.5355i +0.1028 +0.2598i +0.1249 -0.7476i
-0.4434 +0.3955i +0.4133 -0.6372i -0.0002 +0.2648i
+0.5473 -0.0000i +0.5874 -0.0000i +0.5962 +0.0000i
X = U_T * A * V :
-0.3057 -1.2812i +0.0000 +0.0000i +0.0000 +0.0000i
+0.0000 +0.0000i +0.0170 +0.6155i +0.0000 +0.0000i
+0.0000 +0.0000i +0.0000 +0.0000i +0.4088 +0.6993i
Press return to continue.
cosh(2*A) :
+1.2922e-01+2.1941e-01i -7.6137e-01+1.6961e-01i +2.6067e-01-3.9022e-01i
+1.4190e-01+2.9955e-01i +1.5268e-01-2.8727e-01i +2.4382e-01-4.9643e-01i
+4.7780e-01-4.6698e-01i -2.2409e-01-2.1923e-01i -2.0939e-01+3.0425e-01i
2 coshA**2 - 1 :
+1.2922e-01+2.1941e-01i -7.6137e-01+1.6961e-01i +2.6067e-01-3.9022e-01i
+1.4190e-01+2.9954e-01i +1.5269e-01-2.8727e-01i +2.4382e-01-4.9643e-01i
+4.7780e-01-4.6697e-01i -2.2409e-01-2.1923e-01i -2.0939e-01+3.0425e-01i
Press return to continue
Press X return to stop