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diff --git a/src/live_effects/lpe-patternalongpath.cpp b/src/live_effects/lpe-patternalongpath.cpp
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+// SPDX-License-Identifier: GPL-2.0-or-later
+/*
+ * Copyright (C) Johan Engelen 2007 <j.b.c.engelen@utwente.nl>
+ *
+ * Released under GNU GPL v2+, read the file 'COPYING' for more information.
+ */
+
+#include <cmath>
+#include <algorithm>
+#include <vector>
+
+#include <2geom/bezier-to-sbasis.h>
+
+#include "live_effects/lpe-patternalongpath.h"
+#include "live_effects/lpeobject.h"
+
+#include "display/curve.h"
+
+#include "object/sp-shape.h"
+
+#include "ui/knot/knot-holder.h"
+#include "ui/knot/knot-holder-entity.h"
+
+// TODO due to internal breakage in glibmm headers, this must be last:
+#include <glibmm/i18n.h>
+
+
+/* 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 {
+
+namespace WPAP {
+ class KnotHolderEntityWidthPatternAlongPath : public LPEKnotHolderEntity {
+ public:
+ KnotHolderEntityWidthPatternAlongPath(LPEPatternAlongPath * effect) : LPEKnotHolderEntity(effect) {}
+ ~KnotHolderEntityWidthPatternAlongPath() override
+ {
+ LPEPatternAlongPath *lpe = dynamic_cast<LPEPatternAlongPath *> (_effect);
+ lpe->_knot_entity = nullptr;
+ }
+ void knot_set(Geom::Point const &p, Geom::Point const &origin, guint state) override;
+ Geom::Point knot_get() const override;
+ };
+} // WPAP
+
+static const Util::EnumData<PAPCopyType> PAPCopyTypeData[PAPCT_END] = {
+ // clang-format off
+ {PAPCT_SINGLE, N_("Single"), "single"},
+ {PAPCT_SINGLE_STRETCHED, N_("Single, stretched"), "single_stretched"},
+ {PAPCT_REPEATED, N_("Repeated"), "repeated"},
+ {PAPCT_REPEATED_STRETCHED, N_("Repeated, stretched"), "repeated_stretched"}
+ // clang-format on
+};
+static const Util::EnumDataConverter<PAPCopyType> PAPCopyTypeConverter(PAPCopyTypeData, PAPCT_END);
+
+LPEPatternAlongPath::LPEPatternAlongPath(LivePathEffectObject *lpeobject) :
+ Effect(lpeobject),
+ pattern(_("Pattern source:"), _("Path to put along the skeleton path"), "pattern", &wr, this, "M0,0 L1,0"),
+ original_height(0.0),
+ prop_scale(_("_Width:"), _("Width of the pattern"), "prop_scale", &wr, this, 1.0),
+ copytype(_("Pattern copies:"), _("How many pattern copies to place along the skeleton path"),
+ "copytype", PAPCopyTypeConverter, &wr, this, PAPCT_SINGLE_STRETCHED),
+ scale_y_rel(_("Wid_th in units of length"),
+ _("Scale the width of the pattern in units of its length"),
+ "scale_y_rel", &wr, this, false),
+ spacing(_("Spa_cing:"),
+ // xgettext:no-c-format
+ _("Space between copies of the pattern. Negative values allowed, but are limited to -90% of pattern width."),
+ "spacing", &wr, this, 0),
+ normal_offset(_("No_rmal offset:"), "", "normal_offset", &wr, this, 0),
+ tang_offset(_("Tan_gential offset:"), "", "tang_offset", &wr, this, 0),
+ prop_units(_("Offsets in _unit of pattern size"),
+ _("Spacing, tangential and normal offset are expressed as a ratio of width/height"),
+ "prop_units", &wr, this, false),
+ vertical_pattern(_("Pattern is _vertical"), _("Rotate pattern 90 deg before applying"),
+ "vertical_pattern", &wr, this, false),
