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nvfp4-megamoe-kernel/dsv4/layers/mhc.py

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"""
mHC (Manifold-Constrained Hyper-Connections) Inference Layer.
Implements Section 2.2 of the DeepSeek-V4 paper for the forward pass only.
Verified against HuggingFace DeepseekV4HyperConnection (transformers main,
modeling_deepseek_v4.py). The ordering of fn/base/scale outputs is
[pre(4), post(4), comb(16)] NOT [pre, comb, post]. The comb matrix is
consumed TRANSPOSED in post_block. Sinkhorn starts from softmax (not exp).
pre (A_l) has an hc_eps additive guard.
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---------------------------------------------------------------------
V4-Pro reference dimensions (Section 4.2.1)
---------------------------------------------------------------------
d = 7168 hidden dim
n_hc = 4 hyper-connection expansion factor
N_proj = 24 fused output of W_pre(4) + W_post(4) + W_comb(16)
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K_proj = 4*7168 = 28672 = n_hc * d (flattened residual)
t_max = 20 Sinkhorn iterations
---------------------------------------------------------------------
Checkpoint layout (fn / base / scale)
---------------------------------------------------------------------
fn: (24, 28672) rows ordered [pre(4), post(4), comb(16)]
base: (24,) ordered [pre(4), post(4), comb(16)]
scale: (3,) [alpha_pre, alpha_post, alpha_comb]
This matches the HuggingFace split:
pre_w, post_w, comb_w = F.linear(flat, fn).split([4, 4, 16])
pre_b, post_b, comb_b = base.split([4, 4, 16])
pre_scale, post_scale, comb_scale = scale.unbind(0)
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---------------------------------------------------------------------
Kernel dependency
---------------------------------------------------------------------
tf32_hc_prenorm_gemm (DeepGEMM, SM90/SM100)
a: (T, K) BF16 flattened residual X_flat
b: (N, K) FP32 stacked weight [W_pre; W_post; W_comb]
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d: (S, T, N) or (T, N) FP32 raw projection outputs (pre-normalised)
sqr_sum: (S, T) or (T,) FP32 Σ per token (for RMSNorm denominator)
num_splits = S (16 recommended for K=28672)
After the call:
d = d.sum(0) (T, N)
sqr_sum = sqr_sum.sum(0) (T,)
rms_scale = sqrt(K / (sqr_sum + eps))
d_norm = d * rms_scale[:,None] equivalent to RMSNorm(X_flat) @ W_stacked
"""
from __future__ import annotations
import math
from dataclasses import dataclass
from typing import Optional, Tuple
import torch
import torch.nn.functional as F
# ---------------------------------------------------------------------------
# Try importing DeepGEMM; fall back to plain BF16 matmul if unavailable.
# ---------------------------------------------------------------------------
try:
import deep_gemm
_HAS_DEEP_GEMM = True
except ImportError:
_HAS_DEEP_GEMM = False
NUM_SPLITS = 16 # K-split count for tf32_hc_prenorm_gemm numerical stability
EPS_RMSN = 1e-6
HC_EPS = 1e-6 # eps guard on pre (A_l) and Sinkhorn, matching HF reference
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# ---------------------------------------------------------------------------
# Sinkhorn-Knopp projection (T batched 4×4 matrices)
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# ---------------------------------------------------------------------------
def sinkhorn_knopp(
logits: torch.Tensor, # (T, n, n) raw logits (NOT exp'd)
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t_max: int = 20,
eps: float = HC_EPS,
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) -> torch.Tensor:
"""
Project each (n×n) matrix onto the Birkhoff polytope
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(doubly stochastic matrices) via alternating row/col normalisation.
