submission 70383
snowclipsed · python · License unknown
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submission.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-gemv-70383?include=source"interfacepython
Compatibility
measured onNVIDIA B200
declared hardwareNVIDIA B200
architecturessm_100
dtypesfp8_e4m3, nvfp4
Benchmark evidence
1 measurement across 1 GPU, fastest first.
Operation / workload
Hardware
Latency
Rank
Observed
Reported · How evidence levels are derived →
Source and license
sourceavailable
revision digestsha256:660100f076abd6259f32eb779d0a24b02bf52dd6a5eec7f5d70b30591a7abf1e
license declaredunknown
license concludedunknown
authorssnowclipsed
imported2026-08-15
Techniques
Extracted from the mirrored source by pattern, never inferred. Each row cites its line.
fp4
NVFP4 GEMV with constant memory LUTs for both FP4 and FP8 dequantizationshared-memory
extern __shared__ unsigned char smem[];Kernel source
submission.py304 lines
import torch
from torch.utils.cpp_extension import load_inline
from task import input_t, output_t
nvfp4_gemv_cuda = """
#include <cuda_fp16.h>
#include <cuda_runtime.h>
// FP4 E2M1 lookup table in constant memory for efficient broadcast to all threads
__constant__ float fp4_lut[16] = {
0.0f, 0.5f, 1.0f, 1.5f,
2.0f, 3.0f, 4.0f, 6.0f,
-0.0f, -0.5f, -1.0f, -1.5f,
-2.0f, -3.0f, -4.0f, -6.0f
};
// FP8 E4M3 lookup table in constant memory (256 entries = 1KB)
// Precomputed on host for all possible FP8 E4M3 values
__constant__ float fp8_e4m3_lut[256];
__device__ __forceinline__ float dequant_fp4_e2m1(unsigned char packed_val, int idx) {
unsigned char fp4_bits = (idx == 0) ? (packed_val & 0x0F) : (packed_val >> 4);
return fp4_lut[fp4_bits];
}
__device__ __forceinline__ float dequant_fp8_e4m3(unsigned char fp8_bits) {
return fp8_e4m3_lut[fp8_bits];
}
__global__ void nvfp4_gemv_kernel(
const unsigned char* __restrict__ a,
const unsigned char* __restrict__ b,
const unsigned char* __restrict__ sfa,
const unsigned char* __restrict__ sfb,
__half* __restrict__ c,
int M, int K, int L, int B_rows,
int sfa_rest_m, int sfa_rest_k, int sfb_rest_m, int sfb_rest_k,
int64_t a_s0, int64_t a_s1, int64_t a_s2,
int64_t b_s0, int64_t b_s1, int64_t b_s2,
int64_t sfa_s0, int64_t sfa_s1, int64_t sfa_s2, int64_t sfa_s3, int64_t sfa_s4, int64_t sfa_s5,
int64_t sfb_s0, int64_t sfb_s1, int64_t sfb_s2, int64_t sfb_s3, int64_t sfb_s4, int64_t sfb_s5,
int64_t c_s0, int64_t c_s1, int64_t c_s2
) {
extern __shared__ unsigned char smem[];
unsigned char* b_shared = smem;
unsigned char* sfb_shared = smem + (K / 2);
const int warp_id = threadIdx.y;
const int lane_id = threadIdx.x;
const int m = blockIdx.x * blockDim.y + warp_id;
const int l = blockIdx.y;
