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from dataclasses import dataclass
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
@dataclass
class GPTConfig:
vocab_size: int = 32000
n_layers: int = 30
d_model: int = 576
n_heads: int = 9
n_kv_heads: int = 3 # GQA KV heads; == n_heads is plain MHA (pre-GQA checkpoints)
d_ff: int = 1536 # SwiGLU: ~2.67x d_model (MobileLLM/SmolLM2-135M deep-thin shape)
max_seq_len: int = 2048
dropout: float = 0.0
tie_embeddings: bool = True
# RoPE (rotary positional embedding)
rope_theta: float = 10000.0
rope_pct: float = 1.0 # fraction of head_dim to rotate (1.0 = full head_dim)
CANONICAL_DENSE_PARAMETER_COUNT = 124_635_456
_CANONICAL_PARAMETERIZATION = {
"vocab_size": 32_000,
"n_layers": 30,
"d_model": 576,
"n_heads": 9,
"n_kv_heads": 3,
"d_ff": 1_536,
"tie_embeddings": True,
}
def expected_gpt_parameter_count(cfg: GPTConfig) -> int:
"""Derive the unique parameter count for the dense bias-free GPT."""
integer_fields = {
"vocab_size": cfg.vocab_size,
"n_layers": cfg.n_layers,
"d_model": cfg.d_model,
"n_heads": cfg.n_heads,
"n_kv_heads": cfg.n_kv_heads,
"d_ff": cfg.d_ff,
}
for name, value in integer_fields.items():
if isinstance(value, bool) or not isinstance(value, int) or value <= 0:
raise ValueError(f"GPTConfig.{name} must be a positive integer")
if cfg.d_model % cfg.n_heads:
raise ValueError("GPTConfig.d_model must be divisible by n_heads")
if cfg.n_heads % cfg.n_kv_heads:
raise ValueError("GPTConfig.n_heads must be divisible by n_kv_heads")
head_dim = cfg.d_model // cfg.n_heads
kv_dim = cfg.n_kv_heads * head_dim
token_matrices = 1 if cfg.tie_embeddings else 2
embeddings = token_matrices * cfg.vocab_size * cfg.d_model
# q + output projections are d_model x d_model; k and v are d_model x kv_dim (GQA)
attention = 2 * cfg.d_model * cfg.d_model + 2 * cfg.d_model * kv_dim
swiglu = 3 * cfg.d_model * cfg.d_ff
block_norms = 2 * cfg.d_model
final_norm = cfg.d_model
return int(embeddings + cfg.n_layers * (attention + swiglu + block_norms) + final_norm)
def audit_gpt_parameter_count(model: nn.Module, cfg: GPTConfig) -> dict[str, int | bool | str]:
"""Fail fast on implementation/config drift and return manifest metadata."""
expected = expected_gpt_parameter_count(cfg)
actual = int(sum(parameter.numel() for parameter in model.parameters()))
trainable = int(
sum(parameter.numel() for parameter in model.parameters() if parameter.requires_grad)
)
if actual != expected:
raise RuntimeError(
"GPT parameter count disagrees with the architecture-derived count: "
f"actual={actual:,}, expected={expected:,}"
)
canonical = all(
getattr(cfg, field) == expected_value
for field, expected_value in _CANONICAL_PARAMETERIZATION.items()
)
if canonical and actual != CANONICAL_DENSE_PARAMETER_COUNT:
raise RuntimeError(
"canonical PetitGPT parameter count mismatch: "
f"actual={actual:,}, expected={CANONICAL_DENSE_PARAMETER_COUNT:,}"
)
return {
"status": "passed",
"counting_method": "unique_parameter_objects_excluding_buffers",
"actual_total": actual,
"actual_trainable": trainable,
"derived_expected_total": expected,
"canonical_parameterization": canonical,
"canonical_expected_total": CANONICAL_DENSE_PARAMETER_COUNT,
"canonical_match": canonical and actual == CANONICAL_DENSE_PARAMETER_COUNT,
}
def gpt_config_from_checkpoint_dict(cfg_dict: dict) -> GPTConfig:
"""Rebuild a GPTConfig from a checkpoint's serialized config dict.
Pre-GQA checkpoints carry no n_kv_heads; absence means plain MHA
(n_kv_heads == n_heads), whose fused-QKV weight layout is unchanged.
