// SPDX-License-Identifier: GPL-2.0-or-later
/** @file
 * TODO: insert short description here
 *//*
 * Authors:
 * see git history
 * Fred
 *
 * Copyright (C) 2018 Authors
 * Released under GNU GPL v2+, read the file 'COPYING' for more information.
 */

#include <glib.h>
#include <2geom/transforms.h>
#include "Path.h"
#include "Shape.h"
#include "livarot/path-description.h"

/*
 * path description -> polyline
 * and Path -> Shape (the Fill() function at the bottom)
 * nathing fancy here: take each command and append an approximation of it to the polyline
 */

void Path::ConvertWithBackData(double treshhold)
{
    // if a quadratic Bezier spline was being added (Path::BezierTo or Path::TempBezierTo
    // were called and Path::EndBezierTo hasn't been called yet), cancel it
    if ( descr_flags & descr_adding_bezier ) {
        CancelBezier();
    }

    // are we doing a sub path? if yes, clear the flags. CloseSubPath just clears the flags
    // it doesn't close a sub path
    if ( descr_flags & descr_doing_subpath ) {
        CloseSubpath();
    }

    // set the backdata flag to true since this function will be calculating and storing backdata stuff
    SetBackData(true);
    // clears any pre-existing polyline approximation stuff
    ResetPoints();

    // nothing to approximate so return
    if ( descr_cmd.empty() ) {
        return;
    }

    Geom::Point curX; // the last point added
    // the description to process. We start with 1 usually since the first is always a MoveTo that
    // we handle before the loop (see below). In the case that the first is not a moveTo, We set
    // curP to 0.
    int curP = 1;
    // index of the last moveto point. Useful when a close path command is encountered.
    int lastMoveTo = -1;

    // The initial moveto.
    // if the first command is a moveTo, set that as the lastPoint (curX) otherwise add a point at
    // the origin as a moveTo.
    {
        int const firstTyp = descr_cmd[0]->getType();
        if ( firstTyp == descr_moveto ) {
            curX = dynamic_cast<PathDescrMoveTo *>(descr_cmd[0])->p;
        } else {
            curP = 0;
            curX[Geom::X] = curX[Geom::Y] = 0;
        }
        // tiny detail to see here is that piece (the index of the path command this point comes from) is set to 0 which
        // may or may not be true. If there was not a MoveTo, index 0 can have other description types.
        lastMoveTo = AddPoint(curX, 0, 0.0, true);
    }

    // And the rest, one by one.
    // within this loop, curP holds the current path command index, curX holds the last point added
    while ( curP < int(descr_cmd.size()) ) {

        int const nType = descr_cmd[curP]->getType();
        Geom::Point nextX;

        switch (nType) {
            case descr_forced: {
                // just add a forced point (at the last point added). These arguments are useless by the way.
                AddForcedPoint(curX, curP, 1.0);
                curP++;
                break;
            }

            case descr_moveto: {
                PathDescrMoveTo *nData = dynamic_cast<PathDescrMoveTo*>(descr_cmd[curP]);
                nextX = nData->p;
                // add the moveTo point and also store this in lastMoveTo
                lastMoveTo = AddPoint(nextX, curP, 0.0, true);
                // et on avance
                curP++;
                break;
            }

            case descr_close: {
                // add the lastMoveTo point again
                nextX = pts[lastMoveTo].p;
                int n = AddPoint(nextX, curP, 1.0, false);
                // we check if n > 0 because in some cases the last point has already been added so AddPoint would
                // return -1 .. but then that last point won't get marked with closed = true .. I wonder if that would cause
                // problems. Just to explain this say:
                // MoveTo(0, 0); LineTo(10, 0); LineTo(10, 10); LineTo(0, 10); LineTo(0, 0); Close();
                // LineTo(0, 0) would have already added a point at origin. So AddPoint won't add anything. But my point is that
                // then the last point (0,0) won't get marked as closed = true which it should be.
                // But then maybe this doesn't matter because closed variable is barely used.
                if (n > 0) pts[n].closed = true;
                curP++;
                break;
            }

            case descr_lineto: {
                PathDescrLineTo *nData = dynamic_cast<PathDescrLineTo *>(descr_cmd[curP]);
                nextX = nData->p;
                AddPoint(nextX,curP,1.0,false);
                // et on avance
                curP++;
                break;
            }

            case descr_cubicto: {
                PathDescrCubicTo *nData = dynamic_cast<PathDescrCubicTo *>(descr_cmd[curP]);
                nextX = nData->p;
                // RecCubicTo will see if threshold is fine with approximating this cubic bezier with
                // a line segment through the start and end points. If no, it'd split the cubic at its
                // center point and recursively call itself on the left and right side. The center point
                // gets added in the points list too.
                RecCubicTo(curX, nData->start, nextX, nData->end, treshhold, 8, 0.0, 1.0, curP);
                // RecCubicTo adds any points inside the cubic and last one is added here
                AddPoint(nextX, curP, 1.0, false);
                // et on avance
                curP++;
                break;
            }

            case descr_arcto: {
                PathDescrArcTo *nData = dynamic_cast<PathDescrArcTo *>(descr_cmd[curP]);
                nextX = nData->p;
                // Similar to RecCubicTo, just for Arcs
                DoArc(curX, nextX, nData->rx, nData->ry, nData->angle, nData->large, nData->clockwise, treshhold, curP);
                AddPoint(nextX, curP, 1.0, false);
                // et on avance
                curP++;
                break;
            }

            case descr_bezierto: {
                PathDescrBezierTo *nBData = dynamic_cast<PathDescrBezierTo *>(descr_cmd[curP]);
                int nbInterm = nBData->nb;
                nextX = nBData->p;
                // same as RecCubicTo and RecArcTo but for quadratic bezier splines

                int ip = curP + 1;
                PathDescrIntermBezierTo *nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                if ( nbInterm >= 1 ) {
                    Geom::Point bx = curX;
                    Geom::Point dx = nData->p;
                    Geom::Point cx = 2 * bx - dx;

                    ip++;
                    nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                    for (int k = 0; k < nbInterm - 1; k++) {
                        bx = cx;
                        cx = dx;

                        dx = nData->p;
                        ip++;
                        nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                        Geom::Point stx;
                        stx = (bx + cx) / 2;
                        if ( k > 0 ) {
                            AddPoint(stx,curP - 1+k,1.0,false);
                        }

                        {
                            Geom::Point mx;
                            mx = (cx + dx) / 2;
                            RecBezierTo(cx, stx, mx, treshhold, 8, 0.0, 1.0, curP + k);
                        }
                    }
                    {
                        bx = cx;
                        cx = dx;

