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Diffstat (limited to 'source/blender/freestyle/intern/stroke/Curve.cpp')
-rwxr-xr-xsource/blender/freestyle/intern/stroke/Curve.cpp863
1 files changed, 863 insertions, 0 deletions
diff --git a/source/blender/freestyle/intern/stroke/Curve.cpp b/source/blender/freestyle/intern/stroke/Curve.cpp
new file mode 100755
index 00000000000..4cca210161e
--- /dev/null
+++ b/source/blender/freestyle/intern/stroke/Curve.cpp
@@ -0,0 +1,863 @@
+
+//
+// Copyright (C) : Please refer to the COPYRIGHT file distributed
+// with this source distribution.
+//
+// This program is free software; you can redistribute it and/or
+// modify it under the terms of the GNU General Public License
+// as published by the Free Software Foundation; either version 2
+// of the License, or (at your option) any later version.
+//
+// This program is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with this program; if not, write to the Free Software
+// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+//
+///////////////////////////////////////////////////////////////////////////////
+
+#include "Curve.h"
+#include "CurveIterators.h"
+#include "CurveAdvancedIterators.h"
+
+ /**********************************/
+ /* */
+ /* */
+ /* CurvePoint */
+ /* */
+ /* */
+ /**********************************/
+
+CurvePoint::CurvePoint()
+{
+ __A=0;
+ __B=0;
+ _t2d=0;
+}
+
+CurvePoint::CurvePoint(SVertex *iA, SVertex *iB, float t)
+{
+ __A=iA;
+ __B=iB;
+ _t2d=t;
+ if((iA == 0) && (t == 1.f))
+ {
+ _Point2d=__B->point2d();
+ _Point3d=__B->point3d();
+ }
+ else if((iB == 0) && (t == 0.f))
+ {
+ _Point2d=__A->point2d();
+ _Point3d=__A->point3d();
+ }
+ else
+ {
+ _Point2d=__A->point2d()+_t2d*(__B->point2d()-__A->point2d());
+ _Point3d=__A->point3d()+_t2d*(__B->point3d()-__A->point3d());
+ }
+}
+
+CurvePoint::CurvePoint(CurvePoint *iA, CurvePoint *iB, float t3)
+{
+ __A = 0;
+ __B = 0;
+ float t1=iA->t2d();
+ float t2=iB->t2d();
+ if((iA->A() == iB->A()) && (iA->B() == iB->B()) && (iA->A() != 0) && (iA->B() != 0) && (iB->A() != 0) && (iB->B() != 0))
+ {
+ __A=iA->A();
+ __B=iB->B();
+ _t2d=t1+t2*t3-t1*t3;
+ }
+ else if((iA->B() == 0) && (iB->B() == 0))
+ {
+ __A = iA->A();
+ __B = iB->A();
+ _t2d = t3;
+ }
+ else if((iA->t2d() == 0) && (iB->t2d() == 0))
+ {
+ __A = iA->A();
+ __B = iB->A();
+ _t2d = t3;
+ }
+ else if(iA->A() == iB->A())
+ {
+iA_A_eq_iB_A:
+ if(iA->t2d() == 0){
+ __A = iB->A();
+ __B = iB->B();
+ _t2d = t3;
+ }else if(iB->t2d() == 0){
+ __A = iA->A();
+ __B = iA->B();
+ _t2d = t3;
+ }
+ }
+ else if(iA->B() == iB->B())
+ {
+iA_B_eq_iB_B:
+ if(iA->t2d() == 1){
+ __A = iB->A();
+ __B = iB->B();
+ _t2d = t3;
+ }else if(iB->t2d() == 1){
+ __A = iA->A();
+ __B = iA->B();
+ _t2d = t3;
+ }
+ }
+ else if(iA->B() == iB->A())
+ {
+iA_B_eq_iB_A:
+ if((iA->t2d() != 1.f) && (iB->t2d() == 0.f))
+ {
+ __A = iA->A();
+ __B = iA->B();