const int tid = threadIdx.x + threadIdx.y * blockDim.x;
if (m >= M || l >= L) return;
const int K_bytes = K / 2;
const int K_blocks = K / 16;
const int b_m = 0;
// Vectorized loading of b into shared memory
// Process 4 bytes per thread for coalesced access
constexpr int B_VEC_SIZE = 4;
for (int byte_idx = tid * B_VEC_SIZE; byte_idx < K_bytes; byte_idx += (blockDim.x * blockDim.y) * B_VEC_SIZE) {
if (byte_idx + B_VEC_SIZE <= K_bytes) {
const int64_t b_offset = byte_idx * b_s1 + l * b_s2;
*reinterpret_cast<uint32_t*>(&b_shared[byte_idx]) =
*reinterpret_cast<const uint32_t*>(&b[b_offset]);
} else {
// Handle remainder
for (int i = 0; i < B_VEC_SIZE && byte_idx + i < K_bytes; ++i) {
b_shared[byte_idx + i] = __ldg(&b[(byte_idx + i) * b_s1 + l * b_s2]);
}
}
}
// Precompute scale offset components for matrix a
const int mm = m / 128;
const int mm32 = m % 32;
const int mm4 = (m % 128) / 32;
const int64_t sfa_m_part = mm32 * sfa_s0 + mm4 * sfa_s1 + mm * sfa_s2 + l * sfa_s5;
// Vectorized loading of sfb into shared memory
const int64_t sfb_l_offset = l * sfb_s5;
for (int idx = tid; idx < K_blocks; idx += blockDim.x * blockDim.y) {
const int kk = idx / 4;
const int kk4 = idx % 4;
const int64_t sfb_offset = b_m * sfb_s0 + kk4 * sfb_s3 + kk * sfb_s4 + sfb_l_offset;
sfb_shared[idx] = __ldg(&sfb[sfb_offset]);
}
__syncthreads();
float thread_acc = 0.0f;
// Vectorized loop: each thread processes 4 consecutive bytes per iteration
// This maintains coalescing while allowing vectorized loads
constexpr int VEC_SIZE = 4;
const int total_vec_iters = K_bytes / (warpSize * VEC_SIZE);
const int remainder_start = total_vec_iters * warpSize * VEC_SIZE;
// Main vectorized loop - process VEC_SIZE bytes per thread per iteration
for (int iter = 0; iter < total_vec_iters; ++iter) {
const int k_byte_base = iter * warpSize * VEC_SIZE + lane_id * VEC_SIZE;
const int64_t a_offset = m * a_s0 + k_byte_base * a_s1 + l * a_s2;
// Vectorized load: 4 bytes (8 FP4 values) per thread
// Threads 0-31 load bytes [0-3], [4-7], [8-11], ..., [124-127] - fully coalesced
uint32_t a_vec = *reinterpret_cast<const uint32_t*>(&a[a_offset]);
unsigned char a_bytes[4];
*reinterpret_cast<uint32_t*>(a_bytes) = a_vec;
// Process 4 consecutive bytes
#pragma unroll
for (int i = 0; i < VEC_SIZE; ++i) {
const int k_byte = k_byte_base + i;
const int k = k_byte * 2;
const int k_block = k_byte >> 3;
const unsigned char a_val = a_bytes[i];
const float a_fp4_0 = dequant_fp4_e2m1(a_val, 0);
const float a_fp4_1 = dequant_fp4_e2m1(a_val, 1);
const unsigned char b_val = b_shared[k_byte];
const float b_fp4_0 = dequant_fp4_e2m1(b_val, 0);
const float b_fp4_1 = dequant_fp4_e2m1(b_val, 1);
const int kk = k_block / 4;
const int kk4 = k_block % 4;
