veloren/world/src/sim/mod.rs

683 lines
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mod util;
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mod location;
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mod settlement;
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// Reexports
pub use self::location::Location;
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pub use self::settlement::Settlement;
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use self::util::{
cdf_irwin_hall, InverseCdf, uniform_idx_as_vec2, uniform_noise,
};
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use crate::{
all::ForestKind,
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util::{seed_expan, Sampler, StructureGen2d},
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CONFIG,
};
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use common::{
terrain::{BiomeKind, TerrainChunkSize},
vol::VolSize,
};
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use noise::{
BasicMulti, Billow, HybridMulti, MultiFractal, NoiseFn, RidgedMulti, Seedable, SuperSimplex,
};
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use rand::{Rng, SeedableRng};
use rand_chacha::ChaChaRng;
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use std::{
f32,
ops::{Add, Div, Mul, Neg, Sub},
};
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use vek::*;
pub const WORLD_SIZE: Vec2<usize> = Vec2 { x: 1024, y: 1024 };
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/// Calculates the smallest distance along an axis (x, y) from an edge of
/// the world. This value is maximal at WORLD_SIZE / 2 and minimized at the extremes
/// (0 or WORLD_SIZE on one or more axes). It then divides the quantity by cell_size,
/// so the final result is 1 when we are not in a cell along the edge of the world, and
/// ranges between 0 and 1 otherwise (lower when the chunk is closer to the edge).
fn map_edge_factor(posi: usize) -> f32 {
uniform_idx_as_vec2(posi)
.map2(WORLD_SIZE.map(|e| e as i32), |e, sz| {
(sz / 2 - (e - sz / 2).abs()) as f32 / 16.0
})
.reduce_partial_min()
.max(0.0)
.min(1.0)
}
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/// A structure that holds cached noise values and cumulative distribution functions for the input
/// that led to those values. See the definition of InverseCdf for a description of how to
/// interpret the types of its fields.
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struct GenCdf {
humid_base: InverseCdf,
temp_base: InverseCdf,
alt_base: InverseCdf,
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chaos: InverseCdf,
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alt: InverseCdf,
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}
pub(crate) struct GenCtx {
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pub turb_x_nz: SuperSimplex,
pub turb_y_nz: SuperSimplex,
pub chaos_nz: RidgedMulti,
pub alt_nz: HybridMulti,
pub hill_nz: SuperSimplex,
pub temp_nz: SuperSimplex,
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// Fresh groundwater (currently has no effect, but should influence humidity)
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pub dry_nz: BasicMulti,
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// Humidity noise
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pub humid_nz: Billow,
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// Small amounts of noise for simulating rough terrain.
pub small_nz: BasicMulti,
pub rock_nz: HybridMulti,
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pub cliff_nz: HybridMulti,
pub warp_nz: BasicMulti,
pub tree_nz: BasicMulti,
pub cave_0_nz: SuperSimplex,
pub cave_1_nz: SuperSimplex,
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pub structure_gen: StructureGen2d,
pub region_gen: StructureGen2d,
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pub cliff_gen: StructureGen2d,
}
pub struct WorldSim {
pub seed: u32,
pub(crate) chunks: Vec<SimChunk>,
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pub(crate) locations: Vec<Location>,
pub(crate) gen_ctx: GenCtx,
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pub rng: ChaChaRng,
}
impl WorldSim {
pub fn generate(mut seed: u32) -> Self {
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let mut seed = &mut seed;
let mut gen_seed = || {
*seed = seed_expan::diffuse(*seed);
*seed
};
let mut gen_ctx = GenCtx {
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turb_x_nz: SuperSimplex::new().set_seed(gen_seed()),
turb_y_nz: SuperSimplex::new().set_seed(gen_seed()),
chaos_nz: RidgedMulti::new().set_octaves(7).set_seed(gen_seed()),
hill_nz: SuperSimplex::new().set_seed(gen_seed()),
alt_nz: HybridMulti::new()
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.set_octaves(8)
.set_persistence(0.1)
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.set_seed(gen_seed()),
temp_nz: SuperSimplex::new().set_seed(gen_seed()),
dry_nz: BasicMulti::new().set_seed(gen_seed()),
small_nz: BasicMulti::new().set_octaves(2).set_seed(gen_seed()),
rock_nz: HybridMulti::new().set_persistence(0.3).set_seed(gen_seed()),
cliff_nz: HybridMulti::new().set_persistence(0.3).set_seed(gen_seed()),
warp_nz: BasicMulti::new().set_octaves(3).set_seed(gen_seed()),
tree_nz: BasicMulti::new()
.set_octaves(12)
.set_persistence(0.75)
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.set_seed(gen_seed()),
cave_0_nz: SuperSimplex::new().set_seed(gen_seed()),
cave_1_nz: SuperSimplex::new().set_seed(gen_seed()),
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structure_gen: StructureGen2d::new(gen_seed(), 32, 24),
region_gen: StructureGen2d::new(gen_seed(), 400, 96),
cliff_gen: StructureGen2d::new(gen_seed(), 80, 56),
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humid_nz: Billow::new()
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.set_octaves(12)
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.set_persistence(0.125)
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.set_frequency(1.0)
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// .set_octaves(6)
// .set_persistence(0.5)
.set_seed(gen_seed()),
};
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// From 0 to 1.6, but the distribution before the max is from -1 and 1, so there is a 50%
// chance that hill will end up at 0.
