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feat(core): implement 3D grid generation #256

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281 changes: 281 additions & 0 deletions honeycomb-core/src/cmap/builder/grid.rs
Original file line number Diff line number Diff line change
@@ -1,3 +1,7 @@
use std::usize;

use crate::cmap::{CMap3, VertexIdType};
use crate::geometry::{Vector3, Vertex3};
use crate::prelude::{BuilderError, CMap2, DartIdType, Vector2, Vertex2};
use crate::{attributes::AttrStorageManager, geometry::CoordsFloat};

Expand Down Expand Up @@ -163,6 +167,8 @@ impl<T: CoordsFloat> GridDescriptor<T> {

// --- building routines

// ------ 2D

/// Internal grid-building routine
#[allow(clippy::too_many_lines)]
pub fn build_2d_grid<T: CoordsFloat>(
Expand Down Expand Up @@ -378,3 +384,278 @@ fn generate_tris_beta_values(n_x: usize, n_y: usize) -> impl Iterator<Item = [Da
})
})
}

// ------ 3D

/// Internal grid-building routine
#[allow(clippy::too_many_lines)]
pub fn build_3d_grid<T: CoordsFloat>(
origin: Vertex3<T>,
ns: [usize; 3],
lens: [T; 3],
manager: AttrStorageManager,
) -> CMap3<T> {
let [n_square_x, n_square_y, n_square_z] = ns;
let n_darts = 24 * n_square_x * n_square_y * n_square_z;

let map: CMap3<T> = CMap3::new_with_undefined_attributes(n_darts, manager);

// init beta functions
(1..=n_darts as DartIdType)
.zip(generate_hex_beta_values(ns))
.for_each(|(dart, images)| {
map.set_betas(dart, images);
});

// place vertices
(1..=n_darts as DartIdType)
.filter(|d| *d as VertexIdType == map.vertex_id(*d))
.for_each(|d| {
let v = origin + generate_hex_offset(d, ns, lens);
map.force_write_vertex(d as VertexIdType, v);
});

// check the number of built volumes
// this is set as debug only because the operation cost scales with map size
// this can quickly overshadow the exectime of all previous code
debug_assert_eq!(
map.iter_volumes().count(),
n_square_x * n_square_y * n_square_z
);

map
}

//
// y+
// z+ |
// \ |
// \ |
// \|
// +------x+
//
//
// +------+
// |\ |\
// | \13 \
// | \ 21| \
// |17 +------+
// +- -|- + 9 |
// \ | \ |
// \ |1 5 |
// \| \|
// +------+
//
// down: 1
// sides: 5, 9, 13, 17
// up: 21
//
#[allow(clippy::inline_always, unused)]
#[rustfmt::skip]
#[inline(always)]
fn generate_hex_beta_values(
[n_x, n_y, n_z]: [usize; 3],
) -> impl Iterator<Item = [DartIdType; 4]> {
// this loop hierarchy yields the value in correct order
// left to right first, then bottom to top
(0..n_z).flat_map(move |iz| {
(0..n_y).flat_map(move |iy| {
(0..n_x).flat_map(move |ix| {
let d1 = (1 + 24 * ix + n_x * 24 * iy + n_x * n_y * 24 * iz) as DartIdType;
let ( d2 , d3 , d4 , d5 , d6 , d7 , d8 ,
d9 , d10, d11, d12, d13, d14, d15, d16,
d17, d18, d19, d20, d21, d22, d23, d24,
) = ( d1 + 1 , d1 + 2 , d1 + 3 , d1 + 4 , d1 + 5 , d1 + 6 , d1 + 7 ,
d1 + 8 , d1 + 9 , d1 + 10, d1 + 11, d1 + 12, d1 + 13, d1 + 14, d1 + 15,
d1 + 16, d1 + 17, d1 + 18, d1 + 19, d1 + 20, d1 + 21, d1 + 22, d1 + 23,
);
let noffset_x = 24;
let noffset_y = 24 * n_x as DartIdType;
let noffset_z = 24 * (n_x * n_y ) as DartIdType;

