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souaissa |
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//---------------------------------------------------------------------------
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#ifndef ot_fonctionsH
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#define ot_fonctionsH
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//---------------------------------------------------------------------------
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#ifdef WINDOWS_VERSION
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#ifdef BUILT_DLL_OUTIL
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#define DLLPORTOUTIL __declspec(dllexport)
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#else
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#define DLLPORTOUTIL __declspec(dllimport)
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#endif
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#else
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#define DLLPORTOUTIL
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#endif
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#include <math.h>
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#include "ot_doubleprecision.h"
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#include "ot_mathematique.h"
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#include "ot_algorithme_geometrique.h"
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#define PI 3.1415926535897932384626433832795
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double2 moment (double2 theta,vector<OT_VECTEUR_4DD>& ctrpts,int plan)
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{
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//double li[]={78.10249676,78.10249676,78.10249676,78.10249676} ;
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//double thi[]={39.80557109+10,140.19442891+10,219.80557109+10,320.19442891+10};
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int nb_pts=ctrpts.size();
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double ordre=4.;
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double2 zer=0.;
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double2 sum=0.;
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for(int i=0;i<nb_pts;i++)
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{
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//thi[i]=thi[i]*PI/180;
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//double2 nori=ctrpts[i].norme();
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double2 x=ctrpts[i].x()^2;
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double2 y=ctrpts[i].y()^2;
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double2 z=ctrpts[i].z()^2;
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double2 nori;
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// double2 nori=ctrpts[i].norme();
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double2 cosi=0.;
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double2 sini=0.;
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if(plan==12)
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{
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nori=(x+y)^0.5;
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if (nori!=zer){
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cosi=ctrpts[i].get_x()/nori;
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sini=ctrpts[i].get_y()/nori;
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}
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}
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if(plan==23)
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{
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nori=(y+z)^0.5;
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if (nori!=zer){
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cosi=ctrpts[i].get_y()/nori;
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sini=ctrpts[i].get_z()/nori;
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}
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}
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if(plan==13)
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{
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nori=(x+z)^0.5;
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if (nori!=zer){
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cosi=ctrpts[i].get_x()/nori;
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sini=ctrpts[i].get_z()/nori;
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}
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}
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double2 costh=cos(theta);
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double2 sinth=sin(theta);
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double2 d_theta=sini*costh-cosi*sinth;
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//sum=sum+ pow(li[i],4)*pow(d_theta,4);
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double2 val1=nori^ordre;
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double2 val2=d_theta^ordre;
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double2 val=val1*val2;
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sum=sum+ val;
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}
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return sum;
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}
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double2 Max(double2 a,double2 b)
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{
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return((a<b)? b : a);
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}
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double2 Min(double2 a,double2 b)
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{
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return ((a>b)? b : a);
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}
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double2 Sign(double2 a,double2 b)
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{ |
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double2 zer=0.; |
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double2 c=-1.; |
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if(b>=zer) |
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return a; |
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else |
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return c*a; |
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} |
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void swap(double2& a,double2& b)
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{
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double2 tmp; tmp = a; a = b; b = tmp;
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}
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void Shift(double2&a,double2&b,double2&c,double2 d)
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{ |
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a=b;b=c;c=d; |
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}
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void min_Brak(double2 &ax,double2 &bx,double2 &cx,double2 &fa,double2 &fb,double2 &fc,vector<OT_VECTEUR_4DD>& ctrpts,int plan)
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{ |
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static const double2 GOLD=1.618034; |
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static const double2 GLIMIT=100.0; |
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static const double2 TINY=1.0e-20; |
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double2 ulim,u,r,q,fu; |
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double2(*func)(double2,vector<OT_VECTEUR_4DD>&,int)=&moment; |
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double2 dtheta=0.0001; |
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ax=0.; |
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bx=ax+dtheta; |
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cx=bx+dtheta; |
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double2 fva=(*func)(ax,ctrpts,plan); |
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double2 fvb=(*func)(bx,ctrpts,plan); |
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double2 fvc=(*func)(cx,ctrpts,plan); |
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while (fvb> fva) |
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{ |
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ax=bx; |
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bx=ax+dtheta; |
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fva=(*func)(ax,ctrpts,plan); |
