Remove ancient trunk folder from svn repository
[synfig.git] / synfig-core / src / synfig / valuenode_bline.cpp
diff --git a/synfig-core/src/synfig/valuenode_bline.cpp b/synfig-core/src/synfig/valuenode_bline.cpp
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+/* === S Y N F I G ========================================================= */
+/*!    \file valuenode_bline.cpp
+**     \brief Implementation of the "BLine" valuenode conversion.
+**
+**     $Id$
+**
+**     \legal
+**     Copyright (c) 2002-2005 Robert B. Quattlebaum Jr., Adrian Bentley
+**     Copyright (c) 2007, 2008 Chris Moore
+**
+**     This package 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 package 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.
+**     \endlegal
+*/
+/* ========================================================================= */
+
+/* === H E A D E R S ======================================================= */
+
+#ifdef USING_PCH
+#      include "pch.h"
+#else
+#ifdef HAVE_CONFIG_H
+#      include <config.h>
+#endif
+
+#include "valuenode_bline.h"
+#include "valuenode_const.h"
+#include "valuenode_composite.h"
+#include "general.h"
+#include "exception.h"
+#include "blinepoint.h"
+#include <vector>
+#include <list>
+#include <algorithm>
+#include <ETL/hermite>
+#include <ETL/calculus>
+#include "segment.h"
+#include "curve_helper.h"
+
+#endif
+
+/* === U S I N G =========================================================== */
+
+using namespace std;
+using namespace etl;
+using namespace synfig;
+
+/* === M A C R O S ========================================================= */
+
+#define EPSILON 0.0000001f
+
+/* === G L O B A L S ======================================================= */
+
+/* === P R O C E D U R E S ================================================= */
+
+inline float
+linear_interpolation(const float& a, const float& b, float c)
+{ return (b-a)*c+a; }
+
+inline Vector
+linear_interpolation(const Vector& a, const Vector& b, float c)
+{ return (b-a)*c+a; }
+
+inline Vector
+radial_interpolation(const Vector& a, const Vector& b, float c)
+{
+       // if either extreme is zero then use linear interpolation instead
+       if (a.is_equal_to(Vector::zero()) || b.is_equal_to(Vector::zero()))
+               return linear_interpolation(a, b, c);
+
+       affine_combo<Real,float> mag_combo;
+       affine_combo<Angle,float> ang_combo;
+
+       Real mag(mag_combo(a.mag(),b.mag(),c));
+       Angle angle_a(Angle::tan(a[1],a[0]));
+       Angle angle_b(Angle::tan(b[1],b[0]));
+       float diff = Angle::deg(angle_b - angle_a).get();
+       if (diff < -180) angle_b += Angle::deg(360);
+       else if (diff > 180) angle_a += Angle::deg(360);
+       Angle ang(ang_combo(angle_a, angle_b, c));
+
+       return Point( mag*Angle::cos(ang).get(),mag*Angle::sin(ang).get() );
+}
+
+inline void
+transform_coords(Vector in, Vector& out, const Point& coord_origin, const Point *coord_sys)
+{
+       in -= coord_origin;
+       out[0] = in * coord_sys[0];
+       out[1] = in * coord_sys[1];
+}
+
+inline void
+untransform_coords(const Vector& in, Vector& out, const Point& coord_origin, const Point *coord_sys)
+{
+       out[0] = in * coord_sys[0];
+       out[1] = in * coord_sys[1];
+       out += coord_origin;
+}
+
+ValueBase
+synfig::convert_bline_to_segment_list(const ValueBase& bline)
+{
+       std::vector<Segment> ret;
+
+//     std::vector<BLinePoint> list(bline.operator std::vector<BLinePoint>());
+       //std::vector<BLinePoint> list(bline);
+       std::vector<BLinePoint> list(bline.get_list().begin(),bline.get_list().end());
+       std::vector<BLinePoint>::const_iterator iter;
+
+       BLinePoint prev,first;
+
+       //start with prev = first and iter on the second...
