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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=NULL;
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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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void OT_TENSEUR::identite(void)
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{
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double2 un(1.0);
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for(int i=0;i<Dim1;i++)
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data[i*Dim2+i]=un;
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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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vector<double2> operator*( OT_TENSEUR& ot1, vector<double2>& v)
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{
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assert (ot1.Get_NbCols()==v.size());
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vector<double2> res(ot1.Get_NbCols());
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for(int i=0;i<ot1.Get_NbRows();i++)
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{
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res[i]=double2(0.0);
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for(int j=0;j<ot1.Get_NbCols();j++)
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{
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res[i]=res[i]+ot1(i,j)+v[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::inverse_homogene(void)
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{
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OT_TENSEUR TMP(4,4);
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if (Dim1!=4) return TMP;
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if (Dim2!=4) return TMP;
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double2 zero(0.);
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double2 un(1.);
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OT_VECTEUR_4DD x1((*this)(0,0),(*this)(1,0),(*this)(2,0),zero);
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OT_VECTEUR_4DD x2((*this)(0,1),(*this)(1,1),(*this)(2,1),zero);
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OT_VECTEUR_4DD x3((*this)(0,2),(*this)(1,2),(*this)(2,2),zero);
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OT_VECTEUR_4DD x4((*this)(0,3)/(*this)(3,3),(*this)(1,3)/(*this)(3,3),(*this)(2,3)/(*this)(3,3),un);
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TMP(0,0)=(*this)(0,0);TMP(1,0)=(*this)(0,1);TMP(2,0)=(*this)(0,2);TMP(3,0)=zero;
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TMP(0,1)=(*this)(1,0);TMP(1,1)=(*this)(1,1);TMP(2,1)=(*this)(1,2);TMP(3,1)=zero;
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TMP(0,2)=(*this)(2,0);TMP(1,2)=(*this)(2,1);TMP(2,2)=(*this)(2,2);TMP(3,2)=zero;
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TMP(0,3)=zero-x4*x1;
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TMP(1,3)=zero-x4*x2;
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TMP(2,3)=zero-x4*x3;
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TMP(3,3)=un;
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return TMP;
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}
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OT_TENSEUR OT_TENSEUR:: transpose()
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{
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| 385 |
OT_TENSEUR TMP(Dim2,Dim1);
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for(int i=0;i<Dim1;i++) {
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| 387 |
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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| 398 |
int dim1=ot1.Get_NbRows();
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| 399 |
int dim3= ot1.Get_NbCols();
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| 400 |
int dim2=ot2.Get_NbCols();
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| 401 |
OT_TENSEUR TMP (dim1,dim2);
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| 402 |
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for(int i=0;i<dim1;i++)