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let hill = uniform_noise(|_, wposf| {
(0.0 + gen_ctx
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.hill_nz
.get((wposf.div(1_500.0)).into_array())
.mul(1.0) as f32
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+ gen_ctx
.hill_nz
.get((wposf.div(500.0)).into_array())
.mul(0.3) as f32)
.add(0.3)
.max(0.0)
});
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// 0 to 1, hopefully.
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let humid_base = uniform_noise(|_, wposf| {
(gen_ctx.humid_nz.get(wposf.div(1024.0).into_array()) as f32)
.add(1.0)
.mul(0.5)
});
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// -1 to 1.
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let temp_base = uniform_noise(|_, wposf| {
(gen_ctx.temp_nz.get((wposf.div(12000.0)).into_array()) as f32)
});
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// "Base" of the chunk, to be multiplied by CONFIG.mountain_scale (multiplied value is
// from -0.25 * (CONFIG.mountain_scale * 1.1) to 0.25 * (CONFIG.mountain_scale * 0.9),
// but value here is from -0.275 to 0.225).
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let alt_base = uniform_noise(|_, wposf| {
(gen_ctx.alt_nz.get((wposf.div(12_000.0)).into_array()) as f32)
.sub(0.1)
.mul(0.25)
});
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// chaos produces a value in [0.1, 1.24]. It is a meta-level factor intended to reflect how
// "chaotic" the region is--how much weird stuff is going on on this terrain.
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let chaos = uniform_noise(|posi, wposf| {
(gen_ctx.chaos_nz.get((wposf.div(3_000.0)).into_array()) as f32)
.add(1.0)
.mul(0.5)
// [0, 1] * [0.25, 1] = [0, 1] (but probably towards the lower end)
.mul(
(gen_ctx.chaos_nz.get((wposf.div(6_000.0)).into_array()) as f32)
.abs()
.max(0.25)
.min(1.0),
)
// Chaos is always increased by a little when we're on a hill (but remember that
// hill is 0 about 50% of the time).
// [0, 1] + 0.15 * [0, 1.6] = [0, 1.24]
.add(0.2 * hill[posi].1)
// [0, 1.24] * [0.35, 1.0] = [0, 1.24].
// Sharply decreases (towards 0.35) when temperature is near desert_temp (from below),
// then saturates just before it actually becomes desert. Otherwise stays at 1.
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// Note that this is not the *final* temperature, only the initial noise value for
// temperature.
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.mul(
temp_base[posi]
.1
.sub(0.45)
.neg()
.mul(12.0)
.max(0.35)
.min(1.0),
)
// We can't have *no* chaos!
.max(0.1)
});
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// We ignore sea level because we actually want to be relative to sea level here and want
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// things in CONFIG.mountain_scale units, but otherwise this is a correct altitude
// calculation. Note that this is using the "unadjusted" temperature.
let alt = uniform_noise(|posi, wposf| {
// This is the extension upwards from the base added to some extra noise from -1 to 1.
// The extra noise is multiplied by alt_main (the mountain part of the extension)
// clamped to [0.25, 1], and made 60% larger (so the extra noise is between [-1.6, 1.6],
// and the final noise is never more than 160% or less than 40% of the original noise,
// depending on altitude).
