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Pragya-EXP2 / ngram.py
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"""
Engram -- static n-gram memory (arXiv:2601.07372, DeepSeek engram_demo_v1.py),
adapted for Veylon/Arya's standard transformer (hc_mult = 1, tiktoken).
Fixes vs. the drafted port (all verified in test_engram.py):
1. Hashing ran on CPU/numpy INSIDE forward(): a GPU->CPU sync + torch.compile
graph break on every Engram layer, every step (and fatal on XLA). Now the
hash is pure int64 torch ops on the model device, compile-friendly.
2. Every Engram layer built its own NgramHashMapping (re-decoding the whole
vocab) and each call hashed ALL layers, then kept one. Now ONE NgramHasher
lives on GPT, hashes all layers once per forward.
3. pad_id=None crashed np.pad; pad_id=-1 silently indexed the LAST lookup
entry. Left-context padding is now a dedicated reserved id (never
collides with a real token class).
4. nn.RMSNorm (torch>=2.4 only, eps=finfo(fp16)=1e-3 default) replaced by a local
_RMSNorm (eps=1e-5, weight cast to the input dtype) matching model.RMSNorm's eager
path. It does NOT upcast to fp32.
5. Gate dot-product computed in fp32 (sum over D in fp16 can overflow/lose
precision), cast back after the sigmoid.
6. The compressed-vocab lookup is now a persistent buffer, so a checkpoint
carries it and inference needs no tokenizer object.
7. sympy dependency dropped (trial-division primality is plenty for table sizes).
8. Special-id discovery no longer assumes TokenizerWrapper._special_ids is a
set of ints (dict / missing attr both handled).
9. embed_per_ngram % n_heads != 0 silently produced a wrong-width table ->
hard assert. Same for len(engram_vocab_size) < max_ngram-1.
"""
from __future__ import annotations
import math
import re
import unicodedata
import warnings
from typing import List, Sequence
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
# ─────────────────────────────────────────────────────────────────────────────
# Primes
# ─────────────────────────────────────────────────────────────────────────────
def _is_prime(n: int) -> bool:
if n < 2:
return False
if n < 4:
return True
if n % 2 == 0 or n % 3 == 0:
return False
i = 5
while i * i <= n:
if n % i == 0 or n % (i + 2) == 0:
return False
i += 6
return True
def find_next_prime(start: int, seen_primes: set) -> int:
candidate = start + 1
while True:
if _is_prime(candidate) and candidate not in seen_primes:
return candidate
candidate += 1
# ─────────────────────────────────────────────────────────────────────────────
# CompressedTokenizer -- build-time only (numpy). Output is a lookup table.
# ─────────────────────────────────────────────────────────────────────────────
class CompressedTokenizer:
"""Maps raw token IDs -> compressed IDs (NFKC / strip-accents / lowercase /
whitespace-collapse of each token's surface string). Build-time only: the
result (`lookup_table`) is handed to the model as a persistent buffer."""
_SENTINEL = "\uE000"
_WS_RE = re.compile(r"[ \t\r\n]+")
def __init__(self, tokenizer_wrapper):
self.tokenizer = tokenizer_wrapper
self._special_ids = self._collect_special_ids(tokenizer_wrapper)
self.lookup_table, self.num_new_token = self._build_lookup_table()
def __len__(self):
return self.num_new_token
@staticmethod
def _collect_special_ids(tw) -> set:
ids = set()
raw = getattr(tw, "_special_ids", None)
if raw is not None:
if isinstance(raw, dict):
for k, v in raw.items():
for cand in (k, v):
if isinstance(cand, (int, np.integer)):
ids.add(int(cand))
else:
for v in raw:
if isinstance(v, (int, np.integer)):
ids.add(int(v))
vs = int(tw.vocab_size)
for name in ("bos_id", "eos_id", "pad_id"):
v = getattr(tw, name, None)
if isinstance(v, (int, np.integer)) and 0 <= int(v) < vs:
ids.add(int(v))
return ids
@classmethod
def _normalize(cls, text: str) -> str:
text = unicodedata.normalize("NFKC", text)
text = unicodedata.normalize("NFD", text)
text = "".join(c for c in text if unicodedata.category(c) != "Mn")
text = text.lower()
text = cls._WS_RE.sub(" ", text)
if text == " ": # lone space survives strip()
text = cls._SENTINEL
text = text.strip()
return text.replace(cls._SENTINEL, " ")
def _decode_id(self, tid: int) -> str:
tw = self.tokenizer
try:
enc = getattr(tw, "enc", None)
if enc is not None:
return enc.decode([tid])
return tw.decode([tid])
except Exception:
return ""
def _build_lookup_table(self):
key2new, new_tokens = {}, []
vocab_size = int(self.tokenizer.vocab_size)
lookup = np.empty(vocab_size, dtype=np.int64)
for tid in range(vocab_size):
if tid in self._special_ids:
key = f"__special_{tid}"
else:
text = self._decode_id(tid)
if not text or "\ufffd" in text:
key = f"__raw_{tid}"
else:
norm = self._normalize(text)
key = norm if norm else f"__raw_{tid}"
nid = key2new.get(key)
if nid is None:
nid = len(new_tokens)
key2new[key] = nid
new_tokens.append(key)
lookup[tid] = nid
return lookup, len(new_tokens)
# ─────────────────────────────────────────────────────────────────────────────
# NgramHasher -- static, deterministic, layer-specific, pure torch int64
# ─────────────────────────────────────────────────────────────────────────────
class NgramHasher(nn.Module):
"""(B, T) raw ids -> per-layer embedding indices of shape (B, T, n_cols).
