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//! This module exports methods to flatten the [`Bvh`] into a [`FlatBvh`] and traverse it iteratively.
use alloc::vec::Vec;
use core::fmt;
use nalgebra::Point;
use num_traits::Float;
use crate::aabb::{Aabb, Bounded, IntersectsAabb};
use crate::bounding_hierarchy::{BHShape, BHValue, BoundingHierarchy};
use crate::bvh::{Bvh, BvhNode};
use crate::point_query::PointDistance;
/// A structure of a node of a flat [`Bvh`]. The structure of the nodes allows for an
/// iterative traversal approach without the necessity to maintain a stack or queue.
///
/// [`Bvh`]: ../bvh/struct.Bvh.html
///
pub struct FlatNode<T: BHValue, const D: usize> {
/// The [`Aabb`] of the [`Bvh`] node. Prior to testing the [`Aabb`] bounds,
/// the `entry_index` must be checked. In case the entry_index is [`u32::MAX`],
/// the [`Aabb`] is undefined.
///
/// [`Aabb`]: ../aabb/struct.Aabb.html
/// [`Bvh`]: ../bvh/struct.Bvh.html
/// [`u32::MAX`]: https://doc.rust-lang.org/std/u32/constant.MAX.html
///
pub aabb: Aabb<T, D>,
/// The index of the `FlatNode` to jump to, if the [`Aabb`] test is positive.
/// If this value is [`u32::MAX`] then the current node is a leaf node.
/// Leaf nodes contain a shape index and an exit index. In leaf nodes the
/// [`Aabb`] is undefined.
///
/// [`Aabb`]: ../aabb/struct.Aabb.html
/// [`u32::MAX`]: https://doc.rust-lang.org/std/u32/constant.MAX.html
///
pub entry_index: u32,
/// The index of the [`FlatNode`] to jump to, if the [`Aabb`] test is negative.
///
/// [`Aabb`]: ../aabb/struct.Aabb.html
///
pub exit_index: u32,
/// The index of the shape in the shapes array.
pub shape_index: u32,
}
impl<T: BHValue, const D: usize> FlatNode<T, D> {
/// Returns whether the node is a leaf node.
#[must_use]
pub fn is_leaf(&self) -> bool {
self.entry_index == u32::MAX
}
}
impl<T: BHValue + Float, const D: usize> BvhNode<T, D> {
/// Creates a flat node from a `Bvh` inner node and its [`Aabb`]. Returns the next free index.
/// TODO: change the algorithm which pushes `FlatNode`s to a vector to not use indices this
/// much. Implement an algorithm which writes directly to a writable slice.
fn create_flat_branch<F, FNodeType>(
&self,
nodes: &[BvhNode<T, D>],
this_aabb: &Aabb<T, D>,
vec: &mut Vec<FNodeType>,
next_free: usize,
constructor: &F,
) -> usize
where
F: Fn(&Aabb<T, D>, u32, u32, u32) -> FNodeType,
{
// Create dummy node.
let dummy = constructor(&Aabb::empty(), 0, 0, 0);
vec.push(dummy);
assert_eq!(vec.len() - 1, next_free);
// Create subtree.
let index_after_subtree = self.flatten_custom(nodes, vec, next_free + 1, constructor);
// Replace dummy node by actual node with the entry index pointing to the subtree
// and the exit index pointing to the next node after the subtree.
let navigator_node = constructor(
this_aabb,
(next_free + 1) as u32,
index_after_subtree as u32,
u32::MAX,
);
vec[next_free] = navigator_node;
index_after_subtree
}
/// Flattens the [`Bvh`], so that it can be traversed in an iterative manner.
/// This method constructs custom flat nodes using the `constructor`.
///
/// [`Bvh`]: ../bvh/struct.Bvh.html
///
pub fn flatten_custom<F, FNodeType>(
&self,
nodes: &[BvhNode<T, D>],
vec: &mut Vec<FNodeType>,
next_free: usize,
constructor: &F,
) -> usize
where
F: Fn(&Aabb<T, D>, u32, u32, u32) -> FNodeType,
{
match *self {
BvhNode::Node {
ref child_l_aabb,
child_l_index,
ref child_r_aabb,
child_r_index,
..
