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§

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impl Mat2

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pub const ZERO: Mat2 = _

A 2x2 matrix with all elements set to 0.0.

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pub const IDENTITY: Mat2 = _

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

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pub const NAN: Mat2 = _

All NAN:s.

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pub const fn from_cols(x_axis: Vec2, y_axis: Vec2) -> Mat2

Creates a 2x2 matrix from two column vectors.

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pub const fn from_cols_array(m: &[f32; 4]) -> Mat2

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.

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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.

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pub const fn from_cols_array_2d(m: &[[f32; 2]; 2]) -> Mat2

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.

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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.

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pub const fn from_diagonal(diagonal: Vec2) -> Mat2

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

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pub fn from_scale_angle(scale: Vec2, angle: f32) -> Mat2

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

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pub fn from_angle(angle: f32) -> Mat2

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

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pub fn from_mat3(m: Mat3) -> Mat2

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

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pub fn from_mat3a(m: Mat3A) -> Mat2

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

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pub const fn from_cols_slice(slice: &[f32]) -> Mat2

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

Panics

Panics if slice is less than 4 elements long.

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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.

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pub fn col(&self, index: usize) -> Vec2

Returns the matrix column for the given index.

Panics

Panics if index is greater than 1.

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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.

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pub fn row(&self, index: usize) -> Vec2

Returns the matrix row for the given index.

Panics

Panics if index is greater than 1.

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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.

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pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

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pub fn transpose(&self) -> Mat2

Returns the transpose of self.

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pub fn determinant(&self) -> f32

Returns the determinant of self.

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pub fn inverse(&self) -> Mat2

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.

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pub fn mul_vec2(&self, rhs: Vec2) -> Vec2

Transforms a 2D vector.

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pub fn mul_mat2(&self, rhs: &Mat2) -> Mat2

Multiplies two 2x2 matrices.

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pub fn add_mat2(&self, rhs: &Mat2) -> Mat2

Adds two 2x2 matrices.

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pub fn sub_mat2(&self, rhs: &Mat2) -> Mat2

Subtracts two 2x2 matrices.

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pub fn mul_scalar(&self, rhs: f32) -> Mat2

Multiplies a 2x2 matrix by a scalar.

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pub fn abs_diff_eq(&self, rhs: Mat2, 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.

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pub fn as_dmat2(&self) -> DMat2

Trait Implementations§

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impl Add for Mat2

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type Output = Mat2

The resulting type after applying the + operator.
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fn add(self, rhs: Mat2) -> <Mat2 as Add>::Output

Performs the + operation. Read more
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impl AddAssign for Mat2

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fn add_assign(&mut self, rhs: Mat2)

Performs the += operation. Read more
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impl AsMut<[f32; 4]> for Mat2

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fn as_mut(&mut self) -> &mut [f32; 4]

Converts this type into a mutable reference of the (usually inferred) input type.
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impl AsMutMatrixParts<f32, 2, 2> for Mat2
where Mat2: AsMut<[f32; 4]>, f32: MatrixScalar,

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fn as_mut_parts(&mut self) -> &mut [[f32; 2]; 2]

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impl AsRef<[f32; 4]> for Mat2

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fn as_ref(&self) -> &[f32; 4]

Converts this type into a shared reference of the (usually inferred) input type.
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impl AsRefMatrixParts<f32, 2, 2> for Mat2
where Mat2: AsRef<[f32; 4]>, f32: MatrixScalar,

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fn as_ref_parts(&self) -> &[[f32; 2]; 2]

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impl Clone for Mat2

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fn clone(&self) -> Mat2

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl CreateFrom for Mat2
where Mat2: ShaderType<ExtraMetadata = MatrixMetadata> + FromMatrixParts<f32, 2, 2>, f32: MatrixScalar + CreateFrom,

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fn create_from<B>(reader: &mut Reader<B>) -> Mat2
where B: BufferRef,

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impl Debug for Mat2

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

Formats the value using the given formatter. Read more
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impl Default for Mat2

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fn default() -> Mat2

Returns the “default value” for a type. Read more
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impl Deref for Mat2

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type Target = Cols2<Vec2>

The resulting type after dereferencing.
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fn deref(&self) -> &<Mat2 as Deref>::Target

Dereferences the value.
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impl DerefMut for Mat2

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fn deref_mut(&mut self) -> &mut <Mat2 as Deref>::Target

Mutably dereferences the value.
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impl<'de> Deserialize<'de> for Mat2

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fn deserialize<D>( deserializer: D ) -> Result<Mat2, <D as Deserializer<'de>>::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Display for Mat2