No parameters, no gradients. `lookup` and the hash multipliers `mult` are
persistent (state_dict); the prime moduli `mods` are re-derived from config.
`mult` comes from NumPy's Generator, which is not guaranteed stable across
NumPy releases, so it is saved with the checkpoint instead of re-derived.
"""
def __init__(self, layer_ids: Sequence[int], max_ngram: int,
vocab_size_per_ngram: Sequence[int], n_heads: int,
compressed_vocab: int, raw_vocab_size: int, seed: int,
lookup: torch.Tensor | None = None):
super().__init__()
assert max_ngram >= 2, "engram_max_ngram must be >= 2"
assert len(vocab_size_per_ngram) >= max_ngram - 1, (
f"engram_vocab_size needs {max_ngram - 1} entries (ngram 2..{max_ngram}), "
f"got {len(vocab_size_per_ngram)}"
)
assert compressed_vocab > 0, "engram_compressed_vocab must be set (>0)"
self.layer_ids = tuple(int(l) for l in layer_ids)
self.max_ngram = int(max_ngram)
self.n_heads = int(n_heads)
self.n_cols = (self.max_ngram - 1) * self.n_heads
self.compressed_vocab = int(compressed_vocab)
# Reserved id for left-context padding: distinct from every token class.
self.pad_cid = self.compressed_vocab
if lookup is None:
# Every token would hash to class 0 and Engram would silently ignore its input. This is only
# valid if a checkpoint (which carries `lookup`) is loaded right after construction.
warnings.warn(
"NgramHasher built without a lookup table: all tokens map to class 0 until a checkpoint "
"containing `lookup` is loaded. Pass engram_lookup from CompressedTokenizer for training.",
stacklevel=2)
lookup = torch.zeros(int(raw_vocab_size), dtype=torch.int64)
else:
lookup = lookup.detach().to(torch.int64).clone()
assert lookup.numel() == int(raw_vocab_size), (
f"lookup has {lookup.numel()} entries, vocab_size={raw_vocab_size}")
assert int(lookup.max()) < self.compressed_vocab
self.register_buffer("lookup", lookup, persistent=True)
# Multipliers: r*2+1, bounded so tok*mult can never overflow int64.
# (+1 vocab slot for the reserved pad id.)
max_long = int(np.iinfo(np.int64).max)
M_max = max_long // (self.compressed_vocab + 1)
half_bound = max(1, M_max // 2)
PRIME_1 = 10007
mult = np.empty((len(self.layer_ids), self.max_ngram), dtype=np.int64)
for li, layer_id in enumerate(self.layer_ids):
g = np.random.default_rng(int(seed + PRIME_1 * int(layer_id)))
r = g.integers(low=0, high=half_bound, size=(self.max_ngram,), dtype=np.int64)
mult[li] = r * 2 + 1
self.register_buffer("mult", torch.from_numpy(mult), persistent=True)
# Distinct prime moduli per (layer, ngram order, head); unique globally.
seen: set = set()
self.head_sizes: List[List[int]] = [] # per layer: flat list, len n_cols
for _ in self.layer_ids:
flat = []
for ngram in range(2, self.max_ngram + 1):
search_start = int(vocab_size_per_ngram[ngram - 2]) - 1
for _h in range(self.n_heads):
found = find_next_prime(search_start, seen)
seen.add(found)
flat.append(found)
search_start = found
self.head_sizes.append(flat)
self.register_buffer(
"mods", torch.tensor(self.head_sizes, dtype=torch.int64), persistent=False)
head_offsets = []
for sizes in self.head_sizes:
offsets = []
offset = 0
for size in sizes:
offsets.append(offset)
offset += size
head_offsets.append(offsets)
self.register_buffer(
"head_offsets", torch.tensor(head_offsets, dtype=torch.int64), persistent=False)
def compress(self, idx: torch.Tensor) -> torch.Tensor:
return self.lookup[idx.long()] # idx is never negative (the -1 ignore index lives in targets)
def forward(self, idx: torch.Tensor, doc_ids: torch.Tensor | None = None,
cache: dict | None = None):
"""Hash tokens, optionally using cached history for incremental decoding.
doc_ids (B, T), when supplied, replaces cross-document history with the
left-padding id so packed documents hash as if processed separately.