} => {
let index_after_child_l = nodes[child_l_index].create_flat_branch(
nodes,
child_l_aabb,
vec,
next_free,
constructor,
);
nodes[child_r_index].create_flat_branch(
nodes,
child_r_aabb,
vec,
index_after_child_l,
constructor,
)
}
BvhNode::Leaf { shape_index, .. } => {
let mut next_shape = next_free;
next_shape += 1;
let leaf_node = constructor(
&Aabb::empty(),
u32::MAX,
next_shape as u32,
shape_index as u32,
);
vec.push(leaf_node);
next_shape
}
}
}
}
/// A flat [`Bvh`]. Represented by a vector of [`FlatNode`]s. The [`FlatBvh`] is designed for use
/// where a recursive traversal of a data structure is not possible, for example shader programs.
///
/// [`Bvh`]: ../bvh/struct.Bvh.html
/// [`FlatNode`]: struct.FlatNode.html
/// [`FlatBvh`]: struct.FlatBvh.html
///
pub type FlatBvh<T, const D: usize> = Vec<FlatNode<T, D>>;
impl<T: BHValue, const D: usize> Bvh<T, D> {
/// Flattens the [`Bvh`] so that it can be traversed iteratively.
/// Constructs the flat nodes using the supplied function.
/// This function can be used, when the flat bvh nodes should be of some particular
/// non-default structure.
/// The `constructor` is fed the following arguments in this order:
///
/// 1 - &Aabb: The enclosing [`Aabb`]
/// 2 - u32: The index of the nested node
/// 3 - u32: The exit index
/// 4 - u32: The shape index
///
/// [`Bvh`]: ../bvh/struct.Bvh.html
///
/// # Example
///
/// ```
/// use bvh::aabb::{Aabb, Bounded};
/// use bvh::bvh::Bvh;
/// use nalgebra::{Point3, Vector3};
/// use bvh::ray::Ray;
/// # use bvh::bounding_hierarchy::BHShape;
/// # pub struct UnitBox {
/// # pub id: i32,
/// # pub pos: Point3<f32>,
/// # node_index: usize,
/// # }
/// #
/// # impl UnitBox {
/// # pub fn new(id: i32, pos: Point3<f32>) -> UnitBox {
/// # UnitBox {
/// # id: id,
/// # pos: pos,
/// # node_index: 0,
/// # }
/// # }
/// # }
/// #
/// # impl Bounded<f32,3> for UnitBox {
/// # fn aabb(&self) -> Aabb<f32,3> {
/// # let min = self.pos + Vector3::new(-0.5, -0.5, -0.5);
/// # let max = self.pos + Vector3::new(0.5, 0.5, 0.5);
/// # Aabb::with_bounds(min, max)
/// # }
/// # }
/// #
/// # impl BHShape<f32,3> for UnitBox {
/// # fn set_bh_node_index(&mut self, index: usize) {
/// # self.node_index = index;
/// # }
/// #
/// # fn bh_node_index(&self) -> usize {
/// # self.node_index
/// # }
/// # }
/// #
/// # fn create_bhshapes() -> Vec<UnitBox> {
/// # let mut shapes = Vec::new();
/// # for i in 0..1000 {
/// # let position = Point3::new(i as f32, i as f32, i as f32);
/// # shapes.push(UnitBox::new(i, position));
/// # }
/// # shapes
/// # }
///
/// struct CustomStruct {
/// aabb: Aabb<f32,3>,
/// entry_index: u32,
/// exit_index: u32,
/// shape_index: u32,
/// }
///
/// let custom_constructor = |aabb: &Aabb<f32,3>, entry, exit, shape_index| {
/// CustomStruct {
/// aabb: *aabb,
/// entry_index: entry,
/// exit_index: exit,
/// shape_index: shape_index,
/// }
/// };
///
/// let mut shapes = create_bhshapes();
/// let bvh = Bvh::build(&mut shapes);
/// let custom_flat_bvh = bvh.flatten_custom(&custom_constructor);
/// ```
pub fn flatten_custom<F, FNodeType>(&self, constructor: &F) -> Vec<FNodeType>
where
F: Fn(&Aabb<T, D>, u32, u32, u32) -> FNodeType,
{
let mut vec = Vec::new();
if self.nodes.is_empty() {
// There is no node_index=0.
