Struct SymmetricMat3

pub struct SymmetricMat3 {
    pub m00: f32,
    pub m01: f32,
    pub m02: f32,
    pub m11: f32,
    pub m12: f32,
    pub m22: f32,
}

The bottom left triangle (including the diagonal) of a symmetric 3x3 column-major matrix.

This is useful for storing a symmetric 3x3 matrix in a more compact form and performing some matrix operations more efficiently.

Some defining properties of symmetric matrices include:

• The matrix is equal to its transpose.
• The matrix has real eigenvalues.
• The eigenvectors corresponding to the eigenvalues are orthogonal.
• The matrix is always diagonalizable.

The sum and difference of two symmetric matrices is always symmetric. However, the product of two symmetric matrices is only symmetric if the matrices are commutable, meaning that AB = BA.

Fields

m00: f32

The first element of the first column.

m01: f32

The second element of the first column.

m02: f32

The third element of the first column.

m11: f32

The second element of the second column.

m12: f32

The third element of the second column.

m22: f32

The third element of the third column.

Implementations

impl SymmetricMat3

pub fn mul_vec3a(&self, rhs: Vec3A) -> Vec3A

Transforms a Vec3A.

impl SymmetricMat3

pub const ZERO: Self

A symmetric 3x3 matrix with all elements set to 0.0.

pub const IDENTITY: Self

A symmetric 3x3 identity matrix, where all diagonal elements are 1.0, and all off-diagonal elements are 0.0.

pub const NAN: Self

All NaNs.

pub const fn new( m00: f32, m01: f32, m02: f32, m11: f32, m12: f32, m22: f32, ) -> Self

Creates a new symmetric 3x3 matrix from its bottom left triangle, including diagonal elements.

The elements are in column-major order mCR, where C is the column index and R is the row index.

pub const fn from_cols_unchecked( x_axis: Vec3, y_axis: Vec3, z_axis: Vec3, ) -> Self

Creates a symmetric 3x3 matrix from three column vectors.

Only the lower left triangle of the matrix is used. No check is performed to ensure that the given columns truly produce a symmetric matrix.

pub const fn from_cols_array_unchecked(m: &[f32; 9]) -> Self

Creates a symmetric 3x3 matrix from an array stored in column major order.

Only the lower left triangle of the matrix is used. No check is performed to ensure that the given columns truly produce a symmetric matrix.

pub const fn to_cols_array(&self) -> [f32; 9]

Creates an array storing data in column major order.

pub const fn from_cols_array_2d_unchecked(m: &[[f32; 3]; 3]) -> Self

Creates a symmetric 3x3 matrix from a 2D array stored in column major order.

Only the lower left triangle of the matrix is used. No check is performed to ensure that the given columns truly produce a symmetric matrix.

pub const fn to_cols_array_2d(&self) -> [[f32; 3]; 3]

Creates a 2D array storing data in column major order.

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

Creates a 3x3 matrix from the first 9 values in slice.

Only the lower left triangle of the matrix is used. No check is performed to ensure that the given columns truly produce a symmetric matrix.

Panics

Panics if slice is less than 9 elements long.

pub const fn from_diagonal(diagonal: Vec3) -> Self

Creates a symmetric 3x3 matrix with its diagonal set to diagonal and all other entries set to 0.0.

pub fn try_from_mat3(mat: Mat3) -> Result<Self, MatConversionError>

Tries to create a symmetric 3x3 matrix from a 3x3 matrix.

Errors

Returns a MatConversionError if the given matrix is not symmetric.

pub const fn from_mat3_unchecked(mat: Mat3) -> Self

Creates a symmetric 3x3 matrix from a 3x3 matrix.

Only the lower left triangle of the matrix is used. No check is performed to ensure that the given matrix is truly symmetric.

pub const fn to_mat3(&self) -> Mat3

Creates a 3x3 matrix from the symmetric 3x3 matrix in self.

pub fn from_outer_product(v: Vec3) -> Self

Creates a new symmetric 3x3 matrix from the outer product v * v^T.

pub const fn col(&self, index: usize) -> Vec3

Returns the matrix column for the given index.