+
+       if(list.empty()) return ValueBase(ret,bline.get_loop());
+       first = prev = list.front();
+
+       for(iter=++list.begin();iter!=list.end();++iter)
+       {
+               ret.push_back(
+                       Segment(
+                               prev.get_vertex(),
+                               prev.get_tangent2(),
+                               iter->get_vertex(),
+                               iter->get_tangent1()
+                       )
+               );
+               prev=*iter;
+       }
+       if(bline.get_loop())
+       {
+               ret.push_back(
+                       Segment(
+                               prev.get_vertex(),
+                               prev.get_tangent2(),
+                               first.get_vertex(),
+                               first.get_tangent1()
+                       )
+               );
+       }
+       return ValueBase(ret,bline.get_loop());
+}
+
+ValueBase
+synfig::convert_bline_to_width_list(const ValueBase& bline)
+{
+       std::vector<Real> ret;
+//     std::vector<BLinePoint> list(bline.operator std::vector<BLinePoint>());
+       //std::vector<BLinePoint> list(bline);
+       std::vector<BLinePoint> list(bline.get_list().begin(),bline.get_list().end());
+       std::vector<BLinePoint>::const_iterator iter;
+
+       if(bline.empty())
+               return ValueBase(ValueBase::TYPE_LIST);
+
+       for(iter=list.begin();iter!=list.end();++iter)
+               ret.push_back(iter->get_width());
+
+       if(bline.get_loop())
+               ret.push_back(list.front().get_width());
+
+       return ValueBase(ret,bline.get_loop());
+}
+
+Real
+synfig::find_closest_point(const ValueBase &bline, const Point &pos, Real &radius, bool loop, Point *out_point)
+{
+       Real d,step;
+       float time = 0;
+       float best_time = 0;
+       int best_index = -1;
+       synfig::Point best_point;
+
+       if(radius==0)radius=10000000;
+       Real closest(10000000);
+
+       int i=0;
+       std::vector<BLinePoint> list(bline.get_list().begin(),bline.get_list().end());
+       typedef std::vector<BLinePoint>::const_iterator iterT;
+       iterT iter, prev, first;
+       for(iter=list.begin(); iter!=list.end(); ++i, ++iter)
+       {
+               if( first == iterT() )
+                       first = iter;
+
+               if( prev != iterT() )
+               {
+                       bezier<Point>   curve;
+
+                       curve[0] = (*prev).get_vertex();
+                       curve[1] = curve[0] + (*prev).get_tangent2()/3;
+                       curve[3] = (*iter).get_vertex();
+                       curve[2] = curve[3] - (*iter).get_tangent1()/3;
+                       curve.sync();
+
+                       #if 0
+                       // I don't know why this doesn't work
+                       time=curve.find_closest(pos,6);
+                       d=((curve(time)-pos).mag_squared());
+
+                       #else
+                       //set the step size based on the size of the picture
+                       d = (curve[1] - curve[0]).mag() + (curve[2]-curve[1]).mag()     + (curve[3]-curve[2]).mag();
+
+                       step = d/(2*radius); //want to make the distance between lines happy
+
+                       step = max(step,0.01); //100 samples should be plenty
+                       step = min(step,0.1); //10 is minimum
+
+                       d = find_closest(curve,pos,step,&closest,&time);
+                       #endif
+
+                       if(d < closest)
+                       {
+                               closest = d;
+                               best_time = time;
+                               best_index = i;
+                               best_point = curve(best_time);
+                       }
+
+               }
+
+               prev = iter;
+       }
+
+       // Loop if necessary
+       if( loop && ( first != iterT() ) && ( prev != iterT() ) )
+       {
+               bezier<Point>   curve;
+
+               curve[0] = (*prev).get_vertex();
+               curve[1] = curve[0] + (*prev).get_tangent2()/3;
+               curve[3] = (*first).get_vertex();
+               curve[2] = curve[3] - (*first).get_tangent1()/3;
+               curve.sync();
+
+               #if 0
+               // I don't know why this doesn't work
+               time=curve.find_closest(pos,6);
+               d=((curve(time)-pos).mag_squared());
+
+               #else
+               //set the step size based on the size of the picture
+               d = (curve[1] - curve[0]).mag() + (curve[2]-curve[1]).mag()     + (curve[3]-curve[2]).mag();
+
+               step = d/(2*radius); //want to make the distance between lines happy
+
+               step = max(step,0.01); //100 samples should be plenty
+               step = min(step,0.1); //10 is minimum
+
+                       d = find_closest(curve,pos,step,&closest,&time);
+               #endif
+
+               if(d < closest)
+               {
+                       closest = d;
+                       best_time = time;
+                       best_index = 0;
+                       best_point = curve(best_time);
+               }
+       }
+
+       if(best_index != -1)
+       {
+               if(out_point)
+                       *out_point = best_point;
+
+               int loop_adjust(loop ? 0 : -1);
+               int size = list.size();
+               Real amount = (best_index + best_time + loop_adjust) / (size + loop_adjust);
+               return amount;
+       }
+
+       return 0.0;
+
+}
+
+/* === M E T H O D S ======================================================= */
