[][src]Struct euclid::TypedTransform3D

#[repr(C)]
pub struct TypedTransform3D<T, Src, Dst> {
    pub m11: T,
    pub m12: T,
    pub m13: T,
    pub m14: T,
    pub m21: T,
    pub m22: T,
    pub m23: T,
    pub m24: T,
    pub m31: T,
    pub m32: T,
    pub m33: T,
    pub m34: T,
    pub m41: T,
    pub m42: T,
    pub m43: T,
    pub m44: T,
    // some fields omitted
}

A 3d transform stored as a 4 by 4 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, TypedTransform3D<f32, WorldSpace, ScreenSpace>::transform_point3d takes a TypedPoint3D<f32, WorldSpace> and returns a TypedPoint3D<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: Tm12: Tm13: Tm14: Tm21: Tm22: Tm23: Tm24: Tm31: Tm32: Tm33: Tm34: Tm41: Tm42: Tm43: Tm44: T

Methods

impl<T, Src, Dst> TypedTransform3D<T, Src, Dst>[src]

pub fn row_major(
    m11: T,
    m12: T,
    m13: T,
    m14: T,
    m21: T,
    m22: T,
    m23: T,
    m24: T,
    m31: T,
    m32: T,
    m33: T,
    m34: T,
    m41: T,
    m42: T,
    m43: T,
    m44: T
) -> Self
[src]

Create a transform specifying its components in row-major order.

For example, the translation terms m41, m42, m43 on the last row with the row-major convention) are the 13rd, 14th and 15th parameters.

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,
    m41: T,
    m12: T,
    m22: T,
    m32: T,
    m42: T,
    m13: T,
    m23: T,
    m33: T,
    m43: T,
    m14: T,
    m24: T,
    m34: T,
    m44: T
) -> Self
[src]

Create a transform specifying its components in column-major order.

For example, the translation terms m41, m42, m43 on the last column with the column-major convention) are the 4th, 8th and 12nd parameters.

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

impl<T, Src, Dst> TypedTransform3D<T, Src, Dst> where
    T: Copy + Clone + PartialEq + One + Zero
[src]

pub fn identity() -> Self[src]

impl<T, Src, Dst> TypedTransform3D<T, Src, Dst> where
    T: Copy + Clone + Add<T, Output = T> + Sub<T, Output = T> + Mul<T, Output = T> + Div<T, Output = T> + Neg<Output = T> + PartialOrd + Trig + One + Zero
[src]

pub fn row_major_2d(m11: T, m12: T, m21: T, m22: T, m41: T, m42: T) -> Self[src]

Create a 4 by 4 transform representing a 2d transformation, specifying its components in row-major order.

pub fn ortho(left: T, right: T, bottom: T, top: T, near: T, far: T) -> Self[src]

Create an orthogonal projection transform.

pub fn is_2d(&self) -> bool[src]

Returns true if this transform can be represented with a TypedTransform2D.

See https://drafts.csswg.org/css-transforms/#2d-transform

pub fn to_2d(&self) -> TypedTransform2D<T, Src, Dst>[src]

Create a 2D transform picking the relevant terms from this transform.

This method assumes that self represents a 2d transformation, callers should check that self.is_2d() returns true beforehand.

pub fn is_backface_visible(&self) -> bool[src]

Check whether shapes on the XY plane with Z pointing towards the screen transformed by this matrix would be facing back.

pub fn approx_eq(&self, other: &Self) -> bool where
    T: ApproxEq<T>, 
[src]

pub fn with_destination<NewDst>(&self) -> TypedTransform3D<T, Src, NewDst>[src]

Returns the same transform with a different destination unit.

pub fn with_source<NewSrc>(&self) -> TypedTransform3D<T, NewSrc, Dst>[src]

Returns the same transform with a different source unit.

pub fn to_untyped(&self) -> Transform3D<T>[src]

Drop the units, preserving only the numeric value.

pub fn from_untyped(m: &Transform3D<T>) -> Self[src]

Tag a unitless value with units.

pub fn post_mul<NewDst>(
    &self,
    mat: &TypedTransform3D<T, Dst, NewDst>
) -> TypedTransform3D<T, Src, NewDst>
[src]

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: &TypedTransform3D<T, NewSrc, Src>
) -> TypedTransform3D<T, NewSrc, Dst>
[src]

