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TypedResidual

Struct TypedResidual 

pub struct TypedResidual<I> { /* private fields */ }
Description

A fully inferred residual DAG.

Node types can only be produced by Self::infer, so operator lowerings can consume this value without trusting shape information supplied by their caller.

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impl<I> TypedResidual<I>

pub fn verify_uniform_ale_transport( &self, map: ExprId, stored: ExprId, flux: ExprId, field: Id<Field>, ) -> Result<[ExprId; 2], TimeDerivativeProofError>

Prove the advective projection c*u*lambda*(v-d(chi)/dt) of a planar Law.

stored must equal c*u*J for the supplied volume map, and c may contain only constants and Parameters. The map must be a polynomial uniform scaling plus translation, with axes selected by coordinate identity. Every advective axis must keep an explicit v - mesh_rate subtraction whose rate equals the derivative of that map row. Returns the real scalar material-velocity expressions (m/s) in physical axis order. A subtraction whose operands have different dimensions is rejected even if the normalized numbers match.

Only the advective projection is checked; gradients of field are not. The caller must separately admit the diffusive flux, types, supports, positive map, and prescribed scalar velocity expressions. Other vector forms and nonlinear coordinate maps are rejected. Limits and exact arithmetic are shared with ExprDag::verify_time_derivative; the correspondence is proved symbolically, not by sampling or executable differentiation.

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impl<I> TypedResidual<I>
where I: Clone + Eq,

pub fn validate_trace_regularity( &self, symbol_regularity: impl FnMut(SymbolRef) -> SpatialRegularity, ) -> Result<(), Vec<TypedResidualError<I, Infallible>>>

Check from the authored regularity of each symbol whether a boundary trace exists.

Sums and smooth scalar multipliers preserve regularity. Full traces of H1, normal traces of H(div), and tangential traces of H(curl) are allowed; traces of derivatives require smooth operands. No numerical basis, shared interface value, or general product of distributions is inferred.

A tangential trace is written as the skew lift followed by normal contraction. The check recognizes that closed calculus definition by content, not by name, so other component maps cannot gain this trace theorem.

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impl<I> TypedResidual<I>

pub const fn expression(&self) -> &ExprDag

Structurally validated expression DAG.

pub const fn node_types(&self) -> &[ExpressionType<I>]

Inferred type of every DAG node, in arena order.

pub fn node_type(&self, id: ExprId) -> Option<&ExpressionType<I>>

Inferred type of one DAG node.

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impl<I> TypedResidual<I>
where I: Clone + Eq,

pub fn infer<E>( expression: ExprDag, relation_support: Option<SpatialSupport<I>>, boundary_support: impl FnMut(Id<Domain>) -> Option<SpatialSupport<I>>, root_contract: RootContract, symbol_type: impl FnMut(SymbolRef) -> Result<ExpressionType<I>, E>, ) -> Result<TypedResidual<I>, Vec<TypedResidualError<I, E>>>

Infer types for a whole DAG using a semantic symbol resolver.

Independent errors are collected in arena and root order. A node whose operands failed does not report a further error. A value is returned only when every node and root satisfies the selected contract.

Trait Implementations§

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impl<I> Clone for TypedResidual<I>
where I: Clone,

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fn clone(&self) -> TypedResidual<I>

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

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

Performs copy-assignment from source. Read more
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impl<I> Debug for TypedResidual<I>
where I: Debug,

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

Formats the value using the given formatter. Read more
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impl<I> PartialEq for TypedResidual<I>
where I: PartialEq,

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fn eq(&self, other: &TypedResidual<I>) -> bool

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<I> StructuralPartialEq for TypedResidual<I>

Auto Trait Implementations§

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impl<I> Freeze for TypedResidual<I>

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impl<I> RefUnwindSafe for TypedResidual<I>
where I: RefUnwindSafe,

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impl<I> Send for TypedResidual<I>
where I: Send,

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impl<I> Sync for TypedResidual<I>
where I: Sync,

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impl<I> Unpin for TypedResidual<I>

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impl<I> UnsafeUnpin for TypedResidual<I>

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impl<I> UnwindSafe for TypedResidual<I>
where I: UnwindSafe,

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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<Src, Scheme> ApproxFrom<Src, Scheme> for Src
where Scheme: ApproxScheme,

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type Err = NoError

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>

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

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

Convert the subject into an approximately equivalent representation.
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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> ByRef<T> for T

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fn by_ref(&self) -> &T

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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, Dst> ConvAsUtil<Dst> for T

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fn approx(self) -> Result<Dst, Self::Err>
where Self: Sized + ApproxInto<Dst>,

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

Approximate the subject with a specific scheme.
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impl<T> ConvUtil for T

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fn approx_as<Dst>(self) -> Result<Dst, Self::Err>
where Self: Sized + ApproxInto<Dst>,

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,

Approximate the subject to a given type with a specific scheme.
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fn into_as<Dst>(self) -> Dst
where Self: Sized + Into<Dst>,

Convert the subject to a given type.
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fn try_as<Dst>(self) -> Result<Dst, Self::Err>
where Self: Sized + TryInto<Dst>,

Attempt to convert the subject to a given type.
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fn value_as<Dst>(self) -> Result<Dst, Self::Err>
where Self: Sized + ValueInto<Dst>,

Attempt a value conversion of the subject to a given type.
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impl<T> DistributionExt for T
where T: ?Sized,

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fn rand<T>(&self, rng: &mut (impl Rng + ?Sized)) -> T
where Self: Distribution<T>,

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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> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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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> 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> Same for T

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type Output = T

Should always be Self
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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<Src> TryFrom<Src> for Src

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type Err = NoError

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

Convert the given value into the subject type.
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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<Src, Dst> TryInto<Dst> for Src
where Dst: TryFrom<Src>,

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type Err = <Dst as TryFrom<Src>>::Err

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

Convert the subject into the destination type.
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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<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<Src> ValueFrom<Src> for Src

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type Err = NoError

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

Convert the given value into an exactly equivalent representation.
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impl<Src, Dst> ValueInto<Dst> for Src
where Dst: ValueFrom<Src>,

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type Err = <Dst as ValueFrom<Src>>::Err

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

Convert the subject into an exactly equivalent representation.
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impl<T> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a [WithDispatch] wrapper. Read more
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impl<ST, DT> CastableFrom<ST, Initialized, Initialized> for DT
where ST: ?Sized, DT: ?Sized,

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impl<ST, DT> CastableFrom<ST, Uninit, Uninit> for DT
where ST: ?Sized, DT: ?Sized,

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impl<T, U> Imply<T> for U
where T: ?Sized, U: ?Sized,

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impl<T> Read<Exclusive, BecauseExclusive> for T
where T: ?Sized,

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impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,