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use bevy::{camera::primitives::Aabb, prelude::*}; |
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use chacha20::ChaCha8Rng; |
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use rand::{RngExt, SeedableRng}; |
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use std::f32::consts::PI; |
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|
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const TRANSITION_DURATION: f32 = 2.0; |
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|
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fn main() { |
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App::new() |
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.add_plugins(DefaultPlugins) |
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.add_systems(Startup, setup) |
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.add_systems(Update, (move_cubes, draw_axes).chain()) |
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.run(); |
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} |
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|
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#[derive(Component)] |
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struct ShowAxes; |
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#[derive(Component)] |
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struct TransformTracking { |
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initial_transform: Transform, |
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target_transform: Transform, |
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progress: f32, |
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} |
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#[derive(Resource)] |
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struct SeededRng(ChaCha8Rng); |
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|
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fn setup( |
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mut commands: Commands, |
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mut meshes: ResMut<Assets<Mesh>>, |
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mut materials: ResMut<Assets<StandardMaterial>>, |
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) { |
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let mut rng = ChaCha8Rng::seed_from_u64(19878367467713); |
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commands.spawn(( |
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PointLight { |
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shadow_maps_enabled: true, |
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..default() |
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}, |
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Transform::from_xyz(2., 6., 0.), |
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)); |
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|
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|
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commands.spawn(( |
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Camera3d::default(), |
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Transform::from_xyz(0., 1.5, -8.).looking_at(Vec3::new(0., -0.5, 0.), Vec3::Y), |
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)); |
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|
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|
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commands.spawn(( |
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Mesh3d(meshes.add(Cuboid::new(1., 1., 1.))), |
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MeshMaterial3d(materials.add(Color::srgb(0.8, 0.7, 0.6))), |
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ShowAxes, |
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TransformTracking { |
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initial_transform: default(), |
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target_transform: random_transform(&mut rng), |
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progress: 0.0, |
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}, |
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)); |
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|
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commands.spawn(( |
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Mesh3d(meshes.add(Cuboid::new(0.5, 0.5, 0.5))), |
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MeshMaterial3d(materials.add(Color::srgb(0.6, 0.7, 0.8))), |
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ShowAxes, |
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TransformTracking { |
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initial_transform: default(), |
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target_transform: random_transform(&mut rng), |
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progress: 0.0, |
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}, |
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)); |
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|
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|
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commands.spawn(( |
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Mesh3d(meshes.add(Plane3d::default().mesh().size(20., 20.))), |
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MeshMaterial3d(materials.add(Color::srgb(0.1, 0.1, 0.1))), |
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Transform::from_xyz(0., -2., 0.), |
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)); |
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|
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commands.insert_resource(SeededRng(rng)); |
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} |
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fn draw_axes(mut gizmos: Gizmos, query: Query<(&Transform, &Aabb), With<ShowAxes>>) { |
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for (&transform, &aabb) in &query { |
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let length = aabb.half_extents.length(); |
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gizmos.axes(transform, length); |
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} |
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} |
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|
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|
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fn move_cubes( |
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mut query: Query<(&mut Transform, &mut TransformTracking)>, |
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time: Res<Time>, |
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mut rng: ResMut<SeededRng>, |
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) { |
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for (mut transform, mut tracking) in &mut query { |
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*transform = interpolate_transforms( |
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tracking.initial_transform, |
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tracking.target_transform, |
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tracking.progress / TRANSITION_DURATION, |
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); |
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if tracking.progress < TRANSITION_DURATION { |
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tracking.progress += time.delta_secs(); |
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} else { |
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tracking.initial_transform = *transform; |