return vec;
}
self.nodes[0].flatten_custom(&self.nodes, &mut vec, 0, constructor);
vec
}
/// Flattens the [`Bvh`] so that it can be traversed iteratively.
///
/// [`Bvh`]: ../bvh/struct.Bvh.html
///
/// # Example
///
/// ```
/// use bvh::aabb::{Aabb, Bounded};
/// use bvh::bvh::Bvh;
/// use nalgebra::{Point3, Vector3};
/// use bvh::ray::Ray;
/// # use bvh::bounding_hierarchy::BHShape;
/// # pub struct UnitBox {
/// # pub id: i32,
/// # pub pos: Point3<f32>,
/// # node_index: usize,
/// # }
/// #
/// # impl UnitBox {
/// # pub fn new(id: i32, pos: Point3<f32>) -> UnitBox {
/// # UnitBox {
/// # id: id,
/// # pos: pos,
/// # node_index: 0,
/// # }
/// # }
/// # }
/// #
/// # impl Bounded<f32,3> for UnitBox {
/// # fn aabb(&self) -> Aabb<f32,3> {
/// # let min = self.pos + Vector3::new(-0.5, -0.5, -0.5);
/// # let max = self.pos + Vector3::new(0.5, 0.5, 0.5);
/// # Aabb::with_bounds(min, max)
/// # }
/// # }
/// #
/// # impl BHShape<f32,3> for UnitBox {
/// # fn set_bh_node_index(&mut self, index: usize) {
/// # self.node_index = index;
/// # }
/// #
/// # fn bh_node_index(&self) -> usize {
/// # self.node_index
/// # }
/// # }
/// #
/// # fn create_bhshapes() -> Vec<UnitBox> {
/// # let mut shapes = Vec::new();
/// # for i in 0..1000 {
/// # let position = Point3::new(i as f32, i as f32, i as f32);
/// # shapes.push(UnitBox::new(i, position));
/// # }
/// # shapes
/// # }
///
/// let mut shapes = create_bhshapes();
/// let bvh = Bvh::build(&mut shapes);
/// let flat_bvh = bvh.flatten();
/// ```
pub fn flatten(&self) -> FlatBvh<T, D> {
self.flatten_custom(&|aabb, entry, exit, shape| FlatNode {
aabb: *aabb,
entry_index: entry,
exit_index: exit,
shape_index: shape,
})
}
}
impl<T: BHValue + fmt::Display, const D: usize> BoundingHierarchy<T, D> for FlatBvh<T, D> {
/// A [`FlatBvh`] is built from a regular [`Bvh`] using the [`Bvh::flatten`] method.
///
/// [`FlatBvh`]: struct.FlatBvh.html
/// [`Bvh`]: ../bvh/struct.Bvh.html
///
fn build<Shape: BHShape<T, D>>(shapes: &mut [Shape]) -> FlatBvh<T, D> {
let bvh = Bvh::build(shapes);
bvh.flatten()
}
/// Traverses a [`FlatBvh`] structure iteratively.