+ hide_knot(_("Hide width knot"), _("Hide width knot"),"hide_knot", &wr, this, false),
+ fuse_tolerance(_("_Fuse nearby ends:"), _("Fuse ends closer than this number. 0 means don't fuse."),
+ "fuse_tolerance", &wr, this, 0)
+{
+ registerParameter(&pattern);
+ registerParameter(&copytype);
+ registerParameter(&prop_scale);
+ registerParameter(&scale_y_rel);
+ registerParameter(&spacing);
+ registerParameter(&normal_offset);
+ registerParameter(&tang_offset);
+ registerParameter(&prop_units);
+ registerParameter(&vertical_pattern);
+ registerParameter(&hide_knot);
+ registerParameter(&fuse_tolerance);
+ prop_scale.param_set_digits(3);
+ prop_scale.param_set_increments(0.01, 0.10);
+ _knot_entity = nullptr;
+ _provides_knotholder_entities = true;
+
+}
+
+LPEPatternAlongPath::~LPEPatternAlongPath()
+= default;
+
+bool
+LPEPatternAlongPath::doOnOpen(SPLPEItem const *lpeitem)
+{
+ if (!is_load || is_applied) {
+ return false;
+ }
+ pattern.reload();
+ return false;
+}
+
+void LPEPatternAlongPath::transform_multiply(Geom::Affine const &postmul, bool /*set*/)
+{
+ if (sp_lpe_item && sp_lpe_item->pathEffectsEnabled() && sp_lpe_item->optimizeTransforms()) {
+ pattern.param_transform_multiply(postmul, false);
+ }
+}
+
+void
+LPEPatternAlongPath::doBeforeEffect (SPLPEItem const* lpeitem)
+{
+ // get the pattern bounding box
+ Geom::OptRect bbox = pattern.get_pathvector().boundsFast();
+ if (bbox) {
+ original_height = (*bbox)[Geom::Y].max() - (*bbox)[Geom::Y].min();
+ }
+ if (is_load) {
+ pattern.reload();
+ }
+ if (_knot_entity) {
+ if (hide_knot) {
+ helper_path.clear();
+ _knot_entity->knot->hide();
+ } else {
+ _knot_entity->knot->show();
+ }
+ _knot_entity->update_knot();
+ }
+}
+
+Geom::Piecewise<Geom::D2<Geom::SBasis> >
+LPEPatternAlongPath::doEffect_pwd2 (Geom::Piecewise<Geom::D2<Geom::SBasis> > const & pwd2_in)
+{
+ using namespace Geom;
+
+ // Don't allow empty path parameter:
+ if ( pattern.get_pathvector().empty() ) {
+ return pwd2_in;
+ }
+
+/* Much credit should go to jfb and mgsloan of lib2geom development for the code below! */
+ Piecewise<D2<SBasis> > output;
+ std::vector<Geom::Piecewise<Geom::D2<Geom::SBasis> > > pre_output;
+
+ PAPCopyType type = copytype.get_value();
+ Geom::Affine affine = pattern.get_relative_affine();
+ D2<Piecewise<SBasis> > patternd2 = make_cuts_independent(pattern.get_pwd2() * affine);
+ Piecewise<SBasis> x0 = vertical_pattern.get_value() ? Piecewise<SBasis>(patternd2[1]) : Piecewise<SBasis>(patternd2[0]);
+ Piecewise<SBasis> y0 = vertical_pattern.get_value() ? Piecewise<SBasis>(patternd2[0]) : Piecewise<SBasis>(patternd2[1]);
+ OptInterval pattBndsX = bounds_exact(x0);
+ OptInterval pattBndsY = bounds_exact(y0);
+ if (pattBndsX && pattBndsY) {
+ x0 -= pattBndsX->min();
+ y0 -= pattBndsY->middle();
+
+ double xspace = spacing;
+ double noffset = normal_offset;
+ double toffset = tang_offset;
+ if (prop_units.get_value()){
+ xspace *= pattBndsX->extent();
+ noffset *= pattBndsY->extent();
+ toffset *= pattBndsX->extent();
+ }
+
+ //Prevent more than 90% overlap...
+ if (xspace < -pattBndsX->extent() * 0.9) {
+ xspace = -pattBndsX->extent() * 0.9;
+ }
+ //TODO: dynamical update of parameter ranges?