+
+
+ValueNode_BLine::ValueNode_BLine():
+       ValueNode_DynamicList(ValueBase::TYPE_BLINEPOINT)
+{
+}
+
+ValueNode_BLine::~ValueNode_BLine()
+{
+}
+
+ValueNode_BLine*
+ValueNode_BLine::create(const ValueBase &value)
+{
+       if(value.get_type()!=ValueBase::TYPE_LIST)
+               return 0;
+
+       ValueNode_BLine* value_node(new ValueNode_BLine());
+
+       if(!value.empty())
+       {
+               switch(value.get_contained_type())
+               {
+               case ValueBase::TYPE_BLINEPOINT:
+               {
+//                     std::vector<BLinePoint> bline_points(value.operator std::vector<BLinePoint>());
+                       //std::vector<BLinePoint> bline_points(value);
+                       std::vector<BLinePoint> bline_points(value.get_list().begin(),value.get_list().end());
+                       std::vector<BLinePoint>::const_iterator iter;
+
+                       for(iter=bline_points.begin();iter!=bline_points.end();iter++)
+                       {
+                               value_node->add(ValueNode::Handle(ValueNode_Composite::create(*iter)));
+                       }
+                       value_node->set_loop(value.get_loop());
+               }
+                       break;
+               case ValueBase::TYPE_SEGMENT:
+               {
+                       // Here, we want to convert a list of segments
+                       // into a list of BLinePoints. We make an assumption
+                       // that the segment list is continuous(sp), but not necessarily
+                       // smooth.
+
+                       value_node->set_loop(false);
+//                     std::vector<Segment> segments(value.operator std::vector<Segment>());
+//                     std::vector<Segment> segments(value);
+                       std::vector<Segment> segments(value.get_list().begin(),value.get_list().end());
+                       std::vector<Segment>::const_iterator iter,last(segments.end());
+                       --last;
+                       ValueNode_Const::Handle prev,first;
+
+                       for(iter=segments.begin();iter!=segments.end();iter++)
+                       {
+#define PREV_POINT     prev->get_value().get(BLinePoint())
+#define FIRST_POINT    first->get_value().get(BLinePoint())
+#define CURR_POINT     curr->get_value().get(BLinePoint())
+                               if(iter==segments.begin())
+                               {
+                                       prev=ValueNode_Const::create(ValueBase::TYPE_BLINEPOINT);
+                                       {
+                                               BLinePoint prev_point(PREV_POINT);
+                                               prev_point.set_vertex(iter->p1);
+                                               prev_point.set_tangent1(iter->t1);
+                                               prev_point.set_width(0.01);
+                                               prev_point.set_origin(0.5);
+                                               prev_point.set_split_tangent_flag(false);
+                                               prev->set_value(prev_point);
+                                       }
+                                       first=prev;
+                                       value_node->add(ValueNode::Handle(prev));
+
+                               }
+                               if(iter==last && iter->p2.is_equal_to(FIRST_POINT.get_vertex()))
+                               {
+                                       value_node->set_loop(true);
+                                       if(!iter->t2.is_equal_to(FIRST_POINT.get_tangent1()))
+                                       {
+                                               BLinePoint first_point(FIRST_POINT);
+                                               first_point.set_tangent1(iter->t2);
+                                               first->set_value(first_point);
+                                       }
+                                       continue;
+                               }
+
+                               ValueNode_Const::Handle curr;
+                               curr=ValueNode_Const::create(ValueBase::TYPE_BLINEPOINT);
+                               {
+                                       BLinePoint curr_point(CURR_POINT);
+                                       curr_point.set_vertex(iter->p2);
+                                       curr_point.set_tangent1(iter->t2);
+                                       curr_point.set_width(0.01);
+                                       curr_point.set_origin(0.5);
+                                       curr_point.set_split_tangent_flag(false);
+                                       curr->set_value(curr_point);
+                               }
+                               if(!PREV_POINT.get_tangent1().is_equal_to(iter->t1))
+                               {
+                                       BLinePoint prev_point(PREV_POINT);
+                                       prev_point.set_split_tangent_flag(true);
+                                       prev_point.set_tangent2(iter->t1);
+                                       prev->set_value(prev_point);
+                               }
+                               value_node->add(ValueNode::Handle(curr));
+                               prev=curr;
+                       }
+
+               }
+                       break;
+               default:
+                       // We got a list of who-knows-what. We don't have any idea
+                       // what to do with it.