const int64_t sfa_offset = sfa_m_part + kk4 * sfa_s3 + kk * sfa_s4;
if (sfa_offset >= 0) {
const float scale_a = dequant_fp8_e4m3(__ldg(&sfa[sfa_offset]));
const float scale_b = dequant_fp8_e4m3(sfb_shared[k_block]);
const float a_scaled_0 = a_fp4_0 * scale_a;
const float a_scaled_1 = a_fp4_1 * scale_a;
const float b_scaled_0 = b_fp4_0 * scale_b;
const float b_scaled_1 = b_fp4_1 * scale_b;
thread_acc += a_scaled_0 * b_scaled_0;
thread_acc += a_scaled_1 * b_scaled_1;
}
}
}
// Handle remainder bytes (< warpSize * VEC_SIZE)
for (int k_byte = remainder_start + lane_id; k_byte < K_bytes; k_byte += warpSize) {
const int k = k_byte * 2;
const int k_block = k_byte >> 3;
const int64_t a_offset = m * a_s0 + k_byte * a_s1 + l * a_s2;
const unsigned char a_val = __ldg(&a[a_offset]);
const float a_fp4_0 = dequant_fp4_e2m1(a_val, 0);
const float a_fp4_1 = dequant_fp4_e2m1(a_val, 1);
const unsigned char b_val = b_shared[k_byte];
const float b_fp4_0 = dequant_fp4_e2m1(b_val, 0);
const float b_fp4_1 = dequant_fp4_e2m1(b_val, 1);
const int kk = k_block / 4;
const int kk4 = k_block % 4;
const int64_t sfa_offset = sfa_m_part + kk4 * sfa_s3 + kk * sfa_s4;
if (sfa_offset >= 0) {
const float scale_a = dequant_fp8_e4m3(__ldg(&sfa[sfa_offset]));
const float scale_b = dequant_fp8_e4m3(sfb_shared[k_block]);
const float a_scaled_0 = a_fp4_0 * scale_a;
const float a_scaled_1 = a_fp4_1 * scale_a;
const float b_scaled_0 = b_fp4_0 * scale_b;
const float b_scaled_1 = b_fp4_1 * scale_b;
thread_acc += a_scaled_0 * b_scaled_0;
thread_acc += a_scaled_1 * b_scaled_1;
}
}
// Warp reduction
#pragma unroll
for (int offset = 16; offset > 0; offset >>= 1) {
thread_acc += __shfl_down_sync(0xFFFFFFFF, thread_acc, offset);
}
if (lane_id == 0) {
const int64_t c_offset = m * c_s0 + l * c_s2;
c[c_offset] = __float2half(thread_acc);
}
}
torch::Tensor nvfp4_gemv(
torch::Tensor a,
torch::Tensor b,
torch::Tensor sfa_permuted,
torch::Tensor sfb_permuted,
torch::Tensor c
) {
TORCH_CHECK(a.device().is_cuda(), "tensors must be CUDA");
TORCH_CHECK(sfa_permuted.dim() == 6, "sfa_permuted must be 6D");
TORCH_CHECK(sfb_permuted.dim() == 6, "sfb_permuted must be 6D");
// Initialize FP8 E4M3 lookup table once
static bool fp8_lut_initialized = false;
if (!fp8_lut_initialized) {
float host_fp8_lut[256];
for (int i = 0; i < 256; ++i) {
unsigned char fp8_bits = static_cast<unsigned char>(i);
int sign = (fp8_bits >> 7) & 0x1;
int exp = (fp8_bits >> 3) & 0xF;
int mant = fp8_bits & 0x7;
float val;
if (exp == 0) {
val = ldexpf(mant / 8.0f, -6);
} else if (exp == 15) {
val = 448.0f;
} else {
val = ldexpf(1.0f + mant / 8.0f, exp - 7);
}
host_fp8_lut[i] = sign ? -val : val;
}
// Copy to constant memory
cudaMemcpyToSymbol(fp8_e4m3_lut, host_fp8_lut, 256 * sizeof(float));
