Struct DMat3

#[repr(C)]
pub struct DMat3 {
    pub x_axis: DVec3,
    pub y_axis: DVec3,
    pub z_axis: DVec3,
}

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 DAffine2 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.

Fields

x_axis: DVec3

y_axis: DVec3

z_axis: DVec3

Implementations

impl DMat3

pub const ZERO: DMat3 = _

A 3x3 matrix with all elements set to 0.0.

pub const IDENTITY: DMat3 = _

A 3x3 identity matrix, where all diagonal elements are 1, and all off-diagonal elements are 0.

pub const NAN: DMat3 = _

All NAN:s.

pub const fn from_cols(x_axis: DVec3, y_axis: DVec3, z_axis: DVec3) -> DMat3

Creates a 3x3 matrix from three column vectors.

pub const fn from_cols_array(m: &[f64; 9]) -> DMat3

Creates a 3x3 matrix from a [f64; 9] array stored in column major order. If your data is stored in row major you will need to transpose the returned matrix.

pub const fn to_cols_array(&self) -> [f64; 9]

Creates a [f64; 9] array storing data in column major order. If you require data in row major order transpose the matrix first.

pub const fn from_cols_array_2d(m: &[[f64; 3]; 3]) -> DMat3

Creates a 3x3 matrix from a [[f64; 3]; 3] 3D array stored in column major order. If your data is in row major order you will need to transpose the returned matrix.

pub const fn to_cols_array_2d(&self) -> [[f64; 3]; 3]

Creates a [[f64; 3]; 3] 3D array storing data in column major order. If you require data in row major order transpose the matrix first.

pub const fn from_diagonal(diagonal: DVec3) -> DMat3

Creates a 3x3 matrix with its diagonal set to diagonal and all other entries set to 0.

pub fn from_mat4(m: DMat4) -> DMat3

Creates a 3x3 matrix from a 4x4 matrix, discarding the 4th row and column.

pub fn from_quat(rotation: DQuat) -> DMat3

Creates a 3D rotation matrix from the given quaternion.

Panics

Will panic if rotation is not normalized when glam_assert is enabled.

pub fn from_axis_angle(axis: DVec3, angle: f64) -> DMat3

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.

pub fn from_euler(order: EulerRot, a: f64, b: f64, c: f64) -> DMat3

Creates a 3D rotation matrix from the given euler rotation sequence and the angles (in radians).

pub fn from_rotation_x(angle: f64) -> DMat3

Creates a 3D rotation matrix from angle (in radians) around the x axis.

pub fn from_rotation_y(angle: f64) -> DMat3

Creates a 3D rotation matrix from angle (in radians) around the y axis.

pub fn from_rotation_z(angle: f64) -> DMat3

Creates a 3D rotation matrix from angle (in radians) around the z axis.

pub fn from_translation(translation: DVec2) -> DMat3

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().

pub fn from_angle(angle: f64) -> DMat3

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().

pub fn from_scale_angle_translation( scale: DVec2, angle: f64, translation: DVec2, ) -> DMat3

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().

pub fn from_scale(scale: DVec2) -> DMat3

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.

pub fn from_mat2(m: DMat2) -> DMat3

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().

pub const fn from_cols_slice(slice: &[f64]) -> DMat3

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

Panics

Panics if slice is less than 9 elements long.

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

Writes the columns of self to the first 9 elements in slice.

Panics

Panics if slice is less than 9 elements long.

pub fn col(&self, index: usize) -> DVec3

Returns the matrix column for the given index.

Panics

Panics if index is greater than 2.

pub fn col_mut(&mut self, index: usize) -> &mut DVec3

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

Panics

Panics if index is greater than 2.

pub fn row(&self, index: usize) -> DVec3

Returns the matrix row for the given index.

Panics

Panics if index is greater than 2.

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) -> DMat3

Returns the transpose of self.

pub fn determinant(&self) -> f64

Returns the determinant of self.

pub fn inverse(&self) -> DMat3

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 transform_point2(&self, rhs: DVec2) -> DVec2

Transforms the given 2D vector as a point.

This is the equivalent of multiplying rhs as a 3D vector where z is 1.

This method assumes that self contains a valid affine transform.

Panics

Will panic if the 2nd row of self is not (0, 0, 1) when glam_assert is enabled.

pub fn transform_vector2(&self, rhs: DVec2) -> DVec2

Rotates the given 2D vector.

This is the equivalent of multiplying rhs as a 3D vector where z is 0.

This method assumes that self contains a valid affine transform.

Panics

Will panic if the 2nd row of self is not (0, 0, 1) when glam_assert is enabled.

pub fn mul_vec3(&self, rhs: DVec3) -> DVec3

Transforms a 3D vector.

pub fn mul_mat3(&self, rhs: &DMat3) -> DMat3

Multiplies two 3x3 matrices.

pub fn add_mat3(&self, rhs: &DMat3) -> DMat3

Adds two 3x3 matrices.

pub fn sub_mat3(&self, rhs: &DMat3) -> DMat3

Subtracts two 3x3 matrices.

pub fn mul_scalar(&self, rhs: f64) -> DMat3

Multiplies a 3x3 matrix by a scalar.

pub fn div_scalar(&self, rhs: f64) -> DMat3

Divides a 3x3 matrix by a scalar.

pub fn abs_diff_eq(&self, rhs: DMat3, 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) -> DMat3

Takes the absolute value of each element in self

pub fn as_mat3(&self) -> Mat3

Trait Implementations

impl Add for DMat3

type Output = DMat3

The resulting type after applying the + operator.

fn add(self, rhs: DMat3) -> <DMat3 as Add>::Output

Performs the + operation.

impl AddAssign for DMat3

fn add_assign(&mut self, rhs: DMat3)

Performs the += operation.

impl AsMut<[f64; 9]> for DMat3

Available on non-target_arch="spirv" only.

fn as_mut(&mut self) -> &mut [f64; 9]

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

impl AsRef<[f64; 9]> for DMat3

Available on non-target_arch="spirv" only.

fn as_ref(&self) -> &[f64; 9]

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

impl Clone for DMat3

fn clone(&self) -> DMat3

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for DMat3

Available on non-target_arch="spirv" only.