+                       return 0;
+                       break;
+               }
+       }
+
+       return value_node;
+}
+
+ValueNode_BLine::ListEntry
+ValueNode_BLine::create_list_entry(int index, Time time, Real origin)
+{
+       ValueNode_BLine::ListEntry ret;
+
+       synfig::BLinePoint prev,next;
+
+       int prev_i,next_i;
+
+       index=index%link_count();
+
+       assert(index>=0);
+       ret.index=index;
+       ret.set_parent_value_node(this);
+
+       if(!list[index].status_at_time(time))
+               next_i=find_next_valid_entry(index,time);
+       else
+               next_i=index;
+       prev_i=find_prev_valid_entry(index,time);
+
+       //synfig::info("index=%d, next_i=%d, prev_i=%d",index,next_i,prev_i);
+
+       next=(*list[next_i].value_node)(time);
+       prev=(*list[prev_i].value_node)(time);
+
+       etl::hermite<Vector> curve(prev.get_vertex(),next.get_vertex(),prev.get_tangent2(),next.get_tangent1());
+       etl::derivative< etl::hermite<Vector> > deriv(curve);
+
+       synfig::BLinePoint bline_point;
+       bline_point.set_vertex(curve(origin));
+       bline_point.set_width((next.get_width()-prev.get_width())*origin+prev.get_width());
+       bline_point.set_tangent1(deriv(origin)*min(1.0-origin,origin));
+       bline_point.set_tangent2(bline_point.get_tangent1());
+       bline_point.set_split_tangent_flag(false);
+       bline_point.set_origin(origin);
+
+       ret.value_node=ValueNode_Composite::create(bline_point);
+
+       return ret;
+}
+
+static int instance_count;
+
+ValueBase
+ValueNode_BLine::operator()(Time t)const
+{
+       if (getenv("SYNFIG_DEBUG_VALUENODE_OPERATORS"))
+               printf("%s:%d operator()\n", __FILE__, __LINE__);
+
+       std::vector<BLinePoint> ret_list;
+
+       std::vector<ListEntry>::const_iterator iter,first_iter;
+       bool first_flag(true);
+       bool rising;
+       int index(0);
+       float next_scale(1.0f);
+
+       BLinePoint prev,first;
+       first.set_origin(100.0f);
+
+       // loop through all the list's entries
+       for(iter=list.begin();iter!=list.end();++iter,index++)
+       {
+               // how 'on' is this vertex?
