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Atmospheric simulation for worldgen
This commit is contained in:
parent
7977ed4d10
commit
995dda3ce7
@ -25,4 +25,7 @@ bincode = { version = "2.0.0-rc.3", features = ["serde"] }
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[[bin]]
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name = "worldgen"
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path = "src/worldgen_test.rs"
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path = "src/worldgen_test.rs"
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[target.x86_64-unknown-linux-gnu]
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rustflags = ["-Ctarget-cpu=native"]
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12
src/main.rs
12
src/main.rs
@ -70,7 +70,7 @@ enum Input {
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#[derive(Serialize, Deserialize, Clone)]
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enum Frame {
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Dead,
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Display { nearby: Vec<(i64, i64, char, f32)>, health: f32, inventory: Vec<(String, String, u64)> },
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Display { nearby: Vec<(i32, i32, char, f32)>, health: f32, inventory: Vec<(String, String, u64)> },
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PlayerCount(usize),
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Message(String)
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}
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@ -157,7 +157,7 @@ struct DespawnOnTick(u64);
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struct DespawnRandomly(u64);
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#[derive(Debug, Clone)]
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struct EnemyTarget { spawn_range: std::ops::RangeInclusive<i64>, spawn_density: f32, spawn_rate_inv: usize, aggression_range: i64 }
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struct EnemyTarget { spawn_range: std::ops::RangeInclusive<i32>, spawn_density: f32, spawn_rate_inv: usize, aggression_range: i32 }
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#[derive(Debug, Clone)]
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struct Enemy;
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@ -184,7 +184,7 @@ struct Energy { current: f32, regeneration_rate: f32, burst: f32 }
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struct Drops(Vec<(Item, StochasticNumber)>);
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#[derive(Debug, Clone)]
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struct Jump(i64);
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struct Jump(i32);
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impl Energy {
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fn try_consume(&mut self, cost: f32) -> bool {
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@ -237,7 +237,7 @@ impl Inventory {
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}
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}
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const VIEW: i64 = 15;
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const VIEW: i32 = 15;
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const RANDOM_DESPAWN_INV_RATE: u64 = 4000;
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struct EnemySpec {
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@ -248,7 +248,7 @@ struct EnemySpec {
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move_delay: usize,
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attack_cooldown: u64,
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ranged: bool,
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movement: i64,
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movement: i32,
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drops: Vec<(Item, StochasticNumber)>
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}
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@ -423,7 +423,7 @@ async fn game_tick(state: &mut GameState) -> Result<()> {
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if let Some(ranged_attack) = ranged {
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// slightly smart behaviour for ranged attacker: try to stay just within range
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let direction = DIRECTIONS.iter().min_by_key(|dir|
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(hex_distance(pos + **dir, target_pos) - (ranged_attack.range as i64 - 1)).abs()).unwrap();
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(hex_distance(pos + **dir, target_pos) - (ranged_attack.range as i32 - 1)).abs()).unwrap();
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buffer.insert_one(entity, MovingInto(pos + *direction));
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// do ranged attack if valid
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let atk_dir = target_pos - pos;
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22
src/map.rs
22
src/map.rs
@ -2,19 +2,19 @@ use euclid::{Point3D, Point2D, Vector2D};
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pub struct AxialWorldSpace;
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pub struct CubicWorldSpace;
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pub type Coord = Point2D<i64, AxialWorldSpace>;
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pub type CubicCoord = Point3D<i64, CubicWorldSpace>;
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pub type CoordVec = Vector2D<i64, AxialWorldSpace>;
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pub type Coord = Point2D<i32, AxialWorldSpace>;
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pub type CubicCoord = Point3D<i32, CubicWorldSpace>;
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pub type CoordVec = Vector2D<i32, AxialWorldSpace>;
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pub fn to_cubic(p0: Coord) -> CubicCoord {
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CubicCoord::new(p0.x, p0.y, -p0.x - p0.y)
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}
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pub fn vec_length(ax_dist: CoordVec) -> i64 {
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pub fn vec_length(ax_dist: CoordVec) -> i32 {
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(ax_dist.x.abs() + ax_dist.y.abs() + (ax_dist.x + ax_dist.y).abs()) / 2
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}
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pub fn hex_distance(p0: Coord, p1: Coord) -> i64 {
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pub fn hex_distance(p0: Coord, p1: Coord) -> i32 {
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let ax_dist = p0 - p1;
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vec_length(ax_dist)
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}
