Struct macroquad::math::DMat3 [−][src]
#[repr(C)]pub struct DMat3(_);
Expand description
A 3x3 column major matrix.
This 3x3 matrix type features convenience methods for creating and using linear and affine transformations.
Linear transformations including 3D rotation and scale can be created using methods
such as Self::from_diagonal()
, Self::from_quat()
, Self::from_axis_angle()
,
Self::from_rotation_x()
, Self::from_rotation_y()
, or
Self::from_rotation_z()
.
The resulting matrices can be use to transform 3D vectors using regular vector multiplication.
Affine transformations including 2D translation, rotation and scale can be created
using methods such as Self::from_translation()
, Self::from_angle()
,
Self::from_scale()
and Self::from_scale_angle_translation()
.
The Self::transform_point2()
and Self::transform_vector2()
convenience methods
are provided for performing affine transforms on 2D vectors and points. These multiply
2D inputs as 3D vectors with an implicit z
value of 1
for points and 0
for
vectors respectively. These methods assume that Self
contains a valid affine
transform.
Implementations
A 3x3 identity matrix, where all diagonal elements are 1
, and all off-diagonal
elements are 0
.
👎 Deprecated: use Mat3::ZERO instead
use Mat3::ZERO instead
Creates a 3x3 matrix with all elements set to 0.0
.
👎 Deprecated: use Mat3::IDENTITY instead
use Mat3::IDENTITY instead
Creates a 3x3 identity matrix.
Creates a 3x3 matrix from three column vectors.
Creates a 3x3 matrix from a [S; 9]
array stored in column major order.
If your data is stored in row major you will need to transpose
the returned
matrix.
Creates a [S; 9]
array storing data in column major order.
If you require data in row major order transpose
the matrix first.
Creates a 3x3 matrix from a [[S; 3]; 3]
2D array stored in column major order.
If your data is in row major order you will need to transpose
the returned
matrix.
Creates a [[S; 3]; 3]
2D array storing data in column major order.
If you require data in row major order transpose
the matrix first.
Creates a 3x3 matrix with its diagonal set to diagonal
and all other entries set to 0.
The resulting matrix is a 3D scale transfom.
Creates a 3D rotation matrix from the given quaternion.
Creates a 3D rotation matrix from a normalized rotation axis
and angle
(in
radians).
Creates a 3D rotation matrix from the given yaw (around y), pitch (around x) and roll (around z) in radians.
Creates a 3D rotation matrix from angle
(in radians) around the x axis.
Creates a 3D rotation matrix from angle
(in radians) around the y axis.
Creates a 3D rotation matrix from angle
(in radians) around the z axis.
Creates an affine transformation matrix from the given 2D translation
.
The resulting matrix can be used to transform 2D points and vectors. See
[Self::transform_point3()
] and [Self::transform_vector3()
].
Creates an affine transformation matrix from the given 2D rotation angle
(in
radians).
The resulting matrix can be used to transform 2D points and vectors. See
Self::transform_point2()
and Self::transform_vector2()
.
Creates an affine transformation matrix from the given 2D scale
, rotation angle
(in
radians) and translation
.
The resulting matrix can be used to transform 2D points and vectors. See
Self::transform_point2()
and Self::transform_vector2()
.
Creates an affine transformation matrix from the given non-uniform 2D scale
.
The resulting matrix can be used to transform 2D points and vectors. See
Self::transform_point2()
and Self::transform_vector2()
.
Returns true
if, and only if, all elements are finite.
If any element is either NaN
, positive or negative infinity, this will return false
.
Returns the determinant of self
.
Returns the inverse of self
.
If the matrix is not invertible the returned matrix will be invalid.
Multiplies a 3x3 matrix by a scalar.
Transforms the given 2D vector as a point.
This is the equivalent of multiplying other
as a 3D vector where z
is 1
.
This method assumes that self
contains a valid affine transform.
Rotates the given 2D vector.
This is the equivalent of multiplying other
as a 3D vector where z
is 0
.
This method assumes that self
contains a valid affine transform.
Returns true if the absolute difference of all elements between self
and other
is less than or equal to max_abs_diff
.
This can be used to compare if two 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
This method returns an ordering between self
and other
values if one exists. Read more
This method tests less than (for self
and other
) and is used by the <
operator. Read more
This method tests less than or equal to (for self
and other
) and is used by the <=
operator. Read more
This method tests greater than (for self
and other
) and is used by the >
operator. Read more
Auto Trait Implementations
impl RefUnwindSafe for DMat3
impl UnwindSafe for DMat3
Blanket Implementations
Mutably borrows from an owned value. Read more