Expand description
A 2D affine transform, which can represent translation, rotation, scaling and shear.
Fields
matrix2: DMat2
translation: DVec2
Implementations
sourceimpl DAffine2
impl DAffine2
sourcepub const ZERO: DAffine2
pub const ZERO: DAffine2
The degenerate zero transform.
This transforms any finite vector and point to zero. The zero transform is non-invertible.
sourcepub const IDENTITY: DAffine2
pub const IDENTITY: DAffine2
The identity transform.
Multiplying a vector with this returns the same vector.
sourcepub fn from_cols(x_axis: DVec2, y_axis: DVec2, z_axis: DVec2) -> DAffine2
pub fn from_cols(x_axis: DVec2, y_axis: DVec2, z_axis: DVec2) -> DAffine2
Creates an affine transform from three column vectors.
sourcepub fn from_cols_array(m: &[f64; 6]) -> DAffine2
pub fn from_cols_array(m: &[f64; 6]) -> DAffine2
Creates an affine transform from a [S; 6]
array stored in column major order.
If your data is stored in row major you will need to transpose
the returned
matrix.
sourcepub fn to_cols_array(&self) -> [f64; 6]
pub fn to_cols_array(&self) -> [f64; 6]
Creates a [S; 6]
array storing data in column major order.
If you require data in row major order transpose
the matrix first.
sourcepub fn from_cols_array_2d(m: &[[f64; 2]; 3]) -> DAffine2
pub fn from_cols_array_2d(m: &[[f64; 2]; 3]) -> DAffine2
Creates an affine transform from a [[S; 2]; 3]
2D array stored in column major order.
If your data is in row major order you will need to transpose
the returned
matrix.
sourcepub fn to_cols_array_2d(&self) -> [[f64; 2]; 3]
pub fn to_cols_array_2d(&self) -> [[f64; 2]; 3]
Creates a [[S; 2]; 3]
2D array storing data in column major order.
If you require data in row major order transpose
the matrix first.
sourcepub fn from_cols_slice(slice: &[f64]) -> DAffine2
pub fn from_cols_slice(slice: &[f64]) -> DAffine2
Creates an affine transform from the first 6 values in slice
.
Panics
Panics if slice
is less than 6 elements long.
sourcepub fn write_cols_to_slice(self, slice: &mut [f64])
pub fn write_cols_to_slice(self, slice: &mut [f64])
Writes the columns of self
to the first 12 elements in slice
.
Panics
Panics if slice
is less than 12 elements long.
sourcepub fn from_scale(scale: DVec2) -> DAffine2
pub fn from_scale(scale: DVec2) -> DAffine2
Creates an affine transform that changes scale. Note that if any scale is zero the transform will be non-invertible.
sourcepub fn from_angle(angle: f64) -> DAffine2
pub fn from_angle(angle: f64) -> DAffine2
Creates an affine transform from the given rotation angle
.
sourcepub fn from_translation(translation: DVec2) -> DAffine2
pub fn from_translation(translation: DVec2) -> DAffine2
Creates an affine transformation from the given 2D translation
.
sourcepub fn from_mat2(matrix2: DMat2) -> DAffine2
pub fn from_mat2(matrix2: DMat2) -> DAffine2
Creates an affine transform from a 2x2 matrix (expressing scale, shear and rotation)
sourcepub fn from_mat2_translation(matrix2: DMat2, translation: DVec2) -> DAffine2
pub fn from_mat2_translation(matrix2: DMat2, translation: DVec2) -> DAffine2
Creates an affine transform from a 2x2 matrix (expressing scale, shear and rotation) and a translation vector.
Equivalent to Affine2::from_translation(translation) * Affine2::from_mat2(mat2)
sourcepub fn from_scale_angle_translation(
scale: DVec2,
angle: f64,
translation: DVec2
) -> DAffine2
pub fn from_scale_angle_translation(
scale: DVec2,
angle: f64,
translation: DVec2
) -> DAffine2
Creates an affine transform from the given 2D scale
, rotation angle
(in
radians) and translation
.
Equivalent to Affine2::from_translation(translation) * Affine2::from_angle(angle) * Affine2::from_scale(scale)
sourcepub fn from_angle_translation(angle: f64, translation: DVec2) -> DAffine2
pub fn from_angle_translation(angle: f64, translation: DVec2) -> DAffine2
Creates an affine transform from the given 2D rotation angle
(in radians) and
translation
.
