Extract CS management into a file
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src/bin/flat/tube/coords.rs
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227
src/bin/flat/tube/coords.rs
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@ -0,0 +1,227 @@
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use glam::{Mat2, Vec2, vec2};
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use crate::riemann::Metric;
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use crate::types::{Location, Ray};
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use super::{Rect, Tube};
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pub trait FlatCoordinateSystem<T> {
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fn flat_to_global(&self, v: T) -> T;
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fn global_to_flat(&self, v: T) -> T;
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}
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pub trait FlatRegion: FlatCoordinateSystem<Vec2> + FlatCoordinateSystem<Ray> + FlatCoordinateSystem<Location> {
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// Измеряет расстояние до выхода за пределы области вдоль луча ray. Луч задаётся в плоской СК.
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fn distance_to_boundary(&self, _ray: Ray) -> Option<f32> { None }
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}
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trait MetricCS: FlatCoordinateSystem<Vec2> {
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fn global_metric(&self) -> &impl Metric;
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fn flat_to_global_tfm_at(&self, pos: Vec2) -> Mat2 {
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self.global_metric().sqrt_at(self.flat_to_global(pos)).inverse().into()
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}
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fn global_to_flat_tfm_at(&self, pos: Vec2) -> Mat2 {
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self.global_metric().sqrt_at(pos).into()
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}
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}
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impl<T: FlatCoordinateSystem<Vec2> + MetricCS> FlatCoordinateSystem<Ray> for T {
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fn flat_to_global(&self, ray: Ray) -> Ray {
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Ray {
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pos: self.flat_to_global(ray.pos),
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dir: self.flat_to_global_tfm_at(ray.pos) * ray.dir,
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}
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}
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fn global_to_flat(&self, ray: Ray) -> Ray {
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Ray {
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pos: self.global_to_flat(ray.pos),
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dir: self.global_to_flat_tfm_at(ray.pos) * ray.dir,
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}
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}
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}
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impl<T: FlatCoordinateSystem<Vec2> + MetricCS> FlatCoordinateSystem<Location> for T {
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fn flat_to_global(&self, loc: Location) -> Location {
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Location {
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pos: self.flat_to_global(loc.pos),
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rot: self.flat_to_global_tfm_at(loc.pos) * loc.rot,
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}
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}
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fn global_to_flat(&self, loc: Location) -> Location {
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Location {
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pos: self.global_to_flat(loc.pos), // в плоской СК для Inner или её продолжении на Outer
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rot: self.global_to_flat_tfm_at(loc.pos) * loc.rot,
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}
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}
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}
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pub struct InnerCS(pub Tube);
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impl MetricCS for InnerCS { fn global_metric(&self) -> &impl Metric { &self.0 } }
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impl FlatCoordinateSystem<Vec2> for InnerCS {
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fn flat_to_global(&self, pos: Vec2) -> Vec2 {
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vec2(pos.x, self.0.y(pos.y))
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}
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// Работает только при |pos.x| ≤ inner_radius или |pos.y| ≥ external_halflength.
