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//---------------------------------------------------------------------------
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#include "gestionversion.h"
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#pragma hdrstop
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#include "ot_tenseur.h"
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#include <iomanip>
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#include <conio.h>
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#include <stdio.h>
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#include <assert.h>
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#include <math.h>
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//---------------------------------------------------------------------------
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#pragma package(smart_init)
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OT_TENSEUR::OT_TENSEUR()
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{
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Dim1=0;
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Dim2=0;
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data=0;
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}
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OT_TENSEUR::OT_TENSEUR(int n)
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{
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Dim1=n;
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Dim2=n;
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double2 zero(0.);
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data =new double2[n*n];
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for(int i=0;i<Dim1*Dim2;i++) data[i]=zero;
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}
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OT_TENSEUR::OT_TENSEUR(int n,int m)
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{
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Dim1=n;
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Dim2=m;
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double2 zero(0.);
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data =new double2[n*m];
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for(int i=0;i<Dim1*Dim2;i++) data[i]=zero;
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}
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OT_TENSEUR:: OT_TENSEUR(vector<OT_VECTEUR_4DD>& v)
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{
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Dim1=v.size();
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Dim2=Dim1;
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double2 zero=0.;
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double2 prec=1e-6;
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prec.set_dx(1e-8);
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double2 c=0.5;
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OT_VECTEUR_4DD VCT_NUL(1e-7,1e-7,1e-7,1e-7), w;
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int Dim= Dim1*Dim2 ;
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data=new double2[Dim];
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for(int i=0;i<Dim1;i++)
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{
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OT_VECTEUR_4DD z1=v[i];
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for (int j=0;j<Dim2;j++)
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{
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OT_VECTEUR_4DD z2=v[j];
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double2 prscal=z1*z2;
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w=z1^z2;
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double2 wnorm=w.norme();
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if(wnorm<prec)
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{
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if(prscal<zero && prscal.get_fabs()>c) prscal= -1.;
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if(prscal>zero && prscal.get_fabs()>c) prscal= 1.;
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if(prscal<zero && prscal.get_fabs()<c) prscal= 0.;
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if(prscal>zero && prscal.get_fabs()<c) prscal= 0.;
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}
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double2 val= prscal.get_fabs();
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if(val.get_x()<=val.get_dx()) {
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prscal=0.;
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prscal.set_dx(val.get_dx());
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}
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data[i*Dim2+j]=prscal;
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}
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}
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}
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OT_TENSEUR::OT_TENSEUR(vector<OT_VECTEUR_4DD>&v1,vector<OT_VECTEUR_4DD>&v2)
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{
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Dim1=v1.size();
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Dim2=v2.size();
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int Dim= Dim1*Dim2 ;
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data=new double2[Dim];
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for(int i=0;i<Dim1;i++)
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{
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OT_VECTEUR_4DD z1=v1[i];
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for (int j=0;j<Dim2;j++)
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{
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OT_VECTEUR_4DD z2=v2[j];
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double2 prscal=z1*z2;
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double2 val= prscal.get_fabs();
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if(val.get_x()<=val.get_dx()) {
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prscal=0.;
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prscal.set_dx(val.get_dx());
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}
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data[i*Dim2+j]=prscal;
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}