"""
ids = self.compress(idx) # (B, T_new)
B, T_new = ids.shape
K = self.max_ngram - 1
if cache is not None:
hist_ids = cache.get("hash_hist_ids")
hist_doc = cache.get("hash_hist_doc")
if hist_ids is None:
hist_ids = ids.new_full((B, K), self.pad_cid)
hist_doc = (
torch.full((B, K), -1, dtype=doc_ids.dtype, device=doc_ids.device)
if doc_ids is not None else None
)
else:
hist_ids = hist_ids.to(device=ids.device)
if hist_doc is not None:
hist_doc = hist_doc.to(device=ids.device)
full_ids = torch.cat([hist_ids, ids], dim=1) # (B, K + T_new)
if doc_ids is not None and hist_doc is not None:
full_doc = torch.cat([hist_doc, doc_ids], dim=1)
else:
full_doc = doc_ids
cache["hash_hist_ids"] = full_ids[:, -K:].detach()
if full_doc is not None:
cache["hash_hist_doc"] = full_doc[:, -K:].detach()
else:
full_ids, full_doc = ids, doc_ids
T_full = full_ids.shape[1]
# Keep only one running hash per layer and one shifted-id tensor per order;
# broadcasting all layers and orders at once creates a large int64 product.
mixes = [full_ids * self.mult[li, 0] for li in range(len(self.layer_ids))]
out = {
layer_id: torch.empty(
(B, T_full, self.n_cols), dtype=torch.int64, device=full_ids.device)
for layer_id in self.layer_ids
}
for n in range(2, self.max_ngram + 1):
shifted = F.pad(full_ids, (n - 1, 0), value=self.pad_cid)[:, :T_full]
if full_doc is not None:
same = F.pad(full_doc, (n - 1, 0), value=-1)[:, :T_full] == full_doc
shifted = torch.where(same, shifted, torch.full_like(shifted, self.pad_cid))
lo = (n - 2) * self.n_heads
hi = lo + self.n_heads
for li, layer_id in enumerate(self.layer_ids):
mix = torch.bitwise_xor(mixes[li], shifted * self.mult[li, n - 1])
mixes[li] = mix
col = mix.unsqueeze(-1) % self.mods[li, lo:hi]
col += self.head_offsets[li, lo:hi]
out[layer_id][..., lo:hi] = col
if T_full > T_new:
out = {layer_id: values[:, -T_new:].contiguous() for layer_id, values in out.items()}
return out
# ─────────────────────────────────────────────────────────────────────────────
# Modules
# ─────────────────────────────────────────────────────────────────────────────
class _RMSNorm(nn.Module):
"""RMSNorm with fused accumulation for the input dtype."""
def __init__(self, dim: int, eps: float = 1e-5):
super().__init__()
self.eps = eps
self.weight = nn.Parameter(torch.ones(dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
return F.rms_norm(x, (x.shape[-1],), self.weight.to(x.dtype), self.eps)
class ShortConv(nn.Module):
"""(B, T, D) -> (B, T, D). Depthwise causal conv, dilation = max_ngram."""
