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GeneralImplicitProgram

eqiora::runtime

Struct GeneralImplicitProgram 

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

Canonical continuous Relation proven to require residual-native execution.

Unlike crate::FirstOrderProgram, this projection retains both y and y_dot as runtime inputs and exposes the paired residual JVP. It accepts only a structural nonconstant/nonlinear derivative-Jacobian obstruction; a valid constant first-order system must use the narrower projection.

Implementations§

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impl GeneralImplicitProgram

Signature links:§GeneralImplicitProgram

pub fn lower( program: &CpuProgram, relation: Id<Relation>, ) -> Result<GeneralImplicitProgram, Diagnostic>

Signature links:lowerCpuProgramIdRelationResultGeneralImplicitProgramDiagnostic

Lower one continuously activated Relation after proving that it cannot enter the constant first-order seam.

§Errors

Returns EQ0705 for invalid activation/symbol/shape data, a pure algebraic Relation, a malformed derivative analysis, or a Relation that is already representable by crate::FirstOrderProgram.

pub const fn relation(&self) -> Id<Relation>

Signature links:relationIdRelation

Canonical Relation represented by this projection.

pub fn state_fields(&self) -> &[Id<Field>]

Signature links:state_fieldsIdField

Deterministic state coordinate order.

pub fn initial_state(&self) -> &[f64]

Signature links:initial_statef64

Revision-captured state guess.

pub fn initial_derivative(&self) -> &[f64]

Signature links:initial_derivativef64

Initial derivative guess in state order.

pub fn parameter_fields(&self) -> &[Id<Parameter>]

Signature links:parameter_fieldsIdParameter

Deterministic first-occurrence Parameter order.

pub fn parameters(&self) -> &[f64]

Signature links:parametersf64

Revision-captured Parameter point.

pub const fn lowering_proof(&self) -> &GeneralImplicitLoweringProof

Signature links:lowering_proofGeneralImplicitLoweringProof

Structural witness behind residual-native admission.

pub fn implicit_problem(&self) -> Result<ImplicitDaeProblem<'_>, Diagnostic>

Signature links:implicit_problemResultImplicitDaeProblemDiagnostic

Construct the residual-native problem and its consistency policy.

§Errors

Retains ImplicitDaeProblem validation diagnostics if its invariants change.

pub fn linearize_implicit_euler_step( &self, previous_time: f64, next_time: f64, previous_state: &[f64], next_state: &[f64], ) -> Result<ImplicitEulerStepLinearization<'_>, Diagnostic>

Signature links:linearize_implicit_euler_stepf64f64f64f64ResultImplicitEulerStepLinearizationDiagnostic

Linearize one accepted implicit-Euler step as a discrete residual.

The returned relation has next_state as its unknown vector. Its parameter vector is the explicit direct sum

[previous_state, canonical model Parameters]

while model time and step size remain frozen realization data. The step residual is

G(y_next; y_previous, p)
  = F(next_time, y_next, (y_next - y_previous) / step, p).
§Errors

Returns EQ0705 for invalid time/step/state data and retains Operator IR linearization diagnostics for an invalid point.

Trait Implementations§

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impl Clone for GeneralImplicitProgram

Signature links:§CloneGeneralImplicitProgram
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fn clone(&self) -> GeneralImplicitProgram

Signature links:§cloneGeneralImplicitProgram
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 GeneralImplicitProgram

Signature links:§DebugGeneralImplicitProgram
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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 ImplicitTimeSystem for GeneralImplicitProgram

Signature links:§ImplicitTimeSystemGeneralImplicitProgram
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fn dimension(&self) -> usize

Signature links:§dimensionusize
Number of state coordinates and residual equations.
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fn residual( &self, time: f64, state: &[f64], derivative: &[f64], output: &mut [f64], ) -> Result<(), Diagnostic>

Signature links:§residualf64f64f64f64Result()Diagnostic
Evaluate the complete implicit residual. Read more
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fn residual_jvp( &self, time: f64, state: &[f64], derivative: &[f64], state_direction: &[f64], derivative_direction: &[f64], output: &mut [f64], ) -> Result<(), Diagnostic>

Signature links:§residual_jvpf64f64f64f64f64f64Result()Diagnostic
Evaluate F_y state_direction + F_y_dot derivative_direction. Read more
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impl PartialEq for GeneralImplicitProgram

Signature links:§PartialEqGeneralImplicitProgram
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fn eq(&self, other: &GeneralImplicitProgram) -> bool

Signature links:§eqGeneralImplicitProgrambool
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 StructuralPartialEq for GeneralImplicitProgram

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