Panics

Panics if index is greater than 2.

pub const fn row(&self, index: usize) -> Vec3

Returns the matrix row for the given index.

Panics

Panics if index is greater than 2.

pub fn diagonal(&self) -> Vec3

Returns the diagonal of the matrix.

pub fn is_finite(&self) -> bool

Returns true if, and only if, all elements are finite. If any element is either NaN or positive or negative infinity, this will return false.

pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

pub fn determinant(&self) -> f32

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.

pub fn inverse_or_zero(&self) -> Self

Returns the inverse of self, or a zero matrix if the matrix is not invertible.

pub fn abs(&self) -> Self

Takes the absolute value of each element in self.

pub fn skew(&self, vec: Vec3) -> Self

Computes skew_symmetric(vec) * self * skew_symmetric(vec).transpose() for a symmetric matrix self.

pub fn mul_vec3(&self, rhs: Vec3) -> Vec3

Transforms a 3D vector.

pub fn ldlt_solve(&self, rhs: Vec3) -> Vec3

Solves self * x = rhs for x using the LDLT decomposition.

self must be a positive semidefinite matrix.

pub fn mul_mat3(&self, rhs: &Mat3) -> Mat3

Multiplies two 3x3 matrices.

pub fn mul_mat32(&self, rhs: &Mat32) -> Mat32

Multiplies self by a 3x2 matrix, self * rhs.

pub fn complete_mat23_sandwich(a: &Mat23, b: &Mat23) -> Self

Computes a * transpose(b), assuming a = b * M for some symmetric matrix M.

This effectively completes the second half of the sandwich product b * M * transpose(b).

pub fn complete_mat32_sandwich(a: &Mat32, b: &Mat32) -> Self

Computes a * transpose(b), assuming a = b * M for some symmetric matrix M.

This effectively completes the second half of the sandwich product b * M * transpose(b).

pub fn add_mat3(&self, rhs: &Mat3) -> Mat3

Adds two 3x3 matrices.

pub fn sub_mat3(&self, rhs: &Mat3) -> Mat3

Subtracts two 3x3 matrices.

pub fn mul_symmetric_mat3(&self, rhs: &Self) -> Mat3

Multiplies two symmetric 3x3 matrices.

pub fn add_symmetric_mat3(&self, rhs: &Self) -> Self

Adds two symmetric 3x3 matrices.

pub fn sub_symmetric_mat3(&self, rhs: &Self) -> Self

Subtracts two symmetric 3x3 matrices.

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

Multiplies a 3x3 matrix by a scalar.

pub fn div_scalar(&self, rhs: f32) -> Self

Divides a 3x3 matrix by a scalar.

impl SymmetricMat3

pub fn as_symmetric_dmat3(&self) -> SymmetricDMat3

Returns the double precision version of self.

Trait Implementations

impl Add<&&SymmetricMat3> for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<&Mat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: &Mat3) -> Self::Output

Performs the + operation.

impl Add<&Mat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: &Mat3) -> Self::Output

Performs the + operation.

impl Add<&SymmetricMat3> for &Mat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: &SymmetricMat3) -> Self::Output

Performs the + operation.

impl Add<&SymmetricMat3> for Mat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: &SymmetricMat3) -> Self::Output

Performs the + operation.

impl Add<&SymmetricMat3> for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<Mat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: Mat3) -> Self::Output

Performs the + operation.

impl Add<Mat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: Mat3) -> Self::Output

Performs the + operation.

impl Add<SymmetricMat3> for Mat3

type Output = Mat3

The resulting type after applying the + operator.

fn add(self, rhs: SymmetricMat3) -> Self::Output

Performs the + operation.

impl Add for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign<&SymmetricMat3> for Mat3

fn add_assign(&mut self, rhs: &SymmetricMat3)