+               float amount(iter->amount_at_time(t,&rising));
+
+               assert(amount>=0.0f);
+               assert(amount<=1.0f);
+
+               // it's fully on
+               if (amount > 1.0f - EPSILON)
+               {
+                       if(first_flag)
+                       {
+                               first_iter=iter;
+                               first=prev=(*iter->value_node)(t).get(prev);
+                               first_flag=false;
+                               ret_list.push_back(first);
+                               continue;
+                       }
+
+                       BLinePoint curr;
+                       curr=(*iter->value_node)(t).get(prev);
+
+                       if(next_scale!=1.0f)
+                       {
+                               ret_list.back().set_split_tangent_flag(true);
+                               ret_list.back().set_tangent2(prev.get_tangent2()*next_scale);
+
+                               ret_list.push_back(curr);
+
+                               ret_list.back().set_split_tangent_flag(true);
+                               ret_list.back().set_tangent2(curr.get_tangent2());
+                               ret_list.back().set_tangent1(curr.get_tangent1()*next_scale);
+
+                               next_scale=1.0f;
+                       }
+                       else
+                       {
+                               ret_list.push_back(curr);
+                       }
+
+                       prev=curr;
+               }
+               // it's partly on
+               else if(amount>0.0f)
+               {
+                       std::vector<ListEntry>::const_iterator begin_iter,end_iter;
+
+                       // This is where the interesting stuff happens
+                       // We need to seek forward in the list to see what the next
+                       // active point is
+
+                       BLinePoint blp_here_on;  // the current vertex, when fully on
+                       BLinePoint blp_here_off; // the current vertex, when fully off
+                       BLinePoint blp_here_now; // the current vertex, right now (between on and off)
+                       BLinePoint blp_prev_off; // the beginning of dynamic group when fully off
+                       BLinePoint blp_next_off; // the end of the dynamic group when fully off
+
+                       int dist_from_begin(0), dist_from_end(0);
+                       Time off_time, on_time;
+
+                       if(!rising)     // if not rising, then we were fully on in the past, and will be fully off in the future
+                       {
+                               try{ on_time=iter->find_prev(t)->get_time(); }
+                               catch(...) { on_time=Time::begin(); }
+                               try{ off_time=iter->find_next(t)->get_time(); }
+                               catch(...) { off_time=Time::end(); }
+                       }
+                       else // otherwise we were fully off in the past, and will be fully on in the future
+                       {
+                               try{ off_time=iter->find_prev(t)->get_time(); }
+                               catch(...) { off_time=Time::begin(); }
+                               try{ on_time=iter->find_next(t)->get_time(); }
+                               catch(...) { on_time=Time::end(); }
+                       }
+
+                       blp_here_on=(*iter->value_node)(on_time).get(blp_here_on);
+//                     blp_here_on=(*iter->value_node)(t).get(blp_here_on);
+
+                       // Find "end" of dynamic group - ie. search forward along
+                       // the bline from the current point until we find a point
+                       // which is more 'on' than the current one
+                       end_iter=iter;
+//                     for(++end_iter;begin_iter!=list.end();++end_iter)
+                       for(++end_iter;end_iter!=list.end();++end_iter)
+                               if(end_iter->amount_at_time(t)>amount)
+                                       break;
+
+                       // If we did not find an end of the dynamic group...
+                       // Writeme!  at least now it doesn't crash if first_iter
+                       // isn't set yet
+                       if(end_iter==list.end())
+                       {
+                               if(get_loop() && !first_flag)
+                                       end_iter=first_iter;
+                               else
+                                       end_iter=--list.end();
+                       }
+
+                       blp_next_off=(*end_iter->value_node)(off_time).get(prev);
+
+                       // Find "begin" of dynamic group
+                       begin_iter=iter;
+                       blp_prev_off.set_origin(100.0f); // set the origin to 100 (which is crazy) so that we can check to see if it was found
+                       do
+                       {
+                               if(begin_iter==list.begin())
+                               {
