DSymmetricEigen2

Struct DSymmetricEigen2 

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pub struct DSymmetricEigen2 {
    pub eigenvalues: DVec2,
    pub eigenvectors: DMat2,
}
Expand description

The eigen decomposition of a symmetric 2x2 matrix (f64 precision).

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§eigenvalues: DVec2

The eigenvalues of the symmetric 2x2 matrix.

§eigenvectors: DMat2

The two eigenvectors of the symmetric 2x2 matrix (as columns).

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impl DSymmetricEigen2

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pub fn new(mat: DMat2) -> Self

Computes the eigen decomposition of the given symmetric 2x2 matrix.

The eigenvalues are returned in descending order eigen1 > eigen2. This can be reversed with the reverse method.

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pub fn reverse(&self) -> Self

Reverses the order of the eigenvalues and their corresponding eigenvectors.

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pub fn eigenvalues(mat: DMat2) -> DVec2

Computes the eigenvalues of a symmetric 2x2 matrix.

Reference: https://croninprojects.org/Vince/Geodesy/FindingEigenvectors.pdf

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pub fn eigenvector(mat: DMat2, eigenvalue: f64) -> DVec2

Computes the unit-length eigenvector corresponding to the given eigenvalue of the symmetric 2x2 mat.

Reference: https://croninprojects.org/Vince/Geodesy/FindingEigenvectors.pdf

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impl Clone for DSymmetricEigen2

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fn clone(&self) -> DSymmetricEigen2

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 Debug for DSymmetricEigen2

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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 From<DSymmetricEigen2> for SymmetricEigen2

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fn from(e: DSymmetricEigen2) -> Self

Converts to this type from the input type.
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impl From<SymmetricEigen2> for DSymmetricEigen2

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fn from(e: SymmetricEigen2) -> Self

Converts to this type from the input type.
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impl PartialEq for DSymmetricEigen2

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fn eq(&self, other: &DSymmetricEigen2) -> 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 Copy for DSymmetricEigen2

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impl StructuralPartialEq for DSymmetricEigen2

Auto Trait 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, W> HasTypeWitness<W> for T
where W: MakeTypeWitness<Arg = T>, T: ?Sized,

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const WITNESS: W = W::MAKE

A constant of the type witness
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impl<T> Identity for T
where T: ?Sized,

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const TYPE_EQ: TypeEq<T, <T as Identity>::Type> = TypeEq::NEW

Proof that Self is the same type as Self::Type, provides methods for casting between Self and Self::Type.
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type Type = T

The same type as Self, used to emulate type equality bounds (T == U) with associated type equality constraints (T: Identity<Type = U>).
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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<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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.