Struct iron_shapes::matrix2d::Matrix2d

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

Expand description

A 2x2 matrix of the form:

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

Implementations

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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 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<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,

Feeds a slice of this type into the given Hasher. Read more

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

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

This method tests for self and other values to be equal, and is used by ==. Read more

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

This method tests for !=.

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

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

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

Auto Trait Implementations

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

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

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

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

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,

const: unstable · source

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,

const: unstable · source

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

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for T where
U: From<T>,

const: unstable · source

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> ToOwned for T where
T: Clone,

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 for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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Struct iron_shapes::matrix2d::Matrix2d

Implementations

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

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

pub fn identity() -> Self

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

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

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

pub fn transpose(&self) -> Self

pub fn determinant(&self) -> T

pub fn is_identity(&self) -> bool

pub fn is_unitary(&self) -> bool

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

Trait Implementations

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

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

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

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

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

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

fn default() -> Self

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

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

fn hash_slice<H>(data: &[Self], state: &mut H) where H: Hasher,

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

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

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

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

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

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

Auto Trait Implementations

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

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

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

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

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

Blanket Implementations

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

fn type_id(&self) -> TypeId

impl<T> Borrow<T> for T where T: ?Sized,

fn borrow(&self) -> &T

impl<T> BorrowMut<T> for T where T: ?Sized,

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

impl<T> From<T> for T

fn from(t: T) -> T

impl<T, U> Into<U> for T where U: From<T>,

fn into(self) -> U

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

type Owned = T

fn to_owned(&self) -> T

fn clone_into(&self, target: &mut T)

impl<T, U> TryFrom<U> for T where U: Into<T>,

type Error = Infallible

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

impl<T, U> TryInto<U> for T where U: TryFrom<T>,

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

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

impl<T> TextType for T where T: Eq + Hash + Clone + Debug,

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

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

fn hash_slice<H>(data: &[Self], state: &mut H) where
H: Hasher,

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

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

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

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

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

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

impl<T> Borrow<T> for T where
T: ?Sized,

impl<T> BorrowMut<T> for T where
T: ?Sized,

impl<T, U> Into<U> for T where
U: From<T>,

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

impl<T, U> TryFrom<U> for T where
U: Into<T>,

impl<T, U> TryInto<U> for T where
U: TryFrom<T>,

impl<T> TextType for T where
T: Eq + Hash + Clone + Debug,