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671 lines (552 loc) · 24.5 KB
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# Copyright (c) Sebastian Raschka under Apache License 2.0 (see LICENSE.txt)
# Source for "Build a Reasoning Model (From Scratch)": https://mng.bz/lZ5B
# Code repository: https://github.com/rasbt/reasoning-from-scratch
from .utils import download_file
import contextlib
from pathlib import Path
import re
import torch
import torch.nn as nn
# 0.6 billion parameters
QWEN_CONFIG_06_B = {
"vocab_size": 151_936, # Vocabulary size
"context_length": 40_960, # Length originally used during training
"emb_dim": 1024, # Embedding dimension
"n_heads": 16, # Number of attention heads
"n_layers": 28, # Number of layers
"hidden_dim": 3072, # Size of intermediate dim in FeedForward
"head_dim": 128, # Size of the heads in GQA
"qk_norm": True, # Whether to normalize queries & keys in GQA
"n_kv_groups": 8, # Key-Value groups for GQA
"rope_base": 1_000_000.0, # The base in RoPE's "theta"
"dtype": torch.bfloat16, # Lower-precision dtype to reduce memory
}
class Qwen3Model(nn.Module):
def __init__(self, cfg, exact=False):
super().__init__()
# Main model parameters
self.tok_emb = nn.Embedding(cfg["vocab_size"], cfg["emb_dim"], dtype=cfg["dtype"])
self.trf_blocks = nn.ModuleList( # ModuleList since Sequential can only accept one input, and we need `x, mask, cos, sin`
[TransformerBlock(cfg) for _ in range(cfg["n_layers"])]
)
self.final_norm = RMSNorm(cfg["emb_dim"])
self.out_head = nn.Linear(cfg["emb_dim"], cfg["vocab_size"], bias=False, dtype=cfg["dtype"])
# Reusable utilities
if cfg["head_dim"] is None:
head_dim = cfg["emb_dim"] // cfg["n_heads"]
else:
head_dim = cfg["head_dim"]
cos, sin = compute_rope_params(
head_dim=head_dim,
theta_base=cfg["rope_base"],
context_length=cfg["context_length"]
)
self.register_buffer("cos", cos, persistent=False)
self.register_buffer("sin", sin, persistent=False)
self.cfg = cfg
self.exact = exact
self.current_pos = 0 # Track current position in KV cache
def forward(self, in_idx, cache=None):
# Forward pass
tok_embeds = self.tok_emb(in_idx)
x = tok_embeds
num_tokens = x.shape[1]
if cache is not None:
pos_start = self.current_pos
pos_end = pos_start + num_tokens
self.current_pos = pos_end
mask = torch.triu(
torch.full((num_tokens, pos_end), -torch.inf, device=x.device, dtype=self.cfg["dtype"]),
diagonal=1 + pos_start,
)
else:
pos_start = 0 # Not strictly necessary but helps torch.compile
mask = torch.triu(
torch.full((num_tokens, num_tokens), -torch.inf, device=x.device, dtype=self.cfg["dtype"]),
diagonal=1,
)
