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+/*
+ * sb-to-bez Toy - Tests conversions from sbasis to cubic bezier.
+ *
+ * Copyright 2007 jf barraud.
+ * 2008 njh
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it either under the terms of the GNU Lesser General Public
+ * License version 2.1 as published by the Free Software Foundation
+ * (the "LGPL") or, at your option, under the terms of the Mozilla
+ * Public License Version 1.1 (the "MPL"). If you do not alter this
+ * notice, a recipient may use your version of this file under either
+ * the MPL or the LGPL.
+ *
+ * You should have received a copy of the LGPL along with this library
+ * in the file COPYING-LGPL-2.1; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * You should have received a copy of the MPL along with this library
+ * in the file COPYING-MPL-1.1
+ *
+ * The contents of this file are subject to the Mozilla Public License
+ * Version 1.1 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ * http://www.mozilla.org/MPL/
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
+ * OF ANY KIND, either express or implied. See the LGPL or the MPL for
+ * the specific language governing rights and limitations.
+ *
+ */
+
+// mainly experimental atm...
+// do not expect to find anything understandable here atm.
+
+#include <2geom/d2.h>
+#include <2geom/sbasis.h>
+#include <2geom/sbasis-geometric.h>
+#include <2geom/sbasis-math.h>
+#include <2geom/basic-intersection.h>
+#include <2geom/bezier-utils.h>
+
+#include <2geom/circle.h>
+
+#include <toys/path-cairo.h>
+#include <toys/toy-framework-2.h>
+
+#define ZERO 1e-7
+
+using std::vector;
+using namespace Geom;
+using namespace std;
+
+#include <stdio.h>
+#include <gsl/gsl_poly.h>
+
+std::vector<Point> neighbors(std::vector<Point> const &pts, unsigned idx, double radius){
+ std::vector<Point> res;
+ Point p0 = pts[idx];
+ for (auto p : pts){
+ if ( L2(p-p0) < radius ) res.push_back(p);
+ }
+ return res;
+}
+
+double curvature(Point const &a, Point const &b, Point const &c){
+ Line med_ab = Line( (a+b)/2, (a+b)/2+rot90(b-a) );
+ Line med_bc = Line( (b+c)/2, (b+c)/2+rot90(c-b) );
+ OptCrossing o = intersection(med_ab, med_bc);
+ if (o){
+ Point oo = med_ab.pointAt(o->ta);
+ return(1./L2(oo-a));
+ }
+ else
+ return 0;
+}
+
+double avarageCurvature(std::vector<Point> const &pts, unsigned idx, double radius){
+ std::vector<Point> ngbrs = neighbors(pts, idx, radius);
+ if (ngbrs.size()<3) return 0;
+ double k=0;
+ double mass = 0;
+ for (unsigned i=0; i<5; i++){
+ unsigned ia = 0, ib = 0, ic = 0;
+ ia = rand()%ngbrs.size();
+ while (ib == ia)
+ ib = rand()%ngbrs.size();
+ while (ic == ia || ic == ib)
+ ic = rand()%ngbrs.size();
+ k += curvature(pts[ia],pts[ib],pts[ic]);
+ mass += 1; //smaller mass to closer triplets?
+ }
+ k /= mass;
+ return k;
+}
+
+Point massCenter(std::vector<Point> const &pts){
+ Point g = Point(0,0);
+ for (unsigned i=0; i<pts.size(); i++){
+ g += pts[i]/pts.size();
+ }
+ return g;
+}
+
+Line meanSquareLine(std::vector<Point> const &pts){
+ Point g = massCenter(pts);
+ double a = 0, b = 0, c = 0;
+ for (auto pt : pts){
+ a += (pt[Y]-g[Y])*(pt[Y]-g[Y]);
+ b +=-(pt[X]-g[X])*(pt[Y]-g[Y]);
+ c += (pt[X]-g[X])*(pt[X]-g[X]);
+ }
+ double eigen = ( (a+c) - sqrt((a-c)*(a-c)+4*b*b) )/2;
+ Point u(-b,a-eigen);
+ return Line(g, g+u);
+}
+
+void tighten(std::vector<Point> &pts, double radius, bool linear){
+ for (unsigned i=0; i<pts.size(); i++){
