KBench / tools /mega_factory /model.py
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"""Shared decoder-model reference for the megakernel family.
`HELPERS` (RMSNorm, RoPE, dequant) is reused verbatim by every architecture variant in
`_mega_factory/models/`, so each generated `reference.py` is self-contained and readable.
This source is embedded verbatim into both `environment/reference.py` (what the agent reads) and
`tests/verify_env.py` (the grader's private copy), so editing the former cannot affect grading.
Everything here is the numerical SPECIFICATION: correct, deliberately unfused, and slow. Speed of this
file has no bearing on the score, which is an absolute throughput number.
Weight init is `1/sqrt(fan_in)` scaled ON PURPOSE. Unscaled randn diverges over depth and turns the
logit comparison into noise-vs-noise (measured: activation RMS stays 1.13 -> 4.65 over 16 layers).
"""
HELPERS_CORE = r'''
def _rms_norm(x, w, eps):
return F.rms_norm(x, (x.shape[-1],), w, eps)
def _rope_cache(cfg, maxlen, device):
hd, theta = cfg["hd"], cfg["theta"]
inv = 1.0 / (theta ** (torch.arange(0, hd, 2, device=device).float() / hd))
f = torch.outer(torch.arange(maxlen, device=device).float(), inv)
return torch.cos(f), torch.sin(f)
def _apply_rope(x, cos, sin, pos):
"""x: (B, H, T, hd). Rotation is done in fp32 (cos/sin are fp32) then cast back."""
c, s = cos[pos].unsqueeze(0).unsqueeze(0), sin[pos].unsqueeze(0).unsqueeze(0)
xf = x.float()
x1, x2 = xf[..., ::2], xf[..., 1::2]
return torch.stack([x1 * c - x2 * s, x1 * s + x2 * c], dim=-1).flatten(-2).to(x.dtype)
'''
QUANT_FP8 = r'''
def _quantise(w, dt):
"""Weights are shipped ALREADY QUANTISED. Quantisation error is part of the INPUT, not of the
kernel: with an fp32 fixture a correct fp8 kernel disagrees with the reference on 17% of steps
(measured relerr 0.137 vs 0.014 when pre-quantised)."""
if dt == "bf16":
return w.to(torch.bfloat16)
if dt == "fp8": # e4m3, per-output-channel bf16 scale
amax = w.abs().amax(dim=-1, keepdim=True).clamp(min=1e-6)
scale = amax / 448.0
return (w / scale).clamp(-448, 448).to(torch.float8_e4m3fn), scale.to(torch.bfloat16)
raise ValueError(dt)
def _deq(w):
"""(fp8_tensor, per-channel scale) -> bf16. Plain bf16 weights pass through."""
if isinstance(w, tuple):
q, s = w
return (q.float() * s.float()).to(torch.bfloat16)
return w
'''
HELPERS = HELPERS_CORE + QUANT_FP8
LLAMA_BODY = r'''
def make_weights(cfg, seed=0, device="cuda"):
"""Deterministic 1/sqrt(fan_in)-scaled weights. No checkpoint is shipped or downloaded."""
g = torch.Generator(device=device).manual_seed(seed)
d, ffn, n_q, n_kv, hd = cfg["d"], cfg["ffn"], cfg["n_q"], cfg["n_kv"], cfg["hd"]
dt = cfg["wdtype"]
def rnd(*shape, fan_in):
w = torch.randn(*shape, device=device, dtype=torch.float32, generator=g) / (fan_in ** 0.5)
return _quantise(w, dt)
ones = lambda: torch.ones(d, device=device, dtype=torch.bfloat16)
W = {"embed": rnd(cfg["vocab"], d, fan_in=d), "final_norm": ones(), "layers": []}
for _ in range(cfg["layers"]):
W["layers"].append(dict(
in_norm=ones(), post_norm=ones(),
q=rnd(n_q * hd, d, fan_in=d), k=rnd(n_kv * hd, d, fan_in=d),
v=rnd(n_kv * hd, d, fan_in=d), o=rnd(d, n_q * hd, fan_in=n_q * hd),
gate=rnd(ffn, d, fan_in=d), up=rnd(ffn, d, fan_in=d), down=rnd(d, ffn, fan_in=ffn)))
return W
def make_kv(cfg, batch, prefill_len, max_seq, seed=0, device="cuda"):
"""KV cache already holding `prefill_len` tokens. Decode starts at pos = prefill_len."""
