Struct ggez::graphics::na::Isometry

#[repr(C)]
pub struct Isometry<N, D, R> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>,  {
    pub rotation: R,
    pub translation: Translation<N, D>,
    // some fields omitted
}

A direct isometry, i.e., a rotation followed by a translation.

Fields

rotation: R

The pure rotational part of this isometry.

translation: Translation<N, D>

The pure translational part of this isometry.

Methods

impl<N, D, R> Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn from_parts(translation: Translation<N, D>, rotation: R) -> Isometry<N, D, R>

Creates a new isometry from its rotational and translational parts.

fn inverse(&self) -> Isometry<N, D, R>

Inverts self.

fn inverse_mut(&mut self)

Inverts self.

fn append_translation_mut(&mut self, t: &Translation<N, D>)

Appends to self the given translation in-place.

fn append_rotation_mut(&mut self, r: &R)

Appends to self the given rotation in-place.

fn append_rotation_wrt_point_mut(&mut self, r: &R, p: &Point<N, D>)

Appends in-place to self a rotation centered at the point p, i.e., the rotation that lets p invariant.

fn append_rotation_wrt_center_mut(&mut self, r: &R)

Appends in-place to self a rotation centered at the point with coordinates self.translation.

impl<N, D, R> Isometry<N, D, R> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

fn to_homogeneous(
    &self
) -> Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer> where
    D: DimNameAdd<U1>,
    R: SubsetOf<Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

Converts this isometry into its equivalent homogeneous transformation matrix.

impl<N, D, R> Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn identity() -> Isometry<N, D, R>

Creates a new identity isometry.

fn rotation_wrt_point(r: R, p: Point<N, D>) -> Isometry<N, D, R>

The isometry that applies the rotation r with its axis passing through the point p. This effectively lets p invariant.

impl<N> Isometry<N, U2, Rotation<N, U2>> where
    N: Real, 

fn new(
    translation: Matrix<N, U2, U1, <DefaultAllocator as Allocator<N, U2, U1>>::Buffer>,
    angle: N
) -> Isometry<N, U2, Rotation<N, U2>>

Creates a new isometry from a translation and a rotation angle.

impl<N> Isometry<N, U2, Unit<Complex<N>>> where
    N: Real, 

fn new(
    translation: Matrix<N, U2, U1, <DefaultAllocator as Allocator<N, U2, U1>>::Buffer>,
    angle: N
) -> Isometry<N, U2, Unit<Complex<N>>>

Creates a new isometry from a translation and a rotation angle.

impl<N> Isometry<N, U3, Rotation<N, U3>> where
    N: Real, 

fn new(
    translation: Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>,
    axisangle: Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Rotation<N, U3>>

Creates a new isometry from a translation and a rotation axis-angle.

fn new_observer_frame(
    eye: &Point<N, U3>,
    target: &Point<N, U3>,
    up: &Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Rotation<N, U3>>

Creates an isometry that corresponds to the local frame of an observer standing at the point eye and looking toward target.

It maps the view direction target - eye to the positive z axis and the origin to the eye.

Arguments

• eye - The observer position.
• target - The target position.
• up - Vertical direction. The only requirement of this parameter is to not be collinear to eye - at. Non-collinearity is not checked.

fn look_at_rh(
    eye: &Point<N, U3>,
    target: &Point<N, U3>,
    up: &Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Rotation<N, U3>>

Builds a right-handed look-at view matrix.

This conforms to the common notion of right handed look-at matrix from the computer graphics community.

Arguments

• eye - The eye position.
• target - The target position.
• up - A vector approximately aligned with required the vertical axis. The only requirement of this parameter is to not be collinear to target - eye.

fn look_at_lh(
    eye: &Point<N, U3>,
    target: &Point<N, U3>,
    up: &Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Rotation<N, U3>>

Builds a left-handed look-at view matrix.

This conforms to the common notion of left handed look-at matrix from the computer graphics community.

Arguments

• eye - The eye position.
• target - The target position.
• up - A vector approximately aligned with required the vertical axis. The only requirement of this parameter is to not be collinear to target - eye.

impl<N> Isometry<N, U3, Unit<Quaternion<N>>> where
    N: Real, 

fn new(
    translation: Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>,
    axisangle: Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Unit<Quaternion<N>>>

Creates a new isometry from a translation and a rotation axis-angle.

fn new_observer_frame(
    eye: &Point<N, U3>,
    target: &Point<N, U3>,
    up: &Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Unit<Quaternion<N>>>

Creates an isometry that corresponds to the local frame of an observer standing at the point eye and looking toward target.