# Prefill (no cache): mask starts as (num_tokens, num_tokens)
# Cached decoding: mask starts as (num_tokens, prev_k_number_tokens + num_tokens)
#
# We add two leading dimensions so the mask becomes
# (1, 1, num_tokens, num_tokens) during prefill and
# (1, 1, num_tokens, total_key_tokens) during cached decoding.
# These extra dimensions let PyTorch broadcast the same mask
# across all batches and attention heads when applying it to
# attn_scores of shape (batch, num_heads, num_tokens, total_key_tokens).
mask = mask[None, None, :, :] # broadcast mask
for i, block in enumerate(self.trf_blocks):
if cache is not None:
cache.allocate(i, x.size(0))
x = block(
x, mask, self.cos, self.sin,
start_pos=pos_start,
cache=cache,
layer_idx=i,
exact=self.exact,
)
x = self.final_norm(x)
logits = self.out_head(x.to(self.cfg["dtype"]))
return logits
def reset_kv_cache(self):
self.current_pos = 0
class TransformerBlock(nn.Module):
def __init__(self, cfg):
super().__init__()
self.att = GroupedQueryAttention(
d_in=cfg["emb_dim"],
num_heads=cfg["n_heads"],
head_dim=cfg["head_dim"],
num_kv_groups=cfg["n_kv_groups"],
qk_norm=cfg["qk_norm"],
dtype=cfg["dtype"],
)
self.ff = FeedForward(cfg)
self.norm1 = RMSNorm(cfg["emb_dim"], eps=1e-6)
self.norm2 = RMSNorm(cfg["emb_dim"], eps=1e-6)
def forward(self, x, mask, cos, sin, start_pos=0, cache=None, layer_idx=None, exact=False):
# Shortcut connection for attention block
shortcut = x
x = self.norm1(x)
x = self.att(x, mask, cos, sin, start_pos=start_pos, cache=cache, layer_idx=layer_idx, exact=exact)
x = x + shortcut # Add the original input back
# Shortcut connection for feed-forward block
shortcut = x
x = self.norm2(x)
x = self.ff(x)
x = x + shortcut # Add the original input back
return x
class FeedForward(nn.Module):
def __init__(self, cfg):
super().__init__()
self.fc1 = nn.Linear(cfg["emb_dim"], cfg["hidden_dim"], dtype=cfg["dtype"], bias=False)
self.fc2 = nn.Linear(cfg["emb_dim"], cfg["hidden_dim"], dtype=cfg["dtype"], bias=False)
self.fc3 = nn.Linear(cfg["hidden_dim"], cfg["emb_dim"], dtype=cfg["dtype"], bias=False)
def forward(self, x):
x_fc1 = self.fc1(x)
x_fc2 = self.fc2(x)
x = nn.functional.silu(x_fc1) * x_fc2
return self.fc3(x)
class GroupedQueryAttention(nn.Module):
def __init__(
self, d_in, num_heads, num_kv_groups, head_dim=None, qk_norm=False, dtype=None
):
super().__init__()
assert num_heads % num_kv_groups == 0, "num_heads must be divisible by num_kv_groups"
self.num_heads = num_heads
self.num_kv_groups = num_kv_groups
self.group_size = num_heads // num_kv_groups
if head_dim is None:
assert d_in % num_heads == 0, "`d_in` must be divisible by `num_heads` if `head_dim` is not set"
head_dim = d_in // num_heads
self.head_dim = head_dim
self.d_out = num_heads * head_dim
self.W_query = nn.Linear(d_in, self.d_out, bias=False, dtype=dtype)
self.W_key = nn.Linear(d_in, num_kv_groups * head_dim, bias=False, dtype=dtype)
self.W_value = nn.Linear(d_in, num_kv_groups * head_dim, bias=False, dtype=dtype)
self.out_proj = nn.Linear(self.d_out, d_in, bias=False, dtype=dtype)
if qk_norm:
self.q_norm = RMSNorm(head_dim, eps=1e-6)
self.k_norm = RMSNorm(head_dim, eps=1e-6)
else:
self.q_norm = self.k_norm = None
def forward(self, x, mask, cos, sin, start_pos=0, cache=None, layer_idx=None, exact=False):
b, num_tokens, _ = x.shape
# Apply projections
queries = self.W_query(x) # (b, num_tokens, num_heads * head_dim)
keys = self.W_key(x) # (b, num_tokens, num_kv_groups * head_dim)
values = self.W_value(x) # (b, num_tokens, num_kv_groups * head_dim)
# Reshape to heads / kv-groups
queries = queries.view(b, num_tokens, self.num_heads, self.head_dim).transpose(1, 2)
keys_new = keys.view(b, num_tokens, self.num_kv_groups, self.head_dim).transpose(1, 2)
values_new = values.view(b, num_tokens, self.num_kv_groups, self.head_dim).transpose(1, 2)
# Optional normalization
if self.q_norm:
queries = self.q_norm(queries)
if self.k_norm:
keys_new = self.k_norm(keys_new)
# Apply RoPE
queries = apply_rope(queries, cos, sin, offset=start_pos)
keys_new = apply_rope(keys_new, cos, sin, offset=start_pos)
if cache is not None:
if layer_idx is None:
raise ValueError("layer_idx required for KVCache")