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fn global_to_flat(&self, pos: Vec2) -> Vec2 {
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vec2(pos.x, self.0.v(pos.y))
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}
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}
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impl FlatRegion for InnerCS {
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fn distance_to_boundary(&self, ray: Ray) -> Option<f32> {
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Rect { size: vec2(self.0.inner_radius, self.0.internal_halflength) }.trace_out_of(ray)
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}
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}
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pub struct OuterCS(pub Tube);
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impl MetricCS for OuterCS { fn global_metric(&self) -> &impl Metric { &self.0 } }
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impl FlatCoordinateSystem<Vec2> for OuterCS {
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fn flat_to_global(&self, pos: Vec2) -> Vec2 {
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let inner = Rect { size: vec2(self.0.inner_radius + 1.0, self.0.external_halflength) };
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if inner.is_inside(pos) {
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let Vec2 { x, y: v } = pos;
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let y = self.0.y(v - v.signum() * (self.0.external_halflength - self.0.internal_halflength));
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vec2(x, y)
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} else {
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pos
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}
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}
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fn global_to_flat(&self, pos: Vec2) -> Vec2 {
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let inner = Rect { size: vec2(self.0.inner_radius + 1.0, self.0.external_halflength) };
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if inner.is_inside(pos) {
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let Vec2 { x: u, y } = pos; // в основной СК
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let v = self.0.v(y) + y.signum() * (self.0.external_halflength - self.0.internal_halflength);
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vec2(u, v) // в плоском продолжении СК Outer на область Inner
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} else {
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pos
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}
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}
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}
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impl FlatRegion for OuterCS {
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fn distance_to_boundary(&self, ray: Ray) -> Option<f32> {
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Rect { size: vec2(self.0.outer_radius, self.0.external_halflength) }.trace_into(ray)
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}
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}
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#[cfg(test)]
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mod test {
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use approx::{AbsDiffEq, assert_abs_diff_eq};
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use glam::{Mat2, vec2, Vec2};
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use itertools_num::linspace;
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use super::*;
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fn test_flat_region(region: &impl FlatRegion, range_global: (Vec2, Vec2), range_flat: (Vec2, Vec2)) {
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const ε: f32 = 1e-3;
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macro_rules! assert_eq_at {
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($at: expr, $left: expr, $right: expr) => {
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let at = $at;
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let left = $left;
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let right = $right;
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assert!(left.abs_diff_eq(right, ε), "Assertion failed at {at}:\n left: {left} = {}\n right: {right} = {}", stringify!($left), stringify!($right));
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};
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}
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fn check_range(name_a: &str, a: Vec2, range_a: (Vec2, Vec2), name_b: &str, b: Vec2, range_b: (Vec2, Vec2)) {
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assert!(b.cmpge(range_b.0 - ε).all() && b.cmple(range_b.1 + ε).all(), "Assertion failed:\nAt {name_a}: {a}, from range: {range_a:?}\nGot {name_b}: {b}, which is out of range {range_b:?}");
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// TODO sort out when to check these conditions:
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if a.x.abs_diff_eq(&range_a.0.x, ε) { assert_abs_diff_eq!(b.x, range_b.0.x, epsilon=ε); }
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if a.y.abs_diff_eq(&range_a.0.y, ε) { assert_abs_diff_eq!(b.y, range_b.0.y, epsilon=ε); }
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if a.x.abs_diff_eq(&range_a.1.x, ε) { assert_abs_diff_eq!(b.x, range_b.1.x, epsilon=ε); }
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if a.y.abs_diff_eq(&range_a.1.y, ε) { assert_abs_diff_eq!(b.y, range_b.1.y, epsilon=ε); }
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}
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for x in linspace(range_global.0.x, range_global.1.x, 20) {
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for y in linspace(range_global.0.y, range_global.1.y, 20) {
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let pos_global = vec2(x, y);
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let pos_flat = region.global_to_flat(pos_global);
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check_range("global", pos_global, range_global, "flat", pos_flat, range_flat);
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assert_eq_at!(pos_global, region.global_to_flat(Location { pos: pos_global, rot: Mat2::IDENTITY }).pos, pos_flat);
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assert_eq_at!(pos_global, region.flat_to_global(pos_flat), pos_global);
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assert_eq_at!(pos_global, region.flat_to_global(region.global_to_flat(Location { pos: pos_global, rot: Mat2::IDENTITY })).rot, Mat2::IDENTITY);
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}
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}
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for x in linspace(range_flat.0.x, range_flat.1.x, 20) {
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for y in linspace(range_flat.0.y, range_flat.1.y, 20) {
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let pos_flat = vec2(x, y);
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let pos_global = region.flat_to_global(pos_flat);
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check_range("flat", pos_flat, range_flat, "global", pos_global, range_global);
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assert_eq_at!(pos_flat, region.flat_to_global(Location { pos: pos_flat, rot: Mat2::IDENTITY }).pos, pos_global);
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assert_eq_at!(pos_flat, region.global_to_flat(pos_global), pos_flat);
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assert_eq_at!(pos_flat, region.global_to_flat(region.flat_to_global(Location { pos: pos_global, rot: Mat2::IDENTITY })).rot, Mat2::IDENTITY);