Equivalent to Affine2::from_translation(translation) * Affine2::from_angle(angle)
sourcepub fn transform_point2(&self, other: DVec2) -> DVec2
pub fn transform_point2(&self, other: DVec2) -> DVec2
Transforms the given 2D point, applying shear, scale, rotation and translation.
sourcepub fn transform_vector2(&self, other: DVec2) -> DVec2
pub fn transform_vector2(&self, other: DVec2) -> DVec2
Transforms the given 2D vector, applying shear, scale and rotation (but NOT translation).
To also apply translation, use Self::transform_point2
instead.
sourcepub fn is_finite(&self) -> bool
pub fn is_finite(&self) -> bool
Returns true
if, and only if, all elements are finite.
If any element is either NaN
, positive or negative infinity, this will return
false
.
sourcepub fn abs_diff_eq(&self, other: DAffine2, max_abs_diff: f64) -> bool
pub fn abs_diff_eq(&self, other: DAffine2, max_abs_diff: f64) -> bool
Returns true if the absolute difference of all elements between self
and other
is less than or equal to max_abs_diff
.
This can be used to compare if two 3x4 matrices contain similar elements. It works
best when comparing with a known value. The max_abs_diff
that should be used used
depends on the values being compared against.
For more see comparing floating point numbers.
Trait Implementations
sourceimpl<'de> Deserialize<'de> for DAffine2
impl<'de> Deserialize<'de> for DAffine2
sourcepub fn deserialize<D>(
deserializer: D
) -> Result<DAffine2, <D as Deserializer<'de>>::Error> where
D: Deserializer<'de>,
pub fn deserialize<D>(
deserializer: D
) -> Result<DAffine2, <D as Deserializer<'de>>::Error> where
D: Deserializer<'de>,
Deserialize this value from the given Serde deserializer. Read more
sourceimpl Serialize for DAffine2
impl Serialize for DAffine2
sourcepub fn serialize<S>(
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
S: Serializer,
pub fn serialize<S>(
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
S: Serializer,
Serialize this value into the given Serde serializer. Read more
impl Copy for DAffine2
Auto Trait Implementations
impl RefUnwindSafe for DAffine2
impl Send for DAffine2
impl Sync for DAffine2
impl Unpin for DAffine2
impl UnwindSafe for DAffine2
Blanket Implementations
sourceimpl<T> BorrowMut<T> for T where
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
const: unstable · sourcepub fn borrow_mut(&mut self) -> &mut T
pub fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
impl<T> Downcast for T where
T: Any,
impl<T> Downcast for T where
T: Any,
pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>ⓘNotable traits for Box<I, A>impl<I, A> Iterator for Box<I, A> where
I: Iterator + ?Sized,
A: Allocator, type Item = <I as Iterator>::Item;impl<F, A> Future for Box<F, A> where
F: Future + Unpin + ?Sized,
A: Allocator + 'static, type Output = <F as Future>::Output;
pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>ⓘNotable traits for Box<I, A>impl<I, A> Iterator for Box<I, A> where
I: Iterator + ?Sized,
A: Allocator, type Item = <I as Iterator>::Item;impl<F, A> Future for Box<F, A> where
F: Future + Unpin + ?Sized,
A: Allocator + 'static, type Output = <F as Future>::Output;
I: Iterator + ?Sized,
A: Allocator, type Item = <I as Iterator>::Item;impl<F, A> Future for Box<F, A> where
F: Future + Unpin + ?Sized,
A: Allocator + 'static, type Output = <F as Future>::Output;
Convert Box<dyn Trait>
(where Trait: Downcast
) to Box<dyn Any>
. Box<dyn Any>
can
then be further downcast
into Box<ConcreteType>
where ConcreteType
implements Trait
. Read more
pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
Convert Rc<Trait>
(where Trait: Downcast
) to Rc<Any>
. Rc<Any>
can then be
further downcast
into Rc<ConcreteType>
where ConcreteType
implements Trait
. Read more
pub fn as_any(&self) -> &(dyn Any + 'static)
pub fn as_any(&self) -> &(dyn Any + 'static)
Convert &Trait
(where Trait: Downcast
) to &Any