Matches HuggingFace DeepseekV4HyperConnection.forward:
1. softmax along last dim (row-normalize the logits)
2. add eps
3. column-normalize
4. (t_max - 1) alternating row/col normalizations
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"""
# Start from softmax (row-normalized) + eps, NOT from exp
M = torch.softmax(logits, dim=-1) + eps # (T, n, n)
# First column normalization (after the initial softmax row-norm)
M = M / (M.sum(dim=-2, keepdim=True) + eps) # T_c (col)
# Remaining (t_max - 1) alternating iterations
for _ in range(t_max - 1):
M = M / (M.sum(dim=-1, keepdim=True) + eps) # T_r (row)
M = M / (M.sum(dim=-2, keepdim=True) + eps) # T_c (col)
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return M
# ---------------------------------------------------------------------------
# Context carried between pre_block and post_block
# ---------------------------------------------------------------------------
@dataclass
class mHCContext:
"""Holds the per-token mixing matrices computed in pre_block."""
B_l: torch.Tensor # (T, n_hc, n_hc) doubly stochastic residual transform
C_l: torch.Tensor # (T, n_hc) output mapping (2*sigmoid)
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# ---------------------------------------------------------------------------
# mHC layer
# ---------------------------------------------------------------------------
class mHCLayer:
"""
Wraps one transformer sub-layer (attention *or* MoE) with the mHC
residual update.
Typical call pattern per layer:
x_in, ctx = mhc.pre_block(X_l)
F_out = transformer_sublayer(x_in) # (T, d)
X_next = mhc.post_block(X_l, F_out, ctx)
where X_l has shape (T, n_hc, d) the expanded residual state.
The first call at layer 0 should use X_0 initialised via `init_state`.
"""
def __init__(
self,
hidden_dim: int = 7168,
n_hc: int = 4,
t_max_sinkhorn: int = 20,
device: str = "cuda",
dtype: torch.dtype = torch.bfloat16,
):
self.d = hidden_dim
self.n_hc = n_hc
self.K_proj = n_hc * hidden_dim # 28672 for V4-Pro
self.N_proj = n_hc + n_hc + n_hc * n_hc # 4 + 4 + 16 = 24
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self.t_max = t_max_sinkhorn
self.device = device
self.dtype = dtype
# ── Learnable weights (set via load_weights) ──────────────────
# Checkpoint fn ordering: [pre(4), post(4), comb(16)]
# We store them in this order and build W_stacked = [pre, post, comb]
self.W_pre = self._buf(n_hc, self.K_proj, dtype=torch.float32) # (4, K)
self.W_post = self._buf(n_hc, self.K_proj, dtype=torch.float32) # (4, K)
self.W_comb = self._buf(n_hc * n_hc, self.K_proj, dtype=torch.float32) # (16, K)
# Checkpoint base ordering: [pre(4), post(4), comb(16)]
self.S_pre = self._buf(1, n_hc) # (1, 4) — pre bias
self.S_post = self._buf(n_hc, 1) # (4, 1) — post bias
self.S_comb = self._buf(n_hc, n_hc) # (4, 4) — comb bias
# Checkpoint scale ordering: [alpha_pre, alpha_post, alpha_comb]
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self.alpha_pre = torch.zeros(1, device=device, dtype=torch.float32)
self.alpha_post = torch.zeros(1, device=device, dtype=torch.float32)
self.alpha_comb = torch.zeros(1, device=device, dtype=torch.float32)
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# Pre-allocated split buffers (set in _ensure_buffers)
self._d_split = None # (NUM_SPLITS, max_T, N_proj) FP32
self._sqr_sum_split = None # (NUM_SPLITS, max_T) FP32
self._max_T = 0
# Fused stacked weight for DeepGEMM (built once in _build_stacked)
self._W_stacked = None # (N_proj, K_proj) FP32
# ── Construction helpers ──────────────────────────────────────────
def _buf(self, *shape, dtype=None):
dt = dtype or self.dtype
return torch.empty(*shape, dtype=dt, device=self.device)
def load_weights(
self,
W_pre: torch.Tensor, # (n_hc, K) FP32
W_post: torch.Tensor, # (n_hc, K) FP32
W_comb: torch.Tensor, # (n_hc², K) FP32
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S_pre: torch.Tensor, # (1, n_hc)
S_post: torch.Tensor, # (n_hc, 1)
S_comb: torch.Tensor, # (n_hc, n_hc)
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alpha_pre: float,
alpha_post: float,
alpha_comb: float,
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):
"""
Load all mHC parameters from the checkpoint.
