// SPDX-FileCopyrightText: 2024 Topola contributors // // SPDX-License-Identifier: MIT use std::f64::consts::TAU; use enum_dispatch::enum_dispatch; use geo::algorithm::line_measures::{Distance, Euclidean}; use geo::{point, polygon, Contains, Intersects, Point, Polygon, Rotate}; use rstar::{RTreeObject, AABB}; use crate::{ geometry::shape::{AccessShape, MeasureLength}, math::{self, Circle}, }; #[enum_dispatch] pub trait AccessPrimitiveShape: AccessShape { fn priority(&self) -> usize; fn inflate(&self, margin: f64) -> PrimitiveShape; fn intersects(&self, other: &PrimitiveShape) -> bool; fn width(&self) -> f64; fn envelope_3d(&self, margin: f64, layer: usize) -> AABB<[f64; 3]> { let envelope = self.bbox(margin); AABB::from_corners( [envelope.lower()[0], envelope.lower()[1], layer as f64], [envelope.upper()[0], envelope.upper()[1], layer as f64], ) } fn full_height_envelope_3d(&self, margin: f64, layer_count: usize) -> AABB<[f64; 3]> { let envelope = self.bbox(margin); AABB::from_corners( [envelope.lower()[0], envelope.lower()[1], 0.0], [ envelope.upper()[0], envelope.upper()[1], (layer_count - 1) as f64, ], ) } } #[enum_dispatch(MeasureLength, AccessShape, AccessPrimitiveShape)] #[derive(Debug, Clone, Copy, PartialEq)] pub enum PrimitiveShape { // Intentionally in different order to reorder `self.intersects(...)` properly. Dot(DotShape), Seg(SegShape), Bend(BendShape), } #[derive(Debug, Clone, Copy, PartialEq)] pub struct DotShape { pub circle: Circle, } impl MeasureLength for DotShape { fn length(&self) -> f64 { 0.0 } } impl AccessShape for DotShape { fn center(&self) -> Point { self.circle.pos } fn contains_point(&self, p: Point) -> bool { Euclidean::distance(&p, &self.circle.pos) <= self.circle.r } fn bbox_without_margin(&self) -> AABB<[f64; 2]> { self.circle.bbox(0.0) } } impl AccessPrimitiveShape for DotShape { fn priority(&self) -> usize { 3 } fn inflate(&self, margin: f64) -> PrimitiveShape { PrimitiveShape::Dot(DotShape { circle: Circle { pos: self.circle.pos, r: self.circle.r + margin, }, }) } fn intersects(&self, other: &PrimitiveShape) -> bool { if self.priority() < other.priority() { return other.intersects(&PrimitiveShape::from(*self)); } match other { PrimitiveShape::Dot(other) => { Euclidean::distance(&self.circle.pos, &other.circle.pos) < self.circle.r + other.circle.r } PrimitiveShape::Seg(other) => { Euclidean::distance(&self.circle.pos, &other.polygon()) < self.circle.r } PrimitiveShape::Bend(other) => { for point in math::intersect_circles(&self.circle, &other.inner_circle()) { if other.between_ends(point) { return true; } } for point in math::intersect_circles(&self.circle, &other.outer_circle()) { if other.between_ends(point) { return true; } } false } } } fn width(&self) -> f64 { self.circle.r * 2.0 } } #[derive(Debug, Clone, Copy, PartialEq)] pub struct SegShape { pub from: Point, pub to: Point, pub width: f64, } impl SegShape { fn polygon(&self) -> Polygon { let tangent_vector = self.to - self.from; let tangent_vector_norm = Euclidean::distance(&tangent_vector, &point! {x: 0.0, y: 0.0}); let unit_tangent_vector = tangent_vector / tangent_vector_norm; let normal = unit_tangent_vector.rotate_around_point(-90., point! {x: 0.0, y: 0.0}); let p1 = self.from - normal * (self.width / 2.); let p2 = self.from + normal * (self.width / 2.); let p3 = self.to + normal * (self.width / 2.); let p4 = self.to - normal * (self.width / 2.); polygon![p1.0, p2.0, p3.0, p4.0] } } impl MeasureLength for SegShape { fn length(&self) -> f64 { Euclidean::distance(&self.to, &self.from) } } impl AccessShape for SegShape { fn center(&self) -> Point { (self.from + self.to) / 2.0 } fn contains_point(&self, p: Point) -> bool { self.polygon().contains(&p) } fn bbox_without_margin(&self) -> AABB<[f64; 2]> { self.polygon().bbox_without_margin() } } impl AccessPrimitiveShape for SegShape { fn priority(&self) -> usize { 2 } fn inflate(&self, margin: f64) -> PrimitiveShape { PrimitiveShape::Seg(SegShape { from: self.from, to: self.to, width: self.width + 2.0 * margin, }) } fn intersects(&self, other: &PrimitiveShape) -> bool { if self.priority() < other.priority() { return other.intersects(&PrimitiveShape::from(*self)); } match other { PrimitiveShape::Dot(..) => unreachable!