author | alfadur |
Sat, 03 Nov 2018 06:45:05 +0300 | |
changeset 14115 | 21642eb0ff29 |
parent 14114 | 913be386b413 |
child 14116 | 269f13ac670d |
permissions | -rw-r--r-- |
14074 | 1 |
use itertools::Itertools; |
14086 | 2 |
use std::cmp::min; |
14074 | 3 |
|
14083 | 4 |
use integral_geometry::{Line, Point, Rect, Size}; |
14074 | 5 |
use land2d::Land2D; |
6 |
||
7 |
use outline_template::OutlineTemplate; |
|
8 |
||
9 |
pub struct OutlinePoints { |
|
10 |
pub islands: Vec<Vec<Point>>, |
|
11 |
pub fill_points: Vec<Point>, |
|
12 |
pub size: Size, |
|
14083 | 13 |
pub play_box: Rect, |
14074 | 14 |
} |
15 |
||
16 |
impl OutlinePoints { |
|
17 |
pub fn from_outline_template<I: Iterator<Item = u32>>( |
|
18 |
outline_template: &OutlineTemplate, |
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14083 | 19 |
play_box: Rect, |
20 |
size: Size, |
|
14074 | 21 |
random_numbers: &mut I, |
22 |
) -> Self { |
|
23 |
Self { |
|
14083 | 24 |
play_box, |
25 |
size, |
|
14074 | 26 |
islands: outline_template |
27 |
.islands |
|
28 |
.iter() |
|
29 |
.map(|i| { |
|
30 |
i.iter() |
|
31 |
.zip(random_numbers.tuples()) |
|
32 |
.map(|(rect, (rnd_a, rnd_b))| { |
|
14083 | 33 |
rect.top_left() |
34 |
+ Point::new( |
|
35 |
(rnd_a % rect.width) as i32, |
|
36 |
(rnd_b % rect.height) as i32, |
|
37 |
) |
|
38 |
+ play_box.top_left() |
|
14074 | 39 |
}).collect() |
40 |
}).collect(), |
|
41 |
fill_points: outline_template.fill_points.clone(), |
|
42 |
} |
|
43 |
} |
|
44 |
||
45 |
pub fn total_len(&self) -> usize { |
|
46 |
self.islands.iter().map(|i| i.len()).sum::<usize>() + self.fill_points.len() |
|
47 |
} |
|
48 |
||
14105 | 49 |
pub fn iter(&self) -> impl Iterator<Item = &Point> { |
50 |
self.islands |
|
51 |
.iter() |
|
52 |
.flat_map(|i| i.iter()) |
|
53 |
.chain(self.fill_points.iter()) |
|
54 |
} |
|
55 |
||
14074 | 56 |
pub fn iter_mut(&mut self) -> impl Iterator<Item = &mut Point> { |
57 |
self.islands |
|
58 |
.iter_mut() |
|
59 |
.flat_map(|i| i.iter_mut()) |
|
60 |
.chain(self.fill_points.iter_mut()) |
|
61 |
} |
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62 |
||
63 |
fn divide_edge<I: Iterator<Item = u32>>( |
|
64 |
&self, |
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65 |
segment: Line, |
14105 | 66 |
distance_divisor: u32, |
14074 | 67 |
random_numbers: &mut I, |
68 |
) -> Option<Point> { |
|
14105 | 69 |
#[inline] |
70 |
fn intersect(p: &Point, m: &Point, p1: &Point, p2: &Point) -> bool { |
|
14114 | 71 |
let t1 = (*m - *p1).cross(*p); |
72 |
let t2 = (*m - *p2).cross(*p); |
|
14105 | 73 |
|
74 |
(t1 > 0) != (t2 > 0) |
|
75 |
} |
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76 |
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77 |
#[inline] |
|
78 |
fn solve_intersection(p: &Point, m: &Point, s: &Point, e: &Point) -> Option<(i32, u32)> { |
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79 |
let f = *e - *s; |
|
14113 | 80 |
let aqpb = p.cross(f) as i64; |
14105 | 81 |
|
82 |
if aqpb != 0 { |
|
83 |
let iy = ((((s.x - m.x) as i64 * p.y as i64 + m.y as i64 * p.x as i64) |
|
84 |
* f.y as i64 |
|
85 |
- s.y as i64 * f.x as i64 * p.y as i64) |
|
86 |
/ aqpb) as i32; |
|
87 |
let ix = if p.y.abs() > f.y.abs() { |
|
88 |
(iy - m.y) * p.x / p.y + m.x |
|
89 |
} else { |
|
90 |
(iy - s.y) * f.x / f.y + s.x |
|
91 |
}; |
|
92 |
||
93 |
let intersection_point = Point::new(ix, iy); |
|
94 |
let diff_point = *m - intersection_point; |
|
95 |
let d = diff_point.integral_norm(); |
|
14113 | 96 |
let t = p.dot(diff_point); |
14105 | 97 |
|
98 |
Some((t, d)) |
|
99 |
} else { |
|
100 |
None |
|
101 |
} |
|
102 |
} |
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103 |
||
14086 | 104 |
let min_distance = 40; |
105 |
// new point should fall inside this box |
|
106 |
let map_box = self.play_box.with_margin(min_distance); |
