nvfp4_dual_gemm / reference.py
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import torch
from task import input_t, output_t
from utils import make_match_reference
from laguna_dual_gemm import custom_kernel
import numpy as np
from quack.gemm_interface import gemm_gated
import torch.nn.functional as F
# Scaling factor vector size
sf_vec_size = 16
# Helper function for ceiling division
def ceil_div(a, b):
return (a + b - 1) // b
# Helper function to convert scale factor tensor to blocked format
def to_blocked(input_matrix):
rows, cols = input_matrix.shape
# Please ensure rows and cols are multiples of 128 and 4 respectively
n_row_blocks = ceil_div(rows, 128)
n_col_blocks = ceil_div(cols, 4)
padded = input_matrix
blocks = padded.view(n_row_blocks, 128, n_col_blocks, 4).permute(0, 2, 1, 3)
rearranged = blocks.reshape(-1, 4, 32, 4).transpose(1, 2).reshape(-1, 32, 16)
return rearranged.flatten()
@torch.compile
def ref_kernel(
data: input_t,
) -> output_t:
"""
PyTorch reference implementation of NVFP4 block-scaled dual GEMM with silu activation,
C = silu(A @ B1) * (A @ B2).
"""
a_ref, b1_ref, b2_ref, sfa_ref_cpu, sfb1_ref_cpu, sfb2_ref_cpu, _, _, _, c_ref = data
# Get dimensions from MxNxL layout
m, n, l = c_ref.shape
# Call torch._scaled_mm to compute the GEMV result
ref1 = torch.empty(
(l, m, n),
dtype=torch.float32,
device="cuda",
).permute(1, 2, 0)
ref2 = torch.empty(
(l, m, n),
dtype=torch.float32,
device="cuda",
).permute(1, 2, 0)
for l_idx in range(l):
# Convert the scale factor tensor to blocked format
scale_a = to_blocked(sfa_ref_cpu[:, :, l_idx])
scale_b1 = to_blocked(sfb1_ref_cpu[:, :, l_idx])
scale_b2 = to_blocked(sfb2_ref_cpu[:, :, l_idx])
# (m, k) @ (n, k).T -> (m, n)
res1 = torch._scaled_mm(
a_ref[:, :, l_idx],
b1_ref[:, :, l_idx].transpose(0, 1),
scale_a.cuda(),
scale_b1.cuda(),
bias=None,
out_dtype=torch.float32,
)
ref1[:, :, l_idx] = res1
res2 = torch._scaled_mm(
a_ref[:, :, l_idx],
b2_ref[:, :, l_idx].transpose(0, 1),
scale_a.cuda(),
scale_b2.cuda(),
bias=None,
out_dtype=torch.float32,
)
ref2[:, :, l_idx] = res2
# Do silu on the first GEMM result and multiply with the second GEMM result
c_ref = (torch.nn.functional.silu(ref1) * ref2).to(torch.float16)
return c_ref
def generate_input(
m: int,
n: int,
k: int,
l: int,
seed: int,
):
"""
Generate input tensors for NVFP4 block-scaled dual GEMM with silu activation,
C = silu(A @ B1) * (A @ B2).
Args:
m: Number of rows in matrix A
n: Number of columns in matrix B1 and B2
k: Number of columns in A and rows of B1 and B2
l: Batch size
seed: Random seed for reproducibility
Returns:
Tuple of (a, b, scale_a, scale_b, c) where:
a: [m, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
b1: [n, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
b2: [n, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
scale_a: [m, k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b1: [n, k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b2: [n, k, l] - Input scale factors in torch.float8e4m3fn data type
scale_a_permuted: [32, 4, rest_m, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b1_permuted: [32, 4, rest_n, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b2_permuted: [32, 4, rest_n, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
c: [m, n, l] - Output matrix in torch.float16 data type
"""
torch.manual_seed(seed)
def create_fp4_tensors(l, mn, k):
# generate uint8 tensor, then convert to float4e2m1fn_x2 data type
# generate all bit patterns
ref_i8 = torch.randint(255, size=(l, mn, k // 2), dtype=torch.uint8, device="cuda")
# for each nibble, only keep the sign bit and 2 LSBs
# the possible values are [-1.5, -1, -0.5, 0, +0.5, +1, +1.5]
ref_i8 = ref_i8 & 0b1011_1011
return ref_i8.permute(1, 2, 0).view(torch.float4_e2m1fn_x2)
# Generate uint8 tensor, then convert to float4e2m1fn_x2 data type
a_ref = create_fp4_tensors(l, m, k)
b1_ref = create_fp4_tensors(l, n, k)
b2_ref = create_fp4_tensors(l, n, k)
a_ref = a_ref.view(torch.float4_e2m1fn_x2)
b1_ref = b1_ref.view(torch.float4_e2m1fn_x2)
b2_ref = b2_ref.view(torch.float4_e2m1fn_x2)
# Create float16 output tensor
c_ref = torch.randn((l, m, n), dtype=torch.float16, device="cuda").permute(
1, 2, 0
)
# Helper function to prepare the scale factor tensors for both reference
# kernel and customize kernel. The customized data layout can be found in:
# https://docs.nvidia.com/cuda/cublas/index.html?highlight=fp4#d-block-scaling-factors-layout
def create_scale_factor_tensors(l, mn, sf_k):