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@ -35,13 +35,13 @@ pub fn rotate_60(p0: CoordVec) -> CoordVec {
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pub const DIRECTIONS: &[CoordVec] = &[CoordVec::new(0, -1), CoordVec::new(1, -1), CoordVec::new(-1, 0), CoordVec::new(1, 0), CoordVec::new(0, 1), CoordVec::new(-1, 1)];
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pub fn sample_range(range: i64) -> CoordVec {
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let q = fastrand::i64(-range..=range);
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let r = fastrand::i64((-range).max(-q-range)..=range.min(-q+range));
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pub fn sample_range(range: i32) -> CoordVec {
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let q = fastrand::i32(-range..=range);
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let r = fastrand::i32((-range).max(-q-range)..=range.min(-q+range));
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CoordVec::new(q, r)
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}
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pub fn hex_circle(range: i64) -> impl Iterator<Item=CoordVec> {
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pub fn hex_circle(range: i32) -> impl Iterator<Item=CoordVec> {
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(-range..=range).flat_map(move |q| {
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((-range).max(-q - range)..= range.min(-q+range)).map(move |r| {
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CoordVec::new(q, r)
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@ -49,11 +49,11 @@ pub fn hex_circle(range: i64) -> impl Iterator<Item=CoordVec> {
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})
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}
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pub fn hex_range(range: i64) -> impl Iterator<Item=(i64, CoordVec)> {
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pub fn hex_range(range: i32) -> impl Iterator<Item=(i32, CoordVec)> {
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(0..=range).flat_map(|x| hex_circle(x).map(move |c| (x, c)))
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}
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pub fn count_hexes(x: i64) -> i64 {
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pub fn count_hexes(x: i32) -> i32 {
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x*(x+1)*3+1
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}
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198
src/worldgen.rs
198
src/worldgen.rs
@ -4,8 +4,8 @@ use noise_functions::Sample3;
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use serde::{Deserialize, Serialize};
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use crate::map::*;
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pub const WORLD_RADIUS: i64 = 1024;
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const NOISE_SCALE: f32 = 0.001;
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pub const WORLD_RADIUS: i32 = 1024;
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const NOISE_SCALE: f32 = 0.0005;
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const HEIGHT_EXPONENT: f32 = 0.3;
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const WATER_SOURCES: usize = 40;
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@ -27,6 +27,18 @@ fn percentilize<F: Fn(f32) -> f32>(raw: &mut Map<f32>, postprocess: F) {
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}
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}
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fn normalize<F: Fn(f32) -> f32>(raw: &mut Map<f32>, postprocess: F) {
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let mut min = raw.data.iter().copied().min_by(|a, b| a.partial_cmp(b).unwrap()).unwrap();
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let mut max = raw.data.iter().copied().max_by(|a, b| a.partial_cmp(b).unwrap()).unwrap();
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if min == max {
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min = 0.0;
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max = 1.0;
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}
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for x in raw.data.iter_mut() {
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*x = postprocess((*x - min) / (max - min));
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}
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}
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pub fn generate_heights() -> Map<f32> {
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let mut raw = Map::<f32>::from_fn(height_baseline, WORLD_RADIUS);
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percentilize(&mut raw, |x| {
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@ -37,10 +49,10 @@ pub fn generate_heights() -> Map<f32> {
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}
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struct CoordsIndexIterator {
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radius: i64,
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radius: i32,
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index: usize,
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r: i64,
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q: i64,
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r: i32,
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q: i32,
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max: usize
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}
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@ -68,11 +80,11 @@ impl Iterator for CoordsIndexIterator {
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#[derive(Debug, Clone, Serialize, Deserialize)]
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pub struct Map<T> {
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pub data: Vec<T>,
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pub radius: i64
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pub radius: i32
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}
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impl<T> Map<T> {
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pub fn new(radius: i64, fill: T) -> Map<T> where T: Clone {
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pub fn new(radius: i32, fill: T) -> Map<T> where T: Clone {
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let size = count_hexes(radius) as usize;
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Map {
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data: vec![fill; size],
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@ -80,7 +92,7 @@ impl<T> Map<T> {
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}
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}
