2022-04-26 18:23:29 +00:00
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//! Provides math types and functionality for the Bevy game engine.
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//!
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//! The commonly used types are vectors like [`Vec2`] and [`Vec3`],
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2022-07-15 22:37:06 +00:00
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//! matrices like [`Mat2`], [`Mat3`] and [`Mat4`] and orientation representations
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2022-04-26 18:23:29 +00:00
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//! like [`Quat`].
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#![warn(missing_docs)]
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2020-07-17 02:23:47 +00:00
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Reduce the size of MeshUniform to improve performance (#9416)
# Objective
- Significantly reduce the size of MeshUniform by only including
necessary data.
## Solution
Local to world, model transforms are affine. This means they only need a
4x3 matrix to represent them.
`MeshUniform` stores the current, and previous model transforms, and the
inverse transpose of the current model transform, all as 4x4 matrices.
Instead we can store the current, and previous model transforms as 4x3
matrices, and we only need the upper-left 3x3 part of the inverse
transpose of the current model transform. This change allows us to
reduce the serialized MeshUniform size from 208 bytes to 144 bytes,
which is over a 30% saving in data to serialize, and VRAM bandwidth and
space.
## Benchmarks
On an M1 Max, running `many_cubes -- sphere`, main is in yellow, this PR
is in red:
<img width="1484" alt="Screenshot 2023-08-11 at 02 36 43"
src="https://github.com/bevyengine/bevy/assets/302146/7d99c7b3-f2bb-4004-a8d0-4c00f755cb0d">
A reduction in frame time of ~14%.
---
## Changelog
- Changed: Redefined `MeshUniform` to improve performance by using 4x3
affine transforms and reconstructing 4x4 matrices in the shader. Helper
functions were added to `bevy_pbr::mesh_functions` to unpack the data.
`affine_to_square` converts the packed 4x3 in 3x4 matrix data to a 4x4
matrix. `mat2x4_f32_to_mat3x3` converts the 3x3 in mat2x4 + f32 matrix
data back into a 3x3.
## Migration Guide
Shader code before:
```
var model = mesh[instance_index].model;
```
Shader code after:
```
#import bevy_pbr::mesh_functions affine_to_square
var model = affine_to_square(mesh[instance_index].model);
```
2023-08-15 06:00:23 +00:00
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mod affine3;
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Add generic cubic splines to `bevy_math` (#7683)
# Objective
- Make cubic splines more flexible and more performant
- Remove the existing spline implementation that is generic over many degrees
- This is a potential performance footgun and adds type complexity for negligible gain.
- Add implementations of:
- Bezier splines
- Cardinal splines (inc. Catmull-Rom)
- B-Splines
- Hermite splines
https://user-images.githubusercontent.com/2632925/221780519-495d1b20-ab46-45b4-92a3-32c46da66034.mp4
https://user-images.githubusercontent.com/2632925/221780524-2b154016-699f-404f-9c18-02092f589b04.mp4
https://user-images.githubusercontent.com/2632925/221780525-f934f99d-9ad4-4999-bae2-75d675f5644f.mp4
## Solution
- Implements the concept that splines are curve generators (e.g. https://youtu.be/jvPPXbo87ds?t=3488) via the `CubicGenerator` trait.
- Common splines are bespoke data types that implement this trait. This gives us flexibility to add custom spline-specific methods on these types, while ultimately all generating a `CubicCurve`.
- All splines generate `CubicCurve`s, which are a chain of precomputed polynomial coefficients. This means that all splines have the same evaluation cost, as the calculations for determining position, velocity, and acceleration are all identical. In addition, `CubicCurve`s are simply a list of `CubicSegment`s, which are evaluated from t=0 to t=1. This also means cubic splines of different type can be chained together, as ultimately they all are simply a collection of `CubicSegment`s.
- Because easing is an operation on a singe segment of a Bezier curve, we can simply implement easing on `Beziers` that use the `Vec2` type for points. Higher level crates such as `bevy_ui` can wrap this in a more ergonomic interface as needed.
### Performance
Measured on a desktop i5 8600K (6-year-old CPU):
- easing: 2.7x faster (19ns)
- cubic vec2 position sample: 1.5x faster (1.8ns)
- cubic vec3 position sample: 1.5x faster (2.6ns)
- cubic vec3a position sample: 1.9x faster (1.4ns)
On a laptop i7 11800H:
- easing: 16ns
- cubic vec2 position sample: 1.6ns
- cubic vec3 position sample: 2.3ns
- cubic vec3a position sample: 1.2ns
---
## Changelog
- Added a generic cubic curve trait, and implementation for Cardinal splines (including Catmull-Rom), B-Splines, Beziers, and Hermite Splines. 2D cubic curve segments also implement easing functionality for animation.
