[codex] add von Mises-Fisher multiplication example

[FlorianPfaff]

Summary

• Added examples/basic/von_mises_fisher_multiplication.py to demonstrate multiplying two von Mises-Fisher distributions on S^2.
• The example verifies the analytic natural-parameter product and checks that the normalized product density is proportional to the pointwise product of the factors.

Validation

• PYTHONPATH=src python examples/basic/von_mises_fisher_multiplication.py
• PYTHONPATH=src python -m pytest tests/distributions/test_von_mises_fisher_distribution.py
• PYTHONPATH=src PYRECEST_BACKEND=pytorch python examples/basic/von_mises_fisher_multiplication.py
• PYTHONPATH=src PYRECEST_BACKEND=pytorch python -m pytest tests/distributions/test_von_mises_fisher_distribution.py
• PYTHONPATH=src PYRECEST_BACKEND=jax python examples/basic/von_mises_fisher_multiplication.py
• PYTHONPATH=src PYRECEST_BACKEND=jax python -m pytest tests/distributions/test_von_mises_fisher_distribution.py

Note: the PyTorch test run emitted existing NumPy 2 deprecation warnings from von_mises_fisher_distribution.py; all tests passed.

[github-actions]

✅MegaLinter analysis: Success

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[github-actions]

Test Results

    12 files  ±0      12 suites  ±0   4h 25m 45s ⏱️ - 15m 38s
 1 171 tests ±0   1 171 ✅ ±0      0 💤 ±0  0 ❌ ±0 
14 344 runs  ±0  10 828 ✅ ±0  3 516 💤 ±0  0 ❌ ±0 

Results for commit cd7a2ed. ± Comparison against base commit 1c808e2.