Rope2DPosEmbRepeated._precompute_freqs_cis: x pos

Read the equation

In Rope2DPosEmbRepeated._precompute_freqs_cis, this statement defines or updates x_pos. This statement evaluates the named projection, normalization or numeric transform with the source arguments. Its learned parameters and exact input shape are defined by the surrounding module.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read x_pos as the quantity being defined or updated by this relation.

2. Uses a remainder or modular operation, retaining the numeric representation used in the source.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

"""
        N = self.max_height * self.max_width
        flat_pos = torch.arange(0, N).float().to(device)
        x_pos = flat_pos % self.max_width
        y_pos = flat_pos // self.max_width
        dim_range = (torch.arange(0, self.dim,
                                  4)[:(self.dim // 4)].float().to(device)

x_pos = flat_pos % self.max_width

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