use crate::distances::Distances; #[derive(Debug, Clone, Copy, PartialEq, Eq, Default, Hash)] pub struct Point { pub x: isize, pub y: isize, } impl Point { /// converts a point (representing a point on a 4 quadrant grid with positive xy in the /// top-right) into a upoint (representing a point on a 1 quadrant grid with the origin in the /// top-left corner). Returns none if the resulting point would have either number negative. pub fn to_upoint(self, zero_coord: &UPoint) -> Option { Some(UPoint { x: zero_coord.x.checked_add_signed(self.x)?, y: zero_coord.y.checked_add_signed(-self.y)?, }) } } impl Distances for Point { fn taxicab_distance(&self, other: &Self) -> usize { self.x.abs_diff(other.x) + self.y.abs_diff(other.y) } } impl std::ops::Add for Point { type Output = Point; fn add(self, rhs: Self) -> Self::Output { Self { x: self.x + rhs.x, y: self.y + rhs.y, } } } impl std::ops::AddAssign for Point { fn add_assign(&mut self, rhs: Self) { *self = *self + rhs } } impl std::ops::Sub for Point { type Output = Point; fn sub(self, rhs: Self) -> Self::Output { Self { x: self.x - rhs.x, y: self.y - rhs.y, } } } impl std::ops::SubAssign for Point { fn sub_assign(&mut self, rhs: Self) { *self = *self - rhs } } impl std::ops::Neg for Point { type Output = Point; fn neg(self) -> Self::Output { Point { x: -self.x, y: -self.y, } } } /// an unsigned point in 2d space #[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)] pub struct UPoint { pub x: usize, pub y: usize, } impl UPoint { /// converts a upoint (representing a point on a 1 quadrant grid with the origin in the /// top-left corner) into a point( representing a point on a 4 quadrant grid with positive xy /// in the top-right) pub fn to_point(self, zero_coord: &UPoint) -> Point { Point { x: -(zero_coord.x as isize - self.x as isize), y: zero_coord.y as isize - self.y as isize, } } } impl Distances for UPoint { fn taxicab_distance(&self, other: &Self) -> usize { self.x.abs_diff(other.x) + self.y.abs_diff(other.y) } } impl std::ops::Add for UPoint { type Output = UPoint; fn add(self, rhs: Self) -> Self::Output { Self { x: self.x + rhs.x, y: self.y + rhs.y, } } } impl std::ops::AddAssign for UPoint { fn add_assign(&mut self, rhs: Self) { *self = *self + rhs } } impl std::ops::Sub for UPoint { type Output = UPoint; fn sub(self, rhs: Self) -> Self::Output { Self { x: self.x - rhs.x, y: self.y - rhs.y, } } } impl std::ops::SubAssign for UPoint { fn sub_assign(&mut self, rhs: Self) { *self = *self - rhs } } /// A matrix that allows negative co-oordinates. Will panic if referencing out of bounds, just like /// a normal 2d array. #[derive(Debug, Clone, Copy, PartialEq, Eq)] pub struct FourQuadrantMatrix { matrix: [[T; X]; Y], max_point: Point, min_point: Point, zero_coord: UPoint, } impl FourQuadrantMatrix<{ X }, { Y }, T> where T: Copy, T: Default, { /// generates a new FourQuadrantMatrix with a given zero point (the point in the underlying 2d /// array considered to be (0,0)) pub fn new(zero_coord: UPoint) -> FourQuadrantMatrix<{ X }, { Y }, T> { FourQuadrantMatrix { matrix: [[T::default(); X]; Y], max_point: UPoint { x: X - 1, y: 0 }.to_point(&zero_coord), min_point: UPoint { x: 0, y: Y - 1 }.to_point(&zero_coord), zero_coord, } } pub fn zero_coord(&self) -> UPoint { self.zero_coord } pub fn min_point(&self) -> Point { self.min_point } pub fn max_point(&self) -> Point { self.max_point } /// makes sure a point is in bounds and if not, brings it in bounds. pub fn bound_point(&self, point: &mut Point) { if point.x > self.max_point.x { point.x = self.max_point.x } if point.y > self.max_point.y { point.y = self.max_point.y } if point.x < self.min_point.x { point.x = self.min_point.x } if point.y < self.min_point.y { point.y = self.min_point.y } } /// checks if the point is in bounds. pub fn is_in_bounds(&self, point: &Point) -> bool { point.x <= self.max_point.x && point.y <= self.max_point.y && point.x >= self.min_point.x && point.y >= self.min_point.y } /// fills the matrix with the Ts default value. pub fn reset_matrix(&mut self) { self.matrix = [[T::default(); X]; Y]; } } impl std::ops::IndexMut for FourQuadrantMatrix<{ X }, { Y }, T> { fn index_mut(&mut self, index: Point) -> &mut Self::Output { let upoint = index .to_upoint(&self.zero_coord) .expect("would result in negative unsigned coordinate!"); &mut self.matrix[upoint.y][upoint.x] } } impl std::ops::Index for FourQuadrantMatrix<{ X }, { Y }, T> { type Output = T; fn index(&self, index: Point) -> &Self::Output { let upoint = index .to_upoint(&self.zero_coord) .expect("would result in negative unsigned coordinate!"); &self.matrix[upoint.y][upoint.x] } } impl From> for [[T; X]; Y] { fn from(value: FourQuadrantMatrix<{ X }, { Y }, T>) -> Self { value.matrix } }