correct
13_FarthestPointSampling3D.py
started
2026-05-11T18:47:48Z
timingkernelbench.timing
kernel mean / median / std
0.16 / — / 1.68e-04 μs
ref mean / median / std
11.20 / — / 0.68 μs
numerical precisioneval_kernel_against_ref
gpu memoryextended_metrics.measure_memory
kernel launches / fusiontorch.profiler
fusion ratio (ref / kernel)
2054.00x
energyNVML (pynvml)
ratio (ref / kernel)
5.96x
SOL (speed-of-light)nsight_hardware_counters
roofline / occupancynsight_hardware_counters
warp stalls (top 5)nsight
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn
# Default ModelNew is PyTorch-only. run_and_check: use check_kernel=False with backend=cuda
# until the candidate file contains a real CUDA kernel (see kernel_static_checker).
class Model(nn.Module):
"""
Farthest Point Sampling (FPS) on 3D point coordinates (B, N, 3).
Used in navigation / manipulation perception (PointNet++, PVCNN, voxelization
pipelines) to subsample a dense cloud while spreading support across the shape.
Greedy construction (reference fusion target): fix the first index to **0** for
determinism, then repeatedly choose the point whose **minimum** squared distance
to the set of already chosen points is **largest** (classical FPS).
"""
def __init__(self, num_samples: int):
super().__init__()
assert num_samples >= 1
self.num_samples = num_samples
def forward(self, points: torch.Tensor) -> torch.Tensor:
"""
Args:
points: (B, N, 3) point coordinates.
Returns:
indices: (B, M) int64, each row is M chosen indices in [0, N).
"""
B, N, _ = points.shape
M = self.num_samples
assert M <= N, "FPS cannot sample more points than exist"
device = points.device
dtype = points.dtype
batch_idx = torch.arange(B, device=device)
indices = torch.empty(B, M, dtype=torch.long, device=device)
# min squared distance from each point to the current chosen set (large init)
min_dist_sq = torch.full((B, N), float("inf"), device=device, dtype=dtype)
# First center: point index 0 (deterministic)
farthest = torch.zeros(B, dtype=torch.long, device=device)
for i in range(M):
indices[:, i] = farthest
center = points[batch_idx, farthest]
dist_sq = ((points - center.unsqueeze(1)) ** 2).sum(dim=-1)
min_dist_sq = torch.minimum(min_dist_sq, dist_sq)
# Exclude the just-chosen index from being selected again
min_dist_sq[batch_idx, farthest] = -1.0
farthest = min_dist_sq.argmax(dim=-1)
return indices
class ModelNew(nn.Module):
"""KernelBench candidate entry point; default delegates to ``Model``."""
def __init__(self, num_samples: int):
super().__init__()
self._impl = Model(num_samples)
def forward(self, points: torch.Tensor) -> torch.Tensor:
return self._impl(points)
batch_size = 4
num_points = 1024
num_samples = 128
def get_inputs():
p = popcorn_pri
points = torch.randn(
p.jitter_int(batch_size), p.jitter_int(num_points), 3
)
return [points]
def get_init_inputs():
return [num_samples]
turn 031.6s turn · 7.9s LLM · 23.7s tools · tokens in=2,385 · out=6 · total=2,865
reasoning
The task is to replace the forward computation of a PyTorch model for Farthest Point Sampling (FPS) with a custom CUDA kernel. The model takes points (B, N, 3) and returns indices (B, M) for the farth...The task involves replacing the forward computation of a PyTorch model for Farthest Point Sampling (FPS) with a custom CUDA kernel. The model takes points of shape (B, N, 3) and outputs indices of shape (B, M) for the farthest points.
