test: Add integration tests for Autodiff module [P1]

[ooples]

Overview

This issue tracks integration tests for the Autodiff module. P1 (High Priority).

Parent Issue: #615

Current Status

• Coverage: 0%
• Source Files: 5 files
• Test Files: None

Module Location

src/Autodiff/

Components to Test

Autodiff Classes

• GradientTape
• ComputationNode
• TensorOperations
• NeuralNetworkDerivatives
• GradientCheckpointing

Test Categories

1. GradientTape Tests

• Test gradient recording
• Test gradient computation
• Test nested tapes
• Test persistent tape
• Compare against PyTorch autograd

2. ComputationNode Tests

• Test forward pass
• Test backward pass
• Test node graph construction
• Test topological ordering

3. TensorOperations Tests

• Test differentiable operations
• Test gradient flow through ops
• Verify chain rule application

4. Derivative Tests

• Test neural network gradients
• Compare against numerical gradients
• Test higher-order derivatives

5. Gradient Checkpointing Tests

• Test memory savings
• Verify gradient correctness
• Test checkpoint boundaries

Mathematical Verification

Numerical Gradient Check

numerical_grad = (f(x + h) - f(x - h)) / (2h)

Compare against computed gradients.

Test Functions

• f(x) = x^2 (simple)
• f(x) = sin(x) (transcendental)
• f(x, y) = x*y (multivariate)
• Neural network layers

Edge Cases

• Zero gradients
• Very large gradients
• Discontinuous functions
• Non-differentiable points

Acceptance Criteria

• All 5 classes tested
• Gradients match numerical computation
• Compare against PyTorch autograd
• Checkpointing verified
• 80%+ coverage

References

• PyTorch autograd: https://pytorch.org/docs/stable/autograd.html
• JAX autodiff: https://jax.readthedocs.io/en/latest/notebooks/autodiff_cookbook.html

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🔗 Similar Issues

Related Issues

• test: Add integration tests for ReinforcementLearning module [P1] #622
• test: Add integration tests for Engines module [P1] #627
• test: Add integration tests for MetaLearning module [P1] #623
• test: Add comprehensive integration tests for NeuralNetworks module [P0] #616
• test: Add comprehensive integration tests for Optimizers module [P0] #618
• test: Expand integration tests for LossFunctions module (5 missing) [P0] #619

🔗 Related PRs

#610 - test: add integration tests for transfer learning (#360, #361) [closed]

👤 Suggested Assignees

• ooples

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