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}
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}
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}
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#[test]
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fn test_mapper_inner() {
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let mapper = InnerCS(Tube {
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inner_radius: 30.0,
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outer_radius: 50.0,
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internal_halflength: 100.0,
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external_halflength: 300.0,
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});
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test_flat_region(&mapper, (vec2(-30.0, -300.0), vec2(30.0, 300.0)), (vec2(-30.0, -100.0), vec2(30.0, 100.0)));
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test_flat_region(&mapper, (vec2(-60.0, -400.0), vec2(60.0, -300.0)), (vec2(-60.0, -200.0), vec2(60.0, -100.0)));
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test_flat_region(&mapper, (vec2(-60.0, 300.0), vec2(60.0, 400.0)), (vec2(-60.0, 100.0), vec2(60.0, 200.0)));
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}
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#[test]
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fn test_mapper_outer() {
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let mapper = OuterCS(Tube {
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inner_radius: 30.0,
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outer_radius: 50.0,
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internal_halflength: 100.0,
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external_halflength: 300.0,
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});
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// TODO replace 200.20016 with something sane
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test_flat_region(&mapper, (vec2(-30.0, -300.0), vec2(30.0, -1.0)), (vec2(-30.0, -300.0), vec2(30.0, -200.20016)));
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test_flat_region(&mapper, (vec2(-30.0, 1.0), vec2(30.0, 300.0)), (vec2(-30.0, 200.20016), vec2(30.0, 300.0)));
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test_flat_region(&mapper, (vec2(-60.0, -400.0), vec2(60.0, -300.0)), (vec2(-60.0, -400.0), vec2(60.0, -300.0)));
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test_flat_region(&mapper, (vec2(-60.0, 300.0), vec2(60.0, 400.0)), (vec2(-60.0, 300.0), vec2(60.0, 400.0)));
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// straight
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for x in linspace(-60., 60., 20) {
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for y in linspace(-320., 320., 20) {
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assert_eq!(mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.x, x);
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}
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}
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// symmetrical
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for x in linspace(0., 60., 20) {
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for y in linspace(0., 320., 20) {
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let pp = mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos;
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let np = mapper.global_to_flat(Location { pos: vec2(-x, y), rot: Mat2::IDENTITY }).pos;
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let pn = mapper.global_to_flat(Location { pos: vec2(x, -y), rot: Mat2::IDENTITY }).pos;
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let nn = mapper.global_to_flat(Location { pos: vec2(-x, -y), rot: Mat2::IDENTITY }).pos;
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assert_eq!(np, vec2(-pp.x, pp.y));
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assert_eq!(pn, vec2(pp.x, -pp.y));
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assert_eq!(nn, vec2(-pp.x, -pp.y));
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}
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}
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// clean boundary
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for x in linspace(50., 60., 20) {
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for y in linspace(0., 320., 20) {
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assert_eq!(mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.y, y);
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}
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}
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for x in linspace(0., 60., 20) {
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for y in linspace(300., 320., 20) {
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assert_eq!(mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.y, y);
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}
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}
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// accelerating
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for x in linspace(-29., 29., 20) {
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for y in linspace(1., 299., 20) {
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let v = mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.y;
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assert!(v > 200.0);
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assert!(v > y);
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}
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}
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}
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}
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@ -9,6 +9,7 @@ use crate::tube::coords::FlatRegion;
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use crate::types::{FlatTraceResult, Hit, Location, Object, Ray};
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pub mod metric;
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mod coords;
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pub struct Space {
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pub tube: Tube,
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@ -184,233 +185,3 @@ fn test_rect() {
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assert_eq!(r.trace_out_of(Ray { pos: vec2(1.0, 1.0), dir: vec2(0.0, -1.0) }), Some(4.0));
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assert_eq!(r.trace_out_of(Ray { pos: vec2(2.0, 3.0), dir: vec2(1.0, 1.0) }), Some(0.0));
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}
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mod coords {
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use glam::{Mat2, Vec2, vec2};
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use crate::riemann::Metric;
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use crate::types::{Location, Ray};
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use super::{Rect, Tube};
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pub trait FlatCoordinateSystem<T> {
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fn flat_to_global(&self, v: T) -> T;
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fn global_to_flat(&self, v: T) -> T;
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}
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pub trait FlatRegion: FlatCoordinateSystem<Vec2> + FlatCoordinateSystem<Ray> + FlatCoordinateSystem<Location> {
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// Измеряет расстояние до выхода за пределы области вдоль луча ray. Луч задаётся в плоской СК.