///
/// [`FlatBvh`]: struct.FlatBvh.html
///
/// # Examples
///
/// ```
/// use bvh::aabb::{Aabb, Bounded};
/// use bvh::bounding_hierarchy::BoundingHierarchy;
/// use bvh::flat_bvh::FlatBvh;
/// use nalgebra::{Point3, Vector3};
/// use bvh::ray::Ray;
/// # use bvh::bounding_hierarchy::BHShape;
/// # pub struct UnitBox {
/// # pub id: i32,
/// # pub pos: Point3<f32>,
/// # node_index: usize,
/// # }
/// #
/// # impl UnitBox {
/// # pub fn new(id: i32, pos: Point3<f32>) -> UnitBox {
/// # UnitBox {
/// # id: id,
/// # pos: pos,
/// # node_index: 0,
/// # }
/// # }
/// # }
/// #
/// # impl Bounded<f32,3> for UnitBox {
/// # fn aabb(&self) -> Aabb<f32,3> {
/// # let min = self.pos + Vector3::new(-0.5, -0.5, -0.5);
/// # let max = self.pos + Vector3::new(0.5, 0.5, 0.5);
/// # Aabb::with_bounds(min, max)
/// # }
/// # }
/// #
/// # impl BHShape<f32,3> for UnitBox {
/// # fn set_bh_node_index(&mut self, index: usize) {
/// # self.node_index = index;
/// # }
/// #
/// # fn bh_node_index(&self) -> usize {
/// # self.node_index
/// # }
/// # }
/// #
/// # fn create_bhshapes() -> Vec<UnitBox> {
/// # let mut shapes = Vec::new();
/// # for i in 0..1000 {
/// # let position = Point3::new(i as f32, i as f32, i as f32);
/// # shapes.push(UnitBox::new(i, position));
/// # }
/// # shapes
/// # }
///
/// let origin = Point3::new(0.0,0.0,0.0);
/// let direction = Vector3::new(1.0,0.0,0.0);
/// let ray = Ray::new(origin, direction);
/// let mut shapes = create_bhshapes();
/// let flat_bvh = FlatBvh::build(&mut shapes);
/// let hit_shapes = flat_bvh.traverse(&ray, &shapes);
/// ```
fn traverse<'a, Q: IntersectsAabb<T, D>, B: Bounded<T, D>>(
&'a self,
query: &Q,
shapes: &'a [B],
) -> Vec<&'a B> {
let mut hit_shapes = Vec::new();
let mut index = 0;
// The traversal loop should terminate when `max_length` is set as the next node index.
let max_length = self.len();
// Iterate while the node index is valid.
while index < max_length {
let node = &self[index];
if node.is_leaf() {
let shape = &shapes[node.shape_index as usize];
if query.intersects_aabb(&shape.aabb()) {
hit_shapes.push(shape);
}
// Exit the current node.
index = node.exit_index as usize;
} else if query.intersects_aabb(&node.aabb) {
// If entry_index is not MAX_UINT32 and the Aabb test passes, then
// proceed to the node in entry_index (which goes down the bvh branch).
index = node.entry_index as usize;
} else {
// If entry_index is not MAX_UINT32 and the Aabb test fails, then
// proceed to the node in exit_index (which defines the next untested partition).
index = node.exit_index as usize;
}
}
hit_shapes
}
/// Traverses a [`FlatBvh`] structure iteratively.
/// Returns the nearest shape to the query point and the distance to it.
///
/// Note: the flat bvh is not optimized for nearest queries. It is recommended to use
/// a [`Bvh`] for nearest queries when possible.
/// The flat bvh will still be much faster than a linear search.
