KernelBench mega · H100
Kimi-Linear Decode MiniMax-M3
wrongdid not score
harnessminimax-claude
Kernel source (redacted)
"""High-performance W4A16 decode solution for the Kimi-Linear hybrid block.
Strategy:
- Fused int4 unpack + per-group dequant + GEMV in Triton (no bf16 materialization).
- KDA recurrence in fp32, with conv and decay all fused inline.
- MLA latent attention via the absorb trick.
- MoE: one grouped-GEMV kernel per linear that runs all 8 routed experts in
a single launch.
"""
from __future__ import annotations
import torch
import torch.nn as nn
import torch.nn.functional as F
from dataclasses import dataclass, field
import triton
import triton.language as tl
EPS = 1.0e-6
GROUP_SIZE = 128
@dataclass(frozen=True)
class Config:
hidden: int = 2304
kda_heads: int = 32
kda_head_dim: int = 128
short_conv: int = 4
mla_heads: int = 32
kv_lora: int = 512
qk_nope: int = 128
qk_rope: int = 64
v_head: int = 128
rope_theta: float = 10000.0
n_experts: int = 64
n_active: int = 8
n_shared: int = 1
moe_inter: int = 1024
routed_scaling: float = 2.446
group: int = 128
pattern: tuple = ("K", "K", "K", "M")
dtype: torch.dtype = field(default=torch.bfloat16)
def build_config(shape: dict) -> Config:
return Config(n_experts=int(shape.get("n_experts", 64)))
def _pack_int4(w_q: torch.Tensor) -> torch.Tensor:
lo = w_q[0::2] & 0xF
hi = w_q[1::2] & 0xF
return (lo | (hi << 4)).contiguous()
def _unpack_int4(w_packed: torch.Tensor, K: int) -> torch.Tensor:
out = torch.empty((K, w_packed.shape[1]), dtype=torch.uint8, device=w_packed.device)
out[0::2] = w_packed & 0xF
out[1::2] = (w_packed >> 4) & 0xF
return out
def quantize(w_io: torch.Tensor, group: int = GROUP_SIZE):
K, N = w_io.shape
ng = K // group
wg = w_io.view(ng, group, N).float()
wmin = wg.min(dim=1, keepdim=True).values
wmax = wg.max(dim=1, keepdim=True).values
scales = (wmax - wmin).clamp_min(1e-8) / 15.0
zeros = (-wmin / scales).round().clamp(0, 15)
w_q = ((wg / scales) + zeros).round().clamp(0, 15).to(torch.uint8).view(K, N)
return _pack_int4(w_q), scales.squeeze(1).to(torch.bfloat16), zeros.squeeze(1).to(torch.bfloat16)
def dequant(w_q, scales, zeros, K, group):
wu = _unpack_int4(w_q, K).to(torch.bfloat16)
s = scales.repeat_interleave(group, dim=0)
z = zeros.repeat_interleave(group, dim=0)
return (wu - z) * s
# --------------------------------------------------------------------------- #
# Triton W4A16 GEMV kernel
# X_DTYPE: 0=bf16 (default), 1=fp32 (for the MoE down-projection so the
# silu*u intermediate stays fp32 end-to-end, no precision loss in the cast)
# --------------------------------------------------------------------------- #
@triton.jit
def _w4a16_gemv_kernel(
x_ptr, wq_ptr, s_ptr, z_ptr, y_ptr,
K, N,
stride_x,
stride_wqk, stride_wqn,
stride_sg, stride_sn,
stride_zg, stride_zn,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
GROUP_SIZE: tl.constexpr,
