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LinfNorm

num_valid::algorithms::vector_norms

Struct LinfNorm 

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pub struct LinfNorm<Acc = ()>(/* private fields */);
Expand description

Identifies the Chebyshev (L∞) norm, ‖v‖∞ = maxᵢ |vᵢ|.

Unlike L1Norm and L2Norm, LinfNorm does not use a summation strategy: it is a single linear scan for the maximum absolute value.

The Acc parameter is currently a marker type (default ()) and is not used by the vector implementation itself. It exists to keep the API extensible and to align type-level dispatch with norm families where a dedicated accumulator may be useful in related contexts (for example, matrix norms).

LinfNorm implements both VectorNorm and ParallelVectorNorm for any FpScalar. The parallel variant uses MaxAbsValueAccumulator with rayon fold + reduce, which is numerically exact (no rounding).

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impl<ScalarType> ParallelVectorNorm<ScalarType> for LinfNorm
where ScalarType: FpScalar,

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fn compute_vector_norm_par_iter<I>( v: I, ) -> NonNegativeRealScalar<ScalarType::RealType>
where I: IntoParallelIterator<Item = ScalarType>,

Computes the norm from an owned parallel iterator.
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fn compute_vector_norm_par(v: &[T]) -> NonNegativeRealScalar<T::RealType>

Computes the norm of a slice in parallel. Read more
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impl<ScalarType> VectorNorm<ScalarType> for LinfNorm
where ScalarType: FpScalar,

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fn compute_vector_norm_iter<I>( v: I, ) -> NonNegativeRealScalar<ScalarType::RealType>
where I: IntoIterator<Item = ScalarType>,

Computes the norm from an owned-item iterator. Read more
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fn compute_vector_norm( v: &[ScalarType], ) -> NonNegativeRealScalar<ScalarType::RealType>

Computes the norm of a slice of scalars. Read more

Auto Trait Implementations§

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impl<Acc> Freeze for LinfNorm<Acc>

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impl<Acc> RefUnwindSafe for LinfNorm<Acc>
where Acc: RefUnwindSafe,

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impl<Acc> Send for LinfNorm<Acc>
where Acc: Send,

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impl<Acc> Sync for LinfNorm<Acc>
where Acc: Sync,

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impl<Acc> Unpin for LinfNorm<Acc>
where Acc: Unpin,

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impl<Acc> UnsafeUnpin for LinfNorm<Acc>

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impl<Acc> UnwindSafe for LinfNorm<Acc>
where Acc: 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> Az for T

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fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
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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<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

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fn cast_from(src: Src) -> Dst

Casts the value.
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impl<T> CheckedAs for T

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fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
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impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

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fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
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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> OverflowingAs for T

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fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
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impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

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fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> SaturatingAs for T

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fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
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impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

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fn saturating_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> StrictAs for T

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fn strict_as<Dst>(self) -> Dst
where T: StrictCast<Dst>,

Casts the value.
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impl<Src, Dst> StrictCastFrom<Src> for Dst
where Src: StrictCast<Dst>,

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fn strict_cast_from(src: Src) -> Dst

Casts the value.
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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> UnwrappedAs for T

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fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
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impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

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fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> WrappingAs for T

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fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
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impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

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fn wrapping_cast_from(src: Src) -> Dst

Casts the value.