FW-GLM-5-1 · popcorn · pop_l123_default_gpt
incorrect 48_ParticleFilter.py
model
FW-GLM-5-1
turns / max
12 / 12
tool calls
12
tokens (total)
215389
wall clock
2508.8s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
—
ref runtime
0.36 μs
speedup
—
started
2026-05-11T12:54:50Z
correctness issue: Output mismatch
timingkernelbench.timing
kernel runtime
—
ref runtime
0.36 μs
speedup
—
kernel mean / median / std
—
ref mean / median / std
0.36 / — / 0.06 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.713
dram util %
18.4%
compute util %
71.3%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
618.20 GB/s
dram util %
18.5%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
180.9%
bottleneck
compute-bound
dominant pipe %
71.3%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
1245.4%
ld sectors / req
113.69
st sectors / req
—
regs / thread
546
smem / block
32512 B
block size
3200
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
18112.5%
short_scoreboard
3225.6%
mio_throttle
37.7%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn


class Model(nn.Module):
    """
    Bootstrap particle filter (Sequential Monte Carlo) for a linear-
    Gaussian state-space model.  Implements the predict–weight–resample
    cycle for one time step.  The state transition is x_{t} = A x_{t-1} + w
    and the observation model is y_t = C x_t + v.
    """

    def __init__(self, state_dim, obs_dim, num_particles):
        super().__init__()
        self.state_dim = state_dim
        self.obs_dim = obs_dim
        self.num_particles = num_particles
        self.register_buffer("A", 0.9 * torch.eye(state_dim))
        self.register_buffer("C", torch.randn(obs_dim, state_dim) * 0.5)
        self.process_noise = 0.1
        self.obs_noise = 0.5

    def forward(
        self,
        particles: torch.Tensor,
        log_weights: torch.Tensor,
        observation: torch.Tensor,
    ) -> tuple:
        """
        Args:
            particles:   (B, P, state_dim)
            log_weights: (B, P)
            observation: (B, obs_dim)
        Returns:
            (new_particles, new_log_weights):
                new_particles:   (B, P, state_dim)
                new_log_weights: (B, P) – normalized log weights
        """
        B, P, D = particles.shape

        # Predict: propagate through dynamics
        pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)

        # Weight: compute log p(y_t | x_t)
        obs_pred = pred @ self.C.t()  # (B, P, obs_dim)
        diff = observation.unsqueeze(1) - obs_pred
        log_lik = -0.5 * (diff ** 2).sum(-1) / (self.obs_noise ** 2)
        new_log_w = log_weights + log_lik
        # Normalize
        new_log_w = new_log_w - torch.logsumexp(new_log_w, dim=1, keepdim=True)

        # Systematic resample
        weights = torch.exp(new_log_w)
        cumsum = torch.cumsum(weights, dim=1)
        u = (torch.arange(P, device=particles.device, dtype=particles.dtype) + torch.rand(B, 1, device=particles.device)) / P
        indices = torch.searchsorted(cumsum, u)
        indices = indices.clamp(0, P - 1)

        batch_idx = torch.arange(B, device=particles.device).unsqueeze(1).expand(-1, P)
        resampled = pred[batch_idx, indices]
        uniform_log_w = torch.full_like(new_log_w, -torch.log(torch.tensor(float(P))))

        return resampled, uniform_log_w


state_dim = 4
obs_dim = 2
num_particles = 1024
batch_size = 16


def get_inputs():
    p = popcorn_pri
    particles = torch.randn(p.jitter_int(batch_size), num_particles, state_dim)
    log_weights = torch.full((p.jitter_int(batch_size), num_particles), -torch.log(torch.tensor(float(num_particles))))
    observation = torch.randn(p.jitter_int(batch_size), obs_dim)
    return [particles, log_weights, observation]


def get_init_inputs():
    return [state_dim, obs_dim, num_particles]
turn 0187.0s turn · 6.6s LLM · 180.4s tools · tokens in=1,946 · out=498 · total=2,444
reasoning
Let me analyze this task. I need to implement a custom CUDA kernel for a bootstrap particle filter that performs: 1. Predict step: propagate particles through linear dynamics with process noise 2. Weight step: compute log likelihood of observations 3. Resample step: systematic resampling Let me first understand the reference implementation in detail: 1. **Predict**: `pred = (particles @ A.T) + process_noise * randn_like(particles)` - particles: (B, P, D) where B=batch, P=particles, D=state_dim - A: (D, D) - state transition matrix - Result: (B, P, D) 2. **Weight**: - obs_pred = pred @ C.T where C is (obs_dim, state_dim) - obs_pred: (B, P, obs_dim) - diff = observation.unsqueeze(1) - obs_pred - diff: (B, P, obs_dim) - log_lik = -0.5 * (diff**2).sum(-1) / obs_noise^2 - log_lik: (B, P) - Normalize log weights using logsumexp 3. **Resample**: Systematic resampling - weights = exp(new_log_w) - cumsum = cumsum(weights, dim=1) - u = (arange(P) + rand(B,1)) / P - indices = searchsorted(cumsum, u) - resampled = pred[batch_idx, indices] The key challenges: 1. Matrix multiplications (particles @ A.T and pred @ C.T) 2. Random number generation for process noise and systematic resampling 3. Log-sum-exp for normalization 4. Cumulative sum and searchsorted for resampling For a CUDA implementation, I need to think about: Memory access patterns will be critical for performance. I'll need to carefully manage how particles and matrices are loaded into shared memory to minimize global memory transactions. The random number generation requires a parallel-friendly approach that maintains statistical quality across threads. Log-sum-exp normalization needs special handling to prevent numerical instability, potentially using a parallel reduction technique. The systematic resampling's cumulative sum and searchsorted operations are complex to parallelize efficiently. I'll start by examining GPU specifications to understand the computational constraints and optimize my kernel design accordingly.
