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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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//####// MAGiC |
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//####// Jean Christophe Cuilliere et Vincent FRANCOIS |
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//####// Departement de Genie Mecanique - UQTR |
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//####//------------------------------------------------------------ |
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//####// MAGIC est un projet de recherche de l equipe ERICCA |
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//####// du departement de genie mecanique de l Universite du Quebec a Trois Rivieres |
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//####// http://www.uqtr.ca/ericca |
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//####// http://www.uqtr.ca/ |
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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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//####// |
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//####// tpl_fonction.h |
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//####// |
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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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//####// COPYRIGHT 2000-2024 |
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//####// jeu 13 jun 2024 11:53:59 EDT |
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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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#ifndef _TPLFONCTION_
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#define _TPLFONCTION_
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#include <math.h>
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template <class A,class B,class C>
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class TPL_FONCTION1
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{
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public:
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TPL_FONCTION1(B& bb,A (*fonc)(B&,C)):f(fonc),b(bb)
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{
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};
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virtual ~TPL_FONCTION1()
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{
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};
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A integrer_gauss_2(C t1,C t2,int nb_pas=32)
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{
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double integrale=0.;
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for (int i=0;i<nb_pas;i++)
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{
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C ti=t1+(t2-t1)*i/nb_pas;
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C tii=t1+(t2-t1)*(i+1)/nb_pas;
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double t=0.7886751345*tii+0.2113248654*ti;
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integrale=integrale+0.5*(tii-ti)*f(b,t);
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t=0.7886751345*ti+0.2113248654*tii;
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integrale=integrale+0.5*(tii-ti)*f(b,t);
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}
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return integrale;
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};
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void integrer_jusqua_gauss_2 (C x1, C dx, C valeur_integrale_cible, C * x2)
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{
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C xi, xii;
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A integrale,integrale_pas_precedent;
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integrale=0;
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xii = x1;
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do
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{
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xi = xii;
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xii = xi+dx;
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integrale_pas_precedent=integrale;
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double x=0.7886751345*xii+0.2113248654*xi;
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integrale=integrale+0.5*dx*f(b,x);
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x=0.7886751345*xi+0.2113248654*xii;
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integrale=integrale+0.5*dx*f(b,x);
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}
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while ( fabs (integrale) < fabs (valeur_integrale_cible) );
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*x2=xi+(xii-xi)*(valeur_integrale_cible-integrale_pas_precedent)/(integrale-integrale_pas_precedent);
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if ( fabs((*x2-x1)/dx) < 32)
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integrer_jusqua_gauss_2 (x1, (*x2-x1)/40, valeur_integrale_cible, x2);
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}
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private:
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A (*f)(B&,C);
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B& b;
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};
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#endif
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