pub struct Matrix3d<T: CoordinateType> {
    pub m11: T,
    pub m12: T,
    pub m13: T,
    pub m21: T,
    pub m22: T,
    pub m23: T,
    pub m31: T,
    pub m32: T,
    pub m33: T,
}
Expand description

3x3 matrix of the form.

[[ m11, m12, m13 ],
 [ m21, m22, m23 ],
 [ m31, m32, m33 ]]

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§m11: T

m11

§m12: T

m12

§m13: T

m13

§m21: T

m21

§m22: T

m22

§m23: T

m23

§m31: T

m31

§m32: T

m32

§m33: T

m33

Implementations§

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impl<T> Matrix3d<T>where T: CoordinateType,

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pub fn new( [[m11, m12, m13], [m21, m22, m23], [m31, m32, m33]]: [[T; 3]; 3] ) -> Self

Create a new 3x3 matrix with entries of the form:

[[ m11, m12, m13 ],
 [ m21, m22, m23 ],
 [ m31, m32, m33 ]]
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fn new_from_flat([m11, m12, m13, m21, m22, m23, m31, m32, m33]: [T; 9]) -> Self

Create a new 3x3 matrix with entries of the form:

[[ m11, m12, m13 ],
 [ m21, m22, m23 ],
 [ m31, m32, m33 ]]
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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 add(&self, rhs: &Self) -> Self

Element-wise addition of two matrices.

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

Compute multiplication with a column vector A*rhs.

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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 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 determinant(&self) -> T

Compute the determinant of this matrix.

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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 Matrix3d<T>

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fn clone(&self) -> Matrix3d<T>

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
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impl<T: Debug + CoordinateType> Debug for Matrix3d<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 Matrix3d<T>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<'de, T> Deserialize<'de> for Matrix3d<T>where T: Deserialize<'de> + CoordinateType,

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<T: Hash + CoordinateType> Hash for Matrix3d<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<Matrix3d<T>> for Matrix3d<T>

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fn eq(&self, other: &Matrix3d<T>) -> bool

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T> Serialize for Matrix3d<T>where T: Serialize + CoordinateType,

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<T: Eq + CoordinateType> Eq for Matrix3d<T>

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impl<T: CoordinateType> StructuralEq for Matrix3d<T>

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impl<T: CoordinateType> StructuralPartialEq for Matrix3d<T>

Auto Trait Implementations§

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impl<T> RefUnwindSafe for Matrix3d<T>where T: RefUnwindSafe,

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impl<T> Send for Matrix3d<T>where T: Send,

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impl<T> Sync for Matrix3d<T>where T: Sync,

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impl<T> Unpin for Matrix3d<T>where T: Unpin,

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impl<T> UnwindSafe for Matrix3d<T>where T: UnwindSafe,

Blanket Implementations§

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impl<T> Any for Twhere 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 Twhere 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 Twhere 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<U> for Twhere 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 Twhere 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 Twhere U: Into<T>,

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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<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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

The type returned in the event of a conversion error.
const: unstable · source§

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

Performs the conversion.
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impl<T> DeserializeOwned for Twhere T: for<'de> Deserialize<'de>,

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