Performs the += operation.

impl AddAssign<&SymmetricMat3> for SymmetricMat3

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

Performs the += operation.

impl AddAssign<SymmetricMat3> for Mat3

fn add_assign(&mut self, rhs: SymmetricMat3)

Performs the += operation.

impl AddAssign for SymmetricMat3

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for SymmetricMat3

fn clone(&self) -> SymmetricMat3

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SymmetricMat3

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

Formats the value using the given formatter.

impl Default for SymmetricMat3

fn default() -> Self

Returns the “default value” for a type.

impl Display for SymmetricMat3

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

Formats the value using the given formatter.

impl Div<&SymmetricMat3> for &f32

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: &SymmetricMat3) -> Self::Output

Performs the / operation.

impl Div<&SymmetricMat3> for f32

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: &SymmetricMat3) -> Self::Output

Performs the / operation.

impl Div<&f32> for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: &f32) -> Self::Output

Performs the / operation.

impl Div<&f32> for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: &f32) -> Self::Output

Performs the / operation.

impl Div<SymmetricMat3> for &f32

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: SymmetricMat3) -> Self::Output

Performs the / operation.

impl Div<SymmetricMat3> for f32

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: SymmetricMat3) -> Self::Output

Performs the / operation.

impl Div<f32> for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: f32) -> Self::Output

Performs the / operation.

impl Div<f32> for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the / operator.

fn div(self, rhs: f32) -> Self::Output

Performs the / operation.

impl DivAssign<&f32> for SymmetricMat3

fn div_assign(&mut self, rhs: &f32)

Performs the /= operation.

impl DivAssign<f32> for SymmetricMat3

fn div_assign(&mut self, rhs: f32)

Performs the /= operation.

impl From<SymmetricMat3> for Mat3

fn from(mat: SymmetricMat3) -> Self

Converts to this type from the input type.

impl FromReflect for SymmetricMat3

fn from_reflect(reflect: &dyn PartialReflect) -> Option<Self>

Constructs a concrete instance of Self from a reflected value.

fn take_from_reflect( reflect: Box<dyn PartialReflect>, ) -> Result<Self, Box<dyn PartialReflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails.

impl GetTypeRegistration for SymmetricMat3

fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.

fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type.

impl Mul<&&SymmetricMat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<&Mat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3) -> Self::Output

Performs the * operation.

impl Mul<&Mat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3) -> Self::Output

Performs the * operation.

impl Mul<&Mat32> for &SymmetricMat3

type Output = Mat32

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat32) -> Self::Output

Performs the * operation.

impl Mul<&Mat32> for SymmetricMat3

type Output = Mat32

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat32) -> Self::Output

Performs the * operation.

impl Mul<&SymmetricMat3> for &Mat23

type Output = Mat23

The resulting type after applying the * operator.

fn mul(self, rhs: &SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<&SymmetricMat3> for &Mat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: &SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<&SymmetricMat3> for &f32

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: &SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<&SymmetricMat3> for Mat23

type Output = Mat23

The resulting type after applying the * operator.

fn mul(self, rhs: &SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<&SymmetricMat3> for Mat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: &SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<&SymmetricMat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<&SymmetricMat3> for f32

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: &SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<&Vec3> for &SymmetricMat3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3) -> Self::Output

Performs the * operation.

impl Mul<&Vec3> for SymmetricMat3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3) -> Self::Output

Performs the * operation.

impl Mul<&f32> for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: &f32) -> Self::Output

Performs the * operation.

impl Mul<&f32> for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: &f32) -> Self::Output

Performs the * operation.

impl Mul<Mat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3) -> Self::Output

Performs the * operation.

impl Mul<Mat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3) -> Self::Output

Performs the * operation.

impl Mul<Mat32> for &SymmetricMat3

type Output = Mat32

The resulting type after applying the * operator.

fn mul(self, rhs: Mat32) -> Self::Output

Performs the * operation.

