Struct TypedTransform2D

#[repr(C)]
pub struct TypedTransform2D<T, Src, Dst> {
    pub m11: T,
    pub m12: T,
    pub m21: T,
    pub m22: T,
    pub m31: T,
    pub m32: T,
    /* private fields */
}

A 2d transform stored as a 3 by 2 matrix in row-major order in memory.

Transforms can be parametrized over the source and destination units, to describe a transformation from a space to another. For example, TypedTransform2D<f32, WorldSpace, ScreenSpace>::transform_point4d takes a TypedPoint2D<f32, WorldSpace> and returns a TypedPoint2D<f32, ScreenSpace>.

Transforms expose a set of convenience methods for pre- and post-transformations. A pre-transformation corresponds to adding an operation that is applied before the rest of the transformation, while a post-transformation adds an operation that is applied after.

These transforms are for working with row vectors, so the matrix math for transforming a vector is v * T. If your library is using column vectors, use row_major functions when you are asked for column_major representations and vice versa.

Fields

m11: T

m12: T

m21: T

m22: T

m31: T

m32: T

Implementations

impl<T, Src, Dst> TypedTransform2D<T, Src, Dst>

where T: Copy,

pub fn row_major( m11: T, m12: T, m21: T, m22: T, m31: T, m32: T, ) -> TypedTransform2D<T, Src, Dst>

Create a transform specifying its matrix elements in row-major order.

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), then please use column_major

pub fn column_major( m11: T, m21: T, m31: T, m12: T, m22: T, m32: T, ) -> TypedTransform2D<T, Src, Dst>

Create a transform specifying its matrix elements in column-major order.

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), then please use row_major

pub fn to_row_major_array(&self) -> [T; 6]

Returns an array containing this transform’s terms in row-major order (the order in which the transform is actually laid out in memory).

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), then please use to_column_major_array

pub fn to_column_major_array(&self) -> [T; 6]

Returns an array containing this transform’s terms in column-major order.

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), then please use to_row_major_array

pub fn to_row_arrays(&self) -> [[T; 2]; 3]

Returns an array containing this transform’s 3 rows in (in row-major order) as arrays.

This is a convenience method to interface with other libraries like glium.

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), this will return column major arrays.

pub fn from_row_major_array(array: [T; 6]) -> TypedTransform2D<T, Src, Dst>

Creates a transform from an array of 6 elements in row-major order.

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), please provide a column major array.

pub fn from_row_arrays(array: [[T; 2]; 3]) -> TypedTransform2D<T, Src, Dst>

Creates a transform from 3 rows of 2 elements (row-major order).

Beware: This library is written with the assumption that row vectors are being used. If your matrices use column vectors (i.e. transforming a vector is T * v), please provide a column major array.

pub fn to_untyped(&self) -> TypedTransform2D<T, UnknownUnit, UnknownUnit>

Drop the units, preserving only the numeric value.

pub fn from_untyped( p: &TypedTransform2D<T, UnknownUnit, UnknownUnit>, ) -> TypedTransform2D<T, Src, Dst>

Tag a unitless value with units.

impl<T0, Src, Dst> TypedTransform2D<T0, Src, Dst>

where T0: NumCast + Copy,

pub fn cast<T1>(&self) -> TypedTransform2D<T1, Src, Dst>

where T1: NumCast + Copy,

Cast from one numeric representation to another, preserving the units.

pub fn try_cast<T1>(&self) -> Option<TypedTransform2D<T1, Src, Dst>>

where T1: NumCast + Copy,

Fallible cast from one numeric representation to another, preserving the units.

impl<T, Src, Dst> TypedTransform2D<T, Src, Dst>

where T: Copy + PartialEq + One + Zero,

pub fn identity() -> TypedTransform2D<T, Src, Dst>

impl<T, Src, Dst> TypedTransform2D<T, Src, Dst>

where T: Clone + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Sub<Output = T> + Copy + Trig + PartialOrd + One + Zero,

pub fn post_mul<NewDst>( &self, mat: &TypedTransform2D<T, Dst, NewDst>, ) -> TypedTransform2D<T, Src, NewDst>

Returns the multiplication of the two matrices such that mat’s transformation applies after self’s transformation.

Assuming row vectors, this is equivalent to self * mat

pub fn pre_mul<NewSrc>( &self, mat: &TypedTransform2D<T, NewSrc, Src>, ) -> TypedTransform2D<T, NewSrc, Dst>

Returns the multiplication of the two matrices such that mat’s transformation applies before self’s transformation.

