| @@ -0,0 +1,211 @@ |
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+use std::{cmp::Reverse, collections::BinaryHeap}; |
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+ |
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+use bevy::prelude::*; |
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+ |
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+use crate::world::WorldMap; |
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+ |
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+const STRAIGHT: u32 = 10; |
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+const DIAGONAL: u32 = 14; |
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+const MIN_TERRAIN_COST: u32 = 100; |
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+ |
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+const NEIGHBORS: [IVec2; 8] = [ |
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+ IVec2::new(1, 0), |
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+ IVec2::new(-1, 0), |
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+ IVec2::new(0, 1), |
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+ IVec2::new(0, -1), |
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+ IVec2::new(1, 1), |
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+ IVec2::new(1, -1), |
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+ IVec2::new(-1, 1), |
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+ IVec2::new(-1, -1), |
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+]; |
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+ |
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+pub fn find_path(map: &WorldMap, start: UVec2, goal: UVec2) -> Option<Vec<UVec2>> { |
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+ let start = start.as_ivec2(); |
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+ let goal = goal.as_ivec2(); |
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+ map.move_cost(start)?; |
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+ map.move_cost(goal)?; |
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+ if start == goal { |
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+ return Some(vec![]); |
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+ } |
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+ |
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+ let width = map.size.x as usize; |
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+ let index = |p: IVec2| p.y as usize * width + p.x as usize; |
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+ let tiles = map.size.element_product() as usize; |
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+ let mut cost_so_far = vec![u32::MAX; tiles]; |
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+ let mut came_from = vec![None::<IVec2>; tiles]; |
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+ let mut open = BinaryHeap::new(); |
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+ |
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+ cost_so_far[index(start)] = 0; |
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+ open.push(Reverse((heuristic(start, goal), start.x, start.y))); |
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+ |
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+ while let Some(Reverse((_, x, y))) = open.pop() { |
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+ let current = IVec2::new(x, y); |
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+ if current == goal { |
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+ return Some(reconstruct(&came_from, index, start, goal)); |
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+ } |
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+ let current_cost = cost_so_far[index(current)]; |
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+ for step in NEIGHBORS { |
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+ let next = current + step; |
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+ let Some(terrain_cost) = map.move_cost(next) else { |
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+ continue; |
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+ }; |
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+ let diagonal = step.x != 0 && step.y != 0; |
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+ if diagonal |
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+ && (map.move_cost(current + IVec2::new(step.x, 0)).is_none() |
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+ || map.move_cost(current + IVec2::new(0, step.y)).is_none()) |
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+ { |
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+ continue; |
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+ } |
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+ let base = if diagonal { DIAGONAL } else { STRAIGHT }; |
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+ let new_cost = current_cost + base * terrain_cost; |
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+ if new_cost < cost_so_far[index(next)] { |
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+ cost_so_far[index(next)] = new_cost; |
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+ came_from[index(next)] = Some(current); |
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+ open.push(Reverse((new_cost + heuristic(next, goal), next.x, next.y))); |
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+ } |
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+ } |
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+ } |
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+ None |
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+} |
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+ |
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+fn heuristic(a: IVec2, b: IVec2) -> u32 { |
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+ let d = (a - b).abs(); |
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+ let (min, max) = (d.x.min(d.y) as u32, d.x.max(d.y) as u32); |
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+ (DIAGONAL * min + STRAIGHT * (max - min)) * MIN_TERRAIN_COST |
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+} |
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+ |
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+fn reconstruct( |
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+ came_from: &[Option<IVec2>], |
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+ index: impl Fn(IVec2) -> usize, |
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+ start: IVec2, |
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+ goal: IVec2, |
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+) -> Vec<UVec2> { |
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+ let mut path = vec![goal.as_uvec2()]; |
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+ let mut current = goal; |
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+ while let Some(prev) = came_from[index(current)] { |
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+ if prev == start { |
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+ break; |
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+ } |
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+ path.push(prev.as_uvec2()); |
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+ current = prev; |
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+ } |
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+ path.reverse(); |
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+ path |
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+} |
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+ |
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+#[cfg(test)] |
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+mod tests { |
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+ use super::*; |
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+ use crate::world::Terrain; |
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+ |
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+ fn map_from(rows: &[&str]) -> WorldMap { |
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+ let size = UVec2::new(rows[0].len() as u32, rows.len() as u32); |
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+ let mut map = WorldMap::filled(size, Terrain::Grass); |
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+ for (row, line) in rows.iter().enumerate() { |
