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import math
from dataclasses import dataclass
from typing import Tuple, Optional, Literal
import torch
from torch import nn
import torch.nn.functional as F
import torch.distributed as dist
from kernel import act_quant, weight_dequant, fp8_gemm
world_size = 1
rank = 0
block_size = 128
gemm_impl: Literal["bf16", "fp8"] = "bf16"
attn_impl: Literal["naive", "absorb"] = "absorb"
@dataclass
class ModelArgs:
max_batch_size: int = 8
max_seq_len: int = 4096 * 4
dtype: Literal["bf16", "fp8"] = "bf16"
vocab_size: int = 102400
dim: int = 2048
inter_dim: int = 10944
moe_inter_dim: int = 1408
n_layers: int = 27
n_dense_layers: int = 1
n_heads: int = 16
# moe
n_routed_experts: int = 64
n_shared_experts: int = 2
n_activated_experts: int = 6
n_expert_groups: int = 1
n_limited_groups: int = 1
score_func: Literal["softmax", "sigmoid"] = "softmax"
route_scale: float = 1.
# mla
q_lora_rank: int = 0
kv_lora_rank: int = 512
qk_nope_head_dim: int = 128
qk_rope_head_dim: int = 64
v_head_dim: int = 128
# yarn
original_seq_len: int = 4096
rope_theta: float = 10000.0
rope_factor: float = 40
beta_fast: int = 32
beta_slow: int = 1
mscale: float = 1.
class ParallelEmbedding(nn.Module):
def __init__(self, vocab_size: int, dim: int):
super().__init__()
self.vocab_size = vocab_size
self.dim = dim
assert vocab_size % world_size == 0
self.part_vocab_size = (vocab_size // world_size)
self.vocab_start_idx = rank * self.part_vocab_size
self.vocab_end_idx = self.vocab_start_idx + self.part_vocab_size
self.weight = nn.Parameter(torch.empty(self.part_vocab_size, self.dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
if world_size > 1:
mask = (x < self.vocab_start_idx) | (x >= self.vocab_end_idx)
x = x - self.vocab_start_idx
x[mask] = 0
y = F.embedding(x, self.weight)
if world_size > 1:
y[mask] = 0
dist.all_reduce(y)
return y
def linear(x: torch.Tensor, weight: torch.Tensor, bias: Optional[torch.Tensor] = None) -> torch.Tensor:
if weight.element_size() > 1:
return F.linear(x, weight, bias)
elif gemm_impl == "bf16":
weight = weight_dequant(weight, weight.scale)
return F.linear(x, weight, bias)
else:
x, scale = act_quant(x, block_size)
y = fp8_gemm(x, scale, weight, weight.scale)
if bias is not None:
y += bias
return y
class Linear(nn.Module):
dtype = torch.bfloat16
def __init__(self, in_features: int, out_features: int, bias: bool = False, dtype = None):
super().__init__()
self.in_features = in_features
self.out_features = out_features
self.weight = nn.Parameter(torch.empty(out_features, in_features, dtype=dtype or Linear.dtype))
if self.weight.element_size() == 1:
scale_out_features = (out_features + block_size - 1) // block_size
scale_in_features = (in_features + block_size - 1) // block_size
self.weight.scale = self.scale = nn.Parameter(torch.empty(scale_out_features, scale_in_features, dtype=torch.float32))
else:
self.register_parameter("scale", None)
if bias:
self.bias = nn.Parameter(torch.empty(self.part_out_features))
else:
self.register_parameter("bias", None)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return linear(x, self.weight, self.bias)
class ColumnParallelLinear(Linear):
def __init__(self, in_features: int, out_features: int, bias: bool = False, dtype = None):
assert out_features % world_size == 0
self.part_out_features = out_features // world_size
super().__init__(in_features, self.part_out_features, bias, dtype)
def forward(self, x: torch.Tensor) -> torch.Tensor:
y = linear(x, self.weight, self.bias)
return y
class RowParallelLinear(Linear):
def __init__(self, in_features: int, out_features: int, bias: bool = False, dtype = None):
assert in_features % world_size == 0