+ std::vector<Point> ngbrs = neighbors(pts,i,radius);
+ if (linear){
+ Line d = meanSquareLine(ngbrs);
+ Point proj = projection( pts[i], d );
+ double t = 2./3.;
+ pts[i] = pts[i]*(1-t) + proj*t;
+ }else if (ngbrs.size()>=3) {
+ Circle c;
+ c.fit(ngbrs);
+ Point o = c.center();
+ double r = c.radius();
+ pts[i] = o + unit_vector(pts[i]-o)*r;
+ }
+ }
+}
+
+double dist_to(std::vector<Point> const &pts, Point const &p, unsigned *idx=NULL){
+ double d,d_min = std::numeric_limits<float>::infinity();
+ if (idx) *idx = pts.size();
+ for (unsigned i = 0; i<pts.size(); i++){
+ d = L2(pts[i]-p);
+ if ( d < d_min ){
+ d_min = d;
+ if (idx) *idx = i;
+ }
+ }
+ return d_min;
+}
+
+void fuse_close_points(std::vector<Point> &pts, double dist_min){
+ if (pts.size()==0) return;
+ std::vector<Point> reduced_pts;
+ reduced_pts.push_back(pts[0]);
+ for (auto & pt : pts){
+ double d = dist_to(reduced_pts, pt);
+ if ( d > dist_min ) reduced_pts.push_back(pt);
+ }
+ pts = reduced_pts;
+ return;
+}
+
+
+unsigned nearest_after(std::vector<Point>const &pts, unsigned idx, double *dist = NULL){
+ if ( idx >= pts.size()-1 ) return pts.size();
+ Point p = pts[idx];
+ unsigned res = idx+1;
+ double d_min = L2(p-pts[res]);
+ for (unsigned i=idx+2; i<pts.size(); i++){
+ double d = L2(p-pts[i]);
+ if (d < d_min) {
+ d_min = d;
+ res = i;
+ }
+ }
+ if (dist) *dist = d_min;
+ return res;
+}
+
+//TEST ME: use direction information to separate exaeco?
+void sort_nearest(std::vector<Point> &pts, double no_longer_than = 0){
+ double d;
+ Point p;
+ for (unsigned i=0; i<pts.size()-1; i++){
+ unsigned j = nearest_after(pts,i,&d);
+ if (no_longer_than >0.1 && d > no_longer_than){
+ pts.erase(pts.begin()+i+1, pts.end());
+ return;
+ }
+ p = pts[i+1];
+ pts[i+1] = pts[j];
+ pts[j] = p;
+ }
+}
+
+//FIXME: optimize me if further used...
+void sort_nearest_bis(std::vector<Point> &pts, double radius){
+ double d;
+ Point p;
+ for (unsigned i=0; i<pts.size()-1; i++){
+ bool already_visited = true;
+ unsigned next = 0; // silence warning
+ while ( i < pts.size()-1 && already_visited ){
+ next = nearest_after(pts,i,&d);
+ already_visited = false;
+ for (unsigned k=0; k<i; k++){
+ double d_k_next = L2( pts[next] - pts[k]);
+ if ( d_k_next < d && d_k_next < radius ){
+ already_visited = true;
+ pts.erase(pts.begin()+next);
+ break;
+ }
+ }
+ }
+ if (!already_visited){
+ p = pts[i+1];
+ pts[i+1] = pts[next];
+ pts[next] = p;
+ }
+ }
+}
+
+Path ordered_fit(std::vector<Point> &pts, double tol){
+ unsigned n_points = pts.size();
+ Geom::Point * b = g_new(Geom::Point, 4*n_points);
+ Geom::Point * points = g_new(Geom::Point, 4*n_points);
+ for (unsigned int i = 0; i < pts.size(); i++) {
+ points[i] = pts[i];
+ }
+ int max_segs = 4*n_points;
+ int const n_segs = bezier_fit_cubic_r(b, points, n_points,
+ tol*tol, max_segs);
+ Path res;
+ if ( n_segs > 0){
+ res = Path(b[0]);
+ for (int i=0; i<n_segs; i++){
+ res.appendNew<CubicBezier>(b[4*i+1],b[4*i+2],b[4*i+3]);
+ }
+ }
+ g_free(b);
+ g_free(points);
+ return res;
+}
+
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+
+
+std::vector<Point> eat(std::vector<Point> const &pts, double sampling){
+ std::vector<bool> visited(pts.size(),false);
+ std::vector<Point> res;
+ Point p = pts.front();
+ //Point q = p;
+ res.push_back(p);
+ while(true){
+ double num_nghbrs = 0;
+ Point next(0,0);
+ for(unsigned i = 0; i < pts.size(); i++) {
+ if (!visited[i] && L2(pts[i]-p)<sampling){
+ //TODO: rotate pts[i] so that last step was in dir -pi...