|
107 |
||
14112 | 108 |
let p = segment.scaled_normal(); |
14086 | 109 |
let mid_point = segment.center(); |
110 |
||
14110 | 111 |
if (p.integral_norm() < min_distance as u32 * 3) || !map_box.contains_inside(mid_point) { |
14086 | 112 |
return None; |
113 |
} |
|
114 |
||
115 |
let mut dist_left = (self.size.width + self.size.height) as u32; |
|
116 |
let mut dist_right = dist_left; |
|
117 |
||
118 |
// find distances to map borders |
|
119 |
if p.x != 0 { |
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// where the normal line intersects the left map border |
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121 |
let left_intersection = Point::new( |
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map_box.left(), |
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(map_box.left() - mid_point.x) * p.y / p.x + mid_point.y); |
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dist_left = (mid_point - left_intersection).integral_norm(); |
14086 | 125 |
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// same for the right border |
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let right_intersection = Point::new( |
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128 |
map_box.right(), |
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129 |
(map_box.right() - mid_point.x) * p.y / p.x + mid_point.y); |
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dist_right = (mid_point - right_intersection).integral_norm(); |
14086 | 131 |
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132 |
if p.dot(mid_point - left_intersection) < 0 { |
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133 |
std::mem::swap(&mut dist_left, &mut dist_right); |
14086 | 134 |
} |
135 |
} |
|
136 |
||
137 |
if p.y != 0 { |
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// where the normal line intersects the top map border |
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139 |
let top_intersection = Point::new( |
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(map_box.top() - mid_point.y) * p.x / p.y + mid_point.x, |
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141 |
map_box.top()); |
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142 |
let dl = (mid_point - top_intersection).integral_norm(); |
14086 | 143 |
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// same for the bottom border |
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let bottom_intersection = Point::new( |
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146 |
(map_box.bottom() - mid_point.y) * p.x / p.y + mid_point.x, |
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147 |
map_box.bottom()); |
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148 |
let dr = (mid_point - bottom_intersection).integral_norm(); |
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150 |
if p.dot(mid_point - top_intersection) > 0 { |
14086 | 151 |
dist_left = min(dist_left, dl); |
152 |
dist_right = min(dist_right, dr); |
|
153 |
} else { |
|
154 |
dist_left = min(dist_left, dr); |
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dist_right = min(dist_right, dl); |
14086 | 156 |
} |
157 |
} |
|
158 |
||
159 |
// now go through all other segments |
|
14105 | 160 |
for s in self.segments_iter() { |
161 |
if s != segment { |
|
162 |
if intersect(&p, &mid_point, &s.start, &s.end) { |
|
163 |
if let Some((t, d)) = solve_intersection(&p, &mid_point, &s.start, &s.end) { |
|
164 |
if t > 0 { |
|
165 |
dist_left = min(d, dist_left); |
|
166 |
} else { |
|
167 |
dist_right = min(d, dist_right); |
|
168 |
} |
|
169 |
} |
|
170 |
} |
|
171 |
} |
|
172 |
} |
|
14086 | 173 |
|
14105 | 174 |
// go through all points, including fill points |
175 |
for pi in self.iter() { |
|
176 |
if *pi != segment.start && *pi != segment.end { |
|
