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| """Full definition of a LLaMA Language Model, all of it in this single file. | |
| Based on the nanoGPT implementation: https://github.com/karpathy/nanoGPT. | |
| """ | |
| # mypy: ignore-errors | |
| import math | |
| from dataclasses import dataclass | |
| from typing import Optional | |
| import torch | |
| import torch.nn as nn | |
| from torch.nn import functional as F | |
| from typing_extensions import Self | |
| from lit_llama.utils import find_multiple | |
| class LLaMAConfig: | |
| block_size: int = 2048 | |
| vocab_size: int = 32000 | |
| padded_vocab_size: Optional[int] = None | |
| n_layer: int = 32 | |
| n_head: int = 32 | |
| n_embd: int = 4096 | |
| def __post_init__(self): | |
| if self.padded_vocab_size is None: | |
| self.padded_vocab_size = find_multiple(self.vocab_size, 64) | |
| def from_name(cls, name: str) -> Self: | |
| return cls(**llama_configs[name]) | |
| llama_configs = { | |
| "7B": dict(n_layer=32, n_head=32, n_embd=4096), | |
| "13B": dict(n_layer=40, n_head=40, n_embd=5120), | |
| "30B": dict(n_layer=60, n_head=52, n_embd=6656), | |
| "65B": dict(n_layer=80, n_head=64, n_embd=8192), | |
| } | |
| class LLaMA(nn.Module): | |
| def __init__(self, config: LLaMAConfig) -> None: | |
| super().__init__() | |
| assert config.padded_vocab_size is not None | |
| self.config = config | |
| self.lm_head = nn.Linear(config.n_embd, config.padded_vocab_size, bias=False) | |
| self.transformer = nn.ModuleDict( | |
| dict( | |
| wte=nn.Embedding(config.padded_vocab_size, config.n_embd), | |
| h=nn.ModuleList([Block(config) for _ in range(config.n_layer)]), | |
| ln_f=RMSNorm(config.n_embd), | |
| ) | |
| ) | |
| def _init_weights(self, module: nn.Module) -> None: | |
| if isinstance(module, nn.Linear): | |
| torch.nn.init.normal_(module.weight, mean=0.0, std=0.02 / math.sqrt(2 * self.config.n_layer)) | |
| elif isinstance(module, nn.Embedding): | |
| torch.nn.init.normal_(module.weight, mean=0.0, std=0.02 / math.sqrt(2 * self.config.n_layer)) | |
| def forward(self, idx: torch.Tensor) -> torch.Tensor: | |
| _, t = idx.size() | |
| assert ( | |
| t <= self.config.block_size | |
| ), f"Cannot forward sequence of length {t}, block size is only {self.config.block_size}" | |
| # forward the LLaMA model itself | |
| x = self.transformer.wte(idx) # token embeddings of shape (b, t, n_embd) | |
| for block in self.transformer.h: | |
| x = block(x) | |
| x = self.transformer.ln_f(x) | |
| logits = self.lm_head(x) # (b, t, vocab_size) | |
| return logits | |
| def from_name(cls, name: str) -> Self: | |
| return cls(LLaMAConfig.from_name(name)) | |
| class Block(nn.Module): | |
| def __init__(self, config: LLaMAConfig) -> None: | |
| super().__init__() | |
| self.rms_1 = RMSNorm(config.n_embd) | |
| self.attn = CausalSelfAttention(config) | |
| self.rms_2 = RMSNorm(config.n_embd) | |
| self.mlp = MLP(config) | |
| def forward(self, x: torch.Tensor) -> torch.Tensor: | |
| x = x + self.attn(self.rms_1(x)) | |
| x = x + self.mlp(self.rms_2(x)) | |
| return x | |
| class CausalSelfAttention(nn.Module): | |
| def __init__(self, config: LLaMAConfig) -> None: | |
| super().__init__() | |
| assert config.n_embd % config.n_head == 0 | |
| # key, query, value projections for all heads, but in a batch | |
| self.c_attn = nn.Linear(config.n_embd, 3 * config.n_embd, bias=False) | |
| # output projection | |
| self.c_proj = nn.Linear(config.n_embd, config.n_embd, bias=False) | |
| self.n_head = config.n_head | |
| self.n_embd = config.n_embd | |
| self.block_size = config.block_size | |
| self.rope_cache: Optional[torch.Tensor] = None | |
| def forward(self, x: torch.Tensor) -> torch.Tensor: | |
| B, T, C = x.size() # batch size, sequence length, embedding dimensionality (n_embd) | |
| # calculate query, key, values for all heads in batch and move head forward to be the batch dim | |
| q, k, v = self.c_attn(x).split(self.n_embd, dim=2) | |
| head_size = C // self.n_head | |
| k = k.view(B, T, self.n_head, head_size).transpose(1, 2) # (B, nh, T, hs) | |
| q = q.view(B, T, self.n_head, head_size).transpose(1, 2) # (B, nh, T, hs) | |
| v = v.view(B, T, self.n_head, head_size).transpose(1, 2) # (B, nh, T, hs) | |
| if self.rope_cache is None: | |
