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Minimal Backend Interface #159

@jeremymanning

Description

@jeremymanning

Parent Epic: #155

Task: Minimal Backend Interface

Description

Create an abstract backend interface and implement the NumPy backend that wraps existing numerical operations.

Acceptance Criteria

  • Abstract Backend base class created
  • NumPy backend implements all required operations
  • Existing NumPy code wrapped, not rewritten
  • Backend can be swapped without changing core logic
  • Clear extension points for JAX/PyTorch

Technical Details

  • Create htfa/backends/base.py with abstract interface
  • Create htfa/backends/numpy_backend.py implementation
  • Define methods: matrix_multiply, svd, solve, random ops
  • Use dependency injection in HTFA class
  • Document interface for future backends

Dependencies

  • Task 164 must be complete (backend parameter added)

Effort Estimate

  • Size: M
  • Hours: 6-8
  • Parallel: true

Definition of Done

  • Backend interface defined
  • NumPy backend implemented
  • Existing operations wrapped
  • Tests for backend operations
  • Documentation for extending

Status

COMPLETED - Backend interface with 37 operations implemented, NumPy backend working, full test coverage.

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