impl Mul<Mat32> for SymmetricMat3

type Output = Mat32

The resulting type after applying the * operator.

fn mul(self, rhs: Mat32) -> Self::Output

Performs the * operation.

impl Mul<SymmetricMat3> for &Mat23

type Output = Mat23

The resulting type after applying the * operator.

fn mul(self, rhs: SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<SymmetricMat3> for &Mat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<SymmetricMat3> for &f32

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<SymmetricMat3> for Mat23

type Output = Mat23

The resulting type after applying the * operator.

fn mul(self, rhs: SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<SymmetricMat3> for Mat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<SymmetricMat3> for f32

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: SymmetricMat3) -> Self::Output

Performs the * operation.

impl Mul<Vec3> for &SymmetricMat3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3) -> Self::Output

Performs the * operation.

impl Mul<Vec3> for SymmetricMat3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3) -> Self::Output

Performs the * operation.

impl Mul<Vec3A> for SymmetricMat3

type Output = Vec3A

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3A) -> Self::Output

Performs the * operation.

impl Mul<f32> for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Self::Output

Performs the * operation.

impl Mul<f32> for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Self::Output

Performs the * operation.

impl Mul for &SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul for SymmetricMat3

type Output = Mat3

The resulting type after applying the * operator.

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

Performs the * operation.

impl MulAssign<&SymmetricMat3> for Mat3

fn mul_assign(&mut self, rhs: &SymmetricMat3)

Performs the *= operation.

impl MulAssign<&f32> for SymmetricMat3

fn mul_assign(&mut self, rhs: &f32)

Performs the *= operation.

impl MulAssign<SymmetricMat3> for Mat3

fn mul_assign(&mut self, rhs: SymmetricMat3)

Performs the *= operation.

impl MulAssign<f32> for SymmetricMat3

fn mul_assign(&mut self, rhs: f32)

Performs the *= operation.

impl Neg for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl PartialEq for SymmetricMat3

fn eq(&self, other: &SymmetricMat3) -> 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 PartialReflect for SymmetricMat3

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

Returns the TypeInfo of the type represented by this value.

fn try_apply(&mut self, value: &dyn PartialReflect) -> Result<(), ApplyError>

Tries to apply a reflected value to this value.

fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type.

fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type.

fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type.

fn reflect_owned(self: Box<Self>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type.

fn try_into_reflect( self: Box<Self>, ) -> Result<Box<dyn Reflect>, Box<dyn PartialReflect>>

Attempts to cast this type to a boxed, fully-reflected value.

fn try_as_reflect(&self) -> Option<&dyn Reflect>

Attempts to cast this type to a fully-reflected value.

fn try_as_reflect_mut(&mut self) -> Option<&mut dyn Reflect>

Attempts to cast this type to a mutable, fully-reflected value.

fn into_partial_reflect(self: Box<Self>) -> Box<dyn PartialReflect>

Casts this type to a boxed, reflected value.

fn as_partial_reflect(&self) -> &dyn PartialReflect

Casts this type to a reflected value.

fn as_partial_reflect_mut(&mut self) -> &mut dyn PartialReflect

Casts this type to a mutable, reflected value.

fn reflect_partial_eq(&self, value: &dyn PartialReflect) -> Option<bool>

Returns a “partial equality” comparison result.

fn reflect_clone(&self) -> Result<Box<dyn Reflect>, ReflectCloneError>

Attempts to clone Self using reflection.

fn apply(&mut self, value: &(dyn PartialReflect + 'static))

Applies a reflected value to this value.

fn to_dynamic(&self) -> Box<dyn PartialReflect>

Converts this reflected value into its dynamic representation based on its kind.

fn reflect_clone_and_take<T>(&self) -> Result<T, ReflectCloneError>

where T: 'static, Self: Sized + TypePath,

For a type implementing PartialReflect, combines reflect_clone and take in a useful fashion, automatically constructing an appropriate ReflectCloneError if the downcast fails.

fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type).