| # cache for future forward calls | |
| self.rope_cache = build_rope_cache( | |
| seq_len=self.block_size, | |
| n_elem=self.n_embd // self.n_head, | |
| dtype=x.dtype, | |
| device=x.device, | |
| ) | |
| q = apply_rope(q, self.rope_cache) | |
| k = apply_rope(k, self.rope_cache) | |
| # causal self-attention; Self-attend: (B, nh, T, hs) x (B, nh, hs, T) -> (B, nh, T, T) | |
| # att = (q @ k.transpose(-2, -1)) * (1.0 / math.sqrt(k.size(-1))) | |
| # att = att.masked_fill(self.bias[:,:,:T,:T] == 0, float('-inf')) | |
| # att = F.softmax(att, dim=-1) | |
| # y = att @ v # (B, nh, T, T) x (B, nh, T, hs) -> (B, nh, T, hs) | |
| # efficient attention using Flash Attention CUDA kernels | |
| y = F.scaled_dot_product_attention(q, k, v, attn_mask=None, dropout_p=0.0, is_causal=True) | |
| y = y.transpose(1, 2).contiguous().view(B, T, C) # re-assemble all head outputs side by side | |
| # output projection | |
| y = self.c_proj(y) | |
| return y | |
| class MLP(nn.Module): | |
| def __init__(self, config: LLaMAConfig) -> None: | |
| super().__init__() | |
| hidden_dim = 4 * config.n_embd | |
| n_hidden = int(2 * hidden_dim / 3) | |
| n_hidden = find_multiple(n_hidden, 256) | |
| self.c_fc1 = nn.Linear(config.n_embd, n_hidden, bias=False) | |
| self.c_fc2 = nn.Linear(config.n_embd, n_hidden, bias=False) | |
| self.c_proj = nn.Linear(n_hidden, config.n_embd, bias=False) | |
| def forward(self, x: torch.Tensor) -> torch.Tensor: | |
| x = F.silu(self.c_fc1(x)) * self.c_fc2(x) | |
| x = self.c_proj(x) | |
| return x | |
| class RMSNorm(nn.Module): | |
| """Root Mean Square Layer Normalization. | |
| Derived from https://github.com/bzhangGo/rmsnorm/blob/master/rmsnorm_torch.py. BSD 3-Clause License: | |
| https://github.com/bzhangGo/rmsnorm/blob/master/LICENSE. | |
| """ | |
| def __init__(self, size: int, dim: int = -1, eps: float = 1e-5) -> None: | |
| super().__init__() | |
| self.scale = nn.Parameter(torch.ones(size)) | |
| self.eps = eps | |
| self.dim = dim | |
| def forward(self, x: torch.Tensor) -> torch.Tensor: | |
| # NOTE: the original RMSNorm paper implementation is not equivalent | |
| # norm_x = x.norm(2, dim=self.dim, keepdim=True) | |
| # rms_x = norm_x * d_x ** (-1. / 2) | |
| # x_normed = x / (rms_x + self.eps) | |
| norm_x = torch.mean(x * x, dim=self.dim, keepdim=True) | |
| x_normed = x * torch.rsqrt(norm_x + self.eps) | |
| return self.scale * x_normed | |
| def build_rope_cache(seq_len: int, n_elem: int, dtype: torch.dtype, device: torch.device, base: int = 10000) -> torch.Tensor: | |
| """Enhanced Transformer with Rotary Position Embedding. | |
| Derived from: https://github.com/labmlai/annotated_deep_learning_paper_implementations/blob/master/labml_nn/ | |
| transformers/rope/__init__.py. MIT License: | |
| https://github.com/labmlai/annotated_deep_learning_paper_implementations/blob/master/license. | |
| """ | |
| # $\Theta = {\theta_i = 10000^{\frac{2(i-1)}{d}}, i \in [1, 2, ..., \frac{d}{2}]}$ | |
| theta = 1.0 / (base ** (torch.arange(0, n_elem, 2, dtype=dtype, device=device) / n_elem)) | |
| # Create position indexes `[0, 1, ..., seq_len - 1]` | |
| seq_idx = torch.arange(seq_len, dtype=dtype, device=device) | |
| # Calculate the product of position index and $\theta_i$ | |
| idx_theta = torch.outer(seq_idx, theta).float() | |
| cache = torch.stack([torch.cos(idx_theta), torch.sin(idx_theta)], dim=-1) | |
| # this is to mimic the behaviour of complex32, else we will get different results | |
| if dtype in (torch.float16, torch.bfloat16, torch.int8): | |
| cache = cache.half() | |
| return cache | |
| def apply_rope(x: torch.Tensor, rope_cache: torch.Tensor) -> torch.Tensor: | |
| x = x.transpose(1, 2) | |
| # truncate to support variable sizes | |
| T = x.size(1) | |
| rope_cache = rope_cache[:T] | |
| # cast because the reference does | |
| xshaped = x.float().reshape(*x.shape[:-1], -1, 2) | |
| rope_cache = rope_cache.view(1, xshaped.size(1), 1, xshaped.size(3), 2) | |
| x_out2 = torch.stack( | |
| [xshaped[..., 0] * rope_cache[..., 0] - xshaped[..., 1] * rope_cache[..., 1], | |
| xshaped[..., 1] * rope_cache[..., 0] + xshaped[..., 0] * rope_cache[..., 1], | |
| ], -1) | |
| x_out2 = x_out2.flatten(3) | |
| return x_out2.transpose(1, 2).type_as(x) | |