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

Formats the value using the given formatter. Read more
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impl From<ColumnMatrix2<f32>> for Mat2

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fn from(m: ColumnMatrix2<f32>) -> Mat2

Converts to this type from the input type.
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impl From<Mat2> for ColumnMatrix2<f32>

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fn from(m: Mat2) -> ColumnMatrix2<f32>

Converts to this type from the input type.
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impl From<Mat2> for RowMatrix2<f32>

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fn from(m: Mat2) -> RowMatrix2<f32>

Converts to this type from the input type.
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impl From<RowMatrix2<f32>> for Mat2

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fn from(m: RowMatrix2<f32>) -> Mat2

Converts to this type from the input type.
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impl FromMatrixParts<f32, 2, 2> for Mat2

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fn from_parts(parts: [[f32; 2]; 2]) -> Mat2

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impl FromReflect for Mat2

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fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<Mat2>

Constructs a concrete instance of Self from a reflected value.
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fn take_from_reflect( reflect: Box<dyn Reflect> ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails. Read more
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impl GetTypeRegistration for Mat2

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impl IntoMint for Mat2

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type MintType = ColumnMatrix2<f32>

The mint type that this type is associated with.
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impl Mul<Mat2> for f32

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type Output = Mat2

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat2) -> <f32 as Mul<Mat2>>::Output

Performs the * operation. Read more
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impl Mul<Vec2> for Mat2

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, rhs: Vec2) -> <Mat2 as Mul<Vec2>>::Output

Performs the * operation. Read more
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impl Mul<f32> for Mat2

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type Output = Mat2

The resulting type after applying the * operator.
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fn mul(self, rhs: f32) -> <Mat2 as Mul<f32>>::Output

Performs the * operation. Read more
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impl Mul for Mat2

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type Output = Mat2

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat2) -> <Mat2 as Mul>::Output

Performs the * operation. Read more
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impl MulAssign<f32> for Mat2

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fn mul_assign(&mut self, rhs: f32)

Performs the *= operation. Read more
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impl MulAssign for Mat2

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fn mul_assign(&mut self, rhs: Mat2)

Performs the *= operation. Read more
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impl Neg for Mat2

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type Output = Mat2

The resulting type after applying the - operator.
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fn neg(self) -> <Mat2 as Neg>::Output

Performs the unary - operation. Read more
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impl PartialEq for Mat2

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fn eq(&self, rhs: &Mat2) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<'a> Product<&'a Mat2> for Mat2

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fn product<I>(iter: I) -> Mat2
where I: Iterator<Item = &'a Mat2>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Product for Mat2

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fn product<I>(iter: I) -> Mat2
where I: Iterator<Item = Mat2>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl ReadFrom for Mat2
where Mat2: ShaderType<ExtraMetadata = MatrixMetadata> + AsMutMatrixParts<f32, 2, 2>, f32: MatrixScalar + ReadFrom,

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fn read_from<B>(&mut self, reader: &mut Reader<B>)
where B: BufferRef,

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impl Reflect for Mat2

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fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value. Read more
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fn into_any(self: Box<Mat2>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.
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fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a &dyn Any.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a &mut dyn Any.
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fn into_reflect(self: Box<Mat2>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.
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fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a reflected value.
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fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable reflected value.
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fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object. Read more
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fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
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fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. Read more
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fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
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fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
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fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
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fn reflect_owned(self: Box<Mat2>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
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fn reflect_partial_eq(&self, value: &(dyn Reflect + 'static)) -> Option<bool>

Returns a “partial equality” comparison result. Read more
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fn debug(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Debug formatter for the value. Read more
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fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
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fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. Read more
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fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
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impl Serialize for Mat2

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fn serialize<S>( &self, serializer: S ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl ShaderSize for Mat2
where f32: ShaderSize,

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const SHADER_SIZE: NonZeroU64 = _

Represents WGSL Size (equivalent to ShaderType::min_size)
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impl ShaderType for Mat2
where f32: ShaderSize,

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fn min_size() -> NonZeroU64

Represents the minimum size of Self (equivalent to GPUBufferBindingLayout.minBindingSize) Read more
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fn size(&self) -> NonZeroU64

Returns the size of Self at runtime Read more
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fn assert_uniform_compat()

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impl Struct for Mat2

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fn field(&self, name: &str) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field named name as a &dyn Reflect.
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fn field_mut(&mut self, name: &str) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field named name as a &mut dyn Reflect.
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fn field_at(&self, index: usize) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field with index index as a &dyn Reflect.
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fn field_at_mut(&mut self, index: usize) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field with index index as a &mut dyn Reflect.
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fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.
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fn field_len(&self) -> usize