// Adding this to alt_main thus yields a value between -0.4 (if alt_main = 0 and
// gen_ctx = -1) and 2.6 (if alt_main = 1 and gen_ctx = 1). When the generated small_nz
// value hits -0.625 the value crosses 0, so most of the points are above 0.
//
// Then, we add 1 and divide by 2 to get a value between 0.3 and 1.8.
let alt_main = {
// Extension upwards from the base. A positive number from 0 to 1 curved to be
// maximal at 0. Also to be multiplied by CONFIG.mountain_scale.
let alt_main = (gen_ctx.alt_nz.get((wposf.div(2_000.0)).into_array()) as f32)
.abs()
.powf(1.45);
(0.0 + alt_main
+ (gen_ctx.small_nz.get((wposf.div(300.0)).into_array()) as f32)
.mul(alt_main.max(0.25))
.mul(0.2))
.add(1.0)
.mul(0.5)
};
// Now we can compute the final altitude using chaos.
// We multiply by chaos clamped to [0.1, 1.24] to get a value between 0.03 and 2.232 for
// alt_pre, then multiply by CONFIG.mountain_scale and add to the base and sea level to
// get an adjusted value, then multiply the whole thing by map_edge_factor
// (TODO: compute final bounds).
(alt_base[posi].1 + alt_main.mul(chaos[posi].1))
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.mul(map_edge_factor(posi))
});
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let gen_cdf = GenCdf {
humid_base,
temp_base,
alt_base,
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chaos,
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alt,
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};
let mut chunks = Vec::new();
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for i in 0..WORLD_SIZE.x * WORLD_SIZE.y {
chunks.push(SimChunk::generate(i, &mut gen_ctx, &gen_cdf));
}
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let mut this = Self {
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seed: *seed,
chunks,
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locations: Vec::new(),
gen_ctx,
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rng: ChaChaRng::from_seed(seed_expan::rng_state(*seed)),
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};
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this.seed_elements();
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this
}
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/// Prepare the world for simulation
pub fn seed_elements(&mut self) {
let mut rng = self.rng.clone();
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let cell_size = 16;
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let grid_size = WORLD_SIZE / cell_size;
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let loc_count = 100;
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let mut loc_grid = vec![None; grid_size.product()];
let mut locations = Vec::new();
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// Seed the world with some locations
for _ in 0..loc_count {
let cell_pos = Vec2::new(
self.rng.gen::<usize>() % grid_size.x,
self.rng.gen::<usize>() % grid_size.y,
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);
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let wpos = (cell_pos * cell_size + cell_size / 2)
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.map2(Vec2::from(TerrainChunkSize::SIZE), |e, sz: u32| {
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e as i32 * sz as i32 + sz as i32 / 2
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});
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locations.push(Location::generate(wpos, &mut rng));
loc_grid[cell_pos.y * grid_size.x + cell_pos.x] = Some(locations.len() - 1);
}
// Find neighbours
let mut loc_clone = locations
.iter()
.map(|l| l.center)
.enumerate()
.collect::<Vec<_>>();
for i in 0..locations.len() {
let pos = locations[i].center;
loc_clone.sort_by_key(|(_, l)| l.distance_squared(pos));
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loc_clone.iter().skip(1).take(2).for_each(|(j, _)| {
locations[i].neighbours.insert(*j);
locations[*j].neighbours.insert(i);
});
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}
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// Simulate invasion!
