Svd3

Struct Svd3 

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pub struct Svd3 {
    pub u: Mat3,
    pub s: Vec3,
    pub vt: Mat3,
}
Expand description

The SVD of a 3x3 matrix (f32 precision).

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§u: Mat3

The left orthogonal matrix U.

§s: Vec3

The singular values (diagonal entries of S), sorted in descending order.

§vt: Mat3

The transposed right orthogonal matrix V^T.

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impl Svd3

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pub fn new(u: Mat3, s: Vec3, vt: Mat3) -> Self

Creates a new SVD from components.

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pub fn from_matrix(a: Mat3) -> Self

Computes the SVD of a 3x3 matrix.

Returns the decomposition M = U * S * V^T where:

  • U is an orthogonal matrix (left singular vectors as columns)
  • S is a diagonal matrix (stored as a vector of singular values)
  • V^T is the transpose of an orthogonal matrix

The singular values are sorted in descending order (s.x >= s.y >= s.z).

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pub fn recompose(&self) -> Mat3

Rebuilds the matrix this SVD is the decomposition of.

Returns U * S * V^T.

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impl Clone for Svd3

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fn clone(&self) -> Svd3

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 Svd3

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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<DSvd3> for Svd3

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fn from(svd: DSvd3) -> Self

Converts to this type from the input type.
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impl From<Svd3> for DSvd3

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fn from(svd: Svd3) -> Self

Converts to this type from the input type.
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impl From<Svd3> for Svd3A

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fn from(svd: Svd3) -> Self

Converts to this type from the input type.
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impl From<Svd3A> for Svd3

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fn from(svd: Svd3A) -> Self

Converts to this type from the input type.
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impl PartialEq for Svd3

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fn eq(&self, other: &Svd3) -> 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 Svd3

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impl StructuralPartialEq for Svd3

Auto Trait Implementations§

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impl Freeze for Svd3

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impl RefUnwindSafe for Svd3

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impl Send for Svd3

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impl Sync for Svd3

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impl Unpin for Svd3

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impl UnwindSafe for Svd3

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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<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.