#include <2geom/d2.h> #include <2geom/sbasis.h> #include <2geom/sbasis-geometric.h> #include <2geom/sbasis-2d.h> #include <2geom/bezier-to-sbasis.h> #include <2geom/transforms.h> #include <2geom/sbasis-math.h> #include #include #include <2geom/path.h> #include <2geom/svg-path-parser.h> #include #include using std::vector; using namespace Geom; using namespace std; unsigned total_pieces_sub; unsigned total_pieces_inc; void cairo_pw(cairo_t *cr, Piecewise p) { for(unsigned i = 0; i < p.size(); i++) { D2 B; B[0] = Linear(p.cuts[i], p.cuts[i+1]); B[1] = p[i]; cairo_d2_sb(cr, B); } } void draw_line(cairo_t* cr, Geom::Point n, double d) { cairo_move_to(cr, d*n + rot90(n)*1000); cairo_line_to(cr, d*n - rot90(n)*1000); cairo_move_to(cr, d*n); cairo_line_to(cr, (d+10)*n); } class InnerProductClip: public Toy { Path path_a; Piecewise > path_a_pw; std::vector togs; PointHandle start_handle, end_handle; void draw(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) override { cairo_set_source_rgba (cr, 0., 0.125, 0, 1); D2 > B = make_cuts_independent(path_a_pw); Point n; double d; { double x = width - 60, y = height - 60; Point p(x, y), dpoint(25,25), xo(25,0), yo(0,25); togs[0].bounds = Rect(p, p + dpoint); togs[1].bounds = Rect(p + xo, p + xo + dpoint); draw_toggles(cr, togs); } if(togs[0].on) { d = L2(end_handle.pos - start_handle.pos); cairo_save(cr); cairo_set_line_width(cr, 0.3); cairo_new_sub_path(cr); cairo_arc(cr, start_handle.pos[0], start_handle.pos[1], d, 0, M_PI*2); cairo_stroke(cr); cairo_restore(cr); } else { n = unit_vector(rot90(end_handle.pos - start_handle.pos)); d = dot(n, start_handle.pos); draw_line(cr, n, d); } //printf("%g\n", d); vector all_roots; for(unsigned i = 0; i <= path_a.size(); i++) { //deriv = p[i].derivative(); D2 curpw = path_a[i].toSBasis(); SBasis inner; if(togs[0].on) { D2 test = curpw - start_handle.pos; inner = test[0]*test[0] + test[0]*test[1] + 2*test[1]*test[1] - d*d; } else { inner = n[0]*curpw[0] + n[1]*curpw[1] - d; } vector lr = roots(inner); all_roots.insert(all_roots.end(), lr.begin(), lr.end()); for(double i : lr) draw_handle(cr, curpw(i)); sort(lr.begin(), lr.end()); lr.insert(lr.begin(), 0); lr.insert(lr.end(), 1); Path out; for(unsigned j = 0; j < lr.size()-1; j++) { //Point s = curpw(lr[j]); Point m = curpw((lr[j] + lr[j+1])/2); if(togs[0].on) m -= start_handle.pos; //Point e = curpw(lr[j+1]); double dd; if(togs[0].on) //dd = dot(m, m) - d*d; dd = m[0]*m[0] + m[0]*m[1] + 2*m[1]*m[1] - d*d; else dd = dot(n, m) - d; if(togs[1].on) dd = -dd; //printf("%d [%g, %g] %g (%g, %g) (%g, %g)\n", // i, lr[j], lr[j+1], dd, s[0], s[1], e[0], e[1]); if(0 > dd) { //Curve * cv = path_a[i].portion(lr[j], lr[j+1]); cairo_d2_sb(cr, portion(curpw, lr[j], lr[j+1])); cairo_set_source_rgba (cr, 0., 0.125, 0, 1); cairo_stroke(cr); /*cairo_curve(cr, path_a[i]); cairo_set_source_rgba (cr, 0., 0.125, 0, 1); cairo_stroke(cr);*/ } } } //cairo_pw_d2_sb(cr, path_a_pw); cairo_set_source_rgba (cr, 0., 0.125, 0, 1); cairo_stroke(cr); Toy::draw(cr, notify, width, height, save,timer_stream); } void key_hit(GdkEventKey *e) override { if(e->keyval == 's') togs[1].toggle(); else if(e->keyval == 'c') togs[0].toggle(); redraw(); } void mouse_pressed(GdkEventButton* e) override { toggle_events(togs, e); Toy::mouse_pressed(e); } void first_time(int argc, char** argv) override { const char *path_a_name="star.svgd"; if(argc > 1) path_a_name = argv[1]; PathVector paths_a = read_svgd(path_a_name); assert(paths_a.size() > 0); path_a = paths_a[0]; path_a.close(true); path_a_pw = path_a.toPwSb(); // Finite images of the three vanishing points and the origin handles.push_back(&start_handle); handles.push_back(&end_handle); togs.emplace_back("C", true); togs.emplace_back("S", true); } public: InnerProductClip() : start_handle(150,300), end_handle(380,40) {} }; int main(int argc, char **argv) { init(argc, argv, new InnerProductClip); 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:fileencoding=utf-8:textwidth=99 :