let invasion_cycles = 25;
for _ in 0..invasion_cycles {
for i in 0..grid_size.x {
for j in 0..grid_size.y {
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if loc_grid[j * grid_size.x + i].is_none() {
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const R_COORDS: [i32; 5] = [-1, 0, 1, 0, -1];
let idx = self.rng.gen::<usize>() % 4;
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let loc = Vec2::new(i as i32 + R_COORDS[idx], j as i32 + R_COORDS[idx + 1])
.map(|e| e as usize);
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loc_grid[j * grid_size.x + i] =
loc_grid.get(loc.y * grid_size.x + loc.x).cloned().flatten();
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}
}
}
}
// Place the locations onto the world
let gen = StructureGen2d::new(self.seed, cell_size as u32, cell_size as u32 / 2);
for i in 0..WORLD_SIZE.x {
for j in 0..WORLD_SIZE.y {
let chunk_pos = Vec2::new(i as i32, j as i32);
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let block_pos = Vec2::new(
chunk_pos.x * TerrainChunkSize::SIZE.x as i32,
chunk_pos.y * TerrainChunkSize::SIZE.y as i32,
);
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let _cell_pos = Vec2::new(i / cell_size, j / cell_size);
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// Find the distance to each region
let near = gen.get(chunk_pos);
let mut near = near
.iter()
.map(|(pos, seed)| RegionInfo {
chunk_pos: *pos,
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block_pos: pos.map2(Vec2::from(TerrainChunkSize::SIZE), |e, sz: u32| {
e * sz as i32
}),
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dist: (pos - chunk_pos).map(|e| e as f32).magnitude(),
seed: *seed,
})
.collect::<Vec<_>>();
// Sort regions based on distance
near.sort_by(|a, b| a.dist.partial_cmp(&b.dist).unwrap());
let nearest_cell_pos = near[0].chunk_pos.map(|e| e as usize) / cell_size;
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self.get_mut(chunk_pos).unwrap().location = loc_grid
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.get(nearest_cell_pos.y * grid_size.x + nearest_cell_pos.x)
.cloned()
.unwrap_or(None)
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.map(|loc_idx| LocationInfo { loc_idx, near });
let town_size = 200;
let in_town = self
.get(chunk_pos)
.unwrap()
.location
.as_ref()
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.map(|l| {
locations[l.loc_idx].center.distance_squared(block_pos)
< town_size * town_size
})
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.unwrap_or(false);
if in_town {
self.get_mut(chunk_pos).unwrap().spawn_rate = 0.0;
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}
}
}
self.rng = rng;
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self.locations = locations;
}
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pub fn get(&self, chunk_pos: Vec2<i32>) -> Option<&SimChunk> {
if chunk_pos
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.map2(WORLD_SIZE, |e, sz| e >= 0 && e < sz as i32)
.reduce_and()
{
Some(&self.chunks[chunk_pos.y as usize * WORLD_SIZE.x + chunk_pos.x as usize])
} else {
None
}
}
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pub fn get_mut(&mut self, chunk_pos: Vec2<i32>) -> Option<&mut SimChunk> {
if chunk_pos
.map2(WORLD_SIZE, |e, sz| e >= 0 && e < sz as i32)
.reduce_and()
{
Some(&mut self.chunks[chunk_pos.y as usize * WORLD_SIZE.x + chunk_pos.x as usize])
} else {
None
}
}
pub fn get_base_z(&self, chunk_pos: Vec2<i32>) -> Option<f32> {
self.get(chunk_pos).and_then(|_| {
(0..2)
.map(|i| (0..2).map(move |j| (i, j)))
.flatten()
.map(|(i, j)| {
self.get(chunk_pos + Vec2::new(i, j))
.map(|c| c.get_base_z())
})
.flatten()
.fold(None, |a: Option<f32>, x| a.map(|a| a.min(x)).or(Some(x)))
})
}
pub fn get_interpolated<T, F>(&self, pos: Vec2<i32>, mut f: F) -> Option<T>
where
T: Copy + Default + Add<Output = T> + Mul<f32, Output = T>,
F: FnMut(&SimChunk) -> T,
{
let pos = pos.map2(TerrainChunkSize::SIZE.into(), |e, sz: u32| {
e as f64 / sz as f64
});
let cubic = |a: T, b: T, c: T, d: T, x: f32| -> T {
let x2 = x * x;
// Catmull-Rom splines
let co0 = a * -0.5 + b * 1.5 + c * -1.5 + d * 0.5;
let co1 = a + b * -2.5 + c * 2.0 + d * -0.5;
let co2 = a * -0.5 + c * 0.5;
let co3 = b;
co0 * x2 * x + co1 * x2 + co2 * x + co3
};
let mut x = [T::default(); 4];
for (x_idx, j) in (-1..3).enumerate() {
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let y0 = f(self.get(pos.map2(Vec2::new(j, -1), |e, q| e.max(0.0) as i32 + q))?);