+ //dir += atan2(pts[i]-p);
+ visited[i] = true;
+ next+= pts[i]-p;
+ num_nghbrs += 1;
+ }
+ }
+ if (num_nghbrs == 0) break;
+ //q=p;
+ next *= 1./num_nghbrs;
+ p += next;
+ res.push_back(p);
+ }
+ return res;
+}
+
+
+
+
+
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+
+double exp_rescale(double x)
+{
+ return pow(10, x*5-2);
+}
+std::string exp_formatter(double x)
+{
+ return default_formatter(exp_rescale(x));
+}
+
+class SketchFitterToy: public Toy {
+
+ enum menu_item_t
+ {
+ SHOW_MENU = 0,
+ TEST_TIGHTEN,
+ TEST_EAT_BY_STEP,
+ TEST_TIGHTEN_EAT,
+ TEST_CURVATURE,
+ TEST_SORT,
+ TEST_NUMERICAL,
+ SHOW_HELP,
+ TOTAL_ITEMS // this one must be the last item
+ };
+
+ enum handle_label_t
+ {
+ };
+
+ enum toggle_label_t
+ {
+ DRAW_MOUSES = 0,
+ DRAW_IMPROVED_MOUSES,
+ DRAW_STROKE,
+ TIGHTEN_USE_CIRCLE,
+ SORT_BIS,
+ TOTAL_TOGGLES // this one must be the last item
+ };
+
+ enum slider_label_t
+ {
+ TIGHTEN_NBHD_SIZE = 0,
+ TIGHTEN_ITERRATIONS,
+ EAT_NBHD_SIZE,
+ SORT_RADIUS,
+ FUSE_RADIUS,
+ INTERPOLATE_RADIUS,
+ CURVATURE_NBHD_SIZE,
+ POINT_CHOOSER,
+ TOTAL_SLIDERS // this one must be the last item
+ };
+
+ static const char* menu_items[TOTAL_ITEMS];
+ static const char keys[TOTAL_ITEMS];
+
+ void fit_empty(){}
+ void first_time(int /*argc*/, char** /*argv*/) override
+ {
+ draw_f = &SketchFitterToy::draw_menu;
+ fit_f = &SketchFitterToy::fit_empty;
+ }
+
+ void init_common()
+ {
+ set_common_control_geometry = true;
+ set_control_geometry = true;
+
+ handles.clear();
+ handles.push_back(&(toggles[DRAW_MOUSES]));
+ handles.push_back(&(toggles[DRAW_IMPROVED_MOUSES]));
+ handles.push_back(&(toggles[DRAW_STROKE]));
+
+ //sliders.clear();
+ //toggles.clear();
+ //handles.clear();
+ }
+ void init_common_ctrl_geom(cairo_t* /*cr*/, int width, int /*height*/, std::ostringstream* /*notify*/)
+ {
+ if ( set_common_control_geometry )
+ {
+ set_common_control_geometry = false;
+ Point p(10, 20), d(width/3-20,25);
+ toggles[DRAW_MOUSES].bounds = Rect(p, p + d);
+ p += Point ((width)/3, 0);
+ toggles[DRAW_IMPROVED_MOUSES].bounds = Rect(p, p + d);
+ p += Point ((width)/3, 0);
+ toggles[DRAW_STROKE].bounds = Rect(p, p + d);
+ }
+ }
+ virtual void draw_common( cairo_t *cr, std::ostringstream *notify,
+ int width, int height, bool /*save*/, std::ostringstream */*timer_stream*/)
+ {
+ init_common_ctrl_geom(cr, width, height, notify);
+ if(!mouses.empty() && toggles[DRAW_MOUSES].on ) {
+ //cairo_move_to(cr, mouses[0]);
+ //for(unsigned i = 0; i < mouses.size(); i++) {
+ // cairo_line_to(cr, mouses[i]);
+ //}
+ for(auto & mouse : mouses) {
+ draw_cross(cr, mouse);
+ }
+ cairo_set_source_rgba (cr, 0., 0., 0., .25);
+ cairo_set_line_width (cr, 0.5);
+ cairo_stroke(cr);
+ }
+
+ if(!improved_mouses.empty() && toggles[DRAW_IMPROVED_MOUSES].on ) {
+ cairo_move_to(cr, improved_mouses[0]);
+ for(auto & improved_mouse : improved_mouses) {
+ draw_cross(cr, improved_mouse);
+ }
+ cairo_set_source_rgba (cr, 1., 0., 0., 1);
+ cairo_set_line_width (cr, .75);
+ cairo_stroke(cr);
+ }
+
+ if(!stroke.empty() && toggles[DRAW_STROKE].on) {
+ cairo_pw_d2_sb(cr, stroke);
+ cairo_set_source_rgba (cr, 0., 0., 1., 1);
+ cairo_set_line_width (cr, .75);
+ cairo_stroke(cr);
+ }
+
+ *notify << "Press SHIFT to continue sketching. 'Z' to apply changes";
+ }
+
+
+//-----------------------------------------------------------------------------------------
+// Tighten: tries to move the points toward the common curve
+//-----------------------------------------------------------------------------------------
+ void init_tighten()
+ {
+ init_common();
+ handles.push_back(&(sliders[TIGHTEN_NBHD_SIZE]));
+ handles.push_back(&(sliders[TIGHTEN_ITERRATIONS]));
+ handles.push_back(&(toggles[TIGHTEN_USE_CIRCLE]));
+ }