                        dx = nextX;
                        dx = 2 * dx - cx;

                        Geom::Point stx;
                        stx = (bx + cx) / 2;

                        if ( nbInterm > 1 ) {
                            AddPoint(stx, curP + nbInterm - 2, 1.0, false);
                        }

                        {
                            Geom::Point mx;
                            mx = (cx + dx) / 2;
                            RecBezierTo(cx, stx, mx, treshhold, 8, 0.0, 1.0, curP + nbInterm - 1);
                        }
                    }

                }


                AddPoint(nextX, curP - 1 + nbInterm, 1.0, false);

                // et on avance
                curP += 1 + nbInterm;
                break;
            }
        }
        curX = nextX;
    }
}


void Path::Convert(double treshhold)
{
    if ( descr_flags & descr_adding_bezier ) {
        CancelBezier();
    }

    if ( descr_flags & descr_doing_subpath ) {
        CloseSubpath();
    }

    SetBackData(false);
    ResetPoints();
    if ( descr_cmd.empty() ) {
        return;
    }

    Geom::Point curX;
    int curP = 1;
    int lastMoveTo = 0;

    // le moveto
    {
        int const firstTyp = descr_cmd[0]->getType();
        if ( firstTyp == descr_moveto ) {
            curX = dynamic_cast<PathDescrMoveTo *>(descr_cmd[0])->p;
        } else {
            curP = 0;
            curX[0] = curX[1] = 0;
        }
        lastMoveTo = AddPoint(curX, true);
    }
    descr_cmd[0]->associated = lastMoveTo;

    // et le reste, 1 par 1
    while ( curP < int(descr_cmd.size()) ) {

        int const nType = descr_cmd[curP]->getType();
        Geom::Point nextX;

        switch (nType) {
            case descr_forced: {
                descr_cmd[curP]->associated = AddForcedPoint(curX);
                curP++;
                break;
            }

            case descr_moveto: {
                PathDescrMoveTo *nData = dynamic_cast<PathDescrMoveTo *>(descr_cmd[curP]);
                nextX = nData->p;
                lastMoveTo = AddPoint(nextX, true);
                descr_cmd[curP]->associated = lastMoveTo;

                // et on avance
                curP++;
                break;
            }

            case descr_close: {
                nextX = pts[lastMoveTo].p;
                descr_cmd[curP]->associated = AddPoint(nextX, false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                if ( descr_cmd[curP]->associated > 0 ) {
                    pts[descr_cmd[curP]->associated].closed = true;
                }
                curP++;
                break;
            }

            case descr_lineto: {
                PathDescrLineTo *nData = dynamic_cast<PathDescrLineTo *>(descr_cmd[curP]);
                nextX = nData->p;
                descr_cmd[curP]->associated = AddPoint(nextX, false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                // et on avance
                curP++;
                break;
            }

            case descr_cubicto: {
                PathDescrCubicTo *nData = dynamic_cast<PathDescrCubicTo *>(descr_cmd[curP]);
                nextX = nData->p;
                RecCubicTo(curX, nData->start, nextX, nData->end, treshhold, 8);
                descr_cmd[curP]->associated = AddPoint(nextX,false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                // et on avance
                curP++;
                break;
            }

            case descr_arcto: {
                PathDescrArcTo *nData = dynamic_cast<PathDescrArcTo *>(descr_cmd[curP]);
                nextX = nData->p;
                DoArc(curX, nextX, nData->rx, nData->ry, nData->angle, nData->large, nData->clockwise, treshhold);
                descr_cmd[curP]->associated = AddPoint(nextX, false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                // et on avance
                curP++;
                break;
            }

            case descr_bezierto: {
                PathDescrBezierTo *nBData = dynamic_cast<PathDescrBezierTo *>(descr_cmd[curP]);
                int nbInterm = nBData->nb;
                nextX = nBData->p;
                int curBD = curP;

                curP++;
                int ip = curP;
                PathDescrIntermBezierTo *nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                if ( nbInterm == 1 ) {
                    Geom::Point const midX = nData->p;
                    RecBezierTo(midX, curX, nextX, treshhold, 8);
                } else if ( nbInterm > 1 ) {
                    Geom::Point bx = curX;
                    Geom::Point dx = nData->p;
                    Geom::Point cx = 2 * bx - dx;

                    ip++;
                    nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                    for (int k = 0; k < nbInterm - 1; k++) {
                        bx = cx;
                        cx = dx;

                        dx = nData->p;
                        ip++;
                        nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                        Geom::Point stx = (bx + cx) / 2;
                        if ( k > 0 ) {
                            descr_cmd[ip - 2]->associated = AddPoint(stx, false);
                            if ( descr_cmd[ip - 2]->associated < 0 ) {
                                if ( curP == 0 ) {
                                    descr_cmd[ip - 2]->associated = 0;
                                } else {
                                    descr_cmd[ip - 2]->associated = descr_cmd[ip - 3]->associated;
                                }
                            }
                        }

                        {
                            Geom::Point const mx = (cx + dx) / 2;
                            RecBezierTo(cx, stx, mx, treshhold, 8);
                        }
                    }

                    {
                        bx = cx;
                        cx = dx;

                        dx = nextX;
                        dx = 2 * dx - cx;

                        Geom::Point stx = (bx + cx) / 2;

                        descr_cmd[ip - 1]->associated = AddPoint(stx, false);
                        if ( descr_cmd[ip - 1]->associated < 0 ) {
                            if ( curP == 0 ) {
                                descr_cmd[ip - 1]->associated = 0;
                            } else {
                                descr_cmd[ip - 1]->associated = descr_cmd[ip - 2]->associated;
                            }
                        }

                        {
                            Geom::Point mx = (cx + dx) / 2;
                            RecBezierTo(cx, stx, mx, treshhold, 8);
                        }
                    }
                }

                descr_cmd[curBD]->associated = AddPoint(nextX, false);
                if ( descr_cmd[curBD]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curBD]->associated = 0;
                    } else {
                        descr_cmd[curBD]->associated = descr_cmd[curBD - 1]->associated;
                    }
                }

                // et on avance
                curP += nbInterm;
                break;
            }
        }

        curX = nextX;
    }
}

void Path::ConvertEvenLines(double treshhold)
{
    if ( descr_flags & descr_adding_bezier ) {
        CancelBezier();
    }

    if ( descr_flags & descr_doing_subpath ) {
        CloseSubpath();
    }

    SetBackData(false);
    ResetPoints();
    if ( descr_cmd.empty() ) {
        return;
    }

