Struct valence_math::DAffine3
source · #[repr(C)]pub struct DAffine3 {
pub matrix3: DMat3,
pub translation: DVec3,
}
Expand description
A 3D affine transform, which can represent translation, rotation, scaling and shear.
Fields§
§matrix3: DMat3
§translation: DVec3
Implementations§
source§impl DAffine3
impl DAffine3
sourcepub const ZERO: DAffine3 = _
pub const ZERO: DAffine3 = _
The degenerate zero transform.
This transforms any finite vector and point to zero. The zero transform is non-invertible.
sourcepub const IDENTITY: DAffine3 = _
pub const IDENTITY: DAffine3 = _
The identity transform.
Multiplying a vector with this returns the same vector.
sourcepub const fn from_cols(
x_axis: DVec3,
y_axis: DVec3,
z_axis: DVec3,
w_axis: DVec3,
) -> DAffine3
pub const fn from_cols( x_axis: DVec3, y_axis: DVec3, z_axis: DVec3, w_axis: DVec3, ) -> DAffine3
Creates an affine transform from three column vectors.
sourcepub fn from_cols_array(m: &[f64; 12]) -> DAffine3
pub fn from_cols_array(m: &[f64; 12]) -> DAffine3
Creates an affine transform from a [f64; 12]
array stored in column major order.
sourcepub fn to_cols_array(&self) -> [f64; 12]
pub fn to_cols_array(&self) -> [f64; 12]
Creates a [f64; 12]
array storing data in column major order.
sourcepub fn from_cols_array_2d(m: &[[f64; 3]; 4]) -> DAffine3
pub fn from_cols_array_2d(m: &[[f64; 3]; 4]) -> DAffine3
Creates an affine transform from a [[f64; 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.
sourcepub fn to_cols_array_2d(&self) -> [[f64; 3]; 4]
pub fn to_cols_array_2d(&self) -> [[f64; 3]; 4]
Creates a [[f64; 3]; 4]
3D array storing data in
column major order.
If you require data in row major order transpose
the matrix first.
sourcepub fn from_cols_slice(slice: &[f64]) -> DAffine3
pub fn from_cols_slice(slice: &[f64]) -> DAffine3
Creates an affine transform from the first 12 values in slice
.
§Panics
Panics if slice
is less than 12 elements long.
sourcepub fn write_cols_to_slice(self, slice: &mut [f64])
pub fn write_cols_to_slice(self, slice: &mut [f64])
Writes the columns of self
to the first 12 elements in slice
.
§Panics
Panics if slice
is less than 12 elements long.
sourcepub fn from_scale(scale: DVec3) -> DAffine3
pub fn from_scale(scale: DVec3) -> DAffine3
Creates an affine transform that changes scale. Note that if any scale is zero the transform will be non-invertible.
sourcepub fn from_quat(rotation: DQuat) -> DAffine3
pub fn from_quat(rotation: DQuat) -> DAffine3
Creates an affine transform from the given rotation
quaternion.
sourcepub fn from_axis_angle(axis: DVec3, angle: f64) -> DAffine3
pub fn from_axis_angle(axis: DVec3, angle: f64) -> DAffine3
Creates an affine transform containing a 3D rotation around a normalized
rotation axis
of angle
(in radians).
sourcepub fn from_rotation_x(angle: f64) -> DAffine3
pub fn from_rotation_x(angle: f64) -> DAffine3
Creates an affine transform containing a 3D rotation around the x axis of
angle
(in radians).
sourcepub fn from_rotation_y(angle: f64) -> DAffine3
pub fn from_rotation_y(angle: f64) -> DAffine3
Creates an affine transform containing a 3D rotation around the y axis of
angle
(in radians).
sourcepub fn from_rotation_z(angle: f64) -> DAffine3
pub fn from_rotation_z(angle: f64) -> DAffine3
Creates an affine transform containing a 3D rotation around the z axis of
angle
(in radians).
sourcepub fn from_translation(translation: DVec3) -> DAffine3
pub fn from_translation(translation: DVec3) -> DAffine3
Creates an affine transformation from the given 3D translation
.
sourcepub fn from_mat3(mat3: DMat3) -> DAffine3
pub fn from_mat3(mat3: DMat3) -> DAffine3
Creates an affine transform from a 3x3 matrix (expressing scale, shear and rotation)
sourcepub fn from_mat3_translation(mat3: DMat3, translation: DVec3) -> DAffine3
pub fn from_mat3_translation(mat3: DMat3, translation: DVec3) -> DAffine3
Creates an affine transform from a 3x3 matrix (expressing scale, shear and rotation) and a translation vector.