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

Debug formatter for the value.

fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type.

impl Reflect for SymmetricMat3

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

Returns the value as a Box<dyn Any>.

fn as_any(&self) -> &dyn Any

Returns the value as a &dyn Any.

fn as_any_mut(&mut self) -> &mut dyn Any

Returns the value as a &mut dyn Any.

fn into_reflect(self: Box<Self>) -> Box<dyn Reflect>

Casts this type to a boxed, fully-reflected value.

fn as_reflect(&self) -> &dyn Reflect

Casts this type to a fully-reflected value.

fn as_reflect_mut(&mut self) -> &mut dyn Reflect

Casts this type to a mutable, fully-reflected value.

fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value.

impl Struct for SymmetricMat3

fn field(&self, name: &str) -> Option<&dyn PartialReflect>

Returns a reference to the value of the field named name as a &dyn PartialReflect.

fn field_mut(&mut self, name: &str) -> Option<&mut dyn PartialReflect>

Returns a mutable reference to the value of the field named name as a &mut dyn PartialReflect.

fn field_at(&self, index: usize) -> Option<&dyn PartialReflect>

Returns a reference to the value of the field with index index as a &dyn PartialReflect.

fn field_at_mut(&mut self, index: usize) -> Option<&mut dyn PartialReflect>

Returns a mutable reference to the value of the field with index index as a &mut dyn PartialReflect.

fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.

fn field_len(&self) -> usize

Returns the number of fields in the struct.

fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.

fn to_dynamic_struct(&self) -> DynamicStruct

Creates a new DynamicStruct from this struct.

fn get_represented_struct_info(&self) -> Option<&'static StructInfo>

Will return None if TypeInfo is not available.

impl Sub<&&SymmetricMat3> for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<&Mat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: &Mat3) -> Self::Output

Performs the - operation.

impl Sub<&Mat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: &Mat3) -> Self::Output

Performs the - operation.

impl Sub<&SymmetricMat3> for &Mat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: &SymmetricMat3) -> Self::Output

Performs the - operation.

impl Sub<&SymmetricMat3> for Mat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: &SymmetricMat3) -> Self::Output

Performs the - operation.

impl Sub<&SymmetricMat3> for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<Mat3> for &SymmetricMat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: Mat3) -> Self::Output

Performs the - operation.

impl Sub<Mat3> for SymmetricMat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: Mat3) -> Self::Output

Performs the - operation.

impl Sub<SymmetricMat3> for Mat3

type Output = Mat3

The resulting type after applying the - operator.

fn sub(self, rhs: SymmetricMat3) -> Self::Output

Performs the - operation.

impl Sub for &SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub for SymmetricMat3

type Output = SymmetricMat3

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign<&SymmetricMat3> for Mat3

fn sub_assign(&mut self, rhs: &SymmetricMat3)

Performs the -= operation.

impl SubAssign<&SymmetricMat3> for SymmetricMat3

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

Performs the -= operation.

impl SubAssign<SymmetricMat3> for Mat3

fn sub_assign(&mut self, rhs: SymmetricMat3)

Performs the -= operation.

impl SubAssign for SymmetricMat3

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a> Sum<&'a SymmetricMat3> for SymmetricMat3

fn sum<I: Iterator<Item = &'a SymmetricMat3>>(iter: I) -> Self

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

impl Sum for SymmetricMat3

fn sum<I: Iterator<Item = SymmetricMat3>>(iter: I) -> Self

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

impl TryFrom<Mat3> for SymmetricMat3

type Error = MatConversionError

The type returned in the event of a conversion error.

fn try_from(mat: Mat3) -> Result<Self, Self::Error>

Performs the conversion.

impl TypePath for SymmetricMat3

fn type_path() -> &'static str

Returns the fully qualified path of the underlying type.

fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type.

fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous.

fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous.

fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous.

impl Typed for SymmetricMat3

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.

impl Copy for SymmetricMat3

impl StructuralPartialEq for SymmetricMat3