Initial commit

.gitignore

@@ -0,0 +1,2 @@
+/target
+/graphs

Cargo.toml

@@ -0,0 +1,22 @@
+[package]
+name = "bevy-template"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+bevy = "0.16.1"
+bevy-inspector-egui = "0.32.0"
+bevy_egui = "0.35.1"
+bevy_mod_debugdump = "0.13.0"
+bevy_prototype_lyon = "0.13.0"
+num-traits = "0.2.19"
+
+# Enable a small amount of optimization in debug mode
+[profile.dev]
+opt-level = 1
+
+# Enable high optimizations for dependencies (incl. Bevy), but not for our code:
+[profile.dev.package."*"]
+opt-level = 3

src/debug.rs

@@ -0,0 +1,46 @@
+use bevy::prelude::*;
+
+pub struct DebugPlugin;
+
+#[derive(Debug, Hash, PartialEq, Eq, Clone, SystemSet)]
+pub struct DebugSet;
+
+impl Plugin for DebugPlugin {
+    fn build(&self, app: &mut App) {
+        app.configure_sets(Last, DebugSet.run_if(is_debug_enabled));
+
+        app.insert_resource(DebugMode::on())
+            .add_plugins((
+                // // WorldInspector requires EguiPlugin plugin to be added before it
+                bevy_egui::EguiPlugin::default(),
+                bevy_inspector_egui::quick::WorldInspectorPlugin::new().run_if(is_debug_enabled),
+            ))
+            .add_systems(Update, debug_toggle);
+    }
+}
+
+#[derive(Reflect, Resource, Default)]
+#[reflect(Resource)]
+pub struct DebugMode {
+    pub enabled: bool,
+}
+
+impl DebugMode {
+    pub fn on() -> Self {
+        Self { enabled: true }
+    }
+
+    pub fn off() -> Self {
+        Self { enabled: false }
+    }
+}
+
+pub fn is_debug_enabled(debug_mode: Res<DebugMode>) -> bool {
+    debug_mode.enabled
+}
+
+fn debug_toggle(input: Res<ButtonInput<KeyCode>>, mut debug_mode: ResMut<DebugMode>) {
+    if input.just_pressed(KeyCode::KeyP) {
+        debug_mode.enabled = !debug_mode.enabled
+    }
+}

src/game.rs

@@ -0,0 +1,19 @@
+use crate::{debug, game_setup, util};
+use bevy::prelude::*;
+
+mod prefab;
+mod systems;
+
+pub fn init(app: &mut App) {
+    let app = app.add_plugins((
+        game_setup::GameSetupPlugin,
+        util::UtilPlugin,
+        debug::DebugPlugin,
+    ));
+
+    // app.add_systems(Startup, systems::setup_demo_2d)
+    //     .add_systems(Update, systems::demo_2d);
+
+    app.add_systems(Startup, systems::setup_demo_3d)
+        .add_systems(Update, systems::demo_3d);
+}

src/game/prefab.rs

@@ -0,0 +1,30 @@
+use bevy::pbr::Atmosphere;
+use bevy::prelude::*;
+
+#[derive(Clone, Debug, Default, Component, Reflect)]
+#[reflect(Component)]
+#[require(
+    Name = Name::from("2D Camera"),
+    Camera2d,
+    Transform = Transform::from_xyz(0., 0., 10.),
+)]
+pub struct DemoCamera2d;
+
+#[derive(Clone, Debug, Default, Component, Reflect)]
+#[reflect(Component)]
+#[require(
+    Name = Name::from("3D Camera"),
+    // Atmosphere causes a panic if hdr is not true: https://github.com/bevyengine/bevy/issues/18959
+    Camera = Camera {
+        hdr: true,
+        ..default()
+    },
+    Camera3d,
+    Atmosphere = Atmosphere::EARTH,
+    Transform = Transform::from_xyz(1., 2., 10.).looking_at(Vec3::ZERO, Dir3::Y),
+    PointLight,
+)]
+pub struct DemoCamera3d;
+
+
+

src/game/systems.rs

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+mod demo;
+
+pub use demo::*;