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fvb=(*func)(bx,ctrpts,plan); |
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} |
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if(fvb<fva) |
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{ |
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cx=bx+dtheta; |
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while (fvb> fvc) |
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{ |
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bx=cx; |
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cx=bx+dtheta; |
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fvb=(*func)(bx,ctrpts,plan); |
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fvc=(*func)(cx,ctrpts,plan); |
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} |
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} |
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fa=(*func)(ax,ctrpts,plan); |
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fb=(*func)(bx,ctrpts,plan); |
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if(fb>fa) |
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{ |
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swap(ax,bx); |
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swap(fb,fa); |
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} |
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cx=bx+GOLD*(bx-ax); |
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fc=(*func)(cx,ctrpts,plan); |
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double2 d=2.; |
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double2 zer=0.; |
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while(fb>fc) |
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{ |
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r=(bx-ax)*(fb-fc); |
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q=(bx-cx)*(fb-fa); |
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u=bx-((bx-cx)*q-(bx-ax)*r)/(d*Sign(Max((q-r).get_fabs(),TINY),q-r));//(d*Sign(Max(abs(q-r),TINY),q-r)); |
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ulim=bx+GLIMIT*(cx-bx); |
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if((bx-u)*(u-cx)>zer) |
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{ |
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fu=(*func)(u,ctrpts,plan); |
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if(fu<fc) |
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{ |
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ax=bx; |
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bx=u; |
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fa=fb; |
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fb=fu; |
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return; |
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} |
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else if(fu>fb) |
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{ |
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cx=u; |
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fc=fu; |
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return; |
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} |
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u=cx+GOLD*(cx-bx); |
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fu=(*func)(u,ctrpts,plan); |
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} |
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else if((cx-u)*(u-ulim)>zer) |
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{ |
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fu=(*func)(u,ctrpts,plan); |
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if(fu<fc) |
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{ |
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bx=cx; |
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cx=u; |
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u=cx+GOLD*(cx-bx); |
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Shift(fb,fc,fu,(*func)(u,ctrpts,plan)); |
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} |
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} |
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else if((u-ulim)*(ulim-cx)>=zer) |
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{ |
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u=ulim; |
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fu=(*func)(u,ctrpts,plan); |
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} |
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else |
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{ |
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u=cx+GOLD*(cx-bx); |
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fu=(*func)(u,ctrpts,plan); |
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} |
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Shift(ax,bx,cx,u); |
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Shift(fa,fb,fc,fu); |
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} |
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}
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vector<OT_VECTEUR_4DD> system_axes(vector<OT_VECTEUR_4DD>& ctrpts)
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{
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vector<OT_VECTEUR_4DD> syst_axe;
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int nb_points=ctrpts.size();
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vector<OT_VECTEUR_4DD> ctrpts_proj;
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OT_VECTEUR_4DD axe1,axe2,axe3,axe4;
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double2 ax,bx,cx,fa,fb,fc;
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int plan=12;
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double2 z0=ctrpts[0].get_z() ;
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double2 y0=ctrpts[0].get_z() ;
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double2 x0=ctrpts[0].get_z() ;
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int cmpt1=0;
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int cmpt2=0;
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int cmpt3=0;
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for(int i=0;i<nb_points;i++)
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{
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if (ctrpts[i].get_x()==x0) cmpt1++;
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if (ctrpts[i].get_y()==y0) cmpt2++;
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if (ctrpts[i].get_z()==z0) cmpt3++;
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}
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if(cmpt1==nb_points) plan=23;
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if(cmpt2==nb_points) plan=13;
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if(cmpt3==nb_points) plan=12;
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min_Brak(ax,bx,cx,fa,fb,fc,ctrpts,plan);
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double theta= bx.get_x();
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double c=cos(theta);
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double s=sin(theta);
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axe1.change_x(c);
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axe1.change_y(s);
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axe1.change_z(0.);
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axe1.change_w(0.);
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double e1_proj[3];
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double e2_proj[3];
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double normal[3];
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normal[0] =(axe1.get_x()).get_x();
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normal[1] =(axe1.get_y()).get_x();
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| 255 |
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normal[2] =(axe1.get_z()).get_x();
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double root[3]={0.,0.,0.};
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OT_ALGORITHME_GEOMETRIQUE algo;
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int pris=0;
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OT_MATRICE_3D P, P_1;
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| 261 |
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for(int i=0;i<nb_points;i++)
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{
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double pnt[3];
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double proj_pnt[3];