+ void init_tighten_ctrl_geom(cairo_t* /*cr*/, std::ostringstream* /*notify*/, int width, int height)
+ {
+ if ( set_control_geometry ){
+ set_control_geometry = false;
+ sliders[TIGHTEN_NBHD_SIZE ].geometry(Point(50, height - 35*2), 180);
+ sliders[TIGHTEN_ITERRATIONS].geometry(Point(50, height - 35*3), 180);
+
+ Point p(width-250, height - 50), d(225,25);
+ toggles[TIGHTEN_USE_CIRCLE].bounds = Rect(p, p + d);
+ }
+ }
+ void fit_tighten(){
+ improved_mouses = mouses;
+ double radius = exp_rescale(sliders[TIGHTEN_NBHD_SIZE].value());
+ for (unsigned i=1; i<=sliders[TIGHTEN_ITERRATIONS].value(); i++){
+ tighten(improved_mouses, radius, !toggles[TIGHTEN_USE_CIRCLE].on);
+ }
+ }
+ void draw_tighten(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
+ draw_common(cr, notify, width, height, save, timer_stream);
+ init_tighten_ctrl_geom(cr, notify, width, height);
+ }
+
+//-----------------------------------------------------------------------------------------
+// Eat by step: eats the curve moving at each step in the average direction of the neighbors.
+//-----------------------------------------------------------------------------------------
+ void init_eat()
+ {
+ init_common();
+ handles.push_back(&(sliders[EAT_NBHD_SIZE]));
+ }
+ void init_eat_ctrl_geom(cairo_t* /*cr*/, std::ostringstream* /*notify*/, int /*width*/, int height)
+ {
+ if ( set_control_geometry ){
+ set_control_geometry = false;
+ sliders[EAT_NBHD_SIZE].geometry(Point(50, height - 35*(0+2)), 180);
+ }
+ }
+ void fit_eat(){
+ double radius = exp_rescale(sliders[EAT_NBHD_SIZE].value());
+ improved_mouses = mouses;
+
+ tighten(improved_mouses, 20, true);
+
+ stroke = Piecewise<D2<SBasis> >();
+ improved_mouses = eat(improved_mouses, radius);
+ Path p(improved_mouses[0]);
+ for(unsigned i = 1; i < improved_mouses.size(); i++) {
+ p.appendNew<LineSegment>(improved_mouses[i]);
+ }
+ stroke = p.toPwSb();
+ }
+ void draw_eat(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
+ draw_common(cr, notify, width, height, save, timer_stream);
+ init_eat_ctrl_geom(cr, notify, width, height);
+ }
+
+//-----------------------------------------------------------------------------------------
+// Tighten + Eat
+//-----------------------------------------------------------------------------------------
+ void init_tighten_eat()
+ {
+ init_common();
+ handles.push_back(&(sliders[TIGHTEN_NBHD_SIZE]));
+ handles.push_back(&(sliders[TIGHTEN_ITERRATIONS]));
+ handles.push_back(&(sliders[EAT_NBHD_SIZE]));
+ }
+ void init_tighten_eat_ctrl_geom(cairo_t* /*cr*/, std::ostringstream* /*notify*/, int /*width*/, int height)
+ {
+ if ( set_control_geometry ){
+ set_control_geometry = false;
+ sliders[TIGHTEN_NBHD_SIZE ].geometry(Point(50, height - 35*2), 180);
+ sliders[TIGHTEN_ITERRATIONS].geometry(Point(50, height - 35*3), 180);
+ sliders[EAT_NBHD_SIZE ].geometry(Point(50, height - 35*4), 180);
+ }
+ }
+ void fit_tighten_eat(){
+ improved_mouses = mouses;
+ double radius = exp_rescale(sliders[TIGHTEN_NBHD_SIZE].value());
+ for (unsigned i=1; i<=sliders[TIGHTEN_ITERRATIONS].value(); i++){
+ tighten(improved_mouses, radius, toggles[0].on);
+ }
+ stroke = Piecewise<D2<SBasis> >();
+ radius = exp_rescale(sliders[EAT_NBHD_SIZE].value());
+ improved_mouses = eat(improved_mouses, radius);
+ Path p(improved_mouses[0]);
+ for(unsigned i = 1; i < improved_mouses.size(); i++) {
+ p.appendNew<LineSegment>(improved_mouses[i]);
+ }
+ stroke = p.toPwSb();
+ }
+ void draw_tighten_eat(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
+ draw_common(cr, notify, width, height, save, timer_stream);
+ init_tighten_eat_ctrl_geom(cr, notify, width, height);
+ }
+
+//-----------------------------------------------------------------------------------------
+// Sort: tighten, then sort and eventually fuse.