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 1 · 1 tool call(s) · 135.9s turn · 27.5s LLM · tokens in=2,194 · out=2,878 · total=5,072 · 12,044 chars (click to expand)
turn 1135.9s turn · 27.5s LLM · 108.4s tools · tokens in=2,194 · out=2,878 · total=5,072
reasoning
Now let me write the CUDA kernel for the particle filter. Let me analyze the computation: 1. **Predict step**: `pred = particles @ A.T + process_noise * randn` - This is a batched matmul plus random noise 2. **Weight step**: `obs_pred = pred @ C.T`, then compute log-likelihood 3. **Resample step**: Compute cumulative sum, generate stratified random numbers, searchsorted, clamp, gather The key operations are: - Batched matrix multiplications (B, P, D) @ (D, D).T = (B, P, D) - Batched matrix multiplications (B, P, D) @ (D, obs_dim).T = (B, P, obs_dim) - Log-likelihood computation - Cumulative sum across particles - Searchsorted operation - Gather operation Let me write a custom CUDA kernel that handles all of this efficiently. The main challenges are: 1. The random number generation for process noise and stratified sampling 2. The searchsorted operation (cumulative sum + binary search) 3. Efficient gathering Let me start with a straightforward implementation:
assistantLet me analyze the particle filter operation and write an optimized CUDA kernel. The key steps are: 1. Predict: matrix multiply + add noise 2. Weight: compute log-likelihood 3. Resample: cumsum + searchsorted + gather
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n\ntemplate <typename scalar_t>\n__device__ scalar_t logsumexp_device(const scalar_t* vals, int n, scalar_t max_val) {\n scalar_t sum = 0;\n for (int i = 0; i < n; i++) {\n sum += exp(vals[i] - max_val);\n }\n return max_val + log(sum);\n}\n\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n scalar_t* __restrict__ pred,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Initialize random state for this thread\n curandState state;\n curand_init(seed, b * P + p, 0, &state);\n \n for (int d = 0; d < D; d++) {\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise (0.1 * randn)\n val += scalar_t(0.1) * curand_normal(&state);\n pred[b * P * D + p * D + d] = val;\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void weight_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n extern __shared__ char smem[];\n scalar_t* max_vals = reinterpret_cast<scalar_t*>(smem);\n scalar_t* sum_vals = max_vals + blockDim.y;\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n int tid = threadIdx.x;\n \n if (b >= B) return;\n \n scalar_t log_lik = 0;\n \n if (p < P) {\n // Compute obs_pred = pred @ C.T\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n }\n __syncthreads();\n \n // Normalize using logsumexp - parallel reduction\n // First find max\n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n \n for (int offset = blockDim.x / 2; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_down_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n if (tid == 0) {\n max_vals[threadIdx.y] = my_val;\n }\n __syncthreads();\n \n if (tid < blockDim.y) {\n scalar_t m = max_vals[tid];\n for (int offset = blockDim.y / 2; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_down_sync(0xffffffff, m, offset);\n m = max(m, other);\n }\n if (tid == 0) max_vals[0] = m;\n }\n __syncthreads();\n \n scalar_t max_log_w = max_vals[0];\n \n // Compute sum of exp\n scalar_t my_exp = (p < P) ? exp(new_log_w[b * P + p] - max_log_w) : 0;\n \n for (int offset = blockDim.x / 2; offset > 0; offset >>= 1) {\n my_exp += __shfl_down_sync(0xffffffff, my_exp, offset);\n }\n \n if (tid == 0) {\n sum_vals[threadIdx.y] = my_exp;\n }\n __syncthreads();\n \n if (tid < blockDim.y) {\n scalar_t s = sum_vals[tid];\n for (int offset = blockDim.y / 2; offset > 0; offset >>= 1) {\n s += __shfl_down_sync(0xffffffff, s, offset);\n }\n if (tid == 0) sum_vals[0] = s;\n }\n __syncthreads();\n \n scalar_t sum_exp = sum_vals[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ resampled,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Initialize random state\n curandState state;\n curand_init(seed, b, 0, &state);\n scalar_t u_offset = curand_uniform(&state);\n \n // Compute cumulative sum - use shared memory\n extern __shared__ char smem_cumm[];\n scalar_t* cumsum = reinterpret_cast<scalar_t*>(smem_cumm);\n \n // Each thread loads its weight\n scalar_t my_w = (p < P) ? weights[b * P + p] : 0;\n cumsum[threadIdx.x] = my_w;\n __syncthreads();\n \n // Parallel prefix sum\n for (int offset = 1; offset < blockDim.x; offset *= 2) {\n scalar_t val = 0;\n if (threadIdx.x >= offset) {\n val = cumsum[threadIdx.x - offset];\n }\n __syncthreads();\n cumsum[threadIdx.x] += val;\n __syncthreads();\n }\n \n // Generate stratified uniform\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n \n // Random seeds\n unsigned long long seed1 = std::chrono::system_clock::now().time_since_epoch().count();\n unsigned long long seed2 = seed1 + 12345;\n unsigned long long seed3 = seed1 + 67890;\n \n dim3 block(256);\n dim3 grid(B, (P + 255) / 256);\n \n // Predict\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid, block>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D, seed1);\n }));\n \n // Weight\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_kernel\", ([&] {\n int smem_size = 2 * 256 * sizeof(scalar_t);\n weight_kernel<scalar_t><<<grid, block, smem_size>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Resample\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_kernel\", ([&] {\n int smem_size = 256 * sizeof(scalar_t);\n resample_kernel<scalar_t><<<grid, block, smem_size>>>(\n pred.data_ptr<scalar_t>(),\n weights.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n B, P, D, seed3);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n extra_cuda_cflags=[\"-lcurand\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n self.state_dim, self.obs_dim, self.num_particles,\n self.process_noise, self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 170.1s turn · 21.7s LLM · tokens in=4,844 · out=2,607 · total=7,451 · 11,299 chars (click to expand)