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fn distance_to_boundary(&self, _ray: Ray) -> Option<f32> { None }
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}
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trait MetricCS: FlatCoordinateSystem<Vec2> {
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fn global_metric(&self) -> &impl Metric;
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fn flat_to_global_tfm_at(&self, pos: Vec2) -> Mat2 {
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self.global_metric().sqrt_at(self.flat_to_global(pos)).inverse().into()
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}
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fn global_to_flat_tfm_at(&self, pos: Vec2) -> Mat2 {
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self.global_metric().sqrt_at(pos).into()
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}
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}
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impl<T: FlatCoordinateSystem<Vec2> + MetricCS> FlatCoordinateSystem<Ray> for T {
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fn flat_to_global(&self, ray: Ray) -> Ray {
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Ray {
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pos: self.flat_to_global(ray.pos),
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dir: self.flat_to_global_tfm_at(ray.pos) * ray.dir,
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}
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}
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fn global_to_flat(&self, ray: Ray) -> Ray {
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Ray {
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pos: self.global_to_flat(ray.pos),
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dir: self.global_to_flat_tfm_at(ray.pos) * ray.dir,
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}
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}
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}
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impl<T: FlatCoordinateSystem<Vec2> + MetricCS> FlatCoordinateSystem<Location> for T {
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fn flat_to_global(&self, loc: Location) -> Location {
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Location {
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pos: self.flat_to_global(loc.pos),
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rot: self.flat_to_global_tfm_at(loc.pos) * loc.rot,
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}
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}
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fn global_to_flat(&self, loc: Location) -> Location {
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Location {
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pos: self.global_to_flat(loc.pos), // в плоской СК для Inner или её продолжении на Outer
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rot: self.global_to_flat_tfm_at(loc.pos) * loc.rot,
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}
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}
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}
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pub struct InnerCS(pub Tube);
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impl MetricCS for InnerCS { fn global_metric(&self) -> &impl Metric { &self.0 } }
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impl FlatCoordinateSystem<Vec2> for InnerCS {
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fn flat_to_global(&self, pos: Vec2) -> Vec2 {
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vec2(pos.x, self.0.y(pos.y))
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}
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// Работает только при |pos.x| ≤ inner_radius или |pos.y| ≥ external_halflength.