+                                       if(get_loop())
+                                               begin_iter=list.end();
+                                       else
+                                               break;
+                               }
+
+                               --begin_iter;
+                               dist_from_begin++;
+
+                               // if we've gone all around the loop, give up
+                               if(begin_iter==iter)
+                                       break;
+
+                               if(begin_iter->amount_at_time(t)>amount)
+                               {
+                                       blp_prev_off=(*begin_iter->value_node)(off_time).get(prev);
+                                       break;
+                               }
+                       }while(true);
+
+                       // If we did not find a begin
+                       if(blp_prev_off.get_origin()==100.0f)
+                       {
+                               // Writeme! - this needs work, but at least now it
+                               // doesn't crash
+                               if(first_flag)
+                                       begin_iter=list.begin();
+                               else
+                                       begin_iter=first_iter;
+                               blp_prev_off=(*begin_iter->value_node)(off_time).get(prev);
+                       }
+
+                       // this is how the curve looks when we have completely vanished
+                       etl::hermite<Vector> curve(blp_prev_off.get_vertex(),   blp_next_off.get_vertex(),
+                                                                          blp_prev_off.get_tangent2(), blp_next_off.get_tangent1());
+                       etl::derivative< etl::hermite<Vector> > deriv(curve);
+
+                       // where would we be on this curve, how wide will we be, and
+                       // where will our tangents point (all assuming that we hadn't vanished)
+                       blp_here_off.set_vertex(curve(blp_here_on.get_origin()));
+                       blp_here_off.set_width((blp_next_off.get_width()-blp_prev_off.get_width())*blp_here_on.get_origin()+blp_prev_off.get_width());
+                       blp_here_off.set_tangent1(deriv(blp_here_on.get_origin()));
+                       blp_here_off.set_tangent2(deriv(blp_here_on.get_origin()));
+
+                       float prev_tangent_scalar(1.0f);
+                       float next_tangent_scalar(1.0f);
+
+                       //synfig::info("index_%d:dist_from_begin=%d",index,dist_from_begin);
+                       //synfig::info("index_%d:dist_from_end=%d",index,dist_from_end);
+
+                       // If we are the next to the begin
+                       if(begin_iter==--std::vector<ListEntry>::const_iterator(iter) || dist_from_begin==1)
+                               prev_tangent_scalar=linear_interpolation(blp_here_on.get_origin(), 1.0f, amount);
+                       else
+                               prev_tangent_scalar=linear_interpolation(blp_here_on.get_origin()-prev.get_origin(), 1.0f, amount);
+
+                       // If we are the next to the end
+                       if(end_iter==++std::vector<ListEntry>::const_iterator(iter) || dist_from_end==1)
+                               next_tangent_scalar=linear_interpolation(1.0-blp_here_on.get_origin(), 1.0f, amount);
+                       else if(list.end()!=++std::vector<ListEntry>::const_iterator(iter))
+                       {
+                               BLinePoint next;
+                               next=((*(++std::vector<ListEntry>::const_iterator(iter))->value_node)(t).get(prev));
+                               next_tangent_scalar=linear_interpolation(next.get_origin()-blp_here_on.get_origin(), 1.0f, amount);
+                       }
+                       else
+                               //! \todo this isn't quite right; we should handle looped blines identically no matter where the loop happens
+                               //! and we currently don't.  this at least makes it a lot better than it was before
+                               next_tangent_scalar=linear_interpolation(blp_next_off.get_origin()-blp_here_on.get_origin(), 1.0f, amount);
+                       next_scale=next_tangent_scalar;
+
+                       //blp_here_now.set_vertex(linear_interpolation(blp_here_off.get_vertex(), blp_here_on.get_vertex(), amount));
+                       // if(false)
+                       // {
+                       //      // My first try
+                       //      Point ref_point_begin(((*begin_iter->value_node)(off_time).get(prev).get_vertex() +
+                       //                                                 (*end_iter->value_node)(off_time).get(prev).get_vertex()) * 0.5);
+                       //      Point ref_point_end(((*begin_iter->value_node)(on_time).get(prev).get_vertex() +
+                       //                                               (*end_iter->value_node)(on_time).get(prev).get_vertex()) * 0.5);