turn 2170.1s turn · 21.7s LLM · 148.4s tools · tokens in=4,844 · out=2,607 · total=7,451
reasoning
Good, it compiled. Now let me check correctness.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n\ntemplate <typename scalar_t>\n__device__ scalar_t logsumexp_device(const scalar_t* vals, int n, scalar_t max_val) {\n scalar_t sum = 0;\n for (int i = 0; i < n; i++) {\n sum += exp(vals[i] - max_val);\n }\n return max_val + log(sum);\n}\n\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n scalar_t* __restrict__ pred,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Initialize random state for this thread\n curandState state;\n curand_init(seed, b * P + p, 0, &state);\n \n for (int d = 0; d < D; d++) {\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise (0.1 * randn)\n val += scalar_t(0.1) * curand_normal(&state);\n pred[b * P * D + p * D + d] = val;\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void weight_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n extern __shared__ char smem[];\n scalar_t* max_vals = reinterpret_cast<scalar_t*>(smem);\n scalar_t* sum_vals = max_vals + blockDim.y;\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n int tid = threadIdx.x;\n \n if (b >= B) return;\n \n scalar_t log_lik = 0;\n \n if (p < P) {\n // Compute obs_pred = pred @ C.T\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n }\n __syncthreads();\n \n // Normalize using logsumexp - parallel reduction\n // First find max\n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n \n for (int offset = blockDim.x / 2; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_down_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n if (tid == 0) {\n max_vals[threadIdx.y] = my_val;\n }\n __syncthreads();\n \n if (tid < blockDim.y) {\n scalar_t m = max_vals[tid];\n for (int offset = blockDim.y / 2; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_down_sync(0xffffffff, m, offset);\n m = max(m, other);\n }\n if (tid == 0) max_vals[0] = m;\n }\n __syncthreads();\n \n scalar_t max_log_w = max_vals[0];\n \n // Compute sum of exp\n scalar_t my_exp = (p < P) ? exp(new_log_w[b * P + p] - max_log_w) : 0;\n \n for (int offset = blockDim.x / 2; offset > 0; offset >>= 1) {\n my_exp += __shfl_down_sync(0xffffffff, my_exp, offset);\n }\n \n if (tid == 0) {\n sum_vals[threadIdx.y] = my_exp;\n }\n __syncthreads();\n \n if (tid < blockDim.y) {\n scalar_t s = sum_vals[tid];\n for (int offset = blockDim.y / 2; offset > 0; offset >>= 1) {\n s += __shfl_down_sync(0xffffffff, s, offset);\n }\n if (tid == 0) sum_vals[0] = s;\n }\n __syncthreads();\n \n scalar_t sum_exp = sum_vals[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ resampled,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Initialize random state\n curandState state;\n curand_init(seed, b, 0, &state);\n scalar_t u_offset = curand_uniform(&state);\n \n // Compute cumulative sum - use shared memory\n extern __shared__ char smem_cumm[];\n scalar_t* cumsum = reinterpret_cast<scalar_t*>(smem_cumm);\n \n // Each thread loads its weight\n scalar_t my_w = (p < P) ? weights[b * P + p] : 0;\n cumsum[threadIdx.x] = my_w;\n __syncthreads();\n \n // Parallel prefix sum\n for (int offset = 1; offset < blockDim.x; offset *= 2) {\n scalar_t val = 0;\n if (threadIdx.x >= offset) {\n val = cumsum[threadIdx.x - offset];\n }\n __syncthreads();\n cumsum[threadIdx.x] += val;\n __syncthreads();\n }\n \n // Generate stratified uniform\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n \n // Random seeds\n unsigned long long seed1 = std::chrono::system_clock::now().time_since_epoch().count();\n unsigned long long seed2 = seed1 + 12345;\n unsigned long long seed3 = seed1 + 67890;\n \n dim3 block(256);\n dim3 grid(B, (P + 255) / 256);\n \n // Predict\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid, block>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D, seed1);\n }));\n \n // Weight\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_kernel\", ([&] {\n int smem_size = 2 * 256 * sizeof(scalar_t);\n weight_kernel<scalar_t><<<grid, block, smem_size>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Resample\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_kernel\", ([&] {\n int smem_size = 256 * sizeof(scalar_t);\n resample_kernel<scalar_t><<<grid, block, smem_size>>>(\n pred.data_ptr<scalar_t>(),\n weights.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n B, P, D, seed3);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n extra_cuda_cflags=[\"-lcurand\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n self.state_dim, self.obs_dim, self.num_particles,\n self.process_noise, self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← run_correctness (fail)
failrun_correctness correctness_kernel FAILED: AcceleratorError: CUDA error: an illegal memory access was encountered Search for `cudaErrorIllegalAddress' in https://docs.nvidia.com/cuda/cuda-runtime-api/group__CUDART__TYPES.html for more information. CUDA kernel errors might be asynchronously reported at some other API call, so the stacktrace below might be incorrect. For debugging consider passing CUDA_LAUNCH_BLOCKING=1 Compile with `TORCH_USE_CUDA_DSA` to enable device-side assertions.
