## Expand description

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 structures have an alias
with the default unit: `UnknownUnit`

.
for example `default::Point2D<T>`

is equivalent to `Point2D<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 = Point2D<f32, ScreenSpace>;
pub type ScreenSize = Size2D<f32, ScreenSpace>;
pub struct WorldSpace;
pub type WorldPoint = Point3D<f32, WorldSpace>;
pub type ProjectionMatrix = Transform3D<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)`

).

## Modules§

- angle 🔒
- Utilities for testing approximate ordering - especially true for floating point types, where NaN’s cannot be ordered.
- box2d 🔒
- box3d 🔒
- A set of aliases for all types, tagged with the default unknown unit.
- homogen 🔒
- length 🔒A one-dimensional length, tagged with its units.
- macros 🔒
- A one-dimensional length, tagged with its units.
- point 🔒
- rect 🔒
- rigid 🔒All matrix multiplication in this module is in row-vector notation, i.e. a vector
`v`

is transformed with`v * T`

, and if you want to apply`T1`

before`T2`

you use`T1 * T2`

- rotation 🔒
- scale 🔒A type-checked scaling factor between units.
- A group of side offsets, which correspond to top/left/bottom/right for borders, padding, and margins in CSS.
- size 🔒
- trig 🔒
- vector 🔒

## Structs§

- An angle in radians
- A 2d vector of booleans, useful for component-wise logic operations.
- A 3d vector of booleans, useful for component-wise logic operations.
- A 2d axis aligned rectangle represented by its minimum and maximum coordinates.
- An axis aligned 3D box represented by its minimum and maximum coordinates.
- Homogeneous vector in 3D space.
- A one-dimensional distance, with value represented by
`T`

and unit of measurement`Unit`

. - A 2d Point tagged with a unit.
- A 3d Point tagged with a unit.
- A 2d Rectangle optionally tagged with a unit.
- A rigid transformation. All lengths are preserved under such a transformation.
- 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 group of 2D side offsets, which correspond to top/right/bottom/left for borders, padding, and margins in CSS, optionally tagged with a unit.
- A 2d size tagged with a unit.
- A 3d size tagged with a unit.
- A 2d transform represented by a column-major 3 by 3 matrix, compressed down to 3 by 2.
- A 3d transform stored as a column-major 4 by 4 matrix.
- 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.
- The default unit.
- A 2d Vector tagged with a unit.
- A 3d Vector tagged with a unit.

## Traits§

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

## Functions§

- Shorthand for
`Box3D::new(Point3D::new(x1, y1, z1), Point3D::new(x2, y2, z2))`

. - Shorthand for
`BoolVector2D { x, y }`

. - Shorthand for
`BoolVector3D { x, y, z }`

. - Shorthand for
`Point2D::new(x, y)`

. - Shorthand for
`Point3D::new(x, y)`

. - Shorthand for
`Rect::new(Point2D::new(x, y), Size2D::new(w, h))`

. - Shorthand for
`Size2D::new(w, h)`

. - Shorthand for
`Size3D::new(w, h, d)`

. - Convenience constructor.
- Convenience constructor.