X_DTYPE: tl.constexpr,
):
pid_n = tl.program_id(0)
n_offs = pid_n * BLOCK_N + tl.arange(0, BLOCK_N)
n_mask = n_offs < N
acc = tl.zeros((BLOCK_N,), dtype=tl.float32)
K_HALF = K // 2
for k_start in range(0, K, BLOCK_K):
half_offs = (k_start // 2) + tl.arange(0, BLOCK_K // 2)
k_offs_even = k_start + 2 * tl.arange(0, BLOCK_K // 2)
k_offs_odd = k_offs_even + 1
k_mask_even = k_offs_even < K
k_mask_odd = k_offs_odd < K
x_even = tl.load(x_ptr + k_offs_even * stride_x, mask=k_mask_even, other=0.0).to(tl.float32)
x_odd = tl.load(x_ptr + k_offs_odd * stride_x, mask=k_mask_odd, other=0.0).to(tl.float32)
wq = tl.load(
wq_ptr + half_offs[:, None] * stride_wqk + n_offs[None, :] * stride_wqn,
mask=(half_offs[:, None] < K_HALF) & n_mask[None, :],
other=0,
)
w_lo = (wq & 0xF).to(tl.float32)
w_hi = ((wq >> 4) & 0xF).to(tl.float32)
g_idx = k_start // GROUP_SIZE
s = tl.load(s_ptr + g_idx * stride_sg + n_offs * stride_sn, mask=n_mask, other=0.0).to(tl.float32)
z = tl.load(z_ptr + g_idx * stride_zg + n_offs * stride_zn, mask=n_mask, other=0.0).to(tl.float32)
dq_scale = s[None, :]
dq_zero = z[None, :]
dq_lo = (w_lo - dq_zero) * dq_scale
dq_hi = (w_hi - dq_zero) * dq_scale
acc += tl.sum(x_even[:, None] * dq_lo, axis=0)
acc += tl.sum(x_odd[:, None] * dq_hi, axis=0)
if X_DTYPE == 0:
tl.store(y_ptr + n_offs, acc.to(tl.bfloat16), mask=n_mask)
else:
tl.store(y_ptr + n_offs, acc, mask=n_mask)
def w4a16_gemv(x, wq, s, z, group=GROUP_SIZE, out=None, block_n=32, num_warps=2, num_stages=2):
K = x.shape[0]
N = wq.shape[1]
is_fp32 = x.dtype == torch.float32
if out is None:
y = torch.empty(N, dtype=torch.float32 if is_fp32 else torch.bfloat16, device=x.device)
else:
y = out
grid = (triton.cdiv(N, block_n),)
_w4a16_gemv_kernel[grid](
x, wq, s, z, y,
K, N,
x.stride(0),
wq.stride(0), wq.stride(1),
s.stride(0), s.stride(1),
z.stride(0), z.stride(1),
BLOCK_N=block_n, BLOCK_K=group, GROUP_SIZE=group,
X_DTYPE=1 if is_fp32 else 0,
num_warps=num_warps, num_stages=num_stages,
)
return y
# --------------------------------------------------------------------------- #
# W4A16 grouped MoE kernel
# --------------------------------------------------------------------------- #
@triton.jit
def _w4a16_grouped_gemv_kernel(
x_ptr, wq_ptr, s_ptr, z_ptr, y_ptr,
E, K, N,
stride_x,
stride_wqe, stride_wqk, stride_wqn,
stride_se, stride_sg, stride_sn,
stride_ze, stride_zg, stride_zn,
stride_ye, stride_yn,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
GROUP_SIZE: tl.constexpr,
X_DTYPE: tl.constexpr,
):
pid_e = tl.program_id(0)
pid_n = tl.program_id(1)
n_offs = pid_n * BLOCK_N + tl.arange(0, BLOCK_N)
n_mask = n_offs < N
acc = tl.zeros((BLOCK_N,), dtype=tl.float32)
K_HALF = K // 2
for k_start in range(0, K, BLOCK_K):
half_offs = (k_start // 2) + tl.arange(0, BLOCK_K // 2)
k_offs_even = k_start + 2 * tl.arange(0, BLOCK_K // 2)
k_offs_odd = k_offs_even + 1
k_mask_even = k_offs_even < K