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| 404 |
{
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| 405 |
for(int j=0;j<dim2;j++)
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| 406 |
{
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| 407 |
for(int k=0;k<dim3;k++)
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| 408 |
TMP(i,j)=TMP(i,j)+ot1(i,k)*ot2(k,j);
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| 409 |
}
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| 410 |
}
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| 411 |
return TMP;
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| 412 |
}
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| 413 |
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| 414 |
OT_VECTEUR_4DD operator*( OT_TENSEUR& ot1, OT_VECTEUR_4DD& ot2)
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| 415 |
{
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| 416 |
OT_VECTEUR_4DD TMP(0.,0.,0.,0.);
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| 417 |
if (ot1.Get_NbRows()!=4) return TMP;
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| 418 |
if (ot1.Get_NbCols()!=4) return TMP;
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| 419 |
for(int i=0;i<4;i++)
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| 420 |
{
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| 421 |
TMP[i]=TMP[i]+ot1(i,0)*ot2[0]+ot1(i,1)*ot2[1]+ot1(i,2)*ot2[2]+ot1(i,3)*ot2[3];
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| 422 |
}
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| 423 |
return TMP;
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| 424 |
}
|
| 425 |
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| 426 |
OT_VECTEUR_3DD operator*( OT_TENSEUR& ot1, OT_VECTEUR_3DD& ot2)
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| 427 |
{
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| 428 |
OT_VECTEUR_3DD TMP(0.,0.,0.);
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| 429 |
if (ot1.Get_NbRows()!=3) return TMP;
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| 430 |
if (ot1.Get_NbCols()!=3) return TMP;
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| 431 |
for(int i=0;i<3;i++)
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| 432 |
{
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| 433 |
TMP[i]=TMP[i]+ot1(i,0)*ot2[0]+ot1(i,1)*ot2[1]+ot1(i,2)*ot2[2];
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}
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| 435 |
return TMP;
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| 436 |
}
|
| 437 |
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| 438 |
std::ostream& operator<<(std::ostream& os, OT_TENSEUR& tns){
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| 439 |
os<<"------------------------------------------------------------------------------------"<<endl;
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| 440 |
os<<"# TENSEUR: DIM1= "<< tns.Get_NbRows()<<" , DIM2: "<<tns.Get_NbCols()<<" #"<<endl;
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| 441 |
os<<"------------------------------------------------------------------------------------"<<endl;
|
| 442 |
for(int i=0;i<tns.Get_NbRows();i++) {
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| 443 |
for(int j=0;j<tns.Get_NbCols();j++) {
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| 444 |
os<<setw(18)<<tns(i,j);
|
| 445 |
}
|
| 446 |
os<<endl;
|
| 447 |
}
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| 448 |
os<<"------------------------------------------------------------------------------------"<<endl;
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| 449 |
return os;
|
| 450 |
}
|
| 451 |
|
| 452 |
|
| 453 |
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| 454 |
void OT_TENSEUR::get_orthogonalisation(OT_TENSEUR& a,OT_VECTEUR_4DD& d,OT_TENSEUR& v,int n,int&nrot)
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| 455 |
{
|
| 456 |
|
| 457 |
static const int ITMAX=50;
|
| 458 |
double2 zro=0.0;
|
| 459 |
int n1=n-1,n2=1/(n*n),ip1,iq1;// ,ip,j,i,iq// n=3,
|
| 460 |
double2 tresh,theta,tau,t,sm,s,h,g,c;
|
| 461 |
double2 *b=new double2[n]; // OT_VECTEUR_3D b,z;