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+ let y = size.y - 1 - row as u32; |
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+ for (x, c) in line.chars().enumerate() { |
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+ let terrain = match c { |
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+ '#' => Terrain::Stone, |
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+ '~' => Terrain::ShallowWater, |
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+ _ => Terrain::Grass, |
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+ }; |
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+ map.set(UVec2::new(x as u32, y), terrain); |
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+ } |
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+ } |
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+ map |
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+ } |
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+ |
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+ fn is_connected(start: UVec2, path: &[UVec2]) -> bool { |
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+ std::iter::once(start) |
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+ .chain(path.iter().copied()) |
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+ .collect::<Vec<_>>() |
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+ .windows(2) |
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+ .all(|w| (w[0].as_ivec2() - w[1].as_ivec2()).abs().max_element() == 1) |
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+ } |
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+ |
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+ #[test] |
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+ fn path_excludes_start_and_ends_at_goal() { |
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+ let map = map_from(&["....."]); |
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+ let path = find_path(&map, UVec2::new(0, 0), UVec2::new(4, 0)).unwrap(); |
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+ assert_eq!( |
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+ path, |
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+ vec![UVec2::new(1, 0), UVec2::new(2, 0), UVec2::new(3, 0), UVec2::new(4, 0)] |
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+ ); |
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+ } |
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+ |
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+ #[test] |
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+ fn path_to_self_is_empty() { |
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+ let map = map_from(&["..."]); |
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+ assert_eq!(find_path(&map, UVec2::ZERO, UVec2::ZERO), Some(vec![])); |
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+ } |
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+ |
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+ #[test] |
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+ fn path_goes_around_walls() { |
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+ let map = map_from(&[ |
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+ ".....", |
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+ ".###.", |
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+ ".#.#.", |
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+ "...#.", |
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+ ]); |
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+ let start = UVec2::new(2, 1); |
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+ let goal = UVec2::new(4, 0); |
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+ let path = find_path(&map, start, goal).unwrap(); |
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+ assert!(is_connected(start, &path)); |
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+ assert_eq!(path.last(), Some(&goal)); |
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+ assert!(path.iter().all(|p| map.move_cost(p.as_ivec2()).is_some())); |
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+ } |
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+ |
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+ #[test] |
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+ fn unreachable_or_impassable_goal_has_no_path() { |
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+ let map = map_from(&[ |
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+ "..#..", |
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+ "..#..", |
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+ ]); |
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+ assert_eq!(find_path(&map, UVec2::new(0, 0), UVec2::new(4, 0)), None); |
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+ assert_eq!(find_path(&map, UVec2::new(0, 0), UVec2::new(2, 0)), None); |
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+ } |
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+ |
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+ |
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+ |
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+ #[test] |
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+ fn diagonal_steps_never_cut_wall_corners() { |
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+ let map = map_from(&[ |
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+ "#.", |
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+ ".#", |
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+ ]); |
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+ assert_eq!(find_path(&map, UVec2::new(0, 0), UVec2::new(1, 1)), None); |
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+ let map = map_from(&[ |
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+ "..", |
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+ "#.", |
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+ ]); |
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+ let path = find_path(&map, UVec2::new(0, 1), UVec2::new(1, 0)).unwrap(); |
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+ assert_eq!(path, vec![UVec2::new(1, 1), UVec2::new(1, 0)]); |
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+ } |
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+ |
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+ #[test] |
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+ fn prefers_detour_over_slow_terrain() { |
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+ let map = map_from(&[ |
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+ ".....", |
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+ "..~..", |
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+ ]); |
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+ let path = find_path(&map, UVec2::new(0, 0), UVec2::new(4, 0)).unwrap(); |
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+ assert!(!path.contains(&UVec2::new(2, 0))); |
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+ } |
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+ |
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+ #[test] |
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+ fn crosses_slow_terrain_when_it_is_the_only_way() { |
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+ let map = map_from(&["..~.."]); |
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+ let path = find_path(&map, UVec2::new(0, 0), UVec2::new(4, 0)).unwrap(); |
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+ assert!(path.contains(&UVec2::new(2, 0))); |
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+ } |
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+ |
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+ #[test] |
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+ fn finds_paths_across_the_static_world() { |
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+ let map = crate::world::static_world(); |
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+ let start = UVec2::new(10, 10); |
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+ let goal = UVec2::new(120, 70); |
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+ let path = find_path(&map, start, goal).unwrap(); |
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+ assert!(is_connected(start, &path)); |
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+ assert_eq!(path.last(), Some(&goal)); |
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+ } |
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+} |