cache.append(layer_idx, keys_new, values_new)
keys, values = cache.view(layer_idx)
else:
keys, values = keys_new, values_new
# Expand K and V to match number of heads
if self.group_size > 1:
num_groups, seq_len, head_dim = keys.shape[1], keys.shape[2], keys.shape[3]
keys = keys[:, :, None, :, :].expand(b, num_groups, self.group_size, seq_len, head_dim)
keys = keys.reshape(b, self.num_heads, seq_len, head_dim)
values = values[:, :, None, :, :].expand(b, num_groups, self.group_size, seq_len, head_dim)
values = values.reshape(b, self.num_heads, seq_len, head_dim)
# Attention mask
attn_mask = None
if mask is not None:
attn_mask = mask
if attn_mask.ndim == 2:
attn_mask = attn_mask[None, None, :, :]
elif attn_mask.ndim == 3:
attn_mask = attn_mask[None, :, :, :]
if attn_mask.dtype != queries.dtype:
attn_mask = attn_mask.to(queries.dtype)
# SDPA attention
if exact:
with sdpa_exact():
context = torch.nn.functional.scaled_dot_product_attention(
queries.contiguous(),
keys.contiguous(),
values.contiguous(),
attn_mask=attn_mask,
dropout_p=0.0,
is_causal=False,
)
else:
context = torch.nn.functional.scaled_dot_product_attention(
queries.contiguous(),
keys.contiguous(),
values.contiguous(),
attn_mask=attn_mask,
dropout_p=0.0,
is_causal=False,
)
# Final projection
return self.out_proj(context.transpose(1, 2).reshape(b, num_tokens, self.d_out))
def compute_rope_params(head_dim, theta_base=10_000, context_length=4096, dtype=torch.float32):
assert head_dim % 2 == 0, "Embedding dimension must be even"
# Compute the inverse frequencies
inv_freq = 1.0 / (theta_base ** (torch.arange(0, head_dim, 2, dtype=dtype)[: (head_dim // 2)].float() / head_dim))
# Generate position indices
positions = torch.arange(context_length, dtype=dtype)
# Compute the angles
angles = positions.unsqueeze(1) * inv_freq.unsqueeze(0) # Shape: (context_length, head_dim // 2)
# Expand angles to match the head_dim
angles = torch.cat([angles, angles], dim=1) # Shape: (context_length, head_dim)
# Precompute sine and cosine
cos = torch.cos(angles)
sin = torch.sin(angles)
return cos, sin
def apply_rope(x, cos, sin, offset=0):
# x: (batch_size, num_heads, seq_len, head_dim)
batch_size, num_heads, seq_len, head_dim = x.shape
assert head_dim % 2 == 0, "Head dimension must be even"
# Split x into first half and second half
x1 = x[..., : head_dim // 2] # First half
x2 = x[..., head_dim // 2:] # Second half
# Adjust sin and cos shapes
cos = cos[offset:offset + seq_len, :].unsqueeze(0).unsqueeze(0) # Shape: (1, 1, seq_len, head_dim)
sin = sin[offset:offset + seq_len, :].unsqueeze(0).unsqueeze(0)
# Apply the rotary transformation
rotated = torch.cat((-x2, x1), dim=-1)
x_rotated = (x * cos) + (rotated * sin)
# It's ok to use lower-precision after applying cos and sin rotation
return x_rotated.to(dtype=x.dtype)
class RMSNorm(nn.Module):
def __init__(self, emb_dim, eps=1e-6, bias=False, qwen3_compatible=True):
super().__init__()
self.eps = eps
self.qwen3_compatible = qwen3_compatible
self.scale = nn.Parameter(torch.ones(emb_dim))
self.shift = nn.Parameter(torch.zeros(emb_dim)) if bias else None
def forward(self, x):
input_dtype = x.dtype
if self.qwen3_compatible:
x = x.to(torch.float32)
variance = x.pow(2).mean(dim=-1, keepdim=True)
norm_x = x * torch.rsqrt(variance + self.eps)
norm_x = norm_x * self.scale
if self.shift is not None:
norm_x = norm_x + self.shift
return norm_x.to(input_dtype)
class Qwen3Tokenizer:
_SPECIALS = [
"<|endoftext|>",
"<|im_start|>", "<|im_end|>",
"<|object_ref_start|>", "<|object_ref_end|>",
"<|box_start|>", "<|box_end|>",
"<|quad_start|>", "<|quad_end|>",
"<|vision_start|>", "<|vision_end|>",
"<|vision_pad|>", "<|image_pad|>", "<|video_pad|>",
]
_SPLIT_RE = re.compile(r"(<\|[^>]+?\|>)")
def __init__(self, tokenizer_file_path="tokenizer-base.json",
apply_chat_template=False,
add_generation_prompt=False,
add_thinking=False):
from tokenizers import Tokenizer
self.apply_chat_template = apply_chat_template
self.add_generation_prompt = add_generation_prompt
self.add_thinking = add_thinking
tok_path = Path(tokenizer_file_path)
if not tok_path.is_file():
raise FileNotFoundError(
f"Tokenizer file '{tok_path}' not found. Please ensure it's available."