    Geom::Point curX;
    int curP = 1;
    int lastMoveTo = 0;

    // le moveto
    {
        int const firstTyp = descr_cmd[0]->getType();
        if ( firstTyp == descr_moveto ) {
            curX = dynamic_cast<PathDescrMoveTo *>(descr_cmd[0])->p;
        } else {
            curP = 0;
            curX[0] = curX[1] = 0;
        }
        lastMoveTo = AddPoint(curX, true);
    }
    descr_cmd[0]->associated = lastMoveTo;

    // et le reste, 1 par 1
    while ( curP < int(descr_cmd.size()) ) {

        int const nType = descr_cmd[curP]->getType();
        Geom::Point nextX;

        switch (nType) {
            case descr_forced: {
                descr_cmd[curP]->associated = AddForcedPoint(curX);
                curP++;
                break;
            }

            case descr_moveto: {
                PathDescrMoveTo* nData = dynamic_cast<PathDescrMoveTo *>(descr_cmd[curP]);
                nextX = nData->p;
                lastMoveTo = AddPoint(nextX,true);
                descr_cmd[curP]->associated = lastMoveTo;

                // et on avance
                curP++;
                break;
            }

            case descr_close: {
                nextX = pts[lastMoveTo].p;
                {
                    Geom::Point nexcur;
                    nexcur = nextX - curX;
                    const double segL = Geom::L2(nexcur);
                    if ( (segL > treshhold) && (treshhold > 0) ) {
                        for (double i = treshhold; i < segL; i += treshhold) {
                            Geom::Point nX;
                            nX = (segL - i) * curX + i * nextX;
                            nX /= segL;
                            AddPoint(nX);
                        }
                    }
                }

                descr_cmd[curP]->associated = AddPoint(nextX,false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                if ( descr_cmd[curP]->associated > 0 ) {
                    pts[descr_cmd[curP]->associated].closed = true;
                }
                curP++;
                break;
            }

            case descr_lineto: {
                PathDescrLineTo* nData = dynamic_cast<PathDescrLineTo *>(descr_cmd[curP]);
                nextX = nData->p;
                Geom::Point nexcur = nextX - curX;
                const double segL = L2(nexcur);
                if ( (segL > treshhold) && (treshhold > 0)) {
                    for (double i = treshhold; i < segL; i += treshhold) {
                        Geom::Point nX = ((segL - i) * curX + i * nextX) / segL;
                        AddPoint(nX);
                    }
                }

                descr_cmd[curP]->associated = AddPoint(nextX,false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                // et on avance
                curP++;
                break;
            }

            case descr_cubicto: {
                PathDescrCubicTo *nData = dynamic_cast<PathDescrCubicTo *>(descr_cmd[curP]);
                nextX = nData->p;
                RecCubicTo(curX, nData->start, nextX, nData->end, treshhold, 8, 4 * treshhold);
                descr_cmd[curP]->associated = AddPoint(nextX, false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }
                // et on avance
                curP++;
                break;
            }

            case descr_arcto: {
                PathDescrArcTo *nData = dynamic_cast<PathDescrArcTo *>(descr_cmd[curP]);
                nextX = nData->p;
                DoArc(curX, nextX, nData->rx, nData->ry, nData->angle, nData->large, nData->clockwise, treshhold);
                descr_cmd[curP]->associated =AddPoint(nextX, false);
                if ( descr_cmd[curP]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curP]->associated = 0;
                    } else {
                        descr_cmd[curP]->associated = descr_cmd[curP - 1]->associated;
                    }
                }

                // et on avance
                curP++;
                break;
            }

            case descr_bezierto: {
                PathDescrBezierTo *nBData = dynamic_cast<PathDescrBezierTo *>(descr_cmd[curP]);
                int nbInterm = nBData->nb;
                nextX = nBData->p;
                int curBD = curP;

                curP++;
                int ip = curP;
                PathDescrIntermBezierTo *nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                if ( nbInterm == 1 ) {
                    Geom::Point const midX = nData->p;
                    RecBezierTo(midX, curX, nextX, treshhold, 8, 4 * treshhold);
                } else if ( nbInterm > 1 ) {
                    Geom::Point bx = curX;
                    Geom::Point dx = nData->p;
                    Geom::Point cx = 2 * bx - dx;

                    ip++;
                    nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                    for (int k = 0; k < nbInterm - 1; k++) {
                        bx = cx;
                        cx = dx;
                        dx = nData->p;

                        ip++;
                        nData = dynamic_cast<PathDescrIntermBezierTo *>(descr_cmd[ip]);

                        Geom::Point stx = (bx+cx) / 2;
                        if ( k > 0 ) {
                            descr_cmd[ip - 2]->associated = AddPoint(stx, false);
                            if ( descr_cmd[ip - 2]->associated < 0 ) {
                                if ( curP == 0 ) {
                                    descr_cmd[ip- 2]->associated = 0;
                                } else {
                                    descr_cmd[ip - 2]->associated = descr_cmd[ip - 3]->associated;
                                }
                            }
                        }

                        {
                            Geom::Point const mx = (cx + dx) / 2;
                            RecBezierTo(cx, stx, mx, treshhold, 8, 4 * treshhold);
                        }
                    }

                    {
                        bx = cx;
                        cx = dx;

                        dx = nextX;
                        dx = 2 * dx - cx;

                        Geom::Point const stx = (bx + cx) / 2;

                        descr_cmd[ip - 1]->associated = AddPoint(stx, false);
                        if ( descr_cmd[ip - 1]->associated < 0 ) {
                            if ( curP == 0 ) {
                                descr_cmd[ip - 1]->associated = 0;
                            } else {
                                descr_cmd[ip - 1]->associated = descr_cmd[ip - 2]->associated;
                            }
                        }

                        {
                            Geom::Point const mx = (cx + dx) / 2;
                            RecBezierTo(cx, stx, mx, treshhold, 8, 4 * treshhold);
                        }
                    }
                }

                descr_cmd[curBD]->associated = AddPoint(nextX, false);
                if ( descr_cmd[curBD]->associated < 0 ) {
                    if ( curP == 0 ) {
                        descr_cmd[curBD]->associated = 0;
                    } else {
                        descr_cmd[curBD]->associated = descr_cmd[curBD - 1]->associated;
                    }
                }