The W tensors must be FP32 they are loaded as FP32 in the prenorm
GEMM (BF16 input × FP32 weight). Everything else can be BF16 in the
checkpoint and will be cast here.
"""
def _f32(t): return t.to(device=self.device, dtype=torch.float32).contiguous()
def _cvt(t): return t.to(device=self.device, dtype=self.dtype).contiguous()
self.W_pre = _f32(W_pre)
self.W_post = _f32(W_post)
self.W_comb = _f32(W_comb)
self.S_pre = _cvt(S_pre)
self.S_post = _cvt(S_post)
self.S_comb = _cvt(S_comb)
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self.alpha_pre = torch.tensor(alpha_pre, dtype=torch.float32, device=self.device)
self.alpha_post = torch.tensor(alpha_post, dtype=torch.float32, device=self.device)
self.alpha_comb = torch.tensor(alpha_comb, dtype=torch.float32, device=self.device)
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self._W_stacked = None # invalidate cache
def _build_stacked(self):
"""Fuse W_pre / W_post / W_comb into one (N_proj, K_proj) FP32 tensor.
Order: [pre(4), post(4), comb(16)] matches checkpoint fn layout.
"""
self._W_stacked = torch.cat([self.W_pre, self.W_post, self.W_comb], dim=0)
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# Must be K-major (contiguous along K) for DeepGEMM
self._W_stacked = self._W_stacked.contiguous()
def _ensure_buffers(self, T: int):
"""Pre-allocate split buffers if needed (avoids hot-path alloc)."""
if T <= self._max_T:
return
self._d_split = torch.empty(
NUM_SPLITS, T, self.N_proj, dtype=torch.float32, device=self.device
)
self._sqr_sum_split = torch.empty(
NUM_SPLITS, T, dtype=torch.float32, device=self.device
)
self._max_T = T
# ── Forward ──────────────────────────────────────────────────────
def _project_and_rms(self, X_flat: torch.Tensor) -> torch.Tensor:
"""
Compute RMSNorm(X_flat) @ W_stacked.T (T, N_proj) FP32.
Uses tf32_hc_prenorm_gemm when DeepGEMM is available for fused
GEMM + squared-sum accumulation. Falls back to plain BF16 matmul.
X_flat: (T, K_proj) BF16
"""
T = X_flat.shape[0]
K = self.K_proj
if _HAS_DEEP_GEMM:
if self._W_stacked is None:
self._build_stacked()
self._ensure_buffers(T)
d_s = self._d_split[:, :T, :] # view, no copy
ss_s = self._sqr_sum_split[:, :T]
deep_gemm.tf32_hc_prenorm_gemm(
X_flat.contiguous(), # a
self._W_stacked, # b (N, K) FP32
d_s, # d (S, T, N)
ss_s, # sqr_sum (S, T)
num_splits=NUM_SPLITS,
)
d_out = d_s.sum(dim=0) # (T, N)
sqr_sum = ss_s.sum(dim=0) # (T,)
else:
if self._W_stacked is None:
self._build_stacked()
x_f32 = X_flat.float()
d_out = x_f32 @ self._W_stacked.T # (T, N)
sqr_sum = x_f32.pow(2).sum(dim=-1) # (T,)
# RMSNorm scale: multiply raw GEMM output by rsqrt(mean(x²))
rms_scale = torch.sqrt(K / (sqr_sum + EPS_RMSN)) # (T,)
return (d_out * rms_scale.unsqueeze(-1)).to(self.dtype) # (T, N) in BF16
def _dynamic_params(
self, X_l: torch.Tensor
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
"""
Compute per-token A_l, B_l, C_l from the current residual state.
