Struct Affine3A 

#[repr(C)]
pub struct Affine3A {
    pub matrix3: Mat3A,
    pub translation: Vec3A,
}

A 3D affine transform, which can represent translation, rotation, scaling and shear.

This type is 16 byte aligned.

Fields

matrix3: Mat3A

translation: Vec3A

Implementations

impl Affine3A

pub const ZERO: Affine3A

The degenerate zero transform.

This transforms any finite vector and point to zero. The zero transform is non-invertible.

pub const IDENTITY: Affine3A

The identity transform.

Multiplying a vector with this returns the same vector.

pub const NAN: Affine3A

All NAN:s.

pub const fn from_cols( x_axis: Vec3A, y_axis: Vec3A, z_axis: Vec3A, w_axis: Vec3A, ) -> Affine3A

Creates an affine transform from three column vectors.

pub fn from_cols_array(m: &[f32; 12]) -> Affine3A

Creates an affine transform from a [f32; 12] array stored in column major order.

pub fn to_cols_array(&self) -> [f32; 12]

Creates a [f32; 12] array storing data in column major order.

pub fn from_cols_array_2d(m: &[[f32; 3]; 4]) -> Affine3A

Creates an affine transform from a [[f32; 3]; 4] 3D array stored in column major order. If your data is in row major order you will need to transpose the returned matrix.

pub fn to_cols_array_2d(&self) -> [[f32; 3]; 4]

Creates a [[f32; 3]; 4] 3D array storing data in column major order. If you require data in row major order transpose the matrix first.

pub fn from_cols_slice(slice: &[f32]) -> Affine3A

Creates an affine transform from the first 12 values in slice.

Panics

Panics if slice is less than 12 elements long.

pub fn write_cols_to_slice(self, slice: &mut [f32])

Writes the columns of self to the first 12 elements in slice.

Panics

Panics if slice is less than 12 elements long.

pub fn from_scale(scale: Vec3) -> Affine3A

Creates an affine transform that changes scale. Note that if any scale is zero the transform will be non-invertible.

pub fn from_quat(rotation: Quat) -> Affine3A

Creates an affine transform from the given rotation quaternion.

pub fn from_axis_angle(axis: Vec3, angle: f32) -> Affine3A

Creates an affine transform containing a 3D rotation around a normalized rotation axis of angle (in radians).

pub fn from_rotation_x(angle: f32) -> Affine3A

Creates an affine transform containing a 3D rotation around the x axis of angle (in radians).

pub fn from_rotation_y(angle: f32) -> Affine3A

Creates an affine transform containing a 3D rotation around the y axis of angle (in radians).

pub fn from_rotation_z(angle: f32) -> Affine3A

Creates an affine transform containing a 3D rotation around the z axis of angle (in radians).

pub fn from_translation(translation: Vec3) -> Affine3A

Creates an affine transformation from the given 3D translation.

pub fn from_mat3(mat3: Mat3) -> Affine3A

Creates an affine transform from a 3x3 matrix (expressing scale, shear and rotation)

pub fn from_mat3_translation(mat3: Mat3, translation: Vec3) -> Affine3A

Creates an affine transform from a 3x3 matrix (expressing scale, shear and rotation) and a translation vector.

Equivalent to Affine3A::from_translation(translation) * Affine3A::from_mat3(mat3)

pub fn from_scale_rotation_translation( scale: Vec3, rotation: Quat, translation: Vec3, ) -> Affine3A

Creates an affine transform from the given 3D scale, rotation and translation.

Equivalent to Affine3A::from_translation(translation) * Affine3A::from_quat(rotation) * Affine3A::from_scale(scale)

pub fn from_rotation_translation(rotation: Quat, translation: Vec3) -> Affine3A

Creates an affine transform from the given 3D rotation and translation.

Equivalent to Affine3A::from_translation(translation) * Affine3A::from_quat(rotation)

pub fn from_mat4(m: Mat4) -> Affine3A

The given Mat4 must be an affine transform, i.e. contain no perspective transform.

pub fn to_scale_rotation_translation(&self) -> (Vec3, Quat, Vec3)

Extracts scale, rotation and translation from self.

The transform is expected to be non-degenerate and without shearing, or the output will be invalid.

Panics

Will panic if the determinant self.matrix3 is zero or if the resulting scale vector contains any zero elements when glam_assert is enabled.

pub fn look_to_lh(eye: Vec3, dir: Vec3, up: Vec3) -> Affine3A

Creates a left-handed view transform using a camera position, an up direction, and a facing direction.

For a view coordinate system with +X=right, +Y=up and +Z=forward.

pub fn look_to_rh(eye: Vec3, dir: Vec3, up: Vec3) -> Affine3A

Creates a right-handed view transform using a camera position, an up direction, and a facing direction.

For a view coordinate system with +X=right, +Y=up and +Z=back.

pub fn look_at_lh(eye: Vec3, center: Vec3, up: Vec3) -> Affine3A

Creates a left-handed view transform using a camera position, an up direction, and a focal point. For a view coordinate system with +X=right, +Y=up and +Z=forward.

Panics

Will panic if up is not normalized when glam_assert is enabled.

pub fn look_at_rh(eye: Vec3, center: Vec3, up: Vec3) -> Affine3A

Creates a right-handed view transform using a camera position, an up direction, and a focal point. For a view coordinate system with +X=right, +Y=up and +Z=back.