2023-03-03 22:06:42 +00:00
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pub mod cubic_splines;
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Define a basic set of Primitives (#10466)
# Objective
- Implement a subset of
https://github.com/bevyengine/rfcs/blob/main/rfcs/12-primitive-shapes.md#feature-name-primitive-shapes
## Solution
- Define a very basic set of primitives in bevy_math
- Assume a 0,0,0 origin for most shapes
- Use radius and half extents to avoid unnecessary computational
overhead wherever they get used
- Provide both Boxed and const generics variants for shapes with
variable sizes
- Boxed is useful if a 3rd party crate wants to use something like
enum-dispatch for all supported primitives
- Const generics is useful when just working on a single primitive, as
it causes no allocs
#### Some discrepancies from the RFC:
- Box was changed to Cuboid, because Box is already used for an alloc
type
- Skipped Cone because it's unclear where the origin should be for
different uses
- Skipped Wedge because it's too niche for an initial PR (we also don't
implement Torus, Pyramid or a Death Star (there's an SDF for that!))
- Skipped Frustum because while it would be a useful math type, it's not
really a common primitive
- Skipped Triangle3d and Quad3d because those are just rotated 2D shapes
## Future steps
- Add more primitives
- Add helper methods to make primitives easier to construct (especially
when half extents are involved)
- Add methods to calculate AABBs for primitives (useful for physics, BVH
construction, for the mesh AABBs, etc)
- Add wrappers for common and cheap operations, like extruding 2D shapes
and translating them
- Use the primitives to generate meshes
- Provide signed distance functions and gradients for primitives (maybe)
---
## Changelog
- Added a collection of primitives to the bevy_math crate
---------
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
2023-11-15 16:51:03 +00:00
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pub mod primitives;
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2022-10-05 22:16:26 +00:00
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mod ray;
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2023-06-12 19:10:48 +00:00
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mod rects;
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2022-09-02 12:35:23 +00:00
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Reduce the size of MeshUniform to improve performance (#9416)
# Objective
- Significantly reduce the size of MeshUniform by only including
necessary data.
## Solution
Local to world, model transforms are affine. This means they only need a
4x3 matrix to represent them.
`MeshUniform` stores the current, and previous model transforms, and the
inverse transpose of the current model transform, all as 4x4 matrices.
Instead we can store the current, and previous model transforms as 4x3
matrices, and we only need the upper-left 3x3 part of the inverse
transpose of the current model transform. This change allows us to
reduce the serialized MeshUniform size from 208 bytes to 144 bytes,
which is over a 30% saving in data to serialize, and VRAM bandwidth and
space.
## Benchmarks
On an M1 Max, running `many_cubes -- sphere`, main is in yellow, this PR
is in red:
<img width="1484" alt="Screenshot 2023-08-11 at 02 36 43"
src="https://github.com/bevyengine/bevy/assets/302146/7d99c7b3-f2bb-4004-a8d0-4c00f755cb0d">
A reduction in frame time of ~14%.
---
## Changelog
- Changed: Redefined `MeshUniform` to improve performance by using 4x3
affine transforms and reconstructing 4x4 matrices in the shader. Helper
functions were added to `bevy_pbr::mesh_functions` to unpack the data.
`affine_to_square` converts the packed 4x3 in 3x4 matrix data to a 4x4
matrix. `mat2x4_f32_to_mat3x3` converts the 3x3 in mat2x4 + f32 matrix
data back into a 3x3.
## Migration Guide
Shader code before:
```
var model = mesh[instance_index].model;
```
Shader code after:
```
#import bevy_pbr::mesh_functions affine_to_square
var model = affine_to_square(mesh[instance_index].model);
```
2023-08-15 06:00:23 +00:00
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pub use affine3::*;
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Split `Ray` into `Ray2d` and `Ray3d` and simplify plane construction (#10856)
# Objective
A better alternative version of #10843.
Currently, Bevy has a single `Ray` struct for 3D. To allow better
interoperability with Bevy's primitive shapes (#10572) and some third
party crates (that handle e.g. spatial queries), it would be very useful
to have separate versions for 2D and 3D respectively.
## Solution
Separate `Ray` into `Ray2d` and `Ray3d`. These new structs also take
advantage of the new primitives by using `Direction2d`/`Direction3d` for
the direction:
```rust
pub struct Ray2d {
pub origin: Vec2,
pub direction: Direction2d,
}
pub struct Ray3d {
pub origin: Vec3,
pub direction: Direction3d,
}
```
and by using `Plane2d`/`Plane3d` in `intersect_plane`:
```rust
impl Ray2d {
// ...
pub fn intersect_plane(&self, plane_origin: Vec2, plane: Plane2d) -> Option<f32> {
// ...
