[3913] | 1 | #include <cstdio>
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| 2 | #include <string.h>
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| 3 | #include <cmath>
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| 4 |
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| 5 | #include "../../include/include.h"
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| 6 | #include "../../shared/Exceptions/exceptions.h"
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| 7 |
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| 8 | #include "GeometricalEdge.h"
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| 9 | #include "Geometry.h"
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| 10 |
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| 11 | using namespace std;
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| 12 |
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| 13 | namespace bamg {
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| 14 |
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| 15 | /*Constructor/Destructor*/
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| 16 |
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| 17 | /*Methods*/
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| 18 | /*FUNCTION GeometricalEdge::R1tg{{{1*/
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| 19 | double GeometricalEdge::R1tg(double theta,R2 & t) const{
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| 20 | /*Original code from Frederic Hecht <hecht@ann.jussieu.fr> (BAMG v1.01, MeshGeom.cpp/R1tg)*/
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| 21 | // 1/R of radius of cuvature
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| 22 |
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| 23 | R2 A=v[0]->r,B=v[1]->r;
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| 24 | double dca,dcb,dcta,dctb;
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| 25 | double ddca,ddcb,ddcta,ddctb;
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| 26 | double tt = theta*theta;
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| 27 |
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| 28 | //check theta
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| 29 | ISSMASSERT(theta>=0 && theta<=1);
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| 30 |
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| 31 | if (TgA()){
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| 32 | if (TgB()){
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| 33 | // Tangent A and B provided:
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| 34 | // interpolation d'hermite
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| 35 | dcb = 6*theta*(1-theta);
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| 36 | ddcb = 6*(1-2*theta);
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| 37 | dca = -dcb;
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| 38 | ddca = -ddcb;
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| 39 | dcta = (3*theta - 4)*theta + 1;
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| 40 | ddcta=6*theta-4;
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| 41 | dctb = 3*tt - 2*theta;
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| 42 | ddctb = 6*theta-2;
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| 43 | }
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| 44 | else {
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| 45 | //Tangent A provided but tangent B not provided
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| 46 | // 1-t*t, t-t*t, t*t
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| 47 | double t = theta;
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| 48 | dcb = 2*t;
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| 49 | ddcb = 2;
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| 50 | dca = -dcb;
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| 51 | ddca = -2;
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| 52 | dcta = 1-dcb;
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| 53 | ddcta = -ddcb;
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| 54 | dctb=0;
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| 55 | ddctb=0;
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| 56 | }
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| 57 | }
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| 58 | else{
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| 59 | if (TgB()){
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| 60 | //Tangent B provided but tangent A not provided
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| 61 | double t = 1-theta;
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| 62 | dca = -2*t;
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| 63 | ddca = 2;
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| 64 | dcb = -dca;
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| 65 | ddcb = -2;
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| 66 | dctb = 1+dca;
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| 67 | ddctb= ddca;
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| 68 | dcta =0;
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| 69 | ddcta =0;
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| 70 | }
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| 71 | else {
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| 72 | //Neither thangent A nor tangent B provided
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| 73 | // lagrange P1
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| 74 | t=B-A;
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| 75 | return 0;
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| 76 | }
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| 77 | }
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| 78 | R2 d = A*dca + B*dcb + tg[0]* dcta + tg[1] * dctb;
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| 79 | R2 dd = A*ddca + B*ddcb + tg[0]* ddcta + tg[1] * ddctb;
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| 80 | double d2=(d,d);
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| 81 | double sd2 = sqrt(d2);
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| 82 | t=d;
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| 83 | if(d2>1.0e-20){
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| 84 | t/=sd2;
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| 85 | return Abs(Det(d,dd))/(d2*sd2);
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| 86 | }
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| 87 | else return 0;
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| 88 | }
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| 89 | /*}}}1*/
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| 90 | /*FUNCTION GeometricalEdge::F{{{1*/
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| 91 | R2 GeometricalEdge::F(double theta) const{
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| 92 | /*Original code from Frederic Hecht <hecht@ann.jussieu.fr> (BAMG v1.01, MeshGeom.cpp/F)*/
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| 93 | // parametrization of the curve edge
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| 94 |
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| 95 | R2 A=v[0]->r,B=v[1]->r;
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| 96 | double ca,cb,cta,ctb;
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| 97 | if ( theta<-1e-12){
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| 98 | ISSMERROR("theta<-1e-12");
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| 99 | }
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| 100 | if ( theta>1+1e-12){
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| 101 | ISSMERROR("theta>1+1e-12");
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| 102 | }
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| 103 | if (TgA())
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| 104 | if (TgB()) // interpolation d'hermite
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| 105 | { cb = theta*theta*(3-2*theta);
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| 106 | ca = 1-cb;
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| 107 | cta = (1-theta)*(1-theta)*theta;
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| 108 | ctb = (theta-1)*theta*theta ;
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| 109 | }
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| 110 | else { // 1-t*t, t-t*t, t*t
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| 111 | double t = theta;
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| 112 | cb = t*t;
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| 113 | ca = 1-cb;
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| 114 | cta= t-cb;
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| 115 | ctb=0;
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| 116 | }
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| 117 | else
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| 118 | if (TgB()){
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| 119 | double t = 1-theta;
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| 120 | ca = t*t;
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| 121 | cb = 1-ca;
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| 122 | ctb= -t+ca;
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| 123 | cta=0;
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| 124 | }
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| 125 | else {
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| 126 | ca =(1-theta),cb = theta,cta=ctb=0; // lagrange P1
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| 127 | }
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| 128 | return A*ca + B*cb + tg[0]* cta + tg[1] * ctb;
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| 129 | }
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| 130 | /*}}}1*/
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| 131 | /*FUNCTION GeometricalEdge::Set {{{1*/
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| 132 | void GeometricalEdge::Set(const GeometricalEdge & rec,const Geometry & Gh ,Geometry & GhNew){
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| 133 | *this = rec;
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[5149] | 134 | v[0] = GhNew.vertices + Gh.GetId(v[0]);
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| 135 | v[1] = GhNew.vertices + Gh.GetId(v[1]);
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| 136 | if (Adj[0]) Adj[0] = GhNew.edges + Gh.GetId(Adj[0]);
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| 137 | if (Adj[1]) Adj[1] = GhNew.edges + Gh.GetId(Adj[1]);
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[3913] | 138 | }
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| 139 | /*}}}*/
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| 140 |
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| 141 | }
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