+ _t2d=t1+t3-t1*t3;
+ //_t2d = t3;
+ }
+ else if((iA->t2d() == 1.f) && (iB->t2d() != 0.f))
+ {
+ __A = iB->A();
+ __B = iB->B();
+ //_t2d = t3;
+ _t2d=t2*t3;
+ }
+ else if((iA->getPoint2D() - iA->getPoint2D()).norm() < 1e-6) {
+ __A = iB->A();
+ __B = iB->B();
+ //_t2d = t3;
+ _t2d=t2*t3;
+ }
+ }
+ else if(iA->A() != 0 && iB->A() != 0 && (iA->A()->point3d() - iB->A()->point3d()).norm() < 1e-6)
+ {
+ goto iA_A_eq_iB_A;
+ }
+ else if(iA->B() != 0 && iB->B() != 0 && (iA->B()->point3d() - iB->B()->point3d()).norm() < 1e-6)
+ {
+ goto iA_B_eq_iB_B;
+ }
+ else if(iA->B() != 0 && iB->A() != 0 && (iA->B()->point3d() - iB->A()->point3d()).norm() < 1e-6)
+ {
+ goto iA_B_eq_iB_A;
+ }
+ if (!__A || !__B) {
+ printf("iA A 0x%p p (%f, %f)\n", iA->A(), iA->A()->getPoint2D().x(), iA->A()->getPoint2D().y());
+ printf("iA B 0x%p p (%f, %f)\n", iA->B(), iA->B()->getPoint2D().x(), iA->B()->getPoint2D().y());
+ printf("iB A 0x%p p (%f, %f)\n", iB->A(), iB->A()->getPoint2D().x(), iB->A()->getPoint2D().y());
+ printf("iB B 0x%p p (%f, %f)\n", iB->B(), iB->B()->getPoint2D().x(), iB->B()->getPoint2D().y());
+ printf("iA t2d %f p (%f, %f)\n", iA->t2d(), iA->getPoint2D().x(), iA->getPoint2D().y());
+ printf("iB t2d %f p (%f, %f)\n", iB->t2d(), iB->getPoint2D().x(), iB->getPoint2D().y());
+ cerr << "Fatal error in CurvePoint::CurvePoint(CurvePoint *iA, CurvePoint *iB, float t3)" << endl;
+ }
+ assert(__A != 0 && __B != 0);
+
+ //_Point2d=__A->point2d()+_t2d*(__B->point2d()-__A->point2d());
+ //_Point3d=__A->point3d()+_t2d*(__B->point3d()-__A->point3d());
+
+ _Point2d= iA->point2d()+t3*(iB->point2d()-iA->point2d());
+ _Point3d=__A->point3d()+_t2d*(__B->point3d()-__A->point3d());
+}
+
+CurvePoint::CurvePoint(const CurvePoint& iBrother)
+{
+ __A=iBrother.__A;
+ __B=iBrother.__B;
+ _t2d=iBrother._t2d;
+ _Point2d=iBrother._Point2d;
+ _Point3d=iBrother._Point3d;
+}
+
+CurvePoint& CurvePoint::operator=(const CurvePoint& iBrother)
+{
+ __A=iBrother.__A;
+ __B=iBrother.__B;
+ _t2d=iBrother._t2d;
+ _Point2d=iBrother._Point2d;
+ _Point3d=iBrother._Point3d;
+ return *this;
+}
+
+
+FEdge *CurvePoint::fedge()
+{
+ if(getNature() & Nature::T_VERTEX)
+ return 0;
+ return __A->fedge();
+}
+
+
+FEdge* CurvePoint::getFEdge(Interface0D& inter)
+{
+ CurvePoint* iVertexB = dynamic_cast<CurvePoint*>(&inter);
+ if (!iVertexB) {
+ cerr << "Warning: CurvePoint::getFEdge() failed to cast the given 0D element to CurvePoint." << endl;
+ return 0;
+ }
+ if(((__A == iVertexB->__A) && (__B == iVertexB->__B))
+ ||
+ ((__A == iVertexB->__B) && (__B == iVertexB->__A)))
+ return __A->getFEdge(*__B);
+ if(__B == 0)
+ {
+ if(iVertexB->__B == 0)
+ return __A->getFEdge(*(iVertexB->__A));
+ else if(iVertexB->__A == __A)
+ return __A->getFEdge(*(iVertexB->__B));
+ else if(iVertexB->__B == __A)
+ return __A->getFEdge(*(iVertexB->__A));
+ }
+ if(iVertexB->__B == 0)
+ {
+ if(iVertexB->__A == __A)
+ return __B->getFEdge(*(iVertexB->__A));