                // et on avance
                curP += nbInterm;
                break;
            }
        }
        if ( Geom::LInfty(curX - nextX) > 0.00001 ) {
            curX = nextX;
        }
    }
}

const Geom::Point Path::PrevPoint(int i) const
{
    /* TODO: I suspect this should assert `(unsigned) i < descr_nb'.  We can probably change
       the argument to unsigned.  descr_nb should probably be changed to unsigned too. */
    g_assert( i >= 0 );
    switch ( descr_cmd[i]->getType() ) {
        case descr_moveto: {
            PathDescrMoveTo *nData = dynamic_cast<PathDescrMoveTo *>(descr_cmd[i]);
            return nData->p;
        }
        case descr_lineto: {
            PathDescrLineTo *nData = dynamic_cast<PathDescrLineTo *>(descr_cmd[i]);
            return nData->p;
        }
        case descr_arcto: {
            PathDescrArcTo *nData = dynamic_cast<PathDescrArcTo *>(descr_cmd[i]);
            return nData->p;
        }
        case descr_cubicto: {
            PathDescrCubicTo *nData = dynamic_cast<PathDescrCubicTo *>(descr_cmd[i]);
            return nData->p;
        }
        case descr_bezierto: {
            PathDescrBezierTo *nData = dynamic_cast<PathDescrBezierTo *>(descr_cmd[i]);
            return nData->p;
        }
        case descr_interm_bezier:
        case descr_close:
        case descr_forced:
            return PrevPoint(i - 1);
        default:
            g_assert_not_reached();
            return Geom::Point(0, 0);
    }
}

// utilitaries: given a quadratic bezier curve (start point, control point, end point, ie that's a clamped curve),
// and an abcissis on it, get the point with that abcissis.
// warning: it's NOT a curvilign abcissis (or whatever you call that in english), so "t" is NOT the length of "start point"->"result point"
void Path::QuadraticPoint(double t, Geom::Point &oPt,
                          const Geom::Point &iS, const Geom::Point &iM, const Geom::Point &iE)
{
    Geom::Point const ax = iE - 2 * iM + iS;
    Geom::Point const bx = 2 * iM - 2 * iS;
    Geom::Point const cx = iS;

    oPt = t * t * ax + t * bx + cx;
}
// idem for cubic bezier patch
void Path::CubicTangent(double t, Geom::Point &oPt, const Geom::Point &iS, const Geom::Point &isD,
                        const Geom::Point &iE, const Geom::Point &ieD)
{
    Geom::Point const ax = ieD - 2 * iE + 2 * iS + isD;
    Geom::Point const bx = 3 * iE - ieD - 2 * isD - 3 * iS;
    Geom::Point const cx = isD;

    oPt = 3 * t * t * ax + 2 * t * bx + cx;
}

// extract interesting info of a SVG arc description
static void ArcAnglesAndCenter(Geom::Point const &iS, Geom::Point const &iE,
			       double rx, double ry, double angle,
			       bool large, bool wise,
			       double &sang, double &eang, Geom::Point &dr);

void Path::ArcAngles(const Geom::Point &iS, const Geom::Point &iE,
                     double rx, double ry, double angle, bool large, bool wise, double &sang, double &eang)
{
    Geom::Point dr;
    ArcAnglesAndCenter(iS, iE, rx, ry, angle, large, wise, sang, eang, dr);
}

/* N.B. If iS == iE then sang,eang,dr each become NaN.  Probably a bug. */
static void ArcAnglesAndCenter(Geom::Point const &iS, Geom::Point const &iE,
                               double rx, double ry, double angle,
                               bool large, bool wise,
                               double &sang, double &eang, Geom::Point &dr)
{
    Geom::Point se = iE - iS;
    Geom::Point ca(cos(angle), sin(angle));
    Geom::Point cse(dot(ca, se), cross(ca, se));
    cse[0] /= rx;
    cse[1] /= ry;
    double const lensq = dot(cse,cse);
    Geom::Point csd = ( ( lensq < 4
                        ? sqrt( 1/lensq - .25 )
                        : 0.0 )
                      * cse.ccw() );

    Geom::Point ra = -csd - 0.5 * cse;
    if ( ra[0] <= -1 ) {
        sang = M_PI;
    } else if ( ra[0] >= 1 ) {
        sang = 0;
    } else {
        sang = acos(ra[0]);
        if ( ra[1] < 0 ) {
            sang = 2 * M_PI - sang;
        }
    }

    ra = -csd + 0.5 * cse;
    if ( ra[0] <= -1 ) {
        eang = M_PI;
    } else if ( ra[0] >= 1 ) {
        eang = 0;
    } else {
        eang = acos(ra[0]);
        if ( ra[1] < 0 ) {
            eang = 2 * M_PI - eang;
        }
    }

    csd[0] *= rx;
    csd[1] *= ry;
    ca[1] = -ca[1]; // because it's the inverse rotation

    dr[0] = dot(ca, csd);
    dr[1] = cross(ca, csd);

    ca[1] = -ca[1];

    if ( wise ) {

        if (large) {
            dr = -dr;
            double swap = eang;
            eang = sang;
            sang = swap;
            eang += M_PI;
            sang += M_PI;
            if ( eang >= 2*M_PI ) {
                eang -= 2*M_PI;
            }
            if ( sang >= 2*M_PI ) {
                sang -= 2*M_PI;
            }
        }

    } else {
        if (!large) {
            dr = -dr;
            double swap = eang;
            eang = sang;
            sang = swap;
            eang += M_PI;
            sang += M_PI;
            if ( eang >= 2*M_PI ) {
                eang -= 2 * M_PI;
            }
            if ( sang >= 2*M_PI ) {
                sang -= 2 * M_PI;
            }
        }
    }

    dr += 0.5 * (iS + iE);
}



void Path::DoArc(Geom::Point const &iS, Geom::Point const &iE,
                 double const rx, double const ry, double const angle,
                 bool const large, bool const wise, double const tresh)
{
    /* TODO: Check that our behaviour is standards-conformant if iS and iE are (much) further
       apart than the diameter.  Also check that we do the right thing for negative radius.
       (Same for the other DoArc functions in this file.) */
    if ( rx <= 0.0001 || ry <= 0.0001 || tresh <= 1e-8) {
        return;
        // We always add a lineto afterwards, so this is fine.
        // [on ajoute toujours un lineto apres, donc c bon]
    }

    double sang;
    double eang;
    Geom::Point dr_temp;
    ArcAnglesAndCenter(iS, iE, rx, ry, angle*M_PI/180.0, large, wise, sang, eang, dr_temp);
    Geom::Point dr = dr_temp;
    /* TODO: This isn't as good numerically as treating iS and iE as primary.  E.g. consider
       the case of low curvature (i.e. very large radius). */

