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"""Normalization layers for transfromers.

Copied from lucidrains:
    https://github.com/lucidrains/x-transformers/blob/main/x_transformers/x_transformers.py

"""
import torch
from torch import nn
from torch import Tensor


class RMSNorm(nn.Module):
    """Root mean square layer normalization."""

    def __init__(self, dim: int, eps: float = 1e-8) -> None:
        super().__init__()
        self.scale = dim ** -0.5
        self.eps = eps
        self.g = nn.Parameter(torch.ones(dim))

    def forward(self, x: Tensor) -> Tensor:
        """Applies normalization."""
        norm = torch.norm(x, dim=-1, keepdim=True) * self.scale
        return x / norm.clamp(min=self.eps) * self.g