# Objective
- For curves that also include derivatives, make accessing derivative
information via the `Curve` API ergonomic: that is, provide access to a
curve that also samples derivative information.
- Implement this functionality for cubic spline curves provided by
`bevy_math`.
Ultimately, this is to serve the purpose of doing more geometric
operations on curves, like reparametrization by arclength and the
construction of moving frames.
## Solution
This has several parts, some of which may seem redundant. However, care
has been put into this to satisfy the following constraints:
- Accessing a `Curve` that samples derivative information should be not
just possible but easy and non-error-prone. For example, given a
differentiable `Curve<Vec2>`, one should be able to access something
like a `Curve<(Vec2, Vec2)>` ergonomically, and not just sample the
derivatives piecemeal from point to point.
- Derivative access should not step on the toes of ordinary curve usage.
In particular, in the above scenario, we want to avoid simply making the
same curve both a `Curve<Vec2>` and a `Curve<(Vec2, Vec2)>` because this
requires manual disambiguation when the API is used.
- Derivative access must work gracefully in both owned and borrowed
contexts.
### `HasTangent`
We introduce a trait `HasTangent` that provides an associated `Tangent`
type for types that have tangent spaces:
```rust
pub trait HasTangent {
/// The tangent type.
type Tangent: VectorSpace;
}
```
(Mathematically speaking, it would be more precise to say that these are
types that represent spaces which are canonically
[parallelized](https://en.wikipedia.org/wiki/Parallelizable_manifold). )
The idea here is that a point moving through a `HasTangent` type may
have a derivative valued in the associated `Tangent` type at each time
in its journey. We reify this with a `WithDerivative<T>` type that uses
`HasTangent` to include derivative information:
```rust
pub struct WithDerivative<T>
where
T: HasTangent,
{
/// The underlying value.
pub value: T,
/// The derivative at `value`.
pub derivative: T::Tangent,
}
```
And we can play the same game with second derivatives as well, since
every `VectorSpace` type is `HasTangent` where `Tangent` is itself (we
may want to be more restrictive with this in practice, but this holds
mathematically).
```rust
pub struct WithTwoDerivatives<T>
where
T: HasTangent,
{
/// The underlying value.
pub value: T,
/// The derivative at `value`.
pub derivative: T::Tangent,
/// The second derivative at `value`.
pub second_derivative: <T::Tangent as HasTangent>::Tangent,
}
```
In this PR, `HasTangent` is only implemented for `VectorSpace` types,
but it would be valuable to have this implementation for types like
`Rot2` and `Quat` as well. We could also do it for the isometry types
and, potentially, transforms as well. (This is in decreasing order of
value in my opinion.)
### `CurveWithDerivative`
This is a trait for a `Curve<T>` which allows the construction of a
`Curve<WithDerivative<T>>` when derivative information is known
intrinsically. It looks like this:
```rust
/// Trait for curves that have a well-defined notion of derivative, allowing for
/// derivatives to be extracted along with values.
pub trait CurveWithDerivative<T>
where
T: HasTangent,
{
/// This curve, but with its first derivative included in sampling.
fn with_derivative(self) -> impl Curve<WithDerivative<T>>;
}
```
The idea here is to provide patterns like this:
```rust
let value_and_derivative = my_curve.with_derivative().sample_clamped(t);
```
One of the main points here is that `Curve<WithDerivative<T>>` is useful
as an output because it can be used durably. For example, in a dynamic
context, something that needs curves with derivatives can store
something like a `Box<dyn Curve<WithDerivative<T>>>`. Note that
`CurveWithDerivative` is not dyn-compatible.
### `SampleDerivative`
Many curves "know" how to sample their derivatives instrinsically, but
implementing `CurveWithDerivative` as given would be onerous or require
an annoying amount of boilerplate. There are also hurdles to overcome
that involve references to curves: for the `Curve` API, the expectation
is that curve transformations like `with_derivative` take things by
value, with the contract that they can still be used by reference
through deref-magic by including `by_ref` in a method chain.
These problems are solved simultaneously by a trait `SampleDerivative`
which, when implemented, automatically derives `CurveWithDerivative` for
a type and all types that dereference to it. It just looks like this:
```rust
pub trait SampleDerivative<T>: Curve<T>
where
T: HasTangent,
{
fn sample_with_derivative_unchecked(&self, t: f32) -> WithDerivative<T>;
// ... other sampling variants as default methods
}
```
The point is that the output of `with_derivative` is a
`Curve<WithDerivative<T>>` that uses the `SampleDerivative`
implementation. On a `SampleDerivative` type, you can also just call
`my_curve.sample_with_derivative(t)` instead of something like
`my_curve.by_ref().with_derivative().sample(t)`, which is more verbose
and less accessible.
In practice, `CurveWithDerivative<T>` is actually a "sealed" extension
trait of `SampleDerivative<T>`.
## Adaptors
`SampleDerivative` has automatic implementations on all curve adaptors
except for `FunctionCurve`, `MapCurve`, and `ReparamCurve` (because we
do not have a notion of differentiable Rust functions).
For example, `CurveReparamCurve` (the reparametrization of a curve by
another curve) can compute derivatives using the chain rule in the case
both its constituents have them.
## Testing
Tests for derivatives on the curve adaptors are included.
---
## Showcase
This development allows derivative information to be included with and
extracted from curves using the `Curve` API.
```rust
let points = [
vec2(-1.0, -20.0),
vec2(3.0, 2.0),
vec2(5.0, 3.0),
vec2(9.0, 8.0),
];
// A cubic spline curve that goes through `points`.
let curve = CubicCardinalSpline::new(0.3, points).to_curve().unwrap();
// Calling `with_derivative` causes derivative output to be included in the output of the curve API.
let curve_with_derivative = curve.with_derivative();
// A `Curve<f32>` that outputs the speed of the original.
let speed_curve = curve_with_derivative.map(|x| x.derivative.norm());
```
---
## Questions
- ~~Maybe we should seal `WithDerivative` or make it require
`SampleDerivative` (i.e. make it unimplementable except through
`SampleDerivative`).~~ I decided this is a good idea.
- ~~Unclear whether `VectorSpace: HasTangent` blanket implementation is
really appropriate. For colors, for example, I'm not sure that the
derivative values can really be interpreted as a color. In any case, it
should still remain the case that `VectorSpace` types are `HasTangent`
and that `HasTangent::Tangent: HasTangent`.~~ I think this is fine.
- Infinity bikeshed on names of traits and things.
## Future
- Faster implementations of `SampleDerivative` for cubic spline curves.
- Improve ergonomics for accessing only derivatives (and other kinds of
transformations on derivative curves).