+ else if(iVertexB->__A == __B)
+ return __A->getFEdge(*(iVertexB->__A));
+ }
+ if(__B == iVertexB->__A)
+ {
+ if((_t2d != 1) && (iVertexB->_t2d == 0))
+ return __A->getFEdge(*__B);
+ if((_t2d == 1) && (iVertexB->_t2d != 0))
+ return iVertexB->__A->getFEdge(*(iVertexB->__B));
+ }
+ if(__B == iVertexB->__B)
+ {
+ if((_t2d != 1) && (iVertexB->_t2d == 1))
+ return __A->getFEdge(*__B);
+ if((_t2d == 1) && (iVertexB->_t2d != 1))
+ return iVertexB->__A->getFEdge(*(iVertexB->__B));
+ }
+ if(__A == iVertexB->__A)
+ {
+ if((_t2d == 0) && (iVertexB->_t2d != 0))
+ return iVertexB->__A->getFEdge(*(iVertexB->__B));
+ if((_t2d != 0) && (iVertexB->_t2d == 0))
+ return __A->getFEdge(*__B);
+ }
+ if(__A == iVertexB->__B)
+ {
+ if((_t2d == 0) && (iVertexB->_t2d != 1))
+ return iVertexB->__A->getFEdge(*(iVertexB->__B));
+ if((_t2d != 0) && (iVertexB->_t2d == 1))
+ return __A->getFEdge(*__B);
+ }
+#if 0
+ printf("__A 0x%p p (%f, %f)\n", __A, __A->getPoint2D().x(), __A->getPoint2D().y());
+ printf("__B 0x%p p (%f, %f)\n", __B, __B->getPoint2D().x(), __B->getPoint2D().y());
+ printf("iVertexB->A() 0x%p p (%f, %f)\n", iVertexB->A(), iVertexB->A()->getPoint2D().x(), iVertexB->A()->getPoint2D().y());
+ printf("iVertexB->B() 0x%p p (%f, %f)\n", iVertexB->B(), iVertexB->B()->getPoint2D().x(), iVertexB->B()->getPoint2D().y());
+ printf("_t2d %f p (%f, %f)\n", _t2d, getPoint2D().x(), getPoint2D().y());
+ printf("iVertexB->t2d() %f p (%f, %f)\n", iVertexB->t2d(), iVertexB->getPoint2D().x(), iVertexB->getPoint2D().y());
+#endif
+ cerr << "Warning: CurvePoint::getFEdge() failed." << endl;
+
+ return 0;
+}
+
+
+ Vec3r CurvePoint::normal() const
+{
+ if(__B == 0)
+ return __A->normal();
+ if(__A == 0)
+ return __B->normal();
+ Vec3r Na = __A->normal();
+ if(Exception::getException())
+ Na = Vec3r(0,0,0);
+ Vec3r Nb = __B->normal();
+ if(Exception::getException())
+ Nb = Vec3r(0,0,0);
+ // compute t3d:
+ real t3d = SilhouetteGeomEngine::ImageToWorldParameter(__A->getFEdge(*__B),_t2d);
+ return ((1-t3d)*Na+t3d*Nb);
+}
+
+
+ // Material CurvePoint::material() const
+ //{
+ // if(__A == 0)
+ // return __B->material();
+ // return __A->material();
+ //}
+
+
+// Id CurvePoint::shape_id() const
+// {
+// if(__A == 0)
+// return __B->shape_id();
+// return __A->shape_id();
+// }
+
+
+ const SShape * CurvePoint::shape() const
+{
+ if(__A == 0)
+ return __B->shape();
+ return __A->shape();
+}
+
+
+
+// float CurvePoint::shape_importance() const
+// {
+
+// if(__A == 0)
+
+// return __B->shape_importance();
+// return __A->shape_importance();
+// }
+
+
+ // const unsigned CurvePoint::qi() const
+ //{
+ // if(__A == 0)
+ // return __B->qi();
+ // if(__B == 0)
+ // return __A->qi();
+ // return __A->getFEdge(*__B)->qi();
+ //}
+
+
+ occluder_container::const_iterator CurvePoint::occluders_begin() const
+{
+ if(__A == 0)
+ return __B->occluders_begin();
+ if(__B == 0)
+ return __A->occluders_begin();