|
| 462 |
double2 *z=new double2[n];
|
| 463 |
|
| 464 |
for(int ip=0;ip<n;ip++)
|
| 465 |
{
|
| 466 |
for(int iq=0;iq<n;iq++)
|
| 467 |
//v[ip*n+iq]=0.0;
|
| 468 |
v(ip,iq)=0.0;
|
| 469 |
v(ip,ip)=1.0;
|
| 470 |
b[(unsigned int)ip]=d[(unsigned int)ip]=a(ip,ip);
|
| 471 |
z[(unsigned int)ip]=0.0;
|
| 472 |
}
|
| 473 |
nrot=0;
|
| 474 |
for(int i=1;i<=ITMAX;i++)
|
| 475 |
{
|
| 476 |
sm=0.0;
|
| 477 |
for(int ip=0;ip<n1;ip++)
|
| 478 |
for(int iq=ip+1;iq<n;iq++)
|
| 479 |
sm =sm+(a(ip,iq)).get_fabs();
|
| 480 |
if(sm==zro)
|
| 481 |
return;
|
| 482 |
if(i<4)
|
| 483 |
tresh=0.2*sm*n2;
|
| 484 |
else
|
| 485 |
tresh=0.0;
|
| 486 |
for(int ip=0;ip<n1;ip++)
|
| 487 |
for(int iq=ip+1;iq<n;iq++)
|
| 488 |
{
|
| 489 |
g=100*(a(ip,iq)).get_fabs();
|
| 490 |
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())
|
| 491 |
a(ip,iq)=0.0;
|
| 492 |
else if((a(ip,iq)).get_fabs()>tresh)
|
| 493 |
{
|
| 494 |
h=d[(unsigned int)iq]-d[(unsigned int)ip];
|
| 495 |
if(((h).get_fabs()+g)==(h).get_fabs())
|
| 496 |
t=a(ip,iq)/h;
|
| 497 |
else
|
| 498 |
{
|
| 499 |
theta=0.5*h/a(ip,iq);
|
| 500 |
t=1.0/((theta).get_fabs()+sqrt(1.0+theta*theta));
|
| 501 |
if(theta<zro)t=zro-t;
|
| 502 |
}
|
| 503 |
c=1.0/sqrt(1+t*t);
|
| 504 |
s=t*c;
|
| 505 |
tau=s/(1.0+c);
|
| 506 |
h=t*a(ip,iq);
|
| 507 |
z[(unsigned int)ip]=z[(unsigned int)ip]-h;
|
| 508 |
z[(unsigned int)iq]=z[(unsigned int)iq]+h;
|
| 509 |
d[(unsigned int)ip]=d[(unsigned int)ip]-h;
|
| 510 |
d[(unsigned int)iq]=d[(unsigned int)iq]+h;
|
| 511 |
a(ip,iq)=0.0;
|
| 512 |
ip1=ip-1;
|
| 513 |
iq1=iq-1;
|
| 514 |
for(int j=0;j<=ip1;j++)
|
| 515 |
{
|
| 516 |
g=a(j,ip);
|
| 517 |
h=a(j,iq);
|
| 518 |
a(j,ip)=g-s*(h+g*tau);
|
| 519 |
a(j,iq)=h+s*(g-h*tau);
|
| 520 |
}
|
| 521 |
for(int j=ip+1;j<=iq1;j++)
|
| 522 |
{
|
| 523 |
g=a(ip,j);
|
| 524 |
h=a(j,iq);
|
| 525 |
a(ip,j)=g-s*(h+g*tau);
|
| 526 |
a(j,iq)=h+s*(g-h*tau);
|
| 527 |
}
|
| 528 |
for(int j=iq+1;j<n;j++)
|
| 529 |
{
|
| 530 |
g=a(ip,j);
|
| 531 |
h=a(iq,j);
|
| 532 |
a(ip,j)=g-s*(h+g*tau);
|
| 533 |
a(iq,j)=h+s*(g-h*tau);
|
| 534 |
}
|
| 535 |
for(int j=0;j<n;j++)
|
| 536 |
{
|
| 537 |
g=v(j,ip);
|
| 538 |
h=v(j,iq);
|
| 539 |
v(j,ip)=g-s*(h+g*tau);
|
| 540 |
v(j,iq)=h+s*(g-h*tau);
|
| 541 |
}
|
| 542 |
++nrot;
|
| 543 |
}
|
| 544 |
}
|
| 545 |
for(int ip=0;ip<n;ip++)
|
| 546 |
{
|
| 547 |
b[(unsigned int)ip]=b[(unsigned int)ip]+z[(unsigned int)ip];
|
| 548 |
d[(unsigned int)ip]=b[(unsigned int)ip];
|
| 549 |
z[(unsigned int)ip]=0.0;
|
| 550 |
}
|
| 551 |
}
|
| 552 |
|
| 553 |
|
| 554 |
delete [] b;
|
| 555 |
delete [] z;
|
| 556 |
|
| 557 |
}
|
| 558 |
|
| 559 |
|
| 560 |
|
| 561 |
|
| 562 |
int OT_TENSEUR::listes_equivalentes(std::vector<double2>& list1,std::vector<double2>& list2,std::vector<unsigned int>& indx)
|
| 563 |
|
| 564 |
{
|
| 565 |
int compt=0;
|
| 566 |
int pos=-1;
|
| 567 |
int exist=0;
|
| 568 |
for(int i=0;i<list1.size();i++)
|
| 569 |
{
|
| 570 |
double2 val1=list1[i];
|
| 571 |
double prc=1e-3;
|
| 572 |
double prcc;
|
| 573 |
if(pos==-1)
|
| 574 |
{
|
| 575 |
for(int k=0;k< list2.size();k++)
|
| 576 |
{
|
| 577 |
double2 val2=list2[k];
|
| 578 |
prcc =val2.get_x()-val1.get_x();
|
| 579 |
if (fabs(val2.get_x())>val2.get_dx())
|
| 580 |
prcc =prcc/val2.get_x();
|
| 581 |
if( fabs(prcc)<prc){
|
| 582 |
indx.insert(indx.end(),k);
|
| 583 |
pos=k;
|
| 584 |
compt++;
|
| 585 |
break;
|
| 586 |
}
|
| 587 |
}
|
| 588 |
}
|
| 589 |
|
| 590 |
|
| 591 |
else {
|
| 592 |
for( int r=0;r<list2.size();r++)
|
| 593 |
{
|
| 594 |
double2 vval2=list2[r];
|
| 595 |
for(int j=0;j<indx.size();j++)
|
| 596 |
{
|
| 597 |
exist=0;
|
| 598 |
if (r==indx[j])
|
| 599 |
{
|
| 600 |
exist=1;
|
| 601 |
break;
|
| 602 |
}
|
| 603 |
}
|
| 604 |
|
| 605 |
prcc =vval2.get_x()-val1.get_x();
|
| 606 |
if(fabs(vval2.get_x())>vval2.get_dx())
|
| 607 |
prcc =prcc/vval2.get_x();
|
| 608 |
|
| 609 |
if(fabs(prcc)<prc&&!exist) // vval2==val1
|
| 610 |
{
|
| 611 |
indx.insert(indx.end(),r);
|
| 612 |
pos=r;
|
| 613 |
compt++;
|
| 614 |
break;
|
| 615 |
}
|
| 616 |
|
| 617 |
}
|
| 618 |
}
|
| 619 |
}
|
| 620 |
|
| 621 |
if (compt==list1.size())return 1;
|
| 622 |
else return 0;
|
| 623 |
|
| 624 |
|
| 625 |
}
|
| 626 |
|
| 627 |
|
| 628 |
|
| 629 |
|
| 630 |
|
| 631 |
|
