pub struct Matrix3dTransform<T>where
    T: CoordinateType,{
    pub m11: T,
    pub m12: T,
    pub m21: T,
    pub m22: T,
    pub m31: T,
    pub m32: T,
}
Expand description

Affine transformation represented as a 3x3 matrix like:

m11 m12 0
m21 m22 0
m31 m32 1

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§m11: T

m11

§m12: T

m12

§m21: T

m21

§m22: T

m22

§m31: T

m31. Used to express the x component of the translation.

§m32: T

m32. Used to express the y component of the translation.

Implementations§

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impl<T> Matrix3dTransform<T>where T: CoordinateType,

pub fn new( m11: T, m12: T, m21: T, m22: T, m31: T, m32: T ) -> Matrix3dTransform<T>

Create a new transform based on the matrix elements.

pub fn identity() -> Matrix3dTransform<T>

Get the identity transform.

pub fn translate<V>(v: V) -> Matrix3dTransform<T>where V: Into<Vector<T>>,

Create a translation by a vector.

pub fn rotate90(angle: Angle) -> Matrix3dTransform<T>

Create a rotation by an integer multiple of 90 degrees.

pub fn scale(factor: T) -> Matrix3dTransform<T>

Create a scaling by a factor.

pub fn mirror_x() -> Matrix3dTransform<T>

Mirror at the x-axis.

pub fn mirror_y() -> Matrix3dTransform<T>

Mirror at the y-axis.

pub fn transform_point(&self, p: Point<T>) -> Point<T>

Apply the transformation to a single point.

pub fn to_matrix3d(&self) -> Matrix3d<T>

Return the 3x3 matrix describing this transformation.

pub fn to_matrix2d(&self) -> Matrix2d<T>

Return the 2x2 matrix that describes this transformation without any translation.

pub fn determinant(&self) -> T

Compute the determinant of the 3x3 matrix that describes this transformation.

pub fn try_invert(&self) -> Option<Matrix3dTransform<T>>

Get the inverse transformation if it exists.

pub fn then(&self, t: &Matrix3dTransform<T>) -> Matrix3dTransform<T>

Return a new transformation that is equal to applying first self then t.

pub fn then_scale(&self, factor: T) -> Matrix3dTransform<T>

Create a new transformation with an additional scaling.

pub fn then_translate<V>(&self, v: V) -> Matrix3dTransform<T>where V: Into<Vector<T>>,

Create a new transformation with an additional translation.

pub fn then_rotate90(&self, angle: Angle) -> Matrix3dTransform<T>

Create a new transformation with an additional rotation by a multiple of 90 degrees.

pub fn then_mirror_x(&self) -> Matrix3dTransform<T>

Create a new transformation with an additional mirroring at the x-axis.

pub fn then_mirror_y(&self) -> Matrix3dTransform<T>

Create a new transformation with an additional mirroring at the y-axis.

pub fn get_translation(&self) -> Vector<T>

Get the translation part of this affine transformation.

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impl<T> Matrix3dTransform<T>where T: CoordinateType + Float,

pub fn rotation(phi: T) -> Matrix3dTransform<T>

Create a rotation by an arbitrary angle (in radians).

pub fn then_rotate(&self, phi: T) -> Matrix3dTransform<T>

Create a new transformation with an additional rotation.

Trait Implementations§

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impl<T> Clone for Matrix3dTransform<T>where T: Clone + CoordinateType,

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fn clone(&self) -> Matrix3dTransform<T>

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
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impl<T> Debug for Matrix3dTransform<T>where T: Debug + CoordinateType,

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

Formats the value using the given formatter. Read more
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impl<'de, T> Deserialize<'de> for Matrix3dTransform<T>where T: CoordinateType + Deserialize<'de>,

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fn deserialize<__D>( __deserializer: __D ) -> Result<Matrix3dTransform<T>, <__D as Deserializer<'de>>::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<T> Hash for Matrix3dTransform<T>where T: Hash + CoordinateType,

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fn hash<__H>(&self, state: &mut __H)where __H: Hasher,

Feeds this value into the given Hasher. Read more
1.3.0 · source§

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

Feeds a slice of this type into the given Hasher. Read more
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impl<T> Mul<Matrix3dTransform<T>> for Matrix3dTransform<T>where T: CoordinateType,

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fn mul( self, rhs: Matrix3dTransform<T> ) -> <Matrix3dTransform<T> as Mul<Matrix3dTransform<T>>>::Output

Shortcut for self.then(&rhs).

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type Output = Matrix3dTransform<T>

The resulting type after applying the * operator.
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impl<T> PartialEq<Matrix3dTransform<T>> for Matrix3dTransform<T>where T: PartialEq<T> + CoordinateType,

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fn eq(&self, other: &Matrix3dTransform<T>) -> bool

This method tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T> Serialize for Matrix3dTransform<T>where T: CoordinateType + Serialize,

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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
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impl<T> Eq for Matrix3dTransform<T>where T: Eq + CoordinateType,

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impl<T> StructuralEq for Matrix3dTransform<T>where T: CoordinateType,

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impl<T> StructuralPartialEq for Matrix3dTransform<T>where T: CoordinateType,

Auto Trait Implementations§

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impl<T> RefUnwindSafe for Matrix3dTransform<T>where T: RefUnwindSafe,

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impl<T> Send for Matrix3dTransform<T>where T: Send,

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impl<T> Sync for Matrix3dTransform<T>where T: Sync,

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impl<T> Unpin for Matrix3dTransform<T>where T: Unpin,

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impl<T> UnwindSafe for Matrix3dTransform<T>where T: UnwindSafe,

Blanket Implementations§

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impl<T> Any for Twhere T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for Twhere T: ?Sized,

const: unstable · source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

const: unstable · source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

const: unstable · source§

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere U: From<T>,

const: unstable · source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for Twhere T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
const: unstable · source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
const: unstable · source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> DeserializeOwned for Twhere T: for<'de> Deserialize<'de>,

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impl<T> IdType for Twhere T: Debug + Clone + Eq + Hash + 'static,

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impl<T> IdTypeMT for Twhere T: IdType + Sync + Send,

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impl<T> TextType for Twhere T: Eq + Hash + Clone + Debug,