k_mask_odd = k_offs_odd < K
x_even = tl.load(x_ptr + k_offs_even * stride_x, mask=k_mask_even, other=0.0).to(tl.float32)
x_odd = tl.load(x_ptr + k_offs_odd * stride_x, mask=k_mask_odd, other=0.0).to(tl.float32)
wq = tl.load(
wq_ptr + pid_e * stride_wqe
+ half_offs[:, None] * stride_wqk + n_offs[None, :] * stride_wqn,
mask=(half_offs[:, None] < K_HALF) & n_mask[None, :],
other=0,
)
w_lo = (wq & 0xF).to(tl.float32)
w_hi = ((wq >> 4) & 0xF).to(tl.float32)
g_idx = k_start // GROUP_SIZE
s = tl.load(
s_ptr + pid_e * stride_se + g_idx * stride_sg + n_offs * stride_sn,
mask=n_mask, other=0.0,
).to(tl.float32)
z = tl.load(
z_ptr + pid_e * stride_ze + g_idx * stride_zg + n_offs * stride_zn,
mask=n_mask, other=0.0,
).to(tl.float32)
dq_scale = s[None, :]
dq_zero = z[None, :]
dq_lo = (w_lo - dq_zero) * dq_scale
dq_hi = (w_hi - dq_zero) * dq_scale
acc += tl.sum(x_even[:, None] * dq_lo, axis=0)
acc += tl.sum(x_odd[:, None] * dq_hi, axis=0)
y_ptrs = y_ptr + pid_e * stride_ye + n_offs * stride_yn
if X_DTYPE == 0:
tl.store(y_ptrs, acc.to(tl.bfloat16), mask=n_mask)
else:
tl.store(y_ptrs, acc, mask=n_mask)
def w4a16_grouped_gemv(x, wq, s, z, group=GROUP_SIZE, out=None, block_n=32, num_warps=2, num_stages=2):
E = wq.shape[0]
K = x.shape[0]
N = wq.shape[2]
is_fp32 = x.dtype == torch.float32
if out is None:
y = torch.empty((E, N), dtype=torch.float32 if is_fp32 else torch.bfloat16, device=x.device)
else:
y = out
grid = (E, triton.cdiv(N, block_n))
_w4a16_grouped_gemv_kernel[grid](
x, wq, s, z, y,
E, K, N,
x.stride(0),
wq.stride(0), wq.stride(1), wq.stride(2),
s.stride(0), s.stride(1), s.stride(2),
z.stride(0), z.stride(1), z.stride(2),
y.stride(0), y.stride(1),
BLOCK_N=block_n, BLOCK_K=group, GROUP_SIZE=group,
X_DTYPE=1 if is_fp32 else 0,
num_warps=num_warps, num_stages=num_stages,
)
return y
# --------------------------------------------------------------------------- #
# helpers (mirror reference)
# --------------------------------------------------------------------------- #
def _rmsnorm(x, w):
xf = x.float()
xf = xf * torch.rsqrt(xf.pow(2).mean(-1, keepdim=True) + EPS)
return (xf * w.float()).to(x.dtype)
def _rope_cossin(pos, dim, theta, device):
inv = 1.0 / (theta ** (torch.arange(0, dim, 2, device=device, dtype=torch.float32) / dim))
ang = pos * inv
return torch.cos(ang), torch.sin(ang)
def _apply_rope(x, cos, sin):
xf = x.float()
even, odd = xf[..., 0::2], xf[..., 1::2]
out = torch.empty_like(xf)
out[..., 0::2] = even * cos - odd * sin
out[..., 1::2] = odd * cos + even * sin
return out.to(x.dtype)
# --------------------------------------------------------------------------- #
# W4A16 linear
# --------------------------------------------------------------------------- #
class W4A16Linear(nn.Module):
def __init__(self, in_f: int, out_f: int, group: int = GROUP_SIZE):
super().__init__()
self.in_f, self.out_f, self.group = in_f, out_f, group