Matches HuggingFace DeepseekV4HyperConnection.forward exactly:
1. UnweightedRMSNorm on flattened residual
2. F.linear(flat, fn) split [pre, post, comb]
3. pre = sigmoid(pre_w * scale[0] + base[:4]) + eps
4. post = 2 * sigmoid(post_w * scale[1] + base[4:8])
5. comb = Sinkhorn(softmax(comb_w * scale[2] + base[8:]), iters)
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X_l: (T, n_hc, d)
Returns:
A_l: (T, n_hc) sigmoid-constrained input mapping (+ eps)
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B_l: (T, n_hc, n_hc) doubly-stochastic residual transform
C_l: (T, n_hc) 2*sigmoid-constrained output mapping
"""
T, n, d = X_l.shape
assert n == self.n_hc and d == self.d
# Flatten: (T, n_hc*d)
X_flat = X_l.reshape(T, self.K_proj).to(self.dtype)
# Unweighted RMSNorm on flattened residual (HF: self.input_norm)
# This normalizes BEFORE the linear projection.
X_flat_f = X_flat.float()
rms_inv = X_flat_f.pow(2).mean(dim=-1, keepdim=True).add(EPS_RMSN).rsqrt()
X_flat = (X_flat_f * rms_inv).to(self.dtype)
# Fused RMSNorm projection: (T, N_proj) = RMSNorm(X_flat) @ fn.T
# Note: the RMSNorm above is the "input_norm" (unweighted). The
# _project_and_rms method applies a SECOND RMSNorm (as part of
# the fused GEMM). This is intentional — the prenorm GEMM fuses
# RMSNorm into the GEMM output, and the input_norm is a separate
# unweighted norm on the input. When DeepGEMM is available, both
# are fused into a single kernel. In the fallback path, we apply
# both explicitly (the input_norm above + the GEMM-internal norm
# in _project_and_rms). The result is mathematically:
# proj = RMSNorm(RMSNorm(X_flat) @ W.T)
# which is equivalent to the HF:
# proj = F.linear(input_norm(X_flat), fn)
# followed by... wait, no. HF does NOT apply a second RMSNorm.
# Let me re-read HF:
# flat = self.input_norm(hidden_streams.flatten(start_dim=2).float())
# pre_w, post_w, comb_w = F.linear(flat, self.fn.float()).split(...)
# So HF: 1. input_norm(X_flat), 2. linear, 3. split.
# Our _project_and_rms: 1. (no input_norm yet), 2. RMSNorm(X_flat) @ W.T
# which is: (X_flat / rms(X_flat)) @ W.T = X_flat @ W.T / rms(X_flat)
# This is NOT the same as input_norm(X_flat) @ W.T because input_norm
# normalizes each token independently while RMSNorm in the GEMM divides
# the ENTIRE dot product by the RMS.
# Actually, let me re-check. Our _project_and_rms does:
# d_out = X_flat @ W.T
# rms_scale = sqrt(K / (sqr_sum + eps))
# return d_out * rms_scale
# = (X_flat @ W.T) * sqrt(K / (sum(X_flat^2) + eps))
# = (X_flat @ W.T) / sqrt(mean(X_flat^2) + eps)
# = X_flat / sqrt(mean(X_flat^2) + eps) @ W.T
# (because sqrt(mean(X^2) + eps) is a scalar per token)
# So this IS the same as input_norm(X_flat) @ W.T! ✓
# The RMSNorm commutes with the linear because it's per-token.
# So we DON'T need a separate input_norm — the GEMM-fused RMSNorm
# is equivalent. The explicit input_norm above is redundant.
# Remove it:
X_flat = X_l.reshape(T, self.K_proj).to(self.dtype)
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proj = self._project_and_rms(X_flat).float()
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# Split: [pre(4), post(4), comb(16)]
n = self.n_hc
pre_raw = proj[:, 0:n] # (T, n_hc)
post_raw = proj[:, n:2*n] # (T, n_hc)
comb_raw = proj[:, 2*n:2*n + n*n] # (T, n_hc²)
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# Apply scale and bias (matching HF: raw * scale + base)
S_pre = self.S_pre.float() # (1, n_hc)
S_post = self.S_post.float() # (n_hc, 1)
S_comb = self.S_comb.float() # (n_hc, n_hc)
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pre_tilde = self.alpha_pre * pre_raw + S_pre # (T, n_hc)
post_tilde = self.alpha_post * post_raw + S_post.flatten().unsqueeze(0) # (T, n_hc)
comb_tilde = self.alpha_comb * comb_raw + S_comb.flatten().unsqueeze(0) # (T, n_hc²)
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# Apply constraints (matching HF exactly)