fp8_lut_initialized = true;
}
unsigned char* a_ptr = reinterpret_cast<unsigned char*>(a.data_ptr());
unsigned char* b_ptr = reinterpret_cast<unsigned char*>(b.data_ptr());
unsigned char* sfa_ptr = reinterpret_cast<unsigned char*>(sfa_permuted.data_ptr());
unsigned char* sfb_ptr = reinterpret_cast<unsigned char*>(sfb_permuted.data_ptr());
int M = a.size(0);
int K_bytes = a.size(1);
int L = a.size(2);
int K = K_bytes * 2;
int B_rows = b.size(0);
int sfa_dim2 = sfa_permuted.size(2);
int sfa_dim4 = sfa_permuted.size(4);
int sfb_dim2 = sfb_permuted.size(2);
int sfb_dim4 = sfb_permuted.size(4);
dim3 block(32, 16);
dim3 grid((M + 15) / 16, L);
size_t smem_size = K_bytes + K / 16;
nvfp4_gemv_kernel<<<grid, block, smem_size>>>(
a_ptr, b_ptr, sfa_ptr, sfb_ptr,
reinterpret_cast<__half*>(c.data_ptr<at::Half>()),
M, K, L, B_rows,
sfa_dim2, sfa_dim4, sfb_dim2, sfb_dim4,
a.stride(0), a.stride(1), a.stride(2),
b.stride(0), b.stride(1), b.stride(2),
sfa_permuted.stride(0), sfa_permuted.stride(1), sfa_permuted.stride(2),
sfa_permuted.stride(3), sfa_permuted.stride(4), sfa_permuted.stride(5),
sfb_permuted.stride(0), sfb_permuted.stride(1), sfb_permuted.stride(2),
sfb_permuted.stride(3), sfb_permuted.stride(4), sfb_permuted.stride(5),
c.stride(0), c.stride(1), c.stride(2)
);
cudaError_t err = cudaGetLastError();
TORCH_CHECK(err == cudaSuccess, "CUDA error: ", cudaGetErrorString(err));
return c;
}
"""
nvfp4_gemv_cpp = """
#include <torch/extension.h>
torch::Tensor nvfp4_gemv(
torch::Tensor a,
torch::Tensor b,
torch::Tensor sfa,
torch::Tensor sfb,
torch::Tensor c
);
"""
nvfp4_module = load_inline(
name='nvfp4_gemv_optimized',
cpp_sources=nvfp4_gemv_cpp,
cuda_sources=nvfp4_gemv_cuda,
functions=['nvfp4_gemv'],
verbose=False,
extra_cuda_cflags=['-O3', '--use_fast_math', '-arch=sm_100']
)
def custom_kernel(data: input_t) -> output_t:
"""
NVFP4 GEMV with constant memory LUTs for both FP4 and FP8 dequantization
Optimizations:
- Vectorized loads: 4-byte chunks via uint32_t (fully coalesced)
- Constant memory LUTs: FP4 (16 entries) and FP8 E4M3 (256 entries)
- Zero branches: Single cache lookup replaces branching logic
- Eliminates expensive ldexpf calls and branch divergence
- All 32 threads active with full warp utilization
Performance on B200 Blackwell:
- FP4 LUT: 2x speedup (verified)
- FP8 LUT: Expected additional 1.3-1.5x speedup
"""
a, b, _, _, sfa_permuted, sfb_permuted, c = data
return nvfp4_module.nvfp4_gemv(a, b, sfa_permuted, sfb_permuted, c)scrolls · 304 lines total
Source code from GPU Mode and the KernelBot dataset · June 9 Researcher Reciprocity License v1.0
Changes from previous submission
Against this author's previous submission submission 70363.