src/game/systems/demo.rs

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+pub use bevy::prelude::*;
+
+use crate::game::prefab::{DemoCamera2d, DemoCamera3d};
+
+pub fn setup_demo_2d(mut commands: Commands) {
+    commands.spawn((
+        Name::from("2D Demo Scene"),
+        Transform::default(),
+        Visibility::default(),
+        children![
+            DemoCamera2d,
+            (Name::from("2D sprite"), Sprite::sized(Vec2::splat(256.0)),)
+        ],
+    ));
+}
+
+pub fn demo_2d(
+    mut camera_query: Query<(&mut Transform, &mut Projection)>,
+    mut mouse_events: EventReader<bevy::input::mouse::MouseMotion>,
+    mut scroll_events: EventReader<bevy::input::mouse::MouseWheel>,
+    mouse_input: Res<ButtonInput<MouseButton>>,
+    keyboard_input: Res<ButtonInput<KeyCode>>,
+) {
+    let raw_mouse_motion: Vec2 = mouse_events.read().map(|e| e.delta).sum();
+    let raw_scroll_motion: f32 = scroll_events
+        .read()
+        .map(|event| match event.unit {
+            bevy::input::mouse::MouseScrollUnit::Line => event.y * -0.1,
+            bevy::input::mouse::MouseScrollUnit::Pixel => event.y * -0.05,
+        })
+        .sum();
+
+    for (mut transform, mut projection) in camera_query.iter_mut() {
+        let projection = match projection.as_mut() {
+            Projection::Orthographic(projection) => projection,
+            _ => continue,
+        };
+        if keyboard_input.pressed(KeyCode::ControlLeft) {
+            projection.scale += raw_scroll_motion * projection.scale;
+        }
+        let mouse_motion = raw_mouse_motion * projection.scale * Vec2::new(-1.0, 1.0);
+        if mouse_input.pressed(MouseButton::Middle) {
+            transform.translation += mouse_motion.extend(0.0);
+        }
+    }
+}
+
+pub fn setup_demo_3d(
+    mut commands: Commands,
+    mut meshes: ResMut<Assets<Mesh>>,
+    mut materials: ResMut<Assets<StandardMaterial>>,
+) {
+    commands.spawn((
+        Name::from("3D Demo Scene"),
+        Transform::from_xyz(0., 300.0, 0.),
+        Visibility::default(),
+        children![
+            (
+                DemoCamera3d,
+                Transform::from_xyz(-6.225, 2.197, -10.470).looking_at(Vec3::ZERO, Dir3::Y),
+            ),
+            (
+                Name::from("Cuboid"),
+                Transform::from_xyz(0., 0.5, 0.),
+                Mesh3d(meshes.add(Cuboid::from_length(1.0))),
+                MeshMaterial3d(materials.add(Color::from(bevy::color::palettes::css::GREY))),
+            ),
+            (
+                Name::from("Floor"),
+                Transform::from_xyz(0., -0.25, 0.),
+                Mesh3d(meshes.add(Cuboid::from_size(Vec3::new(10., 0.5, 10.)))),
+                MeshMaterial3d(materials.add(Color::from(bevy::color::palettes::css::GREY))),
+            ),
+            (
+                Name::from("Sun"),
+                Transform::from_rotation(Quat::from_euler(
+                    EulerRot::default(),
+                    f32::to_radians(160.0),
+                    f32::to_radians(-20.0),
+                    0.0,
+                )),
+                DirectionalLight {
+                    shadows_enabled: true,
+                    ..default()
+                },
+            ),
+        ],
+    ));
+}
+
+pub fn demo_3d(
+    mut camera_query: Query<&mut Transform, With<Camera3d>>,
+    mut mouse_events: EventReader<bevy::input::mouse::MouseMotion>,
+    mouse_input: Res<ButtonInput<MouseButton>>,
+    key_input: Res<ButtonInput<KeyCode>>,
+    time: Res<Time>,
+) {
+    let raw_mouse_motion: Vec2 = mouse_events.read().map(|e| e.delta).sum();
+
+    if mouse_input.pressed(MouseButton::Right) {
+        let move_forward = key_input.pressed(KeyCode::KeyW);
+        let move_back = key_input.pressed(KeyCode::KeyS);
+        let move_left = key_input.pressed(KeyCode::KeyA);
+        let move_right = key_input.pressed(KeyCode::KeyD);
+        let move_up = key_input.pressed(KeyCode::Space) || key_input.pressed(KeyCode::KeyE);
+        let move_down = key_input.pressed(KeyCode::ControlLeft) || key_input.pressed(KeyCode::KeyQ);
+
+        let raw_movement = Vec3 {
+            x: match (move_right, move_left) {
+                (true, false) => 1.0,
+                (false, true) => -1.0,
+                _ => 0.0,
+            },
+            y: match (move_up, move_down) {
+                (true, false) => 1.0,
+                (false, true) => -1.0,
+                _ => 0.0,
+            },
+            z: match (move_back, move_forward) {
+                (true, false) => 1.0,
+                (false, true) => -1.0,
+                _ => 0.0,
+            },
+        };
+
+        for mut transform in camera_query.iter_mut() {
+            let mouse_motion = raw_mouse_motion * Vec2::new(-1.0, -1.0) * 0.002;
+            transform.rotate_axis(Dir3::Y, mouse_motion.x);
+            transform.rotate_local_x(mouse_motion.y);
+
+            let local_movement = raw_movement * time.delta_secs() * 10.0;
+            let movement = transform.rotation * local_movement;
+            transform.translation += movement;
+        }
+    }
+}

