extern crate test; use super::direction::*; use std::{ convert::TryInto, hash::Hash, ops::{Add, Mul, Sub}, }; #[derive(Hash, PartialEq, Eq, Debug, Clone, Copy)] pub struct PositionND { pub points: [i64; DIMS], } pub type Position2D = PositionND<2>; impl From<[I; D]> for PositionND where I: TryInto + Copy { fn from(s: [I; D]) -> Self { let mut points = [0; D]; for i in 0..D { points[i] = s[i].try_into().unwrap_or_else(|_| panic!("number did not fit in target type")) } Self { points } } } pub const fn num_neighbors(d: usize) -> usize { 3usize.pow(d as u32) - 1 } impl PositionND { pub const fn zero() -> Self { PositionND { points: [0; DIMS] } } pub fn from_padded(slice: &[i64]) -> PositionND { let mut points = [0; DIMS]; #[allow(clippy::manual_memcpy)] for i in 0..(DIMS.min(slice.len())) { points[i] = slice[i]; } PositionND { points } } pub fn neighbors(&self) -> [PositionND; num_neighbors(DIMS)] where [PositionND; num_neighbors(DIMS) + 1]: Sized { let ns = neighbor_vectors::(); let mut out = [*self; num_neighbors(DIMS)]; for (out, dir) in out.iter_mut().zip(IntoIterator::into_iter(ns).filter(|n| n != &[0; DIMS])) { *out = *out + PositionND::from(dir); } out } } impl PositionND<2> { pub fn neighbors_no_diagonals_only_positive(&self) -> [PositionND<2>; 2] { let PositionND::<2> { points: [x, y] } = *self; [[x + 1, y].into(), [x, y + 1].into()] } pub fn neighbors_no_diagonals(&self) -> [PositionND<2>; 4] { let PositionND::<2> { points: [x, y] } = *self; [[x + 1, y].into(), [x, y + 1].into(), [x - 1, y].into(), [x, y - 1].into()] } } #[macro_export] macro_rules! dim { ($d: expr) => {{ let mut out = [[0; D]; num_neighbors(D) + 1]; let mut i = 0; for offset in -1..=1 { for inner in neighbor_vectors::<$d>() { out[i][0] = offset; let mut j = 1; for e in inner { out[i][j] = e; j += 1; } i += 1; } } out }}; } fn neighbor_vectors() -> [[i64; D]; num_neighbors(D) + 1] where { // I would love to just call neighbor_vectors::(), but it seems to be impossible to get the // correct constraints for that. match D { 0 => unreachable!(), 1 => { let mut out = [[0; D]; num_neighbors(D) + 1]; out[0] = [-1; D]; out[1] = [0; D]; out[2] = [1; D]; out } 2 => dim!(1), 3 => dim!(2), 4 => dim!(3), 5 => dim!(4), 6 => dim!(5), 7 => dim!(6), // Adding more causes a stackoverflow. How curious. _ => unimplemented!(), } } impl Mul for PositionND { type Output = PositionND; fn mul(mut self, rhs: i64) -> Self::Output { for p in self.points.iter_mut() { *p *= rhs; } self } } impl Add> for PositionND { type Output = PositionND; fn add(mut self, rhs: PositionND) -> Self::Output { for (x, y) in self.points.iter_mut().zip(rhs.points) { *x += y; } self } } impl Sub> for PositionND { type Output = PositionND; fn sub(mut self, rhs: PositionND) -> Self::Output { for (x, y) in self.points.iter_mut().zip(rhs.points) { *x -= y; } self } } impl From for PositionND<2> { fn from(d: Direction) -> Self { match d { Direction::Up => PositionND::from([0, 1]), Direction::Right => PositionND::from([1, 0]), Direction::Left => PositionND::from([-1, 0]), Direction::Down => PositionND::from([0, -1]), } } } #[cfg(test)] mod tests { use super::*; #[test] fn test_neighbors_2d() { let p = PositionND { points: [0, 0] }; let n = p.neighbors(); assert_eq!( n, [ PositionND { points: [-1, -1] }, PositionND { points: [-1, 0] }, PositionND { points: [-1, 1] }, PositionND { points: [0, -1] }, PositionND { points: [0, 1] }, PositionND { points: [1, -1] }, PositionND { points: [1, 0] }, PositionND { points: [1, 1] }, ] ); let p = PositionND { points: [1, 1] }; let n = p.neighbors(); assert_eq!( n, [ PositionND { points: [0, 0] }, PositionND { points: [0, 1] }, PositionND { points: [0, 2] }, PositionND { points: [1, 0] }, PositionND { points: [1, 2] }, PositionND { points: [2, 0] }, PositionND { points: [2, 1] }, PositionND { points: [2, 2] }, ] ) } #[test] fn test_neighbors_3d() { let p = PositionND { points: [0, 0, 0] }; let n = p.neighbors(); assert_eq!( n, [ PositionND { points: [-1, -1, -1] }, PositionND { points: [-1, -1, 0] }, PositionND { points: [-1, -1, 1] }, PositionND { points: [-1, 0, -1] }, PositionND { points: [-1, 0, 0] }, PositionND { points: [-1, 0, 1] }, PositionND { points: [-1, 1, -1] }, PositionND { points: [-1, 1, 0] }, PositionND { points: [-1, 1, 1] }, PositionND { points: [0, -1, -1] }, PositionND { points: [0, -1, 0] }, PositionND { points: [0, -1, 1] }, PositionND { points: [0, 0, -1] }, PositionND { points: [0, 0, 1] }, PositionND { points: [0, 1, -1] }, PositionND { points: [0, 1, 0] }, PositionND { points: [0, 1, 1] }, PositionND { points: [1, -1, -1] }, PositionND { points: [1, -1, 0] }, PositionND { points: [1, -1, 1] }, PositionND { points: [1, 0, -1] }, PositionND { points: [1, 0, 0] }, PositionND { points: [1, 0, 1] }, PositionND { points: [1, 1, -1] }, PositionND { points: [1, 1, 0] }, PositionND { points: [1, 1, 1] }, ] ); } #[test] fn test_neighbor_vectors() { let n = neighbor_vectors::<2>(); assert_eq!(n, [[-1, -1], [-1, 0], [-1, 1], [0, -1], [0, 0], [0, 1], [1, -1], [1, 0], [1, 1],]); } #[bench] fn bench_neighbor_vectors_2d(b: &mut test::Bencher) { b.iter(|| test::black_box(neighbor_vectors::<2>())) } #[bench] fn bench_neighbor_vectors_3d(b: &mut test::Bencher) { b.iter(|| test::black_box(neighbor_vectors::<3>())) } #[bench] fn bench_neighbor_vectors_4d(b: &mut test::Bencher) { b.iter(|| test::black_box(neighbor_vectors::<4>())) } #[bench] fn bench_neighbor_vectors_5d(b: &mut test::Bencher) { b.iter(|| test::black_box(neighbor_vectors::<5>())) } }