+ return __A->getFEdge(*__B)->occluders_begin();
+}
+
+ occluder_container::const_iterator CurvePoint::occluders_end() const
+{
+ if(__A == 0)
+ return __B->occluders_end();
+ if(__B == 0)
+ return __A->occluders_end();
+ return __A->getFEdge(*__B)->occluders_end();
+}
+
+ bool CurvePoint::occluders_empty() const
+{
+ if(__A == 0)
+ return __B->occluders_empty();
+ if(__B == 0)
+ return __A->occluders_empty();
+ return __A->getFEdge(*__B)->occluders_empty();
+}
+
+ int CurvePoint::occluders_size() const
+{
+ if(__A == 0)
+ return __B->occluders_size();
+ if(__B == 0)
+ return __A->occluders_size();
+ return __A->getFEdge(*__B)->occluders_size();
+}
+
+ const SShape * CurvePoint::occluded_shape() const
+{
+ if(__A == 0)
+ return __B->occluded_shape();
+ if(__B == 0)
+ return __A->occluded_shape();
+ return __A->getFEdge(*__B)->occluded_shape();
+}
+
+ const Polygon3r& CurvePoint::occludee() const
+{
+ if(__A == 0)
+ return __B->occludee();
+ if(__B == 0)
+ return __A->occludee();
+ return __A->getFEdge(*__B)->occludee();
+}
+
+ const bool CurvePoint::occludee_empty() const
+{
+ if(__A == 0)
+ return __B->occludee_empty();
+ if(__B == 0)
+ return __A->occludee_empty();
+ return __A->getFEdge(*__B)->occludee_empty();
+}
+
+ real CurvePoint::z_discontinuity() const
+{
+ if(__A == 0)
+ return __B->z_discontinuity();
+ if(__B == 0)
+ return __A->z_discontinuity();
+ if(__A->getFEdge(*__B) == 0)
+ return 0.0;
+
+ return __A->getFEdge(*__B)->z_discontinuity();
+}
+//
+// float CurvePoint::local_average_depth() const
+//{
+// return local_average_depth_function<CurvePoint >(this);
+//}
+//
+// float CurvePoint::local_depth_variance() const
+//{
+// return local_depth_variance_function<CurvePoint >(this);
+//}
+//
+// real CurvePoint::local_average_density(float sigma) const
+//{
+// //return local_average_density<CurvePoint >(this);
+//
+// return density_function<CurvePoint >(this);
+//}
+// Vec3r shaded_color() const ;
+//
+// Vec3r CurvePoint::orientation2d() const
+// {
+// if(__A == 0)
+// return __B->orientation2d();
+// if(__B == 0)
+// return __A->orientation2d();
+// return __B->point2d()-__A->point2d();
+// }
+//
+// Vec3r CurvePoint::orientation3d() const
+// {
+// if(__A == 0)
+// return __B->orientation3d();
+// if(__B == 0)
+// return __A->orientation3d();
+// return __B->point3d()-__A->point3d();
+// }
+
+// real curvature2d() const {return viewedge()->curvature2d((_VertexA->point2d()+_VertexB->point2d())/2.0);}
+//
+// Vec3r CurvePoint::curvature2d_as_vector() const
+//{
+// // Vec3r edgeA = (_FEdges[0])->orientation2d().normalize();
+// // Vec3r edgeB = (_FEdges[1])->orientation2d().normalize();
+// // return edgeA+edgeB;
+// //
+// if(__A == 0)
+// return __B->curvature2d_as_vector();
+// if(__B == 0)
+// return __A->curvature2d_as_vector();
+// return ((1-_t2d)*__A->curvature2d_as_vector()+_t2d*__B->curvature2d_as_vector());
