Crate euclid

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A collection of strongly typed math tools for computer graphics with an inclination towards 2d graphics and layout.

All types are generic over the scalar type of their component (f32, i32, etc.), and tagged with a generic Unit parameter which is useful to prevent mixing values from different spaces. For example it should not be legal to translate a screen-space position by a world-space vector and this can be expressed using the generic Unit parameter.

This unit system is not mandatory and all Typed* structures have an alias with the default unit: UnknownUnit. for example Point2D<T> is equivalent to TypedPoint2D<T, UnknownUnit>. Client code typically creates a set of aliases for each type and doesn’t need to deal with the specifics of typed units further. For example:

use euclid::*;
pub struct ScreenSpace;
pub type ScreenPoint = TypedPoint2D<f32, ScreenSpace>;
pub type ScreenSize = TypedSize2D<f32, ScreenSpace>;
pub struct WorldSpace;
pub type WorldPoint = TypedPoint3D<f32, WorldSpace>;
pub type ProjectionMatrix = TypedTransform3D<f32, WorldSpace, ScreenSpace>;
// etc...

All euclid types are marked #[repr(C)] in order to facilitate exposing them to foreign function interfaces (provided the underlying scalar type is also repr(C)).

Components are accessed in their scalar form by default for convenience, and most types additionally implement strongly typed accessors which return typed Length wrappers. For example:

let p = WorldPoint::new(0.0, 1.0, 1.0);
// p.x is an f32.
println!("p.x = {:?} ", p.x);
// p.x is a Length<f32, WorldSpace>.
println!("p.x_typed() = {:?} ", p.x_typed());
// Length::get returns the scalar value (f32).
assert_eq!(p.x, p.x_typed().get());

Modules

A one-dimensional length, tagged with its units.

Structs

An angle in radians
Homogeneous vector in 3D space.
A one-dimensional distance, with value represented by T and unit of measurement Unit.
Temporary alias to facilitate the transition to the new naming scheme An angle in radians
A 2d Point tagged with a unit.
A 3d Point tagged with a unit.
A 2d Rectangle optionally tagged with a unit.
A transform that can represent rotations in 2d, represented as an angle in radians.
A transform that can represent rotations in 3d, represented as a quaternion.
A scaling factor between two different units of measurement.
A 2d transform stored as a 3 by 2 matrix in row-major order in memory.
A 3d transform stored as a 4 by 4 matrix in row-major order in memory.
A 2d transformation from a space to another that can only express translations.
A 3d transformation from a space to another that can only express translations.
A 2d Vector tagged with a unit.
A 3d Vector tagged with a unit.
The default unit.

Traits

Trait for basic trigonometry functions, so they can be used on generic numeric types

Functions

Shorthand for TypedRect::new(TypedPoint2D::new(x, y), TypedSize2D::new(w, h)).
Shorthand for TypedSize2D::new(w, h).
Convenience constructor.
Convenience constructor.

Type Definitions

Matrix2DDeprecated
Temporary alias to facilitate the transition to the new naming scheme
Matrix4DDeprecated
Temporary alias to facilitate the transition to the new naming scheme
Default 2d point type with no unit.
Default 3d point type with no unit.
The default rectangle type with no unit.
The default 2d rotation type with no units.
The default 3d rotation type with no units.
ScaleFactorDeprecated
Temporary alias to facilitate the transition to the new naming scheme
The default side offset type with no unit.
Default 2d size type with no unit.
The default 2d transform type with no units.
The default 3d transform type with no units.
TypedMatrix2DDeprecated
Temporary alias to facilitate the transition to the new naming scheme
TypedMatrix4DDeprecated
Temporary alias to facilitate the transition to the new naming scheme
Default 2d vector type with no unit.
Default 3d vector type with no unit.