Mathc matrices/c11gn

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :  c00a.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RCA        RC5
/* ------------------------------------ */
/* ------------------------------------ */
double f(
double x)
{  
        return(sin(x)*sin(x));
}
char  feq[] =  "sin(x)*sin(x)";
/* ------------------------------------ */
double g(
double x)
{  
        return(cos(x)*cos(x));
}
char  geq[] =  "cos(x)*cos(x)";
/* ------------------------------------ */
/* ------------------------------------ */
void fun(void)
{
double **A             = rsymmetric_mR(i_mR(RCA,RCA),999.);
double **sin_A         =               i_mR(RCA,RCA);
double **cos_A         =               i_mR(RCA,RCA);

double **Ide           =               i_mR(RCA,RCA);

double **EigsVector    =               i_mR(RCA,RCA);
double **T_EigsVector  =               i_mR(RCA,RCA);

double **EigsValue     =               i_mR(RCA,RCA);
double **sin_EigsValue =               i_mR(RCA,RCA);
double **cos_EigsValue =               i_mR(RCA,RCA);

double **T1            =               i_mR(RCA,RCA);
  
  clrscrn();
  printf(" A :");
  p_mR(A,S10,P4,C6); 
  stop();

  clrscrn();
  eigs_V_mR(A,EigsVector); 
  transpose_mR(EigsVector,T_EigsVector);
      
/* EigsValue : T_EigsVector * A * EigsVector */
  mul_mR(T_EigsVector,A,T1);
  mul_mR(T1,EigsVector,EigsValue);     
  
  f_eigs_mR(f,EigsValue,sin_EigsValue);
  f_eigs_mR(g,EigsValue,cos_EigsValue);

//A == EigsVector * EigsValue * T_EigsVector  
  mul_mR(EigsVector,sin_EigsValue,T1);
  mul_mR(T1,T_EigsVector,sin_A); 

  printf(" sin(A)**2");
  p_mR(sin_A,S10,P4,C6); 

//A == EigsVector * EigsValue * T_EigsVector  
  mul_mR(EigsVector,cos_EigsValue,T1);
  mul_mR(T1,T_EigsVector,cos_A);
 
  printf(" cos(A)**2");
  p_mR(cos_A,S10,P4,C6); 
            
  add_mR(sin_A,cos_A,Ide);

  printf(" Ide : cos(A)**2 + sin(A)**2");
  p_mR(Ide,S10,P4,C6);        
   
  f_mR(A);
  f_mR(sin_A);
  f_mR(cos_A);
  
  f_mR(Ide);
    
  f_mR(EigsVector);
  f_mR(T_EigsVector);
  
  f_mR(EigsValue);
  f_mR(cos_EigsValue);    
  f_mR(sin_EigsValue);    
      
  f_mR(T1);
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));

do
{
  fun();

} while(stop_w());

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

                         Ide = cos(A)**2 + sin(A)**2


Exemple de sortie écran :

 ------------------------------------  
 A :
 +143.0000  -684.0000  -726.0000  -534.0000  -425.0000 
 -684.0000  -504.0000  +583.0000  +871.0000  +398.0000 
 -726.0000  +583.0000  -638.0000  +110.0000  -639.0000 
 -534.0000  +871.0000  +110.0000  +947.0000  +584.0000 
 -425.0000  +398.0000  -639.0000  +584.0000  -925.0000 

 Press return to continue. 


 ------------------------------------  
 sin(A)**2
   +0.6908    -0.1188    +0.1102    -0.1057    -0.1737 
   -0.1188    +0.5686    +0.0103    +0.1863    -0.0077 
   +0.1102    +0.0103    +0.6344    +0.1702    -0.0023 
   -0.1057    +0.1863    +0.1702    +0.7645    -0.0295 
   -0.1737    -0.0077    -0.0023    -0.0295    +0.7299 

 cos(A)**2
   +0.3092    +0.1188    -0.1102    +0.1057    +0.1737 
   +0.1188    +0.4314    -0.0103    -0.1863    +0.0077 
   -0.1102    -0.0103    +0.3656    -0.1702    +0.0023 
   +0.1057    -0.1863    -0.1702    +0.2355    +0.0295 
   +0.1737    +0.0077    +0.0023    +0.0295    +0.2701 

 Ide : cos(A)**2 + sin(A)**2
   +1.0000    -0.0000    -0.0000    -0.0000    +0.0000 
   -0.0000    +1.0000    +0.0000    +0.0000    +0.0000 
   -0.0000    +0.0000    +1.0000    +0.0000    +0.0000 
   -0.0000    +0.0000    +0.0000    +1.0000    -0.0000 
   +0.0000    +0.0000    +0.0000    -0.0000    +1.0000 


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