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}
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}
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OT_TENSEUR::~OT_TENSEUR()
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{
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Dim1=0;
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Dim2=0;
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if (data!=NULL) delete [] data;
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}
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OT_TENSEUR::OT_TENSEUR(const OT_TENSEUR& ot)
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{
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Dim1=ot.Dim1;
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Dim2=ot.Dim2;
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data=new double2[Dim1*Dim2];
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for(int i=0;i<Dim1;i++)
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{
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for (int j=0;j<Dim2;j++)
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{
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data[i*Dim2+j]=ot(i,j);
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}
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}
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}
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OT_TENSEUR& OT_TENSEUR:: operator =(const OT_TENSEUR& ot)
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{
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if(this==&ot) return *this ;
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if(data) delete [] data;
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Dim1=ot.Dim1;
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Dim2=ot.Dim2;
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data=new double2[Dim1*Dim2];
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for(int i=0;i<Dim1;i++) {
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for (int j=0;j<Dim2;j++) {
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data[i*Dim2+j]=ot.data[i*Dim2+j];
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}
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}
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return *this;
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}
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int operator==( OT_TENSEUR& t1, OT_TENSEUR&t2)
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{
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if(t1.Get_NbRows()!=t2.Get_NbRows()||t1.Get_NbCols()!=t2.Get_NbCols()) return 0;
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else {
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for(int i=0;i<t1.Get_NbRows();i++)
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{
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for(int j=0;j<t1.Get_NbCols();j++)
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{
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double2 val1=t1(i,j);
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double2 val2=t2(i,j);
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if(val1==val2) continue;
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else return 0;
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}
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}
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}
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return 1;
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}
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double2&OT_TENSEUR:: operator()(int i,int j)
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{
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assert(i<Dim1&&j<Dim2);
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double2 prciseion=0.0;
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if(data[i*Dim2+j].get_fabs()<=prciseion)
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{
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data[i*Dim2+j]=0.;
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}
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return data[i*Dim2+j];
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}
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double2& OT_TENSEUR:: operator()(int i,int j)const
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{
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assert(i<Dim1&&j<Dim2);
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double2 prciseion=0.0;
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if(data[i*Dim2+j].get_fabs()<=prciseion)
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{
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data[i*Dim2+j]=0.;
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}
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return data[i*Dim2+j];
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}
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int OT_TENSEUR:: Get_NbRows()const
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{
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return Dim1;
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}
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int OT_TENSEUR:: Get_NbCols()const
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{
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return Dim2;
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}
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int OT_TENSEUR:: est_til_equivalent( OT_TENSEUR& tns)
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{
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if (Dim1!=tns.Get_NbRows()||Dim2!=tns.Get_NbCols()) return 0;
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vector<int> check;
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for(int i=0;i<tns.Get_NbRows();i++)
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{
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vector<double2> lig1;
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for(int ix1=0;ix1<Dim2;ix1++) lig1.insert(lig1.end(),data[i*Dim2+ix1]);
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for(int j=0;j<Dim2;j++)
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{
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int p=-1;
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if(!existe(check,j,p))
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{