+//}
+//
+// real CurvePoint::curvature2d_as_angle() const
+//{
+// // Vec3r edgeA = (_FEdges[0])->orientation2d();
+// // Vec3r edgeB = (_FEdges[1])->orientation2d();
+// // Vec2d N1(-edgeA.y(), edgeA.x());N1.normalize();
+// // Vec2d N2(-edgeB.y(), edgeB.x());N2.normalize();
+// // return acos((N1*N2));
+//
+// if(__A == 0)
+// return __B->curvature2d_as_angle();
+// if(__B == 0)
+// return __A->curvature2d_as_angle();
+// return ((1-_t2d)*__A->curvature2d_as_angle()+_t2d*__B->curvature2d_as_angle());
+//}
+
+
+real CurvePoint::curvatureFredo() const
+{
+ if(__A == 0)
+ return __B->curvatureFredo();
+ if(__B == 0)
+ return __A->curvatureFredo();
+ return ((1-_t2d)*__A->curvatureFredo()+_t2d*__B->curvatureFredo());
+}
+
+Vec2d CurvePoint::directionFredo () const
+{
+ if(__A == 0)
+ return __B->directionFredo();
+ if(__B == 0)
+ return __A->directionFredo();
+ return ((1-_t2d)*__A->directionFredo()+_t2d*__B->directionFredo());
+}
+
+ /**********************************/
+ /* */
+ /* */
+ /* Curve */
+ /* */
+ /* */
+ /**********************************/
+
+/* for functions */
+
+
+Curve::~Curve()
+{
+ if(!_Vertices.empty())
+ {
+ for(vertex_container::iterator it=_Vertices.begin(), itend =_Vertices.end();
+ it!=itend;
+ ++it)
+ {
+ delete (*it);
+ }
+ _Vertices.clear();
+ }
+}
+
+/*! iterators access */
+Curve::point_iterator Curve::points_begin(float step)
+{
+ vertex_container::iterator second = _Vertices.begin();++second;
+ return point_iterator(_Vertices.begin(), second, _Vertices.begin(), _Vertices.end(), _nSegments, step, 0.f, 0.f);
+ //return point_iterator(_Vertices.begin(), second, _nSegments, step, 0.f, 0.f);
+}
+Curve::const_point_iterator Curve::points_begin(float step) const
+{
+ vertex_container::const_iterator second = _Vertices.begin();++second;
+ return const_point_iterator(_Vertices.begin(), second, _Vertices.begin(), _Vertices.end(), _nSegments, step, 0.f, 0.f);
+ //return const_point_iterator(_Vertices.begin(), second, _nSegments, step, 0.f, 0.f);
+}
+Curve::point_iterator Curve::points_end(float step)
+{
+ return point_iterator(_Vertices.end(), _Vertices.end(), _Vertices.begin(), _Vertices.end(), _nSegments, step, 1.f, _Length);
+ //return point_iterator(_Vertices.end(), _Vertices.end(), _nSegments, step, 1.f, _Length);
+}
+Curve::const_point_iterator Curve::points_end(float step) const
+{
+ return const_point_iterator(_Vertices.end(), _Vertices.end(), _Vertices.begin(), _Vertices.end(), _nSegments, step, 1.f, _Length);
+ //return const_point_iterator(_Vertices.end(), _Vertices.end(), _nSegments, step, 1.f, _Length);
+}
+
+// Adavnced Iterators access
+Curve::point_iterator Curve::vertices_begin(){return points_begin(0);}
+Curve::const_point_iterator Curve::vertices_begin() const {return points_begin(0);}
+Curve::point_iterator Curve::vertices_end(){return points_end(0);}
+Curve::const_point_iterator Curve::vertices_end() const {return points_end(0);}