}
}
```
---
## Changelog
### Added
- `Ray2d` and `Ray3d`
- `Ray2d::new` and `Ray3d::new` constructors
- `Plane2d::new` and `Plane3d::new` constructors
### Removed
- Removed `Ray` in favor of `Ray3d`
### Changed
- `direction` is now a `Direction2d`/`Direction3d` instead of a vector,
which provides guaranteed normalization
- `intersect_plane` now takes a `Plane2d`/`Plane3d` instead of just a
vector for the plane normal
- `Direction2d` and `Direction3d` now derive `Serialize` and
`Deserialize` to preserve ray (de)serialization
## Migration Guide
`Ray` has been renamed to `Ray3d`.
### Ray creation
Before:
```rust
Ray {
origin: Vec3::ZERO,
direction: Vec3::new(0.5, 0.6, 0.2).normalize(),
}
```
After:
```rust
// Option 1:
Ray3d {
origin: Vec3::ZERO,
direction: Direction3d::new(Vec3::new(0.5, 0.6, 0.2)).unwrap(),
}
// Option 2:
Ray3d::new(Vec3::ZERO, Vec3::new(0.5, 0.6, 0.2))
```
### Plane intersections
Before:
```rust
let result = ray.intersect_plane(Vec2::X, Vec2::Y);
```
After:
```rust
let result = ray.intersect_plane(Vec2::X, Plane2d::new(Vec2::Y));
```
2023-12-06 14:09:04 +00:00
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pub use ray::{Ray2d, Ray3d};
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2023-06-12 19:10:48 +00:00
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pub use rects::*;
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2022-09-02 12:35:23 +00:00
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2022-04-26 18:23:29 +00:00
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/// The `bevy_math` prelude.
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2020-07-17 02:23:47 +00:00
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pub mod prelude {
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2022-11-02 20:40:45 +00:00
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#[doc(hidden)]
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2021-01-19 20:56:50 +00:00
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pub use crate::{
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Rename `Bezier` to `CubicBezier` for clarity (#9554)
# Objective
A Bezier curve is a curve defined by two or more control points. In the
simplest form, it's just a line. The (arguably) most common type of
Bezier curve is a cubic Bezier, defined by four control points. These
are often used in animation, etc. Bevy has a Bezier curve struct called
`Bezier`. However, this is technically a misnomer as it only represents
cubic Bezier curves.
## Solution
This PR changes the struct name to `CubicBezier` to more accurately
reflect the struct's usage. Since it's exposed in Bevy's prelude, it can
potentially collide with other `Bezier` implementations. While that
might instead be an argument for removing it from the prelude, there's
also something to be said for adding a more general `Bezier` into Bevy,
in which case we'd likely want to use the name `Bezier`. As a final
motivator, not only is the struct located in `cubic_spines.rs`, there
are also several other spline-related structs which follow the
`CubicXxx` naming convention where applicable. For example,
`CubicSegment` represents a cubic Bezier curve (with coefficients
pre-baked).
---
## Migration Guide
- Change all `Bezier` references to `CubicBezier`
2023-08-28 17:37:42 +00:00
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cubic_splines::{
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2023-10-28 21:53:38 +00:00
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CubicBSpline, CubicBezier, CubicCardinalSpline, CubicGenerator, CubicHermite,
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CubicSegment,
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Rename `Bezier` to `CubicBezier` for clarity (#9554)
# Objective
A Bezier curve is a curve defined by two or more control points. In the
simplest form, it's just a line. The (arguably) most common type of
Bezier curve is a cubic Bezier, defined by four control points. These
are often used in animation, etc. Bevy has a Bezier curve struct called
`Bezier`. However, this is technically a misnomer as it only represents
cubic Bezier curves.
## Solution
This PR changes the struct name to `CubicBezier` to more accurately
reflect the struct's usage. Since it's exposed in Bevy's prelude, it can
potentially collide with other `Bezier` implementations. While that
might instead be an argument for removing it from the prelude, there's
also something to be said for adding a more general `Bezier` into Bevy,
in which case we'd likely want to use the name `Bezier`. As a final
motivator, not only is the struct located in `cubic_spines.rs`, there
are also several other spline-related structs which follow the
`CubicXxx` naming convention where applicable. For example,
`CubicSegment` represents a cubic Bezier curve (with coefficients
pre-baked).