)
self._tok = Tokenizer.from_file(str(tok_path))
self._special_to_id = {t: self._tok.token_to_id(t) for t in self._SPECIALS}
self.pad_token = "<|endoftext|>"
self.pad_token_id = self._special_to_id.get(self.pad_token)
# Match HF behavior: chat model → <|im_end|>, base model → <|endoftext|>
fname = tok_path.name.lower()
if "base" in fname and "reasoning" not in fname:
self.eos_token = "<|endoftext|>"
else:
self.eos_token = "<|im_end|>"
self.eos_token_id = self._special_to_id.get(self.eos_token)
def encode(self, prompt, chat_wrapped=None):
if chat_wrapped is None:
chat_wrapped = self.apply_chat_template
stripped = prompt.strip()
if stripped in self._special_to_id and "\n" not in stripped:
return [self._special_to_id[stripped]]
if chat_wrapped:
prompt = self._wrap_chat(prompt)
ids = []
for part in filter(None, self._SPLIT_RE.split(prompt)):
if part in self._special_to_id:
ids.append(self._special_to_id[part])
else:
ids.extend(self._tok.encode(part).ids)
return ids
def decode(self, token_ids):
return self._tok.decode(token_ids, skip_special_tokens=False)
def _wrap_chat(self, user_msg):
s = f"<|im_start|>user\n{user_msg}<|im_end|>\n"
if self.add_generation_prompt:
s += "<|im_start|>assistant"
if self.add_thinking:
s += "\n" # insert no <think> tag, just a new line
else:
s += "\n<think>\n\n</think>\n\n"
return s
class KVCache:
def __init__(self, n_layers, max_len, num_kv_groups, head_dim, device, dtype):
self.k = [None] * n_layers
self.v = [None] * n_layers
self.len = [0] * n_layers
self.max_len = max_len
self.num_kv_groups = num_kv_groups
self.head_dim = head_dim
self.device = device
self.dtype = dtype
def allocate(self, layer_idx, b):
if self.k[layer_idx] is None:
self.k[layer_idx] = torch.empty(b, self.num_kv_groups, self.max_len, self.head_dim,
device=self.device, dtype=self.dtype)
self.v[layer_idx] = torch.empty(b, self.num_kv_groups, self.max_len, self.head_dim,
device=self.device, dtype=self.dtype)
self.len[layer_idx] = 0
def append(self, layer_idx, k_new, v_new):
L = self.len[layer_idx]
T = k_new.shape[2]
self.k[layer_idx][:, :, L:L+T, :].copy_(k_new)
self.v[layer_idx][:, :, L:L+T, :].copy_(v_new)
self.len[layer_idx] = L + T
def view(self, layer_idx):
L = self.len[layer_idx]
return self.k[layer_idx][:, :, :L, :], self.v[layer_idx][:, :, :L, :]
def reset(self):
for i in range(len(self.k)):
self.k[i] = self.v[i] = None
self.len[i] = 0
def download_qwen3_small(kind="base", tokenizer_only=False, out_dir="."):
files = {
"base": {"model": "qwen3-0.6B-base.pth", "tokenizer": "tokenizer-base.json"},
"reasoning": {"model": "qwen3-0.6B-reasoning.pth", "tokenizer": "tokenizer-reasoning.json"},
}
if kind not in files:
raise ValueError("kind must be 'base' or 'reasoning'")
repo = "rasbt/qwen3-from-scratch"
hf_fmt = "https://huggingface.co/{repo}/resolve/main/{file}"
backup_root = "https://f001.backblazeb2.com/file/reasoning-from-scratch/qwen3-0.6B"
targets = ["tokenizer"] if tokenizer_only else ["model", "tokenizer"]
for key in targets:
fname = files[kind][key]
primary = hf_fmt.format(repo=repo, file=fname)
backup = f"{backup_root}/{fname}"
download_file(primary, out_dir=out_dir, backup_url=backup)
def load_hf_weights_into_qwen(model, param_config, params):
"""
Only used in Appendix D for loading the other Qwen3 variants.