///
/// [`FlatBvh`]: struct.FlatBvh.html
///
/// # Examples
///
/// ```
/// use bvh::aabb::{Aabb, Bounded};
/// use bvh::bounding_hierarchy::BoundingHierarchy;
/// use bvh::flat_bvh::FlatBvh;
/// use bvh::point_query::PointDistance;
/// use nalgebra::{Point3, Vector3};
/// use bvh::ray::Ray;
/// # use bvh::bounding_hierarchy::BHShape;
/// # pub struct UnitBox {
/// # pub id: i32,
/// # pub pos: Point3<f32>,
/// # node_index: usize,
/// # }
/// #
/// # impl UnitBox {
/// # pub fn new(id: i32, pos: Point3<f32>) -> UnitBox {
/// # UnitBox {
/// # id: id,
/// # pos: pos,
/// # node_index: 0,
/// # }
/// # }
/// # }
/// #
/// # impl Bounded<f32,3> for UnitBox {
/// # fn aabb(&self) -> Aabb<f32,3> {
/// # let min = self.pos + Vector3::new(-0.5, -0.5, -0.5);
/// # let max = self.pos + Vector3::new(0.5, 0.5, 0.5);
/// # Aabb::with_bounds(min, max)
/// # }
/// # }
/// #
/// # impl BHShape<f32,3> for UnitBox {
/// # fn set_bh_node_index(&mut self, index: usize) {
/// # self.node_index = index;
/// # }
/// #
/// # fn bh_node_index(&self) -> usize {
/// # self.node_index
/// # }
/// # }
/// #
/// # impl PointDistance<f32,3> for UnitBox {
/// # fn distance_squared(&self, query_point: Point3<f32>) -> f32 {
/// # self.aabb().min_distance_squared(query_point)
/// # }
/// # }
/// #
/// # fn create_bhshapes() -> Vec<UnitBox> {
/// # let mut shapes = Vec::new();
/// # for i in 0..1000 {
/// # let position = Point3::new(i as f32, i as f32, i as f32);
/// # shapes.push(UnitBox::new(i, position));
/// # }
/// # shapes
/// # }
///
/// let mut shapes = create_bhshapes();
/// let flat_bvh = FlatBvh::build(&mut shapes);
///
/// let query = Point3::new(5.0, 5.7, 5.3);
/// let nearest_shape = flat_bvh.nearest_to(query, &shapes);
///
/// # assert_eq!(nearest_shape.unwrap().0.id, 5);
/// ```
///
/// [`BoundingHierarchy`]: trait.BoundingHierarchy.html
/// [`Aabb`]: ../aabb/struct.Aabb.html
///
fn nearest_to<'a, Shape: BHShape<T, D> + PointDistance<T, D>>(
&'a self,
query: Point<T, D>,
shapes: &'a [Shape],
) -> Option<(&'a Shape, T)> {
if self.is_empty() {
return None;
}
let mut best_element = None;
let mut index = 0;
// The traversal loop should terminate when `max_length` is set as the next node index.
let max_length = self.len();
// Iterate while the node index is valid.
while index < max_length {
let node = &self[index];
if node.is_leaf() {
let shape = &shapes[node.shape_index as usize];
let dist = shape.distance_squared(query);
// TODO: to be replaced by `Option::is_none_or` after 2025-10 for 1 year MSRV.
#[allow(clippy::unnecessary_map_or)]
if best_element.map_or(true, |(_, best_dist)| dist < best_dist) {
best_element = Some((shape, dist));
}
// Exit the current node.
index = node.exit_index as usize;
} else {
let min_dist = node.aabb.min_distance_squared(query);
// TODO: to be replaced by `Option::is_none_or` after 2025-10 for 1 year MSRV.
#[allow(clippy::unnecessary_map_or)]
if best_element.map_or(true, |(_, best_dist)| min_dist < best_dist) {
// This node needs further traversal.
index = node.entry_index as usize;
} else {
// This node can't contain a candidate shape.
index = node.exit_index as usize;
}
}
}
// Return the best shape and its distance. We had a distance squared previously.
best_element.map(|best| (best.0, best.1.sqrt()))
}
/// Prints a textual representation of a [`FlatBvh`].