- Implement `HasTangent` for:
- `Rot2`/`Quat`
- `Isometry` types
- `Transform`, maybe
- Implement derivatives for easing curves.
- Marker traits for continuous/differentiable curves. (It's actually
unclear to me how much value this has in practice, but we have discussed
it in the past.)
---------
Co-authored-by: Alice Cecile <alice.i.cecile@gmail.com>
CI was failing because `bevy_math` no longer compiled with `libcore`.
This was due to PR #15981. This commit fixes the issue by moving the
applicable functionality behind `#[cfg(feature = "alloc")]`.
# Objective
The parameter names for `bevy::math::ops::atan2` are labelled such that
`x` is the first argument and `y` is the second argument, but it passes
those arguments directly to
[`f32::atan2`](https://doc.rust-lang.org/stable/std/primitive.f32.html#method.atan2),
whose parameters are expected to be `(y, x)`. This PR changes the
parameter names in the bevy documentation to use the correct order for
the operation being performed. You can verify this by doing:
```rust
fn main() {
let x = 3.0;
let y = 4.0;
let angle = bevy::math::ops::atan2(x, y);
// standard polar coordinates formula
dbg!(5.0 * angle.cos(), 5.0 * angle.sin());
}
```
This will print `(4.0, 3.0)`, which has flipped `x` and `y`. The problem
is that the `atan2` function to calculate the angle was really expecting
`(y, x)`, not `(x, y)`.
## Solution
I flipped the parameter names for `bevy::math::ops::atan2` and updated
the documentation. I also removed references to `self` and `other` from
the documentation which seemed to be copied from the `f32::atan2`
documentation.
## Testing
Not really needed, you can compare the `f32::atan2` docs to the
`bevy::math::ops::atan2` docs to see the problem is obvious. If a test
is required I could add a short one.
## Migration Guide
I'm not sure if this counts as a breaking change, since the
implementation clearly meant to use `f32::atan2` directly, so it was
really just the parameter names that were wrong.
# Objective
- This PR adds the ability to determine whether a `Polygon<N>` or
`BoxedPolygon` is simple (aka. not self-intersecting) by calling
`my_polygon.is_simple()`.
- This may be useful information for users to determine whether their
polygons are 'valid' and will be useful when adding meshing for
polygons.
- As such this is a step towards fixing #15255
## Solution
- Implemented the Shamos-Hoey algorithm in its own module `polygon`.
## Testing
- Tests are included, and can be verified visually.
---
## Performance
- The Shamos-Hoey algorithm runs in O(n * log n)
- In reality, the results look more linear to me.
- Determining simplicity for a simple polygon (the worst case) with less
than 100 vertices takes less than 0.2ms.
# Objective
Fixes#16610, related to #16702
## Solution
Upgrade typos and its configuration
## Testing
- Did you test these changes? If so, how? No
- Are there any parts that need more testing? No
- How can other people (reviewers) test your changes? Is there anything
specific they need to know? No
- If relevant, what platforms did you test these changes on, and are
there any important ones you can't test? Not applicable
# Objective
Fixes typos in bevy project, following suggestion in
https://github.com/bevyengine/bevy-website/pull/1912#pullrequestreview-2483499337
## Solution
I used https://github.com/crate-ci/typos to find them.
I included only the ones that feel undebatable too me, but I am not in
game engine so maybe some terms are expected.
I left out the following typos:
- `reparametrize` => `reparameterize`: There are a lot of occurences, I
believe this was expected
- `semicircles` => `hemicircles`: 2 occurences, may mean something
specific in geometry
- `invertation` => `inversion`: may mean something specific
- `unparented` => `parentless`: may mean something specific
- `metalness` => `metallicity`: may mean something specific
## Testing
- Did you test these changes? If so, how? I did not test the changes,
most changes are related to raw text. I expect the others to be tested
by the CI.
- Are there any parts that need more testing? I do not think
- How can other people (reviewers) test your changes? Is there anything
specific they need to know? To me there is nothing to test
- If relevant, what platforms did you test these changes on, and are
there any important ones you can't test?
---
## Migration Guide
> This section is optional. If there are no breaking changes, you can
delete this section.
(kept in case I include the `reparameterize` change here)
- If this PR is a breaking change (relative to the last release of
Bevy), describe how a user might need to migrate their code to support
these changes
- Simply adding new functionality is not a breaking change.
- Fixing behavior that was definitely a bug, rather than a questionable
design choice is not a breaking change.
## Questions
- [x] Should I include the above typos? No
(https://github.com/bevyengine/bevy/pull/16702#issuecomment-2525271152)
- [ ] Should I add `typos` to the CI? (I will check how to configure it
properly)
This project looks awesome, I really enjoy reading the progress made,
thanks to everyone involved.
# Objective
- Remove `derive_more`'s error derivation and replace it with
`thiserror`
## Solution
- Added `derive_more`'s `error` feature to `deny.toml` to prevent it
sneaking back in.
- Reverted to `thiserror` error derivation
## Notes
Merge conflicts were too numerous to revert the individual changes, so
this reversion was done manually. Please scrutinise carefully during
review.
# Objective
This was always a bit weird; `IntoIterator` is considered more idiomatic
in Rust.
The reason these used `Into<Vec<..>>` in the first place was (to my
knowledge) because of concerns that passing an already-owned vector
would cause a redundant allocation if the iterator API was used instead.
However, I have looked at simple examples for this scenario and the
generated assembly is identical (i.e. `into_iter().collect()` is
effectively converted to a no-op).
## Solution
As described in the title.
## Testing
It compiles. Ran existing tests.
## Migration Guide
The cubic splines API now uses `IntoIterator` in places where it used
`Into<Vec<..>>`. For most users, this will have little to no effect (it
is largely more permissive). However, in case you were using some
unusual input type that implements `Into<Vec<..>>` without implementing
`IntoIterator`, you can migrate by converting the input to a `Vec<..>`
before passing it into the interface.
# Objective
- Contributes to #15460
## Solution
- Added two new features, `std` (default) and `alloc`, gating `std` and
`alloc` behind them respectively.
- Added missing `f32` functions to `std_ops` as required. These `f32`
methods have been added to the `clippy.toml` deny list to aid in
`no_std` development.