# Create the reference scale factor tensor (mn, sf_k, l) on CPU.
ref_shape = (l, mn, sf_k)
ref_permute_order = (1, 2, 0)
# Init with fp32 tensor in [0,1), then convert to float8_e4m3fn
ref_f8_random_fp32 = torch.rand(ref_shape, dtype=torch.float32, device='cuda')
ref_f8_torch_tensor = ref_f8_random_fp32.to(dtype=torch.float8_e4m3fn)
# permute to match ref_permute_order
ref_f8_torch_tensor_permuted = ref_f8_torch_tensor.permute(*ref_permute_order)
atom_m = (32, 4)
atom_k = 4
mma_shape = (
l, # batch size
ceil_div(mn, atom_m[0] * atom_m[1]),
ceil_div(sf_k, atom_k),
atom_m[0],
atom_m[1],
atom_k,
)
# Reorder scale factor tensor to (32, 4, rest_m, 4, rest_k, l) layout
# Which is needed by the CuTe customized kernel
mma_permute_order = (3, 4, 1, 5, 2, 0)
# Generate a random int8 tensor, then convert to float8_e4m3fn
rand_int_tensor = torch.empty(mma_shape, dtype=torch.int8, device='cuda')
reordered_f8_torch_tensor = rand_int_tensor.to(dtype=torch.float8_e4m3fn)
# Permute according to mma_permute_order
reordered_f8_torch_tensor = reordered_f8_torch_tensor.permute(*mma_permute_order)
# GPU-side vectorized reordering (replaces slow CPU nested loops)
# Create index grids for all dimensions
i_idx = torch.arange(mn, device='cuda')
j_idx = torch.arange(sf_k, device='cuda')
b_idx = torch.arange(l, device='cuda')
# Create meshgrid for all combinations of (i, j, b)
i_grid, j_grid, b_grid = torch.meshgrid(i_idx, j_idx, b_idx, indexing='ij')
# Calculate target indices in vectorized manner
mm = i_grid // (atom_m[0] * atom_m[1])
mm32 = i_grid % atom_m[0]
mm4 = (i_grid % 128) // atom_m[0]
kk = j_grid // atom_k
kk4 = j_grid % atom_k
# Perform the reordering with advanced indexing (all on GPU)
reordered_f8_torch_tensor[mm32, mm4, mm, kk4, kk, b_grid] = ref_f8_torch_tensor_permuted[i_grid, j_grid, b_grid]
return ref_f8_torch_tensor_permuted.cpu(), reordered_f8_torch_tensor
sf_k = ceil_div(k, sf_vec_size)
sfa_ref_cpu, sfa_ref_permuted = create_scale_factor_tensors(l, m, sf_k)
sfb1_ref_cpu, sfb1_ref_permuted = create_scale_factor_tensors(l, n, sf_k)
sfb2_ref_cpu, sfb2_ref_permuted = create_scale_factor_tensors(l, n, sf_k)
return (a_ref, b1_ref, b2_ref, sfa_ref_cpu.to("cuda"), sfb1_ref_cpu.to("cuda"), sfb2_ref_cpu.to("cuda"), sfa_ref_permuted, sfb1_ref_permuted, sfb2_ref_permuted, c_ref)
def run_comprehensive_benchmark(custom_kernel, reference_fn, data, sonic_moe_layer, warmups=20, reps=100):
# Profile Custom Kernel
for _ in range(warmups):
_ = custom_kernel(data)
torch.cuda.synchronize()
c_start = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
c_end = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
for i in range(reps):
c_start[i].record()
_ = custom_kernel(data)
c_end[i].record()
torch.cuda.synchronize()
custom_times = [s.elapsed_time(e) for s, e in zip(c_start, c_end)]
custom_ms = np.mean(custom_times)
# Profile PyTorch Reference Path
for _ in range(warmups):