+                       //      Point ref_point_now(((*begin_iter->value_node)(t).get(prev).get_vertex() +
+                       //                                               (*end_iter->value_node)(t).get(prev).get_vertex()) * 0.5);
+                       //      Point ref_point_linear(linear_interpolation(ref_point_begin, ref_point_end, amount));
+                       //
+                       //      blp_here_now.set_vertex(linear_interpolation(blp_here_off.get_vertex(), blp_here_on.get_vertex(), amount) +
+                       //                                                      (ref_point_now-ref_point_linear));
+                       //      blp_here_now.set_tangent1(linear_interpolation(blp_here_off.get_tangent1(), blp_here_on.get_tangent1(), amount));
+                       //      blp_here_now.set_split_tangent_flag(blp_here_on.get_split_tangent_flag());
+                       //      if(blp_here_now.get_split_tangent_flag())
+                       //              blp_here_now.set_tangent2(linear_interpolation(blp_here_off.get_tangent2(), blp_here_on.get_tangent2(), amount));
+                       // }
+                       // else
+                       {
+                               // My second try
+
+                               // define 3 coordinate systems:
+                               Point off_coord_sys[2],   off_coord_origin; // when the current vertex is completely off
+                               Point on_coord_sys[2] ,    on_coord_origin; // when the current vertex is completely on
+                               Point curr_coord_sys[2], curr_coord_origin; // the current state - somewhere in between
+
+                               // for each of the 3 systems, the origin is half way between the previous and next active point
+                               // and the axes are based on a vector from the next active point to the previous
+                               {
+                                       const Point   end_pos_at_off_time((  *end_iter->value_node)(off_time).get(prev).get_vertex());
+                                       const Point begin_pos_at_off_time((*begin_iter->value_node)(off_time).get(prev).get_vertex());
+                                       off_coord_origin=(begin_pos_at_off_time + end_pos_at_off_time)/2;
+                                       off_coord_sys[0]=(begin_pos_at_off_time - end_pos_at_off_time).norm();
+                                       off_coord_sys[1]=off_coord_sys[0].perp();
+
+                                       const Point   end_pos_at_on_time((  *end_iter->value_node)(on_time).get(prev).get_vertex());
+                                       const Point begin_pos_at_on_time((*begin_iter->value_node)(on_time).get(prev).get_vertex());
+                                       on_coord_origin=(begin_pos_at_on_time + end_pos_at_on_time)/2;
+                                       on_coord_sys[0]=(begin_pos_at_on_time - end_pos_at_on_time).norm();
+                                       on_coord_sys[1]=on_coord_sys[0].perp();
+
+                                       const Point   end_pos_at_current_time((  *end_iter->value_node)(t).get(prev).get_vertex());
+                                       const Point begin_pos_at_current_time((*begin_iter->value_node)(t).get(prev).get_vertex());
+                                       curr_coord_origin=(begin_pos_at_current_time + end_pos_at_current_time)/2;
+                                       curr_coord_sys[0]=(begin_pos_at_current_time - end_pos_at_current_time).norm();
+                                       curr_coord_sys[1]=curr_coord_sys[0].perp();
+
+                                       // Invert (transpose) the last of these matrices, since we use it for transform back
+                                       swap(curr_coord_sys[0][1],curr_coord_sys[1][0]);
+                               }
+
+                               /* The code that was here before used just end_iter as the origin, rather than the mid-point */
+
+                               // We know our location and tangent(s) when fully on and fully off
+                               // Transform each of these into their corresponding coordinate system
+                               Point trans_on_point, trans_off_point;
+                               Vector trans_on_t1, trans_on_t2, trans_off_t1, trans_off_t2;
+
+                               transform_coords(blp_here_on.get_vertex(),  trans_on_point,  on_coord_origin,  on_coord_sys);
+                               transform_coords(blp_here_off.get_vertex(), trans_off_point, off_coord_origin, off_coord_sys);
+
+#define COORD_SYS_RADIAL_TAN_INTERP 1
+
+#ifdef COORD_SYS_RADIAL_TAN_INTERP
+                               transform_coords(blp_here_on.get_tangent1(),  trans_on_t1,  Point::zero(), on_coord_sys);
+                               transform_coords(blp_here_off.get_tangent1(), trans_off_t1, Point::zero(), off_coord_sys);
+
+                               if(blp_here_on.get_split_tangent_flag())
+                               {