g = torch.Generator(device=device).manual_seed(seed + 777)
kv = []
for _ in range(cfg["layers"]):
k = torch.zeros(batch, cfg["n_kv"], max_seq, cfg["hd"], device=device, dtype=torch.bfloat16)
v = torch.zeros_like(k)
k[:, :, :prefill_len] = torch.randn(batch, cfg["n_kv"], prefill_len, cfg["hd"], device=device,
dtype=torch.float32, generator=g).to(torch.bfloat16) * 0.5
v[:, :, :prefill_len] = torch.randn(batch, cfg["n_kv"], prefill_len, cfg["hd"], device=device,
dtype=torch.float32, generator=g).to(torch.bfloat16) * 0.5
kv.append((k, v))
return kv
def build_model(weights, kv_cache, cfg, max_seq_len):
"""UNTIMED setup. Returns whatever handle you like; the grader only passes it back to decode_step.
Dequantisation happens ONCE here rather than per step. That is not just a speed choice: dequantising
a 128k-row embedding inside every step allocates ~525 MB per call, which perturbs the caching
allocator enough that cuBLAS picks different GEMV algorithms run-to-run and two bit-identical
implementations drift apart by ~1.4e-2. Hoisting it makes the reference exactly reproducible.
"""
cos, sin = _rope_cache(cfg, max_seq_len, weights["final_norm"].device)
W = {"embed": _deq(weights["embed"]), "final_norm": weights["final_norm"],
"layers": [{k: (v if k.endswith("norm") else _deq(v)) for k, v in L.items()}
for L in weights["layers"]]}
return {"W": W, "kv": kv_cache, "cfg": cfg, "cos": cos, "sin": sin}
@torch.no_grad()
def decode_step(handle, token_ids, pos):
"""One decode step for every sequence in the batch. Appends this position's K/V into the cache.
token_ids: (B,) int64 pos: int, the absolute position being written
returns: (B, vocab) logits
"""
W, kv, cfg = handle["W"], handle["kv"], handle["cfg"]
cos, sin = handle["cos"], handle["sin"]
B = token_ids.shape[0]
d, n_q, n_kv, hd = cfg["d"], cfg["n_q"], cfg["n_kv"], cfg["hd"]
rep = n_q // n_kv
x = W["embed"][token_ids]
for li, L in enumerate(W["layers"]):
h = _rms_norm(x, L["in_norm"], cfg["eps"])
q = (h @ L["q"].T).view(B, n_q, 1, hd)
k = (h @ L["k"].T).view(B, n_kv, 1, hd)
v = (h @ L["v"].T).view(B, n_kv, 1, hd)
q = _apply_rope(q, cos, sin, pos)
k = _apply_rope(k, cos, sin, pos)
kc, vc = kv[li]
kc[:, :, pos:pos + 1] = k
vc[:, :, pos:pos + 1] = v
kk = kc[:, :, :pos + 1].repeat_interleave(rep, dim=1)
vv = vc[:, :, :pos + 1].repeat_interleave(rep, dim=1)
att = F.scaled_dot_product_attention(q, kk, vv)
x = x + (att.reshape(B, n_q * hd) @ L["o"].T)
h = _rms_norm(x, L["post_norm"], cfg["eps"])
x = x + ((F.silu(h @ L["gate"].T) * (h @ L["up"].T)) @ L["down"].T)
x = _rms_norm(x, W["final_norm"], cfg["eps"])
return x @ W["embed"].T # tied lm_head
'''
MODEL_SRC = HELPERS + LLAMA_BODY