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pub fn from_fn<S, F: FnMut(Coord) -> S>(mut f: F, radius: i64) -> Map<S> {
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pub fn from_fn<S, F: FnMut(Coord) -> S>(mut f: F, radius: i32) -> Map<S> {
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let size = count_hexes(radius) as usize;
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Map {
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radius,
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@ -203,7 +215,7 @@ impl<T: Hash + Eq + PartialEq> PartialOrd for PointWrapper<T> {
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}
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}
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pub fn generate_separated_high_points(n: usize, sep: i64, map: &Map<f32>) -> Vec<Coord> {
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pub fn generate_separated_high_points(n: usize, sep: i32, map: &Map<f32>) -> Vec<Coord> {
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let mut points = vec![];
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let mut priority = BinaryHeap::with_capacity(map.data.len());
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for (coord, height) in map.iter() {
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@ -263,39 +275,40 @@ fn astar<C: PartialEq + Eq + Hash + Copy + std::fmt::Debug, F: FnMut(C) -> f32,
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path
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}
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pub fn distance_map<I: Iterator<Item=Coord>>(radius: i64, sources: I) -> Map<f32> {
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pub fn distance_map<I: Iterator<Item=Coord>>(radius: i32, sources: I) -> Map<f32> {
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let radius_f = radius as f32;
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let mut distances = Map::<f32>::new(radius, radius_f);
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let mut queue = BinaryHeap::new();
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let mut queue = VecDeque::new();
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for source in sources {
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queue.push(PointWrapper(0.0, source));
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queue.push_back((0.0, source));
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}
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while let Some(PointWrapper(dist, coord)) = queue.pop() {
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while let Some((dist, coord)) = queue.pop_front() {
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if distances[coord] < radius_f {
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continue;
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}
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if dist < radius_f {
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distances[coord] = dist;
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}
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distances[coord] = dist;
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for offset in DIRECTIONS {
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let neighbor = coord + *offset;
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let new_distance = dist + 1.0;
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if distances.in_range(neighbor) && new_distance < distances[neighbor] {
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queue.push(PointWrapper(new_distance, neighbor));
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queue.push_back((new_distance, neighbor));
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}
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}
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}
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distances
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}
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pub fn compute_humidity(distances: Map<f32>, heightmap: &Map<f32>) -> Map<f32> {
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let mut humidity = distances;
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percentilize(&mut humidity, |x| (1.0 - x).powf(0.3));
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pub fn compute_groundwater(water: &Map<f32>, rain: &Map<f32>, heightmap: &Map<f32>) -> Map<f32> {
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let mut groundwater = distance_map(
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water.radius,
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water.iter().filter_map(|(c, i)| if *i > 0.0 { Some(c) } else { None }));;
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percentilize(&mut groundwater, |x| (1.0 - x).powf(0.3));
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for (coord, h) in heightmap.iter() {
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humidity[coord] -= *h * 0.6;
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groundwater[coord] -= *h * 0.05;
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groundwater[coord] += rain[coord] * 0.15;
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}
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percentilize(&mut humidity, |x| x.powf(1.0));
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humidity
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percentilize(&mut groundwater, |x| x.powf(0.7));
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groundwater
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}
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const SEA_LEVEL: f32 = -0.8;
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@ -319,13 +332,17 @@ fn floodfill(src: Coord, all: &HashSet<Coord>) -> HashSet<Coord> {
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out
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}
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pub fn simulate_water(heightmap: &mut Map<f32>) -> Map<f32> {
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pub fn get_sea(heightmap: &Map<f32>) -> (HashSet<Coord>, HashSet<Coord>) {
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let sinks = heightmap.iter_coords().filter(|(c, _)| heightmap[*c] <= SEA_LEVEL).map(|(c, _)| c).collect::<HashSet<_>>();
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let sea = floodfill(Coord::new(0, WORLD_RADIUS), &sinks);
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(sinks, sea)
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}
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pub fn simulate_water(heightmap: &mut Map<f32>, rain_map: &Map<f32>, sea: &HashSet<Coord>, sinks: &HashSet<Coord>) -> Map<f32> {
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let mut watermap = Map::<f32>::new(heightmap.radius, 0.0);
