1 #include <2geom/d2.h>
2 #include <2geom/sbasis.h>
3 #include <2geom/sbasis-geometric.h>
4 #include <2geom/sbasis-2d.h>
5 #include <2geom/bezier-to-sbasis.h>
6 #include <2geom/transforms.h>
7 #include <2geom/sbasis-math.h>
8
9 #include <toys/path-cairo.h>
10 #include <toys/toy-framework-2.h>
11 #include <2geom/path.h>
12 #include <2geom/svg-path-parser.h>
13
14 #include <gsl/gsl_matrix.h>
15
16 #include <vector>
17 using std::vector;
18 using namespace Geom;
19 using namespace std;
20
21 unsigned total_pieces_sub;
22 unsigned total_pieces_inc;
23
cairo_pw(cairo_t * cr,Piecewise<SBasis> p)24 void cairo_pw(cairo_t *cr, Piecewise<SBasis> p) {
25 for(unsigned i = 0; i < p.size(); i++) {
26 D2<SBasis> B;
27 B[0] = Linear(p.cuts[i], p.cuts[i+1]);
28 B[1] = p[i];
29 cairo_d2_sb(cr, B);
30 }
31 }
32
draw_line(cairo_t * cr,Geom::Point n,double d)33 void draw_line(cairo_t* cr, Geom::Point n, double d) {
34 cairo_move_to(cr, d*n + rot90(n)*1000);
35 cairo_line_to(cr, d*n - rot90(n)*1000);
36 cairo_move_to(cr, d*n);
37 cairo_line_to(cr, (d+10)*n);
38 }
39
40 class InnerProductClip: public Toy {
41 Path path_a;
42 Piecewise<D2<SBasis> > path_a_pw;
43 std::vector<Toggle> togs;
44 PointHandle start_handle, end_handle;
45
draw(cairo_t * cr,std::ostringstream * notify,int width,int height,bool save,std::ostringstream * timer_stream)46 void draw(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) {
47 cairo_set_source_rgba (cr, 0., 0.125, 0, 1);
48
49 D2<Piecewise<SBasis> > B = make_cuts_independent(path_a_pw);
50
51 Point n;
52 double d;
53 {
54 double x = width - 60, y = height - 60;
55 Point p(x, y), dpoint(25,25), xo(25,0), yo(0,25);
56 togs[0].bounds = Rect(p, p + dpoint);
57 togs[1].bounds = Rect(p + xo, p + xo + dpoint);
58 draw_toggles(cr, togs);
59 }
60 if(togs[0].on) {
61 d = L2(end_handle.pos - start_handle.pos);
62 cairo_save(cr);
63 cairo_set_line_width(cr, 0.3);
64 cairo_new_sub_path(cr);
65 cairo_arc(cr, start_handle.pos[0], start_handle.pos[1], d, 0, M_PI*2);
66 cairo_stroke(cr);
67 cairo_restore(cr);
68 } else {
69 n = unit_vector(rot90(end_handle.pos - start_handle.pos));
70 d = dot(n, start_handle.pos);
71 draw_line(cr, n, d);
72 }
73 //printf("%g\n", d);
74
75 vector<double> all_roots;
76 for(unsigned i = 0; i <= path_a.size(); i++) {
77 //deriv = p[i].derivative();
78 D2<SBasis> curpw = path_a[i].toSBasis();
79 SBasis inner;
80 if(togs[0].on) {
81 D2<SBasis> test = curpw - start_handle.pos;
82 inner = test[0]*test[0] + test[0]*test[1] + 2*test[1]*test[1] - d*d;
83 } else {
84 inner = n[0]*curpw[0] + n[1]*curpw[1] - d;
85 }
86 vector<double> lr = roots(inner);
87 all_roots.insert(all_roots.end(), lr.begin(), lr.end());
88 for(unsigned i = 0; i < lr.size(); i++)
89 draw_handle(cr, curpw(lr[i]));
90 sort(lr.begin(), lr.end());
91 lr.insert(lr.begin(), 0);
92 lr.insert(lr.end(), 1);
93 Path out;
94 for(unsigned j = 0; j < lr.size()-1; j++) {
95 //Point s = curpw(lr[j]);
96 Point m = curpw((lr[j] + lr[j+1])/2);
97 if(togs[0].on)
98 m -= start_handle.pos;
99 //Point e = curpw(lr[j+1]);
100 double dd;
101 if(togs[0].on)
102 //dd = dot(m, m) - d*d;
103 dd = m[0]*m[0] + m[0]*m[1] + 2*m[1]*m[1] - d*d;
104 else
105 dd = dot(n, m) - d;
106 if(togs[1].on)
107 dd = -dd;
108 //printf("%d [%g, %g] %g (%g, %g) (%g, %g)\n",
109 // i, lr[j], lr[j+1], dd, s[0], s[1], e[0], e[1]);
110 if(0 > dd) {
111 //Curve * cv = path_a[i].portion(lr[j], lr[j+1]);
112 cairo_d2_sb(cr, portion(curpw, lr[j], lr[j+1]));
113 cairo_set_source_rgba (cr, 0., 0.125, 0, 1);
114 cairo_stroke(cr);
115 /*cairo_curve(cr, path_a[i]);
116 cairo_set_source_rgba (cr, 0., 0.125, 0, 1);
117 cairo_stroke(cr);*/
118 }
119
120 }
121 }
122
123 //cairo_pw_d2_sb(cr, path_a_pw);
124 cairo_set_source_rgba (cr, 0., 0.125, 0, 1);
125 cairo_stroke(cr);
126
127 Toy::draw(cr, notify, width, height, save,timer_stream);
128 }
key_hit(GdkEventKey * e)129 void key_hit(GdkEventKey *e) {
130 if(e->keyval == 's') togs[1].toggle(); else
131 if(e->keyval == 'c') togs[0].toggle();
132 redraw();
133 }
mouse_pressed(GdkEventButton * e)134 void mouse_pressed(GdkEventButton* e) {
135 toggle_events(togs, e);
136 Toy::mouse_pressed(e);
137 }
first_time(int argc,char ** argv)138 void first_time(int argc, char** argv) {
139 const char *path_a_name="star.svgd";
140 if(argc > 1)
141 path_a_name = argv[1];
142 PathVector paths_a = read_svgd(path_a_name);
143 assert(paths_a.size() > 0);
144 path_a = paths_a[0];
145
146 path_a.close(true);
147 path_a_pw = path_a.toPwSb();
148
149 // Finite images of the three vanishing points and the origin
150 handles.push_back(&start_handle);
151 handles.push_back(&end_handle);
152 togs.push_back(Toggle("C", true));
153 togs.push_back(Toggle("S", true));
154 }
155 public:
InnerProductClip()156 InnerProductClip() : start_handle(150,300),
157 end_handle(380,40) {}
158 };
159
main(int argc,char ** argv)160 int main(int argc, char **argv) {
161 init(argc, argv, new InnerProductClip);
162 return 0;
163 }
164
165 /*
166 Local Variables:
167 mode:c++
168 c-file-style:"stroustrup"
169 c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
170 indent-tabs-mode:nil
171 fill-column:99
172 End:
173 */
174 // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :
175