177 |
if intersect(&p, &pi, &segment.start, &segment.end) { |
|
178 |
// ray from segment.start |
|
179 |
if let Some((t, d)) = solve_intersection(&p, &mid_point, &segment.start, &pi) { |
|
180 |
if t > 0 { |
|
181 |
dist_left = min(d, dist_left); |
|
182 |
} else { |
|
183 |
dist_right = min(d, dist_right); |
|
184 |
} |
|
185 |
} |
|
186 |
||
187 |
// ray from segment.end |
|
188 |
if let Some((t, d)) = solve_intersection(&p, &mid_point, &segment.end, &pi) { |
|
189 |
if t > 0 { |
|
190 |
dist_left = min(d, dist_left); |
|
191 |
} else { |
|
192 |
dist_right = min(d, dist_right); |
|
193 |
} |
|
194 |
} |
|
195 |
} |
|
196 |
} |
|
197 |
} |
|
198 |
||
199 |
let max_dist = p.integral_norm() * 100 / distance_divisor; |
|
200 |
dist_left = min(dist_left, max_dist); |
|
201 |
dist_right = min(dist_right, max_dist); |
|
202 |
||
203 |
if dist_right + dist_left < min_distance as u32 * 2 + 10 { |
|
204 |
// limits are too narrow, just divide |
|
205 |
Some(mid_point) |
|
206 |
} else { |
|
207 |
// select distance within [-dist_left; dist_right], keeping min_distance in mind |
|
208 |
let d = -(dist_left as i32) |
|
209 |
+ min_distance |
|
210 |
+ random_numbers.next().unwrap() as i32 |
|
211 |
% (dist_right as i32 + dist_left as i32 - min_distance * 2); |
|
212 |
||
213 |
Some(Point::new( |
|
214 |
mid_point.x + p.x * d / distance_divisor as i32, |
|
215 |
mid_point.y + p.y * d / distance_divisor as i32, |
|
216 |
)) |
|
217 |
} |
|
14074 | 218 |
} |
219 |
||
14105 | 220 |
fn divide_edges<I: Iterator<Item = u32>>( |
221 |
&mut self, |
|
222 |
distance_divisor: u32, |
|
223 |
random_numbers: &mut I, |
|
224 |
) { |
|
14074 | 225 |
for is in 0..self.islands.len() { |
226 |
let mut i = 0; |
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227 |
let mut segment; |
14074 | 228 |
|
229 |
loop { |
|
230 |
{ |
|
231 |
let island = &self.islands[is]; |
|
14081
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232 |
let mut end_point; |
14074 | 233 |
if i < island.len() { |
234 |
end_point = if i + 1 < island.len() { |
|
235 |
island[i + 1] |
|
236 |
} else { |
|
237 |
island[0] |
|
238 |
}; |
|
239 |
} else { |
|
14081
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240 |
break; |
14074 | 241 |
} |
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242 |
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243 |
segment = Line::new(island[i], end_point); |
14074 | 244 |
} |
245 |
||
14105 | 246 |
if let Some(new_point) = self.divide_edge(segment, distance_divisor, random_numbers) |
247 |
{ |
|
14074 | 248 |
self.islands[is].insert(i + 1, new_point); |
249 |
i += 2; |
|
250 |
} else { |
|
251 |
i += 1; |
|
252 |
} |
|
253 |
} |
|
254 |
} |
|
255 |
} |
|
256 |
||
14105 | 257 |
pub fn bezierize(&mut self) {} |
14074 | 258 |
|
14105 | 259 |
pub fn distort<I: Iterator<Item = u32>>( |
260 |
&mut self, |
|
261 |
distance_divisor: u32, |
|
262 |
random_numbers: &mut I, |
|
263 |
) { |
|
14074 | 264 |
loop { |
265 |
let old_len = self.total_len(); |
|
14105 | 266 |
self.divide_edges(distance_divisor, random_numbers); |
14074 | 267 |
|
14098 | 268 |
if self.total_len() == old_len { |
14074 | 269 |
break; |
270 |
} |
|
271 |
} |
|
272 |
||
273 |
self.bezierize(); |
|
274 |
} |
|
275 |
||
276 |
pub fn draw<T: Copy + PartialEq>(&self, land: &mut Land2D<T>, value: T) { |
|
14081
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277 |
for segment in self.segments_iter() { |
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278 |
land.draw_line(segment, value); |
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279 |
} |
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280 |
} |
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282 |
fn segments_iter(&self) -> OutlineSegmentsIterator { |
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283 |
