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|
pub mod heap;
pub mod nodemap;
use std::{
fmt::{self, Debug},
hash::Hash,
time::{Duration, Instant},
};
use num_format::ToFormattedString;
use tracing::{debug, trace, warn};
use crate::pathfinder::astar::{
heap::{PathfinderHeap, WeightedNode},
nodemap::NodeMap,
};
pub struct Path<P, M>
where
P: Eq + Hash + Copy + Debug,
{
pub movements: Vec<Movement<P, M>>,
pub is_partial: bool,
/// The A* cost for executing the path.
///
/// For Azalea's pathfinder, this is generally the estimated amount of time
/// that it takes to complete the path, in ticks.
pub cost: f32,
}
// used for better results when timing out
// based on Baritone's implementation (with tweaks), see
// https://github.com/cabaletta/baritone/blob/1.19.4/src/main/java/baritone/pathing/calc/AbstractNodeCostSearch.java#L68
// for more info
const COEFFICIENTS: [f32; 7] = [1.5, 2., 2.5, 3., 4., 5., 15.];
const MIN_IMPROVEMENT: f32 = 0.01;
// Sources:
// - https://en.wikipedia.org/wiki/A*_search_algorithm
// - https://github.com/evenfurther/pathfinding/blob/main/src/directed/astar.rs
// - https://github.com/cabaletta/baritone/blob/1.19.4/src/main/java/baritone/pathing/calc/AbstractNodeCostSearch.java
pub fn a_star<P, M, HeuristicFn, SuccessorsFn, SuccessFn>(
start: P,
heuristic: HeuristicFn,
mut successors: SuccessorsFn,
success: SuccessFn,
min_timeout: PathfinderTimeout,
max_timeout: PathfinderTimeout,
) -> Path<P, M>
where
P: Eq + Hash + Copy + Debug,
HeuristicFn: Fn(P) -> f32,
SuccessorsFn: FnMut(P) -> Vec<Edge<P, M>>,
SuccessFn: Fn(P) -> bool,
{
let start_time = Instant::now();
let mut open_set = PathfinderHeap::new();
open_set.push(WeightedNode {
g_score: 0.,
f_score: 0.,
index: 0,
});
let mut nodes: NodeMap<P> = NodeMap::default();
nodes.insert(
start,
Node {
came_from: u32::MAX,
g_score: 0.,
},
);
let mut best_paths: [u32; 7] = [0; 7];
let mut best_path_scores: [f32; 7] = [heuristic(start); 7];
let mut num_nodes = 0_usize;
let mut num_movements = 0;
while let Some(WeightedNode { index, g_score, .. }) = open_set.pop() {
let (&node, node_data) = nodes.get_index(index).unwrap();
if g_score > node_data.g_score {
continue;
}
num_nodes += 1;
if success(node) {
let best_path = index;
log_perf_info(start_time, num_nodes, num_movements);
return Path {
movements: reconstruct_path(nodes, best_path, successors),
is_partial: false,
cost: g_score,
};
}
for neighbor in successors(node) {
let tentative_g_score = g_score + neighbor.cost;
// let neighbor_heuristic = heuristic(neighbor.movement.target);
let neighbor_heuristic;
let neighbor_index;
num_movements += 1;
match nodes.entry(neighbor.movement.target) {
indexmap::map::Entry::Occupied(mut e) => {
if e.get().g_score > tentative_g_score {
neighbor_heuristic = heuristic(*e.key());
neighbor_index = e.index() as u32;
e.insert(Node {
came_from: index,
g_score: tentative_g_score,
});
} else {
continue;
}
}
indexmap::map::Entry::Vacant(e) => {
neighbor_heuristic = heuristic(*e.key());
neighbor_index = e.index() as u32;
e.insert(Node {
came_from: index,
g_score: tentative_g_score,
});
}
}
// we don't update the existing node, which means that the same node might be
// present in the open_set multiple times. this is fine because at the start of
// the loop we check `g_score > node_data.g_score`.
