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Replace @import_rrule bridging approach with native augmented_primal + reverse
implementations for better performance and decoupled dependencies.
Changes:
- Move backward pass logic to main package (src/solve/):
- backward_cache.jl: StencilForwardCache, WeightsBuildForwardCache types
- backward.jl: backward_linear_solve!, backward_collocation!, etc.
- forward_cache.jl: _forward_with_cache function
- operator_second_derivatives.jl: grad_applied_*_wrt_{x,xi} functions
- Rewrite Enzyme extension with native EnzymeRules:
- Basis functions (PHS1-7, IMQ, Gaussian)
- Operator evaluation (_eval_op, op(x))
- Interpolator (single and batch)
- _build_weights (Partial, Laplacian)
- Performance optimizations in backward.jl:
- Replace O(n²) scalar outer product loop with BLAS mul!
- Hoist functor construction outside loops
- Eliminate broadcast allocations with direct indexing
- Cache array references to reduce indirection
- Update Project.toml: Enzyme extension now only requires Enzyme + EnzymeCore
- Add native _build_weights tests to enzyme_ext.jl
Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
…d pass Extends Enzyme extension with derivatives w.r.t. shape parameter ε for IMQ and Gaussian basis functions. Refactors backward pass to use unified macro-generated rules, reducing code duplication for different operators. - Add shape_parameter_derivatives.jl with ∂φ/∂ε, ∂(∇²φ)/∂ε, ∂(∂φ/∂x)/∂ε - Add backward_stencil_*_with_ε! functions for full gradient computation - Extend operator_second_derivatives.jl with IMQ and Gaussian support - Add comprehensive tests for all basis types (PHS, IMQ, Gaussian) - Update ChainRulesCore and Mooncake extensions for consistency Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
The backward_rhs_partial! function was missing the polynomial section gradient. For Laplacian, ∇² of polynomials gives constants, so the gradient w.r.t. eval_point is zero. But for Partial, ∂/∂x of polynomials has non-constant terms (e.g., ∂(x²)/∂x = 2x), requiring second mixed derivatives in the backward pass. Also replaces macro-generated Enzyme rules with explicit function definitions for Julia 1.11 compatibility (fixes whitespace parsing issues in quoted expressions). Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
Replace native Enzyme tests with unified DI-based tests supporting both Enzyme and Mooncake backends. Enzyme tests skip on Julia 1.12+ due to known compatibility issues. Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
Add full reverse-mode AD support for Interpolator: - rrule for construction (differentiates through A \ b via adjoint solve) - Enhanced evaluation rules returning weight gradients - Batch evaluation support Add comprehensive autodiff documentation page with examples for operators, interpolators, basis functions, and weight construction. Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
Codecov Report❌ Patch coverage is
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- Relax Gaussian basis gradient test tolerance (1e-2 → 5e-2) for cross-platform stability - Update benchmark compat to 0.3 matching current package version - Skip weak deps (Enzyme, Mooncake, ChainRulesCore, etc.) in downgrade CI - Switch autodiff doc examples to Mooncake backend for Julia 1.12 compatibility Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
Contributor
Benchmark Results
Benchmark PlotsA plot of the benchmark results have been uploaded as an artifact to the workflow run for this PR. |
- Add Const xi overloads for basis rules (closure-captured args) - Support both Active and Duplicated return types in operator rules - Replace .+= with immutable accumulation pattern for SVector shadows - Use pre-computed weights directly instead of calling update_weights! - Switch test backend to Enzyme.Const annotation - Skip Enzyme Interpolator constructor tests (factorize Union types) - Fix Mooncake UUID in docs/Project.toml
Enzyme.jl has known issues on Julia 1.12+, so use Mooncake as the primary backend in all doc examples for cross-version reliability.
Add tests for dimension-specific polynomial backward passes (1D, 3D, dim=2 in 2D) and direct unit tests for non-ε backward stencil functions that are only called from the Enzyme extension (skipped on Julia 1.12+).
Use per-file MersenneTwister seeds across all test files to eliminate non-reproducible test behavior from unseeded RNG usage.
Exercise all grad_laplacian_phs{1,3,5,7} dispatch paths and add 3D
Partial(1,2) and Partial(1,3) operator tests.
DocumenterVitepress v0.3.0 replaced markdown-it-mathjax3 with a custom mathjax-plugin.ts that provides a Vite virtual module for MathJax styles. Without the plugin, the build fails on `virtual:mathjax-styles.css` import. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
Prevents future breakage from upstream doc dependency major releases. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
kylebeggs
added a commit
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Feb 15, 2026
Keep our branch's native Enzyme/Mooncake rules, delete CRC extension files and tests from main's enzyme PR (#76). Retain DI tests and docs additions from main.
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Summary
EnzymeRules(forward and reverse) for basis functions, operators, interpolators, and_build_weightssrc/solve/backward.jl) for efficient gradient computationChainRulesCorerrule forInterpolatorconstruction (enables Mooncake.jl autodiff through construction)DifferentiationInterface.jlfor unified testing across backendsDetails
Enzyme Support
Native
EnzymeRulesare implemented for all core operations, avoiding the need for Enzyme to trace through complex RBF weight computation. Forward and reverse rules are provided for:PHS,IMQ,Gaussian)RadialBasisOperatorapplicationInterpolatorevaluation_build_weights(the core weight computation kernel)Shape Parameter Derivatives
Second derivative operators (
∂²,∇²,H) are implemented forIMQandGaussianbasis functions in dedicated files, enabling differentiation of_build_weightswith respect to shape parameters.Interpolator Construction Rule
A
ChainRulesCore.rruleis added forInterpolatorconstruction, working around thefactorizeUnion return type that blocks Enzyme. This rule is usable via Mooncake.jl through DifferentiationInterface.Testing
All autodiff tests use
DifferentiationInterface.jlwith both Enzyme and Mooncake backends, testing:Test plan
Closes #71
Closes #74
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