NumPy
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Provides the independent integer reference implementation used for the tolerance-0 comparison.
Used for local, in-process array operations, including writing the ControlNet-style annotators (Canny, line art, sketch, luma-depth, posterize) as plain fn nodes with no model behind them.
Used in the author's illustrative code examples to compute softmax and sample tokens (e.g. via random.choice) when explaining next-token sampling.
Python library required by trace alongside pillow.
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