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vector<int>trouve;
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vector<double2>valeur;
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vector<double2> lig2;
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for(int ix2=0;ix2<Dim2;ix2++) lig2.insert(lig2.end(),tns(j,ix2));
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for(int r=0;r<Dim2;r++)
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{
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double2 val=lig1[r];
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val=val.get_fabs();
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int indx1=-1;
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for(int s=0;s<Dim2;s++)
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{ int pos1;
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double2 vall=lig2[s];
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vall=vall.get_fabs();
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if (val==vall&&!existe(trouve,s,indx1))
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{
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trouve.insert(trouve.end(),s);
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valeur.insert(valeur.end(),val);
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break;
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}
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}
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}
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int t_trouve=trouve.size();
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if (t_trouve==Dim2)
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{
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check.insert(check.end(),j);
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break;
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}
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}
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}
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continue;
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}
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int t_chek=check.size();
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if (t_chek==Dim1)return 1;
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else return 0;
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}
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template <class T> int OT_TENSEUR:: existe(const vector<T>& vct,T val,int& idx)
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{
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if(val<0) val=-val;
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for(unsigned int i=0;i<vct.size();i++)
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{
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double x=vct[i];
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if(x<0) val=-val;
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if(x==val){
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idx=i; return 1; }
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}
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idx=-1;
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return 0;
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}
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OT_TENSEUR operator+( OT_TENSEUR& ot1, OT_TENSEUR& ot2)
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{
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assert (ot1.Get_NbRows()==ot2.Get_NbRows()&&ot1.Get_NbCols()==ot2.Get_NbCols());
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OT_TENSEUR res(ot1.Get_NbRows(),ot1.Get_NbCols());
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for(int i=0;i<ot1.Get_NbRows();i++)
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{
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for(int j=0;j<ot2.Get_NbCols();j++)
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{
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res(i,j)=ot1(i,j)+ot2(i,j);
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}
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}
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return res;
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}
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OT_TENSEUR operator*( double2& coef, OT_TENSEUR& ot)
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{
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OT_TENSEUR T=ot;
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for(int i=0;i<ot.Get_NbRows();i++)
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for(int j=0;j<ot.Get_NbCols();j++)
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T(i,j)=coef*T(i,j);
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return T;
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}
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OT_TENSEUR operator*(OT_TENSEUR& ot , double2& coef) |
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{
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return coef*ot;
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} |
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OT_TENSEUR OT_TENSEUR:: transpose() |
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{ |
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OT_TENSEUR TMP(Dim2,Dim1); |
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for(int i=0;i<Dim1;i++) { |
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for(int j=0;j<Dim2;j++)
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{
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TMP(j,i)=(*this)(i,j); // ot(i,j);
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}
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} |
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return TMP; |
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} |
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OT_TENSEUR operator*( OT_TENSEUR& ot1, OT_TENSEUR& ot2) |
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{ |
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int dim1=ot1.Get_NbRows(); |
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int dim3= ot1.Get_NbCols(); |
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int dim2=ot2.Get_NbCols(); |
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OT_TENSEUR TMP (dim1,dim2); |
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for(int i=0;i<dim1;i++) |