+
+// specialized iterators access
+CurveInternal::CurvePointIterator Curve::curvePointsBegin(float t){
+ vertex_container::iterator second = _Vertices.begin();++second;
+ return CurveInternal::CurvePointIterator(_Vertices.begin(), second, _Vertices.begin(), _Vertices.end(), 0, _nSegments, _Length, t, 0.f, 0.f);
+}
+
+CurveInternal::CurvePointIterator Curve::curvePointsEnd(float t){
+ vertex_container::iterator last = _Vertices.end();--last;
+ return CurveInternal::CurvePointIterator(last, _Vertices.end(), _Vertices.begin(), _Vertices.end(), _nSegments, _nSegments, _Length, t, 0.f, _Length);
+}
+
+CurveInternal::CurvePointIterator Curve::curveVerticesBegin(){
+ return curvePointsBegin(0);
+}
+
+CurveInternal::CurvePointIterator Curve::curveVerticesEnd(){
+ return curvePointsEnd(0);
+}
+
+Interface0DIterator Curve::pointsBegin(float t){
+ vertex_container::iterator second = _Vertices.begin();++second;
+ Interface0DIterator ret(new CurveInternal::CurvePointIterator(_Vertices.begin(), second, _Vertices.begin(), _Vertices.end(), 0, _nSegments, _Length, t, 0.f, 0.f));
+ return ret;
+}
+
+Interface0DIterator Curve::pointsEnd(float t){
+ vertex_container::iterator last = _Vertices.end();--last;
+ Interface0DIterator ret(new CurveInternal::CurvePointIterator(last, _Vertices.end(), _Vertices.begin(), _Vertices.end(), _nSegments, _nSegments, _Length, t, 0.f, _Length));
+ return ret;
+}
+
+Interface0DIterator Curve::verticesBegin(){
+ return pointsBegin(0);
+}
+
+Interface0DIterator Curve::verticesEnd(){
+ return pointsEnd(0);
+}
+
+
+// Vec3r shaded_color(int iCombination = 0) const ;
+//
+// Vec3r Curve::orientation2d(point_iterator it) const
+//{
+// return (*it)->orientation2d();
+//}
+/* template <class BaseVertex> */
+/* Vec3r Curve::orientation2d(int iCombination) const */
+/* { */
+/* return edge_orientation2d_function<Curve >(this, iCombination); */
+/* } */
+//
+// Vec3r Curve::orientation3d(point_iterator it) const
+//{
+// return (*it)->orientation3d();
+//}
+/* */
+/* Vec3r Curve::orientation3d(int iCombination) const */
+/* { */
+/* return edge_orientation3d_function<Curve >(this, iCombination); */
+/* } */
+// real curvature2d(point_iterator it) const {return (*it)->curvature2d();}
+// real curvature2d(int iCombination = 0) const ;
+
+// Material Curve::material() const
+//{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// const Material& mat = (*v)->material();
+// for(;v!=vend;++v)
+// {
+// if((*v)->material() != mat)
+// Exception::raiseException();
+// }
+// return mat;
+//}
+
+// int Curve::qi() const
+//{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// int qi_= (*v)->qi();
+// for(;v!=vend;++v)
+// {
+// if((*v)->qi() != qi_)
+// Exception::raiseException();
+// }
+// return qi_;
+//}
+// occluder_container::const_iterator occluders_begin() const {return _FEdgeA->occluders().begin();}