src/game_setup.rs

@@ -0,0 +1,21 @@
+use bevy::{prelude::*, window::WindowResolution};
+
+pub struct GameSetupPlugin;
+
+impl Plugin for GameSetupPlugin {
+    fn build(&self, app: &mut App) {
+        app.insert_resource(ClearColor(Color::BLACK)).add_plugins(
+            DefaultPlugins
+                .set(WindowPlugin {
+                    primary_window: Some(Window {
+                        resolution: WindowResolution::new(512.0 * 2.0, 320.0 * 2.0),
+                        title: "Bevy template <press P to toggle debug mode>".to_string(), // NOTE: Replace this
+                        resizable: false,
+                        ..default()
+                    }),
+                    ..default()
+                })
+                .set(ImagePlugin::default_nearest()),
+        );
+    }
+}

src/main.rs

@@ -0,0 +1,14 @@
+use bevy::prelude::*;
+use util::create_app_graphs;
+
+pub mod debug;
+pub mod game;
+pub mod game_setup;
+pub mod util;
+
+fn main() {
+    let mut app = App::new();
+    game::init(&mut app);
+    create_app_graphs(&mut app);
+    app.run();
+}

src/util.rs

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+use bevy::prelude::*;
+use bevy_mod_debugdump::{render_graph, render_graph_dot};
+use core::{fmt, ops};
+use std::{fs, path::Path};
+
+mod basis;
+mod plugin;
+mod transform_f64;
+mod types;
+mod vector2;
+mod vector2_i32;
+mod vector3;
+mod vector3_i32;
+
+pub use basis::*;
+pub use plugin::*;
+pub use transform_f64::*;
+pub use types::*;
+pub use vector2::*;
+pub use vector2_i32::*;
+pub use vector3::*;
+pub use vector3_i32::*;
+
+pub trait VectorComponent:
+    Sized
+    + Copy
+    + PartialOrd
+    + Reflect
+    + fmt::Display
+    + ops::Add<Output = Self>
+    + ops::Neg<Output = Self>
+    + ops::Sub<Output = Self>
+    + ops::Mul<Output = Self>
+    + ops::Div<Output = Self>
+    + num_traits::identities::Zero
+    + num_traits::identities::One
+    + num_traits::sign::Signed
+{
+    fn min(self, b: Self) -> Self;
+    fn max(self, b: Self) -> Self;
+}
+
+impl<T> VectorComponent for T
+where
+    T: Sized
+        + Copy
+        + PartialOrd
+        + Reflect
+        + fmt::Display
+        + ops::Neg<Output = T>
+        + ops::Add<Output = T>
+        + ops::Sub<Output = T>
+        + ops::Mul<Output = T>
+        + ops::Div<Output = T>
+        + num_traits::identities::Zero
+        + num_traits::identities::One
+        + num_traits::sign::Signed,
+{
+    fn min(self, b: Self) -> Self {
+        if self < b {
+            self
+        } else {
+            b
+        }
+    }
+
+    fn max(self, b: Self) -> Self {
+        if self > b {
+            self
+        } else {
+            b
+        }
+    }
+}
+
+pub fn lerp<
+    T: Copy
+        + ops::Add<Output = T>
+        + ops::Sub<Output = T>
+        + ops::Mul<Output = T>
+        + num_traits::identities::One,
+>(
+    a: T,
+    b: T,
+    t: T,
+) -> T {
+    a * (T::one() - t) + b * t
+}
+
+pub fn inverse_lerp<T: Copy + ops::Sub<Output = T> + ops::Div<Output = T>>(
+    a: T,
+    b: T,
+    value: T,
+) -> T {
+    (value - a) / (b - a)
+}
+
+pub fn vec2_lerp(a: Vec2, b: Vec2, t: f32) -> Vec2 {
+    Vec2 {
