Struct bevy::math::Affine3A

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

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

This type is 16 byte aligned.

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§matrix3: Mat3A§translation: Vec3A

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impl Affine3A

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pub const ZERO: Affine3A = _

The degenerate zero transform.

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

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pub const IDENTITY: Affine3A = _

The identity transform.

Multiplying a vector with this returns the same vector.

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pub const NAN: Affine3A = _

All NAN:s.

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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.

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

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

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

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

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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.

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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.

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

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

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Panics if slice is less than 12 elements long.

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

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

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Panics if slice is less than 12 elements long.

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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.

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pub fn from_quat(rotation: Quat) -> Affine3A

Creates an affine transform from the given rotation quaternion.

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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).

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pub fn from_rotation_x(angle: f32) -> Affine3A

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

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pub fn from_rotation_y(angle: f32) -> Affine3A

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

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pub fn from_rotation_z(angle: f32) -> Affine3A

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

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pub fn from_translation(translation: Vec3) -> Affine3A

Creates an affine transformation from the given 3D translation.

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pub fn from_mat3(mat3: Mat3) -> Affine3A

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

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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)

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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)

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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)

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pub fn from_mat4(m: Mat4) -> Affine3A

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

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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.

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

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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.

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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.

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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.

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

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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.

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

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

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

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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.

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

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

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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.

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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.

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pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

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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.

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pub fn inverse(&self) -> Affine3A

Return the inverse of this transform.

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

Trait Implementations§

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impl Clone for Affine3A

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fn clone(&self) -> Affine3A

Returns a copy 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 Affine3A

Available on non-target_arch="spirv" only.
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fn fmt(&self, fmt: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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impl Default for Affine3A

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fn default() -> Affine3A

Returns the “default value” for a type. Read more
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impl Deref for Affine3A

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type Target = Cols4<Vec3A>

The resulting type after dereferencing.
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fn deref(&self) -> &<Affine3A as Deref>::Target

Dereferences the value.
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impl DerefMut for Affine3A

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

Mutably dereferences the value.
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impl<'de> Deserialize<'de> for Affine3A

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

Deserialize this value from the given Serde deserializer. Read more
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impl Display for Affine3A

Available on non-target_arch="spirv" only.
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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 From<&Affine3> for Affine3A

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fn from(affine3: &Affine3) -> Affine3A

Converts to this type from the input type.
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impl From<&Affine3A> for Affine3

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fn from(affine: &Affine3A) -> Affine3

Converts to this type from the input type.
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impl From<Affine3A> for GlobalTransform

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fn from(affine: Affine3A) -> GlobalTransform

Converts to this type from the input type.
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impl From<Affine3A> for Mat4

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fn from(m: Affine3A) -> Mat4

Converts to this type from the input type.
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impl FromReflect for Affine3A
where Affine3A: Any + Send + Sync, Mat3A: FromReflect + TypePath + RegisterForReflection, Vec3A: FromReflect + TypePath + RegisterForReflection,

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fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<Affine3A>

Constructs a concrete instance of Self from a reflected value.
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fn take_from_reflect( reflect: Box<dyn Reflect>, ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails. Read more
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impl GetTypeRegistration for Affine3A
where Affine3A: Any + Send + Sync, Mat3A: FromReflect + TypePath + RegisterForReflection, Vec3A: FromReflect + TypePath + RegisterForReflection,

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fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.
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fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type. Read more
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impl Mul<Affine3A> for Mat4

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type Output = Mat4

The resulting type after applying the * operator.
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fn mul(self, rhs: Affine3A) -> <Mat4 as Mul<Affine3A>>::Output

Performs the * operation. Read more
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impl Mul<Mat4> for Affine3A

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type Output = Mat4

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat4) -> <Affine3A as Mul<Mat4>>::Output

Performs the * operation. Read more
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impl Mul for Affine3A

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type Output = Affine3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Affine3A) -> <Affine3A as Mul>::Output

Performs the * operation. Read more
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impl MulAssign for Affine3A

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fn mul_assign(&mut self, rhs: Affine3A)

Performs the *= operation. Read more
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impl PartialEq for Affine3A

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

This method tests for self and other values to be equal, and is used by ==.
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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<'a> Product<&'a Affine3A> for Affine3A

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fn product<I>(iter: I) -> Affine3A
where I: Iterator<Item = &'a Affine3A>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Reflect for Affine3A
where Affine3A: Any + Send + Sync, Mat3A: FromReflect + TypePath + RegisterForReflection, Vec3A: FromReflect + TypePath + RegisterForReflection,

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fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value. Read more
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fn into_any(self: Box<Affine3A>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.
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fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a &dyn Any.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a &mut dyn Any.
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fn into_reflect(self: Box<Affine3A>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.
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fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a reflected value.
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fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable reflected value.
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fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object. Read more
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fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
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fn try_apply( &mut self, value: &(dyn Reflect + 'static), ) -> Result<(), ApplyError>

Tries to apply a reflected value to this value. Read more
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fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
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fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
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fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
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fn reflect_owned(self: Box<Affine3A>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
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fn reflect_partial_eq(&self, value: &(dyn Reflect + 'static)) -> Option<bool>

Returns a “partial equality” comparison result. Read more
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fn debug(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Debug formatter for the value. Read more
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fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. Read more
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fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
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fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. Read more
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fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
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impl Serialize for Affine3A

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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 Struct for Affine3A
where Affine3A: Any + Send + Sync, Mat3A: FromReflect + TypePath + RegisterForReflection, Vec3A: FromReflect + TypePath + RegisterForReflection,

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fn field(&self, name: &str) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field named name as a &dyn Reflect.
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fn field_mut(&mut self, name: &str) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field named name as a &mut dyn Reflect.
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fn field_at(&self, index: usize) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field with index index as a &dyn Reflect.
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fn field_at_mut(&mut self, index: usize) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field with index index as a &mut dyn Reflect.
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fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.
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fn field_len(&self) -> usize

Returns the number of fields in the struct.
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fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.
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fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.
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impl TransformPoint for Affine3A

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fn transform_point(&self, point: impl Into<Vec3>) -> Vec3

Transform a point.
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impl TypePath for Affine3A
where Affine3A: Any + Send + Sync,

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fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
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fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
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fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous. Read more
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fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous. Read more
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fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous. Read more
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impl Typed for Affine3A
where Affine3A: Any + Send + Sync, Mat3A: FromReflect + TypePath + RegisterForReflection, Vec3A: FromReflect + TypePath + RegisterForReflection,

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fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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impl Zeroable for Affine3A

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fn zeroed() -> Self

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impl AnyBitPattern for Affine3A

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impl Copy for Affine3A

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Gets the TypeId of self. Read more
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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a WithDispatch wrapper. Read more
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impl<T> ConditionalSend for T
where T: Send,

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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<S, T> Duplex<S> for T
where T: FromSample<S> + ToSample<S>,

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impl<T> Settings for T
where T: 'static + Send + Sync,

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

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impl<T> WasmNotSendSync for T
where T: WasmNotSend + WasmNotSync,

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