call → get_gpu_specs
callget_gpu_specs
{}
result ← get_gpu_specs (ok)
okget_gpu_specs
GPU specs for NVIDIA H100 80GB HBM3:
total memory (runtime): 79.1 GB
spec entry: H100
GPU Architecture: Hopper
GPU Memory: 80GB
Memory Bandwidth: 3.35 TB/s
FP64 TFLOPS: 34
FP64 Tensor Core TFLOPS: 67
FP32 TFLOPS: 67
TF32 Tensor Core TFLOPS: 989 with sparsity
BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity
FP16 Tensor Core TFLOPS: 1979 with sparsity
FP8 Tensor Core TFLOPS: 3958 with sparsity
INT8 Tensor Core TOPS: 3958 with sparsity
Register File Size: 64K 32-bit registers per SM
Maximum number of registers per thread: 255
Maximum number of thread blocks per SM: 32
Shared memory capacity per SM: 228 KB
Maximum shared memory per thread block: 227 KB
turn 1154.7s turn · 13.5s LLM · 141.2s tools · tokens in=3,098 · out=912 · total=4,160
reasoning
H100 GPU, good.
Now, I need to implement the kernel.
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <limits>\n\n__global__ void fps_kernel(\n const float* __restrict__ points, // (B, N, 3)\n int64_t* __restrict__ indices, // (B, M)\n float* __restrict__ min_dist_sq, // (B, N) workspace\n const int B,\n const int N,\n const int M\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n const float* pts = points + b * N * 3;\n int64_t* idx = indices + b * M;\n float* min_dist = min_dist_sq + b * N;\n\n // Initialize min_dist to inf\n for (int i = threadIdx.x; i < N; i += blockDim.x) {\n min_dist[i] = INFINITY;\n }\n __syncthreads();\n\n int farthest = 0;\n for (int i = 0; i < M; ++i) {\n idx[i] = farthest;\n float cx = pts[farthest * 3 + 0];\n float cy = pts[farthest * 3 + 1];\n float cz = pts[farthest * 3 + 2];\n\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float dx = pts[j * 3 + 0] - cx;\n float dy = pts[j * 3 + 1] - cy;\n float dz = pts[j * 3 + 2] - cz;\n float dist = dx*dx + dy*dy + dz*dz;\n if (dist < min_dist[j]) min_dist[j] = dist;\n }\n __syncthreads();\n\n // Find argmax of min_dist, excluding chosen (set to -1 after select)\n float max_val = -1.0f;\n int max_idx = 0;\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float val = min_dist[j];\n if (val > max_val) {\n max_val = val;\n max_idx = j;\n }\n }\n // Reduction for max across threads\n // Simple way: use atomic or shared for now, since N small, use global sync hack no.\n // Better: all threads compute local, then reduce in shared\n // For simplicity, since blockDim=256, N=1024, but to make correct:\n // Actually, let's use a simple serial for finding max since small, but parallel properly.\n // Temp: let's assume one thread does it for correctness first.\n }\n // TODO: complete reduction and set min_dist[farthest] = -1\n // This is incomplete, will fix in next iteration\n}\n\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples) {\n int B = points.size(0);\n int N = points.size(1);\n int M = num_samples;\n auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());\n auto indices = torch::empty({B, M}, options);\n auto min_dist = torch::empty({B, N}, points.options());\n int threads = 256;\n fps_kernel<<<B, threads>>>(\n points.data_ptr<float>(),\n indices.data_ptr<int64_t>(),\n min_dist.data_ptr<float>(),\n B, N, M\n );\n return indices;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples);\n\"\"\"\n\nmodule = load_inline(\n name=\"fps_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"fps_cuda\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_samples: int):\n super().__init__()\n self.num_samples = num_samples\n\n def forward(self, points: torch.Tensor) -> torch.Tensor:\n return module.fps_cuda(points, self.num_samples)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 2151.1s turn · 12.8s LLM · 138.3s tools · tokens in=4,177 · out=1,094 · total=5,322
reasoning
It compiled but the kernel is incomplete and won't work. I need to fix the kernel to make it correct.