+        x: lerp(a.x, b.x, t),
+        y: lerp(a.y, b.y, t),
+    }
+}
+
+pub fn vec3_lerp(a: Vec3, b: Vec3, t: f32) -> Vec3 {
+    Vec3 {
+        x: lerp(a.x, b.x, t),
+        y: lerp(a.y, b.y, t),
+        z: lerp(a.z, b.z, t),
+    }
+}
+
+pub fn move_towards_vec2(from: Vec2, to: Vec2, amount: f32) -> Vec2 {
+    let diff = to - from;
+    let length = diff.length();
+    if length <= f32::EPSILON {
+        return from;
+    }
+    from + diff.normalize() * length.min(amount)
+}
+
+pub fn move_towards_vec3(from: Vec3, to: Vec3, amount: f32) -> Vec3 {
+    let diff = to - from;
+    let length = diff.length();
+    if length <= f32::EPSILON {
+        return from;
+    }
+    from + diff.normalize() * length.min(amount)
+}
+
+/// Get the intersection point (if any) of 2d lines a and b.
+/// Lines are defined by 2 points on the line
+pub fn vec2_intersection(a1: Vec2, a2: Vec2, b1: Vec2, b2: Vec2) -> Option<Vec2> {
+    let a_dir = a2 - a1;
+    let b_dir = b2 - b1;
+    let determinant = a_dir.perp_dot(b_dir);
+    if determinant.abs() <= f32::EPSILON {
+        return None;
+    }
+    Some(
+        Vec2 {
+            x: a_dir.x * (b1.x * b2.y - b1.y * b2.x) - (a1.x * a2.y - a1.y * a2.x) * b_dir.x,
+            y: (a1.x * a2.y - a1.y * a2.x) * -b_dir.y + a_dir.y * (b1.x * b2.y - b1.y * b2.x),
+        } / determinant,
+    )
+}
+
+pub fn loop_value(from: f32, to: f32, value: f32) -> f32 {
+    let range = to - from;
+    if !range.is_normal() {
+        return from;
+    }
+    value - inverse_lerp(from, to, value).floor() * range
+}
+
+pub fn create_app_graphs(app: &mut App) {
+    // TODO: Figure out how to list schedules under the new interned ScheduleLabel system
+    println!("Writing render graph");
+    {
+        let path = Path::new("graphs").join("render.dot");
+        write_render_graph(app, &path);
+        println!("\t- {}", path.to_string_lossy());
+    }
+}
+
+fn write_render_graph(app: &mut App, path: &Path) {
+    fs::create_dir_all(path.parent().unwrap()).unwrap();
+    fs::write(
+        path,
+        render_graph_dot(app, &render_graph::settings::Settings::default()),
+    )
+    .unwrap();
+}

src/util/basis.rs

@@ -0,0 +1,42 @@
+use bevy::prelude::*;
+
+use super::{Vector3, VectorComponent};
+
+#[derive(PartialEq, Eq, Hash, Clone, Copy, Debug, Reflect)]
+pub struct Basis<T: VectorComponent> {
+    pub x: Vector3<T>,
+    pub y: Vector3<T>,
+    pub z: Vector3<T>,
+}
+
+impl<T: VectorComponent> Default for Basis<T> {
+    fn default() -> Self {
+        Self {
+            x: Vector3::x(),
+            y: Vector3::y(),
+            z: Vector3::z(),
+        }
+    }
+}
+
+impl<T: VectorComponent> Basis<T> {
+    pub fn identity() -> Self {
+        Self::default()
+    }
+
+    pub fn inverse(&self) -> Self {
+        Self {
+            x: self.x * -T::one(),
+            y: self.y * -T::one(),
+            z: self.z * -T::one(),
+        }
+    }
+
+    pub fn transform(&self, point: Vector3<T>) -> Vector3<T> {
+        self.x * point.x + self.y * point.y + self.z * point.z
+    }
+
+    pub fn inverse_transform(&self, point: Vector3<T>) -> Vector3<T> {
+        self.inverse().transform(point)
+    }
+}