## Testing
- CI
- `cargo clippy -p bevy_math --no-default-features --features libm
--target "x86_64-unknown-none"`
- `cargo test -p bevy_math --no-default-features --features libm`
- `cargo test -p bevy_math --no-default-features --features "libm,
alloc"`
- `cargo test -p bevy_math --no-default-features --features "libm,
alloc, std"`
- `cargo test -p bevy_math --no-default-features --features "std"`
## Notes
The following items require the `alloc` feature to be enabled:
- `CubicBSpline`
- `CubicBezier`
- `CubicCardinalSpline`
- `CubicCurve`
- `CubicGenerator`
- `CubicHermite`
- `CubicNurbs`
- `CyclicCubicGenerator`
- `RationalCurve`
- `RationalGenerator`
- `BoxedPolygon`
- `BoxedPolyline2d`
- `BoxedPolyline3d`
- `SampleCurve`
- `SampleAutoCurve`
- `UnevenSampleCurve`
- `UnevenSampleAutoCurve`
- `EvenCore`
- `UnevenCore`
- `ChunkedUnevenCore`
This requirement could be relaxed in certain cases, but I had erred on
the side of gating rather than modifying. Since `no_std` is a new set of
platforms we are adding support to, and the `alloc` feature is enabled
by default, this is not a breaking change.
---------
Co-authored-by: Benjamin Brienen <benjamin.brienen@outlook.com>
Co-authored-by: Matty <2975848+mweatherley@users.noreply.github.com>
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
# Objective
MSRV in the standalone crates should be accurate
## Solution
Determine the msrv of each crate and set it
## Testing
Adding better msrv checks to the CI is a next-step.
# Objective
We currently use special "floating" constructors for `EasingCurve`,
`FunctionCurve`, and `ConstantCurve` (ex: `easing_curve`). This erases
the type being created (and in general "what is happening"
structurally), for very minimal ergonomics improvements. With rare
exceptions, we prefer normal `X::new()` constructors over floating `x()`
constructors in Bevy. I don't think this use case merits special casing
here.
## Solution
Add `EasingCurve::new()`, use normal constructors everywhere, and remove
the floating constructors.
I think this should land in 0.15 in the interest of not breaking people
later.
# Objective
Glam has some common and useful types and helpers that are not in the
prelude of `bevy_math`. This includes shorthand constructors like
`vec3`, or even `Vec3A`, the aligned version of `Vec3`.
```rust
// The "normal" way to create a 3D vector
let vec = Vec3::new(2.0, 1.0, -3.0);
// Shorthand version
let vec = vec3(2.0, 1.0, -3.0);
```
## Solution
Add the following types and methods to the prelude:
- `vec2`, `vec3`, `vec3a`, `vec4`
- `uvec2`, `uvec3`, `uvec4`
- `ivec2`, `ivec3`, `ivec4`
- `bvec2`, `bvec3`, `bvec3a`, `bvec4`, `bvec4a`
- `mat2`, `mat3`, `mat3a`, `mat4`
- `quat` (not sure if anyone uses this, but for consistency)
- `Vec3A`
- `BVec3A`, `BVec4A`
- `Mat3A`
I did not add the u16, i16, or f64 variants like `dvec2`, since there
are currently no existing types like those in the prelude.
The shorthand constructors are currently used a lot in some places in
Bevy, and not at all in others. In a follow-up, we might want to
consider if we have a preference for the shorthand, and make a PR to
change the codebase to use it more consistently.
# Objective
`glam` has opted to rename `Vec2::angle_between` to `Vec2::angle_to`
because of the difference in semantics compared to `Vec3::angle_between`
and others which return an unsigned angle `[0, PI]` where
`Vec2::angle_between` returns a signed angle `[-PI, PI]`.
We should follow suit for `Rot2` in 0.15 to avoid further confusion.
Links:
-
https://github.com/bitshifter/glam-rs/issues/514#issuecomment-2143202294
- https://github.com/bitshifter/glam-rs/pull/524
## Migration Guide
`Rot2::angle_between` has been deprecated, use `Rot2::angle_to` instead,
the semantics of `Rot2::angle_between` will change in the future.
---------
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
# Objective
- `CircularSegment` and `CircularSector` are well defined 2D shapes with
both an area and a perimeter.
# Solution
- This PR implements `perimeter` for both and moves the existsing `area`
functions into the `Measured2d` implementations.
## Testing
- The `arc_tests` have been extended to also check for perimeters.
# Objective
Bevy seems to want to standardize on "American English" spellings. Not
sure if this is laid out anywhere in writing, but see also #15947.
While perusing the docs for `typos`, I noticed that it has a `locale`
config option and tried it out.
## Solution
Switch to `en-us` locale in the `typos` config and run `typos -w`
## Migration Guide
The following methods or fields have been renamed from `*dependants*` to
`*dependents*`.
- `ProcessorAssetInfo::dependants`
- `ProcessorAssetInfos::add_dependant`
- `ProcessorAssetInfos::non_existent_dependants`
- `AssetInfo::dependants_waiting_on_load`
- `AssetInfo::dependants_waiting_on_recursive_dep_load`
- `AssetInfos::loader_dependants`
- `AssetInfos::remove_dependants_and_labels`
# Objective
- Fixes#15963
## Solution
- Implement `TryFrom<Polygon<N> for ConvexPolygon<N>`
- Implement `From<ConvexPolygon<N>> for Polygon<N>`
- Remove `pub` from `vertices`
- Add `ConvexPolygon::vertices()` to get read only access to the
vertices of a convex polygon.
# Objective
Make `StableInterpolate` "just work" on tuples whose parts are each
`StableInterpolate` types. These types arise notably through
`Curve::zip` (or just through explicit mapping of a similar form). It
would otherwise be kind of frustrating to stumble upon such a thing and
then realize that, e.g., automatic resampling just doesn't work, even
though there is a very "obvious" way to do it.
## Solution
Infer `StableInterpolate` on tuples of up to size 11. I can make that
number bigger, if desired. Unfortunately, I don't think that our
standard "fake variadics" tools actually work for this; the anonymous
field accessors of tuples are `:tt` for purposes of macro expansion,
which means that you can't simplify away the identifiers by doing
something clever like using recursion (which would work if they were
`:expr`). Maybe someone who knows some incredibly dark magic could chime
in with a better solution.
The expanded impls look like this:
```rust
impl<
T0: StableInterpolate,
T1: StableInterpolate,
T2: StableInterpolate,
T3: StableInterpolate,
T4: StableInterpolate,
> StableInterpolate for (T0, T1, T2, T3, T4)
{
fn interpolate_stable(&self, other: &Self, t: f32) -> Self {
(
<T0 as StableInterpolate>::interpolate_stable(&self.0, &other.0, t),
<T1 as StableInterpolate>::interpolate_stable(&self.1, &other.1, t),
<T2 as StableInterpolate>::interpolate_stable(&self.2, &other.2, t),
<T3 as StableInterpolate>::interpolate_stable(&self.3, &other.3, t),
<T4 as StableInterpolate>::interpolate_stable(&self.4, &other.4, t),
)
}
}
```
## Testing
Expanded macros; it compiles.
