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1 /*
2 This file is part of I am car.
3
4 I am car is free software: you can redistribute it and/or modify
5 it under the terms of the GNU General Public License as published by
6 the Free Software Foundation, either version 3 of the License, or
7 (at your option) any later version.
8
9 I am car is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
12 GNU General Public License for more details.
13
14 You should have received a copy of the GNU General Public License
15 along with I am car. If not, see <http://www.gnu.org/licenses/>.
16 */
17
18 #include <cmath>
19 #include "obstacle.h"
20
21 float CircleObstacle::r()
22 {
23         return this->h();
24 }
25
26 bool CircleObstacle::collide(RRTNode *n)
27 {
28         float xx = n->x() - this->x();
29         xx *= xx;
30         float yy = n->y() - this->y();
31         yy *= yy;
32         float rr = this->r() * this->r();
33         if (xx + yy <= rr) {
34                 return true;
35         }
36         return false;
37 }
38
39 bool CircleObstacle::collide(RRTEdge *e)
40 {
41         std::vector<RRTEdge *> edges;
42         edges.push_back(e);
43         return this->collide(edges);
44 }
45
46 bool CircleObstacle::collide(std::vector<RRTEdge *> &edges)
47 {
48         std::vector<RRTEdge *> bedges;
49         float radi = this->r() / cos(M_PI / 4); // TODO 4 is square
50         float angl = 2 * M_PI / 4;
51         float x1;
52         float y1;
53         float x2;
54         float y2;
55         int i;
56         for (i = 0; i < 4; i++) {
57                 x1 = radi * cos(i * angl);
58                 y1 = radi * sin(i * angl);
59                 x2 = radi * cos((i + 1) * angl);
60                 y2 = radi * sin((i + 1) * angl);
61                 x1 += this->x();
62                 y1 += this->y();
63                 x2 += this->x();
64                 y2 += this->y();
65                 bedges.push_back(new RRTEdge(
66                                         new RRTNode(x1, y1, 0),
67                                         new RRTNode(x2, y2, 0)));
68         }
69         for (auto &be: bedges) {
70                 for (auto &e: edges) {
71                         if (SegmentObstacle(
72                                                 be->init(),
73                                                 be->goal())
74                                         .collide(e)) {
75                                 for (auto e: bedges) {
76                                         delete e->init();
77                                         delete e->goal();
78                                         delete e;
79                                 }
80                                 return true;
81                         }
82                 }
83         }
84         for (auto e: bedges) {
85                 delete e->init();
86                 delete e->goal();
87                 delete e;
88         }
89         return false;
90 }
91
92 float CircleObstacle::dist_to(RRTNode *n)
93 {
94         float xx = n->x() - this->x();
95         xx *= xx;
96         float yy = n->y() - this->y();
97         yy *= yy;
98         return (float) (sqrt(xx + yy) - this->r());
99 }
100
101 void PolygonObstacle::add_bnode(RRTNode *n)
102 {
103         this->bnodes_.push_back(n);
104 }
105
106 bool PolygonObstacle::collide(RRTNode *n)
107 {
108         // From substack/point-in-polygon, see
109         // https://github.com/substack/point-in-polygon/blob/master/index.js
110         bool inside = false;
111         unsigned int i;
112         int j;
113         for (i = 0, j = this->bnodes_.size() - 1;
114                         i < this->bnodes_.size();
115                         j = i++) {
116                 float xi = this->bnodes_[i]->x();
117                 float yi = this->bnodes_[i]->y();
118                 float xj = this->bnodes_[j]->x();
119                 float yj = this->bnodes_[j]->y();
120                 bool intersect = ((yi > n->y()) != (yj > n->y())) &&
121                         (n->x() < (xj - xi) * (n->y() - yi) / (yj - yi) + xi);
122                 if (intersect)
123                         inside = !inside;
124         }
125         return inside;
126 }
127
128 bool PolygonObstacle::collide(RRTEdge *e)
129 {
130         return false;
131 }
132
133 bool PolygonObstacle::collide(std::vector<RRTEdge *> &edges)
134 {
135         return false;
136 }
137
138 float PolygonObstacle::dist_to(RRTNode *n)
139 {
140         return 0;
141 }
142
143 std::vector<RRTNode *> &PolygonObstacle::bnodes()
144 {
145         return this->bnodes_;
146 }
147
148 bool SegmentObstacle::collide(RRTNode *n)
149 {
150         return false;
151 }
152
153 bool SegmentObstacle::collide(RRTEdge *e)
154 {
155         // see https://en.wikipedia.org/wiki/Line%E2%80%93line_intersection
156         float x1 = this->init()->x();
157         float y1 = this->init()->y();
158         float x2 = this->goal()->x();
159         float y2 = this->goal()->y();
160         float x3 = e->init()->x();
161         float y3 = e->init()->y();
162         float x4 = e->goal()->x();
163         float y4 = e->goal()->y();
164         float deno = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);
165         if (deno == 0) {
166                 return false; // parallel
167         }
168         //return true; // colliding lines, not line segments
169         //float px = (x1 * y2 - y1 * x2) * (x3 - x4) -
170         //        (x1 - x2) * (x3 * y4 - y3 * x4);
171         //px /= deno;
172         //float py = (x1 * y2 - y1 * x2) * (y3 - y4) -
173         //        (y1 - y2) * (x3 * y4 - y3 * x4);
174         //py /= deno;
175         float s = (x1 - x3) * (y3 - y4) - (y1 - y3) * (x3 - x4);
176         s /= deno;
177         if (s < 0 || s > 1) {
178                 return false;
179         }
180         float t = (x1 - x2) * (y1 - y3) - (y1 - y2) * (x1 - x3);
181         t *= -1;
182         t /= deno;
183         if (t < 0 || t > 1) {
184                 return false;
185         }
186         return true;
187 }
188
189 bool SegmentObstacle::collide(std::vector<RRTEdge *> &edges)
190 {
191         for (auto &e: edges) {
192                 if (this->collide(e)) {
193                         return true;
194                 }
195         }
196         return false;
197 }
198
199 float SegmentObstacle::dist_to(RRTNode *n)
200 {
201         // see https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line
202         float x1 = this->init()->x();
203         float y1 = this->init()->y();
204         float x2 = this->goal()->x();
205         float y2 = this->goal()->y();
206         float x0 = n->x();
207         float y0 = n->y();
208         float nume = (y2 - y1) * x0 - (x2 - x1) * y0 + x2 * y1 - y2 * x1;
209         nume = std::abs(nume);
210         float deno = sqrt(pow(y2 - y1, 2) + pow(x2 - x1, 2));
211         return nume / deno;
212 }