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0e3d4b8 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 | """Neural network layers for SplitBit LLM — pure NumPy implementation.
Layers:
- Embedding (token ID → dense vector)
- Multi-head self-attention with RoPE
- Feed-forward network (MLP with GELU)
- Layer normalization (pre-norm)
- KV cache for fast autoregressive generation
All weights stored as NumPy arrays, quantized via SplitBitQuantizer.
"""
from __future__ import annotations
import logging
import math
from typing import Any
import numpy as np
from .quantization import SplitBitQuantizer
logger = logging.getLogger(__name__)
def gelu(x: np.ndarray) -> np.ndarray:
"""GELU activation — Gaussian Error Linear Unit."""
return 0.5 * x * (1.0 + np.tanh(math.sqrt(2.0 / math.pi) * (x + 0.044715 * x ** 3)))
def softmax(x: np.ndarray, axis: int = -1) -> np.ndarray:
"""Numerically stable softmax."""
x_max = np.max(x, axis=axis, keepdims=True)
exp_x = np.exp(x - x_max)
return exp_x / np.sum(exp_x, axis=axis, keepdims=True)
def layer_norm(x: np.ndarray, gamma: np.ndarray, beta: np.ndarray, eps: float = 1e-5) -> np.ndarray:
"""Layer normalization."""
mean = np.mean(x, axis=-1, keepdims=True)
var = np.var(x, axis=-1, keepdims=True)
return gamma * (x - mean) / np.sqrt(var + eps) + beta
def rope(pos: np.ndarray, d_head: int, base: float = 10000.0) -> tuple[np.ndarray, np.ndarray]:
"""Rotary Position Embedding (RoPE).
Returns cos and sin tensors for rotating Q and K.
"""
inv_freq = 1.0 / (base ** (np.arange(0, d_head, 2) / d_head))
# pos: [seq_len], inv_freq: [d_head/2]
freqs = np.outer(pos, inv_freq) # [seq_len, d_head/2]
cos = np.cos(freqs)
sin = np.sin(freqs)
# Repeat to match d_head
cos = np.repeat(cos, 2, axis=-1) # [seq_len, d_head]
sin = np.repeat(sin, 2, axis=-1)
return cos, sin
def apply_rope(x: np.ndarray, cos: np.ndarray, sin: np.ndarray) -> np.ndarray:
"""Apply rotary embedding to tensor x.
x: [batch, n_heads, seq_len, d_head]
cos/sin: [seq_len, d_head]
"""
x1 = x[..., 0::2] # even indices
x2 = x[..., 1::2] # odd indices
# Rotate
cos = cos[None, None, :, :] # [1, 1, seq_len, d_head]
sin = sin[None, None, :, :]
rotated = np.empty_like(x)
rotated[..., 0::2] = x1 * cos[..., 0::2] - x2 * sin[..., 0::2]
rotated[..., 1::2] = x1 * sin[..., 1::2] + x2 * cos[..., 1::2]
return rotated
class Embedding:
"""Token embedding layer."""
def __init__(self, vocab_size: int, d_model: int) -> None:
# Xavier/Glorot initialization
std = math.sqrt(2.0 / (vocab_size + d_model))
self.weight = np.random.randn(vocab_size, d_model).astype(np.float32) * std
self.d_model = d_model
self.vocab_size = vocab_size
def forward(self, token_ids: np.ndarray) -> np.ndarray:
"""token_ids: [batch, seq_len] → [batch, seq_len, d_model]"""
return self.weight[token_ids]
def backward(self, grad: np.ndarray, token_ids: np.ndarray) -> np.ndarray:
"""Gradient w.r.t. embedding weights."""
grad_weight = np.zeros_like(self.weight)
np.add.at(grad_weight, token_ids, grad)
return grad_weight
class Linear:
"""Linear layer: y = x @ W^T + b, with SplitBit quantization support."""
def __init__(self, in_features: int, out_features: int, bias: bool = True) -> None:
std = math.sqrt(2.0 / (in_features + out_features))
self.weight = np.random.randn(out_features, in_features).astype(np.float32) * std
self.bias = np.zeros(out_features, dtype=np.float32) if bias else None
self.in_features = in_features
self.out_features = out_features
self.use_bias = bias
self._quantized = None
def quantize(self, quantizer: SplitBitQuantizer) -> None:
"""Quantize weights for storage/inference."""
self._quantized = {
"weight": quantizer.quantize(self.weight),
"bias": self.bias.copy() if self.bias is not None else None,
}
def dequantize(self) -> None:
"""Restore full-precision weights."""
self._quantized = None
def forward(self, x: np.ndarray) -> np.ndarray:
"""x: [..., in_features] → [..., out_features]"""
w = self.weight
out = x @ w.T
if self.bias is not None:
out = out + self.bias
return out
def forward_with_cache(self, x: np.ndarray, kv_cache: dict | None = None, layer_idx: int = 0,
is_kv: bool = False) -> np.ndarray:
"""Forward pass that optionally uses/appends to KV cache."""
return self.forward(x)
class MultiHeadAttention:
"""Multi-head self-attention with RoPE and KV cache."""