It maps the view direction target - eye to the positive z axis and the origin to the eye.

Arguments

• eye - The observer position.
• target - The target position.
• up - Vertical direction. The only requirement of this parameter is to not be collinear to eye - at. Non-collinearity is not checked.

fn look_at_rh(
    eye: &Point<N, U3>,
    target: &Point<N, U3>,
    up: &Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Unit<Quaternion<N>>>

Builds a right-handed look-at view matrix.

This conforms to the common notion of right handed look-at matrix from the computer graphics community.

Arguments

• eye - The eye position.
• target - The target position.
• up - A vector approximately aligned with required the vertical axis. The only requirement of this parameter is to not be collinear to target - eye.

fn look_at_lh(
    eye: &Point<N, U3>,
    target: &Point<N, U3>,
    up: &Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer>
) -> Isometry<N, U3, Unit<Quaternion<N>>>

Builds a left-handed look-at view matrix.

This conforms to the common notion of left handed look-at matrix from the computer graphics community.

Arguments

• eye - The eye position.
• target - The target position.
• up - A vector approximately aligned with required the vertical axis. The only requirement of this parameter is to not be collinear to target - eye.

Trait Implementations

impl<N, D, R> Rand for Isometry<N, D, R> where
    D: DimName,
    N: Rand + Real,
    R: Rotation<Point<N, D>> + Rand,
    DefaultAllocator: Allocator<N, D, U1>, 

fn rand<G>(rng: &mut G) -> Isometry<N, D, R> where
    G: Rng, 

impl<N, D, R> Copy for Isometry<N, D, R> where
    D: DimName + Copy,
    N: Real,
    R: Copy + Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Copy, 

impl<N, D, R> Clone for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Clone + Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn clone(&self) -> Isometry<N, D, R>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N, D, R> AbstractMonoid<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N1, N2, D, R1, R2> SubsetOf<Similarity<N2, D, R2>> for Isometry<N1, D, R1> where
    D: DimName,
    N1: Real,
    N2: Real + SupersetOf<N1>,
    R1: Rotation<Point<N1, D>> + SubsetOf<R2>,
    R2: Rotation<Point<N2, D>>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>, 

fn to_superset(&self) -> Similarity<N2, D, R2>

fn is_in_subset(sim: &Similarity<N2, D, R2>) -> bool

unsafe fn from_superset_unchecked(
    sim: &Similarity<N2, D, R2>
) -> Isometry<N1, D, R1>

impl<N1, N2, D, R> SubsetOf<Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>> for Isometry<N1, D, R> where
    D: DimNameAdd<U1> + DimMin<D, Output = D>,
    N1: Real,
    N2: Real + SupersetOf<N1>,
    R: Rotation<Point<N1, D>> + SubsetOf<Matrix<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>> + SubsetOf<Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N1, D, D>,
    DefaultAllocator: Allocator<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<(usize, usize), D, U1>,
    DefaultAllocator: Allocator<N2, D, D>,
    DefaultAllocator: Allocator<N2, D, U1>, 

fn to_superset(
    &self
) -> Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>

fn is_in_subset(
    m: &Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>
) -> bool

unsafe fn from_superset_unchecked(
    m: &Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>
) -> Isometry<N1, D, R>

impl<N1, N2, D, R, C> SubsetOf<Transform<N2, D, C>> for Isometry<N1, D, R> where
    C: SuperTCategoryOf<TAffine>,
    D: DimNameAdd<U1> + DimMin<D, Output = D>,
    N1: Real,
    N2: Real + SupersetOf<N1>,
    R: Rotation<Point<N1, D>> + SubsetOf<Matrix<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>> + SubsetOf<Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N1, D, D>,
    DefaultAllocator: Allocator<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<(usize, usize), D, U1>,
    DefaultAllocator: Allocator<N2, D, D>,
    DefaultAllocator: Allocator<N2, D, U1>, 

fn to_superset(&self) -> Transform<N2, D, C>

fn is_in_subset(t: &Transform<N2, D, C>) -> bool

unsafe fn from_superset_unchecked(t: &Transform<N2, D, C>) -> Isometry<N1, D, R>

impl<N1, N2, D, R1, R2> SubsetOf<Isometry<N2, D, R2>> for Isometry<N1, D, R1> where
    D: DimName,
    N1: Real,
    N2: Real + SupersetOf<N1>,
    R1: Rotation<Point<N1, D>> + SubsetOf<R2>,
    R2: Rotation<Point<N2, D>>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>, 