_ = reference_fn(data)
torch.cuda.synchronize()
ref_start = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
ref_end = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
for i in range(reps):
ref_start[i].record()
_ = reference_fn(data)
ref_end[i].record()
torch.cuda.synchronize()
ref_times = [s.elapsed_time(e) for s, e in zip(ref_start, ref_end)]
ref_ms = np.mean(ref_times)
# Profile SonicMoE Path
# SonicMoE expects a flat token tensor [M, Hidden_Size] where M=4096
M, N, K = 4096, 512, 2048
sonic_x = torch.randn(M, K, device="cuda", dtype=torch.bfloat16)
with torch.no_grad():
for _ in range(warmups):
_, _ = sonic_moe_layer(sonic_x, kernel_backend_moe=KernelBackendMoE.sonicmoe)
torch.cuda.synchronize()
sonic_start = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
sonic_end = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
for i in range(reps):
sonic_start[i].record()
_, _ = sonic_moe_layer(sonic_x, kernel_backend_moe=KernelBackendMoE.sonicmoe)
sonic_end[i].record()
torch.cuda.synchronize()
sonic_times = [s.elapsed_time(e) for s, e in zip(sonic_start, sonic_end)]
sonic_ms = np.mean(sonic_times)
# Compute TFLOPs (4 * M * N * K ops total)
M, N, K = 4096, 512, 2048
flops = 4 * M * N * K
sonic_flops = 6 * M * N * K # Full layer (Up-projection + Down-projection)
custom_tflops = (flops / (custom_ms / 1000.0)) / 1e12
ref_tflops = (flops / (ref_ms / 1000.0)) / 1e12
sonic_tflops = (sonic_flops / (sonic_ms / 1000.0)) / 1e12
print(f"\n📊 B200 Performance Comparison (M={M}, N={N}, K={K}):")
print(f" {'Implementation':<20} | {'Latency':<12} | {'Throughput':<15}")
print(f" {'-'*20}-+-{'-'*12}-+-{'-'*15}")
print(f" {'PyTorch Reference':<20} | {ref_ms:8.4f} ms | {ref_tflops:10.2f} TFLOPs")
print(f" {'SonicMoE Kernel':<20} | {sonic_ms:8.4f} ms | {sonic_tflops:10.2f} TFLOPs")
print(f" {'Custom CuTe Kernel':<20} | {custom_ms:8.4f} ms | {custom_tflops:10.2f} TFLOPs")
print(f" ⚡ Speedup vs SonicMoE: {sonic_ms / custom_ms:.2f}x")
def benchmark_fair_fused_swiglu(custom_kernel, ref_kernel, data, warmups=20, reps=100):
# Extract dimensions dynamically from the provided data tuple.
M = data[-1].shape[0]
N = data[-1].shape[1]
# The float4e2m1fn_x2 datatype packs 2 elements per byte
K = data[0].shape[1] * 2
print(f"Setting up Fair Fused SwiGLU Benchmark (M={M}, N={N}, K={K})...")
# --- 1. Setup Data for BF16 Baselines ---
x_bf16 = torch.randn(M, K, device="cuda", dtype=torch.bfloat16)
w_concat_bf16 = torch.randn(K, N * 2, device="cuda", dtype=torch.bfloat16)
out_bf16 = torch.empty(M, N, device="cuda", dtype=torch.bfloat16)
# --- 2. Setup PyTorch Compiled (BF16) ---
def pytorch_swiglu(x, w):
y = torch.matmul(x, w)
# Match QuACK's exact interleaving to keep the memory access pattern identical
gate = y[..., ::2]
up = y[..., 1::2]
return F.silu(gate) * up
print("Triggering torch.compile (this will take a minute for max-autotune)...")
