Struct DMat2 

#[repr(C)]
pub struct DMat2 {
    pub x_axis: DVec2,
    pub y_axis: DVec2,
}

A 2x2 column major matrix.

Fields

x_axis: DVec2

y_axis: DVec2

Implementations

impl DMat2

pub const ZERO: Self

A 2x2 matrix with all elements set to 0.0.

pub const IDENTITY: Self

A 2x2 identity matrix, where all diagonal elements are 1, and all off-diagonal elements are 0.

pub const NAN: Self

All NAN:s.

pub const fn from_cols(x_axis: DVec2, y_axis: DVec2) -> Self

Creates a 2x2 matrix from two column vectors.

See also Self::from_rows when the data is in row major order.

pub const fn from_rows(row0: DVec2, row1: DVec2) -> Self

Creates a 2x2 matrix from two row vectors.

Matrices are stored in column major order, so the given rows are permuted into the matrix layout. Use Self::from_cols instead when the data is already in column major order.

pub const fn from_cols_array(m: &[f64; 4]) -> Self

Creates a 2x2 matrix from a [f64; 4] array stored in column major order.

If the data is in row major order use Self::from_rows_array instead.

pub const fn to_cols_array(&self) -> [f64; 4]

Creates a [f64; 4] array storing data in column major order.

If you require the data in row major order use Self::to_rows_array instead.

pub const fn from_cols_array_2d(m: &[[f64; 2]; 2]) -> Self

Creates a 2x2 matrix from a [[f64; 2]; 2] 2D array stored in column major order.

If the data is in row major order transpose the returned matrix.

pub const fn to_cols_array_2d(&self) -> [[f64; 2]; 2]

Creates a [[f64; 2]; 2] 2D array storing data in column major order.

If you require row major order transpose the matrix first.

pub const fn from_rows_array(m: &[f64; 4]) -> Self

Creates a 2x2 matrix from a [f64; 4] array stored in row major order.

Matrices are stored in column major order, so the array is permuted into the matrix layout. Use Self::from_cols_array instead when the data is already in column major order.

pub const fn to_rows_array(&self) -> [f64; 4]

Creates a [f64; 4] array storing data in row major order.

Matrices are stored in column major order, so the array is permuted out of the column major storage. Use Self::to_cols_array instead when you want data in column major order.

pub const fn from_diagonal(diagonal: DVec2) -> Self

Creates a 2x2 matrix with its diagonal set to diagonal and all other entries set to 0.

pub fn from_scale_angle(scale: DVec2, angle: f64) -> Self

Creates a 2x2 matrix containing the combining non-uniform scale and rotation of angle (in radians).

pub fn from_angle(angle: f64) -> Self

Creates a 2x2 matrix containing a rotation of angle (in radians).

pub fn from_mat3(m: DMat3) -> Self

Creates a 2x2 matrix from a 3x3 matrix, discarding the 2nd row and column.

pub fn from_mat3_minor(m: DMat3, i: usize, j: usize) -> Self

Creates a 2x2 matrix from the minor of the given 3x3 matrix, discarding the ith column and jth row.

Panics

Panics if i or j is greater than 2.

pub const fn from_cols_slice(slice: &[f64]) -> Self

Creates a 2x2 matrix from the first 4 values in slice.

See also Self::from_rows_slice when the slice is in row major order.

Panics

Panics if slice is less than 4 elements long.

pub fn write_cols_to_slice(&self, slice: &mut [f64])

Writes the columns of self to the first 4 elements in slice.

Panics

Panics if slice is less than 4 elements long.

pub const fn from_rows_slice(slice: &[f64]) -> Self

Creates a 2x2 matrix from the first 4 values in slice, stored in row major order.

Matrices are stored in column major order, so the slice is permuted into the matrix layout. Use Self::from_cols_slice instead when the slice is already in column major order.

Panics

Panics if slice is less than 4 elements long.

pub fn col(&self, index: usize) -> DVec2

Returns the matrix column for the given index.

Panics

Panics if index is greater than 1.

pub fn col_mut(&mut self, index: usize) -> &mut DVec2

Returns a mutable reference to the matrix column for the given index.