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fn global_to_flat(&self, pos: Vec2) -> Vec2 {
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vec2(pos.x, self.0.v(pos.y))
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}
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}
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impl FlatRegion for InnerCS {
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fn distance_to_boundary(&self, ray: Ray) -> Option<f32> {
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Rect { size: vec2(self.0.inner_radius, self.0.internal_halflength) }.trace_out_of(ray)
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}
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}
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pub struct OuterCS(pub Tube);
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impl MetricCS for OuterCS { fn global_metric(&self) -> &impl Metric { &self.0 } }
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impl FlatCoordinateSystem<Vec2> for OuterCS {
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fn flat_to_global(&self, pos: Vec2) -> Vec2 {
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let inner = Rect { size: vec2(self.0.inner_radius + 1.0, self.0.external_halflength) };
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if inner.is_inside(pos) {
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let Vec2 { x, y: v } = pos;
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let y = self.0.y(v - v.signum() * (self.0.external_halflength - self.0.internal_halflength));
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vec2(x, y)
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} else {
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pos
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}
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}
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fn global_to_flat(&self, pos: Vec2) -> Vec2 {
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let inner = Rect { size: vec2(self.0.inner_radius + 1.0, self.0.external_halflength) };
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if inner.is_inside(pos) {
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let Vec2 { x: u, y } = pos; // в основной СК
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let v = self.0.v(y) + y.signum() * (self.0.external_halflength - self.0.internal_halflength);
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vec2(u, v) // в плоском продолжении СК Outer на область Inner
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} else {
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pos
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}
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}
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}
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impl FlatRegion for OuterCS {
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fn distance_to_boundary(&self, ray: Ray) -> Option<f32> {
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Rect { size: vec2(self.0.outer_radius, self.0.external_halflength) }.trace_into(ray)
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}
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}
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#[cfg(test)]
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mod test {
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use approx::{AbsDiffEq, assert_abs_diff_eq};
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use glam::{Mat2, vec2, Vec2};
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use itertools_num::linspace;
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use super::*;
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fn test_flat_region(region: &impl FlatRegion, range_global: (Vec2, Vec2), range_flat: (Vec2, Vec2)) {
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const ε: f32 = 1e-3;
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macro_rules! assert_eq_at {
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($at: expr, $left: expr, $right: expr) => {
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let at = $at;
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let left = $left;
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let right = $right;
|
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assert!(left.abs_diff_eq(right, ε), "Assertion failed at {at}:\n left: {left} = {}\n right: {right} = {}", stringify!($left), stringify!($right));
|
||||
};
|
||||
}
|
||||
fn check_range(name_a: &str, a: Vec2, range_a: (Vec2, Vec2), name_b: &str, b: Vec2, range_b: (Vec2, Vec2)) {
|
||||