compiled_pytorch_swiglu = torch.compile(pytorch_swiglu, mode="max-autotune")
# Force compilation to finish before the timing loop
_ = compiled_pytorch_swiglu(x_bf16, w_concat_bf16)
def pt_compiled_bf16():
_ = compiled_pytorch_swiglu(x_bf16, w_concat_bf16)
# --- 3. Setup QuACK Fused Gated GEMM (BF16) ---
def quack_fused_bf16():
_ = gemm_gated(
A=x_bf16,
B=w_concat_bf16,
activation="swiglu",
postact_out=out_bf16,
store_preact=False
)
# --- 4. Setup Custom Fused Dual GEMM (NVFP4) ---
def custom_fp4_fused():
_ = custom_kernel(data)
# --- Timing Helper ---
def time_fn(fn):
for _ in range(warmups): fn()
torch.cuda.synchronize()
start = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
end = [torch.cuda.Event(enable_timing=True) for _ in range(reps)]
for i in range(reps):
start[i].record()
fn()
end[i].record()
torch.cuda.synchronize()
return np.mean([s.elapsed_time(e) for s, e in zip(start, end)])
# --- Execute and Measure ---
print("\nBenchmarking PyTorch Compiled (BF16)...")
pt_ms = time_fn(pt_compiled_bf16)
print("Benchmarking QuACK Fused Gated GEMM (BF16)...")
quack_ms = time_fn(quack_fused_bf16)
print("Benchmarking Custom Fused Dual GEMM (NVFP4)...")
custom_ms = time_fn(custom_fp4_fused)
# Base floating-point operations: 2 * (A*Gate) + 2 * (A*Up) = 4 * M * N * K
flops = 4 * M * N * K
pt_tflops = (flops / (pt_ms / 1000.0)) / 1e12
quack_tflops = (flops / (quack_ms / 1000.0)) / 1e12
custom_tflops = (flops / (custom_ms / 1000.0)) / 1e12
# --- Output ---
print(f"\n📊 Fair Fused Compute Comparison (M={M}, N={N}, K={K}):")
print(f" {'Implementation':<25} | {'Latency':<10} | {'Throughput':<15}")
print(f" {'-'*25}-+-{'-'*10}-+-{'-'*15}")
print(f" {'PyTorch Compiled (BF16)':<25} | {pt_ms:7.4f} ms | {pt_tflops:10.2f} TFLOPs")
print(f" {'QuACK gemm_gated (BF16)':<25} | {quack_ms:7.4f} ms | {quack_tflops:10.2f} TFLOPs")
print(f" {'Custom Fused (NVFP4)':<25} | {custom_ms:7.4f} ms | {custom_tflops:10.2f} TFLOPs")
print(f"\n⚡ Hardware Speedup (NVFP4 over PT BF16): {custom_tflops / pt_tflops:.2f}x")
check_implementation = make_match_reference(ref_kernel, rtol=1e-03, atol=1e-03)
if __name__ == "__main__":
# Laguna XS.2 shapes: Hidden (K) = 2048, Intermediate (N) = 512
# M = Sequence length / tokens processed. Shared expert processes everything.
print("---------------Laguna_XS.2-----------------")
m, n, k, l = 4096, 512, 2048, 1
print(f"Generating NVFP4 inputs for Laguna XS.2 Shared Expert (M={m}, N={n}, K={k})...")
data = generate_input(m, n, k, l, seed=42)
print("Executing CuTe DualGEMM kernel (A*B1, A*B2) + SiLU fusion...")
c_out = custom_kernel(data)
print("Validating against PyTorch reference block-scaled GEMM...")
check_implementation(data, c_out)
print("Passed")
print("Running production-grade benchmark...")
benchmark_fair_fused_swiglu(custom_kernel, ref_kernel, data)
print("---------------Laguna_XM.1-----------------")
m, n, k, l = 4096, 512*8, 2048*8, 1
print(f"Generating NVFP4 inputs for Laguna XM.1 Shared Expert (M={m}, N={n}, K={k})...")
data = generate_input(m, n, k, l, seed=42)
print("Executing CuTe DualGEMM kernel (A*B1, A*B2) + SiLU fusion...")
c_out = custom_kernel(data)
print("Validating against PyTorch reference block-scaled GEMM...")
check_implementation(data, c_out)
print("Passed")
print("Running production-grade benchmark...")
benchmark_fair_fused_swiglu(custom_kernel, ref_kernel, data)