## Future
Make a version of the fake variadics workflow that supports this kind of
thing.
# Objective
Improve the average user's ability to understand what the heck is going
on with the Curve API.
## Solution
I wrote some docs. I doubt these are perfect; I'm probably far too close
to this for that to be the case. :)
# Objective
The previous `PhantomData` instances were written somewhat lazily, so
they were just things like `PhantomData<T>` for curves with an output
type of `T`. This looks innocuous, but it unnecessarily constrains
`Send/Sync` inference based on `T`. See
[here](https://doc.rust-lang.org/nomicon/phantom-data.html#table-of-phantomdata-patterns).
## Solution
Switch to `PhantomData` of the form `PhantomData<fn() -> T>` for most of
these adaptors. Since they only have a functional relationship to `T`
(i.e. it shows up in the return type of trait methods), this is more
accurate.
## Testing
Tested by compiling Bevy.
Co-authored-by: François Mockers <mockersf@gmail.com>
# Objective
A bunch of code is used only if you care about the `Curve` trait. Put it
behind a feature so it can be ignored if wanted.
## Solution
Added a default feature `curve` to `bevy_math` which feature-gates the
`curve` module and internal integrations.
## Testing
Tested compiling with the feature enabled and disabled.
# Objective
- `interpolation` crates provides all the curves functions, but some of
them were wrong
- We have a partial solution where some functions comes from the
external crate, some from bevy_math
## Solution
- Move them all to bevy_math
- Remove the dependency on `interpolation`
## Testing
Playing the `easing_functions` example
# Objective
Simplify the API surrounding easing curves. Broaden the base of types
that support easing.
## Solution
There is now a single library function, `easing_curve`, which constructs
a unit-parametrized easing curve between two values based on an
`EaseFunction`:
```rust
/// Given a `start` and `end` value, create a curve parametrized over [the unit interval]
/// that connects them, using the given [ease function] to determine the form of the
/// curve in between.
///
/// [the unit interval]: Interval::UNIT
/// [ease function]: EaseFunction
pub fn easing_curve<T: Ease>(start: T, end: T, ease_fn: EaseFunction) -> EasingCurve<T> { //... }
```
As this shows, the type of the output curve is generic only in `T`. In
particular, as long as `T` is `Reflect` (and `FromReflect` etc. — i.e.,
a standard "well-behaved" reflectable type), `EasingCurve<T>` is also
`Reflect`, and there is no special field handling nonsense. Therefore,
`EasingCurve` is the kind of thing that would be able to be easily
changed in an editor. This is made possible by storing the actual
`EaseFunction` on `EasingCurve<T>` instead of indirecting through some
kind of function type (which generally leads to issues with reflection).
The types that can be eased are those that implement a trait `Ease`:
```rust
/// A type whose values can be eased between.
///
/// This requires the construction of an interpolation curve that actually extends
/// beyond the curve segment that connects two values, because an easing curve may
/// extrapolate before the starting value and after the ending value. This is
/// especially common in easing functions that mimic elastic or springlike behavior.
pub trait Ease: Sized {
/// Given `start` and `end` values, produce a curve with [unlimited domain]
/// that:
/// - takes a value equivalent to `start` at `t = 0`
/// - takes a value equivalent to `end` at `t = 1`
/// - has constant speed everywhere, including outside of `[0, 1]`
///
/// [unlimited domain]: Interval::EVERYWHERE
fn interpolating_curve_unbounded(start: &Self, end: &Self) -> impl Curve<Self>;
}
```
(I know, I know, yet *another* interpolation trait. See 'Future
direction'.)
The other existing easing functions from the previous version of this
module have also become new members of `EaseFunction`: `Linear`,
`Steps`, and `Elastic` (which maybe needs a different name). The latter
two are parametrized.
## Testing
Tested using the `easing_functions` example. I also axed the
`cubic_curve` example which was of questionable value and replaced it
with `eased_motion`, which uses this API in the context of animation:
https://github.com/user-attachments/assets/3c802992-6b9b-4b56-aeb1-a47501c29ce2
---
## Future direction
Morally speaking, `Ease` is incredibly similar to `StableInterpolate`.
Probably, we should just merge `StableInterpolate` into `Ease`, and then
make `SmoothNudge` an automatic extension trait of `Ease`. The reason I
didn't do that is that `StableInterpolate` is not implemented for
`VectorSpace` because of concerns about the `Color` types, and I wanted
to avoid controversy. I think that may be a good idea though.
As Alice mentioned before, we should also probably get rid of the
`interpolation` dependency.
The parametrized `Elastic` variant probably also needs some additional
work (e.g. renaming, in/out/in-out variants, etc.) if we want to keep
it.
# Objective
The `new` constructors for our ray types currently take a `Vec2`/`Vec3`
instead of a `Dir2`/`Dir3`. This is confusing and footgunny for several
reasons.
- Which one of these is the direction? You can't see it from the type.
```rust
let ray = Ray2d::new(Vec2::X, Vec2::X);
```
- Many engines allow unnormalized rays, and this can affect ray cast
results by scaling the time of impact. However, in Bevy, rays are
*always* normalized despite what the input argument in this case
implies, and ray cast results are *not* scaled.
```rust
// The true ray direction is still normalized, unlike what you'd expect.
let ray = Ray2d::new(Vec2::X, Vec2::new(5.0, 0.0, 0.0)));
```
These cases are what the direction types are intended for, and we should
use them as such.
## Solution
Use `Dir2`/`Dir3` in the constructors.
```rust
let ray = Ray2d::new(Vec2::X, Dir2::X);
```
We *could* also use `impl TryInto<DirN>`, which would allow both vectors
and direction types, and then panic if the input is not normalized. This
could be fine for ergonomics in some cases, but especially for rays, I
think it's better to take an explicit direction type here.
---
## Migration Guide
`Ray2d::new` and `Ray3d::new` now take a `Dir2` and `Dir3` instead of
`Vec2` and `Vec3` respectively for the ray direction.
# Objective
Several of our APIs (namely gizmos and bounding) use isometries on
current Bevy main. This is nicer than separate properties in a lot of
cases, but users have still expressed usability concerns.
One problem is that in a lot of cases, you only care about e.g.
translation, so you end up with this:
```rust
gizmos.cross_2d(
Isometry2d::from_translation(Vec2::new(-160.0, 120.0)),
12.0,
FUCHSIA,
);
```
The isometry adds quite a lot of length and verbosity, and isn't really
that relevant since only the translation is important here.