turn 3 · 1 tool call(s) · 183.4s turn · 23.6s LLM · tokens in=7,545 · out=2,750 · total=10,295 · 11,890 chars (click to expand)
turn 3183.4s turn · 23.6s LLM · 159.9s tools · tokens in=7,545 · out=2,750 · total=10,295
reasoning
I have an illegal memory access error. The issue is likely in my kernel. Let me debug this. The problem could be: 1. blockDim.y is 1 since I used dim3 block(256) which makes y=1, z=1 2. The shared memory access pattern is wrong 3. The cumulative sum shared memory isn't sized correctly Let me look at the resample_kernel more carefully. The block is only 256 threads in x dimension, but I have 1024 particles. So I have multiple blocks in the y direction. But within each block, I'm using shared memory that assumes all threads for that batch element are in the same block, which they aren't! The cumsum operation requires all 1024 particles to be in shared memory, but my block only has 256 threads, so I can only compute cumsum for 256 elements at a time. I need to rethink the resampling approach. Since P=1024 and I can't fit all of them in a single block's shared memory, I need to either: 1. Use a different approach for cumsum (maybe global memory atomics or multiple passes) 2. Use a different resampling algorithm Let me try a simpler approach - use PyTorch operations for the resampling part since that's where the complexity is, and only accelerate the predict and weight steps. Actually, looking at the original code more carefully: - cumsum is done per batch, so I need all 1024 particles' cumsum values - searchsorted then needs to search through these values For 1024 particles, I can actually fit them all in shared memory per SM (228 KB available, 1024 * 4 = 4 KB for float32). Let me redesign to use one block per batch element, with 1024 threads per block.
assistantI see the issue - the resampling kernel has problems with shared memory sizing and thread block organization. Let me fix this by redesigning the kernels more carefully:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n\n// Predict kernel: one thread per particle-state_dim element\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n scalar_t* __restrict__ pred,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.y; // particle index within block\n int d = threadIdx.x; // state dimension index\n \n if (b >= B || p >= P || d >= D) return;\n \n // Initialize random state for this particle\n curandState state;\n curand_init(seed, b * P + p, d, &state);\n \n // Compute x @ A.T for this particle and dimension\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise (0.1 * randn)\n val += scalar_t(0.1) * curand_normal(&state);\n pred[b * P * D + p * D + d] = val;\n}\n\n// Weight kernel: compute log likelihood and normalize\ntemplate <typename scalar_t>\n__global__ void weight_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n // One block per batch element, one thread per particle\n int b = blockIdx.x;\n int p = threadIdx.x;\n \n if (b >= B) return;\n \n scalar_t log_lik = 0;\n \n if (p < P) {\n // Compute obs_pred = pred @ C.T\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n }\n __syncthreads();\n \n // Parallel reduction for max (logsumexp)\n // Use shared memory\n __shared__ scalar_t smem[1024];\n \n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n smem[p] = my_val;\n __syncthreads();\n \n // Reduce to find max\n for (int offset = P / 2; offset > 0; offset >>= 1) {\n if (p < offset) {\n smem[p] = max(smem[p], smem[p + offset]);\n }\n __syncthreads();\n }\n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute exp(val - max) for each\n scalar_t my_exp = (p < P) ? exp(my_val - max_log_w) : 0;\n smem[p] = my_exp;\n __syncthreads();\n \n // Reduce to find sum\n for (int offset = P / 2; offset > 0; offset >>= 1) {\n if (p < offset) {\n smem[p] += smem[p + offset];\n }\n __syncthreads();\n }\n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\n// Resample kernel: systematic resampling\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ resampled,\n int B, int P, int D,\n unsigned long long seed) {\n \n // One block per batch element\n int b = blockIdx.x;\n int p = threadIdx.x; // particle index\n \n if (b >= B) return;\n \n // Shared memory for cumulative sum\n __shared__ scalar_t cumsum[1024];\n \n // Initialize random state - one random value per batch\n curandState state;\n curand_init(seed, b, 0, &state);\n scalar_t u_offset = curand_uniform(&state);\n \n // Load weights into shared memory\n scalar_t my_w = (p < P) ? weights[b * P + p] : 0;\n cumsum[p] = my_w;\n __syncthreads();\n \n // Parallel prefix sum (inclusive scan)\n // Up-sweep (reduce)\n for (int offset = 1; offset < P; offset *= 2) {\n scalar_t val = 0;\n if (p >= offset) {\n val = cumsum[p - offset];\n }\n __syncthreads();\n if (p >= offset) {\n cumsum[p] += val;\n }\n __syncthreads();\n }\n \n // Generate stratified uniform\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n \n // Random seeds\n unsigned long long seed1 = std::chrono::system_clock::now().time_since_epoch().count();\n unsigned long long seed3 = seed1 + 67890;\n \n // Predict kernel: B blocks, D x P threads per block\n dim3 block_predict(D, P);\n dim3 grid_predict(B);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid_predict, block_predict>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D, seed1);\n }));\n \n // Weight kernel: B blocks, P threads per block\n dim3 block_weight(P);\n dim3 grid_weight(B);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_kernel\", ([&] {\n weight_kernel<scalar_t><<<grid_weight, block_weight>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Resample kernel: B blocks, P threads per block\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_kernel\", ([&] {\n resample_kernel<scalar_t><<<grid_weight, block_weight>>>(\n pred.data_ptr<scalar_t>(),\n weights.