day23 part 2 (with a shortcut that could potentially break some cases)
I'm only using a lower bound on the number of intersections a cube has.
This commit is contained in:
1
Cargo.lock
generated
1
Cargo.lock
generated
@@ -13,6 +13,7 @@ dependencies = [
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"chrono 0.4.6 (registry+https://github.com/rust-lang/crates.io-index)",
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"gcd 1.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
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"itertools 0.7.11 (registry+https://github.com/rust-lang/crates.io-index)",
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"lazy_static 1.2.0 (registry+https://github.com/rust-lang/crates.io-index)",
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"regex 1.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
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]
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@@ -9,3 +9,4 @@ regex = "1.1.0"
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chrono = "0.4.6"
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itertools = "0.7.11"
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gcd = "1.1.0"
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lazy_static = "1.2.0"
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@@ -1,4 +1,4 @@
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fn main() {
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aoc_2018::tasks::day24::task1();
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// aoc_2018::tasks::day23::task2();
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// aoc_2018::tasks::day24::task1();
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aoc_2018::tasks::day23::task2();
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}
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@@ -1,6 +1,7 @@
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use crate::utils;
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extern crate regex;
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use regex::Regex;
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use std::collections::BinaryHeap;
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pub fn task1() {
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let input = utils::read_file("input/day23.txt");
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@@ -13,9 +14,12 @@ pub fn task1() {
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let x = m["x"].parse::<isize>().unwrap();
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let y = m["y"].parse::<isize>().unwrap();
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let z = m["z"].parse::<isize>().unwrap();
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let range = m["range"].parse::<usize>().unwrap();
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let range = m["range"].parse::<isize>().unwrap();
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Bot { x, y, z, range }
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Bot {
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center: Point::new(x, y, z),
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range,
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}
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})
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.collect();
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@@ -41,110 +45,265 @@ pub fn task2() {
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let x = m["x"].parse::<isize>().unwrap();
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let y = m["y"].parse::<isize>().unwrap();
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let z = m["z"].parse::<isize>().unwrap();
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let range = m["range"].parse::<usize>().unwrap();
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let range = m["range"].parse::<isize>().unwrap();
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Bot { x, y, z, range }
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Bot {
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center: Point::new(x, y, z),
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range,
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}
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})
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.collect();
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// let r_min = bots.iter().min_by_key(|it| it.range).unwrap().range;
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// let r_max = bots.iter().max_by_key(|it| it.range).unwrap().range;
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// println!("Radius min max: {}/{}", r_min, r_max);
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// let x_min = bots.iter().min_by_key(|it| it.x).unwrap().x;
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// let x_max = bots.iter().max_by_key(|it| it.x).unwrap().x;
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// println!("X range: {}", x_max - x_min);
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// let y_min = bots.iter().min_by_key(|it| it.y).unwrap().y;
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// let y_max = bots.iter().max_by_key(|it| it.y).unwrap().y;
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// println!("Y range: {}", y_max - y_min);
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// let z_min = bots.iter().min_by_key(|it| it.z).unwrap().z;
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// let z_max = bots.iter().max_by_key(|it| it.z).unwrap().z;
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// println!("Z range: {}", z_max - z_min);
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let mut heap: BinaryHeap<Candidate> = BinaryHeap::new();
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heap.push(Candidate {
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count: bots.len(),
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cube: Cube::new(-1 << 32, -1 << 32, -1 << 32, 1 << 33),
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});
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let mut candidate_points: Vec<(Point, usize)> = Vec::new();
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let mut best_candidate_count = 0;
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let neighbor_counts: Vec<(Bot, usize)> = bots
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.iter()
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.flat_map(|bot| bot.corners())
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.map(|corner| {
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while let Some(Candidate { count, cube }) = heap.pop() {
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// println!("{:?}: {} ({})", cube, count, best_candidate_count);
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if count < best_candidate_count {
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break;
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}
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if cube.len == 1 {
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let count = bots
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.iter()
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.filter(|bot| bot.distance(&corner) <= bot.range)
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.filter(|bot| bot.center.distance(&cube.base) <= bot.range)
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.count();
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(corner, count)
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})
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.collect();
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let max = neighbor_counts.iter().max_by_key(|it| it.1).unwrap().1;
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let start = Bot {
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x: 0,
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y: 0,
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z: 0,
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range: 0,
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};
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let candidates = neighbor_counts.iter().filter(|it| it.1 == max).count();
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println!("{} points in range of {} bots", candidates, max);
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let candidate = neighbor_counts
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.iter()
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.filter(|it| it.1 == max)
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.min_by_key(|it| it.0.distance(&start));
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if count > best_candidate_count {
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candidate_points.push((cube.base, count));
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println!("pushed with {}!", count);
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best_candidate_count = count;
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}
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} else {
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for child in cube.children() {
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heap.push(Candidate {
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count: bots.iter().filter(|bot| child.intersects(&bot)).count(),
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cube: child,
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})
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}
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}
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}
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let origin = Point::new(0, 0, 0);
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println!(
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"Corner with most bots in range: {:?}",
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candidate.unwrap().0.distance(&start)
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"Found {} candidates - best is {}.",
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candidate_points.len(),
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best_candidate_count
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);
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let best = candidate_points
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.iter()
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.filter(|(_, count)| *count == best_candidate_count)
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.min_by_key(|(point, _)| origin.distance(&point));
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println!("{:?}", best);
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if let Some((best, _)) = best {
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println!("{}", best.x + best.y + best.z);
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}
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// wrong: 37446460,43177892,57318660; 137943012; 102224079;
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}
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#[derive(Eq, PartialEq)]
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struct Candidate {
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count: usize,
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cube: Cube,
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}
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impl Ord for Candidate {
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fn cmp(&self, other: &Self) -> std::cmp::Ordering {
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self.count.cmp(&other.count)
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}
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}
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impl PartialOrd for Candidate {
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fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
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Some(self.count.cmp(&other.count))
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}
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}
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#[derive(Debug)]
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struct Bot {
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x: isize,
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y: isize,
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z: isize,
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range: usize,
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center: Point,
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range: isize,
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}
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impl Bot {
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fn distance(&self, other: &Self) -> usize {
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((other.x - self.x).abs() + (other.y - self.y).abs() + (other.z - self.z).abs()) as usize
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fn distance(&self, other: &Self) -> isize {
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self.dist(&other.center)
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}
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fn corners(&self) -> Vec<Self> {