It would be nice if you could use the translation directly, and only
supply an isometry if both translation and rotation are needed. This
would make the following possible:
```rust
gizmos.cross_2d(Vec2::new(-160.0, 120.0), 12.0, FUCHSIA);
```
removing a lot of verbosity.
## Solution
Implement `From<Vec2>` and `From<Rot2>` for `Isometry2d`, and
`From<Vec3>`, `From<Vec3A>`, and `From<Quat>` for `Isometry3d`. These
are lossless conversions that fit the semantics of `From`.
This makes the proposed API possible! The methods must now simply take
an `impl Into<IsometryNd>`, and this works:
```rust
gizmos.cross_2d(Vec2::new(-160.0, 120.0), 12.0, FUCHSIA);
```
# Objective
- As discussed on
[Discord](https://discord.com/channels/691052431525675048/1203087353850364004/1285300659746246849),
implement a `ConvexPolygon` 2D math primitive and associated mesh
builder.
- The original goal was to have a mesh builder for the simplest (i.e.
convex) polygons.
## Solution
- The `ConvexPolygon` is created from its vertices.
- The convexity of the polygon is checked when created via `new()` by
verifying that the winding order of all the triangles formed with
adjacent vertices is the same.
- The `ConvexPolygonMeshBuilder` uses an anchor vertex and goes through
every adjacent pair of vertices in the polygon to form triangles that
fill up the polygon.
## Testing
- Tested locally with my own simple `ConvexPolygonMeshBuilder` usage.
# Objective
Allow curve adaptors to be reliably `Reflect` even if the curves they
hold are not `FromReflect`. This allows them, for example, to be used in
`bevy_animation`. I previously addressed this with the functional
adaptors, but I forgot to address this in the case of fields that hold
other curves and not arbitrary functions.
## Solution
Do the following on every curve adaptor that holds another curve:
```rust
// old:
#[derive(Reflect)]
```
```rust
// new:
#[derive(Reflect, FromReflect)]
#[reflect(from_reflect = false)]
```
This looks inane, but it's necessary because the default
`#[derive(Reflect)]` macro places `FromReflect` bounds on everything. To
avoid this, we opt out of deriving `FromReflect` with that macro by
adding `#[reflect(from_reflect = false)]`, then separately derive
`FromReflect`. (Of course, the latter still has the `FromReflect`
bounds, which is fine.)
# Objective
- Followup for #14788
- Support most usual ease function
## Solution
- Use the crate
[`interpolation`](https://docs.rs/interpolation/0.3.0/interpolation/trait.Ease.html)
which has them all
- it's already used by bevy_easings, bevy_tweening, be_tween,
bevy_tweening_captured, bevy_enoki, kayak_ui in the Bevy ecosystem for
various easing/tweening/interpolation
# Objective
Currently, sample-interpolated curves (such as those used by the glTF
loader for animations) do unnecessary extra work when `sample_clamped`
is called, since their implementations of `sample_unchecked` are already
clamped. Eliminating this redundant sampling is a small, easy
performance win which doesn't compromise on the animation system's
internal usage of `sample_clamped`, which guarantees that it never
samples curves out-of-bounds.
## Solution
For sample-interpolated curves, define `sample_clamped` in the way
`sample_unchecked` is currently defined, and then redirect
`sample_unchecked` to `sample_clamped`. This is arguably a more
idiomatic way of using the `cores` as well, which is nice.
## Testing
Ran `many_foxes` to make sure I didn't break anything.
# Objective
Citing @mweatherley
> There is a lot of shortfall for simple cases— e.g., we should have
library functions for making a curve connecting two points, eased
versions of that, and so on.
## Solution
This PR implements
- a simple `Easing` trait which is implemented for all `impl Curve<f32>`
types. We can't really guarantee that these curves have unit interval
domain, which some people would probably expect, but it is documented
that this isn't the case for these types and we redirect to
`EasingCurve` which is used for that purpose
- an `EasingCurve` struct, which is used to interpolate between two
values `start` and `end` using a `impl Easing` curve where the curve
will be guaranteed to be reparametrized
- a `LinearCurve` which linearly interpolates between two values `start`
and `end`
- a `CubicBezierCurve` which interpolates between `start` and `end`
values using a `CubicSegment`
- a `StepCurve` which interpolates between `start` and `end` with an
step-function with `n` steps
- an `ElasticCurve` which interpolates between `start` and `end` with
spring like behavior where the elasticity of the spring is configurable
- some `FunctionCurve` easing curves for different popular functions
including: `quadratic_ease_in`, `quadratic_ease_out`, `smoothstep`,
`identity`
## Testing
- there are a few new tests for all of these in the main module
---------
Co-authored-by: eckz <567737+eckz@users.noreply.github.com>
Co-authored-by: Miles Silberling-Cook <NthTensor@users.noreply.github.com>
Co-authored-by: Alice Cecile <alice.i.cecile@gmail.com>
Co-authored-by: Matty <weatherleymatthew@gmail.com>
# Objective
This PR extends and reworks the material from #15282 by allowing
arbitrary curves to be used by the animation system to animate arbitrary
properties. The goals of this work are to:
- Allow far greater flexibility in how animations are allowed to be
defined in order to be used with `bevy_animation`.
- Delegate responsibility over keyframe interpolation to `bevy_math` and
the `Curve` libraries and reduce reliance on keyframes in animation
definitions generally.
- Move away from allowing the glTF spec to completely define animations
on a mechanical level.
## Solution
### Overview
At a high level, curves have been incorporated into the animation system
using the `AnimationCurve` trait (closely related to what was
`Keyframes`). From the top down:
1. In `animate_targets`, animations are driven by `VariableCurve`, which
is now a thin wrapper around a `Box<dyn AnimationCurve>`.
2. `AnimationCurve` is something built out of a `Curve`, and it tells
the animation system how to use the curve's output to actually mutate
component properties. The trait looks like this:
```rust
/// A low-level trait that provides control over how curves are actually applied to entities
/// by the animation system.
///
/// Typically, this will not need to be implemented manually, since it is automatically
/// implemented by [`AnimatableCurve`] and other curves used by the animation system
/// (e.g. those that animate parts of transforms or morph weights). However, this can be
/// implemented manually when `AnimatableCurve` is not sufficiently expressive.
///
/// In many respects, this behaves like a type-erased form of [`Curve`], where the output
/// type of the curve is remembered only in the components that are mutated in the
/// implementation of [`apply`].
