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#original code from https://github.com/genmoai/models under apache 2.0 license
# Based on Llama3 Implementation.
import torch
def apply_rotary_emb_qk_real(
xqk: torch.Tensor,
freqs_cos: torch.Tensor,
freqs_sin: torch.Tensor,
) -> torch.Tensor:
"""
Apply rotary embeddings to input tensors using the given frequency tensor without complex numbers.
Args:
xqk (torch.Tensor): Query and/or Key tensors to apply rotary embeddings. Shape: (B, S, *, num_heads, D)
Can be either just query or just key, or both stacked along some batch or * dim.
freqs_cos (torch.Tensor): Precomputed cosine frequency tensor.
freqs_sin (torch.Tensor): Precomputed sine frequency tensor.
Returns:
torch.Tensor: The input tensor with rotary embeddings applied.
"""
# Split the last dimension into even and odd parts
xqk_even = xqk[..., 0::2]
xqk_odd = xqk[..., 1::2]
# Apply rotation
cos_part = (xqk_even * freqs_cos - xqk_odd * freqs_sin).type_as(xqk)
sin_part = (xqk_even * freqs_sin + xqk_odd * freqs_cos).type_as(xqk)
# Interleave the results back into the original shape
out = torch.stack([cos_part, sin_part], dim=-1).flatten(-2)
return out
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