Equivalent to DAffine3::from_translation(translation) * DAffine3::from_mat3(mat3)
sourcepub fn from_scale_rotation_translation(
scale: DVec3,
rotation: DQuat,
translation: DVec3,
) -> DAffine3
pub fn from_scale_rotation_translation( scale: DVec3, rotation: DQuat, translation: DVec3, ) -> DAffine3
Creates an affine transform from the given 3D scale
, rotation
and
translation
.
Equivalent to DAffine3::from_translation(translation) * DAffine3::from_quat(rotation) * DAffine3::from_scale(scale)
sourcepub fn from_rotation_translation(
rotation: DQuat,
translation: DVec3,
) -> DAffine3
pub fn from_rotation_translation( rotation: DQuat, translation: DVec3, ) -> DAffine3
Creates an affine transform from the given 3D rotation
and translation
.
Equivalent to DAffine3::from_translation(translation) * DAffine3::from_quat(rotation)
sourcepub fn from_mat4(m: DMat4) -> DAffine3
pub fn from_mat4(m: DMat4) -> DAffine3
The given DMat4
must be an affine transform,
i.e. contain no perspective transform.
sourcepub fn to_scale_rotation_translation(&self) -> (DVec3, DQuat, DVec3)
pub fn to_scale_rotation_translation(&self) -> (DVec3, DQuat, DVec3)
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.
sourcepub fn look_to_lh(eye: DVec3, dir: DVec3, up: DVec3) -> DAffine3
pub fn look_to_lh(eye: DVec3, dir: DVec3, up: DVec3) -> DAffine3
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
.
sourcepub fn look_to_rh(eye: DVec3, dir: DVec3, up: DVec3) -> DAffine3
pub fn look_to_rh(eye: DVec3, dir: DVec3, up: DVec3) -> DAffine3
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
.
sourcepub fn look_at_lh(eye: DVec3, center: DVec3, up: DVec3) -> DAffine3
pub fn look_at_lh(eye: DVec3, center: DVec3, up: DVec3) -> DAffine3
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.
sourcepub fn look_at_rh(eye: DVec3, center: DVec3, up: DVec3) -> DAffine3
pub fn look_at_rh(eye: DVec3, center: DVec3, up: DVec3) -> DAffine3
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.
sourcepub fn transform_point3(&self, rhs: DVec3) -> DVec3
pub fn transform_point3(&self, rhs: DVec3) -> DVec3
Transforms the given 3D points, applying shear, scale, rotation and translation.
sourcepub fn transform_vector3(&self, rhs: DVec3) -> DVec3
pub fn transform_vector3(&self, rhs: DVec3) -> DVec3
Transforms the given 3D vector, applying shear, scale and rotation (but NOT translation).
To also apply translation, use Self::transform_point3()
instead.
sourcepub fn is_finite(&self) -> bool
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
.
sourcepub fn abs_diff_eq(&self, rhs: DAffine3, max_abs_diff: f64) -> bool
pub fn abs_diff_eq(&self, rhs: DAffine3, max_abs_diff: f64) -> 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.
Trait Implementations§
source§impl MulAssign for DAffine3
impl MulAssign for DAffine3
source§fn mul_assign(&mut self, rhs: DAffine3)
fn mul_assign(&mut self, rhs: DAffine3)
*=
operation. Read moreimpl Copy for DAffine3
Auto Trait Implementations§
impl Freeze for DAffine3
impl RefUnwindSafe for DAffine3
impl Send for DAffine3
impl Sync for DAffine3
impl Unpin for DAffine3
impl UnwindSafe for DAffine3
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
source§unsafe fn clone_to_uninit(&self, dst: *mut T)
unsafe fn clone_to_uninit(&self, dst: *mut T)
clone_to_uninit
)