///
/// [`apply`]: AnimationCurve::apply
pub trait AnimationCurve: Reflect + Debug + Send + Sync {
/// Returns a boxed clone of this value.
fn clone_value(&self) -> Box<dyn AnimationCurve>;
/// The range of times for which this animation is defined.
fn domain(&self) -> Interval;
/// Write the value of sampling this curve at time `t` into `transform` or `entity`,
/// as appropriate, interpolating between the existing value and the sampled value
/// using the given `weight`.
fn apply<'a>(
&self,
t: f32,
transform: Option<Mut<'a, Transform>>,
entity: EntityMutExcept<'a, (Transform, AnimationPlayer, Handle<AnimationGraph>)>,
weight: f32,
) -> Result<(), AnimationEvaluationError>;
}
```
3. The conversion process from a `Curve` to an `AnimationCurve` involves
using wrappers which communicate the intent to animate a particular
property. For example, here is `TranslationCurve`, which wraps a
`Curve<Vec3>` and uses it to animate `Transform::translation`:
```rust
/// This type allows a curve valued in `Vec3` to become an [`AnimationCurve`] that animates
/// the translation component of a transform.
pub struct TranslationCurve<C>(pub C);
```
### Animatable Properties
The `AnimatableProperty` trait survives in the transition, and it can be
used to allow curves to animate arbitrary component properties. The
updated documentation for `AnimatableProperty` explains this process:
<details>
<summary>Expand AnimatableProperty example</summary
An `AnimatableProperty` is a value on a component that Bevy can animate.
You can implement this trait on a unit struct in order to support
animating
custom components other than transforms and morph weights. Use that type
in
conjunction with `AnimatableCurve` (and perhaps
`AnimatableKeyframeCurve`
to define the animation itself). For example, in order to animate font
size of a
text section from 24 pt. to 80 pt., you might use:
```rust
#[derive(Reflect)]
struct FontSizeProperty;
impl AnimatableProperty for FontSizeProperty {
type Component = Text;
type Property = f32;
fn get_mut(component: &mut Self::Component) -> Option<&mut Self::Property> {
Some(&mut component.sections.get_mut(0)?.style.font_size)
}
}
```
You can then create an `AnimationClip` to animate this property like so:
```rust
let mut animation_clip = AnimationClip::default();
animation_clip.add_curve_to_target(
animation_target_id,
AnimatableKeyframeCurve::new(
[
(0.0, 24.0),
(1.0, 80.0),
]
)
.map(AnimatableCurve::<FontSizeProperty, _>::from_curve)
.expect("Failed to create font size curve")
);
```
Here, the use of `AnimatableKeyframeCurve` creates a curve out of the
given keyframe time-value
pairs, using the `Animatable` implementation of `f32` to interpolate
between them. The
invocation of `AnimatableCurve::from_curve` with `FontSizeProperty`
indicates that the `f32`
output from that curve is to be used to animate the font size of a
`Text` component (as
configured above).
</details>
### glTF Loading
glTF animations are now loaded into `Curve` types of various kinds,
depending on what is being animated and what interpolation mode is being
used. Those types get wrapped into and converted into `Box<dyn
AnimationCurve>` and shoved inside of a `VariableCurve` just like
everybody else.
### Morph Weights
There is an `IterableCurve` abstraction which allows sampling these from
a contiguous buffer without allocating. Its only reason for existing is
that Rust disallows you from naming function types, otherwise we would
just use `Curve` with an iterator output type. (The iterator involves
`Map`, and the name of the function type would have to be able to be
named, but it is not.)
A `WeightsCurve` adaptor turns an `IterableCurve` into an
`AnimationCurve`, so it behaves like everything else in that regard.
## Testing
Tested by running existing animation examples. Interpolation logic has
had additional tests added within the `Curve` API to replace the tests
in `bevy_animation`. Some kinds of out-of-bounds errors have become
impossible.
Performance testing on `many_foxes` (`animate_targets`) suggests that
performance is very similar to the existing implementation. Here are a
couple trace histograms across different runs (yellow is this branch,
red is main).
<img width="669" alt="Screenshot 2024-09-27 at 9 41 50 AM"
src="https://github.com/user-attachments/assets/5ba4e9ac-3aea-452e-aaf8-1492acc2d7fc">
<img width="673" alt="Screenshot 2024-09-27 at 9 45 18 AM"
src="https://github.com/user-attachments/assets/8982538b-04cf-46b5-97b2-164c6bc8162e">
---
## Migration Guide
Most user code that does not directly deal with `AnimationClip` and
`VariableCurve` will not need to be changed. On the other hand,
`VariableCurve` has been completely overhauled. If you were previously
defining animation curves in code using keyframes, you will need to
migrate that code to use curve constructors instead. For example, a
rotation animation defined using keyframes and added to an animation
clip like this:
```rust
animation_clip.add_curve_to_target(
animation_target_id,
VariableCurve {
keyframe_timestamps: vec![0.0, 1.0, 2.0, 3.0, 4.0],
keyframes: Keyframes::Rotation(vec![
Quat::IDENTITY,
Quat::from_axis_angle(Vec3::Y, PI / 2.),
Quat::from_axis_angle(Vec3::Y, PI / 2. * 2.),
Quat::from_axis_angle(Vec3::Y, PI / 2. * 3.),
Quat::IDENTITY,
]),
interpolation: Interpolation::Linear,
},
);
```
would now be added like this:
```rust
animation_clip.add_curve_to_target(
animation_target_id,
AnimatableKeyframeCurve::new([0.0, 1.0, 2.0, 3.0, 4.0].into_iter().zip([
Quat::IDENTITY,
Quat::from_axis_angle(Vec3::Y, PI / 2.),
Quat::from_axis_angle(Vec3::Y, PI / 2. * 2.),
Quat::from_axis_angle(Vec3::Y, PI / 2. * 3.),
Quat::IDENTITY,
]))
.map(RotationCurve)
.expect("Failed to build rotation curve"),
);
```
Note that the interface of `AnimationClip::add_curve_to_target` has also
changed (as this example shows, if subtly), and now takes its curve
input as an `impl AnimationCurve`. If you need to add a `VariableCurve`
directly, a new method `add_variable_curve_to_target` accommodates that
(and serves as a one-to-one migration in this regard).
### For reviewers
The diff is pretty big, and the structure of some of the changes might
not be super-obvious:
- `keyframes.rs` became `animation_curves.rs`, and `AnimationCurve` is
based heavily on `Keyframes`, with the adaptors also largely following
suite.
- The Curve API adaptor structs were moved from `bevy_math::curve::mod`
into their own module `adaptors`. There are no functional changes to how
these adaptors work; this is just to make room for the specialized
reflection implementations since `mod.rs` was getting kind of cramped.