"""
cfg_dict = dict(cfg_dict)
cfg_dict.setdefault("n_kv_heads", cfg_dict["n_heads"])
return GPTConfig(**cfg_dict)
class RMSNorm(nn.Module):
def __init__(self, dim: int, eps: float = 1e-6):
super().__init__()
self.eps = eps
self.weight = nn.Parameter(torch.ones(dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
# x: [B, T, C]
rms = x.pow(2).mean(dim=-1, keepdim=True).add(self.eps).rsqrt()
return x * rms * self.weight
def _rotate_half(x: torch.Tensor) -> torch.Tensor:
# x: [..., D]. Half-split layout (Llama/GPT-NeoX): pairs are (i, i+D/2),
# matching the `cat([freqs, freqs])` cos/sin cache below.
half = x.shape[-1] // 2
x1 = x[..., :half]
x2 = x[..., half:]
return torch.cat((-x2, x1), dim=-1)
class RotaryEmbedding(nn.Module):
"""Precomputes RoPE cos/sin caches up to max_seq_len."""
def __init__(self, head_dim: int, max_seq_len: int, theta: float = 10000.0, pct: float = 1.0):
super().__init__()
if head_dim % 2 != 0:
raise ValueError(f"RoPE requires even head_dim, got {head_dim}")
self.head_dim = int(head_dim)
self.max_seq_len = int(max_seq_len)
self.theta = float(theta)
self.pct = float(pct)
rope_dim = int(self.head_dim * self.pct)
rope_dim = rope_dim - (rope_dim % 2)
rope_dim = max(0, min(rope_dim, self.head_dim))
self.rope_dim = rope_dim
if self.rope_dim > 0:
inv_freq = 1.0 / (
self.theta ** (torch.arange(0, self.rope_dim, 2).float() / self.rope_dim)
)
t = torch.arange(self.max_seq_len, dtype=torch.float32)
freqs = torch.outer(t, inv_freq) # [T, rope_dim/2]
emb = torch.cat([freqs, freqs], dim=-1) # [T, rope_dim]
cos = emb.cos()
sin = emb.sin()
else:
cos = torch.empty(self.max_seq_len, 0, dtype=torch.float32)
sin = torch.empty(self.max_seq_len, 0, dtype=torch.float32)
self.register_buffer("cos_cached", cos, persistent=False)
self.register_buffer("sin_cached", sin, persistent=False)
def forward(
self, q: torch.Tensor, k: torch.Tensor, seq_len: int, offset: int = 0
) -> tuple[torch.Tensor, torch.Tensor]:
"""Apply RoPE to q,k. q,k: [B, nH, T, Hd].
`offset` is the absolute position of the first token in q,k — nonzero
during KV-cached incremental decoding, where the new tokens sit at
positions [offset, offset+seq_len).
"""
end = offset + seq_len
if end > self.max_seq_len:
raise ValueError(
f"position {end} exceeds max_seq_len={self.max_seq_len} for RoPE cache"
)
if self.rope_dim == 0:
return q, k
cos = self.cos_cached[offset:end].to(dtype=q.dtype, device=q.device) # [T, rope_dim]
sin = self.sin_cached[offset:end].to(dtype=q.dtype, device=q.device) # [T, rope_dim]
cos = cos.unsqueeze(0).unsqueeze(0) # [1,1,T,rope_dim]
sin = sin.unsqueeze(0).unsqueeze(0)
q1, q2 = q[..., : self.rope_dim], q[..., self.rope_dim :]
k1, k2 = k[..., : self.rope_dim], k[..., self.rope_dim :]
q1 = q1 * cos + _rotate_half(q1) * sin
k1 = k1 * cos + _rotate_half(k1) * sin
q = torch.cat([q1, q2], dim=-1)
k = torch.cat([k1, k2], dim=-1)
return q, k
class SwiGLU(nn.Module):
def __init__(self, cfg: GPTConfig):
super().__init__()
self.w1 = nn.Linear(cfg.d_model, cfg.d_ff, bias=False)
self.w3 = nn.Linear(cfg.d_model, cfg.d_ff, bias=False)
self.w2 = nn.Linear(cfg.d_ff, cfg.d_model, bias=False)
self.drop = nn.Dropout(cfg.dropout)
def forward(self, x: torch.Tensor) -> torch.Tensor:
x = F.silu(self.w1(x)) * self.w3(x)
x = self.w2(x)
return self.drop(x)
class CausalSelfAttention(nn.Module):
def __init__(self, cfg: GPTConfig):
super().__init__()
assert cfg.d_model % cfg.n_heads == 0
assert cfg.n_heads % cfg.n_kv_heads == 0
self.cfg = cfg
self.head_dim = cfg.d_model // cfg.n_heads
self.kv_dim = cfg.n_kv_heads * self.head_dim
# QKV fused: one matmul instead of three. K/V carry n_kv_heads (GQA);
# n_kv_heads == n_heads is plain MHA with the historical 3*d_model layout.
self.qkv = nn.Linear(cfg.d_model, cfg.d_model + 2 * self.kv_dim, bias=False)
# residual branch output projection
self.proj = nn.Linear(cfg.d_model, cfg.d_model, bias=False)
self.drop = nn.Dropout(cfg.dropout)
self.rope = RotaryEmbedding(
head_dim=self.head_dim,
max_seq_len=cfg.max_seq_len,
theta=cfg.rope_theta,
pct=cfg.rope_pct,
)
@staticmethod
def _incremental_mask(T: int, past_len: int, device: torch.device) -> torch.Tensor:
"""Bottom-right causal mask [T, past_len+T] (True = attend) for decoding
T new queries against past_len cached keys plus the new keys."""