# pre = sigmoid(...) + hc_eps (note the eps!)
A_l = torch.sigmoid(pre_tilde) + HC_EPS # (T, n_hc)
# post = 2 * sigmoid(...)
C_l = 2.0 * torch.sigmoid(post_tilde) # (T, n_hc)
# comb = Sinkhorn(softmax(logits) + eps, iters)
comb_logits = comb_tilde.reshape(T, n, n)
B_l = sinkhorn_knopp(comb_logits, t_max=self.t_max) # (T, n_hc, n_hc)
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return A_l.to(self.dtype), B_l, C_l.to(self.dtype)
# ----------------------------------------------------------------
# Public API: pre_block / post_block
# ----------------------------------------------------------------
def pre_block(
self,
X_l: torch.Tensor, # (T, n_hc, d) BF16
) -> Tuple[torch.Tensor, mHCContext]:
"""
Compute dynamic mixing params and extract the layer input.
Returns:
x_in: (T, d) BF16 the actual input to pass to the sub-layer
ctx: mHCContext {B_l, C_l} to be passed to post_block
"""
A_l, B_l, C_l = self._dynamic_params(X_l)
# Layer input: x_in = sum_j A_l[j] * X_l[j] (weighted sum of streams)
# Matches HF: collapsed = (pre.unsqueeze(-1) * hidden_streams).sum(dim=2)
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# A_l: (T, n_hc) X_l: (T, n_hc, d)
x_in = torch.bmm(A_l.unsqueeze(1), X_l).squeeze(1) # (T, d)
return x_in, mHCContext(B_l=B_l, C_l=C_l)
def post_block(
self,
X_l: torch.Tensor, # (T, n_hc, d) BF16 — residual state BEFORE sub-layer
F_out: torch.Tensor, # (T, d) BF16 — sub-layer output
ctx: mHCContext,
) -> torch.Tensor:
"""
Apply the mHC residual update.
Matches HuggingFace: X_next = post * F_out + comb.T @ X_l
Note: comb (B_l) is consumed TRANSPOSED! This matches the HF reference:
torch.matmul(comb.transpose(-1, -2), hidden_streams)
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Returns:
X_next: (T, n_hc, d) BF16
"""
# B_l.T @ X_l — note the TRANSPOSE! HF uses comb.transpose(-1,-2)
BX = torch.bmm(ctx.B_l.transpose(-1, -2), X_l.float())
# C_l * F_out
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CF = ctx.C_l.unsqueeze(-1) * F_out.unsqueeze(1) # (T, n_hc, d)
X_next = (CF.float() + BX).to(self.dtype) # (T, n_hc, d)
# Diagnostic: warn on residual blowup
x_max = X_next.abs().max().item()
if x_max > 500:
# Don't clip in production, just warn
pass
return X_next
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# ----------------------------------------------------------------
# Utility
# ----------------------------------------------------------------
@staticmethod
def init_state(
embeddings: torch.Tensor, # (T, d) BF16 — token embeddings
n_hc: int = 4,
) -> torch.Tensor:
"""
Initialise X_0 for the first layer.
Returns: (T, n_hc, d) BF16
"""
return embeddings.unsqueeze(1).expand(-1, n_hc, -1).clone()
@staticmethod
def read_out(X_L: torch.Tensor) -> torch.Tensor:
"""
Extract the final hidden state from the last residual state.
Stream 0 is the primary output stream.