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n B, P, D, seed3);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v2\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n extra_cuda_cflags=[\"-lcurand\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n self.state_dim, self.obs_dim, self.num_particles,\n self.process_noise, self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 299.9s turn · 18.7s LLM · tokens in=9,931 · out=2,354 · total=12,285 · 10,316 chars (click to expand)
turn 4299.9s turn · 18.7s LLM · 281.2s tools · tokens in=9,931 · out=2,354 · total=12,285
reasoning
Let me check correctness now.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n\n// Predict kernel: one thread per particle-state_dim element\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n scalar_t* __restrict__ pred,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.y; // particle index within block\n int d = threadIdx.x; // state dimension index\n \n if (b >= B || p >= P || d >= D) return;\n \n // Initialize random state for this particle\n curandState state;\n curand_init(seed, b * P + p, d, &state);\n \n // Compute x @ A.T for this particle and dimension\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise (0.1 * randn)\n val += scalar_t(0.1) * curand_normal(&state);\n pred[b * P * D + p * D + d] = val;\n}\n\n// Weight kernel: compute log likelihood and normalize\ntemplate <typename scalar_t>\n__global__ void weight_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n // One block per batch element, one thread per particle\n int b = blockIdx.x;\n int p = threadIdx.x;\n \n if (b >= B) return;\n \n scalar_t log_lik = 0;\n \n if (p < P) {\n // Compute obs_pred = pred @ C.T\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n }\n __syncthreads();\n \n // Parallel reduction for max (logsumexp)\n // Use shared memory\n __shared__ scalar_t smem[1024];\n \n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n smem[p] = my_val;\n __syncthreads();\n \n // Reduce to find max\n for (int offset = P / 2; offset > 0; offset >>= 1) {\n if (p < offset) {\n smem[p] = max(smem[p], smem[p + offset]);\n }\n __syncthreads();\n }\n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute exp(val - max) for each\n scalar_t my_exp = (p < P) ? exp(my_val - max_log_w) : 0;\n smem[p] = my_exp;\n __syncthreads();\n __syncthreads();\n \n // Reduce to find sum\n for (int offset = P / 2; offset > 0; offset >>= 1) {\n if (p < offset) {\n smem[p] += smem[p + offset];\n }\n __syncthreads();\n }\n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\n// Resample kernel: systematic resampling\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ resampled,\n int B, int P, int D,\n unsigned long long seed) {\n \n // One block per batch element\n int b = blockIdx.x;\n int p = threadIdx.x; // particle index\n \n if (b >= B) return;\n \n // Shared memory for cumulative sum\n __shared__ scalar_t cumsum[1024];\n \n // Initialize random state - one random value per batch\n curandState state;\n curand_init(seed, b, 0, &state);\n scalar_t u_offset = curand_uniform(&state);\n \n // Load weights into shared memory\n scalar_t my_w = (p < P) ? weights[b * P + p] : 0;\n cumsum[p] = my_w;\n __syncthreads();\n \n // Parallel prefix sum (inclusive scan)\n // Up-sweep (reduce)\n for (int offset = 1; offset < P; offset *= 2) {\n scalar_t val = 0;\n if (p >= offset) {\n val = cumsum[p - offset];\n }\n __syncthreads();\n if (p >= offset) {\n cumsum[p] += val;\n }\n __syncthreads();\n }\n \n // Generate stratified uniform\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n \n // Random seeds\n unsigned long long seed1 = std::chrono::system_clock::now().time_since_epoch().count();\n unsigned long long seed3 = seed1 + 67890;\n \n // Predict kernel: B blocks, D x P threads per block\n dim3 block_predict(D, P);\n dim3 grid_predict(B);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid_predict, block_predict>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D, seed1);\n }));\n \n // Weight kernel: B blocks, P threads per block\n dim3 block_weight(P);\n dim3 grid_weight(B);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_kernel\", ([&] {\n weight_kernel<scalar_t><<<grid_weight, block_weight>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Resample kernel: B blocks, P threads per block\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_kernel\", ([&] {\n resample_kernel<scalar_t><<<grid_weight, block_weight>>>(\n pred.data_ptr<scalar_t>(),\n weights.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n B, P, D, seed3);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v2\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n extra_cuda_cflags=[\"-lcurand\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n self.state_dim, self.obs_dim, self.num_particles,\n self.process_noise, self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: ? trials did not all match. runtime_error: CUDA error: invalid configuration argument Search for `cudaErrorInvalidConfiguration' in https://docs.nvidia.com/cuda/cuda-runtime-api/group__CUDART__TYPES.html for more information. CUDA kernel er...
