Struct truck_geometry::base::cgmath::Matrix2
Expand description
A 2 x 2, column major matrix
This type is marked as #[repr(C)]
.
Fields§
§x: Vector2<S>
The first column of the matrix.
y: Vector2<S>
The second column of the matrix.
Implementations§
§impl<S> Matrix2<S>where
S: BaseFloat,
impl<S> Matrix2<S>where
S: BaseFloat,
pub fn look_at(dir: Vector2<S>, up: Vector2<S>) -> Matrix2<S>
pub fn look_at(dir: Vector2<S>, up: Vector2<S>) -> Matrix2<S>
Create a transformation matrix that will cause unit_x()
to point at
dir
. unit_y()
will be perpendicular to dir
, and the closest to up
.
pub fn look_at_stable(dir: Vector2<S>, flip: bool) -> Matrix2<S>
pub fn look_at_stable(dir: Vector2<S>, flip: bool) -> Matrix2<S>
Crate a transformation that will cause unit_x()
to point at
dir
. This is similar to look_at
, but does not take an up
vector.
This will not cause unit_y()
to flip when dir
crosses over the up
vector.
pub fn from_angle<A>(theta: A) -> Matrix2<S>where
A: Into<Rad<S>>,
Trait Implementations§
§impl<S> AbsDiffEq<Matrix2<S>> for Matrix2<S>where
S: BaseFloat,
impl<S> AbsDiffEq<Matrix2<S>> for Matrix2<S>where
S: BaseFloat,
§fn default_epsilon() -> <S as AbsDiffEq<S>>::Epsilon
fn default_epsilon() -> <S as AbsDiffEq<S>>::Epsilon
The default tolerance to use when testing values that are close together. Read more
§fn abs_diff_eq(
&self,
other: &Matrix2<S>,
epsilon: <S as AbsDiffEq<S>>::Epsilon
) -> bool
fn abs_diff_eq(
&self,
other: &Matrix2<S>,
epsilon: <S as AbsDiffEq<S>>::Epsilon
) -> bool
A test for equality that uses the absolute difference to compute the approximate
equality of two numbers.
§fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
The inverse of
AbsDiffEq::abs_diff_eq
.§impl<S> AddAssign<Matrix2<S>> for Matrix2<S>where
S: BaseFloat + AddAssign<S>,
impl<S> AddAssign<Matrix2<S>> for Matrix2<S>where
S: BaseFloat + AddAssign<S>,
§fn add_assign(&mut self, other: Matrix2<S>)
fn add_assign(&mut self, other: Matrix2<S>)
Performs the
+=
operation. Read more§impl<F> Decomposition for Matrix2<F>where
F: BaseFloat,
impl<F> Decomposition for Matrix2<F>where
F: BaseFloat,
§impl<'de, S> Deserialize<'de> for Matrix2<S>where
S: Deserialize<'de>,
impl<'de, S> Deserialize<'de> for Matrix2<S>where
S: Deserialize<'de>,
§fn deserialize<__D>(
__deserializer: __D
) -> Result<Matrix2<S>, <__D as Deserializer<'de>>::Error>where
__D: Deserializer<'de>,
fn deserialize<__D>(
__deserializer: __D
) -> Result<Matrix2<S>, <__D as Deserializer<'de>>::Error>where
__D: Deserializer<'de>,
Deserialize this value from the given Serde deserializer. Read more
§impl<S> DivAssign<S> for Matrix2<S>where
S: BaseFloat + DivAssign<S>,
impl<S> DivAssign<S> for Matrix2<S>where
S: BaseFloat + DivAssign<S>,
§fn div_assign(&mut self, scalar: S)
fn div_assign(&mut self, scalar: S)
Performs the
/=
operation. Read more§impl<F> EigenValues for Matrix2<F>where
F: BaseFloat,
impl<F> EigenValues for Matrix2<F>where
F: BaseFloat,
§type EigenValues = [Complex<F>; 2]
type EigenValues = [Complex<F>; 2]
the type of the array of eigen values
§fn eigenvalues(self) -> [Complex<F>; 2]
fn eigenvalues(self) -> [Complex<F>; 2]
calculate eigen values. Read more
§impl<F> Exponential for Matrix2<F>where
F: BaseFloat,
impl<F> Exponential for Matrix2<F>where
F: BaseFloat,
§impl<S> Matrix for Matrix2<S>where
S: BaseFloat,
impl<S> Matrix for Matrix2<S>where
S: BaseFloat,
§fn swap_columns(&mut self, a: usize, b: usize)
fn swap_columns(&mut self, a: usize, b: usize)
Swap two columns of this array.
§fn as_mut_ptr(&mut self) -> *mut Self::Scalar
fn as_mut_ptr(&mut self) -> *mut Self::Scalar
Get a mutable pointer to the first element of the array.