// beta images of the cube (tm)
[
// down (1, y-)
[d4 , d2 , d5 , if iy == 0 { 0 } else { d21 - noffset_y }],
[d1 , d3 , d9 , if iy == 0 { 0 } else { d24 - noffset_y }],
[d2 , d4 , d13, if iy == 0 { 0 } else { d23 - noffset_y }],
[d3 , d1 , d17, if iy == 0 { 0 } else { d22 - noffset_y }],
// side (5 , z-)
[d8 , d6 , d1 , if iz == 0 { 0 } else { d13 - noffset_z }],
[d5 , d7 , d10, if iz == 0 { 0 } else { d16 - noffset_z }],
[d6 , d8 , d21, if iz == 0 { 0 } else { d15 - noffset_z }],
[d7 , d5 , d20, if iz == 0 { 0 } else { d14 - noffset_z }],
// side (9 , x+)
[d12, d10, d2 , if ix == n_x - 1 { 0 } else { d17 - noffset_z }],
[d9 , d11, d6 , if ix == n_x - 1 { 0 } else { d20 - noffset_z }],
[d10, d12, d24, if ix == n_x - 1 { 0 } else { d19 - noffset_z }],
[d11, d9 , d14, if ix == n_x - 1 { 0 } else { d18 - noffset_z }],
// side (13, z+)
[d16, d14, d3 , if iz == n_z - 1 { 0 } else { d5 + noffset_z }],
[d13, d15, d12, if iz == n_z - 1 { 0 } else { d8 + noffset_z }],
[d14, d16, d23, if iz == n_z - 1 { 0 } else { d7 + noffset_z }],
[d15, d13, d18, if iz == n_z - 1 { 0 } else { d6 + noffset_z }],
// side (17, x-)
[d20, d18, d4 , if ix == 0 { 0 } else { d9 + noffset_z }],
[d17, d19, d16, if ix == 0 { 0 } else { d12 + noffset_z }],
[d18, d20, d22, if ix == 0 { 0 } else { d11 + noffset_z }],
[d19, d17, d8 , if ix == 0 { 0 } else { d10 + noffset_z }],
// up (21, y+)
[d24, d22, d7 , if iy == n_y - 1 { 0 } else { d1 + noffset_y }],
[d21, d23, d14, if iy == n_y - 1 { 0 } else { d4 + noffset_y }],
[d22, d24, d15, if iy == n_y - 1 { 0 } else { d3 + noffset_y }],
[d23, d21, d11, if iy == n_y - 1 { 0 } else { d2 + noffset_y }],
]
.into_iter()
})
})
})
}

#[allow(clippy::inline_always, unused)]
#[inline(always)]
fn generate_hex_offset<T: CoordsFloat>(
dart: DartIdType,
[n_x, n_y, _]: [usize; 3],
[lx, ly, lz]: [T; 3],
) -> Vector3<T> {
// d = p + 24*x + 24*NX*y + 24*NX*NY*z
let d = dart as usize;
let dm = d % 24;
let dmm = d % (24 * n_x);
let dmmm = d % (24 * n_x * n_y);
let p = dm;
let x = (dmm - dm) / 24;
let y = (dmmm - dmm) / (24 * n_x);
let z = dmmm / (24 * n_x * n_y);
match p {
// d1 to d24
// y- face
1 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z).unwrap() * lz,
),
2 => Vector3(
T::from(x).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z).unwrap() * lz,
),
3 => Vector3(
T::from(x).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
4 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
// z- face
5 => Vector3(
T::from(x).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z).unwrap() * lz,
),
6 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z).unwrap() * lz,
),
7 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z).unwrap() * lz,
),
8 => Vector3(
T::from(x).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z).unwrap() * lz,
),
// x+ face
9 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z).unwrap() * lz,
),
10 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
11 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
12 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z).unwrap() * lz,
),
// z+ face
13 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
14 => Vector3(
T::from(x).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
15 => Vector3(
T::from(x).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
16 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
// x- face
17 => Vector3(
T::from(x).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
18 => Vector3(
T::from(x).unwrap() * lx,
T::from(y).unwrap() * ly,
T::from(z).unwrap() * lz,
),
19 => Vector3(
T::from(x).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z).unwrap() * lz,
),
20 => Vector3(
T::from(x).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
// y+ face
21 => Vector3(
T::from(x).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z).unwrap() * lz,
),
22 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z).unwrap() * lz,
),
23 => Vector3(
T::from(x + 1).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
0 => Vector3(
T::from(x).unwrap() * lx,
T::from(y + 1).unwrap() * ly,
T::from(z + 1).unwrap() * lz,
),
_ => unreachable!(),
}
}
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