turn 5 · 1 tool call(s) · 167.0s turn · 33.6s LLM · tokens in=12,341 · out=3,811 · total=16,152 · 15,755 chars (click to expand)
turn 5167.0s turn · 33.6s LLM · 133.3s tools · tokens in=12,341 · out=3,811 · total=16,152
reasoning
The problem is that `dim3 block_predict(D, P)` creates a block with D*P threads. With D=4 and P=1024, that's 4096 threads which exceeds the maximum of 1024 threads per block. I need to redesign the kernel launch configurations. Let me use a different approach: 1. For predict: Use B*P blocks, each with D threads 2. For weight and resample: Use B blocks, with multiple thread blocks if P > 1024 Actually, since the tests might have P > 1024, I need to handle this more generally. Let me use a grid where I have enough blocks to cover all particles. Let me rewrite this with proper kernel configurations.
assistantThe problem is that the block size exceeds 1024 threads (D*P = 4*1024 = 4096). Let me redesign with proper kernel configurations:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n\n// Predict kernel: one thread per particle\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n scalar_t* __restrict__ pred,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Initialize random state for this particle\n curandState state;\n curand_init(seed, b * P + p, 0, &state);\n \n // Compute x @ A.T for this particle (all dimensions)\n for (int d = 0; d < D; d++) {\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise (0.1 * randn)\n val += scalar_t(0.1) * curand_normal(&state);\n pred[b * P * D + p * D + d] = val;\n }\n}\n\n// Weight kernel: compute log likelihood\ntemplate <typename scalar_t>\n__global__ void weight_lik_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Compute obs_pred = pred @ C.T\n scalar_t log_lik = 0;\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n}\n\n// Normalize log weights (logsumexp)\ntemplate <typename scalar_t>\n__global__ void normalize_kernel(\n scalar_t* __restrict__ new_log_w,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n int p = tid;\n \n // Find max\n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n \n // First, reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n // Store warp results to shared memory\n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) {\n smem[warp_id] = my_val;\n }\n __syncthreads();\n \n // Reduce across warps (first warp only)\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) {\n smem[0] = val; // max_log_w\n }\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute exp(val - max) for each\n scalar_t my_exp = (p < P) ? exp(new_log_w[b * P + p] - max_log_w) : 0;\n \n // Reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) {\n smem[warp_id] = my_exp;\n }\n __syncthreads();\n \n // Reduce across warps\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) {\n smem[0] = val; // sum_exp\n }\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\n// Resample kernel: systematic resampling with cumulative sum\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ resampled,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Shared memory for cumulative sum (only first block of each batch uses it)\n extern __shared__ char smem_ptr[];\n scalar_t* cumsum = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n \n // Load weights into shared memory\n scalar_t my_w = (p < P) ? weights[b * P + p] : 0;\n cumsum[tid] = my_w;\n __syncthreads();\n \n // Parallel prefix sum (inclusive scan) using Blelloch/work-efficient algorithm\n // Since we're doing it within a block, we need to handle P threads\n // For simplicity, use sequential addressing (O(n^2) but small D)\n // Actually let's use parallel prefix sum\n int n = min(P, (int)blockDim.x);\n \n // Up-sweep (reduce)\n for (int offset = 1; offset < n; offset *= 2) {\n int idx = tid + offset;\n scalar_t val = 0;\n if (idx < n && tid % (2*offset) == 0) {\n val = cumsum[tid + offset];\n }\n __syncthreads();\n if (idx < n && tid % (2*offset) == 0) {\n cumsum[tid + offset] += cumsum[tid];\n }\n __syncthreads();\n }\n \n // Actually let me use a simpler approach: each thread computes cumsum up to its position\n // But we need to handle multiple blocks...\n // Let me rethink this\n \n // For systematic resampling, we need:\n // 1. Cumulative sum of weights\n // 2. Binary search for each (p + u_offset) / P\n \n // Since P might be > 1024, we can't fit all in shared memory\n // Let's use a different approach: compute cumsum in global memory\n \n // Actually, for this problem size (P=1024), we can use one block per batch\n // and do parallel scan in shared memory\n}\n\n// Alternative resample kernel using global memory for cumsum\ntemplate <typename scalar_t>\n__global__ void cumsum_kernel(\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ cumsum,\n int B, int P) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Sequential cumsum per batch (inefficient but correct)\n if (p == 0) {\n cumsum[b * P + 0] = weights[b * P + 0];\n for (int i = 1; i < P; i++) {\n cumsum[b * P + i] = cumsum[b * P + i-1] + weights[b * P + i];\n }\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void resample_gather_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ cumsum,\n scalar_t* __restrict__ resampled,\n scalar_t* __restrict__ u_offsets,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Generate stratified uniform\n scalar_t u_offset = u_offsets[b];\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[b * P + mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void init_u_offsets_kernel(\n scalar_t* __restrict__ u_offsets,\n int B,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n curandState state;\n curand_init(seed, b, 0, &state);\n u_offsets[b] = curand_uniform(&state);\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n auto cumsum = torch::empty({B, P}, options);\n auto u_offsets = torch::empty({B}, options);\n \n // Random seeds\n unsigned long long seed1 = std::chrono::system_clock::now().time_since_epoch().count();\n unsigned long long seed3 = seed1 + 67890;\n \n int threads_per_block = 256;\n int blocks_y = (P + threads_per_block - 1) / threads_per_block;\n \n // Predict kernel\n dim3 block(threads_per_block);\n dim3 grid(B, blocks_y);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid, block>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D, seed1);\n }));\n \n // Weight kernel (compute log likelihood)\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_lik_kernel\", ([&] {\n weight_lik_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Normalize (logsumexp)\n int smem_size = ((threads_per_block + 31) / 32) * sizeof(float); // For warp reductions\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"normalize_kernel\", ([&] {\n int smem_size_typed = ((threads_per_block + 31) / 32) * sizeof(scalar_t);\n normalize_kernel<scalar_t><<<B, threads_per_block, smem_size_typed>>>(\n new_log_w.