OutlineSegmentsIterator { |
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284 |
outline: self, |
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285 |
island: 0, |
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286 |
index: 0, |
14074 | 287 |
} |
288 |
} |
|
14100 | 289 |
|
290 |
pub fn mirror(&mut self) { |
|
14105 | 291 |
let r = self.size.width as i32 - 1; |
292 |
||
293 |
self.iter_mut().for_each(|p| p.x = r - p.x); |
|
14100 | 294 |
} |
295 |
||
296 |
pub fn flip(&mut self) { |
|
14105 | 297 |
let t = self.size.height as i32 - 1; |
298 |
||
299 |
self.iter_mut().for_each(|p| p.y = t - p.y); |
|
14100 | 300 |
} |
14074 | 301 |
} |
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303 |
struct OutlineSegmentsIterator<'a> { |
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304 |
outline: &'a OutlinePoints, |
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305 |
island: usize, |
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306 |
index: usize, |
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307 |
} |
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309 |
impl<'a> Iterator for OutlineSegmentsIterator<'a> { |
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310 |
type Item = Line; |
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311 |
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312 |
fn next(&mut self) -> Option<Self::Item> { |
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|
313 |
if self.island < self.outline.islands.len() { |
14083 | 314 |
if self.index + 1 < self.outline.islands[self.island].len() { |
315 |
let result = Some(Line::new( |
|
316 |
self.outline.islands[self.island][self.index], |
|
317 |
self.outline.islands[self.island][self.index + 1], |
|
318 |
)); |
|
319 |
||
320 |
self.index += 1; |
|
321 |
||
322 |
result |
|
323 |
} else if self.index + 1 == self.outline.islands[self.island].len() { |
|
324 |
let result = Some(Line::new( |
|
325 |
self.outline.islands[self.island][self.index], |
|
326 |
self.outline.islands[self.island][0], |
|
327 |
)); |
|
328 |
||
329 |
self.island += 1; |
|
330 |
self.index = 0; |
|
331 |
||
332 |
result |
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333 |
} else { |
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self.island += 1; |
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self.index = 0; |
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336 |
self.next() |
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} |
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338 |
} else { |
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None |
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} |
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} |
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342 |
} |
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|
344 |
#[test()] |
|
345 |
fn points_test() { |
|
346 |
let mut points = OutlinePoints { |
|
347 |
islands: vec![ |
|
348 |
vec![Point::new(0, 0), Point::new(20, 0), Point::new(30, 30)], |
|
349 |
vec![Point::new(10, 15), Point::new(15, 20), Point::new(20, 15)], |
|
350 |
], |
|
351 |
fill_points: vec![Point::new(1, 1)], |
|
352 |
play_box: Rect::from_box(0, 100, 0, 100).with_margin(10), |
|
353 |
size: Size::square(100), |
|
354 |
}; |
|
355 |
||
356 |
let segments: Vec<Line> = points.segments_iter().collect(); |
|
357 |
assert_eq!( |
|
358 |
segments.first(), |
|
359 |
Some(&Line::new(Point::new(0, 0), Point::new(20, 0))) |
|
360 |
); |
|
361 |
assert_eq!( |
|
362 |
segments.last(), |
|
363 |
Some(&Line::new(Point::new(20, 15), Point::new(10, 15))) |
|
364 |
); |
|
365 |
||
366 |
points.iter_mut().for_each(|p| p.x = 2); |
|
367 |
assert_eq!(points.fill_points[0].x, 2); |
|
368 |
assert_eq!(points.islands[0][0].x, 2); |
|
369 |
} |