source: issm/trunk/src/c/objects/Bamg/GeometricalEdge.cpp@ 5149

#include <cstdio>
#include <string.h>
#include <cmath>

#include "../../include/include.h"
#include "../../shared/Exceptions/exceptions.h"

#include "GeometricalEdge.h"
#include "Geometry.h"

using namespace std;

namespace bamg {

        /*Constructor/Destructor*/

        /*Methods*/
        /*FUNCTION GeometricalEdge::R1tg{{{1*/
        double GeometricalEdge::R1tg(double theta,R2 & t) const{
                /*Original code from Frederic Hecht <hecht@ann.jussieu.fr> (BAMG v1.01, MeshGeom.cpp/R1tg)*/
                // 1/R of radius of cuvature

                R2 A=v[0]->r,B=v[1]->r;
                double dca,dcb,dcta,dctb;
                double ddca,ddcb,ddcta,ddctb;
                double tt = theta*theta;

                //check theta
                ISSMASSERT(theta>=0 && theta<=1);

                if (TgA()){ 
                        if (TgB()){
                                // Tangent A and B provided:
                                // interpolation d'hermite
                                dcb = 6*theta*(1-theta);
                                ddcb = 6*(1-2*theta);
                                dca = -dcb;
                                ddca = -ddcb;
                                dcta =  (3*theta - 4)*theta + 1;
                                ddcta=6*theta-4;
                                dctb = 3*tt - 2*theta;
                                ddctb = 6*theta-2;
                        }
                        else {
                                //Tangent A provided but tangent B not provided
                                // 1-t*t, t-t*t, t*t
                                double t = theta;
                                dcb = 2*t;
                                ddcb = 2;
                                dca = -dcb;
                                ddca = -2;
                                dcta = 1-dcb;
                                ddcta = -ddcb;
                                dctb=0;    
                                ddctb=0;    
                        }
                }
                else{
                        if (TgB()){
                                //Tangent B provided but tangent A not provided
                                double t = 1-theta;
                                dca = -2*t;
                                ddca = 2;
                                dcb = -dca;
                                ddcb = -2;
                                dctb = 1+dca;
                                ddctb= ddca;
                                dcta =0;
                                ddcta =0;
                        }
                        else {
                                //Neither thangent A nor tangent B provided
                                // lagrange P1
                                t=B-A;
                                return 0;
                        } 
                }
                R2 d  =  A*dca  + B*dcb  + tg[0]* dcta  + tg[1] * dctb;
                R2 dd =  A*ddca + B*ddcb + tg[0]* ddcta + tg[1] * ddctb;
                double d2=(d,d);
                double sd2 = sqrt(d2);
                t=d;
                if(d2>1.0e-20){
                        t/=sd2;
                        return Abs(Det(d,dd))/(d2*sd2);
                }
                else return 0;
        }
        /*}}}1*/
        /*FUNCTION GeometricalEdge::F{{{1*/
        R2 GeometricalEdge::F(double theta) const{
                /*Original code from Frederic Hecht <hecht@ann.jussieu.fr> (BAMG v1.01, MeshGeom.cpp/F)*/
                // parametrization of the curve edge

           R2 A=v[0]->r,B=v[1]->r;
                double ca,cb,cta,ctb;
                if ( theta<-1e-12){
                        ISSMERROR("theta<-1e-12");
                }
                if ( theta>1+1e-12){
                        ISSMERROR("theta>1+1e-12");
                }
                if (TgA()) 
                 if (TgB()) // interpolation d'hermite
                        { cb =  theta*theta*(3-2*theta);
                         ca =  1-cb;     
                         cta = (1-theta)*(1-theta)*theta;
                         ctb = (theta-1)*theta*theta ;
                        }
                 else { // 1-t*t, t-t*t, t*t
                         double t = theta;
                         cb = t*t;
                         ca = 1-cb;
                         cta= t-cb;
                         ctb=0;    
                 }    
                else
                 if (TgB()){
                         double t = 1-theta;
                         ca = t*t;
                         cb = 1-ca;
                         ctb= -t+ca;
                         cta=0;    
                 }
                 else {
                         ca =(1-theta),cb = theta,cta=ctb=0; // lagrange P1
                 }
                return A*ca + B*cb + tg[0]* cta + tg[1] * ctb;
          }
        /*}}}1*/
        /*FUNCTION GeometricalEdge::Set {{{1*/
        void GeometricalEdge::Set(const GeometricalEdge & rec,const Geometry & Gh ,Geometry & GhNew){ 
                *this = rec;
                v[0] = GhNew.vertices + Gh.GetId(v[0]);    
                v[1] = GhNew.vertices + Gh.GetId(v[1]); 
                if (Adj[0]) Adj[0] =  GhNew.edges + Gh.GetId(Adj[0]);     
                if (Adj[1]) Adj[1] =  GhNew.edges + Gh.GetId(Adj[1]);     
        }
        /*}}}*/

}