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-rw-r--r--.gitignore1
-rw-r--r--Cargo.lock1157
-rw-r--r--Cargo.toml16
-rw-r--r--src/gpx.rs69
-rw-r--r--src/layer.rs154
-rw-r--r--src/main.rs31
-rw-r--r--src/renderer.rs189
7 files changed, 1617 insertions, 0 deletions
diff --git a/.gitignore b/.gitignore
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diff --git a/Cargo.lock b/Cargo.lock
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index 0000000..3fa0fe9
--- /dev/null
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+++ b/src/gpx.rs
@@ -0,0 +1,69 @@
+//! GPX data extraction functions.
+//!
+//! We *could* use the [gpx](https://github.com/georust/gpx) crate, but we don't care about much
+//! other than the coordinates of the tracks. By implementing the little functionality ourselves,
+//! we can use a fast XML parser ([roxmltree](https://github.com/RazrFalcon/roxmltree)).
+use std::{f64::consts::PI, fs, path::Path};
+
+use color_eyre::eyre::{eyre, Result};
+use roxmltree::{Document, Node, NodeType};
+
+#[derive(Debug, Copy, Clone, PartialEq)]
+pub struct Coordinates {
+ longitude: f64,
+ latitude: f64,
+}
+
+impl Coordinates {
+ /// Calculates the [Web Mercator
+ /// projection](https://en.wikipedia.org/wiki/Web_Mercator_projection) of the coordinates.
+ /// Returns the `(x, y)` coordinates.
+ pub fn web_mercator(self, zoom: u32) -> (u64, u64) {
+ let lambda = self.longitude.to_radians();
+ let phi = self.latitude.to_radians();
+ let x = 2u64.pow(zoom) as f64 / (2.0 * PI) * 256.0 * (lambda + PI);
+ let y = 2u64.pow(zoom) as f64 / (2.0 * PI) * 256.0 * (PI - (PI / 4.0 + phi / 2.0).tan().ln());
+ (x.floor() as u64, y.floor() as u64)
+ }
+}
+
+fn is_track_node(node: &Node) -> bool {
+ node.node_type() == NodeType::Element && node.tag_name().name() == "trk"
+}
+
+fn is_track_segment(node: &Node) -> bool {
+ node.node_type() == NodeType::Element && node.tag_name().name() == "trkseg"
+}
+
+fn is_track_point(node: &Node) -> bool {
+ node.node_type() == NodeType::Element && node.tag_name().name() == "trkpt"
+}
+
+pub fn extract_from_str(input: &str) -> Result<Vec<Coordinates>> {
+ let mut result = Vec::new();
+ let document = Document::parse(input)?;
+ for node in document.root_element().children().filter(is_track_node) {
+ for segment in node.children().filter(is_track_segment) {
+ for point in segment.children().filter(is_track_point) {
+ let latitude = point.attribute("lat")
+ .and_then(|l| l.parse::<f64>().ok())
+ .ok_or_else(|| eyre!("Invalid latitude"))?;
+ let longitude = point.attribute("lon")
+ .and_then(|l| l.parse::<f64>().ok())
+ .ok_or_else(|| eyre!("Invalid longitude"))?;
+ result.push(Coordinates { latitude, longitude });
+ }
+ }
+ }
+ Ok(result)
+}
+
+#[derive(Debug, Copy, Clone, PartialEq, Eq, Hash)]
+pub enum Compression {
+ None,
+}
+
+pub fn extract_from_file<P: AsRef<Path>>(path: P, _compression: Compression) -> Result<Vec<Coordinates>> {
+ let content = fs::read_to_string(path)?;
+ extract_from_str(&content)
+}
diff --git a/src/layer.rs b/src/layer.rs
new file mode 100644
index 0000000..465953d
--- /dev/null
+++ b/src/layer.rs
@@ -0,0 +1,154 @@
+//! Lazy tiled image.
+//!
+//! This supports OSM-style "tiled" images, but not all of the tiles have to be present. If a tile
+//! is not present, a default pixel is returned. The tile is allocated with the first call to a
+//! mutating operation.
+use std::{fs::{self, File}, io::BufWriter, path::Path};
+
+use color_eyre::eyre::{bail, Result};
+use fnv::FnvHashMap;
+use image::{
+ codecs::png::{CompressionType, FilterType, PngEncoder},
+ ColorType, ImageBuffer, ImageEncoder, Pixel, Rgba, RgbaImage,
+};
+
+pub const TILE_HEIGHT: u64 = 256;
+pub const TILE_WIDTH: u64 = 256;
+
+/// Main "lazy image buffer" struct.