    Geom::Scale const ar(rx, ry);
    Geom::Rotate cb(sang);
    Geom::Rotate cbangle(angle*M_PI/180.0);
    double max_ang = 2 * acos ( 1 - tresh / (fmax(rx, ry) ) );
    max_ang = fmin (max_ang, M_PI / 2 );
    int const num_sectors = abs(sang - eang) / max_ang + 1;

    if (wise) {


        if ( sang < eang ) {
            sang += 2*M_PI;
        }
        double const incr = (eang - sang) / num_sectors;
        Geom::Rotate const omega(incr);
        for (double b = sang + incr ; b > eang ; b += incr) {
            cb = omega * cb;
            AddPoint( cb.vector() * ar * cbangle + dr );
        }

    } else {

        if ( sang > eang ) {
            sang -= 2*M_PI;
        }
        double const incr = (eang - sang) / num_sectors;
        Geom::Rotate const omega(incr);
        for (double b = sang + incr ; b < eang ; b += incr) {
            cb = omega * cb;
            AddPoint( cb.vector() * ar * cbangle + dr);
        }
    }
}


void Path::RecCubicTo( Geom::Point const &iS, Geom::Point const &isD,
                       Geom::Point const &iE, Geom::Point const &ieD,
                       double tresh, int lev, double maxL)
{
    // vector from start to end point
    Geom::Point se = iE - iS;
    // length of that vector
    const double dC = Geom::L2(se);
    // if the vector from start to end point is smaller than 0.01
    if ( dC < 0.01 ) {
        // we still need to get an idea of how far away the curve goes from the start to end line segment se
        // for that, we measure lengths of isD and ieD
        const double sC = dot(isD,isD);
        const double eC = dot(ieD,ieD);
        // if they are limited by tresh, great
        if ( sC < tresh && eC < tresh ) {
            return;
        }
        // otherwise proceed

    } else {
        // okay so length is greater than or equal to 0.01, we can still check the perpendicular component
        // of the control handles and see if they are limited by tresh
        const double sC = fabs(cross(se, isD)) / dC;
        const double eC = fabs(cross(se, ieD)) / dC;
        if ( sC < tresh && eC < tresh ) {
            // presque tt droit -> attention si on nous demande de bien subdiviser les petits segments
            // if the perpendicular is limited and a maxL is set, check if maxL is being respected, if yes
            // return otherwise we split
            if ( maxL > 0 && dC > maxL ) {
                if ( lev <= 0 ) {
                    return;
                }
                // maths for splitting one cubic bezier into two
                Geom::Point m = 0.5 * (iS + iE) + 0.125 * (isD - ieD);
                Geom::Point md = 0.75 * (iE - iS) - 0.125 * (isD + ieD);

                Geom::Point hisD = 0.5 * isD;
                Geom::Point hieD = 0.5 * ieD;

                RecCubicTo(iS, hisD, m, md, tresh, lev - 1, maxL);
                AddPoint(m);
                RecCubicTo(m, md, iE, hieD, tresh, lev - 1,maxL);
            }
            return;
        }
    }

    if ( lev <= 0 ) {
        return;
    }

    {
        Geom::Point m = 0.5 * (iS + iE) + 0.125 * (isD - ieD);
        Geom::Point md = 0.75 * (iE - iS) - 0.125 * (isD + ieD);

        Geom::Point hisD = 0.5 * isD;
        Geom::Point hieD = 0.5 * ieD;

        RecCubicTo(iS, hisD, m, md, tresh, lev - 1, maxL);
        AddPoint(m);
        RecCubicTo(m, md, iE, hieD, tresh, lev - 1,maxL);
    }
}



void Path::RecBezierTo(const Geom::Point &iP,
                       const Geom::Point &iS,
                       const Geom::Point &iE,
                       double tresh, int lev, double maxL)
{
    if ( lev <= 0 ) {
        return;
    }

    Geom::Point ps = iS - iP;
    Geom::Point pe = iE - iP;
    Geom::Point se = iE - iS;
    double s = fabs(cross(pe, ps));
    if ( s < tresh ) {
        const double l = L2(se);
        if ( maxL > 0 && l > maxL ) {
            const Geom::Point m = 0.25 * (iS + iE + 2 * iP);
            Geom::Point md = 0.5 * (iS + iP);
            RecBezierTo(md, iS, m, tresh, lev - 1, maxL);
            AddPoint(m);
            md = 0.5 * (iP + iE);
            RecBezierTo(md, m, iE, tresh, lev - 1, maxL);
        }
        return;
    }

    {
        const Geom::Point m = 0.25 * (iS + iE + 2 * iP);
        Geom::Point md = 0.5 * (iS + iP);
        RecBezierTo(md, iS, m, tresh, lev - 1, maxL);
        AddPoint(m);
        md = 0.5 * (iP + iE);
        RecBezierTo(md, m, iE, tresh, lev - 1, maxL);
    }
}


void Path::DoArc(Geom::Point const &iS, Geom::Point const &iE,
                 double const rx, double const ry, double const angle,
                 bool const large, bool const wise, double const tresh, int const piece)
{
    /* TODO: Check that our behaviour is standards-conformant if iS and iE are (much) further
       apart than the diameter.  Also check that we do the right thing for negative radius.
       (Same for the other DoArc functions in this file.) */
    if ( rx <= 0.0001 || ry <= 0.0001 || tresh <= 1e-8 ) {
        return;
        // We always add a lineto afterwards, so this is fine.
        // [on ajoute toujours un lineto apres, donc c bon]
    }

    double sang;
    double eang;
    Geom::Point dr_temp;
    ArcAnglesAndCenter(iS, iE, rx, ry, angle*M_PI/180.0, large, wise, sang, eang, dr_temp);
    Geom::Point dr = dr_temp;
    /* TODO: This isn't as good numerically as treating iS and iE as primary.  E.g. consider
       the case of low curvature (i.e. very large radius). */

    Geom::Scale const ar(rx, ry);
    Geom::Rotate cb(sang);
    Geom::Rotate cbangle(angle*M_PI/180.0);

    // max angle is basically the maximum arc angle you can have that won't create
    // an arc that exceeds the threshold
    double max_ang = 2 * acos ( 1 - tresh / fmax(rx, ry)  );
    max_ang = fmin (max_ang, M_PI / 2 );
    // divide the whole arc range into sectors such that each sector
    // is no bigger than max ang
    int const num_sectors = abs(sang - eang) / max_ang + 1;

    if (wise) {
        if ( sang < eang ) {
            sang += 2*M_PI;
        }
        double const incr = (eang - sang) / num_sectors;
        Geom::Rotate const omega(incr);
        for (double b = sang + incr; b > eang; b += incr) {
            cb = omega * cb;
            AddPoint(cb.vector() * ar * cbangle + dr, piece, (sang - b) / (sang - eang));
        }