fn to_superset(&self) -> Isometry<N2, D, R2>

fn is_in_subset(iso: &Isometry<N2, D, R2>) -> bool

unsafe fn from_superset_unchecked(
    iso: &Isometry<N2, D, R2>
) -> Isometry<N1, D, R1>

impl<N, D, R> Inverse<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn inverse(&self) -> Isometry<N, D, R>

fn inverse_mut(&mut self)

impl<N, D, R> ProjectiveTransformation<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn inverse_transform_point(&self, pt: &Point<N, D>) -> Point<N, D>

fn inverse_transform_vector(
    &self,
    v: &Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

impl<N, D, R> Isometry<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> AffineTransformation<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Rotation = R

type NonUniformScaling = Id<Multiplicative>

type Translation = Translation<N, D>

fn decompose(&self) -> (Translation<N, D>, R, Id<Multiplicative>, R)

fn append_translation(
    &self,
    t: &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::Translation
) -> Isometry<N, D, R>

fn prepend_translation(
    &self,
    t: &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::Translation
) -> Isometry<N, D, R>

fn append_rotation(
    &self,
    r: &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::Rotation
) -> Isometry<N, D, R>

fn prepend_rotation(
    &self,
    r: &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::Rotation
) -> Isometry<N, D, R>

fn append_scaling(
    &self,
    &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::NonUniformScaling
) -> Isometry<N, D, R>

fn prepend_scaling(
    &self,
    &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::NonUniformScaling
) -> Isometry<N, D, R>

fn append_rotation_wrt_point(
    &self,
    r: &<Isometry<N, D, R> as AffineTransformation<Point<N, D>>>::Rotation,
    p: &Point<N, D>
) -> Option<Isometry<N, D, R>>

impl<N, D, R> Transformation<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn transform_point(&self, pt: &Point<N, D>) -> Point<N, D>

fn transform_vector(
    &self,
    v: &Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

impl<'a, 'b, N, D, R> Div<&'b Similarity<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn div(
    self,
    rhs: &'b Similarity<N, D, R>
) -> <&'a Isometry<N, D, R> as Div<&'b Similarity<N, D, R>>>::Output

impl<'a, 'b, N, D, R> Div<&'b Isometry<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(
    self,
    rhs: &'b Isometry<N, D, R>
) -> <&'a Isometry<N, D, R> as Div<&'b Isometry<N, D, R>>>::Output

impl<'a, 'b, N, D, R> Div<&'b R> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(self, rhs: &'b R) -> <&'a Isometry<N, D, R> as Div<&'b R>>::Output

impl<N, D, R> Div<R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(self, rhs: R) -> <Isometry<N, D, R> as Div<R>>::Output

impl<'a, N, D, R> Div<R> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(self, rhs: R) -> <&'a Isometry<N, D, R> as Div<R>>::Output

impl<'b, N, D, R> Div<&'b Similarity<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn div(
    self,
    rhs: &'b Similarity<N, D, R>
) -> <Isometry<N, D, R> as Div<&'b Similarity<N, D, R>>>::Output

impl<'a, N, D, R> Div<Isometry<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(
    self,
    rhs: Isometry<N, D, R>
) -> <&'a Isometry<N, D, R> as Div<Isometry<N, D, R>>>::Output

impl<'b, N, D, R> Div<&'b Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(
    self,
    rhs: &'b Isometry<N, D, R>
) -> <Isometry<N, D, R> as Div<&'b Isometry<N, D, R>>>::Output

impl<N, D, R> Div<Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(
    self,
    rhs: Isometry<N, D, R>
) -> <Isometry<N, D, R> as Div<Isometry<N, D, R>>>::Output

impl<'a, N, D, R> Div<Similarity<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn div(
    self,
    rhs: Similarity<N, D, R>
) -> <&'a Isometry<N, D, R> as Div<Similarity<N, D, R>>>::Output

impl<'b, N, D, R> Div<&'b R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn div(self, rhs: &'b R) -> <Isometry<N, D, R> as Div<&'b R>>::Output

impl<N, D, R> Div<Similarity<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn div(
    self,
    rhs: Similarity<N, D, R>
) -> <Isometry<N, D, R> as Div<Similarity<N, D, R>>>::Output

impl<N, D, R> AbstractSemigroup<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> AbstractLoop<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> DivAssign<R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn div_assign(&mut self, rhs: R)

impl<'b, N, D, R> DivAssign<&'b R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn div_assign(&mut self, rhs: &'b R)

impl<'b, N, D, R> DivAssign<&'b Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn div_assign(&mut self, rhs: &'b Isometry<N, D, R>)

impl<N, D, R> DivAssign<Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn div_assign(&mut self, rhs: Isometry<N, D, R>)