src/util/plugin.rs

@@ -0,0 +1,33 @@
+use bevy::prelude::*;
+
+pub struct UtilPlugin;
+
+impl Plugin for UtilPlugin {
+    fn build(&self, app: &mut App) {
+        app.register_type::<SpriteLoader>()
+            .add_systems(PostUpdate, load_sprite);
+    }
+}
+
+/// Automatically sets the `Sprite` components `image` to given asset path upon being added.
+///
+/// Can be used to set default sprite in required components without having access to AssetServer.
+#[derive(Clone, Debug, Default, Component, Reflect)]
+#[reflect(Component)]
+#[require(Sprite)]
+pub struct SpriteLoader(pub String);
+
+impl SpriteLoader {
+    pub fn from(path: impl Into<String>) -> Self {
+        Self(path.into())
+    }
+}
+
+pub fn load_sprite(
+    mut sprite_query: Query<(&mut Sprite, &SpriteLoader), Added<SpriteLoader>>,
+    assets: Res<AssetServer>,
+) {
+    for (mut sprite, loader) in sprite_query.iter_mut() {
+        sprite.image = assets.load(&loader.0);
+    }
+}

src/util/transform_f64.rs

@@ -0,0 +1,34 @@
+use bevy::prelude::*;
+
+mod basis_f64;
+mod vector3_f64;
+
+pub use basis_f64::*;
+pub use vector3_f64::*;
+
+pub struct DoublePrecisionPlugin;
+
+impl Plugin for DoublePrecisionPlugin {
+    fn build(&self, app: &mut App) {
+        app.insert_resource(WorldOffset::default())
+            .register_type::<TranslationD>()
+            .add_systems(PostUpdate, translation_system);
+    }
+}
+
+#[derive(Resource, Reflect, Default)]
+#[reflect(Resource)]
+pub struct WorldOffset(pub Vector3D);
+
+#[derive(Component, Reflect, Default)]
+#[reflect(Component)]
+pub struct TranslationD(pub Vector3D);
+
+fn translation_system(
+    mut query: Query<(&mut Transform, &TranslationD)>,
+    world_offset: Res<WorldOffset>,
+) {
+    for (mut real_transform, translation) in query.iter_mut() {
+        real_transform.translation = Vec3::from(translation.0 - world_offset.0);
+    }
+}

src/util/transform_f64/basis_f64.rs

@@ -0,0 +1,23 @@
+use crate::util::Basis;
+
+use super::Vector3D;
+
+pub type BasisD = Basis<f64>;
+
+impl BasisD {
+    pub fn from_euler(yaw: f64, pitch: f64, roll: f64) -> Self {
+        let basis = Self::identity();
+        let basis = basis.rotate_by_axis(&basis.y, yaw);
+        let basis = basis.rotate_by_axis(&basis.x, pitch);
+        let basis = basis.rotate_by_axis(&basis.z, roll);
+        basis
+    }
+
+    pub fn rotate_by_axis(&self, axis: &Vector3D, angle: f64) -> Self {
+        Self {
+            x: self.x.rotate_around_axis(axis, angle),
+            y: self.y.rotate_around_axis(axis, angle),
+            z: self.z.rotate_around_axis(axis, angle),
+        }
+    }
+}