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let y1 = f(self.get(pos.map2(Vec2::new(j, 0), |e, q| e.max(0.0) as i32 + q))?);
let y2 = f(self.get(pos.map2(Vec2::new(j, 1), |e, q| e.max(0.0) as i32 + q))?);
let y3 = f(self.get(pos.map2(Vec2::new(j, 2), |e, q| e.max(0.0) as i32 + q))?);
x[x_idx] = cubic(y0, y1, y2, y3, pos.y.fract() as f32);
}
Some(cubic(x[0], x[1], x[2], x[3], pos.x.fract() as f32))
}
}
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pub struct SimChunk {
pub chaos: f32,
pub alt_base: f32,
pub alt: f32,
pub temp: f32,
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pub dryness: f32,
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pub humidity: f32,
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pub rockiness: f32,
pub is_cliffs: bool,
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pub near_cliffs: bool,
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pub tree_density: f32,
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pub forest_kind: ForestKind,
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pub spawn_rate: f32,
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pub location: Option<LocationInfo>,
}
#[derive(Copy, Clone)]
pub struct RegionInfo {
pub chunk_pos: Vec2<i32>,
pub block_pos: Vec2<i32>,
pub dist: f32,
pub seed: u32,
}
#[derive(Clone)]
pub struct LocationInfo {
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pub loc_idx: usize,
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pub near: Vec<RegionInfo>,
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}
impl SimChunk {
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fn generate(posi: usize, gen_ctx: &mut GenCtx, gen_cdf: &GenCdf) -> Self {
let pos = uniform_idx_as_vec2(posi);
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let wposf = (pos * TerrainChunkSize::SIZE.map(|e| e as i32)).map(|e| e as f64);
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// FIXME: Currently unused, but should represent fresh groundwater level.
// Should be correlated a little with humidity, somewhat negatively with altitude,
// and very negatively with difference in temperature from zero.
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let dryness = gen_ctx.dry_nz.get(
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(wposf
.add(Vec2::new(
gen_ctx
.dry_nz
.get((wposf.add(10000.0).div(500.0)).into_array())
* 150.0,
gen_ctx.dry_nz.get((wposf.add(0.0).div(500.0)).into_array()) * 150.0,
))
.div(2_000.0))
.into_array(),
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) as f32;
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let (_, alt_base) = gen_cdf.alt_base[posi];
let map_edge_factor = map_edge_factor(posi);
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let (_, chaos) = gen_cdf.chaos[posi];
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let (humid_uniform, _) = gen_cdf.humid_base[posi];
let (alt_uniform, alt_pre) = gen_cdf.alt[posi];
let (temp_uniform, _) = gen_cdf.temp_base[posi];
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// Take the weighted average of our randomly generated base humidity, the scaled
// negative altitude, and other random variable (to add some noise) to yield the
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// final humidity. Note that we are using the "old" version of chaos here.
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const HUMID_WEIGHTS: [f32; 2] = [1.0, 1.0];
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let humidity = cdf_irwin_hall(&HUMID_WEIGHTS, [humid_uniform, 1.0 - alt_uniform]);
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// We also correlate temperature negatively with altitude using different weighting than we
// use for humidity.
const TEMP_WEIGHTS: [f32; 2] = [2.0, 1.0];
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let temp = cdf_irwin_hall(&TEMP_WEIGHTS, [temp_uniform, 1.0 - alt_uniform])
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// Convert to [-1, 1]
.sub(0.5)
.mul(2.0);
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let alt_base = alt_base.mul(CONFIG.mountain_scale);
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let alt = CONFIG
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.sea_level.mul(map_edge_factor)
.add(alt_pre.mul(CONFIG.mountain_scale));
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let cliff = gen_ctx.cliff_nz.get((wposf.div(2048.0)).into_array()) as f32 + chaos * 0.2;
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// Logistic regression. Make sure x ∈ (0, 1).