+// occluder_container::const_iterator occluders_end() const {return _FEdgeA->occluders().end();}
+
+//int Curve::occluders_size() const
+//{
+// return qi();
+//}
+
+// bool Curve::occluders_empty() const
+//{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// bool empty = (*v)->occluders_empty();
+// for(;v!=vend;++v)
+// {
+// if((*v)->occluders_empty() != empty)
+// Exception::raiseException();
+// }
+// return empty;
+//}
+// const Polygon3r& occludee() const {return *(_FEdgeA->aFace());}
+
+// const SShape * Curve::occluded_shape() const
+//{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// const SShape *sshape = (*v)->occluded_shape();
+// for(;v!=vend;++v)
+// {
+// if((*v)->occluded_shape() != sshape)
+// Exception::raiseException();
+// }
+// return sshape;
+//}
+
+
+// const bool Curve::occludee_empty() const
+//{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// bool empty = (*v)->occludee_empty();
+// for(;v!=vend;++v)
+// {
+// if((*v)->occludee_empty() != empty)
+// Exception::raiseException();
+// }
+// return empty;
+//}
+/* */
+/* real Curve::z_discontinuity(int iCombination) const */
+/* { */
+/* return z_discontinuity_edge_function<Curve >(this, iCombination); */
+/* } */
+
+// int Curve::shape_id() const
+// {
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// Id id = (*v)->shape_id();
+// for(;v!=vend;++v)
+// {
+// if((*v)->shape_id() != id)
+// Exception::raiseException();
+// }
+// return id.first;
+// }
+
+
+// const SShape * Curve::shape() const
+//{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end();
+// const SShape *sshape = (*v)->shape();
+// for(;v!=vend;++v)
+// {
+// if((*v)->shape() != sshape)
+// Exception::raiseException();
+// }
+// return sshape;
+//}
+
+
+// occluder_container::const_iterator Curve::occluders_begin() const
+//{
+// const_vertex_iterator v=vertices_begin();
+// return (*v)->occluders_begin();
+//}
+//
+//
+// occluder_container::const_iterator Curve::occluders_end() const
+//{
+// const_vertex_iterator v=vertices_end();
+// return (*v)->occluders_end();
+//}
+
+/* */
+/* Vec3r Curve::curvature2d_as_vector(int iCombination) const */
+/* { */
+/* return curvature2d_as_vector_edge_function<Curve >(this, iCombination); */
+/* } */
+/* */
+/* real Curve::curvature2d_as_angle(int iCombination) const */
+/* { */
+/* return curvature2d_as_angle_edge_function<Curve >(this, iCombination); */
+/* } */
+
+/* */
+/* float Curve::shape_importance(int iCombination) const */
+/* { */
+/* return shape_importance_edge_function<Curve >(this, iCombination); */
+/* } */
+
+/* */
+/* float Curve::local_average_depth(int iCombination) const */
+/* { */
+/* return local_average_depth_edge_function<Curve >(this, iCombination); */
+/* } */
+/* */
+/* float Curve::local_depth_variance(int iCombination ) const */
+/* { */
+/* return local_depth_variance_edge_function<Curve >(this, iCombination); */
