amari 0.9.3

Advanced mathematical computing library with geometric algebra, tropical algebra, and automatic differentiation
Documentation
# Amari Library Integration Status

## Overview

This document tracks the integration status of all Amari crates across the three deployment targets:
- **Main**: Core Rust library
- **WASM**: WebAssembly bindings for web/JavaScript
- **GPU**: GPU acceleration using WebGPU/wgpu

## Integration Matrix

| Crate | Main | WASM | GPU | Notes |
|-------|------|------|-----|-------|
| **amari-core** |||| Fully integrated geometric algebra |
| **amari-tropical** |||| Max-plus semiring, needs web/GPU integration |
| **amari-dual** |||| Automatic differentiation, needs web/GPU integration |
| **amari-network** |||| **Complete** - Graph analysis with geometric embedding |
| **amari-info-geom** |||| Information geometry, partial GPU acceleration |
| **amari-relativistic** || ⚠️ || GPU complete, WASM needs API compatibility fixes |
| **amari-fusion** |||| Neural network optimization, needs web/GPU integration |
| **amari-automata** |||| Cellular automata, needs web/GPU integration |
| **amari-enumerative** |||| Enumerative geometry, needs web/GPU integration |
| **amari-gpu** || N/A || GPU acceleration framework |
| **amari-wasm** ||| N/A | WASM bindings framework |

**Legend:**
- ✅ Fully integrated and tested
- ⚠️ Partially integrated with known issues
- ❌ Not integrated
- N/A Not applicable

## Detailed Status

### Fully Integrated Crates

#### amari-core
- **Main**: Complete geometric algebra implementation
- **WASM**: Multivector operations, rotor transformations, batch operations
- **GPU**: Cayley table operations, geometric products
- **Coverage**: ~95% of core functionality exposed

#### amari-network (v0.9.1)
- **Main**: Complete geometric network analysis
- **WASM**: Full JavaScript API with clustering, pathfinding, centrality
- **GPU**: Distance calculations, centrality measures, k-means clustering
- **Coverage**: 100% - newest crate with comprehensive integration

### Partially Integrated Crates

#### amari-relativistic
- **Main**: ✅ Complete spacetime algebra and particle physics
- **WASM**: ⚠️ Bindings exist but have API compatibility issues (14 compilation errors)
- **GPU**: ✅ Spacetime vector operations, trajectory calculations
- **Issues**: WASM bindings need updates for v0.9.1 API changes

#### amari-info-geom
- **Main**: ✅ Complete information geometry implementation
- **WASM**: ❌ No web bindings
- **GPU**: ✅ Amari-Chentsov tensor batch computations, Fisher matrices
- **Coverage**: GPU acceleration for large-scale computations only

### Non-Integrated Crates

#### amari-tropical
- **Main**: ✅ Complete max-plus semiring algebra
- **WASM**: ❌ No web bindings for tropical arithmetic
- **GPU**: ❌ No GPU acceleration for tropical operations
- **Potential**: High value for pathfinding and optimization algorithms

#### amari-dual
- **Main**: ✅ Complete automatic differentiation
- **WASM**: ❌ No web bindings for AD operations
- **GPU**: ❌ No GPU acceleration for dual number computations
- **Potential**: Critical for ML/optimization web applications

#### amari-fusion
- **Main**: ✅ Complete fusion system implementation
- **WASM**: ❌ No web bindings for neural network operations
- **GPU**: ❌ No GPU acceleration for fusion computations
- **Potential**: Essential for high-performance ML in browsers

#### amari-automata
- **Main**: ✅ Complete cellular automata implementation
- **WASM**: ❌ No web bindings for automata simulations
- **GPU**: ❌ No GPU acceleration for cellular automata
- **Potential**: Excellent for interactive simulations and visualizations

#### amari-enumerative
- **Main**: ✅ Complete enumerative geometry
- **WASM**: ❌ No web bindings for geometric computations
- **GPU**: ❌ No GPU acceleration for enumerative methods
- **Potential**: Valuable for computational geometry applications

## Integration Patterns

### WASM Integration Requirements
1. **Feature flags**: Disable high-precision to ensure WASM compatibility
2. **API design**: JavaScript-friendly methods with appropriate error handling
3. **Serialization**: serde support for data exchange with JS
4. **Performance**: Batch operations and memory pooling for efficiency

### GPU Integration Requirements
1. **Compute shaders**: WGSL implementations for parallel operations
2. **Buffer management**: Efficient GPU memory allocation and data transfer
3. **Adaptive dispatch**: CPU fallback for small problems, GPU for large scale
4. **Platform detection**: Graceful degradation when GPU unavailable

### Testing Requirements
1. **WASM**: wasm-bindgen-test for browser environment testing
2. **GPU**: Conditional testing that skips when GPU unavailable
3. **Integration**: Cross-crate compatibility testing
4. **Performance**: Benchmarks comparing CPU/GPU/WASM performance

## Priority Integration Roadmap

### High Priority (v0.9.3)
1. **Fix amari-relativistic WASM**: Resolve 14 API compatibility errors
2. **amari-tropical WASM**: Critical for optimization algorithms in web
3. **amari-dual WASM**: Essential for ML applications

### Medium Priority (v0.9.4)
1. **amari-fusion WASM**: Neural network optimization in browsers
2. **amari-tropical GPU**: Accelerated pathfinding and optimization
3. **amari-dual GPU**: GPU-accelerated automatic differentiation

### Lower Priority (v0.9.5+)
1. **amari-automata WASM/GPU**: Interactive simulations
2. **amari-enumerative WASM/GPU**: Computational geometry
3. **amari-info-geom WASM**: Information theory in web apps

## Testing Coverage Status

### Current Test Infrastructure
- **Unit tests**: All main crates have comprehensive unit tests
- **Integration tests**: Cross-crate compatibility testing
- **WASM tests**: Limited to amari-core and amari-network
- **GPU tests**: Conditional tests that skip in CI environments

### Coverage Gaps
- **WASM**: Most crates lack web-specific testing
- **GPU**: Performance benchmarks missing
- **Cross-platform**: Limited testing on different GPU vendors
- **Memory**: Memory usage and leak testing incomplete

## Technical Debt

### WASM
- Outdated relativistic bindings need API updates
- Missing error handling patterns in some modules
- Performance optimization opportunities in batch operations

### GPU
- Some pipeline objects created but never used (dead code warnings)
- Limited fallback strategies for GPU initialization failures
- Missing memory usage monitoring and optimization

### General
- Workspace dependency warnings for default-features
- Inconsistent feature flag patterns across crates
- Documentation gaps for integration examples

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*Last updated: v0.9.2 (Current)*
*Next review: v0.9.3 planning*