+//-----------------------------------------------------------------------------------------
+ void init_sort()
+ {
+ init_common();
+ handles.push_back(&(sliders[TIGHTEN_NBHD_SIZE]));
+ handles.push_back(&(sliders[TIGHTEN_ITERRATIONS]));
+ handles.push_back(&(sliders[SORT_RADIUS]));
+ handles.push_back(&(sliders[FUSE_RADIUS]));
+ handles.push_back(&(sliders[INTERPOLATE_RADIUS]));
+ handles.push_back(&(toggles[TIGHTEN_USE_CIRCLE]));
+ handles.push_back(&(toggles[SORT_BIS]));
+ }
+ void init_sort_ctrl_geom(cairo_t* /*cr*/, std::ostringstream* /*notify*/, int width, int height)
+ {
+ if ( set_control_geometry ){
+ set_control_geometry = false;
+ sliders[TIGHTEN_NBHD_SIZE].geometry(Point(50, height - 35*2), 180);
+ sliders[TIGHTEN_ITERRATIONS].geometry(Point(50, height - 35*3), 180);
+ sliders[SORT_RADIUS].geometry(Point(50, height - 35*4), 180);
+ sliders[FUSE_RADIUS].geometry(Point(50, height - 35*5), 180);
+ sliders[INTERPOLATE_RADIUS].geometry(Point(50, height - 35*6), 180);
+
+ Point p(width-250, height - 50), d(225,25);
+ toggles[TIGHTEN_USE_CIRCLE].bounds = Rect(p, p + d);
+ p += Point(0,-30);
+ toggles[SORT_BIS].bounds = Rect(p, p + d);
+ }
+ }
+ void fit_sort(){
+ improved_mouses = mouses;
+ double radius = exp_rescale(sliders[TIGHTEN_NBHD_SIZE].value());
+ for (unsigned i=1; i<=sliders[TIGHTEN_ITERRATIONS].value(); i++){
+ tighten(improved_mouses, radius, !toggles[TIGHTEN_USE_CIRCLE].on);
+ }
+ double max_jump = exp_rescale(sliders[SORT_RADIUS].value());
+ if (toggles[SORT_BIS].on){
+ sort_nearest_bis(improved_mouses, max_jump);
+ }else{
+ sort_nearest(improved_mouses, max_jump);
+ }
+ radius = exp_rescale(sliders[FUSE_RADIUS].value());
+ fuse_close_points(improved_mouses, radius);
+
+ radius = exp_rescale(sliders[INTERPOLATE_RADIUS].value());
+ Path p = ordered_fit(improved_mouses, radius/5);
+ stroke = p.toPwSb();
+ }
+ void draw_sort(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
+ draw_common(cr, notify, width, height, save, timer_stream);
+ init_sort_ctrl_geom(cr, notify, width, height);
+
+ if(!improved_mouses.empty() && toggles[DRAW_IMPROVED_MOUSES].on ) {
+ cairo_move_to(cr, improved_mouses[0]);
+ for(unsigned i = 1; i < improved_mouses.size(); i++) {
+ cairo_line_to(cr, improved_mouses[i]);
+ }
+ cairo_set_source_rgba (cr, 1., 0., 0., 1);
+ cairo_set_line_width (cr, .75);
+ cairo_stroke(cr);
+ }
+ }
+
+//-----------------------------------------------------------------------------------------
+// Average curvature.