Assuming row vectors, this is equivalent to mat * self

pub fn create_translation(x: T, y: T) -> TypedTransform2D<T, Src, Dst>

Returns a translation transform.

pub fn post_translate( &self, v: TypedVector2D<T, Dst>, ) -> TypedTransform2D<T, Src, Dst>

Applies a translation after self’s transformation and returns the resulting transform.

pub fn pre_translate( &self, v: TypedVector2D<T, Src>, ) -> TypedTransform2D<T, Src, Dst>

Applies a translation before self’s transformation and returns the resulting transform.

pub fn create_scale(x: T, y: T) -> TypedTransform2D<T, Src, Dst>

Returns a scale transform.

pub fn post_scale(&self, x: T, y: T) -> TypedTransform2D<T, Src, Dst>

Applies a scale after self’s transformation and returns the resulting transform.

pub fn pre_scale(&self, x: T, y: T) -> TypedTransform2D<T, Src, Dst>

Applies a scale before self’s transformation and returns the resulting transform.

pub fn create_rotation(theta: Angle<T>) -> TypedTransform2D<T, Src, Dst>

Returns a rotation transform.

pub fn post_rotate(&self, theta: Angle<T>) -> TypedTransform2D<T, Src, Dst>

Applies a rotation after self’s transformation and returns the resulting transform.

pub fn pre_rotate(&self, theta: Angle<T>) -> TypedTransform2D<T, Src, Dst>

Applies a rotation after self’s transformation and returns the resulting transform.

pub fn transform_point( &self, point: &TypedPoint2D<T, Src>, ) -> TypedPoint2D<T, Dst>

Returns the given point transformed by this transform.

Assuming row vectors, this is equivalent to p * self

pub fn transform_vector( &self, vec: &TypedVector2D<T, Src>, ) -> TypedVector2D<T, Dst>

Returns the given vector transformed by this matrix.

Assuming row vectors, this is equivalent to v * self

pub fn transform_rect(&self, rect: &TypedRect<T, Src>) -> TypedRect<T, Dst>

Returns a rectangle that encompasses the result of transforming the given rectangle by this transform.

pub fn determinant(&self) -> T

Computes and returns the determinant of this transform.

pub fn inverse(&self) -> Option<TypedTransform2D<T, Dst, Src>>

Returns the inverse transform if possible.

pub fn with_destination<NewDst>(&self) -> TypedTransform2D<T, Src, NewDst>

Returns the same transform with a different destination unit.

pub fn with_source<NewSrc>(&self) -> TypedTransform2D<T, NewSrc, Dst>

Returns the same transform with a different source unit.

impl<T, Src, Dst> TypedTransform2D<T, Src, Dst>

where T: Add<Output = T> + Sub<Output = T> + Mul<Output = T> + Div<Output = T> + Copy + Neg<Output = T> + Clone + PartialOrd + Trig + One + Zero,

pub fn to_3d(&self) -> TypedTransform3D<T, Src, Dst>

Create a 3D transform from the current transform

impl<T, Src, Dst> TypedTransform2D<T, Src, Dst>

where T: ApproxEq<T>,

pub fn approx_eq(&self, other: &TypedTransform2D<T, Src, Dst>) -> bool

Trait Implementations

impl<T, Src, Dst> Clone for TypedTransform2D<T, Src, Dst>

where T: Clone,

fn clone(&self) -> TypedTransform2D<T, Src, Dst>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<T, Src, Dst> Debug for TypedTransform2D<T, Src, Dst>

where T: Copy + Debug + PartialEq + One + Zero,

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T, Src, Dst> Default for TypedTransform2D<T, Src, Dst>

where T: Copy + PartialEq + One + Zero,

fn default() -> TypedTransform2D<T, Src, Dst>

Returns the “default value” for a type.

impl<'l> From<&'l TypedTransform2D<f32, UnknownUnit, UnknownUnit>> for Variant

fn from(val: &'l TypedTransform2D<f32, UnknownUnit, UnknownUnit>) -> Variant

Converts to this type from the input type.

impl<T, Src, Dst> Hash for TypedTransform2D<T, Src, Dst>

where T: Hash,

fn hash<H>(&self, h: &mut H)

where H: Hasher,

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T, Src, Dst> Into<TypedTransform2D<T, Src, Dst>> for TypedTranslation2D<T, Src, Dst>

where T: Clone + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Sub<Output = T> + Copy + Trig + PartialOrd + One + Zero,

fn into(self) -> TypedTransform2D<T, Src, Dst>

Converts this type into the (usually inferred) input type.

impl<T, Src, Dst> PartialEq for TypedTransform2D<T, Src, Dst>

where T: PartialEq,

fn eq(&self, other: &TypedTransform2D<T, Src, Dst>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<T, Src, Dst> Copy for TypedTransform2D<T, Src, Dst>

where T: Copy,

impl<T, Src, Dst> Eq for TypedTransform2D<T, Src, Dst>

where T: Eq,