impl<N, D, R> ApproxEq for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>> + ApproxEq<Epsilon = <N as ApproxEq>::Epsilon>,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as ApproxEq>::Epsilon: Copy, 

type Epsilon = <N as ApproxEq>::Epsilon

fn default_epsilon() -> <Isometry<N, D, R> as ApproxEq>::Epsilon

fn default_max_relative() -> <Isometry<N, D, R> as ApproxEq>::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Isometry<N, D, R>,
    epsilon: <Isometry<N, D, R> as ApproxEq>::Epsilon,
    max_relative: <Isometry<N, D, R> as ApproxEq>::Epsilon
) -> bool

fn ulps_eq(
    &self,
    other: &Isometry<N, D, R>,
    epsilon: <Isometry<N, D, R> as ApproxEq>::Epsilon,
    max_ulps: u32
) -> bool

impl<N, D, R> Hash for Isometry<N, D, R> where
    D: DimName + Hash,
    N: Hash + Real,
    R: Hash,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Hash, 

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

Feeds this value into the given [Hasher].

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

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

impl<N, D, R> Similarity<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Scaling = Id<Multiplicative>

fn translation(&self) -> Translation<N, D>

fn rotation(&self) -> R

fn scaling(&self) -> Id<Multiplicative>

impl<N, D, R> PartialEq<Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>> + PartialEq<R>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn eq(&self, right: &Isometry<N, D, R>) -> bool

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

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

This method tests for !=.

impl<N, D, R> Debug for Isometry<N, D, R> where
    D: DimName + Debug,
    N: Debug + Real,
    R: Debug,
    DefaultAllocator: Allocator<N, D, U1>, 

fn fmt(&self, __arg_0: &mut Formatter) -> Result<(), Error>

Formats the value using the given formatter.

impl<N, D, R> DirectIsometry<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> AbstractQuasigroup<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> AbstractGroup<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> One for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn one() -> Isometry<N, D, R>

Creates a new identity isometry.

impl<N, D, R> Identity<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn identity() -> Isometry<N, D, R>

impl<N, D, R> Eq for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>> + Eq,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D, R> MulAssign<Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn mul_assign(&mut self, rhs: Isometry<N, D, R>)

impl<'b, N, D, R> MulAssign<&'b Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn mul_assign(&mut self, rhs: &'b Translation<N, D>)

impl<N, D, R> MulAssign<Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn mul_assign(&mut self, rhs: Translation<N, D>)

impl<'b, N, D, R> MulAssign<&'b R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn mul_assign(&mut self, rhs: &'b R)

impl<N, D, R> MulAssign<R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn mul_assign(&mut self, rhs: R)

impl<'b, N, D, R> MulAssign<&'b Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn mul_assign(&mut self, rhs: &'b Isometry<N, D, R>)

impl<N, D, R> AbstractMagma<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn operate(&self, rhs: &Isometry<N, D, R>) -> Isometry<N, D, R>

impl<'a, 'b, N, D, R> Mul<&'b R> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(self, rhs: &'b R) -> <&'a Isometry<N, D, R> as Mul<&'b R>>::Output

impl<'b, N, D, R> Mul<&'b Similarity<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn mul(
    self,
    rhs: &'b Similarity<N, D, R>
) -> <Isometry<N, D, R> as Mul<&'b Similarity<N, D, R>>>::Output

impl<'a, 'b, N, D, R> Mul<&'b Translation<N, D>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    right: &'b Translation<N, D>
) -> <&'a Isometry<N, D, R> as Mul<&'b Translation<N, D>>>::Output

impl<'b, N, D, C, R> Mul<&'b Transform<N, D, C>> for Isometry<N, D, R> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + Real,
    R: SubsetOf<Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

fn mul(
    self,
    rhs: &'b Transform<N, D, C>
) -> <Isometry<N, D, R> as Mul<&'b Transform<N, D, C>>>::Output

impl<N, D, R> Mul<Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

fn mul(
    self,
    right: Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> <Isometry<N, D, R> as Mul<Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>>>::Output

impl<'b, N, D, R> Mul<&'b R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(self, rhs: &'b R) -> <Isometry<N, D, R> as Mul<&'b R>>::Output

impl<'a, N, D, C, R> Mul<Transform<N, D, C>> for &'a Isometry<N, D, R> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + Real,
    R: SubsetOf<Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

fn mul(
    self,
    rhs: Transform<N, D, C>
) -> <&'a Isometry<N, D, R> as Mul<Transform<N, D, C>>>::Output