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let sources = generate_separated_high_points(WATER_SOURCES, WORLD_RADIUS / 10, &heightmap);
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let sinks = heightmap.iter_coords().filter(|(c, _)| heightmap[*c] <= SEA_LEVEL).map(|(c, _)| c).collect::<HashSet<_>>();
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let sources = generate_separated_high_points(WATER_SOURCES, WORLD_RADIUS / 10, &rain_map);
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let mut remainder = sinks.clone();
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let sea = floodfill(Coord::new(0, WORLD_RADIUS), &sinks);
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for s in sea.iter() {
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remainder.remove(&s);
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@ -377,7 +394,7 @@ pub fn simulate_water(heightmap: &mut Map<f32>) -> Map<f32> {
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for point in path {
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let water_range_raw = watermap[point] * 1.0 - heightmap[point];
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let water_range = water_range_raw.ceil() as i64;
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let water_range = water_range_raw.ceil() as i32;
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for (_, nearby) in hex_range(water_range) {
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if !watermap.in_range(point + nearby) {
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continue;
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@ -387,7 +404,7 @@ pub fn simulate_water(heightmap: &mut Map<f32>) -> Map<f32> {
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}
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let erosion_range_raw = (water_range_raw * 2.0 + 2.0).powf(EROSION_EXPONENT);
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let erosion_range = erosion_range_raw.ceil() as i64;
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let erosion_range = erosion_range_raw.ceil() as i32;
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for (this_range, nearby) in hex_range(erosion_range) {
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if !watermap.in_range(point + nearby) {
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continue;
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@ -403,6 +420,116 @@ pub fn simulate_water(heightmap: &mut Map<f32>) -> Map<f32> {
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watermap
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}
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struct WindSlice {
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coord: Coord,
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humidity: f32, // hPa
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temperature: f32, // relative, offset from base temperature
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last_height: f32
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}
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// https://en.wikipedia.org/wiki/Clausius%E2%80%93Clapeyron_relation#Meteorology_and_climatology
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// temperature in degrees Celsius for some reason, pressure in hPa
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// returns approx. saturation vapour pressure of water
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fn august_roche_magnus(temperature: f32) -> f32 {
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6.1094 * f32::exp((17.625 * temperature) / (243.04 + temperature))
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}
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// 2D hex convolution
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fn smooth(map: &Map<f32>, radius: i32) -> Map<f32> {
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let mut out = Map::<f32>::new(map.radius, 0.0);
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for (coord, index) in map.iter_coords() {
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let mut sum = map.data[index];
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for (_, offset) in hex_range(radius) {
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let neighbor = coord + offset;
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if map.in_range(neighbor) {
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sum += map[neighbor];
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}
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}
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out.data[index] = sum / (count_hexes(radius) as f32);
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}
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out
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}
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const BASE_TEMPERATURE: f32 = 30.0; // degrees
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const HEIGHT_SCALE: f32 = 1e3; // unrealistic but makes world more interesting; m
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const SEA_LEVEL_AIR_PRESSURE: f32 = 1013.0; // hPa
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const PRESSURE_DROP_PER_METER: f32 = 0.001; // hPa m^-1
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const AIR_SPECIFIC_HEAT_CAPACITY: f32 = 1012.0; // J kg^-1 K^-1
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const EARTH_GRAVITY: f32 = 9.81; // m s^-2
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pub fn simulate_air(heightmap: &Map<f32>, sea: &HashSet<Coord>, scan_dir: CoordVec, perpendicular_dir: CoordVec) -> (Map<f32>, Map<f32>, Map<f32>) {
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let start_pos = Coord::origin() + -scan_dir * WORLD_RADIUS;
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let mut rain_map = Map::<f32>::new(heightmap.radius, 0.0);
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let mut temperature_map = Map::<f32>::new(heightmap.radius, 0.0);
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let mut atmo_humidity = Map::<f32>::new(heightmap.radius, 0.0); // relative humidity
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let mut frontier = (-WORLD_RADIUS..=WORLD_RADIUS).map(|x| WindSlice {
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coord: start_pos + perpendicular_dir * x,
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humidity: 0.0,
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temperature: 0.0,
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last_height: -1.0
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}).collect::<Vec<_>>();
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loop {
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let mut any_in_range = false;
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// Wind moves across the terrain in some direction.