Returns the number of fields in the struct.
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fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.
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fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.
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impl Sub for Mat2

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type Output = Mat2

The resulting type after applying the - operator.
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fn sub(self, rhs: Mat2) -> <Mat2 as Sub>::Output

Performs the - operation. Read more
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impl SubAssign for Mat2

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fn sub_assign(&mut self, rhs: Mat2)

Performs the -= operation. Read more
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impl<'a> Sum<&'a Mat2> for Mat2

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fn sum<I>(iter: I) -> Mat2
where I: Iterator<Item = &'a Mat2>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl Sum for Mat2

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fn sum<I>(iter: I) -> Mat2
where I: Iterator<Item = Mat2>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.
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impl TypePath for Mat2
where Mat2: Any + Send + Sync,

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fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
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fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
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fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous. Read more
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fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous. Read more
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fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous. Read more
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impl Typed for Mat2

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fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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impl WriteInto for Mat2
where Mat2: ShaderType<ExtraMetadata = MatrixMetadata> + AsRefMatrixParts<f32, 2, 2>, f32: MatrixScalar + WriteInto,

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fn write_into<B>(&self, writer: &mut Writer<B>)
where B: BufferMut,

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impl Zeroable for Mat2

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fn zeroed() -> Self

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impl Copy for Mat2

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impl Pod for Mat2

Auto Trait Implementations§

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impl RefUnwindSafe for Mat2

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impl Send for Mat2

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impl Sync for Mat2

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impl Unpin for Mat2

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impl UnwindSafe for Mat2

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T, U> AsBindGroupShaderType<U> for T
where U: ShaderType, &'a T: for<'a> Into<U>,

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fn as_bind_group_shader_type(&self, _images: &RenderAssets<Image>) -> U

Return the T ShaderType for self. When used in AsBindGroup derives, it is safe to assume that all images in self exist.
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> CheckedBitPattern for T
where T: AnyBitPattern,

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type Bits = T

Self must have the same layout as the specified Bits except for the possible invalid bit patterns being checked during is_valid_bit_pattern.
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fn is_valid_bit_pattern(_bits: &T) -> bool

If this function returns true, then it must be valid to reinterpret bits as &Self.
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impl<T> Downcast<T> for T

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fn downcast(&self) -> &T

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impl<T> Downcast for T
where T: Any,

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fn into_any(self: Box<T>) -> Box<dyn Any>

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
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fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
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fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
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impl<T> DowncastSync for T
where T: Any + Send + Sync,

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fn into_any_arc(self: Arc<T>) -> Arc<dyn Any + Send + Sync>

Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.
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impl<T> DynamicTypePath for T
where T: TypePath,

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<S> FromSample<S> for S

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fn from_sample_(s: S) -> S

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impl<T> FromWorld for T
where T: Default,

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fn from_world(_world: &mut World) -> T

Creates Self using data from the given World.
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impl<S> GetField for S
where S: Struct,

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fn get_field<T>(&self, name: &str) -> Option<&T>
where T: Reflect,

Returns a reference to the value of the field named name, downcast to T.
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fn get_field_mut<T>(&mut self, name: &str) -> Option<&mut T>
where T: Reflect,

Returns a mutable reference to the value of the field named name, downcast to T.
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impl<T> GetPath for T
where T: Reflect + ?Sized,

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fn reflect_path<'p>( &self, path: impl ReflectPath<'p> ) -> Result<&(dyn Reflect + 'static), ReflectPathError<'p>>

Returns a reference to the value specified by path. Read more
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Returns a mutable reference to the value specified by path. Read more
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fn path<'p, T>( &self, path: impl ReflectPath<'p> ) -> Result<&T, ReflectPathError<'p>>
where T: Reflect,

Returns a statically typed reference to the value specified by path. Read more
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fn path_mut<'p, T>( &mut self, path: impl ReflectPath<'p> ) -> Result<&mut T, ReflectPathError<'p>>
where T: Reflect,

Returns a statically typed mutable reference to the value specified by path. Read more
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impl<T> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
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Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

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

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where T: Serialize + ?Sized,

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fn erased_serialize(&self, serializer: &mut dyn Serializer) -> Result<(), Error>

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fn do_erased_serialize( &self, serializer: &mut dyn Serializer ) -> Result<(), ErrorImpl>

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

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type Owned = T

The resulting type after obtaining ownership.
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Creates owned data from borrowed data, usually by cloning. Read more
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Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> ToSample<U> for T
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fn to_sample_(self) -> U

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default fn to_string(&self) -> String

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where U: Into<T>,

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type Error = Infallible

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Performs the conversion.
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where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> TypeData for T
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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

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