Panics

Will panic if up is not normalized when glam_assert is enabled.

pub fn transform_point3(&self, rhs: Vec3) -> Vec3

Transforms the given 3D points, applying shear, scale, rotation and translation.

pub fn transform_vector3(&self, rhs: Vec3) -> Vec3

Transforms the given 3D vector, applying shear, scale and rotation (but NOT translation).

To also apply translation, use Self::transform_point3() instead.

pub fn transform_point3a(&self, rhs: Vec3A) -> Vec3A

Transforms the given Vec3A, applying shear, scale, rotation and translation.

pub fn transform_vector3a(&self, rhs: Vec3A) -> Vec3A

Transforms the given Vec3A, applying shear, scale and rotation (but NOT translation).

To also apply translation, use Self::transform_point3a() instead.

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.

pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

pub fn abs_diff_eq(&self, rhs: Affine3A, max_abs_diff: f32) -> bool

Returns true if the absolute difference of all elements between self and rhs 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.

pub fn inverse(&self) -> Affine3A

Return the inverse of this transform.

Note that if the transform is not invertible the result will be invalid.

pub fn as_daffine3(&self) -> DAffine3

Casts all elements of self to f64.

Trait Implementations

impl AbsDiffEq for Affine3A

type Epsilon = <f32 as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> <Affine3A as AbsDiffEq>::Epsilon

The default tolerance to use when testing values that are close together.

fn abs_diff_eq( &self, other: &Affine3A, epsilon: <Affine3A as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl Clone for Affine3A

fn clone(&self) -> Affine3A

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Affine3A

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

Formats the value using the given formatter.

impl Default for Affine3A

fn default() -> Affine3A

Returns the “default value” for a type.

impl Deref for Affine3A

type Target = Cols4<Vec3A>

The resulting type after dereferencing.

fn deref(&self) -> &<Affine3A as Deref>::Target

Dereferences the value.

impl DerefMut for Affine3A

fn deref_mut(&mut self) -> &mut <Affine3A as Deref>::Target

Mutably dereferences the value.

impl<'de> Deserialize<'de> for Affine3A

Deserialize expects a sequence of 12 values.

fn deserialize<D>( deserializer: D, ) -> Result<Affine3A, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Affine3A

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

Formats the value using the given formatter.

impl From<Affine3A> for Mat4

fn from(m: Affine3A) -> Mat4

Converts to this type from the input type.

impl Mul<&Affine3A> for &Affine3A

type Output = Affine3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Affine3A) -> Affine3A

Performs the * operation.

impl Mul<&Affine3A> for &Mat4

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: &Affine3A) -> Mat4

Performs the * operation.

impl Mul<&Affine3A> for Affine3A

type Output = Affine3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Affine3A) -> Affine3A

Performs the * operation.

impl Mul<&Affine3A> for Mat4

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: &Affine3A) -> Mat4

Performs the * operation.

impl Mul<&Mat4> for &Affine3A

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat4) -> Mat4

Performs the * operation.

impl Mul<&Mat4> for Affine3A

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat4) -> Mat4

Performs the * operation.

impl Mul<Affine3A> for &Affine3A

type Output = Affine3A

The resulting type after applying the * operator.

fn mul(self, rhs: Affine3A) -> Affine3A

Performs the * operation.

impl Mul<Affine3A> for &Mat4

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: Affine3A) -> Mat4

Performs the * operation.

impl Mul<Affine3A> for Mat4

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: Affine3A) -> Mat4

Performs the * operation.

impl Mul<Mat4> for &Affine3A

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: Mat4) -> Mat4

Performs the * operation.

impl Mul<Mat4> for Affine3A

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, rhs: Mat4) -> <Affine3A as Mul<Mat4>>::Output

Performs the * operation.

impl Mul for Affine3A

type Output = Affine3A

The resulting type after applying the * operator.

fn mul(self, rhs: Affine3A) -> Affine3A

Performs the * operation.

impl MulAssign<&Affine3A> for Affine3A

fn mul_assign(&mut self, rhs: &Affine3A)

Performs the *= operation.

impl MulAssign<&Affine3A> for Mat4

fn mul_assign(&mut self, rhs: &Affine3A)

Performs the *= operation.

impl MulAssign<Affine3A> for Mat4

fn mul_assign(&mut self, rhs: Affine3A)

Performs the *= operation.

impl MulAssign for Affine3A

fn mul_assign(&mut self, rhs: Affine3A)

Performs the *= operation.

impl PartialEq for Affine3A

fn eq(&self, rhs: &Affine3A) -> bool

Tests for self and other values to be equal, and is used by ==.

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

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

impl<'a> Product<&'a Affine3A> for Affine3A

fn product<I>(iter: I) -> Affine3A

where I: Iterator<Item = &'a Affine3A>,

Takes an iterator and generates Self from the elements by multiplying the items.

impl RelativeEq for Affine3A

fn default_max_relative() -> <Affine3A as AbsDiffEq>::Epsilon

The default relative tolerance for testing values that are far-apart.

fn relative_eq( &self, other: &Affine3A, epsilon: <Affine3A as AbsDiffEq>::Epsilon, max_relative: <Affine3A as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.

impl Serialize for Affine3A

Serialize as a sequence of 12 values.

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.

impl UlpsEq for Affine3A

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

fn ulps_eq( &self, other: &Affine3A, epsilon: <Affine3A as AbsDiffEq>::Epsilon, max_ulps: u32, ) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

impl Zeroable for Affine3A

fn zeroed() -> Self

Calls zeroed.

impl AnyBitPattern for Affine3A

impl Copy for Affine3A