"""
def assign(left, right, tensor_name="unknown"):
if left.shape != right.shape:
raise ValueError(f"Shape mismatch in tensor '{tensor_name}'. Left: {left.shape}, Right: {right.shape}")
return torch.nn.Parameter(right.clone().detach() if isinstance(right, torch.Tensor) else torch.tensor(right))
model.tok_emb.weight = assign(model.tok_emb.weight, params["model.embed_tokens.weight"], "model.embed_tokens.weight")
for l in range(param_config["n_layers"]): # noqa: E741
block = model.trf_blocks[l]
att = block.att
# Q, K, V projections
att.W_query.weight = assign(
att.W_query.weight,
params[f"model.layers.{l}.self_attn.q_proj.weight"],
f"model.layers.{l}.self_attn.q_proj.weight"
)
att.W_key.weight = assign(
att.W_key.weight,
params[f"model.layers.{l}.self_attn.k_proj.weight"],
f"model.layers.{l}.self_attn.k_proj.weight"
)
att.W_value.weight = assign(
att.W_value.weight,
params[f"model.layers.{l}.self_attn.v_proj.weight"],
f"model.layers.{l}.self_attn.v_proj.weight"
)
# Output projection
att.out_proj.weight = assign(
att.out_proj.weight,
params[f"model.layers.{l}.self_attn.o_proj.weight"],
f"model.layers.{l}.self_attn.o_proj.weight"
)
# QK norms
if hasattr(att, "q_norm") and att.q_norm is not None:
att.q_norm.scale = assign(
att.q_norm.scale,
params[f"model.layers.{l}.self_attn.q_norm.weight"],
f"model.layers.{l}.self_attn.q_norm.weight"
)
if hasattr(att, "k_norm") and att.k_norm is not None:
att.k_norm.scale = assign(
att.k_norm.scale,
params[f"model.layers.{l}.self_attn.k_norm.weight"],
f"model.layers.{l}.self_attn.k_norm.weight"
)
# Attention layernorm
block.norm1.scale = assign(
block.norm1.scale,
params[f"model.layers.{l}.input_layernorm.weight"],
f"model.layers.{l}.input_layernorm.weight"
)
# Feedforward weights
if "num_experts" in param_config:
# Load router (gating) weights
block.ff.gate.weight = assign(
block.ff.gate.weight,
params[f"model.layers.{l}.mlp.gate.weight"],
f"model.layers.{l}.mlp.gate.weight"
)
# Load expert weights
for e in range(param_config["num_experts"]):
prefix = f"model.layers.{l}.mlp.experts.{e}"
block.ff.fc1[e].weight = assign(
block.ff.fc1[e].weight,
params[f"{prefix}.gate_proj.weight"],
f"{prefix}.gate_proj.weight"
)
block.ff.fc2[e].weight = assign(
block.ff.fc2[e].weight,
params[f"{prefix}.up_proj.weight"],
f"{prefix}.up_proj.weight"
)
block.ff.fc3[e].weight = assign(
block.ff.fc3[e].weight,
params[f"{prefix}.down_proj.weight"],
f"{prefix}.down_proj.weight"
)
# After assigning weights, move the expert layers from meta to CPU
block.ff.fc1[e] = block.ff.fc1[e].to("cpu")
block.ff.fc2[e] = block.ff.fc2[e].to("cpu")
block.ff.fc3[e] = block.ff.fc3[e].to("cpu")
else:
block.ff.fc1.weight = assign(
block.ff.fc1.weight,
params[f"model.layers.{l}.mlp.gate_proj.weight"],
f"model.layers.{l}.mlp.gate_proj.weight"
)
block.ff.fc2.weight = assign(
block.ff.fc2.weight,
params[f"model.layers.{l}.mlp.up_proj.weight"],
f"model.layers.{l}.mlp.up_proj.weight"
)
block.ff.fc3.weight = assign(