§fn replace_col(&mut self, c: usize, src: Self::Column) -> Self::Column
fn replace_col(&mut self, c: usize, src: Self::Column) -> Self::Column
Replace a column in the array.
§impl<S> MulAssign<S> for Matrix2<S>where
S: BaseFloat + MulAssign<S>,
impl<S> MulAssign<S> for Matrix2<S>where
S: BaseFloat + MulAssign<S>,
§fn mul_assign(&mut self, scalar: S)
fn mul_assign(&mut self, scalar: S)
Performs the
*=
operation. Read more§impl<F> OperatorNorm for Matrix2<F>where
F: BaseFloat,
impl<F> OperatorNorm for Matrix2<F>where
F: BaseFloat,
§impl<S> PartialEq<Matrix2<S>> for Matrix2<S>where
S: PartialEq<S>,
impl<S> PartialEq<Matrix2<S>> for Matrix2<S>where
S: PartialEq<S>,
§impl<S> RelativeEq<Matrix2<S>> for Matrix2<S>where
S: BaseFloat,
impl<S> RelativeEq<Matrix2<S>> for Matrix2<S>where
S: BaseFloat,
§fn default_max_relative() -> <S as AbsDiffEq<S>>::Epsilon
fn default_max_relative() -> <S as AbsDiffEq<S>>::Epsilon
The default relative tolerance for testing values that are far-apart. Read more
§fn relative_eq(
&self,
other: &Matrix2<S>,
epsilon: <S as AbsDiffEq<S>>::Epsilon,
max_relative: <S as AbsDiffEq<S>>::Epsilon
) -> bool
fn relative_eq(
&self,
other: &Matrix2<S>,
epsilon: <S as AbsDiffEq<S>>::Epsilon,
max_relative: <S as AbsDiffEq<S>>::Epsilon
) -> bool
A test for equality that uses a relative comparison if the values are far apart.
§fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
The inverse of
RelativeEq::relative_eq
.§impl<S> RemAssign<S> for Matrix2<S>where
S: BaseFloat + RemAssign<S>,
impl<S> RemAssign<S> for Matrix2<S>where
S: BaseFloat + RemAssign<S>,
§fn rem_assign(&mut self, scalar: S)
fn rem_assign(&mut self, scalar: S)
Performs the
%=
operation. Read more§impl<S> Serialize for Matrix2<S>where
S: Serialize,
impl<S> Serialize for Matrix2<S>where
S: Serialize,
§fn serialize<__S>(
&self,
__serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>where
__S: Serializer,
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
§impl<S> SquareMatrix for Matrix2<S>where
S: BaseFloat,
impl<S> SquareMatrix for Matrix2<S>where
S: BaseFloat,
§fn from_value(value: S) -> Matrix2<S>
fn from_value(value: S) -> Matrix2<S>
Create a new diagonal matrix using the supplied value.
§fn from_diagonal(value: Vector2<S>) -> Matrix2<S>
fn from_diagonal(value: Vector2<S>) -> Matrix2<S>
Create a matrix from a non-uniform scale
§fn transpose_self(&mut self)
fn transpose_self(&mut self)
Transpose this matrix in-place.
§fn determinant(&self) -> S
fn determinant(&self) -> S
Take the determinant of this matrix.
§fn invert(&self) -> Option<Matrix2<S>>
fn invert(&self) -> Option<Matrix2<S>>
Invert this matrix, returning a new matrix.
m.mul_m(m.invert())
is
the identity matrix. Returns None
if this matrix is not invertible
(has a determinant of zero).§fn is_diagonal(&self) -> bool
fn is_diagonal(&self) -> bool
Test if this is a diagonal matrix. That is, every element outside of
the diagonal is 0.
§fn is_symmetric(&self) -> bool
fn is_symmetric(&self) -> bool
Test if this matrix is symmetric. That is, it is equal to its
transpose.
§fn identity() -> Self
fn identity() -> Self
The identity matrix. Multiplying this matrix with another should have
no effect. Read more
§fn is_identity(&self) -> boolwhere
Self: UlpsEq<Self>,
fn is_identity(&self) -> boolwhere
Self: UlpsEq<Self>,
Test if this matrix is the identity matrix. That is, it is diagonal
and every element in the diagonal is one.
§impl<S> SubAssign<Matrix2<S>> for Matrix2<S>where
S: BaseFloat + SubAssign<S>,
impl<S> SubAssign<Matrix2<S>> for Matrix2<S>where
S: BaseFloat + SubAssign<S>,
§fn sub_assign(&mut self, other: Matrix2<S>)
fn sub_assign(&mut self, other: Matrix2<S>)
Performs the
-=
operation. Read more