"""Small shared neural-network layers.""" from __future__ import annotations import torch from torch import nn from torch.nn import functional as F class RMSNorm(nn.Module): def __init__(self, width: int, eps: float = 1e-5) -> None: super().__init__() self.eps = eps self.weight = nn.Parameter(torch.ones(width)) def forward(self, x: torch.Tensor) -> torch.Tensor: # Accumulating the variance in fp32 prevents low-precision callers from # underflowing; the normalized activation is cast back before scaling. normalized = x.float() * torch.rsqrt(x.float().pow(2).mean(dim=-1, keepdim=True) + self.eps) return normalized.to(dtype=x.dtype) * self.weight class SwiGLU(nn.Module): def __init__(self, width: int, hidden_width: int, dropout: float, bias: bool = False) -> None: super().__init__() self.gate = nn.Linear(width, hidden_width, bias=bias) self.up = nn.Linear(width, hidden_width, bias=bias) self.down = nn.Linear(hidden_width, width, bias=bias) self.dropout = nn.Dropout(dropout) def forward(self, x: torch.Tensor) -> torch.Tensor: return self.dropout(self.down(F.silu(self.gate(x)) * self.up(x))) def apply_rope(q: torch.Tensor, k: torch.Tensor) -> tuple[torch.Tensor, torch.Tensor]: """Apply rotary embeddings to tensors shaped ``[B, H, T, D]``.""" _, _, seq_len, head_dim = q.shape if head_dim % 2: raise ValueError("RoPE requires an even head dimension") # RoPE pairs adjacent channels. Frequencies decrease geometrically from the # fastest pair to the slowest pair, then each pair is rotated by its token # position. There are intentionally no learned position parameters. positions = torch.arange(seq_len, device=q.device, dtype=torch.float32) frequencies = 1.0 / ( 10000.0 ** (torch.arange(0, head_dim, 2, device=q.device, dtype=torch.float32) / head_dim) ) angles = torch.outer(positions, frequencies) cos = angles.cos()[None, None, :, :].to(dtype=q.dtype) sin = angles.sin()[None, None, :, :].to(dtype=q.dtype) def rotate(x: torch.Tensor) -> torch.Tensor: # [x_even, x_odd] is multiplied by the 2-D rotation matrix for every # position/frequency pair, then interleaved back into the head axis. even, odd = x[..., 0::2], x[..., 1::2] return torch.stack((even * cos - odd * sin, even * sin + odd * cos), dim=-1).flatten(-2) return rotate(q), rotate(k)