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fn dist(&self, p: &Point) -> isize {
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self.center.distance(&p)
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}
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fn corners(&self) -> Vec<Point> {
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vec![
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Bot {
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x: self.x + self.range as isize,
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y: self.y,
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z: self.z,
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range: 0,
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Point {
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x: self.center.x + self.range as isize,
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y: self.center.y,
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z: self.center.z,
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},
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Bot {
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x: self.x - self.range as isize,
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y: self.y,
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z: self.z,
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range: 0,
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Point {
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x: self.center.x - self.range as isize,
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y: self.center.y,
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z: self.center.z,
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},
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Bot {
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x: self.x,
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y: self.y + self.range as isize,
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z: self.z,
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range: 0,
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Point {
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x: self.center.x,
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y: self.center.y + self.range as isize,
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z: self.center.z,
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},
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Bot {
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x: self.x,
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y: self.y - self.range as isize,
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z: self.z,
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range: 0,
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Point {
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x: self.center.x,
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y: self.center.y - self.range as isize,
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z: self.center.z,
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},
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Bot {
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x: self.x,
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y: self.y,
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z: self.z + self.range as isize,
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range: 0,
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Point {
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x: self.center.x,
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y: self.center.y,
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z: self.center.z + self.range as isize,
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},
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Bot {
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x: self.x,
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y: self.y,
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z: self.z - self.range as isize,
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range: 0,
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Point {
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x: self.center.x,
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y: self.center.y,
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z: self.center.z - self.range as isize,
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},
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]
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}
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}
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#[derive(Debug, PartialEq, Eq, Clone, Copy)]
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struct Point {
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x: isize,
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y: isize,
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z: isize,
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}
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impl Point {
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fn new(x: isize, y: isize, z: isize) -> Self {
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Point { x, y, z }
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}
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fn distance(&self, other: &Point) -> isize {
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(other.x - self.x).abs() + (other.y - self.y).abs() + (other.z - self.z).abs()
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}
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}
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#[derive(PartialEq, Eq, Debug)]
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struct Cube {
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base: Point,
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len: isize,
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}
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impl Cube {
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fn new(x: isize, y: isize, z: isize, len: isize) -> Self {
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if len < 1 {
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panic!("The side length of a cube has to be at least 1");
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}
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if (len & (len - 1)) != 0 {
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panic!("The side length has to be a power of two");
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}
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Cube {
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base: Point::new(x, y, z),
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len,
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}
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}
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fn children(&self) -> Vec<Self> {
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let l = self.len / 2;
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let x = self.base.x;
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let y = self.base.y;
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let z = self.base.z;
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vec![
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Cube::new(x + l, y + l, z, l),
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Cube::new(x + l, y + l, z + l, l),
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Cube::new(x + l, y, z, l),
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Cube::new(x + l, y, z + l, l),
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Cube::new(x, y + l, z, l),
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Cube::new(x, y + l, z + l, l),
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Cube::new(x, y, z, l),
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Cube::new(x, y, z + l, l),
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]
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}
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fn corners(&self) -> Vec<Point> {
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vec![
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Point::new(
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self.base.x + self.len,
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self.base.y + self.len,
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self.base.z + self.len,
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),
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Point::new(
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self.base.x + self.len - 1,
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self.base.y + self.len - 1,
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self.base.z,
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),
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Point::new(
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self.base.x + self.len - 1,
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self.base.y,
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self.base.z + self.len - 1,
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),
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Point::new(self.base.x + self.len - 1, self.base.y, self.base.z),
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Point::new(
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self.base.x,
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self.base.y + self.len - 1,
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self.base.z + self.len - 1,
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),
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Point::new(self.base.x, self.base.y + self.len - 1, self.base.z),
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Point::new(self.base.x, self.base.y, self.base.z + self.len - 1),
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Point::new(self.base.x, self.base.y, self.base.z),
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]
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}
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fn intersects(&self, bot: &Bot) -> bool {
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if self
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.corners()
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.iter()
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.any(|corner| corner.distance(&bot.center) <= bot.range)
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{
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return true;
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}
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if bot
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.corners()
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.iter()
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.any(|corner| self.contains_point(&corner))
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{
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return true;
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}
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// WARNING this is a conservative check! it omits the case where no
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// corners of the octahedron/cube are within each other:
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// +-----+
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// | |/\
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// | /| \
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// +---/-+ \
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// although this is just a wrong 2D example, in 3D that could happen.
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false
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}
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fn contains_point(&self, p: &Point) -> bool {
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self.base.x <= p.x
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&& self.base.x + self.len > p.x
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&& self.base.y <= p.y
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&& self.base.y + self.len > p.y
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&& self.base.z <= p.z
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&& self.base.z + self.len > p.z
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}
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}
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mod test {
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#[test]
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fn intersection() {
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use super::*;
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let cube = Cube::new(0, 0, 0, 16);
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let bot = Bot {
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center: Point::new(8, 8, 8),
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range: 4,
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};
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assert!(cube.intersects(&bot));
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}
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}
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Reference in New Issue
Block a user