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n\n__device__ __forceinline__ void warpReduceMax(float& val, int& idx) {\n for (int offset = 16; offset > 0; offset /= 2) {\n float other_val = __shfl_down_sync(0xffffffff, val, offset);\n int other_idx = __shfl_down_sync(0xffffffff, idx, offset);\n if (other_val > val) {\n val = other_val;\n idx = other_idx;\n }\n }\n}\n\n__global__ void fps_kernel(\n const float* __restrict__ points,\n int64_t* __restrict__ indices,\n float* __restrict__ min_dist_sq,\n const int B,\n const int N,\n const int M\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n const float* pts = points + (size_t)b * N * 3;\n int64_t* idx = indices + (size_t)b * M;\n float* min_dist = min_dist_sq + (size_t)b * N;\n\n for (int i = threadIdx.x; i < N; i += blockDim.x) {\n min_dist[i] = FLT_MAX;\n }\n __syncthreads();\n\n int farthest = 0;\n for (int i = 0; i < M; ++i) {\n idx[i] = farthest;\n float cx = pts[farthest * 3];\n float cy = pts[farthest * 3 + 1];\n float cz = pts[farthest * 3 + 2];\n\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float dx = pts[j * 3] - cx;\n float dy = pts[j * 3 + 1] - cy;\n float dz = pts[j * 3 + 2] - cz;\n float dist = dx*dx + dy*dy + dz*dz;\n if (dist < min_dist[j]) min_dist[j] = dist;\n }\n __syncthreads();\n\n // Set chosen to -1\n if (threadIdx.x == 0) {\n min_dist[farthest] = -1.0f;\n }\n __syncthreads();\n\n // Parallel argmax\n float local_max = -1.0f;\n int local_idx = 0;\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float val = min_dist[j];\n if (val > local_max) {\n local_max = val;\n local_idx = j;\n }\n }\n\n // Block reduce using shared memory\n __shared__ float shared_max[256];\n __shared__ int shared_idx[256];\n int tid = threadIdx.x;\n shared_max[tid] = local_max;\n shared_idx[tid] = local_idx;\n __syncthreads();\n\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (tid < s) {\n if (shared_max[tid + s] > shared_max[tid]) {\n shared_max[tid] = shared_max[tid + s];\n shared_idx[tid] = shared_idx[tid + s];\n }\n }\n __syncthreads();\n }\n\n if (tid == 0) {\n farthest = shared_idx[0];\n }\n __syncthreads();\n farthest = __shfl_sync(0xffffffff, farthest, 0); // broadcast if needed, but since syncthreads ok\n }\n}\n\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples) {\n int B = points.size(0);\n int N = points.size(1);\n int M = num_samples;\n auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());\n auto indices = torch::empty({B, M}, options);\n auto min_dist = torch::empty({B, N}, points.options());\n int threads = 256;\n fps_kernel<<<B, threads>>>(\n points.data_ptr<float>(),\n indices.data_ptr<int64_t>(),\n min_dist.data_ptr<float>(),\n B, N, M\n );\n return indices;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples);\n\"\"\"\n\nmodule = load_inline(\n name=\"fps_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"fps_cuda\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_samples: int):\n super().__init__()\n self.num_samples = num_samples\n\n def forward(self, points: torch.Tensor) -> torch.Tensor:\n return module.fps_cuda(points, self.num_samples)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 3151.5s turn · 14.6s LLM · 136.9s tools · tokens in=5,339 · out=941 · total=6,286
reasoning
Compiled. Now test correctness.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n\n__global__ void fps_kernel(\n const float* __restrict__ points,\n int64_t* __restrict__ indices,\n float* __restrict__ min_dist_sq,\n const int B,\n const int N,\n const int M\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n const float* pts = points + (size_t)b * N * 3;\n int64_t* idx = indices + (size_t)b * M;\n float* min_dist = min_dist_sq + (size_t)b * N;\n\n for (int i = threadIdx.x; i < N; i += blockDim.x) {\n min_dist[i] = FLT_MAX;\n }\n __syncthreads();\n\n int farthest = 0;\n for (int i = 0; i < M; ++i) {\n idx[i] = farthest;\n float cx = pts[farthest * 3];\n float cy = pts[farthest * 3 + 1];\n float cz = pts[farthest * 3 + 2];\n\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float dx = pts[j * 3] - cx;\n float dy = pts[j * 3 + 1] - cy;\n float dz = pts[j * 3 + 2] - cz;\n float dist = dx*dx + dy*dy + dz*dz;\n if (dist < min_dist[j]) min_dist[j] = dist;\n }\n __syncthreads();\n\n if (threadIdx.x == 0) {\n min_dist[farthest] = -1.0f;\n }\n __syncthreads();\n\n float local_max = -1.0f;\n int local_idx = 0;\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float val = min_dist[j];\n if (val > local_max) {\n local_max = val;\n local_idx = j;\n }\n }\n\n __shared__ float shared_max[256];\n __shared__ int shared_idx[256];\n int tid = threadIdx.x;\n shared_max[tid] = local_max;\n shared_idx[tid] = local_idx;\n __syncthreads();\n\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (tid < s) {\n if (shared_max[tid + s] > shared_max[tid]) {\n shared_max[tid] = shared_max[tid + s];\n shared_idx[tid] = shared_idx[tid + s];\n }\n }\n __syncthreads();\n }\n\n if (tid == 0) {\n farthest = shared_idx[0];\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples) {\n int B = points.size(0);\n int N = points.size(1);\n int M = num_samples;\n auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());\n auto indices = torch::empty({B, M}, options);\n auto min_dist = torch::empty({B, N}, points.options());\n int threads = 256;\n fps_kernel<<<B, threads>>>(\n points.data_ptr<float>(),\n indices.data_ptr<int64_t>(),\n min_dist.data_ptr<float>(),\n B, N, M\n );\n return indices;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples);\n\"\"\"\n\nmodule = load_inline(\n name=\"fps_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"fps_cuda\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_samples: int):\n super().__init__()\n self.num_samples = num_samples\n\n def forward(self, points: torch.Tensor) -> torch.Tensor:\n return module.fps_cuda(points, self.num_samples)\n"
}
result ← run_correctness (fail)
failrun_correctness
run_correctness FAILED: (0 / 3) trials did not all match.
correctness_issue: Output mismatch
max_difference: ['1023.000000', '1022.000000', '1022.000000']
avg_difference: ['497.767578', '515.732422', '525.574219']
turn 4154.4s turn · 13.4s LLM · 141.0s tools · tokens in=6,362 · out=1,020 · total=7,463
reasoning
There's a bug in the kernel. The argmax reduction and logic has issues. Also, the farthest broadcast is missing across warps or something, but since __syncthreads, and only tid0 sets, but other thread...
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n\n__global__ void fps_kernel(\n const float* __restrict__ points,\n int64_t* __restrict__ indices,\n float* __restrict__ min_dist_sq,\n const int B,\n const int N,\n const int M\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n const float* pts = points + (size_t)b * N * 3;\n int64_t* idx = indices + (size_t)b * M;\n float* min_dist = min_dist_sq + (size_t)b * N;\n\n extern __shared__ char smem[];\n float* sdata = (float*)smem;\n int* sidx = (int*)(sdata + blockDim.x);\n\n for (int i = threadIdx.x; i < N; i += blockDim.x) {\n min_dist[i] = FLT_MAX;\n }\n __syncthreads();\n\n __shared__ int farthest_shared;\n if (threadIdx.x == 0) farthest_shared = 0;\n __syncthreads();\n\n for (int i = 0; i < M; ++i) {\n int farthest = farthest_shared;\n idx[i] = farthest;\n float cx = pts[farthest * 3];\n float cy = pts[farthest * 3 + 1];\n float cz = pts[farthest * 3 + 2];\n\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float dx = pts[j * 3] - cx;\n float dy = pts[j * 3 + 1] - cy;\n float dz = pts[j * 3 + 2] - cz;\n float dist = dx*dx + dy*dy + dz*dz;\n if (dist < min_dist[j]) min_dist[j] = dist;\n }\n __syncthreads();\n\n if (threadIdx.x == 0) {\n min_dist[farthest] = -1.0f;\n }\n __syncthreads();\n\n float local_max = -1.0f;\n int local_idx = 0;\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float val = min_dist[j];\n if (val > local_max) {\n local_max = val;\n local_idx = j;\n }\n }\n\n sdata[threadIdx.x] = local_max;\n sidx[threadIdx.x] = local_idx;\n __syncthreads();\n\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n if (sdata[threadIdx.x + s] > sdata[threadIdx.x]) {\n sdata[threadIdx.x] = sdata[threadIdx.x + s];\n sidx[threadIdx.x] = sidx[threadIdx.x + s];\n }\n }\n __syncthreads();\n }\n\n if (threadIdx.x == 0) {\n farthest_shared = sidx[0];\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples) {\n int B = points.size(0);\n int N = points.size(1);\n int M = num_samples;\n auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());\n auto indices = torch::empty({B, M}, options);\n auto min_dist = torch::empty({B, N}, points.options());\n int threads = 256;\n size_t smem = threads * (sizeof(float) + sizeof(int));\n fps_kernel<<<B, threads, smem>>>(\n points.data_ptr<float>(),\n indices.data_ptr<int64_t>(),\n min_dist.data_ptr<float>(),\n B, N, M\n );\n return indices;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples);\n\"\"\"\n\nmodule = load_inline(\n name=\"fps_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"fps_cuda\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_samples: int):\n super().__init__()\n self.num_samples = num_samples\n\n def forward(self, points: torch.Tensor) -> torch.Tensor:\n return module.fps_cuda(points, self.num_samples)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 5150.2s turn · 14.4s LLM · 135.8s tools · tokens in=7,480 · out=1,021 · total=8,505
reasoning
Now test again.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n\n__global__ void fps_kernel(\n const float* __restrict__ points,\n int64_t* __restrict__ indices,\n float* __restrict__ min_dist_sq,\n const int B,\n const int N,\n const int M\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n const float* pts = points + (size_t)b * N * 3;\n int64_t* idx = indices + (size_t)b * M;\n float* min_dist = min_dist_sq + (size_t)b * N;\n\n extern __shared__ char smem[];\n float* sdata = (float*)smem;\n int* sidx = (int*)(sdata + blockDim.x);\n\n for (int i = threadIdx.x; i < N; i += blockDim.x) {\n min_dist[i] = FLT_MAX;\n }\n __syncthreads();\n\n __shared__ int farthest_shared;\n if (threadIdx.x == 0) farthest_shared = 0;\n __syncthreads();\n\n for (int i = 0; i < M; ++i) {\n int farthest = farthest_shared;\n idx[i] = farthest;\n float cx = pts[farthest * 3];\n float cy = pts[farthest * 3 + 1];\n float cz = pts[farthest * 3 + 2];\n\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float dx = pts[j * 3] - cx;\n float dy = pts[j * 3 + 1] - cy;\n float dz = pts[j * 3 + 2] - cz;\n float dist = dx*dx + dy*dy + dz*dz;\n if (dist < min_dist[j]) min_dist[j] = dist;\n }\n __syncthreads();\n\n if (threadIdx.x == 0) {\n min_dist[farthest] = -1.0f;\n }\n __syncthreads();\n\n float local_max = -1.0f;\n int local_idx = 0;\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float val = min_dist[j];\n if (val > local_max) {\n local_max = val;\n local_idx = j;\n }\n }\n\n sdata[threadIdx.x] = local_max;\n sidx[threadIdx.x] = local_idx;\n __syncthreads();\n\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n if (sdata[threadIdx.x + s] > sdata[threadIdx.x]) {\n sdata[threadIdx.x] = sdata[threadIdx.x + s];\n sidx[threadIdx.x] = sidx[threadIdx.x + s];\n }\n }\n __syncthreads();\n }\n\n if (threadIdx.x == 0) {\n farthest_shared = sidx[0];\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples) {\n int B = points.size(0);\n int N = points.size(1);\n int M = num_samples;\n auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());\n auto indices = torch::empty({B, M}, options);\n auto min_dist = torch::empty({B, N}, points.options());\n int threads = 256;\n size_t smem = threads * (sizeof(float) + sizeof(int));\n fps_kernel<<<B, threads, smem>>>(\n points.data_ptr<float>(),\n indices.data_ptr<int64_t>(),\n min_dist.data_ptr<float>(),\n B, N, M\n );\n return indices;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples);\n\"\"\"\n\nmodule = load_inline(\n name=\"fps_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"fps_cuda\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_samples: int):\n super().__init__()\n self.num_samples = num_samples\n\n def forward(self, points: torch.Tensor) -> torch.Tensor:\n return module.fps_cuda(points, self.num_samples)\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (3 / 3) trials all matched the reference.
Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 6174.0s turn · 13.2s LLM · 160.9s tools · tokens in=8,565 · out=1,020 · total=9,625 · FINAL
reasoning
Great, it's correct now. Now, to check if faster, but since submit will do timing, and for optimization, but it should be faster than pure PyTorch loop.
call → submit_kernel
callsubmit_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n\n__global__ void fps_kernel(\n const float* __restrict__ points,\n int64_t* __restrict__ indices,\n float* __restrict__ min_dist_sq,\n const int B,\n const int N,\n const int M\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n const float* pts = points + (size_t)b * N * 3;\n int64_t* idx = indices + (size_t)b * M;\n float* min_dist = min_dist_sq + (size_t)b * N;\n\n extern __shared__ char smem[];\n float* sdata = (float*)smem;\n int* sidx = (int*)(sdata + blockDim.x);\n\n for (int i = threadIdx.x; i < N; i += blockDim.x) {\n min_dist[i] = FLT_MAX;\n }\n __syncthreads();\n\n __shared__ int farthest_shared;\n if (threadIdx.x == 0) farthest_shared = 0;\n __syncthreads();\n\n for (int i = 0; i < M; ++i) {\n int farthest = farthest_shared;\n idx[i] = farthest;\n float cx = pts[farthest * 3];\n float cy = pts[farthest * 3 + 1];\n float cz = pts[farthest * 3 + 2];\n\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float dx = pts[j * 3] - cx;\n float dy = pts[j * 3 + 1] - cy;\n float dz = pts[j * 3 + 2] - cz;\n float dist = dx*dx + dy*dy + dz*dz;\n if (dist < min_dist[j]) min_dist[j] = dist;\n }\n __syncthreads();\n\n if (threadIdx.x == 0) {\n min_dist[farthest] = -1.0f;\n }\n __syncthreads();\n\n float local_max = -1.0f;\n int local_idx = 0;\n for (int j = threadIdx.x; j < N; j += blockDim.x) {\n float val = min_dist[j];\n if (val > local_max) {\n local_max = val;\n local_idx = j;\n }\n }\n\n sdata[threadIdx.x] = local_max;\n sidx[threadIdx.x] = local_idx;\n __syncthreads();\n\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n if (sdata[threadIdx.x + s] > sdata[threadIdx.x]) {\n sdata[threadIdx.x] = sdata[threadIdx.x + s];\n sidx[threadIdx.x] = sidx[threadIdx.x + s];\n }\n }\n __syncthreads();\n }\n\n if (threadIdx.x == 0) {\n farthest_shared = sidx[0];\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples) {\n int B = points.size(0);\n int N = points.size(1);\n int M = num_samples;\n auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());\n auto indices = torch::empty({B, M}, options);\n auto min_dist = torch::empty({B, N}, points.options());\n int threads = 256;\n size_t smem = threads * (sizeof(float) + sizeof(int));\n fps_kernel<<<B, threads, smem>>>(\n points.data_ptr<float>(),\n indices.data_ptr<int64_t>(),\n min_dist.data_ptr<float>(),\n B, N, M\n );\n return indices;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor fps_cuda(torch::Tensor points, int num_samples);\n\"\"\"\n\nmodule = load_inline(\n name=\"fps_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"fps_cuda\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_samples: int):\n super().__init__()\n self.num_samples = num_samples\n\n def forward(self, points: torch.Tensor) -> torch.Tensor:\n return module.fps_cuda(points, self.num_samples)\n"
}
result ← submit_kernel (ok)
oksubmit_kernel
submit_kernel PASSED: (3 / 3) correctness trials all passed.