. This is needed since Rust cannot
generate &Any
’s vtable from &Trait
’s. Read more
pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
Convert &mut Trait
(where Trait: Downcast
) to &Any
. This is needed since Rust cannot
generate &mut Any
’s vtable from &mut Trait
’s. Read more
impl<T> FromWorld for T where
T: Default,
impl<T> FromWorld for T where
T: Default,
pub fn from_world(_world: &mut World) -> T
pub fn from_world(_world: &mut World) -> T
Creates Self
using data from the given World
sourceimpl<T> Instrument for T
impl<T> Instrument for T
sourcefn instrument(self, span: Span) -> Instrumented<Self>ⓘNotable traits for Instrumented<T>impl<T> Future for Instrumented<T> where
T: Future, type Output = <T as Future>::Output;
fn instrument(self, span: Span) -> Instrumented<Self>ⓘNotable traits for Instrumented<T>impl<T> Future for Instrumented<T> where
T: Future, type Output = <T as Future>::Output;
T: Future, type Output = <T as Future>::Output;
sourcefn in_current_span(self) -> Instrumented<Self>ⓘNotable traits for Instrumented<T>impl<T> Future for Instrumented<T> where
T: Future, type Output = <T as Future>::Output;
fn in_current_span(self) -> Instrumented<Self>ⓘNotable traits for Instrumented<T>impl<T> Future for Instrumented<T> where
T: Future, type Output = <T as Future>::Output;
T: Future, type Output = <T as Future>::Output;
sourceimpl<T> Serialize for T where
T: Serialize + ?Sized,
impl<T> Serialize for T where
T: Serialize + ?Sized,
pub fn erased_serialize(
&self,
serializer: &mut dyn Serializer
) -> Result<Ok, Error>
sourceimpl<T> ToOwned for T where
T: Clone,
impl<T> ToOwned for T where
T: Clone,
type Owned = T
type Owned = T
The resulting type after obtaining ownership.
sourcepub fn to_owned(&self) -> T
pub fn to_owned(&self) -> T
Creates owned data from borrowed data, usually by cloning. Read more
sourcepub fn clone_into(&self, target: &mut T)
pub fn clone_into(&self, target: &mut T)
toowned_clone_into
)Uses borrowed data to replace owned data, usually by cloning. Read more
impl<T> TypeData for T where
T: 'static + Send + Sync + Clone,
impl<T> TypeData for T where
T: 'static + Send + Sync + Clone,
pub fn clone_type_data(&self) -> Box<dyn TypeData + 'static, Global>ⓘNotable traits for Box<I, A>impl<I, A> Iterator for Box<I, A> where
I: Iterator + ?Sized,
A: Allocator, type Item = <I as Iterator>::Item;impl<F, A> Future for Box<F, A> where
F: Future + Unpin + ?Sized,
A: Allocator + 'static, type Output = <F as Future>::Output;
I: Iterator + ?Sized,
A: Allocator, type Item = <I as Iterator>::Item;impl<F, A> Future for Box<F, A> where
F: Future + Unpin + ?Sized,
A: Allocator + 'static, type Output = <F as Future>::Output;
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
pub fn vzip(self) -> V
sourceimpl<T> WithSubscriber for T
impl<T> WithSubscriber for T
sourcefn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>ⓘNotable traits for WithDispatch<T>impl<T> Future for WithDispatch<T> where
T: Future, type Output = <T as Future>::Output;
where
S: Into<Dispatch>,
fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>ⓘNotable traits for WithDispatch<T>impl<T> Future for WithDispatch<T> where
T: Future, type Output = <T as Future>::Output;
where
S: Into<Dispatch>,
T: Future, type Output = <T as Future>::Output;
Attaches the provided Subscriber
to this type, returning a
WithDispatch
wrapper. Read more
sourcefn with_current_subscriber(self) -> WithDispatch<Self>ⓘNotable traits for WithDispatch<T>impl<T> Future for WithDispatch<T> where
T: Future, type Output = <T as Future>::Output;
fn with_current_subscriber(self) -> WithDispatch<Self>ⓘNotable traits for WithDispatch<T>impl<T> Future for WithDispatch<T> where
T: Future, type Output = <T as Future>::Output;
T: Future, type Output = <T as Future>::Output;
Attaches the current default Subscriber
to this type, returning a
WithDispatch
wrapper. Read more