def __init__(self, hidden_size: int, kernel_size: int = 4,
dilation: int = 1, activation: bool = True):
super().__init__()
self.activation = activation
self.kernel_size = kernel_size
self.dilation = dilation
self.conv = nn.Conv1d(
hidden_size, hidden_size, kernel_size=kernel_size,
groups=hidden_size, bias=False,
padding=(kernel_size - 1) * dilation, dilation=dilation,
)
self.norm = _RMSNorm(hidden_size)
self.act_fn = nn.SiLU() if activation else None
def forward(self, x: torch.Tensor, doc_ids: torch.Tensor | None = None,
cache: dict | None = None) -> torch.Tensor:
T = x.shape[1]
K, d = self.kernel_size, self.dilation
rf = (K - 1) * d
B, _, D = x.shape
xn = self.norm(x) # (B, T, D)
if cache is not None:
hist_xn = cache.get("sc_hist_x")
hist_doc = cache.get("sc_hist_doc")
if hist_xn is None:
hist_xn = xn.new_zeros(B, rf, D)
hist_doc = (
torch.full((B, rf), -1, dtype=doc_ids.dtype, device=doc_ids.device)
if doc_ids is not None else None
)
else:
hist_xn = hist_xn.to(dtype=xn.dtype, device=xn.device)
if hist_doc is not None:
hist_doc = hist_doc.to(device=xn.device)
full_xn = torch.cat([hist_xn, xn], dim=1) if rf > 0 else xn
if doc_ids is not None and hist_doc is not None:
full_doc = torch.cat([hist_doc, doc_ids], dim=1) if rf > 0 else doc_ids
else:
full_doc = doc_ids
if rf > 0:
cache["sc_hist_x"] = full_xn[:, -rf:].detach()
if full_doc is not None:
cache["sc_hist_doc"] = full_doc[:, -rf:].detach()
else:
full_xn, full_doc = xn, doc_ids
T_full = full_xn.shape[1]
w = self.conv.weight[:, 0, :].to(full_xn.dtype) # (D, K)
xp = F.pad(full_xn, (0, 0, rf, 0))
tap = xp[:, :T_full]
if full_doc is not None and K > 1:
s = (K - 1) * d
same = F.pad(full_doc, (s, 0), value=-1)[:, :T_full] == full_doc
tap = tap * same.unsqueeze(-1)
y = tap * w[:, 0]
for j in range(1, K):
tap = xp[:, j * d:j * d + T_full]
if full_doc is not None:
s = (K - 1 - j) * d
same = F.pad(full_doc, (s, 0), value=-1)[:, :T_full] == full_doc
tap = tap * same.unsqueeze(-1)
y.addcmul_(tap, w[:, j])
if T_full > T:
y = y[:, -T:].contiguous()
if self.activation:
y = self.act_fn(y)
return y
class MultiHeadEmbedding(nn.Module):
def __init__(self, list_of_N: List[int], D: int):
super().__init__()
self.embedding = nn.Embedding(sum(list_of_N), D)
self.reset_parameters()
def reset_parameters(self):
nn.init.normal_(self.embedding.weight, std=0.01)
def forward(self, hash_ids: torch.Tensor) -> torch.Tensor:
return self.embedding(hash_ids)
class Engram(nn.Module):
"""Static n-gram memory with conditional gated injection (hc_mult = 1).
forward() returns the DELTA to add to the residual stream:
x = x + engram(x, hash_ids)
"""
def __init__(self, hidden_size: int, head_sizes: List[int], max_ngram: int,
embed_per_ngram: int, n_heads: int, kernel_size: int):
super().__init__()
assert embed_per_ngram % n_heads == 0, (
f"engram_embed_per_ngram={embed_per_ngram} must be divisible by "
f"engram_n_heads={n_heads}")
self.hidden_size = hidden_size
d_head = embed_per_ngram // n_heads
engram_hidden = (max_ngram - 1) * embed_per_ngram
self.multi_head_embedding = MultiHeadEmbedding(list(head_sizes), d_head)
self.value_proj = nn.Linear(engram_hidden, hidden_size, bias=False)
self.key_proj = nn.Linear(engram_hidden, hidden_size, bias=False)
self.norm1 = _RMSNorm(hidden_size)
self.norm2 = _RMSNorm(hidden_size)
self.short_conv = ShortConv(hidden_size, kernel_size=kernel_size,
dilation=max_ngram)
self.reset_parameters()
def reset_parameters(self):
self.multi_head_embedding.reset_parameters()
nn.init.normal_(self.value_proj.weight, std=0.02)
nn.init.normal_(self.key_proj.weight, std=0.02)
# Zero-init the conv: ShortConv RMS-normalises its input, so without this the gated value is
# blown back up to ~1 rms and the initial delta is ~0.13 rms (larger than the residual stream at
# D<=256). With zeros the branch starts at ~0 and the conv weight gets gradient on step 1.
nn.init.zeros_(self.short_conv.conv.weight)
def forward(self, hidden_states: torch.Tensor, hash_ids: torch.Tensor,
doc_ids: torch.Tensor | None = None, cache: dict | None = None):
emb = self.multi_head_embedding(hash_ids).flatten(start_dim=-2) # (B,T,engram_hidden)
key = self.key_proj(emb)
nk = self.norm1(key)
nq = self.norm2(hidden_states)
# Product AND sum in fp32: with bf16 inputs, rounding nk*nq to bf16 first leaves gate errors up to
# ~0.02 (sqrt(|g|) amplifies small pre-activations); the casts fuse under torch.compile.
gate = (nk.float() * nq.float()).sum(dim=-1) / math.sqrt(self.hidden_size)
gate = gate.abs().clamp_min(1e-6).sqrt() * gate.sign()
gate = gate.sigmoid().unsqueeze(-1).to(hidden_states.dtype) # (B,T,1)
value = gate * self.value_proj(emb)
return value + self.short_conv(value, doc_ids, cache=cache)