+//-----------------------------------------------------------------------------------------
+ void init_curvature()
+ {
+ init_common();
+ handles.push_back(&(sliders[CURVATURE_NBHD_SIZE]));
+ handles.push_back(&(sliders[POINT_CHOOSER]));
+ }
+ void init_curvature_ctrl_geom(cairo_t* /*cr*/, std::ostringstream* /*notify*/, int /*width*/, int height)
+ {
+ if ( set_control_geometry ){
+ set_control_geometry = false;
+ sliders[CURVATURE_NBHD_SIZE].geometry(Point(50, height - 60), 180);
+ sliders[POINT_CHOOSER ].geometry(Point(50, height - 90), 180);
+ }
+ }
+ //just for fun!
+ void fit_curvature(){
+ std::vector<double> curvatures(mouses.size(),0);
+ std::vector<double> lengths(mouses.size(),0);
+ for (unsigned i=0; i<mouses.size(); i++){
+ double radius = exp_rescale(sliders[CURVATURE_NBHD_SIZE].value());
+ std::vector<Point> ngbrs = neighbors(mouses,i,radius);
+ if ( ngbrs.size()>2 ){
+ Circle c;
+ c.fit(ngbrs);
+ curvatures[i] = 1./c.radius();
+ Point v = (i<mouses.size()-1) ? mouses[i+1]-mouses[i] : mouses[i]-mouses[i-1];
+ if (cross(v, c.center()-mouses[i]) > 0 )
+ curvatures[i] *= -1;
+ }else{
+ curvatures[i] = 0;
+ }
+ if (i>0){
+ lengths[i] = lengths[i-1] + L2(mouses[i]-mouses[i-1]);
+ }
+ }
+ Piecewise<SBasis> k = interpolate( lengths, curvatures , 1);
+ Piecewise<SBasis> alpha = integral(k);
+ Piecewise<D2<SBasis> > v = sectionize(tan2(alpha));
+ stroke = integral(v) + mouses[0];
+
+ Point sp = stroke.lastValue()-stroke.firstValue();
+ Point mp = mouses.back()-mouses.front();
+ Affine mat1 = Affine(sp[X], sp[Y], -sp[Y], sp[X], stroke.firstValue()[X], stroke.firstValue()[Y]);
+ Affine mat2 = Affine(mp[X], mp[Y], -mp[Y], mp[X], mouses[0][X], mouses[0][Y]);
+ mat1 = mat1.inverse()*mat2;
+ stroke = stroke*mat1;
+
+ }
+ void draw_curvature(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
+ draw_common(cr, notify, width, height, save, timer_stream);
+ init_curvature_ctrl_geom(cr, notify, width, height);
+ if(!mouses.empty()) {
+ double radius = exp_rescale(sliders[CURVATURE_NBHD_SIZE].value());
+ unsigned i = unsigned( (mouses.size()-1)*sliders[POINT_CHOOSER].value()/100. );
+ std::vector<Point> ngbrs = neighbors(mouses,i,radius);
+ if ( ngbrs.size()>2 ){
+ draw_cross(cr, mouses[i]);
+ Circle c;
+ c.fit(ngbrs);
+ cairo_arc(cr, c.center(X), c.center(Y), c.radius(), 0, 2*M_PI);
+ cairo_set_source_rgba (cr, 1., 0., 0., 1);
+ cairo_set_line_width (cr, .75);
+ cairo_stroke(cr);
+ }
+ cairo_pw_d2_sb(cr, stroke);
+ }
+ }
+
+//-----------------------------------------------------------------------------------------
+// Brutal optimization, number of segment fixed.
