#[repr(transparent)]pub struct Mat2(/* private fields */);
Expand description
A 2x2 column major matrix.
SIMD vector types are used for storage on supported platforms.
This type is 16 byte aligned.
Implementations§
source§impl Mat2
impl Mat2
sourcepub const IDENTITY: Self = _
pub const IDENTITY: Self = _
A 2x2 identity matrix, where all diagonal elements are 1
, and all off-diagonal elements are 0
.
sourcepub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Self
pub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Self
Creates a 2x2 matrix from two column vectors.
sourcepub const fn from_cols_array(m: &[f32; 4]) -> Self
pub const fn from_cols_array(m: &[f32; 4]) -> Self
Creates a 2x2 matrix from a [f32; 4]
array stored in column major order.
If your data is stored in row major you will need to transpose
the returned
matrix.
sourcepub const fn to_cols_array(&self) -> [f32; 4]
pub const fn to_cols_array(&self) -> [f32; 4]
Creates a [f32; 4]
array storing data in column major order.
If you require data in row major order transpose
the matrix first.
sourcepub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Self
pub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Self
Creates a 2x2 matrix from a [[f32; 2]; 2]
2D array stored in column major order.
If your data is in row major order you will need to transpose
the returned
matrix.
sourcepub const fn to_cols_array_2d(&self) -> [[f32; 2]; 2]
pub const fn to_cols_array_2d(&self) -> [[f32; 2]; 2]
Creates a [[f32; 2]; 2]
2D array storing data in column major order.
If you require data in row major order transpose
the matrix first.
sourcepub const fn from_diagonal(diagonal: Vec2) -> Self
pub const fn from_diagonal(diagonal: Vec2) -> Self
Creates a 2x2 matrix with its diagonal set to diagonal
and all other entries set to 0.
sourcepub fn from_scale_angle(scale: Vec2, angle: f32) -> Self
pub fn from_scale_angle(scale: Vec2, angle: f32) -> Self
Creates a 2x2 matrix containing the combining non-uniform scale
and rotation of
angle
(in radians).
sourcepub fn from_angle(angle: f32) -> Self
pub fn from_angle(angle: f32) -> Self
Creates a 2x2 matrix containing a rotation of angle
(in radians).
sourcepub fn from_mat3(m: Mat3) -> Self
pub fn from_mat3(m: Mat3) -> Self
Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
sourcepub fn from_mat3_minor(m: Mat3, i: usize, j: usize) -> Self
pub fn from_mat3_minor(m: Mat3, i: usize, j: usize) -> Self
Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the i
th column
and j
th row.
Panics
Panics if i
or j
is greater than 2.
sourcepub fn from_mat3a(m: Mat3A) -> Self
pub fn from_mat3a(m: Mat3A) -> Self
Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.
sourcepub fn from_mat3a_minor(m: Mat3A, i: usize, j: usize) -> Self
pub fn from_mat3a_minor(m: Mat3A, i: usize, j: usize) -> Self
Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the i
th column
and j
th row.
Panics
Panics if i
or j
is greater than 2.
sourcepub const fn from_cols_slice(slice: &[f32]) -> Self
pub const fn from_cols_slice(slice: &[f32]) -> Self
Creates a 2x2 matrix from the first 4 values in slice
.
Panics
Panics if slice
is less than 4 elements long.
sourcepub fn write_cols_to_slice(self, slice: &mut [f32])
pub fn write_cols_to_slice(self, slice: &mut [f32])
Writes the columns of self
to the first 4 elements in slice
.
Panics
Panics if slice
is less than 4 elements long.
sourcepub fn col_mut(&mut self, index: usize) -> &mut Vec2
pub fn col_mut(&mut self, index: usize) -> &mut Vec2
Returns a mutable reference to the matrix column for the given index
.
Panics
Panics if index
is greater than 1.
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 determinant(&self) -> f32
pub fn determinant(&self) -> f32
Returns the determinant of self
.
sourcepub fn inverse(&self) -> Self
pub fn inverse(&self) -> 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.
sourcepub fn mul_scalar(&self, rhs: f32) -> Self
pub fn mul_scalar(&self, rhs: f32) -> Self
Multiplies a 2x2 matrix by a scalar.
sourcepub fn div_scalar(&self, rhs: f32) -> Self
pub fn div_scalar(&self, rhs: f32) -> Self
Divides a 2x2 matrix by a scalar.
sourcepub fn abs_diff_eq(&self, rhs: Self, max_abs_diff: f32) -> bool
pub fn abs_diff_eq(&self, rhs: Self, 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 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.
pub fn as_dmat2(&self) -> DMat2
Trait Implementations§
source§impl AddAssign<Mat2> for Mat2
impl AddAssign<Mat2> for Mat2
source§fn add_assign(&mut self, rhs: Self)
fn add_assign(&mut self, rhs: Self)
+=
operation. Read moresource§impl DivAssign<f32> for Mat2
impl DivAssign<f32> for Mat2
source§fn div_assign(&mut self, rhs: f32)
fn div_assign(&mut self, rhs: f32)
/=
operation. Read moresource§impl MulAssign<Mat2> for Mat2
impl MulAssign<Mat2> for Mat2
source§fn mul_assign(&mut self, rhs: Self)
fn mul_assign(&mut self, rhs: Self)
*=
operation. Read moresource§impl MulAssign<f32> for Mat2
impl MulAssign<f32> for Mat2
source§fn mul_assign(&mut self, rhs: f32)
fn mul_assign(&mut self, rhs: f32)
*=
operation. Read moresource§impl SubAssign<Mat2> for Mat2
impl SubAssign<Mat2> for Mat2
source§fn sub_assign(&mut self, rhs: Self)
fn sub_assign(&mut self, rhs: Self)
-=
operation. Read more