+#[derive(Debug, Clone)]
+pub struct TileLayer<P: Pixel> {
+ tiles: FnvHashMap<(u64, u64), ImageBuffer<P, Vec<P::Subpixel>>>,
+ default_pixel: P,
+ width: u64,
+ height: u64,
+}
+
+impl<P: Pixel> TileLayer<P> {
+ pub fn from_pixel(width: u64, height: u64, pixel: P) -> Self {
+ TileLayer {
+ tiles: Default::default(),
+ default_pixel: pixel,
+ width,
+ height,
+ }
+ }
+
+ pub fn width(&self) -> u64 {
+ self.width
+ }
+
+ pub fn height(&self) -> u64 {
+ self.height
+ }
+
+ fn index(&self, x: u64, y: u64) -> ((u64, u64), (u32, u32)) {
+ (
+ (x / TILE_WIDTH, y / TILE_HEIGHT),
+ ((x % TILE_WIDTH).try_into().unwrap(), (y % TILE_HEIGHT).try_into().unwrap()),
+ )
+ }
+
+ pub fn enumerate_tiles(&self) -> impl Iterator<Item = (u64, u64, &ImageBuffer<P, Vec<P::Subpixel>>)> {
+ self.tiles.iter().map(|((x, y), t)| (*x, *y, t))
+ }
+
+ pub fn tile_mut(&mut self, tile_x: u64, tile_y: u64) -> &mut ImageBuffer<P, Vec<P::Subpixel>> {
+ self.tiles
+ .entry((tile_x, tile_y))
+ .or_insert_with(|| ImageBuffer::from_pixel(TILE_WIDTH as u32, TILE_HEIGHT as u32, self.default_pixel))
+ }
+
+ pub fn tile_for_mut(&mut self, x: u64, y: u64) -> &mut ImageBuffer<P, Vec<P::Subpixel>> {
+ let ((tx, ty), _) = self.index(x, y);
+ self.tile_mut(tx, ty)
+ }
+
+ pub fn get_pixel_checked(&self, x: u64, y: u64) -> Option<&P> {
+ if x >= self.width || y >= self.height {
+ return None;
+ }
+
+ let (outer_idx, (inner_x, inner_y)) = self.index(x, y);
+ self.tiles
+ .get(&outer_idx)
+ .map(|tile| tile.get_pixel(inner_x, inner_y))
+ .or_else(|| Some(&self.default_pixel))
+ }
+
+ pub fn get_pixel(&self, x: u64, y: u64) -> &P {
+ // This is kinda cheating, but we care about the API for now, not the speed. We can
+ // optimize this later.
+ self.get_pixel_checked(x, y).unwrap()
+ }
+
+ pub fn get_pixel_mut_checked(&mut self, x: u64, y: u64) -> Option<&mut P> {
+ if x >= self.width || y >= self.height {
+ return None;
+ }
+
+ let ((outer_x, outer_y), (inner_x, inner_y)) = self.index(x, y);
+ Some(
+ self.tile_mut(outer_x, outer_y)
+ .get_pixel_mut(inner_x, inner_y),
+ )
+ }
+
+ pub fn get_pixel_mut(&mut self, x: u64, y: u64) -> &mut P {
+ self.get_pixel_mut_checked(x, y).unwrap()
+ }
+
+ /// Enumerate all pixels that are explicitely set in this layer.
+ pub fn enumerate_pixels(&self) -> impl Iterator<Item = (u64, u64, &P)> {
+ self.tiles.iter().flat_map(|((tx, ty), tile)| {
+ tile.enumerate_pixels()
+ .map(move |(x, y, p)| (u64::from(x) + tx * TILE_WIDTH, u64::from(y) + ty * TILE_HEIGHT, p))
+ })
+ }
+
+ /// Mutably enumerate all pixels that are explicitely set in this layer.