Panics

Panics if index is greater than 1.

pub fn row(&self, index: usize) -> DVec2

Returns the matrix row for the given index.

See also Self::set_row when you need to change the row.

Panics

Panics if index is greater than 1.

pub fn set_row(&mut self, index: usize, row: DVec2)

Sets the matrix row for the given index.

Matrices are stored in column major order, so the row is spread across all 2 columns and writing it touches every column. Use Self::col_mut instead when you can work with columns. See also Self::row.

Panics

Panics if index is greater than 1.

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.

pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

pub fn transpose(&self) -> Self

Returns the transpose of self.

pub fn diagonal(&self) -> DVec2

Returns the diagonal of self.

pub fn determinant(&self) -> f64

Returns the determinant of 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.

pub fn try_inverse(&self) -> Option<Self>

Returns the inverse of self or None if the matrix is not invertible.

pub fn inverse_or_zero(&self) -> Self

Returns the inverse of self or DMat2::ZERO if the matrix is not invertible.

pub fn mul_vec2(&self, rhs: DVec2) -> DVec2

Transforms a 2D vector.

pub fn mul_transpose_vec2(&self, rhs: DVec2) -> DVec2

Transforms a 2D vector by the transpose of self.

pub fn mul_mat2(&self, rhs: &Self) -> Self

Multiplies two 2x2 matrices.

pub fn add_mat2(&self, rhs: &Self) -> Self

Adds two 2x2 matrices.

pub fn sub_mat2(&self, rhs: &Self) -> Self

Subtracts two 2x2 matrices.

pub fn mul_scalar(&self, rhs: f64) -> Self

Multiplies a 2x2 matrix by a scalar.

pub fn mul_diagonal_scale(&self, scale: DVec2) -> Self

Multiply self by a scaling vector scale. This is faster than creating a whole diagonal scaling matrix and then multiplying that. This operation is commutative.

pub fn div_scalar(&self, rhs: f64) -> Self

Divides a 2x2 matrix by a scalar.

pub fn recip(&self) -> Self

Returns a matrix containing the reciprocal 1.0/n of each element of self.

pub fn abs_diff_eq(&self, rhs: Self, 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 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 abs(&self) -> Self

Takes the absolute value of each element in self

pub fn as_mat2(&self) -> Mat2

Trait Implementations

impl Add for DMat2

type Output = DMat2

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self

Performs the + operation.

impl Add<&DMat2> for DMat2

type Output = DMat2

The resulting type after applying the + operator.

fn add(self, rhs: &Self) -> Self

Performs the + operation.

impl Add<&DMat2> for &DMat2

type Output = DMat2

The resulting type after applying the + operator.

fn add(self, rhs: &DMat2) -> DMat2

Performs the + operation.

impl Add<DMat2> for &DMat2

type Output = DMat2

The resulting type after applying the + operator.

fn add(self, rhs: DMat2) -> DMat2

Performs the + operation.

impl AddAssign for DMat2

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AddAssign<&DMat2> for DMat2

fn add_assign(&mut self, rhs: &Self)

Performs the += operation.

impl AsMut<[f64; 4]> for DMat2

fn as_mut(&mut self) -> &mut [f64; 4]

Converts this type into a mutable reference of the (usually inferred) input type.

impl AsRef<[f64; 4]> for DMat2

fn as_ref(&self) -> &[f64; 4]

Converts this type into a shared reference of the (usually inferred) input type.

impl Clone for DMat2

fn clone(&self) -> DMat2

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for DMat2

impl Debug for DMat2

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

Formats the value using the given formatter.

impl Default for DMat2

fn default() -> Self

Returns the “default value” for a type.

impl Display for DMat2

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

Formats the value using the given formatter.

impl Div<&DMat2> for f64

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: &DMat2) -> DMat2

Performs the / operation.

impl Div<&DMat2> for &f64

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: &DMat2) -> DMat2

Performs the / operation.

impl Div<&f64> for DMat2

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: &f64) -> Self

Performs the / operation.

impl Div<&f64> for &DMat2

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: &f64) -> DMat2

Performs the / operation.

impl Div<DMat2> for f64

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: DMat2) -> Self::Output

Performs the / operation.