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

Formats the value using the given formatter.

impl Default for DMat3

fn default() -> DMat3

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for DMat3

fn deserialize<D>( deserializer: D, ) -> Result<DMat3, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for DMat3

Available on non-target_arch="spirv" only.

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

Formats the value using the given formatter.

impl Div<f64> for DMat3

type Output = DMat3

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> <DMat3 as Div<f64>>::Output

Performs the / operation.

impl DivAssign<f64> for DMat3

fn div_assign(&mut self, rhs: f64)

Performs the /= operation.

impl From<DAffine2> for DMat3

fn from(m: DAffine2) -> DMat3

Converts to this type from the input type.

impl FromReflect for DMat3

where DMat3: Any + Send + Sync, DVec3: FromReflect + TypePath + RegisterForReflection,

fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<DMat3>

Constructs a concrete instance of Self from a reflected value.

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.

impl GetTypeRegistration for DMat3

where DMat3: Any + Send + Sync, DVec3: FromReflect + TypePath + RegisterForReflection,

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<DAffine2> for DMat3

type Output = DMat3

The resulting type after applying the * operator.

fn mul(self, rhs: DAffine2) -> <DMat3 as Mul<DAffine2>>::Output

Performs the * operation.

impl Mul<DMat3> for DAffine2

type Output = DMat3

The resulting type after applying the * operator.

fn mul(self, rhs: DMat3) -> <DAffine2 as Mul<DMat3>>::Output

Performs the * operation.

impl Mul<DVec3> for DMat3

type Output = DVec3

The resulting type after applying the * operator.

fn mul(self, rhs: DVec3) -> <DMat3 as Mul<DVec3>>::Output

Performs the * operation.

impl Mul<f64> for DMat3

type Output = DMat3

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> <DMat3 as Mul<f64>>::Output

Performs the * operation.

impl Mul for DMat3

type Output = DMat3

The resulting type after applying the * operator.

fn mul(self, rhs: DMat3) -> <DMat3 as Mul>::Output

Performs the * operation.

impl MulAssign<f64> for DMat3

fn mul_assign(&mut self, rhs: f64)

Performs the *= operation.

impl MulAssign for DMat3

fn mul_assign(&mut self, rhs: DMat3)

Performs the *= operation.

impl Neg for DMat3

type Output = DMat3

The resulting type after applying the - operator.

fn neg(self) -> <DMat3 as Neg>::Output

Performs the unary - operation.

impl PartialEq for DMat3

fn eq(&self, rhs: &DMat3) -> 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<'a> Product<&'a DMat3> for DMat3

fn product<I>(iter: I) -> DMat3

where I: Iterator<Item = &'a DMat3>,

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

impl Product for DMat3

fn product<I>(iter: I) -> DMat3

where I: Iterator<Item = DMat3>,

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

impl Reflect for DMat3

where DMat3: Any + Send + Sync, DVec3: FromReflect + TypePath + RegisterForReflection,

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

Returns the TypeInfo of the type represented by this value.

fn into_any(self: Box<DMat3>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.

fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a &dyn Any.

fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a &mut dyn Any.

fn into_reflect(self: Box<DMat3>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.

fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a reflected value.

fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable reflected value.

fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object.

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

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

fn try_apply( &mut self, value: &(dyn Reflect + 'static), ) -> 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<DMat3>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type.

fn reflect_partial_eq(&self, value: &(dyn Reflect + 'static)) -> Option<bool>

Returns a “partial equality” comparison result.

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

Debug formatter for the value.

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

Applies a reflected value to this value.

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

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

fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value.

fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type.

impl Serialize for DMat3

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.

impl Struct for DMat3

where DMat3: Any + Send + Sync, DVec3: FromReflect + TypePath + RegisterForReflection,

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

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

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.

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.

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.

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 clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.

impl Sub for DMat3

type Output = DMat3

The resulting type after applying the - operator.

fn sub(self, rhs: DMat3) -> <DMat3 as Sub>::Output

Performs the - operation.

impl SubAssign for DMat3

fn sub_assign(&mut self, rhs: DMat3)

Performs the -= operation.

impl<'a> Sum<&'a DMat3> for DMat3

fn sum<I>(iter: I) -> DMat3

where I: Iterator<Item = &'a DMat3>,

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

impl Sum for DMat3

fn sum<I>(iter: I) -> DMat3

where I: Iterator<Item = DMat3>,

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

impl TypePath for DMat3

where DMat3: Any + Send + Sync,

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 DMat3

where DMat3: Any + Send + Sync, DVec3: FromReflect + TypePath + RegisterForReflection,

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.

impl Zeroable for DMat3

fn zeroed() -> Self

Calls zeroed.

impl Copy for DMat3

impl Pod for DMat3