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 inverse(&self) -> Option<TypedTransform3D<T, Dst, Src>>[src]

Returns the inverse transform if possible.

pub fn determinant(&self) -> T[src]

Compute the determinant of the transform.

pub fn mul_s(&self, x: T) -> Self[src]

Multiplies all of the transform's component by a scalar and returns the result.

pub fn from_scale(scale: TypedScale<T, Src, Dst>) -> Self[src]

Convenience function to create a scale transform from a TypedScale.

pub fn transform_point2d_homogeneous(
    &self,
    p: &TypedPoint2D<T, Src>
) -> HomogeneousVector<T, Dst>
[src]

Returns the homogeneous vector corresponding to the transformed 2d point.

The input point must be use the unit Src, and the returned point has the unit Dst.

Assuming row vectors, this is equivalent to p * self

pub fn transform_point2d(
    &self,
    p: &TypedPoint2D<T, Src>
) -> Option<TypedPoint2D<T, Dst>>
[src]

Returns the given 2d point transformed by this transform, if the transform makes sense, or None otherwise.

The input point must be use the unit Src, and the returned point has the unit Dst.

Assuming row vectors, this is equivalent to p * self

pub fn transform_vector2d(
    &self,
    v: &TypedVector2D<T, Src>
) -> TypedVector2D<T, Dst>
[src]

Returns the given 2d vector transformed by this matrix.

The input point must be use the unit Src, and the returned point has the unit Dst.

Assuming row vectors, this is equivalent to v * self

pub fn transform_point3d_homogeneous(
    &self,
    p: &TypedPoint3D<T, Src>
) -> HomogeneousVector<T, Dst>
[src]

Returns the homogeneous vector corresponding to the transformed 3d point.

The input point must be use the unit Src, and the returned point has the unit Dst.

Assuming row vectors, this is equivalent to p * self

pub fn transform_point3d(
    &self,
    p: &TypedPoint3D<T, Src>
) -> Option<TypedPoint3D<T, Dst>>
[src]

Returns the given 3d point transformed by this transform, if the transform makes sense, or None otherwise.

The input point must be use the unit Src, and the returned point has the unit Dst.

Assuming row vectors, this is equivalent to p * self

pub fn transform_vector3d(
    &self,
    v: &TypedVector3D<T, Src>
) -> TypedVector3D<T, Dst>
[src]

Returns the given 3d vector transformed by this matrix.

The input point must be use the unit Src, and the returned point has the unit Dst.

Assuming row vectors, this is equivalent to v * self

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

Returns a rectangle that encompasses the result of transforming the given rectangle by this transform, if the transform makes sense for it, or None otherwise.

pub fn create_translation(x: T, y: T, z: T) -> Self[src]

Create a 3d translation transform

pub fn pre_translate(&self, v: TypedVector3D<T, Src>) -> Self[src]

Returns a transform with a translation applied before self's transformation.

pub fn post_translate(&self, v: TypedVector3D<T, Dst>) -> Self[src]

Returns a transform with a translation applied after self's transformation.

pub fn project_to_2d(&self) -> Self[src]

Returns a projection of this transform in 2d space.

pub fn create_scale(x: T, y: T, z: T) -> Self[src]

Create a 3d scale transform

pub fn pre_scale(&self, x: T, y: T, z: T) -> Self[src]

Returns a transform with a scale applied before self's transformation.

pub fn post_scale(&self, x: T, y: T, z: T) -> Self[src]

Returns a transform with a scale applied after self's transformation.

pub fn create_rotation(x: T, y: T, z: T, theta: Angle<T>) -> Self[src]

Create a 3d rotation transform from an angle / axis. The supplied axis must be normalized.

pub fn post_rotate(&self, x: T, y: T, z: T, theta: Angle<T>) -> Self[src]

Returns a transform with a rotation applied after self's transformation.

pub fn pre_rotate(&self, x: T, y: T, z: T, theta: Angle<T>) -> Self[src]

Returns a transform with a rotation applied before self's transformation.

pub fn create_skew(alpha: Angle<T>, beta: Angle<T>) -> Self[src]

pub fn create_perspective(d: T) -> Self[src]

Create a simple perspective projection transform

impl<T: Copy, Src, Dst> TypedTransform3D<T, Src, Dst>[src]

pub fn to_row_major_array(&self) -> [T; 16][src]