+ //if (prop_units.get_value()){
+ // spacing.param_set_range(-.9, Geom::infinity());
+ // }else{
+ // spacing.param_set_range(-pattBndsX.extent()*.9, Geom::infinity());
+ // }
+
+ y0 += noffset;
+
+ std::vector<Geom::Piecewise<Geom::D2<Geom::SBasis> > > paths_in;
+ paths_in = split_at_discontinuities(pwd2_in);
+
+ for (auto path_i : paths_in){
+ Piecewise<SBasis> x = x0;
+ Piecewise<SBasis> y = y0;
+ Piecewise<D2<SBasis> > uskeleton = arc_length_parametrization(path_i,2, 0.1);
+ uskeleton = remove_short_cuts(uskeleton, 0.01);
+ Piecewise<D2<SBasis> > n = rot90(derivative(uskeleton));
+ if (Geom::are_near(pwd2_in[0].at0(),pwd2_in[pwd2_in.size()-1].at1(), 0.01)) {
+ n = force_continuity(remove_short_cuts(n, 0.1), 0.01);
+ } else {
+ n = force_continuity(remove_short_cuts(n, 0.1));
+ }
+ int nbCopies = 0;
+ double scaling = 1;
+ switch(type) {
+ case PAPCT_REPEATED:
+ nbCopies = static_cast<int>(floor((uskeleton.domain().extent() - toffset + xspace)/(pattBndsX->extent()+xspace)));
+ pattBndsX = Interval(pattBndsX->min(),pattBndsX->max()+xspace);
+ break;
+
+ case PAPCT_SINGLE:
+ nbCopies = (toffset + pattBndsX->extent() < uskeleton.domain().extent()) ? 1 : 0;
+ break;
+
+ case PAPCT_SINGLE_STRETCHED:
+ nbCopies = 1;
+ scaling = (uskeleton.domain().extent() - toffset)/pattBndsX->extent();
+ break;
+
+ case PAPCT_REPEATED_STRETCHED:
+ // if uskeleton is closed:
+ if (are_near(path_i.segs.front().at0(), path_i.segs.back().at1())){
+ nbCopies = std::max(1, static_cast<int>(std::floor((uskeleton.domain().extent() - toffset)/(pattBndsX->extent()+xspace))));
+ pattBndsX = Interval(pattBndsX->min(),pattBndsX->max()+xspace);
+ scaling = (uskeleton.domain().extent() - toffset)/(((double)nbCopies)*pattBndsX->extent());
+ // if not closed: no space at the end
+ }else{
+ nbCopies = std::max(1, static_cast<int>(std::floor((uskeleton.domain().extent() - toffset + xspace)/(pattBndsX->extent()+xspace))));
+ pattBndsX = Interval(pattBndsX->min(),pattBndsX->max()+xspace);
+ scaling = (uskeleton.domain().extent() - toffset)/(((double)nbCopies)*pattBndsX->extent() - xspace);
+ }
+ break;
+
+ default:
+ return pwd2_in;
+ };
+
+ //Ceil to 6 decimals
+ scaling = ceil(scaling * 1000000) / 1000000;
+ double pattWidth = pattBndsX->extent() * scaling;
+
+ x *= scaling;
+ if ( scale_y_rel.get_value() ) {
+ y *= prop_scale * scaling;
+ } else {
+ y *= prop_scale;
+ }
+ x += toffset;
+
+ double offs = 0;
+ for (int i=0; i<nbCopies; i++){
+ if (fuse_tolerance > 0){
+ Geom::Piecewise<Geom::D2<Geom::SBasis> > output_piece = compose(uskeleton,x+offs)+y*compose(n,x+offs);
+ std::vector<Geom::Piecewise<Geom::D2<Geom::SBasis> > > splited_output_piece = split_at_discontinuities(output_piece);
+ pre_output.insert(pre_output.end(), splited_output_piece.begin(), splited_output_piece.end() );
+ }else{
+ output.concat(compose(uskeleton,x+offs)+y*compose(n,x+offs));
+ }
+ offs+=pattWidth;
+ }
+ }
+ if (fuse_tolerance > 0){
+ pre_output = fuse_nearby_ends(pre_output, fuse_tolerance);
+ for (const auto & i : pre_output){
+ output.concat(i);
+ }
+ }
+ return output;
+ } else {
+ return pwd2_in;
+ }
+}
+
+void
+LPEPatternAlongPath::addCanvasIndicators(SPLPEItem const */*lpeitem*/, std::vector<Geom::PathVector> &hp_vec)
+{
+ hp_vec.push_back(helper_path);
+}
+
+
+void