    } else {

        if ( sang > eang ) {
            sang -= 2 * M_PI;
        }
        double const incr = (eang - sang) / num_sectors;
        Geom::Rotate const omega(incr);
        for (double b = sang + incr ; b < eang ; b += incr) {
            cb = omega * cb;
            AddPoint(cb.vector() * ar * cbangle + dr, piece, (b - sang) / (eang - sang));
        }
    }
}

void Path::RecCubicTo(Geom::Point const &iS, Geom::Point const &isD,
                      Geom::Point const &iE, Geom::Point const &ieD,
                      double tresh, int lev, double st, double et, int piece)
{
    const Geom::Point se = iE - iS;
    const double dC = Geom::L2(se);
    if ( dC < 0.01 ) {
        const double sC = dot(isD, isD);
        const double eC = dot(ieD, ieD);
        if ( sC < tresh && eC < tresh ) {
            return;
        }
    } else {
        const double sC = fabs(cross(se, isD)) / dC;
        const double eC = fabs(cross(se, ieD)) / dC;
        if ( sC < tresh && eC < tresh ) {
            return;
        }
    }

    if ( lev <= 0 ) {
        return;
    }

    Geom::Point m = 0.5 * (iS + iE) + 0.125 * (isD - ieD);
    Geom::Point md = 0.75 * (iE - iS) - 0.125 * (isD + ieD);
    double mt = (st + et) / 2;

    Geom::Point hisD = 0.5 * isD;
    Geom::Point hieD = 0.5 * ieD;

    RecCubicTo(iS, hisD, m, md, tresh, lev - 1, st, mt, piece);
    AddPoint(m, piece, mt);
    RecCubicTo(m, md, iE, hieD, tresh, lev - 1, mt, et, piece);

}



void Path::RecBezierTo(Geom::Point const &iP,
                       Geom::Point const &iS,
                       Geom::Point const &iE,
                       double tresh, int lev, double st, double et, int piece)
{
    if ( lev <= 0 ) {
        return;
    }

    Geom::Point ps = iS - iP;
    Geom::Point pe = iE - iP;
    const double s = fabs(cross(pe, ps));
    if ( s < tresh ) {
        return;
    }

    {
        const double mt = (st + et) / 2;
        const Geom::Point m = 0.25 * (iS + iE + 2 * iP);
        RecBezierTo(0.5 * (iS + iP), iS, m, tresh, lev - 1, st, mt, piece);
        AddPoint(m, piece, mt);
        RecBezierTo(0.5 * (iP + iE), m, iE, tresh, lev - 1, mt, et, piece);
    }
}



void Path::DoArc(Geom::Point const &iS, Geom::Point const &iE,
                 double const rx, double const ry, double const angle,
                 bool const large, bool const wise, double const /*tresh*/,
                 int const piece, offset_orig &/*orig*/)
{
    // Will never arrive here, as offsets are made of cubics.
    // [on n'arrivera jamais ici, puisque les offsets sont fait de cubiques]
    /* TODO: Check that our behaviour is standards-conformant if iS and iE are (much) further
       apart than the diameter.  Also check that we do the right thing for negative radius.
       (Same for the other DoArc functions in this file.) */
    if ( rx <= 0.0001 || ry <= 0.0001 ) {
        return;
        // We always add a lineto afterwards, so this is fine.
        // [on ajoute toujours un lineto apres, donc c bon]
    }

    double sang;
    double eang;
    Geom::Point dr_temp;
    ArcAnglesAndCenter(iS, iE, rx, ry, angle*M_PI/180.0, large, wise, sang, eang, dr_temp);
    Geom::Point dr = dr_temp;
    /* TODO: This isn't as good numerically as treating iS and iE as primary.  E.g. consider
       the case of low curvature (i.e. very large radius). */

    Geom::Scale const ar(rx, ry);
    Geom::Rotate cb(sang);
    Geom::Rotate cbangle(angle*M_PI/180.0);
    if (wise) {

        double const incr = -0.1/sqrt(ar.vector().length());
        if ( sang < eang ) {
            sang += 2*M_PI;
        }
        Geom::Rotate const omega(incr);
        for (double b = sang + incr; b > eang ;b += incr) {
            cb = omega * cb;
            AddPoint(cb.vector() * ar * cbangle + dr, piece, (sang - b) / (sang - eang));
        }

    } else {
        double const incr = 0.1/sqrt(ar.vector().length());
        if ( sang > eang ) {
            sang -= 2*M_PI;
        }
        Geom::Rotate const omega(incr);
        for (double b = sang + incr ; b < eang ; b += incr) {
            cb = omega * cb;
            AddPoint(cb.vector() * ar * cbangle + dr, piece, (b - sang) / (eang - sang));
        }
    }
}


void Path::RecCubicTo(Geom::Point const &iS, Geom::Point const &isD,
                      Geom::Point const &iE, Geom::Point const &ieD,
                      double tresh, int lev, double st, double et,
                      int piece, offset_orig &orig)
{
    const Geom::Point se = iE - iS;
    const double dC = Geom::L2(se);
    bool doneSub = false;
    if ( dC < 0.01 ) {
        const double sC = dot(isD, isD);
        const double eC = dot(ieD, ieD);
        if ( sC < tresh && eC < tresh ) {
            return;
        }
    } else {
        const double sC = fabs(cross(se, isD)) / dC;
        const double eC = fabs(cross(se, ieD)) / dC;
        if ( sC < tresh && eC < tresh ) {
            doneSub = true;
        }
    }

    if ( lev <= 0 ) {
        doneSub = true;
    }

    // test des inversions
    bool stInv = false;
    bool enInv = false;
    {
        Geom::Point os_pos;
        Geom::Point os_tgt;
        Geom::Point oe_pos;
        Geom::Point oe_tgt;

        orig.orig->PointAndTangentAt(orig.piece, orig.tSt * (1 - st) + orig.tEn * st, os_pos, os_tgt);
        orig.orig->PointAndTangentAt(orig.piece, orig.tSt * (1 - et) + orig.tEn * et, oe_pos, oe_tgt);


        Geom::Point n_tgt = isD;
        double si = dot(n_tgt, os_tgt);
        if ( si < 0 ) {
            stInv = true;
        }
        n_tgt = ieD;
        si = dot(n_tgt, oe_tgt);
        if ( si < 0 ) {
            enInv = true;
        }
        if ( stInv && enInv ) {

            AddPoint(os_pos, -1, 0.0);
            AddPoint(iE, piece, et);
            AddPoint(iS, piece, st);
            AddPoint(oe_pos, -1, 0.0);
            return;