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Compute cumulative sum\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"cumsum_kernel\", ([&] {\n cumsum_kernel<scalar_t><<<B, 1>>>(\n weights.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Initialize random offsets\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"init_u_offsets_kernel\", ([&] {\n init_u_offsets_kernel<scalar_t><<<B, 1>>>(\n u_offsets.data_ptr<scalar_t>(),\n B, seed3);\n }));\n \n // Resample gather\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_gather_kernel\", ([&] {\n resample_gather_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D, seed3);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v3\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n extra_cuda_cflags=[\"-lcurand\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n self.state_dim, self.obs_dim, self.num_particles,\n self.process_noise, self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 6 · 1 tool call(s) · 172.5s turn · 25.4s LLM · tokens in=16,014 · out=3,082 · total=19,096 · 13,094 chars (click to expand)
turn 6172.5s turn · 25.4s LLM · 147.1s tools · tokens in=16,014 · out=3,082 · total=19,096
reasoning
The compilation succeeded. Let me run the correctness test.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n\n// Predict kernel: one thread per particle\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n scalar_t* __restrict__ pred,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Initialize random state for this particle\n curandState state;\n curand_init(seed, b * P + p, 0, &state);\n \n // Compute x @ A.T for this particle (all dimensions)\n for (int d = 0; d < D; d++) {\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise (0.1 * randn)\n val += scalar_t(0.1) * curand_normal(&state);\n pred[b * P * D + p * D + d] = val;\n }\n}\n\n// Weight kernel: compute log likelihood\ntemplate <typename scalar_t>\n__global__ void weight_lik_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Compute obs_pred = pred @ C.T\n scalar_t log_lik = 0;\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n}\n\n// Normalize log weights (logsumexp)\ntemplate <typename scalar_t>\n__global__ void normalize_kernel(\n scalar_t* __restrict__ new_log_w,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n int p = tid;\n \n // Find max\n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n \n // First, reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n // Store warp results to shared memory\n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) {\n smem[warp_id] = my_val;\n }\n __syncthreads();\n \n // Reduce across warps (first warp only)\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) {\n smem[0] = val; // max_log_w\n }\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute exp(val - max) for each\n scalar_t my_exp = (p < P) ? exp(new_log_w[b * P + p] - max_log_w) : 0;\n \n // Reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) {\n smem[warp_id] = my_exp;\n }\n __syncthreads();\n \n // Reduce across warps\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) {\n smem[0] = val; // sum_exp\n }\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\n// Alternative resample kernel using global memory for cumsum\ntemplate <typename scalar_t>\n__global__ void cumsum_kernel(\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ cumsum,\n int B, int P) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Sequential cumsum per batch (inefficient but correct)\n if (p == 0) {\n cumsum[b * P + 0] = weights[b * P + 0];\n for (int i = 1; i < P; i++) {\n cumsum[b * P + i] = cumsum[b * P + i-1] + weights[b * P + i];\n }\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void resample_gather_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ cumsum,\n scalar_t* __restrict__ resampled,\n scalar_t* __restrict__ u_offsets,\n int B, int P, int D,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Generate stratified uniform\n scalar_t u_offset = u_offsets[b];\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[b * P + mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\ntemplate <typename scalar_t>\n__global__ void init_u_offsets_kernel(\n scalar_t* __restrict__ u_offsets,\n int B,\n unsigned long long seed) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n curandState state;\n curand_init(seed, b, 0, &state);\n u_offsets[b] = curand_uniform(&state);\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n auto cumsum = torch::empty({B, P}, options);\n auto u_offsets = torch::empty({B}, options);\n \n // Random seeds\n unsigned long long seed1 = std::chrono::system_clock::now().time_since_epoch().count();\n unsigned long long seed3 = seed1 + 67890;\n \n int threads_per_block = 256;\n int blocks_y = (P + threads_per_block - 1) / threads_per_block;\n \n // Predict kernel\n dim3 block(threads_per_block);\n dim3 grid(B, blocks_y);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid, block>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D, seed1);\n }));\n \n // Weight kernel (compute log likelihood)\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_lik_kernel\", ([&] {\n weight_lik_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Normalize (logsumexp)\n int smem_size = ((threads_per_block + 31) / 32) * sizeof(float); // For warp reductions\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"normalize_kernel\", ([&] {\n int smem_size_typed = ((threads_per_block + 31) / 32) * sizeof(scalar_t);\n normalize_kernel<scalar_t><<<B, threads_per_block, smem_size_typed>>>(\n new_log_w.