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{ |
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for(int j=0;j<dim2;j++) |
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{ |
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for(int k=0;k<dim3;k++) |
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TMP(i,j)=TMP(i,j)+ot1(i,k)*ot2(k,j); |
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} |
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} |
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return TMP; |
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}
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std::ostream& operator<<(std::ostream& os, OT_TENSEUR& tns){
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os<<"------------------------------------------------------------------------------------"<<endl;
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os<<"# TENSEUR: DIM1= "<< tns.Get_NbRows()<<" , DIM2: "<<tns.Get_NbCols()<<" #"<<endl;
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os<<"------------------------------------------------------------------------------------"<<endl;
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for(int i=0;i<tns.Get_NbRows();i++) {
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for(int j=0;j<tns.Get_NbCols();j++) {
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os<<setw(18)<<tns(i,j);
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}
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os<<endl;
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}
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os<<"------------------------------------------------------------------------------------"<<endl;
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return os;
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}
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void OT_TENSEUR::get_orthogonalisation(OT_TENSEUR& a,OT_VECTEUR_4DD& d,OT_TENSEUR& v,int n,int&nrot)
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{ |
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static const int ITMAX=50; |
| 385 |
double2 zro=0.0; |
| 386 |
int n1=n-1,n2=1/(n*n),ip1,iq1;// ,ip,j,i,iq// n=3, |
| 387 |
double2 tresh,theta,tau,t,sm,s,h,g,c; |
| 388 |
double2 *b=new double2[n]; // OT_VECTEUR_3D b,z; |
| 389 |
double2 *z=new double2[n]; |
| 390 |
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| 391 |
for(int ip=0;ip<n;ip++) |
| 392 |
{ |
| 393 |
for(int iq=0;iq<n;iq++) |
| 394 |
//v[ip*n+iq]=0.0; |
| 395 |
v(ip,iq)=0.0; |
| 396 |
v(ip,ip)=1.0; |
| 397 |
b[(unsigned int)ip]=d[(unsigned int)ip]=a(ip,ip); |
| 398 |
z[(unsigned int)ip]=0.0; |
| 399 |
} |
| 400 |
nrot=0; |
| 401 |
for(int i=1;i<=ITMAX;i++) |
| 402 |
{ |
| 403 |
sm=0.0; |
| 404 |
for(int ip=0;ip<n1;ip++) |
| 405 |
for(int iq=ip+1;iq<n;iq++) |
| 406 |
sm =sm+(a(ip,iq)).get_fabs(); |
| 407 |
if(sm==zro) |
| 408 |
return; |
| 409 |
if(i<4) |
| 410 |
tresh=0.2*sm*n2; |
| 411 |
else |
| 412 |
tresh=0.0; |
| 413 |
for(int ip=0;ip<n1;ip++) |
| 414 |
for(int iq=ip+1;iq<n;iq++) |
| 415 |
{ |
| 416 |
g=100*(a(ip,iq)).get_fabs(); |
| 417 |
if(i>4&&((d[(unsigned int)ip]+g).get_fabs()==d[(unsigned int)ip].get_fabs())&&((d[(unsigned int)iq])+g).get_fabs()==d[(unsigned int)iq].get_fabs()) |
| 418 |
a(ip,iq)=0.0; |
| 419 |
else if((a(ip,iq)).get_fabs()>tresh) |
| 420 |
{ |
| 421 |
h=d[(unsigned int)iq]-d[(unsigned int)ip]; |
| 422 |
if(((h).get_fabs()+g)==(h).get_fabs()) |
| 423 |
t=a(ip,iq)/h; |
| 424 |
else |
| 425 |
{ |
| 426 |
theta=0.5*h/a(ip,iq); |
| 427 |
t=1.0/((theta).get_fabs()+sqrt(1.0+theta*theta)); |
| 428 |
if(theta<zro)t=zro-t; |
| 429 |
} |
| 430 |
c=1.0/sqrt(1+t*t); |
| 431 |
s=t*c; |
| 432 |
tau=s/(1.0+c); |
| 433 |
h=t*a(ip,iq); |
| 434 |
z[(unsigned int)ip]=z[(unsigned int)ip]-h; |
| 435 |
z[(unsigned int)iq]=z[(unsigned int)iq]+h; |
| 436 |
d[(unsigned int)ip]=d[(unsigned int)ip]-h; |
| 437 |
d[(unsigned int)iq]=d[(unsigned int)iq]+h; |
| 438 |
a(ip,iq)=0.0; |
| 439 |
ip1=ip-1; |
| 440 |
iq1=iq-1; |
| 441 |
for(int j=0;j<=ip1;j++) |
| 442 |
{ |
| 443 |
g=a(j,ip); |
| 444 |
h=a(j,iq); |
| 445 |
a(j,ip)=g-s*(h+g*tau); |
| 446 |
a(j,iq)=h+s*(g-h*tau); |
| 447 |
} |
| 448 |
for(int j=ip+1;j<=iq1;j++) |
| 449 |
{ |
| 450 |
g=a(ip,j); |
| 451 |
h=a(j,iq); |
| 452 |
a(ip,j)=g-s*(h+g*tau); |
| 453 |
a(j,iq)=h+s*(g-h*tau); |
| 454 |
} |
| 455 |
for(int j=iq+1;j<n;j++) |
| 456 |
{ |
| 457 |
g=a(ip,j); |
| 458 |
h=a(iq,j); |
| 459 |
a(ip,j)=g-s*(h+g*tau); |
| 460 |
a(iq,j)=h+s*(g-h*tau); |
| 461 |
} |
| 462 |
for(int j=0;j<n;j++) |
| 463 |
{ |
| 464 |
g=v(j,ip); |
| 465 |
h=v(j,iq); |
| 466 |
v(j,ip)=g-s*(h+g*tau); |
| 467 |
v(j,iq)=h+s*(g-h*tau); |
| 468 |
} |
| 469 |
++nrot; |
| 470 |
} |
| 471 |
} |
| 472 |
for(int ip=0;ip<n;ip++) |
| 473 |
{ |
| 474 |
b[(unsigned int)ip]=b[(unsigned int)ip]+z[(unsigned int)ip]; |
| 475 |
d[(unsigned int)ip]=b[(unsigned int)ip]; |
| 476 |
z[(unsigned int)ip]=0.0; |
| 477 |
} |
| 478 |
} |
| 479 |
|
| 480 |
|
| 481 |
delete [] b; |
| 482 |
delete [] z; |
| 483 |
|
| 484 |
}
|
| 485 |
|
| 486 |
|
| 487 |
|
| 488 |
|
| 489 |
int OT_TENSEUR::listes_equivalentes(std::vector<double2>& list1,std::vector<double2>& list2,std::vector<unsigned int>& indx) |
| 490 |
{ |
| 491 |
|
| 492 |
|
| 493 |
int compt=0; |
| 494 |
int pos=-1; |
| 495 |
int exist=0; |
| 496 |
|
| 497 |
for(int i=0;i<list1.size();i++) |
| 498 |
{ |
| 499 |
double2 val1=list1[i]; |
| 500 |
double prc=1e-5; |
| 501 |
double prcc; |
| 502 |
if(pos==-1) |
| 503 |
{ |
| 504 |
for(int k=0;k< list2.size();k++) |
| 505 |
{ |
| 506 |
double2 val2=list2[k]; |
| 507 |
prcc =val2.get_x()-val1.get_x(); |
| 508 |
prcc =prcc/val2.get_x(); |
| 509 |
if( fabs(prcc)<prc){ |
| 510 |
indx.insert(indx.end(),k); |
| 511 |
pos=k; |
| 512 |
compt++; |
| 513 |
break; |
| 514 |
} |
| 515 |
} |
| 516 |
} |
| 517 |
|
| 518 |
else |
| 519 |
{ |
| 520 |
for( int r=0;r<list2.size();r++) |
| 521 |
{ |
| 522 |
double2 vval2=list2[r]; |
| 523 |
for(int j=0;j<indx.size();j++) |
| 524 |
{ |
| 525 |
exist=0; |
| 526 |
if (r==indx[j]) |
| 527 |
{ |
| 528 |
exist=1; |
| 529 |
break; |
| 530 |
} |
| 531 |
} |
| 532 |
prcc =vval2.get_x()-val1.get_x(); |
| 533 |
prcc =prcc/vval2.get_x(); |
| 534 |
if(fabs(prcc)<prc&&!exist) // vval2==val1 |
| 535 |
{ |
| 536 |
indx.insert(indx.end(),r); |
| 537 |
pos=r; |
| 538 |
compt++; |
| 539 |
break; |
| 540 |
} |
| 541 |
} |
| 542 |
} |
| 543 |
|
| 544 |
} |
| 545 |
|
| 546 |
if (compt==list1.size())return 1; |
| 547 |
else return 0; |
| 548 |
|
| 549 |
} |
| 550 |
|
| 551 |
|
| 552 |
|
| 553 |
|
| 554 |
|
| 555 |
|
