Struct Matrix2d

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pub struct Matrix2d<T: CoordinateType> { /* private fields */ }
Expand description

A 2x2 matrix of the form:

[[ m11, m12 ],
 [ m21, m22 ]]

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impl<T> Matrix2d<T>
where T: CoordinateType,

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pub fn new(m11: T, m12: T, m21: T, m22: T) -> Self

Create a new 2x2 matrix with entries of the form:

[[ m11, m12 ],
 [ m21, m22 ]]
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pub fn identity() -> Self

Return the identity matrix.

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

Compute product of the matrix with a scalar.

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pub fn mul_column_vector(&self, rhs: Vector<T>) -> Vector<T>

Compute matrix-column-vector multiplication. The vector is interpreted as column vector.

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

Matrix-matrix multiplication.

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pub fn transpose(&self) -> Self

Compute the transpose of the matrix.

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pub fn determinant(&self) -> T

Compute the determinant of this matrix.

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pub fn is_identity(&self) -> bool

Test if this matrix is the identity matrix.

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pub fn is_unitary(&self) -> bool

Test if this matrix is unitary.

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

Compute the inverse matrix. None will be returned if the determinant is zero and the matrix is not invertible.

Trait Implementations§

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impl<T: Clone + CoordinateType> Clone for Matrix2d<T>

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fn clone(&self) -> Matrix2d<T>

Returns a duplicate 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<T: Debug + CoordinateType> Debug for Matrix2d<T>

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

Formats the value using the given formatter. Read more
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impl<T: CoordinateType> Default for Matrix2d<T>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<T: Hash + CoordinateType> Hash for Matrix2d<T>

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<T: PartialEq + CoordinateType> PartialEq for Matrix2d<T>

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fn eq(&self, other: &Matrix2d<T>) -> bool

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T: Eq + CoordinateType> Eq for Matrix2d<T>

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impl<T: CoordinateType> StructuralPartialEq for Matrix2d<T>

Auto Trait Implementations§

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impl<T> Freeze for Matrix2d<T>
where T: Freeze,

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impl<T> RefUnwindSafe for Matrix2d<T>
where T: RefUnwindSafe,

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impl<T> Send for Matrix2d<T>
where T: Send,

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impl<T> Sync for Matrix2d<T>
where T: Sync,

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impl<T> Unpin for Matrix2d<T>
where T: Unpin,

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impl<T> UnwindSafe for Matrix2d<T>
where T: UnwindSafe,

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> 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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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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<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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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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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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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

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

Performs the conversion.
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impl<T, U> TryInto<U> for T
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> TextType for T
where T: Eq + Hash + Clone + Debug,