+ pub fn enumerate_pixels_mut(&mut self) -> impl Iterator<Item = (u64, u64, &mut P)> {
+ self.tiles.iter_mut().flat_map(|((tx, ty), tile)| {
+ tile.enumerate_pixels_mut()
+ .map(move |(x, y, p)| (u64::from(x) + tx * TILE_WIDTH, u64::from(y) + ty * TILE_HEIGHT, p))
+ })
+ }
+
+ pub fn pixels(&self) -> impl Iterator<Item = &P> {
+ self.enumerate_pixels().map(|x| x.2)
+ }
+
+ pub fn pixels_mut(&mut self) -> impl Iterator<Item = &mut P> {
+ self.enumerate_pixels_mut().map(|x| x.2)
+ }
+}
+
+impl TileLayer<Rgba<u8>> {
+ pub fn save_to_directory<S: AsRef<Path>>(&self, path: S) -> Result<()> {
+ let path = path.as_ref();
+
+ for ((x, y), tile) in self.tiles.iter() {
+ let folder = path.join(&x.to_string());
+ let metadata = folder.metadata();
+ match metadata {
+ Err(_) => fs::create_dir(&folder)?,
+ Ok(m) if !m.is_dir() => bail!("Output path is not a directory"),
+ _ => {},
+ }
+ let file = folder.join(&format!("{y}.png"));
+ compress_png(tile, file)?;
+ }
+
+ Ok(())
+ }
+}
+
+pub fn compress_png<P: AsRef<Path>>(image: &RgbaImage, path: P) -> Result<()> {
+ let outstream = BufWriter::new(File::create(path)?);
+ let encoder =
+ PngEncoder::new_with_quality(outstream, CompressionType::Best, FilterType::Adaptive);
+
+ encoder.write_image(&image, image.width(), image.height(), ColorType::Rgba8)?;
+
+ Ok(())
+}
diff --git a/src/main.rs b/src/main.rs
new file mode 100644
index 0000000..b5bbdb3
--- /dev/null
+++ b/src/main.rs
@@ -0,0 +1,31 @@
+use std::{env, fs, path::PathBuf};
+
+use color_eyre::eyre::Result;
+
+mod gpx;
+mod layer;
+mod renderer;
+
+fn main() -> Result<()> {
+ color_eyre::install()?;
+
+ let gpx_folder = env::args().nth(1).unwrap();
+ println!("Reading from {gpx_folder}");
+
+ let mut tracks = Vec::new();
+ for file in fs::read_dir(gpx_folder).unwrap() {
+ let file = file.unwrap();
+ let data = gpx::extract_from_file(file.path(), gpx::Compression::None).unwrap();
+ tracks.push(data);
+ }
+
+ for zoom in 0..=19 {
+ println!("Doing level {zoom}");
+ let counter = renderer::render_heatcounter(zoom, &tracks);
+ let target = ["tiles", &zoom.to_string()].iter().collect::<PathBuf>();
+ fs::create_dir(&target)?;
+ renderer::lazy_colorization(&counter, &target)?;
+ }
+
+ Ok(())
+}
diff --git a/src/renderer.rs b/src/renderer.rs
new file mode 100644
index 0000000..14dfb6f
--- /dev/null
+++ b/src/renderer.rs
@@ -0,0 +1,189 @@
+use std::{fs, mem, path::Path};
+
+use color_eyre::eyre::{bail, Result};
+use image::{ImageBuffer, Luma, Pixel, Rgba, RgbaImage};
+use nalgebra::{vector, Vector2};
+use num_traits::identities::Zero;
+
+use super::{
+ gpx::Coordinates,
+ layer::{self, TileLayer},
+};
+
+pub type HeatCounter = TileLayer<Luma<u32>>;
+
+pub type HeatMap = TileLayer<Rgba<u8>>;
+
+/// Returns (a - b)**2, but ensures that no underflow happens (if b > a).
+fn diff_squared(a: u64, b: u64) -> u64 {
+ if a > b {
+ (a - b).pow(2)
+ } else {
+ (b - a).pow(2)
+ }
+}
+
+fn render_circle<P: Pixel>(layer: &mut TileLayer<P>, center: (u64, u64), radius: u64, pixel: P) {
+ let x_lower = center.0.saturating_sub(radius);
+ let x_upper = (layer.width() - 1).min(center.0 + radius);
+ let y_lower = center.1.saturating_sub(radius);
+ let y_upper = (layer.height() - 1).min(center.1 + radius);
+
+ for x in x_lower..=x_upper {
+ for y in y_lower..=y_upper {
+ if diff_squared(center.0, x) + diff_squared(center.1, y) <= radius * radius {
+ *layer.get_pixel_mut(x, y) = pixel;
+ }
+ }
+ }
+}
+
+fn render_line<P: Pixel>(
+ layer: &mut TileLayer<P>,
+ start: (u64, u64),
+ end: (u64, u64),
+ thickness: u64,
+ pixel: P,
+) {
+ use imageproc::point::Point;
+
+ if start == end {
+ return;
+ }
+
+ fn unsigned_add(a: Vector2<u64>, b: Vector2<i32>) -> Vector2<u64> {
+ let x = if b[0] < 0 {
+ a[0] - b[0].abs() as u64
+ } else {
+ a[0] + b[0] as u64
+ };
+ let y = if b[1] < 0 {
+ a[1] - b[0].abs() as u64
+ } else {
+ a[1] + b[1] as u64
+ };
+ vector![x, y]
+ }
+
+ let r = vector![end.0 as f64, end.1 as f64] - vector![start.0 as f64, start.1 as f64];