self.part_in_features = in_features // world_size
super().__init__(self.part_in_features, out_features, bias, dtype)
def forward(self, x: torch.Tensor) -> torch.Tensor:
y = linear(x, self.weight)
if world_size > 1:
dist.all_reduce(y)
if self.bias is not None:
y += self.bias
return y
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):
x = x.float()
y = x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps)
return y.type_as(self.weight) * self.weight
def precompute_freqs_cis(args: ModelArgs) -> torch.Tensor:
dim = args.qk_rope_head_dim
seqlen = args.max_seq_len
beta_fast = args.beta_fast
beta_slow = args.beta_slow
base = args.rope_theta
factor = args.rope_factor
def find_correction_dim(num_rotations, dim, base, max_seq_len):
return dim * math.log(max_seq_len / (num_rotations * 2 * math.pi)) / (2 * math.log(base))
def find_correction_range(low_rot, high_rot, dim, base, max_seq_len):
low = math.floor(find_correction_dim(low_rot, dim, base, max_seq_len))
high = math.ceil(find_correction_dim(high_rot, dim, base, max_seq_len))
return max(low, 0), min(high, dim-1)
def linear_ramp_factor(min, max, dim):
if min == max:
max += 0.001
linear_func = (torch.arange(dim, dtype=torch.float32) - min) / (max - min)
ramp_func = torch.clamp(linear_func, 0, 1)
return ramp_func
freqs = 1.0 / (base ** (torch.arange(0, dim, 2, dtype=torch.float32) / dim))
if seqlen > args.original_seq_len:
low, high = find_correction_range(beta_fast, beta_slow, dim, base, args.original_seq_len)
smooth = 1 - linear_ramp_factor(low, high, dim // 2)
freqs = freqs / factor * (1 - smooth) + freqs * smooth
t = torch.arange(seqlen)
freqs = torch.outer(t, freqs)
freqs_cis = torch.polar(torch.ones_like(freqs), freqs)
return freqs_cis
def apply_rotary_emb(x: torch.Tensor, freqs_cis: torch.Tensor) -> torch.Tensor:
dtype = x.dtype
x = torch.view_as_complex(x.float().view(*x.shape[:-1], -1, 2))
freqs_cis = freqs_cis.view(1, x.size(1), 1, x.size(-1))
y = torch.view_as_real(x * freqs_cis).flatten(3)
return y.to(dtype)
class MLA(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.dim = args.dim
self.n_heads = args.n_heads
self.n_local_heads = args.n_heads // world_size
self.q_lora_rank = args.q_lora_rank
self.kv_lora_rank = args.kv_lora_rank
self.qk_nope_head_dim = args.qk_nope_head_dim
self.qk_rope_head_dim = args.qk_rope_head_dim
self.qk_head_dim = args.qk_nope_head_dim + args.qk_rope_head_dim
self.v_head_dim = args.v_head_dim
if self.q_lora_rank == 0:
self.wq = ColumnParallelLinear(self.dim, self.n_heads * self.qk_head_dim)
else:
self.wq_a = Linear(self.dim, self.q_lora_rank)
self.q_norm = RMSNorm(self.q_lora_rank)
self.wq_b = ColumnParallelLinear(self.q_lora_rank, self.n_heads * self.qk_head_dim)
self.wkv_a = Linear(self.dim, self.kv_lora_rank + self.qk_rope_head_dim)
self.kv_norm = RMSNorm(self.kv_lora_rank)
self.wkv_b = ColumnParallelLinear(self.kv_lora_rank, self.n_heads * (self.qk_nope_head_dim + self.v_head_dim))
self.wo = RowParallelLinear(self.n_heads * self.v_head_dim, self.dim)
self.softmax_scale = self.qk_head_dim ** -0.5
if args.max_seq_len > args.original_seq_len:
mscale = 0.1 * args.mscale * math.log(args.rope_factor) + 1.0
self.softmax_scale = self.softmax_scale * mscale * mscale
if attn_impl == "naive":
self.register_buffer("k_cache", torch.zeros(args.max_batch_size, args.max_seq_len, self.n_local_heads, self.qk_head_dim), persistent=False)
self.register_buffer("v_cache", torch.zeros(args.max_batch_size, args.max_seq_len, self.n_local_heads, self.v_head_dim), persistent=False)
else:
self.register_buffer("kv_cache", torch.zeros(args.max_batch_size, args.max_seq_len, self.kv_lora_rank), persistent=False)
self.register_buffer("pe_cache", torch.zeros(args.max_batch_size, args.max_seq_len, self.qk_rope_head_dim), persistent=False)