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; 16][src]

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; 4]; 4][src]

Returns an array containing this transform's 4 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), then please use to_column_arrays

pub fn to_column_arrays(&self) -> [[T; 4]; 4][src]

Returns an array containing this transform's 4 columns in (in row-major order, or 4 rows in column-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), then please use to_row_arrays

pub fn from_array(array: [T; 16]) -> Self[src]

Creates a transform from an array of 16 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 column-major data to this function.

pub fn from_row_arrays(array: [[T; 4]; 4]) -> Self[src]

Creates a transform from 4 rows of 4 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 column-major data to tis function.

impl<T0: NumCast + Copy, Src, Dst> TypedTransform3D<T0, Src, Dst>[src]

pub fn cast<T1: NumCast + Copy>(&self) -> TypedTransform3D<T1, Src, Dst>[src]

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

pub fn try_cast<T1: NumCast + Copy>(
    &self
) -> Option<TypedTransform3D<T1, Src, Dst>>
[src]

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

Trait Implementations

impl<T, Src, Dst> PartialEq<TypedTransform3D<T, Src, Dst>> for TypedTransform3D<T, Src, Dst> where
    T: PartialEq
[src]

#[must_use] fn ne(&self, other: &Rhs) -> bool1.0.0[src]

This method tests for !=.

impl<T, Src, Dst> Eq for TypedTransform3D<T, Src, Dst> where
    T: Eq
[src]

impl<T, Src, Dst> Hash for TypedTransform3D<T, Src, Dst> where
    T: Hash
[src]

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

Feeds a slice of this type into the given [Hasher]. Read more

impl<T, Src, Dst> Debug for TypedTransform3D<T, Src, Dst> where
    T: Copy + Debug + PartialEq + One + Zero
[src]

impl<T, Src, Dst> Copy for TypedTransform3D<T, Src, Dst> where
    T: Copy
[src]

impl<T, Src, Dst> Into<TypedTransform3D<T, Src, Dst>> for TypedTranslation3D<T, Src, Dst> where
    T: Copy + Clone + Add<T, Output = T> + Sub<T, Output = T> + Mul<T, Output = T> + Div<T, Output = T> + Neg<Output = T> + PartialOrd + Trig + One + Zero
[src]

impl<T, Src, Dst> Clone for TypedTransform3D<T, Src, Dst> where
    T: Clone
[src]

fn clone_from(&mut self, source: &Self)1.0.0[src]

Performs copy-assignment from source. Read more

impl<T, Src, Dst> Default for TypedTransform3D<T, Src, Dst> where
    T: Copy + PartialEq + One + Zero
[src]

Auto Trait Implementations

impl<T, Src, Dst> Unpin for TypedTransform3D<T, Src, Dst> where
    Dst: Unpin,
    Src: Unpin,
    T: Unpin

impl<T, Src, Dst> Send for TypedTransform3D<T, Src, Dst> where
    Dst: Send,
    Src: Send,
    T: Send

impl<T, Src, Dst> Sync for TypedTransform3D<T, Src, Dst> where
    Dst: Sync,
    Src: Sync,
    T: Sync

impl<T, Src, Dst> UnwindSafe for TypedTransform3D<T, Src, Dst> where
    Dst: UnwindSafe,
    Src: UnwindSafe,
    T: UnwindSafe

impl<T, Src, Dst> RefUnwindSafe for TypedTransform3D<T, Src, Dst> where
    Dst: RefUnwindSafe,
    Src: RefUnwindSafe,
    T: RefUnwindSafe

Blanket Implementations

impl<T, U> TryFrom<U> for T where
    U: Into<T>, 
[src]

type Error = Infallible

The type returned in the event of a conversion error.

impl<T, U> Into<U> for T where
    U: From<T>, 
[src]

impl<T> From<T> for T[src]

impl<T, U> TryInto<U> for T where
    U: TryFrom<T>, 
[src]

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

The type returned in the event of a conversion error.

impl<T> Borrow<T> for T where
    T: ?Sized
[src]

impl<T> BorrowMut<T> for T where
    T: ?Sized
[src]

impl<T> Any for T where
    T: 'static + ?Sized
[src]

impl<T> ToOwned for T where
    T: Clone
[src]

type Owned = T

The resulting type after obtaining ownership.