Pose3A

Struct Pose3A 

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pub struct Pose3A {
    pub rotation: Rot3,
    pub translation: Vec3A,
}
Expand description

A 3D pose (rotation + translation), representing a rigid body transformation (f32 precision).

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§rotation: Rot3

The rotational part of the pose.

§translation: Vec3A

The translational part of the pose.

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impl Pose3A

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pub const IDENTITY: Self

The identity pose (no rotation, no translation).

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pub fn identity() -> Self

Creates the identity pose.

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pub fn from_translation(translation: Vec3A) -> Self

Creates a pose from a translation vector.

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pub fn translation(x: f32, y: f32, z: f32) -> Self

Creates a pose from translation components.

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pub fn from_rotation(rotation: Rot3) -> Self

Creates a pose from a rotation.

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pub fn from_parts(translation: Vec3A, rotation: Rot3) -> Self

Creates a pose from translation and rotation parts.

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pub fn new(translation: Vec3A, axisangle: Vec3A) -> Self

Creates a pose from translation and axis-angle rotation.

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pub fn rotation(axisangle: Vec3A) -> Self

Creates a pose from axis-angle rotation only (no translation).

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pub fn prepend_translation(self, translation: Vec3A) -> Self

Prepends a translation to this pose (applies translation in local frame).

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pub fn append_translation(self, translation: Vec3A) -> Self

Appends a translation to this pose (applies translation in world frame).

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pub fn inverse(&self) -> Self

Returns the inverse of this pose.

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pub fn inv_mul(&self, rhs: &Self) -> Self

Computes self.inverse() * rhs.

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pub fn transform_point(&self, p: Vec3A) -> Vec3A

Transforms a 3D point by this pose.

This applies both the rotation and translation.

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pub fn transform_vector(&self, v: Vec3A) -> Vec3A

Transforms a 3D vector by this pose.

This applies only the rotation (ignores translation).

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pub fn inverse_transform_point(&self, p: Vec3A) -> Vec3A

Transforms a point by the inverse of this pose.

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pub fn inverse_transform_vector(&self, v: Vec3A) -> Vec3A

Transforms a vector by the inverse of this pose.

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pub fn lerp(&self, other: &Self, t: f32) -> Self

Linearly interpolates between two poses.

Uses spherical linear interpolation for the rotation part.

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pub fn is_finite(&self) -> bool

Returns true if, and only if, all elements are finite.

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pub fn is_nan(&self) -> bool

Returns true if any element is NaN.

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pub fn to_mat4(&self) -> Mat4

Converts this pose to a homogeneous 4x4 matrix.

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pub fn from_mat4(mat: Mat4) -> Self

Creates a pose from a homogeneous 4x4 matrix.

The matrix is assumed to represent a rigid body transformation (rotation + translation only, no scaling or shearing).

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pub fn look_at_rh(eye: Vec3A, target: Vec3A, up: Vec3A) -> Pose3A

Builds a right-handed look-at view matrix.

It maps the view direction target - eye to the negative z axis to and the eye to the origin. This conforms to the common notion of right-handed camera look-at view matrix from the computer graphics community, i.e. the camera is assumed to look toward its local -z axis.

§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.
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pub fn face_towards(eye: Vec3A, target: Vec3A, up: Vec3A) -> Pose3A

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

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

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impl AbsDiffEq for Pose3A

Available on crate feature approx only.
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type Epsilon = f32

Used for specifying relative comparisons.
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fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together. Read more
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fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.
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fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.
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impl Clone for Pose3A

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fn clone(&self) -> Pose3A

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Pose3A

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

Formats the value using the given formatter. Read more
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impl Default for Pose3A

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl From<DPose3> for Pose3A

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fn from(p: DPose3) -> Self

Converts to this type from the input type.
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impl From<Pose3> for Pose3A

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fn from(p: Pose3) -> Self

Converts to this type from the input type.
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impl From<Pose3A> for DPose3

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fn from(p: Pose3A) -> Self

Converts to this type from the input type.
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impl From<Pose3A> for Pose3

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fn from(p: Pose3A) -> Self

Converts to this type from the input type.
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impl From<Quat> for Pose3A

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fn from(rotation: Rot3) -> Self

Converts to this type from the input type.
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impl Mul<&Pose3A> for &Pose3A

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type Output = Pose3A

The resulting type after applying the * operator.
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fn mul(self, rhs: &Pose3A) -> Self::Output

Performs the * operation. Read more
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impl Mul<&Pose3A> for Pose3A

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type Output = Pose3A

The resulting type after applying the * operator.
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fn mul(self, rhs: &Pose3A) -> Self::Output

Performs the * operation. Read more
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impl Mul<&Vec3A> for Pose3A

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type Output = Vec3A

The resulting type after applying the * operator.
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fn mul(self, rhs: &Vec3A) -> Self::Output

Performs the * operation. Read more
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impl Mul<Pose3A> for &Pose3A

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type Output = Pose3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Pose3A) -> Self::Output

Performs the * operation. Read more
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impl Mul<Pose3A> for Rot3

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type Output = Pose3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Pose3A) -> Self::Output

Performs the * operation. Read more
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impl Mul<Quat> for Pose3A

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type Output = Pose3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Rot3) -> Self::Output

Performs the * operation. Read more
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impl Mul<Vec3A> for &Pose3A

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type Output = Vec3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Vec3A) -> Self::Output

Performs the * operation. Read more
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impl Mul<Vec3A> for Pose3A

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type Output = Vec3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Vec3A) -> Self::Output

Performs the * operation. Read more
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impl Mul for Pose3A

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type Output = Pose3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more
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impl MulAssign<Quat> for Pose3A

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fn mul_assign(&mut self, rhs: Rot3)

Performs the *= operation. Read more
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impl MulAssign for Pose3A

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl PartialEq for Pose3A

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fn eq(&self, other: &Pose3A) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl RelativeEq for Pose3A

Available on crate feature approx only.
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fn default_max_relative() -> Self::Epsilon

The default relative tolerance for testing values that are far-apart. Read more
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fn relative_eq( &self, other: &Self, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.
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fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.
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impl Copy for Pose3A

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impl StructuralPartialEq for Pose3A

Auto Trait Implementations§

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impl Freeze for Pose3A

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impl RefUnwindSafe for Pose3A

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impl Send for Pose3A

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impl Sync for Pose3A

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impl Unpin for Pose3A

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impl UnwindSafe for Pose3A

Blanket Implementations§

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impl<T> Any for T
where 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 T
where T: ?Sized,

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fn borrow(&self) -> &T

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

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, W> HasTypeWitness<W> for T
where W: MakeTypeWitness<Arg = T>, T: ?Sized,

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const WITNESS: W = W::MAKE

A constant of the type witness
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impl<T> Identity for T
where T: ?Sized,

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const TYPE_EQ: TypeEq<T, <T as Identity>::Type> = TypeEq::NEW

Proof that Self is the same type as Self::Type, provides methods for casting between Self and Self::Type.
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type Type = T

The same type as Self, used to emulate type equality bounds (T == U) with associated type equality constraints (T: Identity<Type = U>).
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impl<T, U> Into<U> for T
where U: From<T>,

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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<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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impl<T> ToOwned for T
where 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 T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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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 T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T, Right> ClosedMul<Right> for T
where T: Mul<Right, Output = T> + MulAssign<Right>,

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impl<T, Right> ClosedMulAssign<Right> for T
where T: ClosedMul<Right> + MulAssign<Right>,