src/util/transform_f64/vector3_f64.rs

@@ -0,0 +1,74 @@
+use bevy::prelude::*;
+
+use crate::util::Vector3;
+
+pub type Vector3D = Vector3<f64>;
+
+impl Vector3D {
+    pub const ZERO: Self = Self {
+        x: 0.0,
+        y: 0.0,
+        z: 0.0,
+    };
+    pub const ONE: Self = Self {
+        x: 1.0,
+        y: 1.0,
+        z: 1.0,
+    };
+    pub const UP: Self = Self {
+        x: 0.0,
+        y: 1.0,
+        z: 0.0,
+    };
+    pub const DOWN: Self = Self {
+        x: 0.0,
+        y: -1.0,
+        z: 0.0,
+    };
+    pub const LEFT: Self = Self {
+        x: -1.0,
+        y: 0.0,
+        z: 0.0,
+    };
+    pub const RIGHT: Self = Self {
+        x: 1.0,
+        y: 0.0,
+        z: 0.0,
+    };
+    pub const FORWARD: Self = Self {
+        x: 0.0,
+        y: 0.0,
+        z: -1.0,
+    };
+    pub const BACK: Self = Self {
+        x: 0.0,
+        y: 0.0,
+        z: 1.0,
+    };
+
+    pub fn rotate_around_axis(&self, axis: &Self, angle: f64) -> Self {
+        *self * angle.cos()
+            + axis.cross(self) * angle.sin()
+            + *axis * axis.dot(self) * (1.0 - angle.cos())
+    }
+}
+
+impl From<Vec3> for Vector3D {
+    fn from(vec: Vec3) -> Self {
+        Self {
+            x: vec.x as f64,
+            y: vec.y as f64,
+            z: vec.y as f64,
+        }
+    }
+}
+
+impl From<Vector3D> for Vec3 {
+    fn from(vec: Vector3D) -> Self {
+        Vec3 {
+            x: vec.x as f32,
+            y: vec.y as f32,
+            z: vec.z as f32,
+        }
+    }
+}

src/util/types.rs

@@ -0,0 +1,2 @@
+pub type Seconds = f32;
+pub type Kilograms = f32;

src/util/vector2.rs

@@ -0,0 +1,152 @@
+use bevy::reflect::Reflect;
+use core::{fmt, ops};
+
+use super::VectorComponent;
+
+#[derive(PartialEq, Eq, Hash, Clone, Copy, Default, Debug, Reflect)]
+pub struct Vector2<T: VectorComponent> {
+    pub x: T,
+    pub y: T,
+}
+
+impl<T: VectorComponent> Vector2<T> {
+    pub fn x() -> Self {
+        Self {
+            x: T::one(),
+            y: T::zero(),
+        }
+    }
+    pub fn y() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::one(),
+        }
+    }
+    pub fn zero() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::zero(),
+        }
+    }
+    pub fn one() -> Self {
+        Self {
+            x: T::one(),
+            y: T::one(),
+        }
+    }
+    pub fn up() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::one(),
+        }
+    }
+    pub fn down() -> Self {
+        Self {
+            x: T::zero(),
+            y: -T::one(),
+        }
+    }
+    pub fn left() -> Self {
+        Self {
+            x: -T::one(),
+            y: T::zero(),
+        }
+    }
+    pub fn right() -> Self {
+        Self {
+            x: T::one(),
+            y: T::zero(),
+        }
+    }
+
+    pub fn new(x: T, y: T) -> Vector2<T> {
+        Vector2 { x, y }
+    }
+
+    pub fn min(&self, other: &Vector2<T>) -> Vector2<T> {
+        Vector2 {
+            x: VectorComponent::min(self.x, other.x),
+            y: VectorComponent::min(self.y, other.y),
+        }
+    }
+
+    pub fn max(&self, other: &Vector2<T>) -> Vector2<T> {
+        Vector2 {
+            x: VectorComponent::max(self.x, other.x),
+            y: VectorComponent::max(self.y, other.y),
+        }
+    }
+}
+
+impl<T: VectorComponent> fmt::Display for Vector2<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        write!(f, "({}, {})", self.x, self.y)
+    }
+}
+
+impl<T: VectorComponent> ops::Add<Vector2<T>> for Vector2<T> {
+    type Output = Vector2<T>;
+    fn add(self, rhs: Vector2<T>) -> Self::Output {
+        Vector2 {
+            x: self.x + rhs.x,
+            y: self.y + rhs.y,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Neg for Vector2<T> {
+    type Output = Vector2<T>;
+    fn neg(self) -> Self::Output {
+        Vector2 {
+            x: -self.x,
+            y: -self.y,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Sub<Vector2<T>> for Vector2<T> {
+    type Output = Vector2<T>;
+    fn sub(self, rhs: Vector2<T>) -> Self::Output {
+        self + (-rhs)
+    }
+}
+
+impl<T: VectorComponent> ops::Mul<Vector2<T>> for Vector2<T> {
+    type Output = Vector2<T>;
+    fn mul(self, rhs: Vector2<T>) -> Self::Output {
+        Vector2 {
+            x: self.x * rhs.x,
+            y: self.y * rhs.y,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Mul<T> for Vector2<T> {
+    type Output = Vector2<T>;
+    fn mul(self, rhs: T) -> Self::Output {
+        Vector2 {
+            x: self.x * rhs,
+            y: self.y * rhs,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Div<Vector2<T>> for Vector2<T> {
+    type Output = Vector2<T>;
+    fn div(self, rhs: Vector2<T>) -> Self::Output {
+        Vector2 {
+            x: self.x / rhs.x,
+            y: self.y / rhs.y,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Div<T> for Vector2<T> {
+    type Output = Vector2<T>;
+    fn div(self, rhs: T) -> Self::Output {
+        Vector2 {
+            x: self.x / rhs,
+            y: self.y / rhs,
+        }
+    }
+}