open_set.push(WeightedNode {
index: neighbor_index,
g_score: tentative_g_score,
f_score: tentative_g_score + neighbor_heuristic,
});
for (coefficient_i, &coefficient) in COEFFICIENTS.iter().enumerate() {
let node_score = neighbor_heuristic + tentative_g_score / coefficient;
if best_path_scores[coefficient_i] - node_score > MIN_IMPROVEMENT {
best_paths[coefficient_i] = neighbor_index;
best_path_scores[coefficient_i] = node_score;
}
}
}
// check for timeout every ~10ms
if num_nodes.is_multiple_of(10_000) {
let min_timeout_reached = match min_timeout {
PathfinderTimeout::Time(max_duration) => start_time.elapsed() >= max_duration,
PathfinderTimeout::Nodes(max_nodes) => num_nodes >= max_nodes,
};
if min_timeout_reached {
// means we have a non-empty path
if best_paths[6] != 0 {
break;
}
if min_timeout_reached {
let max_timeout_reached = match max_timeout {
PathfinderTimeout::Time(max_duration) => {
start_time.elapsed() >= max_duration
}
PathfinderTimeout::Nodes(max_nodes) => num_nodes >= max_nodes,
};
if max_timeout_reached {
// timeout, we're gonna be returning an empty path :(
trace!("A* couldn't find a path in time, returning best path");
break;
}
}
}
}
}
let best_path_idx = determine_best_path_idx(best_paths, 0);
log_perf_info(start_time, num_nodes, num_movements);
Path {
movements: reconstruct_path(nodes, best_paths[best_path_idx], successors),
is_partial: true,
cost: best_path_scores[best_path_idx],
}
}
fn log_perf_info(start_time: Instant, num_nodes: usize, num_movements: usize) {
let elapsed = start_time.elapsed();
let elapsed_seconds = elapsed.as_secs_f64();
let nodes_per_second = (num_nodes as f64 / elapsed_seconds) as u64;
let num_movements_per_second = (num_movements as f64 / elapsed_seconds) as u64;
debug!(
"Considered {} nodes in {elapsed:?}",
num_nodes.to_formatted_string(&num_format::Locale::en)
);
debug!(
"A* ran at {} nodes per second and {} movements per second",
nodes_per_second.to_formatted_string(&num_format::Locale::en),
num_movements_per_second.to_formatted_string(&num_format::Locale::en),
);
}
fn determine_best_path_idx(best_paths: [u32; 7], start: u32) -> usize {
// this basically makes sure we don't create a path that's really short
for (i, &node) in best_paths.iter().enumerate() {
if node != start {
return i;
}
}
warn!("No best node found, returning first node");
0
}
fn reconstruct_path<P, M, SuccessorsFn>(
nodes: NodeMap<P>,
mut current_index: u32,
mut successors: SuccessorsFn,
) -> Vec<Movement<P, M>>
where
P: Eq + Hash + Copy + Debug,
SuccessorsFn: FnMut(P) -> Vec<Edge<P, M>>,
{
let mut path = Vec::new();
while let Some((&node_position, node)) = nodes.get_index(current_index) {
if node.came_from == u32::MAX {
break;
}
let came_from_position = *nodes.get_index(node.came_from).unwrap().0;
// find the movement data for this successor, we have to do this again because
// we don't include the movement data in the Node (as an optimization)
let mut best_successor = None;
let mut best_successor_cost = f32::INFINITY;
for successor in successors(came_from_position) {
if successor.movement.target == node_position && successor.cost < best_successor_cost {
best_successor_cost = successor.cost;
best_successor = Some(successor);
}
}
let Some(found_successor) = best_successor else {
warn!(
"a successor stopped being possible while reconstructing the path, returning empty path"
);
return vec![];
};
path.push(Movement {
target: node_position,
data: found_successor.movement.data,
});
current_index = node.came_from;
}
path.reverse();
path
}
pub struct Node {
pub came_from: u32,
pub g_score: f32,
}
#[derive(Clone, Debug)]
pub struct Edge<P: Hash + Copy, M> {
pub movement: Movement<P, M>,
pub cost: f32,
}
pub struct Movement<P: Hash + Copy, M> {
pub target: P,
pub data: M,
}
impl<P: Hash + Copy + Debug, M: Debug> Debug for Movement<P, M> {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.debug_struct("Movement")
.field("target", &self.target)
.field("data", &self.data)
.finish()
}
}
impl<P: Hash + Copy + Clone, M: Clone> Clone for Movement<P, M> {
fn clone(&self) -> Self {
Self {
target: self.target,
data: self.data.clone(),
}
}
}
/// A timeout that the pathfinder will consider when calculating a path.
///
/// See [`PathfinderOpts::min_timeout`] and [`PathfinderOpts::max_timeout`] if
/// you want to modify this.
///
/// [`PathfinderOpts::min_timeout`]: super::goto_event::PathfinderOpts::min_timeout
/// [`PathfinderOpts::max_timeout`]: super::goto_event::PathfinderOpts::max_timeout
#[derive(Clone, Copy, Debug, PartialEq)]
pub enum PathfinderTimeout {
/// Time out after a certain duration has passed.
///
/// This is a good default so you don't waste too much time calculating a
/// path if you're on a slow computer.
Time(Duration),
/// Time out after this many nodes have been considered.
///
/// This is useful as an alternative to a time limit if you're doing
/// something like running tests where you want consistent results.
Nodes(usize),
}
impl Default for PathfinderTimeout {
fn default() -> Self {
Self::Time(Duration::from_secs(1))
}
}
impl From<Duration> for PathfinderTimeout {
fn from(duration: Duration) -> Self {
Self::Time(duration)
}
}
|