+/* // local_depth_variance_functor<Point> functor; */
+/* // float result; */
+/* // Evaluate<float, local_depth_variance_functor<Point> >(&functor, iCombination, result); */
+/* // return result; */
+/* } */
+
+/* */
+/* real Curve::local_average_density(float sigma, int iCombination ) const */
+/* { */
+/* return density_edge_function<Curve >(this, iCombination); */
+/* // density_functor<Point> functor; */
+/* // real result; */
+/* // Evaluate<real, density_functor<Point> >(&functor, iCombination, result); */
+/* // return result; */
+/* } */
+
+#define EPS_CURVA_DIR 0.01
+
+
+void Curve::computeCurvatureAndOrientation ()
+{
+// const_vertex_iterator v=vertices_begin(), vend=vertices_end(), v2, prevV, v0;
+// Vec2d p0, p1, p2;
+// Vec3r p;
+
+// p=(*v)->point2d();
+// p0=Vec2d(p[0], p[1]);
+// prevV=v; ++v;
+// p=(*v)->point2d();
+// p1=Vec2d(p[0], p[1]);
+// Vec2d prevDir(p1-p0);
+
+// for(;v!=vend;++v)
+// {
+// v2=v; ++v2;
+// if (v2==vend) break;
+// Vec3r p2=(*v2)->point2d();
+
+// Vec2d BA=p0-p1;
+// Vec2d BC=p2-p1;
+// real lba=BA.norm(), lbc=BC.norm();
+// BA.normalizeSafe();
+// BC.normalizeSafe();
+// Vec2d normalCurvature=BA+BC;
+// Vec2d dir=Vec2d(BC-BA);
+// Vec2d normal=Vec2d(-dir[1], dir[0]);
+
+// normal.normalizeSafe();
+// real curvature=normalCurvature*normal;
+// if (lba+lbc > MY_EPSILON)
+// curvature/=(0.5*lba+lbc);
+// if (dir.norm() < MY_EPSILON)
+// dir=0.1*prevDir;
+// (*v)->setCurvatureFredo(curvature);
+// (*v)->setDirectionFredo(dir);
+
+// prevV=v; p0=p1; p1=p2; prevDir=dir; prevDir.normalize();
+// }
+// (*v)->setCurvatureFredo((*prevV)->curvatureFredo());
+// (*v)->setDirectionFredo((*v)->point2d()-(*prevV)->point2d());
+// v0=vertices_begin(); v2=v0; ++v2;
+// (*v0)->setCurvatureFredo((*v2)->curvatureFredo());
+// (*v0)->setDirectionFredo((*v2)->point2d()-(*v0)->point2d());
+
+// //closed curve case one day...
+
+// //
+// return;
+
+// //numerical degeneracy verification.. we'll see later
+// const_vertex_iterator vLastReliable=vertices_begin();
+
+// v=vertices_begin();
+// p=(*v)->point2d();
+// p0=Vec2d(p[0], p[1]);
+// prevV=v; ++v;
+// p=(*v)->point2d();
+// p1=Vec2d(p[0], p[1]);
+// bool isReliable=false;
+// if ((p1-p0).norm>EPS_CURVA)
+// {
+// vLastReliable=v;
+// isReliable=true;
+// }
+
+// for(;v!=vend;++v)
+// {
+// v2=v; ++v2;
+// if (v2==vend) break;
+// Vec3r p2=(*v2)->point2d();
+
+// Vec2d BA=p0-p1;
+// Vec2d BC=p2-p1;
+// real lba=BA.norm(), lbc=BC.norm();
+
+// if ((lba+lbc)<EPS_CURVA)
+// {
+// isReliable=false;
+// cerr<<"/";
+// }
+// else
+// {
+// if (!isReliable)//previous points were not reliable
+// {
+// const_vertex_iterator vfix=vLastReliable;
+// vfix++;
+// for (; vfix!=v; ++vfix)
+// {
+// (*vfix)->setCurvatureFredo((*v)->curvatureFredo());
+// (*vfix)->setDirectionFredo((*v)->directionFredo());
+// }
+// }
+// isReliable=true;
+// vLastReliable=v;
+// }
+// prevV=v; p0=p1; p1=p2;
+// }
+
+}