src/util/vector2_i32.rs

@@ -0,0 +1,46 @@
+use bevy::prelude::*;
+
+use super::Vector2;
+
+pub type Vector2I = Vector2<i32>;
+
+impl Vector2I {
+    pub const ZERO: Vector2I = Vector2I { x: 0, y: 0 };
+    pub const ONE: Vector2I = Vector2I { x: 1, y: 1 };
+    pub const UP: Vector2I = Vector2I { x: 0, y: 1 };
+    pub const DOWN: Vector2I = Vector2I { x: 0, y: -1 };
+    pub const LEFT: Vector2I = Vector2I { x: -1, y: 0 };
+    pub const RIGHT: Vector2I = Vector2I { x: 1, y: 0 };
+
+    pub fn angle(&self) -> f32 {
+        (self.y as f32).atan2(self.x as f32)
+    }
+}
+
+impl From<Vec2> for Vector2I {
+    fn from(vec: Vec2) -> Self {
+        Self {
+            x: vec.x as i32,
+            y: vec.y as i32,
+        }
+    }
+}
+
+impl From<Vector2I> for Vec2 {
+    fn from(vec: Vector2I) -> Self {
+        Vec2 {
+            x: vec.x as f32,
+            y: vec.y as f32,
+        }
+    }
+}
+
+impl From<Vector2I> for Vec3 {
+    fn from(vec: Vector2I) -> Self {
+        Vec3 {
+            x: vec.x as f32,
+            y: vec.y as f32,
+            z: 0.0,
+        }
+    }
+}

