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FiniteBasis

eqiora

Struct FiniteBasis 

pub struct FiniteBasis { /* private fields */ }
Description

A declared component basis or its coordinate dual. Its extent is checked against the FiniteSpace during semantic validation.

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impl FiniteBasis

Signature links:§FiniteBasis

pub fn new( space: Id<FiniteSpace>, extent: u32, ) -> Result<FiniteBasis, InvalidValueType>

Signature links:newIdFiniteSpaceu32ResultFiniteBasisInvalidValueType

Refer to the primal ordered basis of one nonempty declaration.

pub const fn space(self) -> Option<Id<FiniteSpace>>

Signature links:spaceOptionIdFiniteSpace

Declaration of an atomic basis. A product has none; it is defined by its ordered factors.

pub fn product( left: FiniteBasis, right: FiniteBasis, ) -> Result<FiniteBasis, InvalidValueType>

Signature links:productFiniteBasisFiniteBasisResultFiniteBasisInvalidValueType

Ordered tensor product of two atomic bases with the same dual role. Nested products and mixed primal/dual factors are not supported.

pub const fn factors(self) -> Option<[FiniteBasis; 2]>

Signature links:factorsOptionFiniteBasis2

The ordered atomic factors of a two-factor product, excluding aliases.

pub fn atoms(self) -> impl Iterator<Item = FiniteBasis>

Signature links:atomsIteratorFiniteBasis

Atomic declarations in semantic factor order, including their dual roles.

pub fn swapped(self) -> Result<FiniteBasis, InvalidValueType>

Signature links:swappedResultFiniteBasisInvalidValueType

Reverse the two factors explicitly; an atomic basis has no factor permutation.

pub const fn extent(self) -> u32

Signature links:extentu32

Declared number of basis elements.

pub const fn is_dual(self) -> bool

Signature links:is_dualbool

Whether coordinates refer to the algebraic dual basis.

pub const fn dual(self) -> FiniteBasis

Signature links:dualFiniteBasis

Dualize the basis identity without conjugating any value or applying a metric.

Trait Implementations§

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impl Clone for FiniteBasis

Signature links:§CloneFiniteBasis
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fn clone(&self) -> FiniteBasis

Signature links:§cloneFiniteBasis
Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§clone_from
Performs copy-assignment from source. Read more
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impl Debug for FiniteBasis

Signature links:§DebugFiniteBasis
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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Signature links:§fmtFormatterResult()Error
Formats the value using the given formatter. Read more
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impl Hash for FiniteBasis

Signature links:§HashFiniteBasis
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fn hash<__H>(&self, state: &mut __H)
where __H: Hasher,

Signature links:§hash&mut __HHasher
Feeds this value into the given Hasher. Read more
1.3.0 · Source§

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

Signature links:Source§hash_slice&mut HHasherSized
Feeds a slice of this type into the given Hasher. Read more
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impl PartialEq for FiniteBasis

Signature links:§PartialEqFiniteBasis
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fn eq(&self, other: &FiniteBasis) -> bool

Signature links:§eqFiniteBasisbool
Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Signature links:unstableSource§ne&Rhsbool
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 FiniteBasis

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impl Eq for FiniteBasis

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impl StructuralPartialEq for FiniteBasis

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impl<T> Any for T
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Signature links:Source§type_idTypeId
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impl<Src, Scheme> ApproxFrom<Src, Scheme> for Src
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type Err = NoError

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The error type produced by a failed conversion.
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fn approx_from(src: Src) -> Result<Src, <Src as ApproxFrom<Src, Scheme>>::Err>

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Convert the given value into an approximately equivalent representation.
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The error type produced by a failed conversion.
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Convert the subject into an approximately equivalent representation.
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🔬This is a nightly-only experimental API. (clone_to_uninit)
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Approximate the subject with the default scheme.
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