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let logit = |x: f32| x.ln() - x.neg().ln_1p();
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// 0.5 + 0.5 * tanh(ln(1 / (1 - 0.1) - 1) / (2 * (sqrt(3)/pi)))
let logistic_2_base = 3.0f32.sqrt().mul(f32::consts::FRAC_2_PI);
// Assumes μ = 0, σ = 1
let logistic_cdf = |x: f32| x.div(logistic_2_base).tanh().mul(0.5).add(0.5);
// No trees in the ocean or with zero humidity (currently)
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let tree_density = if alt <= CONFIG.sea_level + 5.0 {
0.0
} else {
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let tree_density = (gen_ctx.tree_nz.get((wposf.div(1024.0)).into_array()) as f32)
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.mul(1.5)
.add(1.0)
.mul(0.5)
.mul(1.2 - chaos * 0.95)
.add(0.05)
.max(0.0)
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.min(1.0);
// Tree density should go (by a lot) with humidity.
if humidity <= 0.0 || tree_density <= 0.0 {
0.0
} else if humidity >= 1.0 || tree_density >= 1.0 {
1.0
} else {
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// Weighted logit sum.
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logistic_cdf(logit(humidity) + 0.5 * logit(tree_density))
}
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// rescale to (-0.9, 0.9)
.sub(0.5)
.mul(0.9)
.add(0.5)
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};
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Self {
chaos,
alt_base,
alt,
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temp,
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dryness,
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humidity,
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rockiness: (gen_ctx.rock_nz.get((wposf.div(1024.0)).into_array()) as f32)
.sub(0.1)
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.mul(1.3)
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.max(0.0),
is_cliffs: cliff > 0.5
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&& dryness > 0.05
&& alt > CONFIG.sea_level + 5.0
&& dryness.abs() > 0.075,
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near_cliffs: cliff > 0.25,
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tree_density,
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forest_kind: if temp > 0.0 {
if temp > CONFIG.desert_temp {
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if humidity > CONFIG.jungle_hum {
// Forests in desert temperatures with extremely high humidity
// should probably be different from palm trees, but we use them
// for now.
ForestKind::Palm
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} else if humidity > CONFIG.forest_hum {
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ForestKind::Palm
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} else if humidity > CONFIG.desert_hum {
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// Low but not desert humidity, so we should really have some other
// terrain...
ForestKind::Savannah
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} else {
ForestKind::Savannah
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}
} else if temp > CONFIG.tropical_temp {
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if humidity > CONFIG.jungle_hum {
ForestKind::Mangrove
} else if humidity > CONFIG.forest_hum {
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// NOTE: Probably the wrong kind of tree for this climate.
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ForestKind::Oak
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} else if humidity > CONFIG.desert_hum {
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// Low but not desert... need something besides savannah.
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ForestKind::Savannah
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} else {
ForestKind::Savannah
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}
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} else {
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if humidity > CONFIG.jungle_hum {
// Temperate climate with jungle humidity...
// https://en.wikipedia.org/wiki/Humid_subtropical_climates are often
// densely wooded and full of water. Semitropical rainforests, basically.
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// For now we just treet them like other rainforests.
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ForestKind::Oak
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} else if humidity > CONFIG.forest_hum {
// Moderate climate, moderate humidity.
ForestKind::Oak
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} else if humidity > CONFIG.desert_hum {
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// With moderate temperature and low humidity, we should probably see
// something different from savannah, but oh well...
ForestKind::Savannah
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} else {
ForestKind::Savannah
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}
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}
} else {
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// For now we don't take humidity into account for cold climates (but we really
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// should!) except that we make sure we only have snow pines when there is snow.
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if temp <= CONFIG.snow_temp && humidity > CONFIG.forest_hum {
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ForestKind::SnowPine
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} else if humidity > CONFIG.desert_hum {
ForestKind::Pine
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} else {
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// Should really have something like tundra.
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ForestKind::Pine
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}
},
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spawn_rate: 1.0,
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location: None,
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}
}
pub fn get_base_z(&self) -> f32 {
self.alt - self.chaos * 50.0 - 16.0
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}
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pub fn get_name(&self, world: &WorldSim) -> Option<String> {
if let Some(loc) = &self.location {
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Some(world.locations[loc.loc_idx].name().to_string())
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} else {
None
}
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}
pub fn get_biome(&self) -> BiomeKind {
if self.alt < CONFIG.sea_level {
BiomeKind::Ocean
} else if self.chaos > 0.6 {
BiomeKind::Mountain
} else if self.temp > CONFIG.desert_temp {
BiomeKind::Desert
} else if self.temp < CONFIG.snow_temp {
BiomeKind::Snowlands
} else if self.tree_density > 0.65 {
BiomeKind::Forest
} else {
BiomeKind::Grassland
}
}
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}