+//-----------------------------------------------------------------------------------------
+ void init_numerical()
+ {
+ init_common();
+ //sliders.push_back(Slider(0, 10, 1, 1, "Number of curves"));
+ //handles.push_back(&(sliders[0]));
+ }
+ void init_numerical_ctrl_geom(cairo_t* /*cr*/, std::ostringstream* /*notify*/, int /*width*/, int /*height*/)
+ {
+ if ( set_control_geometry ){
+ set_control_geometry = false;
+ //sliders[0].geometry(Point(50, height - 35*(0+2)), 180);
+ }
+ }
+ void fit_numerical(){
+ //Not implemented
+ }
+ void draw_numerical(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
+ draw_common(cr, notify, width, height, save, timer_stream);
+ init_numerical_ctrl_geom(cr, notify, width, height);
+ if(!mouses.empty()) {
+ cairo_pw_d2_sb(cr, stroke);
+ cairo_set_source_rgba (cr, 1., 0., 0., 1);
+ cairo_set_line_width (cr, .75);
+ cairo_stroke(cr);
+ }
+ }
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+
+ void init_help()
+ {
+ handles.clear();
+ //sliders.clear();
+ //toggles.clear();
+ }
+ void draw_help( cairo_t * /*cr*/, std::ostringstream *notify,
+ int /*width*/, int /*height*/, bool /*save*/, std::ostringstream */*timer_stream*/)
+ {
+ *notify << "Tighten:\n";
+ *notify << " move points toward local\n";
+ *notify << " mean square line (or circle).\n";
+ *notify << "Eat:\n";
+ *notify << " eat points like a pacman; at each step, move to the\n";
+ *notify << " average of the not already visited neighbor points.\n";
+ *notify << "Sort:\n";
+ *notify << " move from one point to the nearest one.\n";
+ *notify << " Stop at the first jump longer than sort-radius\n";
+ *notify << "Sort-bis:\n";
+ *notify << " move from one point to the nearest one,\n";
+ *notify << " unless it was 'already visited' (i.e. it is closer to\n";
+ *notify << " an already sorted point with distance < sort-radius.\n";
+ *notify << "Fuse: \n";
+ *notify << " start from first point, remove all points closer to it\n";
+ *notify << " than fuse-radius, move to the first one that is not, and repeat.\n";
+ *notify << "Curvature: \n";
+ *notify << " Compute the curvature at a given point from the circle fitting the\n";
+ *notify << " nearby points (just for fun: the stroke is the 'integral' of this\n";
+ *notify << " average curvature)\n";
+ *notify << "Numerical: \n";
+ *notify << " still waiting for someone to implement me ;-)\n\n";
+ *notify << std::endl;
+ }
+
+//-----------------------------------------------------------------------------------------
+//-----------------------------------------------------------------------------------------
+
+public:
+ vector<Point> mouses;
+ int mouse_drag;
+ vector<Point> improved_mouses;
+ Piecewise<D2<SBasis > > stroke;
+
+ void mouse_pressed(GdkEventButton* e) override {
+ //toggle_events(toggles, e);
+ Toy::mouse_pressed(e);
+ if(!selected) {
+ mouse_drag = 1;
+ if (!(e->state & (GDK_SHIFT_MASK))){
+ mouses.clear();
+ }
+ }
+ }
+
+ void mouse_moved(GdkEventMotion* e) override {
+ if(mouse_drag) {
+ mouses.emplace_back(e->x, e->y);
+ redraw();
+ } else {
+ Toy::mouse_moved(e);
+ }
+ }
+
+ void mouse_released(GdkEventButton* e) override {
+ mouse_drag = 0;
+ if(!mouses.empty()) {
+ (this->*fit_f)();
+ }
+ Toy::mouse_released(e);
+ }
+
+ void init_menu()
+ {
+ handles.clear();
+ //sliders.clear();
+ //toggles.clear();
+ }
+ void draw_menu( cairo_t * cr, std::ostringstream *notify,
+ int /*width*/, int /*height*/, bool /*save*/, std::ostringstream */*timer_stream*/)
+ {
+ *notify << "Sketch some shape on canvas (press SHIFT to use several 'strokes')\n";
+ *notify << "Each menu below will transform your input.\n";
+ *notify << "Press 'Z' to make the result the new input\n";
+ *notify << " \n \n \n";
+ *notify << std::endl;
+ for (int i = SHOW_MENU; i < TOTAL_ITEMS; ++i)
+ {
+ *notify << " " << keys[i] << " - " << menu_items[i] << std::endl;
+ }
+ if(!mouses.empty()) {
+ cairo_move_to(cr, mouses[0]);
+ for(auto & mouse : mouses) {
+ cairo_line_to(cr, mouse);
+ }