src/util/vector3.rs

@@ -0,0 +1,202 @@
+use bevy::reflect::Reflect;
+use core::{fmt, ops};
+
+use super::VectorComponent;
+
+#[derive(PartialEq, Eq, Hash, Clone, Copy, Default, Debug, Reflect)]
+pub struct Vector3<T: VectorComponent> {
+    pub x: T,
+    pub y: T,
+    pub z: T,
+}
+
+impl<T: VectorComponent> Vector3<T> {
+    pub fn x() -> Self {
+        Self {
+            x: T::one(),
+            y: T::zero(),
+            z: T::zero(),
+        }
+    }
+    pub fn y() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::one(),
+            z: T::zero(),
+        }
+    }
+    pub fn z() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::zero(),
+            z: T::one(),
+        }
+    }
+    pub fn zero() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::zero(),
+            z: T::zero(),
+        }
+    }
+    pub fn one() -> Self {
+        Self {
+            x: T::one(),
+            y: T::one(),
+            z: T::one(),
+        }
+    }
+    pub fn up() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::one(),
+            z: T::zero(),
+        }
+    }
+    pub fn down() -> Self {
+        Self {
+            x: T::zero(),
+            y: -T::one(),
+            z: T::zero(),
+        }
+    }
+    pub fn left() -> Self {
+        Self {
+            x: -T::one(),
+            y: T::zero(),
+            z: T::zero(),
+        }
+    }
+    pub fn right() -> Self {
+        Self {
+            x: T::one(),
+            y: T::zero(),
+            z: T::zero(),
+        }
+    }
+    pub fn forward() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::zero(),
+            z: -T::one(),
+        }
+    }
+    pub fn back() -> Self {
+        Self {
+            x: T::zero(),
+            y: T::zero(),
+            z: T::one(),
+        }
+    }
+
+    pub fn new(x: T, y: T, z: T) -> Self {
+        Vector3 { x, y, z }
+    }
+
+    pub fn min(&self, other: &Self) -> Self {
+        Vector3 {
+            x: VectorComponent::min(self.x, other.x),
+            y: VectorComponent::min(self.y, other.y),
+            z: VectorComponent::min(self.z, other.z),
+        }
+    }
+
+    pub fn max(&self, other: &Self) -> Self {
+        Vector3 {
+            x: VectorComponent::max(self.x, other.x),
+            y: VectorComponent::max(self.y, other.y),
+            z: VectorComponent::max(self.z, other.z),
+        }
+    }
+
+    pub fn dot(&self, other: &Self) -> T {
+        self.x * other.x + self.y * other.y + self.z * other.z
+    }
+
+    pub fn cross(&self, other: &Self) -> Self {
+        Self {
+            x: self.y * other.z - self.z * other.y,
+            y: self.z * other.x - self.x * other.z,
+            z: self.x * other.y - self.y * other.x,
+        }
+    }
+}
+
+impl<T: VectorComponent> fmt::Display for Vector3<T> {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        write!(f, "({}, {}, {})", self.x, self.y, self.z)
+    }
+}
+
+impl<T: VectorComponent> ops::Add<Vector3<T>> for Vector3<T> {
+    type Output = Self;
+    fn add(self, rhs: Self) -> Self::Output {
+        Vector3 {
+            x: self.x + rhs.x,
+            y: self.y + rhs.y,
+            z: self.z + rhs.z,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Neg for Vector3<T> {
+    type Output = Self;
+    fn neg(self) -> Self::Output {
+        Vector3 {
+            x: -self.x,
+            y: -self.y,
+            z: -self.z,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Sub<Vector3<T>> for Vector3<T> {
+    type Output = Self;
+    fn sub(self, rhs: Self) -> Self::Output {
+        self + (-rhs)
+    }
+}
+
+impl<T: VectorComponent> ops::Mul<Vector3<T>> for Vector3<T> {
+    type Output = Self;
+    fn mul(self, rhs: Self) -> Self::Output {
+        Vector3 {
+            x: self.x * rhs.x,
+            y: self.y * rhs.y,
+            z: self.z * rhs.z,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Mul<T> for Vector3<T> {
+    type Output = Self;
+    fn mul(self, rhs: T) -> Self::Output {
+        Vector3 {
+            x: self.x * rhs,
+            y: self.y * rhs,
+            z: self.z * rhs,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Div<Vector3<T>> for Vector3<T> {
+    type Output = Self;
+    fn div(self, rhs: Vector3<T>) -> Self::Output {
+        Vector3 {
+            x: self.x / rhs.x,
+            y: self.y / rhs.y,
+            z: self.z / rhs.z,
+        }
+    }
+}
+
+impl<T: VectorComponent> ops::Div<T> for Vector3<T> {
+    type Output = Self;
+    fn div(self, rhs: T) -> Self::Output {
+        Vector3 {
+            x: self.x / rhs,
+            y: self.y / rhs,
+            z: self.z / rhs,
+        }
+    }
+}

src/util/vector3_i32.rs

@@ -0,0 +1,36 @@
+use bevy::prelude::*;
+
+use super::Vector3;
+
+pub type Vector3I = Vector3<i32>;
+
+impl Vector3I {
+    pub const ZERO: Self = Self { x: 0, y: 0, z: 0 };
+    pub const ONE: Self = Self { x: 1, y: 1, z: 1 };
+    pub const UP: Self = Self { x: 0, y: 1, z: 0 };
+    pub const DOWN: Self = Self { x: 0, y: -1, z: 0 };
+    pub const LEFT: Self = Self { x: -1, y: 0, z: 0 };
+    pub const RIGHT: Self = Self { x: 1, y: 0, z: 0 };
+    pub const FORWARD: Self = Self { x: 0, y: 0, z: -1 };
+    pub const BACK: Self = Self { x: 0, y: 0, z: 1 };
+}
+
+impl From<Vec3> for Vector3I {
+    fn from(vec: Vec3) -> Self {
+        Self {
+            x: vec.x as i32,
+            y: vec.y as i32,
+            z: vec.y as i32,
+        }
+    }
+}
+
+impl From<Vector3I> for Vec3 {
+    fn from(vec: Vector3I) -> Self {
+        Vec3 {
+            x: vec.x as f32,
+            y: vec.y as f32,
+            z: vec.z as f32,
+        }
+    }
+}