Struct rfw_math::Mat3A [−][src]
#[repr(C)]pub struct Mat3A(_);
Expand description
A 3x3 column major matrix.
This 3x3 matrix type features convenience methods for creating and using linear and
affine transformations. If you are primarily dealing with 2D affine transformations the
Affine2 type is much faster and more space efficient than using a
3x3 matrix.
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.
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 3x3 matrix from a 4x4 matrix, discarding the 3rd row and column.
Creates a 3D rotation matrix from the given quaternion.
Panics
Will panic if rotation is not normalized when glam_assert is enabled.
Creates a 3D rotation matrix from a normalized rotation axis and angle (in
radians).
Panics
Will panic if axis is not normalized when glam_assert is enabled.
Creates a 3D rotation matrix from the given euler rotation sequence and the angles (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_point2() and Self::transform_vector2().
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().
Panics
Will panic if all elements of scale are zero when glam_assert is enabled.
Creates an affine transformation matrix from the given 2x2 matrix.
The resulting matrix can be used to transform 2D points and vectors. See
Self::transform_point2() and Self::transform_vector2().
Creates a 3x3 matrix from the first 9 values in slice.
Panics
Panics if slice is less than 9 elements long.
Writes the columns of self to the first 9 elements in slice.
Panics
Panics if slice is less than 9 elements long.
Returns a mutable reference to the matrix column for the given index.
Panics
Panics if index is greater than 2.
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.
Panics
Will panic if the determinant of self is zero when glam_assert is enabled.
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
Performs the += operation. Read more
Performs the *= operation. Read more
Performs the *= operation. Read more
Performs the -= operation. Read more
Auto Trait Implementations
impl RefUnwindSafe for Mat3Aimpl UnwindSafe for Mat3ABlanket Implementations
Mutably borrows from an owned value. Read more