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 * Copyright (C) Johan Engelen 2007 <j.b.c.engelen@utwente.nl>
 * Released under GNU GPL, read the file 'COPYING' for more information

#include "live_effects/lpe-pathalongpath.h"
#include "sp-shape.h"
#include "sp-item.h"
#include "sp-path.h"
#include "display/curve.h"
#include <libnr/n-art-bpath.h>
#include <libnr/nr-matrix-fns.h>
#include "live_effects/n-art-bpath-2geom.h"
#include "svg/svg.h"
#include "ui/widget/scalar.h"

#include <2geom/sbasis.h>
#include <2geom/sbasis-geometric.h>
#include <2geom/bezier-to-sbasis.h>
#include <2geom/sbasis-to-bezier.h>
#include <2geom/d2.h>
#include <2geom/piecewise.h>

#include <algorithm>
using std::vector;

/* Theory in e-mail from J.F. Barraud
Let B be the skeleton path, and P the pattern (the path to be deformed).

P is a map t --> P(t) = ( x(t), y(t) ).
B is a map t --> B(t) = ( a(t), b(t) ).

The first step is to re-parametrize B by its arc length: this is the parametrization in which a point p on B is located by its distance s from start. One obtains a new map s --> U(s) = (a'(s),b'(s)), that still describes the same path B, but where the distance along B from start to
U(s) is s itself.

We also need a unit normal to the path. This can be obtained by computing a unit tangent vector, and rotate it by 90. Call this normal vector N(s).

The basic deformation associated to B is then given by:

   (x,y) --> U(x)+y*N(x)

(i.e. we go for distance x along the path, and then for distance y along the normal)

Of course this formula needs some minor adaptations (as is it depends on the absolute position of P for instance, so a little translation is needed
first) but I think we can first forget about them.

namespace Inkscape {
namespace LivePathEffect {

LPEPathAlongPath::LPEPathAlongPath(LivePathEffectObject *lpeobject) :
    bend_path(_("Bend path"), _("Path along which to bend the original path"), "bendpath", &wr, this, "M0,0 L1,0"),
    prop_scale(_("Width"), _("Width of the path"), "prop_scale", &wr, this, 1),
    scale_y_rel(_("Width in units of length"), _("Scale the width of the path in units of its length"), "scale_y_rel", &wr, this, false),
    vertical_pattern(_("Original path is vertical"), _("Rotates the original 90 degrees, before bending it along the bend path"), "vertical", &wr, this, false)
    registerParameter( dynamic_cast<Parameter *>(&bend_path) );
    registerParameter( dynamic_cast<Parameter *>(&prop_scale) );
    registerParameter( dynamic_cast<Parameter *>(&scale_y_rel) );
    registerParameter( dynamic_cast<Parameter *>(&vertical_pattern) );

    prop_scale.param_set_increments(0.01, 0.10);



Geom::Piecewise<Geom::D2<Geom::SBasis> >
LPEPathAlongPath::doEffect_pwd2 (Geom::Piecewise<Geom::D2<Geom::SBasis> > & pwd2_in)
    using namespace Geom;

/* Much credit should go to jfb and mgsloan of lib2geom development for the code below! */

    Piecewise<D2<SBasis> > uskeleton = arc_length_parametrization(Piecewise<D2<SBasis> >(bend_path),2,.1);
    uskeleton = remove_short_cuts(uskeleton,.01);
    Piecewise<D2<SBasis> > n = rot90(derivative(uskeleton));
    n = force_continuity(remove_short_cuts(n,.1));

    D2<Piecewise<SBasis> > patternd2 = make_cuts_independant(pwd2_in);
    Piecewise<SBasis> x = vertical_pattern.get_value() ? Piecewise<SBasis>(patternd2[1]) : Piecewise<SBasis>(patternd2[0]);
    Piecewise<SBasis> y = vertical_pattern.get_value() ? Piecewise<SBasis>(patternd2[0]) : Piecewise<SBasis>(patternd2[1]);
    Interval pattBnds = bounds_exact(x);
    x -= pattBnds.min();
    Interval pattBndsY = bounds_exact(y);
    y -= pattBndsY.middle();

    double scaling = uskeleton.cuts.back()/pattBnds.extent();

    if (scaling != 1.0) {

    if ( scale_y_rel.get_value() ) {
    } else {
        if (prop_scale != 1.0) y *= prop_scale;

    Piecewise<D2<SBasis> > output = compose(uskeleton,x) + y*compose(n,x);
    return output;

LPEPathAlongPath::resetDefaults(SPItem * item)
    if (!SP_IS_PATH(item)) return;

    using namespace Geom;

    // set the bend path to run horizontally in the middle of the bounding box of the original path
    Piecewise<D2<SBasis> > pwd2;
    std::vector<Geom::Path> temppath = SVGD_to_2GeomPath( SP_OBJECT_REPR(item)->attribute("inkscape:original-d"));
    for (unsigned int i=0; i < temppath.size(); i++) {
        pwd2.concat( temppath[i].toPwSb() );

    D2<Piecewise<SBasis> > d2pw = make_cuts_independant(pwd2);
    Interval bndsX = bounds_exact(d2pw[0]);
    Interval bndsY = bounds_exact(d2pw[1]);
    Point start(bndsX.min(), (bndsY.max()+bndsY.min())/2);
    Point end(bndsX.max(), (bndsY.max()+bndsY.min())/2);

    if ( Geom::are_near(start,end) ) {
        end += Point(1.,0.);
    Geom::Path path;
    path.start( start );
    path.appendNew<Geom::LineSegment>( end );
    bend_path.param_set_and_write_new_value( path.toPwSb() );

LPEPathAlongPath::transform_multiply(Geom::Matrix const& postmul, bool set)
    // TODO: implement correct transformation instead of this default behavior
    Effect::transform_multiply(postmul, set);

} // namespace LivePathEffect
} /* namespace Inkscape */

  Local Variables:
  c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4 :

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