///
/// [`FlatBvh`]: struct.FlatBvh.html
///
#[cfg(feature = "std")]
fn pretty_print(&self) {
for (i, node) in self.iter().enumerate() {
std::println!(
"{}\tentry {}\texit {}\tshape {}",
i,
node.entry_index,
node.exit_index,
node.shape_index
);
}
}
fn build_with_executor<
Shape: BHShape<T, D>,
Executor: FnMut(
crate::bvh::BvhNodeBuildArgs<'_, Shape, T, D>,
crate::bvh::BvhNodeBuildArgs<'_, Shape, T, D>,
),
>(
shapes: &mut [Shape],
executor: Executor,
) -> Self {
let bvh = Bvh::build_with_executor(shapes, executor);
bvh.flatten()
}
}
#[cfg(test)]
mod tests {
use crate::testbase::{
TBvh3, TFlatBvh3, build_empty_bh, build_some_bh, nearest_to_some_bh, traverse_some_bh,
};
#[test]
/// Tests whether the building procedure succeeds in not failing.
fn test_build_flat_bvh() {
build_some_bh::<TFlatBvh3>();
}
#[test]
/// Runs some primitive tests for intersections of a ray with a fixed scene given
/// as a `FlatBvh`.
fn test_traverse_flat_bvh() {
traverse_some_bh::<TFlatBvh3>();
}
#[test]
/// Runs some primitive tests for distance query of a point with a fixed scene given as a [`Bvh`].
fn test_nearest_to_flat_bvh() {
nearest_to_some_bh::<TFlatBvh3>();
}
#[test]
fn test_flatten_empty_bvh() {
let (_, bvh) = build_empty_bh::<TBvh3>();
let flat = bvh.flatten();
assert!(flat.is_empty());
}
}
#[cfg(all(feature = "bench", test))]
mod bench {
use crate::testbase::{
TBvh3, TFlatBvh3, build_12k_triangles_bh, build_120k_triangles_bh, build_1200_triangles_bh,
create_n_cubes, default_bounds, intersect_12k_triangles_bh, intersect_120k_triangles_bh,
intersect_1200_triangles_bh, nearest_to_12k_triangles_bh, nearest_to_120k_triangles_bh,
nearest_to_1200_triangles_bh,
};
#[bench]
/// Benchmark the flattening of a [`Bvh`] with 120,000 triangles.
fn bench_flatten_120k_triangles_bvh(b: &mut ::test::Bencher) {
let bounds = default_bounds();
let mut triangles = create_n_cubes(10_000, &bounds);
let bvh = TBvh3::build(&mut triangles);
b.iter(|| {
bvh.flatten();
});
}
#[bench]
/// Benchmark the construction of a [`FlatBvh`] with 1,200 triangles.
fn bench_build_1200_triangles_flat_bvh(b: &mut ::test::Bencher) {
build_1200_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark the construction of a [`FlatBvh`] with 12,000 triangles.
fn bench_build_12k_triangles_flat_bvh(b: &mut ::test::Bencher) {
build_12k_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark the construction of a [`FlatBvh`] with 120,000 triangles.
fn bench_build_120k_triangles_flat_bvh(b: &mut ::test::Bencher) {
build_120k_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark intersecting 1,200 triangles using the recursive [`FlatBvh`].
fn bench_intersect_1200_triangles_flat_bvh(b: &mut ::test::Bencher) {
intersect_1200_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark intersecting 12,000 triangles using the recursive [`FlatBvh`].
fn bench_intersect_12k_triangles_flat_bvh(b: &mut ::test::Bencher) {
intersect_12k_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark intersecting 120,000 triangles using the recursive [`FlatBvh`].
fn bench_intersect_120k_triangles_flat_bvh(b: &mut ::test::Bencher) {
intersect_120k_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark nearest_to on 1,200 triangles using the recursive [`FlatBvh`].
fn bench_nearest_to_1200_triangles_bvh(b: &mut ::test::Bencher) {
nearest_to_1200_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark nearest_to on 12,000 triangles using the recursive [`FlatBvh`].
fn bench_nearest_to_12k_triangles_bvh(b: &mut ::test::Bencher) {
nearest_to_12k_triangles_bh::<TFlatBvh3>(b);
}
#[bench]
/// Benchmark nearest_to on 120,000 triangles using the recursive [`FlatBvh`].
fn bench_nearest_to_120k_triangles_bvh(b: &mut ::test::Bencher) {
nearest_to_120k_triangles_bh::<TFlatBvh3>(b);
}
}