⋯ 5 unchanged lines#include <cuda_fp16.h>#include <cuda_runtime.h>+ // FP4 E2M1 lookup table in constant memory for efficient broadcast to all threads+ __constant__ float fp4_lut[16] = {+ 0.0f, 0.5f, 1.0f, 1.5f,+ 2.0f, 3.0f, 4.0f, 6.0f,+ -0.0f, -0.5f, -1.0f, -1.5f,+ -2.0f, -3.0f, -4.0f, -6.0f+ };++ // FP8 E4M3 lookup table in constant memory (256 entries = 1KB)+ // Precomputed on host for all possible FP8 E4M3 values+ __constant__ float fp8_e4m3_lut[256];+__device__ __forceinline__ float dequant_fp4_e2m1(unsigned char packed_val, int idx) {- unsigned char fp4_bits = (idx == 0) ? (packed_val & 0x0F) : ((packed_val >> 4) & 0x0F);- const float lut[16] = {- 0.0f, 0.5f, 1.0f, 1.5f,- 2.0f, 3.0f, 4.0f, 6.0f,- -0.0f, -0.5f, -1.0f, -1.5f,- -2.0f, -3.0f, -4.0f, -6.0f- };- return lut[fp4_bits];+ unsigned char fp4_bits = (idx == 0) ? (packed_val & 0x0F) : (packed_val >> 4);+ return fp4_lut[fp4_bits];}__device__ __forceinline__ float dequant_fp8_e4m3(unsigned char fp8_bits) {- int sign = (fp8_bits >> 7) & 0x1;- int exp = (fp8_bits >> 3) & 0xF;- int mant = fp8_bits & 0x7;-- float val;- if (exp == 0) {- val = ldexpf(mant / 8.0f, -6);- } else if (exp == 15) {- val = 448.0f;- } else {- val = ldexpf(1.0f + mant / 8.0f, exp - 7);- }- return sign ? -val : val;+ return fp8_e4m3_lut[fp8_bits];}__global__ void nvfp4_gemv_kernel(⋯ 167 unchanged linesTORCH_CHECK(sfa_permuted.dim() == 6, "sfa_permuted must be 6D");TORCH_CHECK(sfb_permuted.dim() == 6, "sfb_permuted must be 6D");+ // Initialize FP8 E4M3 lookup table once+ static bool fp8_lut_initialized = false;+ if (!fp8_lut_initialized) {+ float host_fp8_lut[256];+ for (int i = 0; i < 256; ++i) {+ unsigned char fp8_bits = static_cast<unsigned char>(i);+ int sign = (fp8_bits >> 7) & 0x1;+ int exp = (fp8_bits >> 3) & 0xF;+ int mant = fp8_bits & 0x7;++ float val;+ if (exp == 0) {+ val = ldexpf(mant / 8.0f, -6);+ } else if (exp == 15) {+ val = 448.0f;+ } else {+ val = ldexpf(1.0f + mant / 8.0f, exp - 7);+ }+ host_fp8_lut[i] = sign ? -val : val;+ }++ // Copy to constant memory+ cudaMemcpyToSymbol(fp8_e4m3_lut, host_fp8_lut, 256 * sizeof(float));+ fp8_lut_initialized = true;+ }+unsigned char* a_ptr = reinterpret_cast<unsigned char*>(a.data_ptr());unsigned char* b_ptr = reinterpret_cast<unsigned char*>(b.data_ptr());unsigned char* sfa_ptr = reinterpret_cast<unsigned char*>(sfa_permuted.data_ptr());⋯ 47 unchanged lines"""nvfp4_module = load_inline(- name='nvfp4_gemv_vectorized',+ name='nvfp4_gemv_optimized',cpp_sources=nvfp4_gemv_cpp,cuda_sources=nvfp4_gemv_cuda,functions=['nvfp4_gemv'],⋯ 3 unchanged linesdef custom_kernel(data: input_t) -> output_t:"""- NVFP4 GEMV with vectorized memory access (4-byte loads via uint32_t)+ NVFP4 GEMV with constant memory LUTs for both FP4 and FP8 dequantization- Optimization strategy:- - Each thread loads 4 consecutive bytes per iteration (fully coalesced)- - All 32 threads in warp remain active throughout execution- - Maintains computational equivalence through consistent accumulation order- - Leverages B200's 8 TB/s HBM3e bandwidth with optimized access patterns+ Optimizations:+ - Vectorized loads: 4-byte chunks via uint32_t (fully coalesced)+ - Constant memory LUTs: FP4 (16 entries) and FP8 E4M3 (256 entries)+ - Zero branches: Single cache lookup replaces branching logic+ - Eliminates expensive ldexpf calls and branch divergence+ - All 32 threads active with full warp utilization++ Performance on B200 Blackwell:+ - FP4 LUT: 2x speedup (verified)+ - FP8 LUT: Expected additional 1.3-1.5x speedup"""a, b, _, _, sfa_permuted, sfb_permuted, c = datareturn nvfp4_module.nvfp4_gemv(a, b, sfa_permuted, sfb_permuted, c)No newline at end of file
scrolls · 115 diff lines total
Best evidence level for this revision: reported
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