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// We treat it as a line advancing and gaining/losing water and temperature.
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// Water is lost when the partial pressure of water in the air is greater than the saturation vapour pressure.
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// Temperature changes with height based on a slightly dubious equation I derived.
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for slice in frontier.iter_mut() {
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if heightmap.in_range(slice.coord) {
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any_in_range = true;
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// okay approximation
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//let air_pressure = SEA_LEVEL_AIR_PRESSURE - PRESSURE_DROP_PER_METER * heightmap[slice.coord] * HEIGHT_SCALE; // hPa
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let max_water = august_roche_magnus(slice.temperature);
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// sea: reset temperature, max humidity
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if sea.contains(&slice.coord) {
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slice.temperature = BASE_TEMPERATURE;
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slice.humidity = max_water * 0.9;
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slice.last_height = SEA_LEVEL;
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} else {
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let excess = (slice.humidity - max_water).max(0.0);
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slice.humidity -= excess;
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let delta_h = (heightmap[slice.coord] - slice.last_height) * HEIGHT_SCALE;
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// ΔGPE = mgh = hgρV = hgρHS
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// ΔHE = CρHSΔT
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// ΔT = hg / C
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slice.temperature -= EARTH_GRAVITY * delta_h / AIR_SPECIFIC_HEAT_CAPACITY;
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rain_map[slice.coord] = excess;
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slice.last_height = heightmap[slice.coord];
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}
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atmo_humidity[slice.coord] = slice.humidity / max_water;
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temperature_map[slice.coord] = slice.temperature;
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}
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slice.coord += scan_dir;
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}
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let mut next_temperature = vec![0.0; frontier.len()];
|
||||
let mut next_humidity = vec![0.0; frontier.len()];
|
||||
// Smooth out temperature and humidity.
|
||||
for i in 1..(frontier.len()-1) {
|
||||
next_temperature[i] = 1.0/3.0 * (frontier[i-1].temperature + frontier[i+1].temperature + frontier[i].temperature);
|
||||
next_humidity[i] = 1.0/3.0 * (frontier[i-1].humidity + frontier[i+1].humidity + frontier[i].humidity);
|
||||
}
|
||||
|
||||
for (i, slice) in frontier.iter_mut().enumerate() {
|
||||
slice.temperature = next_temperature[i];
|
||||
slice.humidity = next_humidity[i];
|
||||
}
|
||||
|
||||
if !any_in_range { break; }
|
||||
}
|
||||
|
||||
normalize(&mut rain_map, |x| x.powf(0.5));
|
||||
let rain_map = smooth(&rain_map, 3);