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tracking.target_transform = random_transform(&mut rng.0); |
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tracking.progress = 0.0; |
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} |
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} |
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} |
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|
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const TRANSLATION_BOUND_LOWER_X: f32 = -5.; |
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const TRANSLATION_BOUND_UPPER_X: f32 = 5.; |
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const TRANSLATION_BOUND_LOWER_Y: f32 = -1.; |
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const TRANSLATION_BOUND_UPPER_Y: f32 = 1.; |
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const TRANSLATION_BOUND_LOWER_Z: f32 = -2.; |
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const TRANSLATION_BOUND_UPPER_Z: f32 = 6.; |
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|
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const SCALING_BOUND_LOWER_LOG: f32 = -1.2; |
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const SCALING_BOUND_UPPER_LOG: f32 = 1.2; |
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|
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fn random_transform(rng: &mut impl RngExt) -> Transform { |
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Transform { |
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translation: random_translation(rng), |
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rotation: random_rotation(rng), |
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scale: random_scale(rng), |
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} |
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} |
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|
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fn random_translation(rng: &mut impl RngExt) -> Vec3 { |
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let x = rng.random::<f32>() * (TRANSLATION_BOUND_UPPER_X - TRANSLATION_BOUND_LOWER_X) |
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+ TRANSLATION_BOUND_LOWER_X; |
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let y = rng.random::<f32>() * (TRANSLATION_BOUND_UPPER_Y - TRANSLATION_BOUND_LOWER_Y) |
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+ TRANSLATION_BOUND_LOWER_Y; |
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let z = rng.random::<f32>() * (TRANSLATION_BOUND_UPPER_Z - TRANSLATION_BOUND_LOWER_Z) |
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+ TRANSLATION_BOUND_LOWER_Z; |
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|
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Vec3::new(x, y, z) |
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} |
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|
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fn random_scale(rng: &mut impl RngExt) -> Vec3 { |
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let x_factor_log = rng.random::<f32>() * (SCALING_BOUND_UPPER_LOG - SCALING_BOUND_LOWER_LOG) |
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+ SCALING_BOUND_LOWER_LOG; |
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let y_factor_log = rng.random::<f32>() * (SCALING_BOUND_UPPER_LOG - SCALING_BOUND_LOWER_LOG) |
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+ SCALING_BOUND_LOWER_LOG; |
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let z_factor_log = rng.random::<f32>() * (SCALING_BOUND_UPPER_LOG - SCALING_BOUND_LOWER_LOG) |
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+ SCALING_BOUND_LOWER_LOG; |
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|
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Vec3::new( |
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ops::exp2(x_factor_log), |
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ops::exp2(y_factor_log), |
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ops::exp2(z_factor_log), |
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) |
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} |
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fn elerp(v1: Vec3, v2: Vec3, t: f32) -> Vec3 { |
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let x_factor_log = (1. - t) * ops::log2(v1.x) + t * ops::log2(v2.x); |
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let y_factor_log = (1. - t) * ops::log2(v1.y) + t * ops::log2(v2.y); |
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let z_factor_log = (1. - t) * ops::log2(v1.z) + t * ops::log2(v2.z); |
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|
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Vec3::new( |
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ops::exp2(x_factor_log), |
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ops::exp2(y_factor_log), |
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ops::exp2(z_factor_log), |
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) |
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} |
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|
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fn random_rotation(rng: &mut impl RngExt) -> Quat { |
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let dir = random_direction(rng); |
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let angle = rng.random::<f32>() * 2. * PI; |
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|
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Quat::from_axis_angle(dir, angle) |
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} |
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|
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fn random_direction(rng: &mut impl RngExt) -> Vec3 { |
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let height = rng.random::<f32>() * 2. - 1.; |
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let theta = rng.random::<f32>() * 2. * PI; |
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|
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build_direction(height, theta) |
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} |
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|
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fn build_direction(height: f32, theta: f32) -> Vec3 { |
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let z = height; |
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let m = ops::sin(ops::acos(z)); |
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let x = ops::cos(theta) * m; |
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let y = ops::sin(theta) * m; |
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|
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Vec3::new(x, y, z) |
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} |
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|
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fn interpolate_transforms(t1: Transform, t2: Transform, t: f32) -> Transform { |
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let translation = t1.translation.lerp(t2.translation, t); |
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let rotation = t1.rotation.slerp(t2.rotation, t); |
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let scale = elerp(t1.scale, t2.scale, t); |
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|
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Transform { |
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translation, |
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rotation, |
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scale, |
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} |
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} |