- The new module `gltf_curves` holds the additional curve constructions
that are needed by the glTF loader. Note that the loader uses a mix of
these and off-the-shelf `bevy_math` curve stuff.
- `animatable.rs` no longer holds logic related to keyframe
interpolation, which is now delegated to the existing abstractions in
`bevy_math::curve::cores`.
---------
Co-authored-by: Gino Valente <49806985+MrGVSV@users.noreply.github.com>
Co-authored-by: aecsocket <43144841+aecsocket@users.noreply.github.com>
# Objective
Unlike `Capsule3d` which has the `.to_cylinder` method, `Capsule2d`
doesn't have an equivalent `.to_inner_rectangle` method and as shown by
#15191 this is surprisingly easy to get wrong
## Solution
Implemented a `Capsule2d::to_inner_rectangle` method as it is
implemented in the fixed `Capsule2d` shape sampling, and as I was adding
tests I noticed `Capsule2d` didn't implement `Measure2d` so I did this
as well.
## Changelog
### Added
- `Capsule2d::to_inner_rectangle`, `Capsule2d::area` and
`Capsule2d::perimeter`
---------
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
Co-authored-by: James Liu <contact@jamessliu.com>
Co-authored-by: Alice Cecile <alice.i.cecile@gmail.com>
(Note: #15434 implements something very similar to this for functional
curve adaptors, which is why they aren't present in this PR.)
# Objective
Previously, there was basically no chance that the
explicitly-interpolating sample curve structs from the `Curve` API would
actually be `Reflect`. The reason for this is functional programming:
the structs contain an explicit interpolation `I: Fn(&T, &T, f32) -> T`
which, under typical circumstances, will never be `Reflect`, which
prevents the derive from realistically succeeding. In fact, they won't
be a lot of other things either, notably including both`Debug` and
`TypePath`, which are also required for reflection to succeed.
The goal of this PR is to weaken the implementations of reflection
traits for these structs so that they can implement `Reflect` under
reasonable circumstances. (Notably, they will still not be
`FromReflect`, which is unavoidable.)
## Solution
The function fields are marked as `#[reflect(ignore)]`, and the derive
macro for `Reflect` has `FromReflect` disabled. (This is not fully
optimal, but we don't presently have any kind of "read-only" attribute
for these fields.) Additionally, these structs receive custom `Debug`
and `TypePath` implementations that display the function's (unstable!)
type name instead of its value or type path (respectively). In the case
of `TypePath`, this is a bit janky, but the instability of `type_name`
won't generally present an issue for generics, which would have to be
registered manually in the type registry anyway, which is impossible
because the function type parameters cannot be named.
(And in general, the "blessed" route for such cases would generally
involve manually monomorphizing the function parameter away, which also
allows access to `FromReflect` etc. through very ordinary use of the
derive macro.)
## Testing
Tests in the new `bevy_math::curve::sample_curves` module guarantee that
these are actually `Reflect` under reasonable circumstances.
---
## Future changes
If and when function item types become `Default`, these types will need
to receive custom `FromReflect` implementations that exploit it. Such a
custom implementation would also be desirable if users start doing
things like wrapping function items in `Default`/`FromReflect` wrappers
that still implement a `Fn` trait.
Additionally, if function types become nameable in user-space, the
stance on `Debug`/`TypePath` may bear reexamination, since partial
monomorphization through wrappers would make implementing reflect traits
for function types potentially more viable.
---------
Co-authored-by: Gino Valente <49806985+MrGVSV@users.noreply.github.com>
# Objective
We introduced the fancy Curve API earlier in this version. The goal of
this PR is to provide a level of integration between that API and the
existing spline constructions in `bevy_math`.
Note that this PR only covers the integration of position-sampling via
the `Curve` API. Other (substantially more complex) planned work will
introduce general facilities for handling derivatives.
## Solution
`CubicSegment`, `CubicCurve`, `RationalSegment`, and `RationalCurve` all
now implement `Curve`, using their `position` function to sample the
output.
Additionally, some documentation has been updated/corrected, and
`Serialize`/`Deserialize` derives have been added for all the curve
structs. (Note that there are some barriers to automatic registration of
`ReflectSerialize`/`ReflectSerialize` involving generics that have not
been resolved in this PR.)
---
## Migration Guide
The `RationalCurve::domain` method has been renamed to
`RationalCurve::length`. Calling `.domain()` on a `RationalCurve` now
returns its entire domain as an `Interval`.
# Objective
This implements another item on the way to complete the `Curves`
implementation initiative
Citing @mweatherley
> Curve adaptors for making a curve repeat or ping-pong would be useful.
This adds three widely applicable adaptors:
- `ReverseCurve` "plays" the curve backwards
- `RepeatCurve` to repeat the curve for `n` times where `n` in `[0,inf)`
- `ForeverCurve` which extends the curves domain to `EVERYWHERE`
- `PingPongCurve` (name wip (?)) to chain the curve with it's reverse.
This would be achievable with `ReverseCurve` and `ChainCurve`, but it
would require the use of `by_ref` which can be restrictive in some
scenarios where you'd rather just consume the curve. Users can still
create the same effect by combination of the former two, but since this
will be most likely a very typical adaptor we should also provide it on
the library level. (Why it's typical: you can create a single period of
common waves with it pretty easily, think square wave (= pingpong +
step), triangle wave ( = pingpong + linear), etc.)
- `ContinuationCurve` which chains two curves but also makes sure that
the samples of the second curve are translated so that
`sample(first.end) == sample(second.start)`
## Solution
Implement the adaptors above. (More suggestions are welcome!)
## Testing
- [x] add simple tests. One per adaptor
---------
Co-authored-by: eckz <567737+eckz@users.noreply.github.com>
Co-authored-by: Matty <2975848+mweatherley@users.noreply.github.com>
Co-authored-by: IQuick 143 <IQuick143cz@gmail.com>
Co-authored-by: Matty <weatherleymatthew@gmail.com>
Co-authored-by: Alice Cecile <alice.i.cecile@gmail.com>
# Objective
- Fixes#6370
- Closes#6581
## Solution
- Added the following lints to the workspace:
- `std_instead_of_core`
- `std_instead_of_alloc`
- `alloc_instead_of_core`
- Used `cargo +nightly fmt` with [item level use
formatting](https://rust-lang.github.io/rustfmt/?version=v1.6.0&search=#Item%5C%3A)
to split all `use` statements into single items.
- Used `cargo clippy --workspace --all-targets --all-features --fix
--allow-dirty` to _attempt_ to resolve the new linting issues, and
intervened where the lint was unable to resolve the issue automatically
(usually due to needing an `extern crate alloc;` statement in a crate
root).