impl<'a, 'b, N, D, R> Mul<&'b Isometry<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    rhs: &'b Isometry<N, D, R>
) -> <&'a Isometry<N, D, R> as Mul<&'b Isometry<N, D, R>>>::Output

impl<'a, 'b, N, D, C, R> Mul<&'b Transform<N, D, C>> for &'a Isometry<N, D, R> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + Real,
    R: SubsetOf<Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

fn mul(
    self,
    rhs: &'b Transform<N, D, C>
) -> <&'a Isometry<N, D, R> as Mul<&'b Transform<N, D, C>>>::Output

impl<N, D, R> Mul<Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    right: Translation<N, D>
) -> <Isometry<N, D, R> as Mul<Translation<N, D>>>::Output

impl<'a, 'b, N, D, R> Mul<&'b Similarity<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn mul(
    self,
    rhs: &'b Similarity<N, D, R>
) -> <&'a Isometry<N, D, R> as Mul<&'b Similarity<N, D, R>>>::Output

impl<N, D, R> Mul<R> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(self, rhs: R) -> <Isometry<N, D, R> as Mul<R>>::Output

impl<'a, N, D, R> Mul<R> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(self, rhs: R) -> <&'a Isometry<N, D, R> as Mul<R>>::Output

impl<'b, N, D, R> Mul<&'b Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Point<N, D>

fn mul(
    self,
    right: &'b Point<N, D>
) -> <Isometry<N, D, R> as Mul<&'b Point<N, D>>>::Output

impl<'b, N, D, R> Mul<&'b Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    rhs: &'b Isometry<N, D, R>
) -> <Isometry<N, D, R> as Mul<&'b Isometry<N, D, R>>>::Output

impl<'a, N, D, R> Mul<Similarity<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn mul(
    self,
    rhs: Similarity<N, D, R>
) -> <&'a Isometry<N, D, R> as Mul<Similarity<N, D, R>>>::Output

impl<N, D, R> Mul<Similarity<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

fn mul(
    self,
    rhs: Similarity<N, D, R>
) -> <Isometry<N, D, R> as Mul<Similarity<N, D, R>>>::Output

impl<'a, N, D, R> Mul<Isometry<N, D, R>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    rhs: Isometry<N, D, R>
) -> <&'a Isometry<N, D, R> as Mul<Isometry<N, D, R>>>::Output

impl<N, D, C, R> Mul<Transform<N, D, C>> for Isometry<N, D, R> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + Real,
    R: SubsetOf<Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

fn mul(
    self,
    rhs: Transform<N, D, C>
) -> <Isometry<N, D, R> as Mul<Transform<N, D, C>>>::Output

impl<'b, N, D, R> Mul<&'b Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    right: &'b Translation<N, D>
) -> <Isometry<N, D, R> as Mul<&'b Translation<N, D>>>::Output

impl<'a, 'b, N, D, R> Mul<&'b Point<N, D>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Point<N, D>

fn mul(
    self,
    right: &'b Point<N, D>
) -> <&'a Isometry<N, D, R> as Mul<&'b Point<N, D>>>::Output

impl<'a, N, D, R> Mul<Translation<N, D>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    right: Translation<N, D>
) -> <&'a Isometry<N, D, R> as Mul<Translation<N, D>>>::Output

impl<'a, N, D, R> Mul<Point<N, D>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Point<N, D>

fn mul(
    self,
    right: Point<N, D>
) -> <&'a Isometry<N, D, R> as Mul<Point<N, D>>>::Output

impl<'b, N, D, R> Mul<&'b Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

fn mul(
    self,
    right: &'b Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> <Isometry<N, D, R> as Mul<&'b Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>>>::Output

impl<N, D, R> Mul<Isometry<N, D, R>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

fn mul(
    self,
    rhs: Isometry<N, D, R>
) -> <Isometry<N, D, R> as Mul<Isometry<N, D, R>>>::Output

impl<'a, 'b, N, D, R> Mul<&'b Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

fn mul(
    self,
    right: &'b Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> <&'a Isometry<N, D, R> as Mul<&'b Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>>>::Output

impl<N, D, R> Mul<Point<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Point<N, D>

fn mul(
    self,
    right: Point<N, D>
) -> <Isometry<N, D, R> as Mul<Point<N, D>>>::Output

impl<'a, N, D, R> Mul<Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

fn mul(
    self,
    right: Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> <&'a Isometry<N, D, R> as Mul<Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>>>::Output

impl<N, D, R> Display for Isometry<N, D, R> where
    D: DimName,
    N: Display + Real,
    R: Display,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<usize, D, U1>, 

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

Formats the value using the given formatter.