ng = in_f // group
self.register_buffer("w_q", torch.zeros(in_f // 2, out_f, dtype=torch.uint8))
self.register_buffer("scales", torch.zeros(ng, out_f, dtype=torch.bfloat16))
self.register_buffer("zeros", torch.zeros(ng, out_f, dtype=torch.bfloat16))
def init_random(self, gen: torch.Generator, std: float = 0.02) -> None:
w = torch.randn(self.in_f, self.out_f, generator=gen) * std
wq, s, z = quantize(w, self.group)
self.w_q.copy_(wq)
self.scales.copy_(s)
self.zeros.copy_(z)
def weight_bf(self) -> torch.Tensor:
return dequant(self.w_q, self.scales, self.zeros, self.in_f, self.group)
def forward(self, x):
return w4a16_gemv(x, self.w_q, self.scales, self.zeros, self.group)
# --------------------------------------------------------------------------- #
# W4A16 experts (grouped)
# --------------------------------------------------------------------------- #
class W4A16Experts(nn.Module):
def __init__(self, n: int, in_f: int, out_f: int, group: int = GROUP_SIZE):
super().__init__()
self.n, self.in_f, self.out_f, self.group = n, in_f, out_f, group
ng = in_f // group
self.register_buffer("w_q", torch.zeros(n, in_f // 2, out_f, dtype=torch.uint8))
self.register_buffer("scales", torch.zeros(n, ng, out_f, dtype=torch.bfloat16))
self.register_buffer("zeros", torch.zeros(n, ng, out_f, dtype=torch.bfloat16))
def init_random(self, gen: torch.Generator, std: float = 0.02) -> None:
for e in range(self.n):
w = torch.randn(self.in_f, self.out_f, generator=gen) * std
wq, s, z = quantize(w, self.group)
self.w_q[e].copy_(wq)
self.scales[e].copy_(s)
self.zeros[e].copy_(z)
def weight_bf(self, e: int):
return dequant(self.w_q[e], self.scales[e], self.zeros[e], self.in_f, self.group)
# --------------------------------------------------------------------------- #
# KDA layer
# --------------------------------------------------------------------------- #
class KDA(nn.Module):
def __init__(self, cfg: Config):
super().__init__()
self.cfg = cfg
H, Dk, d = cfg.kda_heads, cfg.kda_head_dim, cfg.hidden
self.q_proj = W4A16Linear(d, H * Dk, cfg.group)
self.k_proj = W4A16Linear(d, H * Dk, cfg.group)
self.v_proj = W4A16Linear(d, H * Dk, cfg.group)
self.g_proj = W4A16Linear(d, H * Dk, cfg.group)
self.beta_proj = nn.Linear(d, H, bias=False, dtype=cfg.dtype)
self.conv_w = nn.Parameter(torch.empty(3, H * Dk, cfg.short_conv, dtype=cfg.dtype))
self.o_proj = W4A16Linear(H * Dk, d, cfg.group)
self.scale = Dk ** -0.5
def _short_conv(self, val, prev, idx):
win = torch.cat([prev, val[None]], dim=0)
w = self.conv_w[idx].float().transpose(0, 1)
out = (win.float() * w).sum(0)
return F.silu(out).to(val.dtype), win[1:]
def step(self, x, st):
H, Dk = self.cfg.kda_heads, self.cfg.kda_head_dim
q = self.q_proj(x)
k = self.k_proj(x)
v = self.v_proj(x)
q, st["cq"] = self._short_conv(q, st["cq"], 0)
k, st["ck"] = self._short_conv(k, st["ck"], 1)