        } else if ( ( stInv && !enInv ) || ( !stInv && enInv ) ) {
            return;
        }

    }

    if ( ( !stInv && !enInv && doneSub ) || lev <= 0 ) {
        return;
    }

    {
        const Geom::Point m = 0.5 * (iS+iE) + 0.125 * (isD - ieD);
        const Geom::Point md = 0.75 * (iE - iS) - 0.125 * (isD + ieD);
        const double mt = (st + et) / 2;
        const Geom::Point hisD = 0.5 * isD;
        const Geom::Point hieD = 0.5 * ieD;

        RecCubicTo(iS, hisD, m, md, tresh, lev - 1, st, mt, piece, orig);
        AddPoint(m, piece, mt);
        RecCubicTo(m, md, iE, hieD, tresh, lev - 1, mt, et, piece, orig);
    }
}



void Path::RecBezierTo(Geom::Point const &iP, Geom::Point const &iS,Geom::Point const &iE,
                       double tresh, int lev, double st, double et,
                       int piece, offset_orig& orig)
{
    bool doneSub = false;
    if ( lev <= 0 ) {
        return;
    }

    const Geom::Point ps = iS - iP;
    const Geom::Point pe = iE - iP;
    const double s = fabs(cross(pe, ps));
    if ( s < tresh ) {
        doneSub = true ;
    }

    // test des inversions
    bool stInv = false;
    bool enInv = false;
    {
        Geom::Point os_pos;
        Geom::Point os_tgt;
        Geom::Point oe_pos;
        Geom::Point oe_tgt;
        Geom::Point n_tgt;
        Geom::Point n_pos;

        double n_len;
        double n_rad;
        PathDescrIntermBezierTo mid(iP);
        PathDescrBezierTo fin(iE, 1);

        TangentOnBezAt(0.0, iS, mid, fin, false, n_pos, n_tgt, n_len, n_rad);
        orig.orig->PointAndTangentAt(orig.piece, orig.tSt * (1 - st) + orig.tEn * st, os_pos, os_tgt);
        double si = dot(n_tgt, os_tgt);
        if ( si < 0 ) {
            stInv = true;
        }

        TangentOnBezAt(1.0, iS, mid, fin, false, n_pos, n_tgt, n_len, n_rad);
        orig.orig->PointAndTangentAt(orig.piece, orig.tSt * (1 - et) + orig.tEn * et, oe_pos, oe_tgt);
        si = dot(n_tgt, oe_tgt);
        if ( si < 0 ) {
            enInv = true;
        }

        if ( stInv && enInv ) {
            AddPoint(os_pos, -1, 0.0);
            AddPoint(iE, piece, et);
            AddPoint(iS, piece, st);
            AddPoint(oe_pos, -1, 0.0);
            return;
        }
    }

    if ( !stInv && !enInv && doneSub ) {
        return;
    }

    {
        double mt = (st + et) / 2;
        Geom::Point m = 0.25 * (iS + iE + 2 * iP);
        Geom::Point md = 0.5 * (iS + iP);
        RecBezierTo(md, iS, m, tresh, lev - 1, st, mt, piece, orig);
        AddPoint(m, piece, mt);
        md = 0.5 * (iP + iE);
        RecBezierTo(md, m, iE, tresh, lev - 1, mt, et, piece, orig);
    }
}


/*
 * put a polyline in a Shape instance, for further fun
 * pathID is the ID you want this Path instance to be associated with, for when you're going to recompose the polyline
 * in a path description ( you need to have prepared the back data for that, of course)
 */

void Path::Fill(Shape* dest, int pathID, bool justAdd, bool closeIfNeeded, bool invert)
{
    if ( dest == nullptr ) {
        return;
    }

    if ( justAdd == false ) {
        dest->Reset(pts.size(), pts.size());
    }

    if ( pts.size() <= 1 ) {
        return;
    }

    int first = dest->numberOfPoints();

    if ( back ) {
        dest->MakeBackData(true);
    }

    if ( invert ) {
        if ( back ) {
            {
                // invert && back && !weighted
                for (auto & pt : pts) {
                    dest->AddPoint(pt.p);
                }
                int lastM = 0;
                int curP = 1;
                int pathEnd = 0;
                bool closed = false;
                int lEdge = -1;

                while ( curP < int(pts.size()) ) {
                    int sbp = curP;
                    int lm = lastM;
                    int prp = pathEnd;

                    if ( pts[sbp].isMoveTo == polyline_moveto ) {

                        if ( closeIfNeeded ) {
                            if ( closed && lEdge >= 0 ) {
                                dest->DisconnectStart(lEdge);
                                dest->ConnectStart(first + lastM, lEdge);
                            } else {
                                lEdge = dest->AddEdge(first + lastM, first+pathEnd);
                                if ( lEdge >= 0 ) {
                                    dest->ebData[lEdge].pathID = pathID;
                                    dest->ebData[lEdge].pieceID = pts[lm].piece;
                                    dest->ebData[lEdge].tSt = 1.0;
                                    dest->ebData[lEdge].tEn = 0.0;
                                }
                            }
                        }

                        lastM = curP;
                        pathEnd = curP;
                        closed = false;
                        lEdge = -1;

                    } else {

                        if ( Geom::LInfty(pts[sbp].p - pts[prp].p) >= 0.00001 ) {
                            lEdge = dest->AddEdge(first + curP, first + pathEnd);
                            if ( lEdge >= 0 ) {
                                dest->ebData[lEdge].pathID = pathID;
                                dest->ebData[lEdge].pieceID = pts[sbp].piece;
                                if ( pts[sbp].piece == pts[prp].piece ) {
                                    dest->ebData[lEdge].tSt = pts[sbp].t;
                                    dest->ebData[lEdge].tEn = pts[prp].t;
                                } else {
                                    dest->ebData[lEdge].tSt = pts[sbp].t;
                                    dest->ebData[lEdge].tEn = 0.0;
                                }
                            }
                            pathEnd = curP;
                            if ( Geom::LInfty(pts[sbp].p - pts[lm].p) < 0.00001 ) {
                                closed = true;
                            } else {
                                closed = false;
                            }
                        }
                    }

                    curP++;
                }

                if ( closeIfNeeded ) {
                    if ( closed && lEdge >= 0 ) {
                        dest->DisconnectStart(lEdge);
                        dest->ConnectStart(first + lastM, lEdge);
                    } else {
                        int lm = lastM;
                        lEdge = dest->AddEdge(first + lastM, first + pathEnd);
                        if ( lEdge >= 0 ) {
                            dest->ebData[lEdge].pathID = pathID;
                            dest->ebData[lEdge].pieceID = pts[lm].piece;
                            dest->ebData[lEdge].tSt = 1.0;
                            dest->ebData[lEdge].tEn = 0.0;
                        }
                    }
                }
            }