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pnt[0] =(ctrpts[i].get_x()).get_x();
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pnt[1] =(ctrpts[i].get_y()).get_x();
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pnt[2] =(ctrpts[i].get_z()).get_x();
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| 270 |
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algo.Proj3D_Point_Plan (normal, root, pnt, proj_pnt);
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OT_VECTEUR_4DD pt_proj;
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| 274 |
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| 275 |
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if ((proj_pnt[0]!=0.||proj_pnt[1]!=0.||proj_pnt[2]!=0)&&!pris)
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| 276 |
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{
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| 277 |
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e1_proj[0]=proj_pnt[0];
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| 278 |
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e1_proj[1]=proj_pnt[1];
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| 279 |
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e1_proj[2]=proj_pnt[2];
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| 280 |
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double norm=sqrt(pow(proj_pnt[0],2)+pow(proj_pnt[1],2)+pow(proj_pnt[2],2));
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| 281 |
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| 282 |
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e1_proj[0]=e1_proj[0]/norm;
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| 283 |
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e1_proj[1]=e1_proj[1]/norm;
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| 284 |
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e1_proj[2]=e1_proj[2]/norm;
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| 285 |
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| 286 |
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e2_proj[0]=normal[1]*e1_proj[2]-normal[2]*e1_proj[1];
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| 287 |
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e2_proj[1]=normal[2]*e1_proj[0]-normal[2]*e1_proj[2];
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| 288 |
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e2_proj[2]=normal[0]*e1_proj[1]-normal[2]*e1_proj[0];
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| 289 |
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| 290 |
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OT_VECTEUR_3D V1(e1_proj[0],e2_proj[0],normal[0]);
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| 291 |
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OT_VECTEUR_3D V2(e1_proj[1],e2_proj[1],normal[1]);
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| 292 |
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OT_VECTEUR_3D V3(e1_proj[2],e2_proj[2],normal[2]);
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| 293 |
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| 294 |
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| 295 |
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| 296 |
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P.change_vecteur1(V1);
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| 297 |
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P.change_vecteur2(V2);
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| 298 |
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P.change_vecteur3(V3);
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| 299 |
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| 300 |
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P_1=P.inverse();
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| 301 |
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pris=1;
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| 302 |
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}
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| 303 |
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| 304 |
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OT_VECTEUR_3D V_PT(proj_pnt[0],proj_pnt[1],proj_pnt[2]);
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| 305 |
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| 306 |
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OT_VECTEUR_3D V=P_1*V_PT;
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| 307 |
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| 308 |
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| 309 |
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pt_proj.change_x(V[0]);
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| 310 |
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pt_proj.change_y(V[1]);
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| 311 |
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pt_proj.change_z(V[2]);
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| 312 |
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| 313 |
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ctrpts_proj.insert(ctrpts_proj.end(),pt_proj);
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| 314 |
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}
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| 315 |
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| 316 |
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min_Brak(ax,bx,cx,fa,fb,fc,ctrpts_proj,plan);
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| 317 |
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| 318 |
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theta= bx.get_x();
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| 319 |
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c=cos(theta);
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| 320 |
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s=sin(theta);
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| 321 |
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OT_VECTEUR_3D Vp(c,s,0.);
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| 322 |
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double nnv_x=Vp*P.get_vecteur1();
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| 323 |
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double nnv_y=Vp*P.get_vecteur2();
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| 324 |
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double nnv_z=Vp*P.get_vecteur3();
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| 325 |
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| 326 |
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axe2.change_x(nnv_x);
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| 327 |
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axe2.change_y(nnv_y);
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| 328 |
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axe2.change_z(nnv_z);
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| 329 |
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| 330 |
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double2 val=axe1*axe2;
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| 331 |
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| 332 |
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axe3[0]=axe1[1]*axe2[2]-axe1[2]*axe2[1];
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| 333 |
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axe3[1]=axe1[2]*axe2[0]-axe1[2]*axe2[2];
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| 334 |
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axe3[2]=axe1[0]*axe2[1]-axe1[2]*axe2[0];
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| 335 |
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| 336 |
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axe3[3]=0.;
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| 337 |
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| 338 |
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| 339 |
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syst_axe.insert( syst_axe.end(),axe1);
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| 340 |
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syst_axe.insert( syst_axe.end(),axe2);
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| 341 |
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syst_axe.insert( syst_axe.end(),axe3);
|
| 342 |
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|
|
| 343 |
|
|
return syst_axe;
|
| 344 |
|
|
}
|
| 345 |
|
|
|
| 346 |
|
|
|
| 347 |
|
|
|
| 348 |
|
|
|
| 349 |
|
|
#endif
|