q_pos = past_len + torch.arange(T, device=device)
k_pos = torch.arange(past_len + T, device=device)
return k_pos[None, :] <= q_pos[:, None]
def forward(
self,
x: torch.Tensor,
past_kv: tuple[torch.Tensor, torch.Tensor] | None = None,
use_cache: bool = False,
):
"""x: [B, T, C]. With no cache this is byte-identical to a plain causal
forward and returns the output tensor. With `use_cache` (or a supplied
`past_kv`) it also returns the updated (k, v) for this layer."""
B, T, C = x.shape
past_len = 0 if past_kv is None else past_kv[0].size(2)
if past_len + T > self.cfg.max_seq_len:
raise ValueError(
f"cache length {past_len + T} exceeds max_seq_len={self.cfg.max_seq_len}"
)
qkv = self.qkv(x) # [B, T, C + 2*kv_dim]
q, k, v = qkv.split([C, self.kv_dim, self.kv_dim], dim=-1)
q = q.view(B, T, self.cfg.n_heads, self.head_dim).transpose(1, 2) # [B,nH,T,Hd]
k = k.view(B, T, self.cfg.n_kv_heads, self.head_dim).transpose(1, 2) # [B,nKV,T,Hd]
v = v.view(B, T, self.cfg.n_kv_heads, self.head_dim).transpose(1, 2)
# RoPE rotates only the new tokens, at their absolute positions.
q, k = self.rope(q, k, seq_len=T, offset=past_len)
# Prepend cached keys/values (already rotated when they were new). The
# cache stays un-expanded at n_kv_heads so its memory reflects GQA.
if past_kv is not None:
k = torch.cat([past_kv[0], k], dim=2)
v = torch.cat([past_kv[1], v], dim=2)
present = (k, v) if use_cache else None
# Expand grouped KV heads to the full head count for attention. KV head g
# serves query heads [g*rep, (g+1)*rep) — repeat_interleave matches SDPA's
# enable_gqa grouping (torch >= 2.5), which can replace this someday.
if self.cfg.n_kv_heads != self.cfg.n_heads:
rep = self.cfg.n_heads // self.cfg.n_kv_heads
k = k.repeat_interleave(rep, dim=1)
v = v.repeat_interleave(rep, dim=1)
dropout_p = float(self.cfg.dropout) if (self.training and self.cfg.dropout > 0) else 0.0
if q.device.type == "cuda":
if past_len == 0:
y = F.scaled_dot_product_attention(
q, k, v, attn_mask=None, dropout_p=dropout_p, is_causal=True
)
else:
y = F.scaled_dot_product_attention(
q,
k,
v,
attn_mask=self._incremental_mask(T, past_len, q.device),
dropout_p=dropout_p,
)
else:
scale = 1.0 / math.sqrt(self.head_dim)
att = torch.matmul(q * scale, k.transpose(-2, -1)) # [B,nH,T,past_len+T]
if past_len == 0:
mask = torch.triu(torch.ones((T, T), device=q.device, dtype=torch.bool), diagonal=1)
att = att.masked_fill(mask, float("-inf"))
else:
allow = self._incremental_mask(T, past_len, q.device) # [T, past_len+T]
att = att.masked_fill(~allow, float("-inf"))
att = F.softmax(att, dim=-1)
if dropout_p > 0.0:
att = F.dropout(att, p=dropout_p)
y = torch.matmul(att, v)
y = y.transpose(1, 2).contiguous().view(B, T, C)
y = self.drop(self.proj(y))
if use_cache:
return y, present
return y
class Block(nn.Module):
def __init__(self, cfg: GPTConfig):
super().__init__()
self.norm1 = RMSNorm(cfg.d_model)
self.attn = CausalSelfAttention(cfg)
self.norm2 = RMSNorm(cfg.d_model)
self.mlp = SwiGLU(cfg)
def forward(
self,
x: torch.Tensor,
past_kv: tuple[torch.Tensor, torch.Tensor] | None = None,
use_cache: bool = False,
):
if use_cache or past_kv is not None:
attn_out, present = self.attn(self.norm1(x), past_kv=past_kv, use_cache=True)
x = x + attn_out
x = x + self.mlp(self.norm2(x))
return x, present
x = x + self.attn(self.norm1(x))
x = x + self.mlp(self.norm2(x))
return x
class GPT(nn.Module):
def __init__(self, cfg: GPTConfig):
super().__init__()
self.cfg = cfg
self.tok_emb = nn.Embedding(cfg.vocab_size, cfg.d_model)
self.drop = nn.Dropout(cfg.dropout)
self.blocks = nn.ModuleList([Block(cfg) for _ in range(cfg.n_layers)])
self.norm_f = RMSNorm(cfg.d_model)
self.lm_head = nn.Linear(cfg.d_model, cfg.vocab_size, bias=False)
if cfg.tie_embeddings:
self.lm_head.weight = self.tok_emb.weight
# Base init everywhere...
self.apply(self._init_weights)
# ...then scale init ONLY on residual-branch output projections: attn.proj and mlp.w2
self._init_residual_projections()
def _init_weights(self, m: nn.Module):
if isinstance(m, (nn.Linear, nn.Embedding)):
torch.nn.init.normal_(m.weight, mean=0.0, std=0.02)
def _init_residual_projections(self):
std = 0.02 / math.sqrt(2.0 * float(self.cfg.n_layers))
for blk in self.blocks:
torch.nn.init.normal_(blk.attn.proj.weight, mean=0.0, std=std)
torch.nn.init.normal_(blk.mlp.w2.weight, mean=0.0, std=std)
def forward(
self,
input_ids: torch.Tensor,
past_kv: list[tuple[torch.Tensor, torch.Tensor]] | None = None,
use_cache: bool = False,
):
"""Default call `model(input_ids)` returns logits [B, T, V] — unchanged.
For incremental decoding, pass `use_cache=True` to also get a per-layer
list of (k, v) tensors, and feed it back as `past_kv` with only the new
token(s) on the next call. See `generate`.
"""
B, T = input_ids.shape
past_len = 0 if past_kv is None else past_kv[0][0].size(2)
if past_len + T > self.cfg.max_seq_len:
raise ValueError(
f"T={T} with cache={past_len} exceeds max_seq_len={self.cfg.max_seq_len}"
)
if T < 1:
raise ValueError("Empty sequence")
caching = use_cache or (past_kv is not None)
x = self.tok_emb(input_ids)
x = self.drop(x)
presents: list[tuple[torch.Tensor, torch.Tensor]] = []
for i, blk in enumerate(self.blocks):
layer_past = past_kv[i] if past_kv is not None else None
if caching:
x, present = blk(x, past_kv=layer_past, use_cache=True)
presents.append(present)
else:
x = blk(x)
x = self.norm_f(x)
logits = self.lm_head(x)
if caching:
return logits, presents
return logits
@staticmethod
def _sample_token(
logits: torch.Tensor, temperature: float, top_k: int, top_p: float
) -> torch.Tensor:
"""logits: [B, V] -> next token [B, 1]. temperature<=0 is greedy."""
if temperature <= 0:
return logits.argmax(dim=-1, keepdim=True)
logits = logits / temperature
if top_k and top_k > 0:
k = min(int(top_k), logits.size(-1))
thresh = torch.topk(logits, k, dim=-1).values[:, -1, None]
logits = logits.masked_fill(logits < thresh, float("-inf"))
if top_p and top_p < 1.0:
sorted_logits, sorted_idx = torch.sort(logits, descending=True, dim=-1)
cum = torch.softmax(sorted_logits, dim=-1).cumsum(dim=-1)
drop_sorted = cum > top_p
drop_sorted[..., 0] = False
drop = torch.zeros_like(drop_sorted).scatter(-1, sorted_idx, drop_sorted)
logits = logits.masked_fill(drop, float("-inf"))
probs = torch.softmax(logits, dim=-1)
return torch.multinomial(probs, num_samples=1)
@torch.no_grad()
def generate(
self,
input_ids: torch.Tensor,
max_new_tokens: int,
*,
temperature: float = 1.0,
top_k: int = 0,
top_p: float = 1.0,
eos_id: int | None = None,
) -> torch.Tensor:
"""KV-cached incremental decoding. input_ids: [B, T] -> [B, T + n].
Prefills the prompt once, then feeds one new token per step against the
cache (O(T) forwards of length 1) instead of re-running the full growing
sequence each step. Stops early if all rows emit `eos_id`.
"""
was_training = self.training
self.eval()
logits, past = self.forward(input_ids, use_cache=True)
out = input_ids
for _ in range(int(max_new_tokens)):
next_tok = self._sample_token(logits[:, -1, :], temperature, top_k, top_p)
out = torch.cat([out, next_tok], dim=1)
if eos_id is not None and bool((next_tok.squeeze(1) == eos_id).all()):
break
if out.size(1) >= self.cfg.max_seq_len:
break
logits, past = self.forward(next_tok, past_kv=past, use_cache=True)
if was_training:
self.train()
return out
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