impl Div<DMat2> for &f64

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: DMat2) -> DMat2

Performs the / operation.

impl Div<f64> for DMat2

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> Self

Performs the / operation.

impl Div<f64> for &DMat2

type Output = DMat2

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> DMat2

Performs the / operation.

impl DivAssign<&f64> for DMat2

fn div_assign(&mut self, rhs: &f64)

Performs the /= operation.

impl DivAssign<f64> for DMat2

fn div_assign(&mut self, rhs: f64)

Performs the /= operation.

impl Mul for DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self

Performs the * operation.

impl Mul<&DMat2> for DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: &Self) -> Self

Performs the * operation.

impl Mul<&DMat2> for &DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: &DMat2) -> DMat2

Performs the * operation.

impl Mul<&DMat2> for f64

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: &DMat2) -> DMat2

Performs the * operation.

impl Mul<&DMat2> for &f64

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: &DMat2) -> DMat2

Performs the * operation.

impl Mul<&DVec2> for DMat2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: &DVec2) -> DVec2

Performs the * operation.

impl Mul<&DVec2> for &DMat2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: &DVec2) -> DVec2

Performs the * operation.

impl Mul<&f64> for DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: &f64) -> Self

Performs the * operation.

impl Mul<&f64> for &DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: &f64) -> DMat2

Performs the * operation.

impl Mul<DMat2> for &DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: DMat2) -> DMat2

Performs the * operation.

impl Mul<DMat2> for f64

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: DMat2) -> Self::Output

Performs the * operation.

impl Mul<DMat2> for &f64

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: DMat2) -> DMat2

Performs the * operation.

impl Mul<DVec2> for DMat2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: DVec2) -> Self::Output

Performs the * operation.

impl Mul<DVec2> for &DMat2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: DVec2) -> DVec2

Performs the * operation.

impl Mul<f64> for DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> Self

Performs the * operation.

impl Mul<f64> for &DMat2

type Output = DMat2

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> DMat2

Performs the * operation.

impl MulAssign for DMat2

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl MulAssign<&DMat2> for DMat2

fn mul_assign(&mut self, rhs: &Self)

Performs the *= operation.

impl MulAssign<&f64> for DMat2

fn mul_assign(&mut self, rhs: &f64)

Performs the *= operation.

impl MulAssign<f64> for DMat2

fn mul_assign(&mut self, rhs: f64)

Performs the *= operation.

impl Neg for DMat2

type Output = DMat2

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for &DMat2

type Output = DMat2

The resulting type after applying the - operator.

fn neg(self) -> DMat2

Performs the unary - operation.

impl PartialEq for DMat2

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

Tests for self and other values to be equal, and is used by ==.

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

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

impl Pod for DMat2

impl Product for DMat2

fn product<I>(iter: I) -> Self

where I: Iterator<Item = Self>,

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

impl<'a> Product<&'a DMat2> for DMat2

fn product<I>(iter: I) -> Self

where I: Iterator<Item = &'a Self>,

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

impl Sub for DMat2

type Output = DMat2

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self

Performs the - operation.

impl Sub<&DMat2> for DMat2

type Output = DMat2

The resulting type after applying the - operator.

fn sub(self, rhs: &Self) -> Self

Performs the - operation.

impl Sub<&DMat2> for &DMat2

type Output = DMat2

The resulting type after applying the - operator.

fn sub(self, rhs: &DMat2) -> DMat2

Performs the - operation.

impl Sub<DMat2> for &DMat2

type Output = DMat2

The resulting type after applying the - operator.

fn sub(self, rhs: DMat2) -> DMat2

Performs the - operation.

impl SubAssign for DMat2

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl SubAssign<&DMat2> for DMat2

fn sub_assign(&mut self, rhs: &Self)

Performs the -= operation.

impl Sum for DMat2

fn sum<I>(iter: I) -> Self

where I: Iterator<Item = Self>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<'a> Sum<&'a DMat2> for DMat2

fn sum<I>(iter: I) -> Self

where I: Iterator<Item = &'a Self>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl Zeroable for DMat2

fn zeroed() -> Self

Calls zeroed.