(), PrimitiveShape::Seg(other) => self.polygon().intersects(&other.polygon()), PrimitiveShape::Bend(other) => { for segment in self.polygon().exterior().lines() { let inner_circle = other.inner_circle(); let outer_circle = other.outer_circle(); for point in math::intersect_circle_segment(&inner_circle, &segment) { if other.between_ends(point) { return true; } } for point in math::intersect_circle_segment(&outer_circle, &segment) { if other.between_ends(point) { return true; } } } false } } } fn width(&self) -> f64 { self.width } } #[derive(Debug, Clone, Copy, PartialEq)] pub struct BendShape { pub from: Point, pub to: Point, pub inner_circle: Circle, pub width: f64, } impl BendShape { pub fn radius(&self) -> f64 { self.inner_circle.r + self.width / 2.0 } pub fn inner_circle(&self) -> Circle { self.inner_circle } pub fn circle(&self) -> Circle { Circle { pos: self.inner_circle.pos, r: self.radius(), } } pub fn outer_circle(&self) -> Circle { Circle { pos: self.inner_circle.pos, r: self.inner_circle.r + self.width, } } pub fn between_ends(&self, point: Point) -> bool { math::between_vectors( point - self.inner_circle.pos, self.from - self.inner_circle.pos, self.to - self.inner_circle.pos, ) } pub fn start_angle(&self) -> f64 { let r = self.from - self.inner_circle.pos; math::vector_angle(r) } pub fn spanned_angle(&self) -> f64 { let r1 = self.from - self.inner_circle.pos; let r2 = self.to - self.inner_circle.pos; // bends always go counterclockwise from `from` to `to` // (this is the usual convention, no adjustment needed) let angle = math::angle_between(r1, r2); // atan2 returns values normalized into the range (-pi, pi] // so for angles below 0 we add 1 winding to get a nonnegative angle if angle < 0.0 { angle + TAU } else { angle } } /// Render this bend as a list of points on its circle. pub fn render_discretization(&self, point_count: usize) -> impl Iterator + '_ { let circle = self.circle(); let angle_from = self.start_angle(); // we need to use one less than the whole point count // because we need to also emit the end-point let angle_step = self.spanned_angle() / ((point_count - 1) as f64); (0..point_count).map(move |i| circle.position_at_angle(angle_from + i as f64 * angle_step)) } } impl MeasureLength for BendShape { fn length(&self) -> f64 { self.spanned_angle() * self.radius() } } impl AccessShape for BendShape { fn center(&self) -> Point { let sum = (self.from - self.inner_circle.pos) + (self.to - self.inner_circle.pos); self.inner_circle.pos + (sum / Euclidean::distance(&sum, &geo::point! { x: 0.0, y: 0.0 })) * self.inner_circle.r } fn contains_point(&self, p: Point) -> bool { let d = Euclidean::distance(&p, &self.inner_circle.pos); self.between_ends(p) && d >= self.inner_circle().r && d <= self.outer_circle().r } fn bbox_without_margin(&self) -> AABB<[f64; 2]> { self.inner_circle.bbox(self.width) } } impl AccessPrimitiveShape for BendShape { fn priority(&self) -> usize { 1 } fn inflate(&self, margin: f64) -> PrimitiveShape { PrimitiveShape::Bend(BendShape { from: self.from, // TODO: Is not inflated for now. to: self.to, // TODO: Is not inflated for now. inner_circle: Circle { pos: self.inner_circle.pos, r: self.inner_circle.r - margin, }, width: self.width + 2.0 * margin, }) } fn intersects(&self, other: &PrimitiveShape) -> bool { if self.priority() < other.priority() { return other.intersects(&PrimitiveShape::from(*self)); } match other { PrimitiveShape::Dot(..) | PrimitiveShape::Seg(..) => unreachable!(), PrimitiveShape::Bend(other) => { for point in math::intersect_circles(&self.inner_circle(), &other.inner_circle()) { if self.between_ends(point) && other.between_ends(point) { return true; } } for point in math::intersect_circles(&self.inner_circle(), &other.outer_circle()) { if self.between_ends(point) && other.between_ends(point) { return true; } } for point in math::intersect_circles(&self.outer_circle(), &other.inner_circle()) { if self.between_ends(point) && other.between_ends(point) { return true; } } for point in math::intersect_circles(&self.outer_circle(), &other.outer_circle()) { if self.between_ends(point) && other.between_ends(point) { return true; } } false } } } fn width(&self) -> f64 { self.width } } impl RTreeObject for PrimitiveShape { type Envelope = AABB<[f64; 2]>; fn envelope(&self) -> Self::Envelope { AccessShape::bbox(self, 0.0) } }