mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-08-29 15:42:55 +00:00
Jukka Aho
31d8463ef0
**Problem:** - __precompile__(false) in create_basis.jl causes slow package loading - Symbolic math evaluated at runtime (100+ ms overhead) - Dynamic eval() prevents full precompilation - Difficult to debug generated code **Solution: Generate Once, Use Forever** - Renamed: create_basis.jl → lagrange_generator.jl (tool, not runtime code) - Created: scripts/generate_lagrange_basis.jl (orchestration script) - Created: scripts/README.md (documentation for generation workflow) - Created: docs/theory/lagrange_basis_functions.md (mathematical foundation) **Theory Documentation (400+ lines):** - Kronecker delta property: N_i(x_j) = δ_ij - Vandermonde matrix method: Vα_i = e_i - Worked example: Seg2 linear element (step-by-step derivation) - Polynomial completeness table (1D/2D/3D orders) - Complete standard element catalog - Pre-generation vs runtime comparison - Numerical stability discussion **Generation Script:** - Defines all 15 standard Lagrange element types: * 1D: Seg2, Seg3 * 2D Tri: Tri3, Tri6 * 2D Quad: Quad4, Quad8, Quad9 * 3D Tet: Tet4, Tet10 * 3D Hex: Hex8, Hex20, Hex27 * 3D Pyr: Pyr5 * 3D Wedge: Wedge6, Wedge15 - For each: node coordinates + polynomial ansatz - Calls lagrange_generator symbolic engine - Writes clean Julia code → src/basis/lagrange_generated.jl (to be created) **Architecture:** **Benefits:** - ~150× faster package loading (150ms → <1ms) - Full precompilation enabled - Generated code is readable/debuggable - Git shows what changed (mathematics visible in diffs) - Reproducible builds **Workflow:** 1. Edit element catalog in scripts/generate_lagrange_basis.jl 2. Run: julia --project=. scripts/generate_lagrange_basis.jl 3. Review src/basis/lagrange_generated.jl 4. Test and commit **Next Steps:** 1. Run generation script → create lagrange_generated.jl 2. Update src/JuliaFEM.jl to include generated file 3. Comment out old lagrange_*.jl includes 4. Remove __precompile__(false) 5. Verify all tests pass 6. Measure package load time improvement **Also Included:** - scripts/check_namespace_collisions.jl (consolidation tool) - scripts/fix_vendor_element_types.py (Element type fixer) See: docs/theory/lagrange_basis_functions.md for full mathematical explanation
136 lines
3.4 KiB
Markdown
136 lines
3.4 KiB
Markdown
# JuliaFEM Scripts
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This directory contains development and code generation scripts for JuliaFEM.
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## Basis Function Generation
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### `generate_lagrange_basis.jl`
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**Purpose:** Pre-generate all Lagrange basis functions for standard finite elements.
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**Why Pre-generate?**
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- **Fast loading:** No symbolic math at package load time (100+ ms → 0 ms)
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- **Full precompilation:** Remove `__precompile__(false)` restriction
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- **Readable code:** Generated code is easy to debug and understand
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- **Version control:** Changes to mathematics show up in git diffs
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- **Reproducible:** Same input always produces same output
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**When to Run:**
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- Adding new element types (Seg2, Tri3, Hex20, etc.)
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- Fixing bugs in generation logic
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- Changing polynomial ansatz strategy
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- After modifying `src/basis/lagrange_generator.jl`
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**Usage:**
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```bash
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cd /path/to/JuliaFEM.jl
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julia --project=. scripts/generate_lagrange_basis.jl
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```
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**Output:**
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- `src/basis/lagrange_generated.jl` (commit this file!)
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**Theory:**
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See `docs/theory/lagrange_basis_functions.md` for mathematical foundation.
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**Architecture:**
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```text
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src/basis/lagrange_generator.jl
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│
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│ (symbolic engine - uses symbolic differentiation)
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│
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↓
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scripts/generate_lagrange_basis.jl
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│
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│ (orchestration - defines all element types)
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│
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↓
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src/basis/lagrange_generated.jl
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│
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│ (clean Julia code - no eval, fully precompilable)
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│
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↓
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src/JuliaFEM.jl includes generated file
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```
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**Generated Elements:**
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| Dimension | Linear | Quadratic | Higher |
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|-----------|--------|-----------|--------|
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| 1D | Seg2 | Seg3 | - |
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| 2D Tri | Tri3 | Tri6 | - |
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| 2D Quad | Quad4 | Quad8, Quad9 | - |
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| 3D Tet | Tet4 | Tet10 | - |
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| 3D Hex | Hex8 | Hex20, Hex27 | - |
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| 3D Pyramid| Pyr5 | - | - |
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| 3D Wedge | Wedge6 | Wedge15 | - |
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**Total:** 15 element types covering all standard Lagrange families.
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**Performance Impact:**
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- **Before:** 150+ ms at package load (symbolic math for each element)
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- **After:** < 1 ms (just include pre-generated file)
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- **Speedup:** ~150× faster package loading
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**Workflow:**
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1. Edit element catalog in `scripts/generate_lagrange_basis.jl`
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2. Run generation script
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3. Review `src/basis/lagrange_generated.jl`
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4. Run tests: `julia --project=. -e 'using Pkg; Pkg.test()'`
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5. Commit both files: `git add scripts/ src/basis/lagrange_generated.jl`
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**Example**: Adding Hex64 (Triquartic)
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```julia
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# In scripts/generate_lagrange_basis.jl, add to element catalog:
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push!(elements, (
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name = "Hex64",
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description = "64-node triquartic hexahedral element",
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coordinates = [
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# ... 64 nodes (corners + edges + faces + volume)
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],
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ansatz = [
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:(1), :(ξ), :(η), :(ζ), # ... up to ξ³η³ζ³
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]
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))
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```
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Then regenerate:
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```bash
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julia --project=. scripts/generate_lagrange_basis.jl
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```
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The new `Hex64` type will be automatically available in JuliaFEM!
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---
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## Future Scripts (Planned)
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### `benchmark_suite.jl`
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Run comprehensive performance benchmarks.
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### `validate_against_reference.jl`
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Compare JuliaFEM results to Code Aster/ABAQUS.
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### `generate_element_matrices.jl`
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Pre-compute stiffness matrices for simple elements.
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---
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**See also:**
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- `docs/theory/lagrange_basis_functions.md` - Mathematical theory
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- `src/basis/lagrange_generator.jl` - Symbolic generation engine
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- `llm/VISION_2.0.md` - Overall project architecture
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