v, st["cv"] = self._short_conv(v, st["cv"], 2)
q = q.view(H, Dk).float() * self.scale
k = k.view(H, Dk).float()
v = v.view(H, Dk).float()
g = (-F.softplus(self.g_proj(x).float())).view(H, Dk)
beta = torch.sigmoid(self.beta_proj(x).float())
S = st["S"] * g.exp()[:, :, None]
pred = (S * k[:, :, None]).sum(1)
S = S + beta[:, None, None] * k[:, :, None] * (v - pred)[:, None, :]
o = (S * q[:, :, None]).sum(1)
st["S"] = S
return self.o_proj(o.reshape(H * Dk).to(torch.bfloat16))
# --------------------------------------------------------------------------- #
# MLA layer with absorb
# --------------------------------------------------------------------------- #
class MLA(nn.Module):
def __init__(self, cfg: Config):
super().__init__()
self.cfg = cfg
H, d = cfg.mla_heads, cfg.hidden
self.q_proj = W4A16Linear(d, H * (cfg.qk_nope + cfg.qk_rope), cfg.group)
self.kv_a = W4A16Linear(d, cfg.kv_lora + cfg.qk_rope, cfg.group)
self.kv_b = W4A16Linear(cfg.kv_lora, H * (cfg.qk_nope + cfg.v_head), cfg.group)
self.o_proj = W4A16Linear(H * cfg.v_head, d, cfg.group)
self.scale = (cfg.qk_nope + cfg.qk_rope) ** -0.5
def step(self, x, st):
cfg = self.cfg
H = cfg.mla_heads
pos = st["c_kv"].shape[0]
q = self.q_proj(x).view(H, cfg.qk_nope + cfg.qk_rope)
q_nope = q[:, : cfg.qk_nope].float()
q_rope = q[:, cfg.qk_nope:]
kv = self.kv_a(x)
c_kv = kv[: cfg.kv_lora]
k_rope = kv[cfg.kv_lora:]
cos, sin = _rope_cossin(pos, cfg.qk_rope, cfg.rope_theta, x.device)
q_rope = _apply_rope(q_rope, cos, sin).float()
k_rope = _apply_rope(k_rope, cos, sin)
st["c_kv"] = torch.cat([st["c_kv"], c_kv[None]], 0)
st["k_rope"] = torch.cat([st["k_rope"], k_rope[None]], 0)
# Absorb: W_kv_b is (kv_lora, H * (qk_nope + v_head))
# W_k[h, k, d] = W_kv_b[k, h*(qk_nope+v_head) + d] for d in [0, qk_nope)
# W_v[h, k, d] = W_kv_b[k, h*(qk_nope+v_head) + d + qk_nope] for d in [0, v_head)
W_kv_b_bf = self.kv_b.weight_bf().float()
W_k = W_kv_b_bf[:, : H * cfg.qk_nope].view(cfg.kv_lora, H, cfg.qk_nope)
W_v = W_kv_b_bf[:, H * cfg.qk_nope:].view(cfg.kv_lora, H, cfg.v_head)
# A = (H, kv_lora) = einsum('hd,hdk->hk', q_nope, W_k.permute(1, 2, 0))
A = torch.einsum("hd,hdk->hk", q_nope, W_k.permute(1, 2, 0))
c_kv_f = st["c_kv"].float()
scores = A @ c_kv_f.T
scores = scores + q_rope @ st["k_rope"].float().T
scores = scores * self.scale
p = torch.softmax(scores, dim=-1)
B = p @ c_kv_f
output = torch.einsum("hk,hkd->hd", B, W_v.permute(1, 0, 2))
return self.o_proj(output.reshape(H * cfg.v_head).to(torch.bfloat16))
# --------------------------------------------------------------------------- #
# MoE layer (grouped GEMV)
# --------------------------------------------------------------------------- #
class MoE(nn.Module):
def __init__(self, cfg: Config):
super().__init__()
self.cfg = cfg
d, m, E = cfg.hidden, cfg.moe_inter, cfg.n_experts
self.router = nn.Linear(d, E, bias=False, dtype=cfg.dtype)
self.gate = W4A16Experts(E, d, m, cfg.group)