def forward(self, x: torch.Tensor, start_pos: int, freqs_cis: torch.Tensor, mask: Optional[torch.Tensor]):
bsz, seqlen, _ = x.size()
end_pos = start_pos + seqlen
if self.q_lora_rank == 0:
q = self.wq(x)
else:
q = self.wq_b(self.q_norm(self.wq_a(x)))
q = q.view(bsz, seqlen, self.n_local_heads, self.qk_head_dim)
q_nope, q_pe = torch.split(q, [self.qk_nope_head_dim, self.qk_rope_head_dim], dim=-1)
q_pe = apply_rotary_emb(q_pe, freqs_cis)
kv = self.wkv_a(x)
kv, k_pe = torch.split(kv, [self.kv_lora_rank, self.qk_rope_head_dim], dim=-1)
k_pe = apply_rotary_emb(k_pe.unsqueeze(2), freqs_cis)
if attn_impl == "naive":
q = torch.cat([q_nope, q_pe], dim=-1)
kv = self.wkv_b(self.kv_norm(kv))
kv = kv.view(bsz, seqlen, self.n_local_heads, self.qk_nope_head_dim + self.v_head_dim)
k_nope, v = torch.split(kv, [self.qk_nope_head_dim, self.v_head_dim], dim=-1)
k = torch.cat([k_nope, k_pe.expand(-1, -1, self.n_local_heads, -1)], dim=-1)
self.k_cache[:bsz, start_pos:end_pos] = k
self.v_cache[:bsz, start_pos:end_pos] = v
scores = torch.einsum("bshd,bthd->bsht", q, self.k_cache[:bsz, :end_pos]) * self.softmax_scale
else:
wkv_b = self.wkv_b.weight if self.wkv_b.scale is None else weight_dequant(self.wkv_b.weight, self.wkv_b.scale, block_size)
wkv_b = wkv_b.view(self.n_local_heads, -1, self.kv_lora_rank)
q_nope = torch.einsum("bshd,hdc->bshc", q_nope, wkv_b[:, :self.qk_nope_head_dim])
self.kv_cache[:bsz, start_pos:end_pos] = self.kv_norm(kv)
self.pe_cache[:bsz, start_pos:end_pos] = k_pe.squeeze(2)
scores = (torch.einsum("bshc,btc->bsht", q_nope, self.kv_cache[:bsz, :end_pos]) +
torch.einsum("bshr,btr->bsht", q_pe, self.pe_cache[:bsz, :end_pos])) * self.softmax_scale
if mask is not None:
scores += mask.unsqueeze(1)
scores = scores.softmax(dim=-1, dtype=torch.float32).type_as(x)
if attn_impl == "naive":
x = torch.einsum("bsht,bthd->bshd", scores, self.v_cache[:bsz, :end_pos])
else:
x = torch.einsum("bsht,btc->bshc", scores, self.kv_cache[:bsz, :end_pos])
x = torch.einsum("bshc,hdc->bshd", x, wkv_b[:, -self.v_head_dim:])
x = self.wo(x.flatten(2))
return x
class MLP(nn.Module):
def __init__(self, dim: int, inter_dim: int):
super().__init__()
self.w1 = ColumnParallelLinear(dim, inter_dim)
self.w2 = RowParallelLinear(inter_dim, dim)
self.w3 = ColumnParallelLinear(dim, inter_dim)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.w2(F.silu(self.w1(x)) * self.w3(x))
class Gate(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.dim = args.dim
self.topk = args.n_activated_experts
self.n_groups = args.n_expert_groups
self.topk_groups = args.n_limited_groups
self.score_func = args.score_func
self.route_scale = args.route_scale
self.weight = nn.Parameter(torch.empty(args.n_routed_experts, args.dim))
self.bias = nn.Parameter(torch.empty(args.n_routed_experts)) if self.dim == 7168 else None
def forward(self, x: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
scores = linear(x, self.weight)
if self.score_func == "softmax":
scores = scores.softmax(dim=-1, dtype=torch.float32)
else:
scores = scores.sigmoid()
original_scores = scores
if self.bias is not None:
scores = scores + self.bias
if self.n_groups > 1:
scores = scores.view(x.size(0), self.n_groups, -1)
if self.bias is None:
group_scores = scores.amax(dim=-1)
else:
group_scores = scores.topk(2, dim=-1)[0].sum(dim=-1)
indices = group_scores.topk(self.topk_groups, dim=-1)[1]
mask = torch.zeros_like(scores[..., 0]).scatter_(1, indices, True)
scores = (scores * mask.unsqueeze(-1)).flatten(1)
indices = torch.topk(scores, self.topk, dim=-1)[1]
weights = original_scores.gather(1, indices)
if self.score_func == "sigmoid":
weights /= weights.sum(dim=-1, keepdim=True)