block.ff.fc3.weight,
params[f"model.layers.{l}.mlp.down_proj.weight"],
f"model.layers.{l}.mlp.down_proj.weight"
)
block.norm2.scale = assign(
block.norm2.scale,
params[f"model.layers.{l}.post_attention_layernorm.weight"],
f"model.layers.{l}.post_attention_layernorm.weight"
)
# Final normalization and output head
model.final_norm.scale = assign(model.final_norm.scale, params["model.norm.weight"], "model.norm.weight")
if "lm_head.weight" in params:
model.out_head.weight = assign(model.out_head.weight, params["lm_head.weight"], "lm_head.weight")
else:
# Model uses weight tying, hence we reuse the embedding layer weights here
print("Model uses weight tying.")
model.out_head.weight = assign(model.out_head.weight, params["model.embed_tokens.weight"], "model.embed_tokens.weight")
@torch.inference_mode()
def generate_text_basic_cache(
model,
token_ids,
max_new_tokens,
eos_token_id=None
):
input_length = token_ids.shape[1]
model.eval()
cache = KVCache(
n_layers=model.cfg["n_layers"],
max_len=model.cfg["context_length"],
num_kv_groups=model.cfg["n_kv_groups"],
head_dim=model.cfg["head_dim"],
device=next(model.parameters()).device,
dtype=model.cfg["dtype"],
)
model.reset_kv_cache()
out = model(token_ids, cache=cache)[:, -1]
generated_tokens = []
for _ in range(max_new_tokens):
next_token = torch.argmax(out, dim=-1, keepdim=True)
if (eos_token_id is not None
and torch.all(next_token == eos_token_id)):
break
generated_tokens.append(next_token)
out = model(next_token, cache=cache)[:, -1]
if generated_tokens:
return torch.cat(generated_tokens, dim=1)
return token_ids[:, input_length:]
@contextlib.contextmanager
def sdpa_exact():
try:
from torch.nn.attention import sdpa_kernel, SDPBackend
with sdpa_kernel(SDPBackend.MATH):
yield
except Exception:
# Deprecated, but to support older PyTorch versions
with torch.backends.cuda.sdp_kernel(
enable_flash=False, enable_mem_efficient=False, enable_math=True
):
yield
def load_model_and_tokenizer(which_model, device, use_compile, local_dir="qwen3"):
if which_model == "base":
download_qwen3_small(
kind="base", tokenizer_only=False, out_dir=local_dir
)
tokenizer_path = Path(local_dir) / "tokenizer-base.json"
model_path = Path(local_dir) / "qwen3-0.6B-base.pth"
tokenizer = Qwen3Tokenizer(tokenizer_file_path=tokenizer_path)
elif which_model == "reasoning":
download_qwen3_small(
kind="reasoning", tokenizer_only=False, out_dir=local_dir
)
tokenizer_path = Path(local_dir) / "tokenizer-reasoning.json"
model_path = Path(local_dir) / "qwen3-0.6B-reasoning.pth"
tokenizer = Qwen3Tokenizer(
tokenizer_file_path=tokenizer_path,
apply_chat_template=True,
add_generation_prompt=True,
add_thinking=True,
)
else:
raise ValueError(f"Invalid choice: which_model={which_model}")
model = Qwen3Model(QWEN_CONFIG_06_B)
model.load_state_dict(torch.load(model_path))
model.to(device)
if use_compile:
torch._dynamo.config.allow_unspec_int_on_nn_module = True
model = torch.compile(model)
return model, tokenizer