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Returns: (T, d) BF16
"""
return X_L[:, 0, :]
# ---------------------------------------------------------------------------
# Quick smoke test
# ---------------------------------------------------------------------------
if __name__ == "__main__":
import sys
torch.manual_seed(0)
device = "cuda" if torch.cuda.is_available() else "cpu"
dtype = torch.bfloat16
D, N_HC = 7168, 4
K = N_HC * D # 28672
N_PROJ = N_HC + N_HC + N_HC ** 2 # 4 + 4 + 16 = 24
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mhc = mHCLayer(hidden_dim=D, n_hc=N_HC, device=device, dtype=dtype)
# Random weights matching the expected shapes (fn ordering: pre, post, comb)
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mhc.load_weights(
W_pre = torch.randn(N_HC, K, dtype=torch.float32),
W_post = torch.randn(N_HC, K, dtype=torch.float32),
W_comb = torch.randn(N_HC**2, K, dtype=torch.float32),
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S_pre = torch.zeros(1, N_HC, dtype=dtype),
S_post = torch.zeros(N_HC, 1, dtype=dtype),
S_comb = torch.eye(N_HC, dtype=dtype), # identity: pure residual
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alpha_pre = 0.01,
alpha_post = 0.01,
alpha_comb = 0.01,
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)
T = 4 # 4 tokens
# ── Forward pass ────────────────────────────────────────────────
embeddings = torch.randn(T, D, dtype=dtype, device=device)
X = mHCLayer.init_state(embeddings, n_hc=N_HC)
print(f"X_0: {X.shape} (T={T}, n_hc={N_HC}, d={D})")
for layer_idx in range(2):
x_in, ctx = mhc.pre_block(X)
print(f"\nLayer {layer_idx}:")
print(f" x_in (to sub-layer): {x_in.shape}")
print(f" B_l: {ctx.B_l.shape}")
print(f" C_l: {ctx.C_l.shape}")
F_out = x_in
X = mhc.post_block(X, F_out, ctx)
print(f" X_next: {X.shape}")
hidden = mHCLayer.read_out(X)
print(f"\nFinal hidden: {hidden.shape}")
# ── B_l is doubly stochastic check ──────────────────────────────
print("\n=== Doubly stochastic check ===")
B = ctx.B_l
row_sums = B.sum(dim=-1)
col_sums = B.sum(dim=-2)
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print(f" row sum range: [{row_sums.min():.6f}, {row_sums.max():.6f}] (want ≈ 1.0)")
print(f" col sum range: [{col_sums.min():.6f}, {col_sums.max():.6f}] (want ≈ 1.0)")
assert (row_sums - 1).abs().max() < 1e-3, "B_l rows do not sum to 1"
assert (col_sums - 1).abs().max() < 1e-3, "B_l cols do not sum to 1"
print(" PASSED")
# ── A_l and C_l bounds ────────────────────────────────────────
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A_l, B_l2, C_l = mhc._dynamic_params(X)
print(f"\n=== A_l ∈ (eps, 1+eps) check ===")
print(f" A_l range: [{A_l.min():.4f}, {A_l.max():.4f}] (want ∈ (eps, 1+eps))")
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print(" PASSED")
print(f"\n=== C_l ∈ (0, 2) check ===")
print(f" C_l range: [{C_l.min():.4f}, {C_l.max():.4f}] (want ∈ (0, 2))")
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assert C_l.min() > 0 and C_l.max() < 2, "C_l out of 2*sigmoid range"
print(" PASSED")
# ── Equivalence: T=1 decode vs T=N prefill ──────────────────────
print("\n=== Token-by-token decode == batch prefill ===")
T_big = 8
h_big = torch.randn(T_big, D, dtype=dtype, device=device)
X_batch = mHCLayer.init_state(h_big, n_hc=N_HC)
x_in_batch, ctx_batch = mhc.pre_block(X_batch)
x_in_tokens = []
for t in range(T_big):
X_t = X_batch[t:t+1]
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x_in_t, _ = mhc.pre_block(X_t)
x_in_tokens.append(x_in_t)
x_in_seq = torch.cat(x_in_tokens, dim=0)
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diff = (x_in_batch - x_in_seq).abs().max().item()
print(f" max |batch - sequential| on x_in: {diff:.6f}")
assert diff < 1e-2, f"Mismatch too large: {diff}"
print(" PASSED")
print("\nAll checks done.")
if not _HAS_DEEP_GEMM:
print("\n(deep_gemm not available — used BF16 matmul fallback)")