Kernel runtime: 0.16 μs
Runtime stats: mean=0.16μs median=?μs std=0.00μs
Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
Memory: 33.07 MB peak (ref: 33.18 MB, ratio: 0.9967x)
Kernel launches: 2 (ref: 4108, fusion ratio: 2054.0)
Energy: 242.64 mJ/run (ref: 1446.3 mJ, ratio: 5.9607x)
SOL score: 0.059
Flagged for excessive speedup — this submission may have been rejected by automated review.
final submitted kernel (130 lines, 3,577 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
cuda_source = """
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <cfloat>
__global__ void fps_kernel(
const float* __restrict__ points,
int64_t* __restrict__ indices,
float* __restrict__ min_dist_sq,
const int B,
const int N,
const int M
) {
int b = blockIdx.x;
if (b >= B) return;
const float* pts = points + (size_t)b * N * 3;
int64_t* idx = indices + (size_t)b * M;
float* min_dist = min_dist_sq + (size_t)b * N;
extern __shared__ char smem[];
float* sdata = (float*)smem;
int* sidx = (int*)(sdata + blockDim.x);
for (int i = threadIdx.x; i < N; i += blockDim.x) {
min_dist[i] = FLT_MAX;
}
__syncthreads();
__shared__ int farthest_shared;
if (threadIdx.x == 0) farthest_shared = 0;
__syncthreads();
for (int i = 0; i < M; ++i) {
int farthest = farthest_shared;
idx[i] = farthest;
float cx = pts[farthest * 3];
float cy = pts[farthest * 3 + 1];
float cz = pts[farthest * 3 + 2];
for (int j = threadIdx.x; j < N; j += blockDim.x) {
float dx = pts[j * 3] - cx;
float dy = pts[j * 3 + 1] - cy;
float dz = pts[j * 3 + 2] - cz;
float dist = dx*dx + dy*dy + dz*dz;
if (dist < min_dist[j]) min_dist[j] = dist;
}
__syncthreads();
if (threadIdx.x == 0) {
min_dist[farthest] = -1.0f;
}
__syncthreads();
float local_max = -1.0f;
int local_idx = 0;
for (int j = threadIdx.x; j < N; j += blockDim.x) {
float val = min_dist[j];
if (val > local_max) {
local_max = val;
local_idx = j;
}
}
sdata[threadIdx.x] = local_max;
sidx[threadIdx.x] = local_idx;
__syncthreads();
for (int s = blockDim.x / 2; s > 0; s >>= 1) {
if (threadIdx.x < s) {
if (sdata[threadIdx.x + s] > sdata[threadIdx.x]) {
sdata[threadIdx.x] = sdata[threadIdx.x + s];
sidx[threadIdx.x] = sidx[threadIdx.x + s];
}
}
__syncthreads();
}
if (threadIdx.x == 0) {
farthest_shared = sidx[0];
}
__syncthreads();
}
}
torch::Tensor fps_cuda(torch::Tensor points, int num_samples) {
int B = points.size(0);
int N = points.size(1);
int M = num_samples;
auto options = torch::TensorOptions().dtype(torch::kInt64).device(points.device());
auto indices = torch::empty({B, M}, options);
auto min_dist = torch::empty({B, N}, points.options());
int threads = 256;
size_t smem = threads * (sizeof(float) + sizeof(int));
fps_kernel<<<B, threads, smem>>>(
points.data_ptr<float>(),
indices.data_ptr<int64_t>(),
min_dist.data_ptr<float>(),
B, N, M
);
return indices;
}
"""
cpp_source = """
torch::Tensor fps_cuda(torch::Tensor points, int num_samples);
"""
module = load_inline(
name="fps_module",
cpp_sources=cpp_source,
cuda_sources=cuda_source,
functions=["fps_cuda"],
verbose=False,
extra_cuda_cflags=["-O3"]
)
class ModelNew(nn.Module):
def __init__(self, num_samples: int):
super().__init__()
self.num_samples = num_samples
def forward(self, points: torch.Tensor) -> torch.Tensor:
return module.fps_cuda(points, self.num_samples)