+LPEPatternAlongPath::addKnotHolderEntities(KnotHolder *knotholder, SPItem *item)
+{
+ _knot_entity = new WPAP::KnotHolderEntityWidthPatternAlongPath(this);
+ _knot_entity->create(nullptr, item, knotholder, Inkscape::CANVAS_ITEM_CTRL_TYPE_LPE, "LPE:PatternAlongPath",
+ _("Change the width"));
+ knotholder->add(_knot_entity);
+ if (hide_knot) {
+ _knot_entity->knot->hide();
+ _knot_entity->update_knot();
+ }
+}
+
+namespace WPAP {
+
+void
+KnotHolderEntityWidthPatternAlongPath::knot_set(Geom::Point const &p, Geom::Point const& /*origin*/, guint state)
+{
+ LPEPatternAlongPath *lpe = dynamic_cast<LPEPatternAlongPath *> (_effect);
+
+ Geom::Point const s = snap_knot_position(p, state);
+ SPShape const *sp_shape = dynamic_cast<SPShape const *>(SP_LPE_ITEM(item));
+ if (sp_shape && lpe->original_height) {
+ auto curve_before = SPCurve::copy(sp_shape->curveForEdit());
+ if (curve_before) {
+ Geom::Path const *path_in = curve_before->first_path();
+ Geom::Point ptA = path_in->pointAt(Geom::PathTime(0, 0.0));
+ Geom::Point B = path_in->pointAt(Geom::PathTime(1, 0.0));
+ Geom::Curve const *first_curve = &path_in->curveAt(Geom::PathTime(0, 0.0));
+ Geom::CubicBezier const *cubic = dynamic_cast<Geom::CubicBezier const *>(&*first_curve);
+ Geom::Ray ray(ptA, B);
+ if (cubic) {
+ ray.setPoints(ptA, (*cubic)[1]);
+ }
+ ray.setAngle(ray.angle() + Geom::rad_from_deg(90));
+ Geom::Point knot_pos = this->knot->pos * item->i2dt_affine().inverse();
+ Geom::Coord nearest_to_ray = ray.nearestTime(knot_pos);
+ if(nearest_to_ray == 0){
+ lpe->prop_scale.param_set_value(-Geom::distance(s , ptA)/(lpe->original_height/2.0));
+ } else {
+ lpe->prop_scale.param_set_value(Geom::distance(s , ptA)/(lpe->original_height/2.0));
+ }
+ }
+ if (!lpe->original_height) {
+ lpe->prop_scale.param_set_value(0);
+ }
+ Inkscape::Preferences *prefs = Inkscape::Preferences::get();
+ prefs->setDouble("/live_effects/skeletal/width", lpe->prop_scale);
+ }
+ sp_lpe_item_update_patheffect (SP_LPE_ITEM(item), false, true);
+}
+
+Geom::Point
+KnotHolderEntityWidthPatternAlongPath::knot_get() const
+{
+ LPEPatternAlongPath *lpe = dynamic_cast<LPEPatternAlongPath *> (_effect);
+ SPShape const *sp_shape = dynamic_cast<SPShape const *>(SP_LPE_ITEM(item));
+ if (sp_shape) {
+ auto curve_before = SPCurve::copy(sp_shape->curveForEdit());
+ if (curve_before) {
+ Geom::Path const *path_in = curve_before->first_path();
+ Geom::Point ptA = path_in->pointAt(Geom::PathTime(0, 0.0));
+ Geom::Point B = path_in->pointAt(Geom::PathTime(1, 0.0));
+ Geom::Curve const *first_curve = &path_in->curveAt(Geom::PathTime(0, 0.0));
+ Geom::CubicBezier const *cubic = dynamic_cast<Geom::CubicBezier const *>(&*first_curve);
+ Geom::Ray ray(ptA, B);
+ if (cubic) {
+ ray.setPoints(ptA, (*cubic)[1]);
+ }
+ ray.setAngle(ray.angle() + Geom::rad_from_deg(90));
+ Geom::Point result_point = Geom::Point::polar(ray.angle(), (lpe->original_height/2.0) * lpe->prop_scale) + ptA;
+ lpe->helper_path.clear();
+ if (!lpe->hide_knot) {
+ Geom::Path hp(result_point);
+ hp.appendNew<Geom::LineSegment>(ptA);
+ lpe->helper_path.push_back(hp);
+ hp.clear();
+ }
+ return result_point;
+ }
+ }
+ return Geom::Point();
+}
+} // namespace WPAP
+} // namespace LivePathEffect
+} /* namespace Inkscape */
+
+/*
+ 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 :