def __init__(self, d_model: int, n_heads: int, max_seq_len: int = 512) -> None:
self.d_model = d_model
self.n_heads = n_heads
self.d_head = d_model // n_heads
self.max_seq_len = max_seq_len
self.wq = Linear(d_model, d_model, bias=False)
self.wk = Linear(d_model, d_model, bias=False)
self.wv = Linear(d_model, d_model, bias=False)
self.wo = Linear(d_model, d_model, bias=False)
# Precompute RoPE
pos = np.arange(max_seq_len, dtype=np.float32)
self._cos, self._sin = rope(pos, self.d_head)
# KV cache: {layer_idx: (k, v)}
self._kv_cache: dict[int, tuple[np.ndarray, np.ndarray]] = {}
def forward(
self,
x: np.ndarray,
layer_idx: int = 0,
use_cache: bool = False,
past_len: int = 0,
) -> np.ndarray:
"""
x: [batch, seq_len, d_model]
Returns: [batch, seq_len, d_model]
"""
batch, seq_len, _ = x.shape
# Project to Q, K, V
q = self.wq.forward(x) # [batch, seq_len, d_model]
k = self.wk.forward(x)
v = self.wv.forward(x)
# Reshape to [batch, n_heads, seq_len, d_head]
q = q.reshape(batch, seq_len, self.n_heads, self.d_head).transpose(0, 2, 1, 3)
k = k.reshape(batch, seq_len, self.n_heads, self.d_head).transpose(0, 2, 1, 3)
v = v.reshape(batch, seq_len, self.n_heads, self.d_head).transpose(0, 2, 1, 3)
# Apply RoPE to Q and K
pos_start = past_len
pos_end = past_len + seq_len
if pos_end > self.max_seq_len:
# Extend RoPE tables dynamically
pos = np.arange(pos_end, dtype=np.float32)
cos_ext, sin_ext = rope(pos, self.d_head)
cos = cos_ext[pos_start:pos_end]
sin = sin_ext[pos_start:pos_end]
self._cos = cos_ext
self._sin = sin_ext
else:
cos = self._cos[pos_start:pos_end]
sin = self._sin[pos_start:pos_end]
q = apply_rope(q, cos, sin)
k = apply_rope(k, cos, sin)
# KV cache
if use_cache:
if layer_idx in self._kv_cache:
past_k, past_v = self._kv_cache[layer_idx]
k = np.concatenate([past_k, k], axis=2)
v = np.concatenate([past_v, v], axis=2)
self._kv_cache[layer_idx] = (k, v)
# Scaled dot-product attention
# q: [batch, n_heads, seq_len, d_head]
# k: [batch, n_heads, total_len, d_head]
scores = q @ k.transpose(0, 1, 3, 2) / math.sqrt(self.d_head)
# Causal mask
total_len = k.shape[2]
causal = np.triu(np.ones((seq_len, total_len), dtype=bool), k=total_len - seq_len)
scores = np.where(causal[None, None, :, :], -1e9, scores)
attn = softmax(scores, axis=-1)
# Apply attention to V
out = attn @ v # [batch, n_heads, seq_len, d_head]
out = out.transpose(0, 2, 1, 3).reshape(batch, seq_len, self.d_model)
return self.wo.forward(out)
def reset_cache(self) -> None:
self._kv_cache.clear()
class FeedForward:
"""Feed-forward network: 2-layer MLP with GELU."""
def __init__(self, d_model: int, d_ff: int) -> None:
self.w1 = Linear(d_model, d_ff, bias=False)
self.w2 = Linear(d_ff, d_model, bias=False)
def forward(self, x: np.ndarray) -> np.ndarray:
"""x: [..., d_model] → [..., d_model]"""
return self.w2.forward(gelu(self.w1.forward(x)))
class TransformerLayer:
"""Single transformer layer: pre-norm attention + pre-norm FFN."""
def __init__(self, d_model: int, n_heads: int, d_ff: int, max_seq_len: int = 512) -> None:
self.attn = MultiHeadAttention(d_model, n_heads, max_seq_len)
self.ffn = FeedForward(d_model, d_ff)
# Layer norm parameters
self.ln1_gamma = np.ones(d_model, dtype=np.float32)
self.ln1_beta = np.zeros(d_model, dtype=np.float32)
self.ln2_gamma = np.ones(d_model, dtype=np.float32)
self.ln2_beta = np.zeros(d_model, dtype=np.float32)
def forward(
self,
x: np.ndarray,
layer_idx: int = 0,
use_cache: bool = False,
past_len: int = 0,
) -> np.ndarray:
"""Pre-norm transformer layer."""
# Attention with residual
normed = layer_norm(x, self.ln1_gamma, self.ln1_beta)
attn_out = self.attn.forward(normed, layer_idx=layer_idx, use_cache=use_cache, past_len=past_len)
x = x + attn_out
# FFN with residual
normed = layer_norm(x, self.ln2_gamma, self.ln2_beta)
ffn_out = self.ffn.forward(normed)
x = x + ffn_out
return x
def get_params(self) -> dict[str, Any]:
"""Get all parameters as a dict (for saving/quantization)."""
return {
"wq": self.attn.wq.weight,
"wk": self.attn.wk.weight,
"wv": self.attn.wv.weight,
"wo": self.attn.wo.weight,
"w1": self.ffn.w1.weight,
"w2": self.ffn.w2.weight,
"ln1_gamma": self.ln1_gamma,
"ln1_beta": self.ln1_beta,
"ln2_gamma": self.ln2_gamma,
"ln2_beta": self.ln2_beta,
}
def set_params(self, params: dict[str, Any]) -> None:
"""Set parameters from a dict."""
self.attn.wq.weight = params["wq"]
self.attn.wk.weight = params["wk"]
self.attn.wv.weight = params["wv"]
self.attn.wo.weight = params["wo"]
self.ffn.w1.weight = params["w1"]
self.ffn.w2.weight = params["w2"]
self.ln1_gamma = params["ln1_gamma"]
self.ln1_beta = params["ln1_beta"]
self.ln2_gamma = params["ln2_gamma"]
self.ln2_beta = params["ln2_beta"]
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