+ let r = r.normalize();
+ let normal = vector![r[1], -r[0]];
+
+ let start = vector![start.0, start.1];
+ let end = vector![end.0, end.1];
+
+ let displacement = normal * thickness as f64;
+ let displacement = displacement.map(|x| x as i32);
+ let polygon = [
+ unsigned_add(start, displacement),
+ unsigned_add(end, displacement),
+ unsigned_add(end, -displacement),
+ unsigned_add(start, -displacement),
+ ];
+ let min_x = polygon.iter().map(|p| p[0]).min().unwrap();
+ let min_y = polygon.iter().map(|p| p[1]).min().unwrap();
+ let max_x = polygon.iter().map(|p| p[0]).max().unwrap();
+ let max_y = polygon.iter().map(|p| p[1]).max().unwrap();
+
+ let mut overlay = ImageBuffer::<P, Vec<P::Subpixel>>::new(
+ (max_x - min_x).try_into().unwrap(),
+ (max_y - min_y).try_into().unwrap(),
+ );
+ let adjusted_poly = polygon
+ .into_iter()
+ .map(|p| Point::new((p[0] - min_x) as i32, (p[1] - min_y) as i32))
+ .collect::<Vec<_>>();
+ imageproc::drawing::draw_polygon_mut(&mut overlay, &adjusted_poly, pixel);
+
+ for (x, y, pixel) in overlay.enumerate_pixels() {
+ if pixel.channels()[0] > Zero::zero() {
+ *layer.get_pixel_mut(u64::from(x) + min_x, u64::from(y) + min_y) = *pixel;
+ }
+ }
+}
+
+fn merge_heat_counter(base: &mut HeatCounter, overlay: &HeatCounter) {
+ for (x, y, source) in overlay.enumerate_pixels() {
+ let target = base.get_pixel_mut(x, y);
+ target[0] += source[0];
+ }
+}
+
+fn colorize_tile(tile: &ImageBuffer<Luma<u32>, Vec<u32>>, max: u32) -> RgbaImage {
+ let gradient = colorgrad::turbo();
+ let mut result = ImageBuffer::from_pixel(tile.width(), tile.height(), [0, 0, 0, 0].into());
+ for (x, y, pixel) in tile.enumerate_pixels() {
+ if pixel[0] > 0 {
+ let alpha = pixel[0] as f64 / max as f64;
+ let color = gradient.at(alpha);
+ let target = result.get_pixel_mut(x, y);
+ *target = color.to_rgba8().into();
+ }
+ }
+ result
+}
+
+pub fn colorize_heatcounter(layer: &HeatCounter) -> HeatMap {
+ let max = layer.pixels().map(|l| l.0[0]).max().unwrap_or_default();
+ let mut result = TileLayer::from_pixel(layer.width(), layer.height(), [0, 0, 0, 0].into());
+ if max == 0 {
+ return result;
+ }
+ for (tile_x, tile_y, tile) in layer.enumerate_tiles() {
+ let colorized = colorize_tile(&tile, max);
+ *result.tile_mut(tile_x, tile_y) = colorized;
+ }
+ result
+}
+
+/// Lazily colorizes a [`HeatCounter`] by colorizing it tile-by-tile and saving a tile before
+/// rendering the next one.
+///
+/// This has a way lower memory usage than [`colorize_heatcounter`].
+pub fn lazy_colorization<P: AsRef<Path>>(layer: &HeatCounter, base_dir: P) -> Result<()> {
+ let base_dir = base_dir.as_ref();
+ let max = layer.pixels().map(|l| l.0[0]).max().unwrap_or_default();
+ if max == 0 {
+ return Ok(());
+ }
+ for (tile_x, tile_y, tile) in layer.enumerate_tiles() {
+ let colorized = colorize_tile(&tile, max);
+ let folder = base_dir.join(&tile_x.to_string());
+ let metadata = folder.metadata();
+ match metadata {
+ Err(_) => fs::create_dir(&folder)?,
+ Ok(m) if !m.is_dir() => bail!("Output path is not a directory"),
+ _ => {}
+ }
+ let file = folder.join(&format!("{tile_y}.png"));
+ layer::compress_png(&colorized, file)?;
+ }
+ Ok(())
+}
+
+/// Renders the heat counter for the given zoom level and track points.
+pub fn render_heatcounter(zoom: u32, tracks: &[Vec<Coordinates>]) -> HeatCounter {
+ let size = 256 * 2u64.pow(zoom);
+
+ let mut heatcounter = TileLayer::from_pixel(size, size, [0].into());
+
+ for track in tracks {
+ let mut layer = TileLayer::from_pixel(size, size, [0].into());
+
+ let points = track
+ .iter()
+ .map(|coords| coords.web_mercator(zoom))
+ .collect::<Vec<_>>();
+
+ for point in points.iter() {
+ render_circle(&mut layer, *point, 10, [1].into());
+ }
+
+ for (a, b) in points.iter().zip(points.iter().skip(1)) {
+ render_line(&mut layer, *a, *b, 10, [1].into());
+ }
+
+ merge_heat_counter(&mut heatcounter, &layer);
+ }
+ heatcounter
+}