assert!(b.cmpge(range_b.0 - ε).all() && b.cmple(range_b.1 + ε).all(), "Assertion failed:\nAt {name_a}: {a}, from range: {range_a:?}\nGot {name_b}: {b}, which is out of range {range_b:?}");
|
||||
// TODO sort out when to check these conditions:
|
||||
if a.x.abs_diff_eq(&range_a.0.x, ε) { assert_abs_diff_eq!(b.x, range_b.0.x, epsilon=ε); }
|
||||
if a.y.abs_diff_eq(&range_a.0.y, ε) { assert_abs_diff_eq!(b.y, range_b.0.y, epsilon=ε); }
|
||||
if a.x.abs_diff_eq(&range_a.1.x, ε) { assert_abs_diff_eq!(b.x, range_b.1.x, epsilon=ε); }
|
||||
if a.y.abs_diff_eq(&range_a.1.y, ε) { assert_abs_diff_eq!(b.y, range_b.1.y, epsilon=ε); }
|
||||
}
|
||||
for x in linspace(range_global.0.x, range_global.1.x, 20) {
|
||||
for y in linspace(range_global.0.y, range_global.1.y, 20) {
|
||||
let pos_global = vec2(x, y);
|
||||
let pos_flat = region.global_to_flat(pos_global);
|
||||
check_range("global", pos_global, range_global, "flat", pos_flat, range_flat);
|
||||
assert_eq_at!(pos_global, region.global_to_flat(Location { pos: pos_global, rot: Mat2::IDENTITY }).pos, pos_flat);
|
||||
assert_eq_at!(pos_global, region.flat_to_global(pos_flat), pos_global);
|
||||
assert_eq_at!(pos_global, region.flat_to_global(region.global_to_flat(Location { pos: pos_global, rot: Mat2::IDENTITY })).rot, Mat2::IDENTITY);
|
||||
}
|
||||
}
|
||||
for x in linspace(range_flat.0.x, range_flat.1.x, 20) {
|
||||
for y in linspace(range_flat.0.y, range_flat.1.y, 20) {
|
||||
let pos_flat = vec2(x, y);
|
||||
let pos_global = region.flat_to_global(pos_flat);
|
||||
check_range("flat", pos_flat, range_flat, "global", pos_global, range_global);
|
||||
assert_eq_at!(pos_flat, region.flat_to_global(Location { pos: pos_flat, rot: Mat2::IDENTITY }).pos, pos_global);
|
||||
assert_eq_at!(pos_flat, region.global_to_flat(pos_global), pos_flat);
|
||||
assert_eq_at!(pos_flat, region.global_to_flat(region.flat_to_global(Location { pos: pos_global, rot: Mat2::IDENTITY })).rot, Mat2::IDENTITY);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_mapper_inner() {
|
||||
let mapper = InnerCS(Tube {
|
||||
inner_radius: 30.0,
|
||||
outer_radius: 50.0,
|
||||
internal_halflength: 100.0,
|
||||
external_halflength: 300.0,
|
||||
});
|
||||
test_flat_region(&mapper, (vec2(-30.0, -300.0), vec2(30.0, 300.0)), (vec2(-30.0, -100.0), vec2(30.0, 100.0)));
|
||||
test_flat_region(&mapper, (vec2(-60.0, -400.0), vec2(60.0, -300.0)), (vec2(-60.0, -200.0), vec2(60.0, -100.0)));
|
||||
test_flat_region(&mapper, (vec2(-60.0, 300.0), vec2(60.0, 400.0)), (vec2(-60.0, 100.0), vec2(60.0, 200.0)));
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_mapper_outer() {
|
||||
let mapper = OuterCS(Tube {
|
||||
inner_radius: 30.0,
|
||||
outer_radius: 50.0,
|
||||
internal_halflength: 100.0,
|
||||
external_halflength: 300.0,
|
||||
});
|
||||
// TODO replace 200.20016 with something sane
|
||||
test_flat_region(&mapper, (vec2(-30.0, -300.0), vec2(30.0, -1.0)), (vec2(-30.0, -300.0), vec2(30.0, -200.20016)));
|
||||
test_flat_region(&mapper, (vec2(-30.0, 1.0), vec2(30.0, 300.0)), (vec2(-30.0, 200.20016), vec2(30.0, 300.0)));
|
||||
test_flat_region(&mapper, (vec2(-60.0, -400.0), vec2(60.0, -300.0)), (vec2(-60.0, -400.0), vec2(60.0, -300.0)));
|
||||
test_flat_region(&mapper, (vec2(-60.0, 300.0), vec2(60.0, 400.0)), (vec2(-60.0, 300.0), vec2(60.0, 400.0)));
|
||||
// straight
|
||||
for x in linspace(-60., 60., 20) {
|
||||
for y in linspace(-320., 320., 20) {
|
||||
assert_eq!(mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.x, x);
|
||||
}
|
||||
}
|
||||
// symmetrical
|
||||
for x in linspace(0., 60., 20) {
|
||||
for y in linspace(0., 320., 20) {
|
||||
let pp = mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos;
|
||||
let np = mapper.global_to_flat(Location { pos: vec2(-x, y), rot: Mat2::IDENTITY }).pos;
|
||||
let pn = mapper.global_to_flat(Location { pos: vec2(x, -y), rot: Mat2::IDENTITY }).pos;
|
||||
let nn = mapper.global_to_flat(Location { pos: vec2(-x, -y), rot: Mat2::IDENTITY }).pos;
|
||||
assert_eq!(np, vec2(-pp.x, pp.y));
|
||||
assert_eq!(pn, vec2(pp.x, -pp.y));
|
||||
assert_eq!(nn, vec2(-pp.x, -pp.y));
|
||||
}
|
||||
}
|
||||
// clean boundary
|
||||
for x in linspace(50., 60., 20) {
|
||||
for y in linspace(0., 320., 20) {
|
||||
assert_eq!(mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.y, y);
|
||||
}
|
||||
}
|
||||
for x in linspace(0., 60., 20) {
|
||||
for y in linspace(300., 320., 20) {
|
||||
assert_eq!(mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.y, y);
|
||||
}
|
||||
}
|
||||
// accelerating
|
||||
for x in linspace(-29., 29., 20) {
|
||||
for y in linspace(1., 299., 20) {
|
||||
let v = mapper.global_to_flat(Location { pos: vec2(x, y), rot: Mat2::IDENTITY }).pos.y;
|
||||
assert!(v > 200.0);
|
||||
assert!(v > y);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue
Block a user