+ for(auto & mouse : mouses) {
+ draw_cross(cr, mouse);
+ }
+ cairo_set_source_rgba (cr, 0., 0., 0., .25);
+ cairo_set_line_width (cr, 0.5);
+ cairo_stroke(cr);
+ }
+ }
+
+ void key_hit(GdkEventKey *e) override
+ {
+ char choice = std::toupper(e->keyval);
+ switch ( choice )
+ {
+ case 'A':
+ init_menu();
+ draw_f = &SketchFitterToy::draw_menu;
+ break;
+ case 'B':
+ init_tighten();
+ fit_f = &SketchFitterToy::fit_tighten;
+ draw_f = &SketchFitterToy::draw_tighten;
+ break;
+ case 'C':
+ init_eat();
+ fit_f = &SketchFitterToy::fit_eat;
+ draw_f = &SketchFitterToy::draw_eat;
+ break;
+ case 'D':
+ init_tighten_eat();
+ fit_f = &SketchFitterToy::fit_tighten_eat;
+ draw_f = &SketchFitterToy::draw_tighten_eat;
+ break;
+ case 'E':
+ init_sort();
+ fit_f = &SketchFitterToy::fit_sort;
+ draw_f = &SketchFitterToy::draw_sort;
+ break;
+ case 'F':
+ init_curvature();
+ fit_f = &SketchFitterToy::fit_curvature;
+ draw_f = &SketchFitterToy::draw_curvature;
+ break;
+ case 'G':
+ init_numerical();
+ fit_f = &SketchFitterToy::fit_numerical;
+ draw_f = &SketchFitterToy::draw_numerical;
+ break;
+ case 'H':
+ init_help();
+ draw_f = &SketchFitterToy::draw_help;
+ break;
+ case 'Z':
+ mouses = improved_mouses;
+ break;
+ }
+ redraw();
+ }
+
+ void draw( cairo_t *cr, std::ostringstream *notify,
+ int width, int height, bool save, std::ostringstream *timer_stream ) override
+ {
+ m_width = width;
+ m_height = height;
+ m_length = (m_width > m_height) ? m_width : m_height;
+ m_length *= 2;
+ (this->*draw_f)(cr, notify, width, height, save, timer_stream);
+ Toy::draw(cr, notify, width, height, save, timer_stream);
+ }
+
+
+ public:
+ SketchFitterToy()
+ {
+ srand ( time(NULL) );
+ sliders = std::vector<Slider>(TOTAL_SLIDERS, Slider(0., 1., 0, 0., ""));
+
+ sliders[TIGHTEN_NBHD_SIZE ] = Slider(0., 1., 0, 0.65, "neighborhood size");
+ sliders[TIGHTEN_NBHD_SIZE ].formatter(&exp_formatter);
+ sliders[TIGHTEN_ITERRATIONS] = Slider(0, 10, 1, 3, "iterrations");
+ sliders[EAT_NBHD_SIZE ] = Slider(0., 1., 0, 0.65, "eating neighborhood size");
+ sliders[EAT_NBHD_SIZE ].formatter(&exp_formatter);
+ sliders[SORT_RADIUS ] = Slider(0., 1., 0, 0.65, "sort radius");
+ sliders[SORT_RADIUS ].formatter(&exp_formatter);
+ sliders[FUSE_RADIUS ] = Slider(0., 1., 0, 0.65, "fuse radius");
+ sliders[FUSE_RADIUS ].formatter(&exp_formatter);
+ sliders[INTERPOLATE_RADIUS ] = Slider(0., 1., 0, 0.65, "intrepolate precision");
+ sliders[INTERPOLATE_RADIUS ].formatter(&exp_formatter);
+ sliders[CURVATURE_NBHD_SIZE] = Slider(0., 1., 0, 0.65, "curvature nbhd size");
+ sliders[CURVATURE_NBHD_SIZE].formatter(&exp_formatter);
+ sliders[POINT_CHOOSER ] = Slider(0, 100, 0, 50, "Point chooser(%)");
+
+ toggles = std::vector<Toggle>(TOTAL_TOGGLES, Toggle("",true));
+ toggles[DRAW_MOUSES] = Toggle("Draw mouses",true);
+ toggles[DRAW_IMPROVED_MOUSES] = Toggle("Draw new mouses",true);
+ toggles[DRAW_STROKE] = Toggle("Draw stroke",true);
+ toggles[TIGHTEN_USE_CIRCLE] = Toggle("Tighten: use circle",false);
+ toggles[SORT_BIS ] = Toggle("Sort: bis",false);
+ }
+
+ private:
+ typedef void (SketchFitterToy::* draw_func_t) (cairo_t*, std::ostringstream*, int, int, bool, std::ostringstream*);
+ draw_func_t draw_f;
+ typedef void (SketchFitterToy::* fit_func_t) ();
+ fit_func_t fit_f;
+ bool set_common_control_geometry;
+ bool set_control_geometry;
+ std::vector<Toggle> toggles;
+ std::vector<Slider> sliders;
+ double m_width, m_height, m_length;
+
+}; // end class SketchFitterToy
+
+
+const char* SketchFitterToy::menu_items[] =
+{
+ "show this menu",
+ "tighten",
+ "eat points step by step",
+ "tighten + eat",
+ "tighten + sort + fuse",
+ "curvature",
+ "numerical",
+ "help",
+};
+
+const char SketchFitterToy::keys[] =
+{
+ 'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H'
+};
+
+int main(int argc, char **argv) {
+ init(argc, argv, new SketchFitterToy);
+ return 0;
+}
+
+/*
+ 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:encoding = utf-8:textwidth = 99 :