self.up = W4A16Experts(E, d, m, cfg.group)
self.down = W4A16Experts(E, m, d, cfg.group)
self.s_gate = W4A16Experts(cfg.n_shared, d, m, cfg.group)
self.s_up = W4A16Experts(cfg.n_shared, d, m, cfg.group)
self.s_down = W4A16Experts(cfg.n_shared, m, d, cfg.group)
def step(self, x):
cfg = self.cfg
probs = torch.softmax(self.router(x).float(), dim=-1)
w, idx = torch.topk(probs, cfg.n_active)
w = (w / (w.sum() + 1e-9) * cfg.routed_scaling).to(x.dtype)
# Gate and up: bf16 input, bf16 output
g = w4a16_grouped_gemv(
x, self.gate.w_q[idx], self.gate.scales[idx], self.gate.zeros[idx], self.gate.group
)
u = w4a16_grouped_gemv(
x, self.up.w_q[idx], self.up.scales[idx], self.up.zeros[idx], self.up.group
)
hh = F.silu(g.float()) * u.float() # [n_active, moe_inter] fp32
# Down: fp32 input to preserve precision (matches reference's fp32 chain)
d = w4a16_grouped_gemv(
hh, self.down.w_q[idx], self.down.scales[idx], self.down.zeros[idx], self.down.group
)
out = (w[:, None].float() * d.float()).sum(0)
# Shared expert (1)
sidx = torch.zeros(1, dtype=torch.long, device=x.device)
sg = w4a16_grouped_gemv(
x, self.s_gate.w_q[sidx], self.s_gate.scales[sidx], self.s_gate.zeros[sidx], self.s_gate.group
)
su = w4a16_grouped_gemv(
x, self.s_up.w_q[sidx], self.s_up.scales[sidx], self.s_up.zeros[sidx], self.s_up.group
)
sh = F.silu(sg.float()) * su.float()
sd = w4a16_grouped_gemv(
sh, self.s_down.w_q[sidx], self.s_down.scales[sidx], self.s_down.zeros[sidx], self.s_down.group
).squeeze(0)
out = out + sd.float()
return out.to(torch.bfloat16)
# --------------------------------------------------------------------------- #
# Block and Model
# --------------------------------------------------------------------------- #
class Block(nn.Module):
def __init__(self, cfg, kind):
super().__init__()
self.kind = kind
self.attn_norm = nn.Parameter(torch.ones(cfg.hidden, dtype=cfg.dtype))
self.moe_norm = nn.Parameter(torch.ones(cfg.hidden, dtype=cfg.dtype))
self.attn = KDA(cfg) if kind == "K" else MLA(cfg)
self.moe = MoE(cfg)
def step(self, x, st):
h = x + self.attn.step(_rmsnorm(x, self.attn_norm), st)
return h + self.moe.step(_rmsnorm(h, self.moe_norm))
class Model(nn.Module):
def __init__(self, cfg: Config):
super().__init__()
self.cfg = cfg
self.blocks = nn.ModuleList(Block(cfg, k) for k in cfg.pattern)
self.reset_parameters()
def reset_parameters(self):
g = torch.Generator(device="cpu").manual_seed(1234)
for mod in self.modules():
if isinstance(mod, (W4A16Linear, W4A16Experts)):
mod.init_random(g)
elif isinstance(mod, nn.Linear):
nn.init.normal_(mod.weight, 0.0, 0.02, generator=g)
elif isinstance(mod, KDA):
nn.init.normal_(mod.conv_w, 0.0, 0.1, generator=g)
def step(self, hidden, state):
for i, blk in enumerate(self.blocks):
hidden = blk.step(hidden, state[i])
return hidden, state
20260618_211450_minimax-claude_MiniMax-M3_02_kimi_linear_decode