+                                       transform_coords(blp_here_on.get_tangent2(),  trans_on_t2,  Point::zero(), on_coord_sys);
+                                       transform_coords(blp_here_off.get_tangent2(), trans_off_t2, Point::zero(), off_coord_sys);
+                               }
+#endif
+
+                               {
+                                       // Interpolate between the 'on' point and the 'off' point and untransform to get our point's location
+                                       Point tmp;
+                                       untransform_coords(linear_interpolation(trans_off_point, trans_on_point, amount),
+                                                                          tmp, curr_coord_origin, curr_coord_sys);
+                                       blp_here_now.set_vertex(tmp);
+                               }
+
+#define INTERP_FUNCTION                radial_interpolation
+//#define INTERP_FUNCTION      linear_interpolation
+
+#ifdef COORD_SYS_RADIAL_TAN_INTERP
+                               {
+                                       Vector tmp;
+                                       untransform_coords(INTERP_FUNCTION(trans_off_t1,trans_on_t1,amount), tmp, Point::zero(), curr_coord_sys);
+                                       blp_here_now.set_tangent1(tmp);
+                               }
+#else
+                               blp_here_now.set_tangent1(radial_interpolation(blp_here_off.get_tangent1(),blp_here_on.get_tangent1(),amount));
+#endif
+
+                               if (blp_here_on.get_split_tangent_flag())
+                               {
+                                       blp_here_now.set_split_tangent_flag(true);
+#ifdef COORD_SYS_RADIAL_TAN_INTERP
+                                       {
+                                               Vector tmp;
+                                               untransform_coords(INTERP_FUNCTION(trans_off_t2,trans_on_t2,amount), tmp, Point::zero(), curr_coord_sys);
+                                               blp_here_now.set_tangent2(tmp);
+                                       }
+#else
+                                       blp_here_now.set_tangent2(radial_interpolation(blp_here_off.get_tangent2(),blp_here_on.get_tangent2(),amount));
+#endif
+                               }
+                               else
+                                       blp_here_now.set_split_tangent_flag(false);
+                       }
+
+                       blp_here_now.set_origin(blp_here_on.get_origin());
+                       blp_here_now.set_width(linear_interpolation(blp_here_off.get_width(), blp_here_on.get_width(), amount));
+
+                       // Handle the case where we are the first vertex
+                       if(first_flag)
+                       {
+                               blp_here_now.set_tangent1(blp_here_now.get_tangent1()*prev_tangent_scalar);
+                               first_iter=iter;
+                               first=prev=blp_here_now;
+                               first_flag=false;
+                               ret_list.push_back(blp_here_now);
+                               continue;
+                       }
+
+                       ret_list.back().set_split_tangent_flag(true);
+                       ret_list.back().set_tangent2(prev.get_tangent2()*prev_tangent_scalar);
+                       ret_list.push_back(blp_here_now);
+                       ret_list.back().set_split_tangent_flag(true);
+                       //ret_list.back().set_tangent2(blp_here_now.get_tangent1());
+                       ret_list.back().set_tangent1(blp_here_now.get_tangent1()*prev_tangent_scalar);
+
+                       prev=blp_here_now;
+               }
+       }
+
+       if(next_scale!=1.0f)
+       {
+               ret_list.back().set_split_tangent_flag(true);
+               ret_list.back().set_tangent2(prev.get_tangent2()*next_scale);
+       }
+
+/*
+       if(get_loop() && !first_flag)
+       {
+               ret_list.push_back(
+                       Segment(
+                       prev.get_vertex(),
+                       prev.get_tangent2(),
+                       first.get_vertex(),
+                       first.get_tangent1()
+                       )
+               );
+       }
+*/
+
+       if(list.empty())
+               synfig::warning(string("ValueNode_BLine::operator()():")+_("No entries in list"));
+       else
+       if(ret_list.empty())
+               synfig::warning(string("ValueNode_BLine::operator()():")+_("No entries in ret_list"));
+
+       return ValueBase(ret_list,get_loop());
+}
+
+String
+ValueNode_BLine::link_local_name(int i)const
+{
+       assert(i>=0 && (unsigned)i<list.size());
+       return etl::strprintf(_("Vertex %03d"),i+1);
+}
+
+String
+ValueNode_BLine::get_name()const
+{
+       return "bline";
+}
+
+String
+ValueNode_BLine::get_local_name()const
+{
+       return _("BLine");
+}
+
+LinkableValueNode*
+ValueNode_BLine::create_new()const
+{
+       return new ValueNode_BLine();
+}
+
+bool
+ValueNode_BLine::check_type(ValueBase::Type type)
+{
+       return type==ValueBase::TYPE_LIST;
+}