|
||||
|
||||
normalize(&mut temperature_map, |x| x);
|
||||
|
||||
(rain_map, temperature_map, atmo_humidity)
|
||||
}
|
||||
|
||||
#[derive(Debug, Clone, Serialize, Deserialize)]
|
||||
pub enum TerrainType {
|
||||
Empty,
|
||||
@ -423,7 +550,11 @@ pub fn generate_world() -> GeneratedWorld {
|
||||
let mut heightmap = generate_heights();
|
||||
let mut terrain = Map::<TerrainType>::new(heightmap.radius, TerrainType::Empty);
|
||||
|
||||
let water = simulate_water(&mut heightmap);
|
||||
let (sinks, sea) = get_sea(&heightmap);
|
||||
|
||||
let (rain, temperature, atmo_humidity) = simulate_air(&heightmap, &sea, CoordVec::new(0, -1), CoordVec::new(1, 0));
|
||||
|
||||
let water = simulate_water(&mut heightmap, &rain, &sea, &sinks);
|
||||
|
||||
let contours = generate_contours(&heightmap, 0.15);
|
||||
|
||||
@ -439,10 +570,7 @@ pub fn generate_world() -> GeneratedWorld {
|
||||
}
|
||||
}
|
||||
|
||||
let distances = distance_map(
|
||||
WORLD_RADIUS,
|
||||
water.iter().filter_map(|(c, i)| if *i > 0.0 { Some(c) } else { None }));
|
||||
let humidity = compute_humidity(distances, &heightmap);
|
||||
let humidity = compute_groundwater(&water, &rain, &heightmap);
|
||||
|
||||
GeneratedWorld {
|
||||
heightmap,
|
||||
@ -484,7 +612,7 @@ impl GeneratedWorld {
|
||||
self.terrain[pos].clone()
|
||||
}
|
||||
|
||||
pub fn radius(&self) -> i64 {
|
||||
pub fn radius(&self) -> i32 {
|
||||
self.heightmap.radius
|
||||
}
|
||||
}
|
||||
@ -10,9 +10,13 @@ use map::*;
|
||||
|
||||
fn main() -> Result<()> {
|
||||
let mut heightmap = generate_heights();
|
||||
let (sinks, sea) = get_sea(&heightmap);
|
||||
|
||||
println!("wind...");
|
||||
let (rain, temperature, atmo_humidity) = simulate_air(&heightmap, &sea, CoordVec::new(0, -1), CoordVec::new(1, 0));
|
||||
|
||||
println!("hydro...");
|
||||
let water = simulate_water(&mut heightmap);
|
||||
let water = simulate_water(&mut heightmap, &rain, &sea, &sinks);
|
||||
|
||||
println!("contours...");
|
||||
let contours = generate_contours(&heightmap, 0.15);
|
||||
@ -25,10 +29,7 @@ fn main() -> Result<()> {
|
||||
}
|
||||
|
||||
println!("humidity...");
|
||||
let water_distances = distance_map(
|
||||
WORLD_RADIUS,
|
||||
water.iter().filter_map(|(c, i)| if *i > 0.0 { Some(c) } else { None }));
|
||||
let humidity = compute_humidity(water_distances, &heightmap);
|
||||
let groundwater = compute_groundwater(&water, &rain, &heightmap);
|
||||
|
||||
println!("rendering...");
|
||||
let mut image = ImageBuffer::from_pixel((WORLD_RADIUS * 2 + 1) as u32, (WORLD_RADIUS * 2 + 1) as u32, Rgb::from([0u8, 0, 0]));
|
||||
@ -36,11 +37,11 @@ fn main() -> Result<()> {
|
||||
for (position, value) in heightmap.iter() {
|
||||
let col = position.x + (position.y - (position.y & 1)) / 2 + WORLD_RADIUS;
|
||||
let row = position.y + WORLD_RADIUS;
|
||||
let height = ((*value + 1.0) * 127.5) as u8;
|
||||
let contour = contour_points.get(&position).copied().unwrap_or_default();
|
||||
//let contour = (255.0 * humidity[position]) as u8;
|
||||
let water = water[position];
|
||||
image.put_pixel(col as u32, row as u32, Rgb::from([contour, height, (water.min(1.0) * 255.0) as u8]));
|
||||
//let height = ((*value + 1.0) * 127.5) as u8;
|
||||
let green_channel = groundwater[position];
|
||||
let red_channel = temperature[position];
|
||||
let blue_channel = water[position].min(1.0);
|
||||
image.put_pixel(col as u32, row as u32, Rgb::from([(red_channel * 255.0) as u8, (green_channel * 255.0) as u8, (blue_channel * 255.0) as u8]));
|
||||
}
|
||||
|
||||
image.save("./out.png")?;
|
||||
|
||||
Loading…
Reference in New Issue
Block a user