Struct valence_math::f64::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

source

pub const ZERO: DAffine3 = _

The degenerate zero transform.

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

source

pub const IDENTITY: DAffine3 = _

The identity transform.

Multiplying a vector with this returns the same vector.

source

pub const NAN: DAffine3 = _

All NAN:s.

source

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.

source

pub fn from_cols_array(m: &[f64; 12]) -> DAffine3

Creates an affine transform from a [f64; 12] array stored in column major order.

source

pub fn to_cols_array(&self) -> [f64; 12]

Creates a [f64; 12] array storing data in column major order.

source

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.

source

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.

source

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.

source

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.

source

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.

source

pub fn from_quat(rotation: DQuat) -> DAffine3

Creates an affine transform from the given rotation quaternion.

source

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).

source

pub fn from_rotation_x(angle: f64) -> DAffine3

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

source

pub fn from_rotation_y(angle: f64) -> DAffine3

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

source

pub fn from_rotation_z(angle: f64) -> DAffine3

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

source

pub fn from_translation(translation: DVec3) -> DAffine3

Creates an affine transformation from the given 3D translation.

source

pub fn from_mat3(mat3: DMat3) -> DAffine3

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

source

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)

source

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)

source

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)

source

pub fn from_mat4(m: DMat4) -> DAffine3

The given DMat4 must be an affine transform, i.e. contain no perspective transform.

source

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.

source

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.

source

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.

source

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.

source

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.

source

pub fn transform_point3(&self, rhs: DVec3) -> DVec3

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

source

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.

source

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.

source

pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

source

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.

source

pub fn inverse(&self) -> DAffine3

Return the inverse of this transform.

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

Trait Implementations§

source§

impl Clone for DAffine3

source§

fn clone(&self) -> DAffine3

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
source§

impl Debug for DAffine3

source§

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

Formats the value using the given formatter. Read more
source§

impl Default for DAffine3

source§

fn default() -> DAffine3

Returns the “default value” for a type. Read more
source§

impl Deref for DAffine3

source§

type Target = Cols4<DVec3>

The resulting type after dereferencing.
source§

fn deref(&self) -> &<DAffine3 as Deref>::Target

Dereferences the value.
source§

impl DerefMut for DAffine3

source§

fn deref_mut(&mut self) -> &mut <DAffine3 as Deref>::Target

Mutably dereferences the value.
source§

impl Display for DAffine3

source§

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

Formats the value using the given formatter. Read more
source§

impl From<DAffine3> for DMat4

source§

fn from(m: DAffine3) -> DMat4

Converts to this type from the input type.
source§

impl Mul<DAffine3> for DMat4

source§

type Output = DMat4

The resulting type after applying the * operator.
source§

fn mul(self, rhs: DAffine3) -> <DMat4 as Mul<DAffine3>>::Output

Performs the * operation. Read more
source§

impl Mul<DMat4> for DAffine3

source§

type Output = DMat4

The resulting type after applying the * operator.
source§

fn mul(self, rhs: DMat4) -> <DAffine3 as Mul<DMat4>>::Output

Performs the * operation. Read more
source§

impl Mul for DAffine3

source§

type Output = DAffine3

The resulting type after applying the * operator.
source§

fn mul(self, rhs: DAffine3) -> <DAffine3 as Mul>::Output

Performs the * operation. Read more
source§

impl MulAssign for DAffine3

source§

fn mul_assign(&mut self, rhs: DAffine3)

Performs the *= operation. Read more
source§

impl PartialEq for DAffine3

source§

fn eq(&self, rhs: &DAffine3) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

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

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

impl<'a> Product<&'a DAffine3> for DAffine3

source§

fn product<I>(iter: I) -> DAffine3
where I: Iterator<Item = &'a DAffine3>,

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

impl Copy for DAffine3

Auto Trait Implementations§

Blanket Implementations§

source§

impl<T> Any for T
where T: 'static + ?Sized,

source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
source§

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

source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
source§

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

source§

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

Mutably borrows from an owned value. Read more
source§

impl<T> CloneToUninit for T
where T: Clone,

source§

unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
source§

impl<T> From<T> for T

source§

fn from(t: T) -> T

Returns the argument unchanged.

source§

impl<T, U> Into<U> for T
where U: From<T>,

source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

source§

impl<T> ToOwned for T
where T: Clone,

source§

type Owned = T

The resulting type after obtaining ownership.
source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
source§

impl<T> ToString for T
where T: Display + ?Sized,

source§

default fn to_string(&self) -> String

Converts the given value to a String. Read more
source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

source§

type Error = Infallible

The type returned in the event of a conversion error.
source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

source§

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

The type returned in the event of a conversion error.
source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.