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ExactPolynomial

eqiora::kernel::pure_operator

Struct ExactPolynomial 

pub struct ExactPolynomial<A> { /* private fields */ }
Description

Canonical commutative polynomial over ordered semantic atoms, with exact coefficients.

Zero coefficients are omitted; each monomial keeps its repeated atoms sorted. This type classifies mathematical expressions. It never permits floating-point reassociation and does not build executable derivatives.

Implementations§

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impl<A> ExactPolynomial<A>
where A: Clone + Ord,

Signature links:§ExactPolynomialCloneOrd

pub fn constant(value: ExactRational) -> ExactPolynomial<A>

Signature links:constantExactRationalExactPolynomial

A constant polynomial; zero is the empty polynomial.

pub fn atom(atom: A) -> ExactPolynomial<A>

Signature links:atomExactPolynomial

One semantic indeterminate.

pub fn terms(&self) -> impl ExactSizeIterator

Signature links:termsExactSizeIterator

Canonical monomials in lexicographic atom order.

pub fn checked_neg(&self) -> Result<ExactPolynomial<A>, ExactPolynomialError>

Signature links:checked_negResultExactPolynomialExactPolynomialError

Coefficient negation.

pub fn checked_add( &self, other: &ExactPolynomial<A>, ) -> Result<ExactPolynomial<A>, ExactPolynomialError>

Signature links:checked_addExactPolynomialResultExactPolynomialExactPolynomialError

Sum, collecting like monomials.

pub fn checked_mul( &self, other: &ExactPolynomial<A>, ) -> Result<ExactPolynomial<A>, ExactPolynomialError>

Signature links:checked_mulExactPolynomialResultExactPolynomialExactPolynomialError

Distributive product. The work limit is checked before allocating the product terms.

pub fn substitute<E>( definition: &PureOperatorDefinition, arguments: &[&ExactPolynomial<A>], charge: impl FnMut(&ExactPolynomial<A>) -> Result<(), E>, ) -> Result<Option<ExactPolynomial<A>>, E>
where E: From<ExactPolynomialError>,

Signature links:substitutePureOperatorDefinitionExactPolynomialFnMutExactPolynomialResult()ResultOptionExactPolynomialFromExactPolynomialError

Substitute polynomials into a scalar polynomial operator definition. Returns None for a definition outside this classification profile. This does not reassociate executable arithmetic or differentiate anything. The caller charges each intermediate result against its cumulative budget.

§Errors

Returns exact arithmetic failures or the caller’s budget failure.

Trait Implementations§

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impl<A> Clone for ExactPolynomial<A>
where A: Clone,

Signature links:§CloneExactPolynomialClone
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fn clone(&self) -> ExactPolynomial<A>

Signature links:§cloneExactPolynomial
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<A> Debug for ExactPolynomial<A>
where A: Debug,

Signature links:§DebugExactPolynomialDebug
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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<A> PartialEq for ExactPolynomial<A>
where A: PartialEq,

Signature links:§PartialEqExactPolynomialPartialEq
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fn eq(&self, other: &ExactPolynomial<A>) -> bool

Signature links:§eqExactPolynomialbool
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<A> Eq for ExactPolynomial<A>
where A: Eq,

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impl<A> StructuralPartialEq for ExactPolynomial<A>

Auto Trait Implementations§

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impl<A> Freeze for ExactPolynomial<A>

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impl<A> RefUnwindSafe for ExactPolynomial<A>
where A: RefUnwindSafe,

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impl<A> Send for ExactPolynomial<A>
where A: Send,

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impl<A> Sync for ExactPolynomial<A>
where A: Sync,

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impl<A> Unpin for ExactPolynomial<A>

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impl<A> UnsafeUnpin for ExactPolynomial<A>

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impl<A> UnwindSafe for ExactPolynomial<A>
where A: RefUnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

Signature links:Source§AnySized
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fn type_id(&self) -> TypeId

Signature links:Source§type_idTypeId
Gets the TypeId of self. Read more
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impl<Src, Scheme> ApproxFrom<Src, Scheme> for Src
where Scheme: ApproxScheme,

Signature links:§
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type Err = NoError

Signature links:§
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>

Signature links:§Result
Convert the given value into an approximately equivalent representation.
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impl<Dst, Src, Scheme> ApproxInto<Dst, Scheme> for Src
where Dst: ApproxFrom<Src, Scheme>, Scheme: ApproxScheme,

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type Err = <Dst as ApproxFrom<Src, Scheme>>::Err

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The error type produced by a failed conversion.
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fn approx_into(self) -> Result<Dst, <Src as ApproxInto<Dst, Scheme>>::Err>

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Convert the subject into an approximately equivalent representation.
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fn by_ref(&self) -> &T

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Signature links:Source§CloneToUninitClone
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unsafe fn clone_to_uninit(&self, dest: *mut u8)

Signature links:Source§clone_to_uninit*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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fn approx(self) -> Result<Dst, Self::Err>
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Approximate the subject with the default scheme.
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where Self: Sized + ApproxInto<Dst, Scheme>, Scheme: ApproxScheme,

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Approximate the subject with a specific scheme.
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where Self: Sized + ApproxInto<Dst>,

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Approximate the subject to a given type with the default scheme.
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fn approx_as_by<Dst, Scheme>(self) -> Result<Dst, Self::Err>
where Self: Sized + ApproxInto<Dst, Scheme>, Scheme: ApproxScheme,

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Approximate the subject to a given type with a specific scheme.
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Convert the subject to a given type.
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Attempt to convert the subject to a given type.
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Attempt a value conversion of the subject to a given type.
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

Signature links:§EqSizedBorrowSized
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fn equivalent(&self, key: &K) -> bool

Signature links:§&Kbool
Checks if this value is equivalent to the given key. Read more
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where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

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Compare self to key and return true if they are equal.
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fn equivalent(&self, key: &K) -> bool

Signature links:§&Kbool
Checks if this value is equivalent to the given key. Read more
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Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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Signature links:Source§into_eitherboolEither
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where F: FnOnce(&Self) -> bool,

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Signature links:§usize&'a mut T
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Convert the given value into the subject type.
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The error type produced by a failed conversion.
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Convert the given value into an exactly equivalent representation.
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Convert the subject into an exactly equivalent representation.
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