---
## Migration Guide
- Change all `Bezier` references to `CubicBezier`
2023-08-28 17:37:42 +00:00
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},
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Define a basic set of Primitives (#10466)
# Objective
- Implement a subset of
https://github.com/bevyengine/rfcs/blob/main/rfcs/12-primitive-shapes.md#feature-name-primitive-shapes
## Solution
- Define a very basic set of primitives in bevy_math
- Assume a 0,0,0 origin for most shapes
- Use radius and half extents to avoid unnecessary computational
overhead wherever they get used
- Provide both Boxed and const generics variants for shapes with
variable sizes
- Boxed is useful if a 3rd party crate wants to use something like
enum-dispatch for all supported primitives
- Const generics is useful when just working on a single primitive, as
it causes no allocs
#### Some discrepancies from the RFC:
- Box was changed to Cuboid, because Box is already used for an alloc
type
- Skipped Cone because it's unclear where the origin should be for
different uses
- Skipped Wedge because it's too niche for an initial PR (we also don't
implement Torus, Pyramid or a Death Star (there's an SDF for that!))
- Skipped Frustum because while it would be a useful math type, it's not
really a common primitive
- Skipped Triangle3d and Quad3d because those are just rotated 2D shapes
## Future steps
- Add more primitives
- Add helper methods to make primitives easier to construct (especially
when half extents are involved)
- Add methods to calculate AABBs for primitives (useful for physics, BVH
construction, for the mesh AABBs, etc)
- Add wrappers for common and cheap operations, like extruding 2D shapes
and translating them
- Use the primitives to generate meshes
- Provide signed distance functions and gradients for primitives (maybe)
---
## Changelog
- Added a collection of primitives to the bevy_math crate
---------
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
2023-11-15 16:51:03 +00:00
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primitives, BVec2, BVec3, BVec4, EulerRot, IRect, IVec2, IVec3, IVec4, Mat2, Mat3, Mat4,
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Split `Ray` into `Ray2d` and `Ray3d` and simplify plane construction (#10856)
# Objective
A better alternative version of #10843.
Currently, Bevy has a single `Ray` struct for 3D. To allow better
interoperability with Bevy's primitive shapes (#10572) and some third
party crates (that handle e.g. spatial queries), it would be very useful
to have separate versions for 2D and 3D respectively.
## Solution
Separate `Ray` into `Ray2d` and `Ray3d`. These new structs also take
advantage of the new primitives by using `Direction2d`/`Direction3d` for
the direction:
```rust
pub struct Ray2d {
pub origin: Vec2,
pub direction: Direction2d,
}
pub struct Ray3d {
pub origin: Vec3,
pub direction: Direction3d,
}
```
and by using `Plane2d`/`Plane3d` in `intersect_plane`:
```rust
impl Ray2d {
// ...
pub fn intersect_plane(&self, plane_origin: Vec2, plane: Plane2d) -> Option<f32> {
// ...
}
}
```
---
## Changelog
### Added
- `Ray2d` and `Ray3d`
- `Ray2d::new` and `Ray3d::new` constructors
- `Plane2d::new` and `Plane3d::new` constructors
### Removed
- Removed `Ray` in favor of `Ray3d`
### Changed
- `direction` is now a `Direction2d`/`Direction3d` instead of a vector,
which provides guaranteed normalization
- `intersect_plane` now takes a `Plane2d`/`Plane3d` instead of just a
vector for the plane normal
- `Direction2d` and `Direction3d` now derive `Serialize` and
`Deserialize` to preserve ray (de)serialization
## Migration Guide
`Ray` has been renamed to `Ray3d`.
### Ray creation
Before:
```rust
Ray {
origin: Vec3::ZERO,
direction: Vec3::new(0.5, 0.6, 0.2).normalize(),
}
```
After:
```rust
// Option 1:
Ray3d {
origin: Vec3::ZERO,
direction: Direction3d::new(Vec3::new(0.5, 0.6, 0.2)).unwrap(),
}
// Option 2:
Ray3d::new(Vec3::ZERO, Vec3::new(0.5, 0.6, 0.2))
```
### Plane intersections
Before:
```rust
let result = ray.intersect_plane(Vec2::X, Vec2::Y);
```
After:
```rust
let result = ray.intersect_plane(Vec2::X, Plane2d::new(Vec2::Y));
```
2023-12-06 14:09:04 +00:00
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Quat, Ray2d, Ray3d, Rect, URect, UVec2, UVec3, UVec4, Vec2, Vec2Swizzles, Vec3,
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Vec3Swizzles, Vec4, Vec4Swizzles,
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2021-01-19 20:56:50 +00:00
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};
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2020-07-17 02:23:47 +00:00
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}
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2022-04-26 18:23:29 +00:00
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pub use glam::*;
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