        } else {

            {
                // invert && !back && !weighted
                for (auto & pt : pts) {
                    dest->AddPoint(pt.p);
                }
                int lastM = 0;
                int curP = 1;
                int pathEnd = 0;
                bool closed = false;
                int lEdge = -1;
                while ( curP < int(pts.size()) ) {
                    int sbp = curP;
                    int lm = lastM;
                    int prp = pathEnd;
                    if ( pts[sbp].isMoveTo == polyline_moveto ) {
                        if ( closeIfNeeded ) {
                            if ( closed && lEdge >= 0 ) {
                                dest->DisconnectStart(lEdge);
                                dest->ConnectStart(first + lastM, lEdge);
                            } else {
                                dest->AddEdge(first + lastM, first + pathEnd);
                            }
                        }
                        lastM = curP;
                        pathEnd = curP;
                        closed = false;
                        lEdge = -1;
                    } else {
                        if ( Geom::LInfty(pts[sbp].p - pts[prp].p) >= 0.00001 ) {
                            lEdge = dest->AddEdge(first+curP, first+pathEnd);
                            pathEnd = curP;
                            if ( Geom::LInfty(pts[sbp].p - pts[lm].p) < 0.00001 ) {
                                closed = true;
                            } else {
                                closed = false;
                            }
                        }
                    }
                    curP++;
                }

                if ( closeIfNeeded ) {
                    if ( closed && lEdge >= 0 ) {
                        dest->DisconnectStart(lEdge);
                        dest->ConnectStart(first + lastM, lEdge);
                    } else {
                        dest->AddEdge(first + lastM, first + pathEnd);
                    }
                }

            }
        }

    } else {

        if ( back ) {
            {
                // !invert && back && !weighted

                // add all points to the shape
                for (auto & pt : pts) {
                    dest->AddPoint(pt.p);
                }

                int lastM = 0;
                int curP = 1;
                int pathEnd = 0;
                bool closed = false;
                int lEdge = -1;
                while ( curP < int(pts.size()) ) {
                    int sbp = curP;
                    int lm = lastM;
                    int prp = pathEnd;
                    if ( pts[sbp].isMoveTo == polyline_moveto ) {
                        if ( closeIfNeeded ) {
                            if ( closed && lEdge >= 0 ) {
                                dest->DisconnectEnd(lEdge);
                                dest->ConnectEnd(first + lastM, lEdge);
                            } else {
                                lEdge = dest->AddEdge(first + pathEnd, first+lastM);
                                if ( lEdge >= 0 ) {
                                    dest->ebData[lEdge].pathID = pathID;
                                    dest->ebData[lEdge].pieceID = pts[lm].piece;
                                    dest->ebData[lEdge].tSt = 0.0;
                                    dest->ebData[lEdge].tEn = 1.0;
                                }
                            }
                        }
                        lastM = curP;
                        pathEnd = curP;
                        closed = false;
                        lEdge = -1;
                    } else {
                        if ( Geom::LInfty(pts[sbp].p - pts[prp].p) >= 0.00001 ) {
                            lEdge = dest->AddEdge(first + pathEnd, first + curP);
                            dest->ebData[lEdge].pathID = pathID;
                            dest->ebData[lEdge].pieceID = pts[sbp].piece;
                            if ( pts[sbp].piece == pts[prp].piece ) {
                                dest->ebData[lEdge].tSt = pts[prp].t;
                                dest->ebData[lEdge].tEn = pts[sbp].t;
                            } else {
                                dest->ebData[lEdge].tSt = 0.0;
                                dest->ebData[lEdge].tEn = pts[sbp].t;
                            }
                            pathEnd = curP;
                            if ( Geom::LInfty(pts[sbp].p - pts[lm].p) < 0.00001 ) {
                                closed = true;
                            } else {
                                closed = false;
                            }
                        }
                    }
                    curP++;
                }

                if ( closeIfNeeded ) {
                    if ( closed && lEdge >= 0 ) {
                        dest->DisconnectEnd(lEdge);
                        dest->ConnectEnd(first + lastM, lEdge);
                    } else {
                        int lm = lastM;
                        lEdge = dest->AddEdge(first + pathEnd, first + lastM);
                        if ( lEdge >= 0 ) {
                            dest->ebData[lEdge].pathID = pathID;
                            dest->ebData[lEdge].pieceID = pts[lm].piece;
                            dest->ebData[lEdge].tSt = 0.0;
                            dest->ebData[lEdge].tEn = 1.0;
                        }
                    }
                }
            }

        } else {
            {
                // !invert && !back && !weighted
                for (auto & pt : pts) {
                    dest->AddPoint(pt.p);
                }

                int lastM = 0;
                int curP = 1;
                int pathEnd = 0;
                bool closed = false;
                int lEdge = -1;
                while ( curP < int(pts.size()) ) {
                    int sbp = curP;
                    int lm = lastM;
                    int prp = pathEnd;
                    if ( pts[sbp].isMoveTo == polyline_moveto ) {
                        if ( closeIfNeeded ) {
                            if ( closed && lEdge >= 0 ) {
                                dest->DisconnectEnd(lEdge);
                                dest->ConnectEnd(first + lastM, lEdge);
                            } else {
                                dest->AddEdge(first + pathEnd, first + lastM);
                            }
                        }
                        lastM = curP;
                        pathEnd = curP;
                        closed = false;
                        lEdge = -1;
                    } else {
                        if ( Geom::LInfty(pts[sbp].p - pts[prp].p) >= 0.00001 ) {
                            lEdge = dest->AddEdge(first+pathEnd, first+curP);
                            pathEnd = curP;
                            if ( Geom::LInfty(pts[sbp].p - pts[lm].p) < 0.00001 ) {
                                closed = true;
                            } else {
                                closed = false;
                            }
                        }
                    }
                    curP++;
                }

                if ( closeIfNeeded ) {
                    if ( closed && lEdge >= 0 ) {
                        dest->DisconnectEnd(lEdge);
                        dest->ConnectEnd(first + lastM, lEdge);
                    } else {
                        dest->AddEdge(first + pathEnd, first + lastM);
                    }
                }

            }
        }
    }
}

/*
  Local Variables:
  mode:c++
  c-file-style:"stroustrup"
  c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
  indent-tabs-mode:nil
  fill-column:99
  End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4 :
