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Mathc complexes/a335

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X Value Decomposition

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c00b.c
/* ------------------------------------ */
/*  Save as :   c00b.c                  */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define RCA             RC3
#define FACTOR_E        +1.E-0   
/* ------------------------------------ */
/* ------------------------------------ */
double **X_cos2A_mZ(
double **M_Value,
double **cos2A_Value
)
{
int  r;
int  c;

nb_Z cos2A;

  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)
          {
           cos2A = cos_Z(i_Z(2.*M_Value[r][c],2.*M_Value[r][c+C1]));
           
           cos2A_Value[r][c   ] = cos2A.r;
           cos2A_Value[r][c+C1] = cos2A.i;
          }
              
 return(cos2A_Value);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_TwocosA_2mns1_mZ(
double **M_Value,
double **TwocosA_2mns1_Value
)
{
int  r;
int  c;

nb_Z cosa;
nb_Z mns1 = {1,0};

nb_Z TwocosA_2mns1;

  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)
          {
                    cosa = cos_Z(i_Z( M_Value[r][c], M_Value[r][c+C1]));
           TwocosA_2mns1 = sub_Z(smul_Z(2., mul_Z(cosa,cosa)),mns1); 
           
           TwocosA_2mns1_Value[r][c   ] = TwocosA_2mns1.r;
           TwocosA_2mns1_Value[r][c+C1] = TwocosA_2mns1.i;
          }
              
 return(TwocosA_2mns1_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 **cos2A         =         i_mZ(c,c);
double **TwocosA_2mns1 =         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(" cos(2*A)      :");
   X_cos2A_mZ(X,cos2A);
   
   mul_mZ(V,cos2A,T1);
   mul_mZ(T1,U_T,cos2A); 
   pE_mZ(cos2A, S12,P4, S8,P4, C3);

   printf(" 2 cosA**2 - 1 :");
   X_TwocosA_2mns1_mZ(X,TwocosA_2mns1);
   
   mul_mZ(V,TwocosA_2mns1,T1);
   mul_mZ(T1,U_T,TwocosA_2mns1); 
   pE_mZ(TwocosA_2mns1, 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(cos2A);
   f_mZ(TwocosA_2mns1);     
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
    fun();
    
} while(stop_w());

  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */


Exemple de sortie écran :
 A :
  -0.0912 +0.0008i   +0.0996 +0.0048i   -0.0803 +0.0598i 
  +0.0712 -0.0344i   -0.0132 -0.0850i   -0.0474 -0.0765i 
  +0.0572 -0.0606i   +0.0784 +0.0034i   -0.0217 +0.0016i 

 U :
  +0.0389 -0.8078i   +0.3893 -0.0044i   -0.3382 +0.2829i 
  +0.2729 +0.4535i   +0.3358 -0.5936i   -0.3745 +0.3384i 
  +0.2566 +0.0000i   +0.6191 +0.0000i   +0.7422 +0.0000i 

 V :
  +0.2819 -0.6269i   -0.0959 -0.2867i   -0.2121 +0.6254i 
  -0.0710 +0.3477i   -0.2218 -0.8987i   +0.1290 -0.0217i 
  +0.6337 +0.0000i   +0.2273 -0.0000i   +0.7394 +0.0000i 

 X = U_T * A * V :
  -0.1651 -0.0971i   +0.0000 +0.0000i   +0.0000 -0.0000i 
  -0.0000 +0.0000i   -0.0680 -0.1315i   -0.0000 -0.0000i 
  -0.0000 -0.0000i   -0.0000 -0.0000i   +0.0268 +0.0654i 

 Press return to continue. 


 cos(2*A)      :
 +7.1989e-01-1.0476e-01i  +2.0906e-01-6.0268e-01i  -1.6300e-01+1.2913e-01i 
 -4.2368e-01-4.0998e-01i  +5.3998e-01-3.8267e-01i  -7.6474e-02-4.9525e-01i 
 -1.0637e-01+2.8071e-01i  -4.9008e-02-4.0239e-01i  +8.5373e-01-1.9242e-02i 

 2 cosA**2 - 1 :
 +7.1989e-01-1.0476e-01i  +2.0906e-01-6.0268e-01i  -1.6300e-01+1.2913e-01i 
 -4.2368e-01-4.0998e-01i  +5.3998e-01-3.8267e-01i  -7.6474e-02-4.9525e-01i 
 -1.0637e-01+2.8071e-01i  -4.9008e-02-4.0239e-01i  +8.5373e-01-1.9242e-02i 


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