weights *= self.route_scale
return weights.type_as(x), indices
class Expert(nn.Module):
def __init__(self, dim: int, inter_dim: int):
super().__init__()
self.w1 = Linear(dim, inter_dim)
self.w2 = Linear(inter_dim, dim)
self.w3 = Linear(dim, inter_dim)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.w2(F.silu(self.w1(x)) * self.w3(x))
class MoE(nn.Module):
def __init__(self, args: ModelArgs):
super().__init__()
self.dim = args.dim
assert args.n_routed_experts % world_size == 0
self.n_routed_experts = args.n_routed_experts
self.n_local_experts = args.n_routed_experts // world_size
self.n_activated_experts = args.n_activated_experts
self.experts_start_idx = rank * self.n_local_experts
self.experts_end_idx = self.experts_start_idx + self.n_local_experts
self.gate = Gate(args)
self.experts = nn.ModuleList([Expert(args.dim, args.moe_inter_dim) if self.experts_start_idx <= i < self.experts_end_idx else None
for i in range(self.n_routed_experts)])
self.shared_experts = MLP(args.dim, args.n_shared_experts * args.moe_inter_dim)
def forward(self, x: torch.Tensor) -> torch.Tensor:
shape = x.size()
x = x.view(-1, self.dim)
weights, indices = self.gate(x)
y = torch.zeros_like(x)
counts = torch.bincount(indices.flatten(), minlength=self.n_routed_experts).tolist()
for i in range(self.experts_start_idx, self.experts_end_idx):
if counts[i] == 0:
continue
expert = self.experts[i]
idx, top = torch.where(indices == i)
y[idx] += expert(x[idx]) * weights[idx, top, None]
z = self.shared_experts(x)
if world_size > 1:
dist.all_reduce(y)
return (y + z).view(shape)
class Block(nn.Module):
def __init__(self, layer_id: int, args: ModelArgs):
super().__init__()
self.attn = MLA(args)
self.ffn = MLP(args.dim, args.inter_dim) if layer_id < args.n_dense_layers else MoE(args)
self.attn_norm = RMSNorm(args.dim)
self.ffn_norm = RMSNorm(args.dim)
def forward(self, x: torch.Tensor, start_pos: int, freqs_cis: torch.Tensor, mask: Optional[torch.Tensor]) -> torch.Tensor:
x = x + self.attn(self.attn_norm(x), start_pos, freqs_cis, mask)
x = x + self.ffn(self.ffn_norm(x))
return x
class Transformer(nn.Module):
def __init__(self, args: ModelArgs):
global world_size, rank
world_size = dist.get_world_size() if dist.is_initialized() else 1
rank = dist.get_rank() if dist.is_initialized() else 0
Linear.dtype = torch.float8_e4m3fn if args.dtype == "fp8" else torch.bfloat16
super().__init__()
self.max_seq_len = args.max_seq_len
self.embed = ParallelEmbedding(args.vocab_size, args.dim)
self.layers = torch.nn.ModuleList()
for layer_id in range(args.n_layers):
self.layers.append(Block(layer_id, args))
self.norm = RMSNorm(args.dim)
self.head = ColumnParallelLinear(args.dim, args.vocab_size, dtype=torch.get_default_dtype())
self.register_buffer("freqs_cis", precompute_freqs_cis(args), persistent=False)
@torch.inference_mode()
def forward(self, tokens: torch.Tensor, start_pos: int = 0):
seqlen = tokens.size(1)
h = self.embed(tokens)
freqs_cis = self.freqs_cis[start_pos:start_pos+seqlen]
mask = None
if seqlen > 1:
mask = torch.full((seqlen, seqlen), float("-inf"), device=tokens.device).triu_(1)
for layer in self.layers:
h = layer(h, start_pos, freqs_cis, mask)
h = self.norm(h)[:, -1]
logits = self.head(h)
if world_size > 1:
all_logits = [torch.empty_like(logits) for _ in range(world_size)]
dist.all_gather(all_logits, logits)
logits = torch.cat(all_logits, dim=-1)
return logits
if __name__ == "__main__":
torch.set_default_dtype(torch.bfloat16)
torch.set_default_device("cuda")
torch.manual_seed(0)
args = ModelArgs()
x = torch.randint(0, args.vocab_size, (2, 128))
model = Transformer(args)
print(model(x).size())
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