- Manually removed certain uses of `std` where negative feature gating
prevented `--all-features` from finding the offending uses.
- Used `cargo +nightly fmt` with [crate level use
formatting](https://rust-lang.github.io/rustfmt/?version=v1.6.0&search=#Crate%5C%3A)
to re-merge all `use` statements matching Bevy's previous styling.
- Manually fixed cases where the `fmt` tool could not re-merge `use`
statements due to conditional compilation attributes.
## Testing
- Ran CI locally
## Migration Guide
The MSRV is now 1.81. Please update to this version or higher.
## Notes
- This is a _massive_ change to try and push through, which is why I've
outlined the semi-automatic steps I used to create this PR, in case this
fails and someone else tries again in the future.
- Making this change has no impact on user code, but does mean Bevy
contributors will be warned to use `core` and `alloc` instead of `std`
where possible.
- This lint is a critical first step towards investigating `no_std`
options for Bevy.
---------
Co-authored-by: François Mockers <francois.mockers@vleue.com>
# Objective
Updating ``glam`` to 0.29, ``encase`` to 0.10.
## Solution
Update the necessary ``Cargo.toml`` files.
## Testing
Ran ``cargo run -p ci`` on Windows; no issues came up.
---------
Co-authored-by: aecsocket <aecsocket@tutanota.com>
# Objective
- Fixes#15236
## Solution
- Use bevy_math::ops instead of std floating point operations.
## Testing
- Did you test these changes? If so, how?
Unit tests and `cargo run -p ci -- test`
- How can other people (reviewers) test your changes? Is there anything
specific they need to know?
Execute `cargo run -p ci -- test` on Windows.
- If relevant, what platforms did you test these changes on, and are
there any important ones you can't test?
Windows
## Migration Guide
- Not a breaking change
- Projects should use bevy math where applicable
---------
Co-authored-by: Alice Cecile <alice.i.cecile@gmail.com>
Co-authored-by: IQuick 143 <IQuick143cz@gmail.com>
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
# Objective
- Another way of specifying rotations was requested in
https://github.com/bevyengine/bevy/issues/11132#issuecomment-2344603178
## Solution
- Add methods on `Rot2`
- `turn_fraction(fraction: f32) -> Self`
- `as_turn_fraction(self) -> f32`
- Also add some documentation on range of rotation
## Testing
- extended existing tests
- added new tests
## Showcase
```rust
let rotation1 = Rot2::degrees(90.0);
let rotation2 = Rot2::turn_fraction(0.25);
// rotations should be equal
assert_relative_eq!(rotation1, rotation2);
// The rotation should be 90 degrees
assert_relative_eq!(rotation2.as_radians(), FRAC_PI_2);
assert_relative_eq!(rotation2.as_degrees(), 90.0);
```
---------
Co-authored-by: Joona Aalto <jondolf.dev@gmail.com>
Co-authored-by: Jan Hohenheim <jan@hohenheim.ch>
# Objective
`Capsule2d::sample_interior` uses the radius of the capsule for the
width of its rectangular section. It should be using two times the
radius for the full width!
I noticed this as I was getting incorrect results for angular inertia
approximated from a point cloud of points sampled on the capsule. This
hinted that something was wrong with the sampling.
## Solution
Multiply the radius by two to get the full width of the rectangular
section. With this, the sampling produces the correct result in my
tests.
Hello,
I'd like to contribute to this project by adding some useful constants
and improving the documentation for the AspectRatio struct. Here's a
summary of the changes I've made:
1. Added new constants for common aspect ratios:
- SIXTEEN_NINE (16:9)
- FOUR_THREE (4:3)
- ULTRAWIDE (21:9)
2. Enhanced the overall documentation:
- Improved module-level documentation with an overview and use cases
- Expanded explanation of the AspectRatio struct with examples
- Added detailed descriptions and examples for all methods (both
existing and new)
- Included explanations for the newly introduced constant values
- Added clarifications for From trait implementations
These changes aim to make the AspectRatio API more user-friendly and
easier to understand. The new constants provide convenient access to
commonly used aspect ratios, which I believe will be helpful in many
scenarios.
---------
Co-authored-by: Gonçalo Rica Pais da Silva <bluefinger@gmail.com>
Co-authored-by: Lixou <82600264+DasLixou@users.noreply.github.com>
# Objective
- Crate-level prelude modules, such as `bevy_ecs::prelude`, are plagued
with inconsistency! Let's fix it!
## Solution
Format all preludes based on the following rules:
1. All preludes should have brief documentation in the format of:
> The _name_ prelude.
>
> This includes the most common types in this crate, re-exported for
your convenience.
2. All documentation should be outer, not inner. (`///` instead of
`//!`.)
3. No prelude modules should be annotated with `#[doc(hidden)]`. (Items
within them may, though I'm not sure why this was done.)
## Testing
- I manually searched for the term `mod prelude` and updated all
occurrences by hand. 🫠
---------
Co-authored-by: Gino Valente <49806985+MrGVSV@users.noreply.github.com>
# Objective
- Add gizmos integration for the new `Curve` things in the math lib
## Solution
- Add the following methods
- `curve_2d(curve, sample_times, color)`
- `curve_3d(curve, sample_times, color)`
- `curve_gradient_2d(curve, sample_times_with_colors)`
- `curve_gradient_3d(curve, sample_times_with_colors)`
## Testing
- I added examples of the 2D and 3D variants of the gradient curve
gizmos to the gizmos examples.
## Showcase
### 2D
```rust
let domain = Interval::EVERYWHERE;
let curve = function_curve(domain, |t| Vec2::new(t, (t / 25.0).sin() * 100.0));
let resolution = ((time.elapsed_seconds().sin() + 1.0) * 50.0) as usize;
let times_and_colors = (0..=resolution)
.map(|n| n as f32 / resolution as f32)
.map(|t| (t - 0.5) * 600.0)
.map(|t| (t, TEAL.mix(&HOT_PINK, (t + 300.0) / 600.0)));
gizmos.curve_gradient_2d(curve, times_and_colors);
```
### 3D
```rust
let domain = Interval::EVERYWHERE;
let curve = function_curve(domain, |t| {
(Vec2::from((t * 10.0).sin_cos())).extend(t - 6.0)
});
let resolution = ((time.elapsed_seconds().sin() + 1.0) * 100.0) as usize;
let times_and_colors = (0..=resolution)
.map(|n| n as f32 / resolution as f32)
.map(|t| t * 5.0)
.map(|t| (t, TEAL.mix(&HOT_PINK, t / 5.0)));
gizmos.curve_gradient_3d(curve, times_and_colors);
```