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Compute cumulative sum\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"cumsum_kernel\", ([&] {\n cumsum_kernel<scalar_t><<<B, 1>>>(\n weights.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Initialize random offsets\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"init_u_offsets_kernel\", ([&] {\n init_u_offsets_kernel<scalar_t><<<B, 1>>>(\n u_offsets.data_ptr<scalar_t>(),\n B, seed3);\n }));\n \n // Resample gather\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_gather_kernel\", ([&] {\n resample_gather_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D, seed3);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n int state_dim,\n int obs_dim,\n int num_particles,\n double process_noise,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v3\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n extra_cuda_cflags=[\"-lcurand\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n self.state_dim, self.obs_dim, self.num_particles,\n self.process_noise, self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 5) trials did not all match. correctness_issue: Output mismatch max_difference: ['4.914722', '5.615090', '5.010184', '5.120103', '4.999037'] avg_difference: ['0.874415', '0.851649', '0.854808', '0.863704', '0.868045']
turn 7 · 1 tool call(s) · 201.5s turn · 29.7s LLM · tokens in=19,193 · out=3,487 · total=22,680 · 14,881 chars (click to expand)
turn 7201.5s turn · 29.7s LLM · 171.7s tools · tokens in=19,193 · out=3,487 · total=22,680
reasoning
The output mismatch is expected because I'm generating different random numbers than PyTorch. The resampling uses random numbers, and the prediction also uses random noise. Since I'm using curand with a different seed, the outputs won't match. But wait - the correctness check should be comparing to the reference model. The issue is that my implementation generates different random numbers, so the outputs can't match exactly. Looking at the reference code more carefully: 1. `pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)` - uses torch.randn which is deterministic given the RNG state 2. `u = (torch.arange(P, device=particles.device, dtype=particles.dtype) + torch.rand(B, 1, device=particles.device)) / P` - uses torch.rand The key insight is that the reference uses PyTorch's RNG state. My implementation uses curand with a different seed, so the outputs will never match exactly. For correctness, I need to match the behavior of the PyTorch implementation. The problem is that I can't access PyTorch's internal RNG state. Let me re-read the reference more carefully: - The forward function uses `torch.randn_like(particles)` and `torch.rand(B, 1, device=...)` - These are based on the current PyTorch RNG state One approach is to: 1. Generate the random numbers in PyTorch first, then pass them to CUDA 2. Or use PyTorch's RNG to generate random numbers and then use them in the kernel Actually, the simplest approach that guarantees correctness is to: 1. Use PyTorch for the random number generation parts (predict noise, resampling offsets) 2. Use CUDA for the deterministic parts (matrix multiply, log-likelihood, cumsum, searchsorted) But the predict kernel also needs random noise per particle. Let me restructure to make this work: Actually, looking at this more carefully, I think the best approach is to generate all random numbers in PyTorch first, then pass them to CUDA kernels. This ensures we match the PyTorch reference exactly. Let me rewrite: 1. Generate process noise in PyTorch: `process_noise * torch.randn_like(particles)` 2. Generate resampling offsets in PyTorch: `torch.rand(B, 1)` 3. Then run CUDA kernels for the deterministic operations Wait, but then I might as well just optimize the whole thing in PyTorch with custom ops. Let me think about what can actually be optimized here. Actually, let me try a different approach: pass the random numbers as input to the CUDA kernel. This way the kernel can still be fast but we match PyTorch's random numbers.
assistantThe issue is that I'm generating different random numbers than PyTorch. For correctness, I need to use PyTorch's RNG to generate random numbers, then pass them to CUDA kernels. Let me rewrite:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n// Predict kernel: one thread per particle, compute pred = particles @ A.T + noise\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n const scalar_t* __restrict__ noise,\n scalar_t* __restrict__ pred,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Compute x @ A.T for this particle (all dimensions)\n for (int d = 0; d < D; d++) {\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise\n pred[b * P * D + p * D + d] = val + noise[b * P * D + p * D + d];\n }\n}\n\n// Weight kernel: compute log likelihood\ntemplate <typename scalar_t>\n__global__ void weight_lik_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Compute obs_pred = pred @ C.T\n scalar_t log_lik = 0;\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n}\n\n// Normalize log weights (logsumexp)\ntemplate <typename scalar_t>\n__global__ void normalize_kernel(\n scalar_t* __restrict__ new_log_w,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n int p = tid;\n \n // Find max\n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n \n // First, reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n // Store warp results to shared memory\n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) {\n smem[warp_id] = my_val;\n }\n __syncthreads();\n \n // Reduce across warps (first warp only)\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) {\n smem[0] = val; // max_log_w\n }\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute exp(val - max) for each\n scalar_t my_exp = (p < P) ? exp(new_log_w[b * P + p] - max_log_w) : 0;\n \n // Reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) {\n smem[warp_id] = my_exp;\n }\n __syncthreads();\n \n // Reduce across warps\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) {\n smem[0] = val; // sum_exp\n }\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\n// Cumulative sum kernel (sequential, one thread per batch)\ntemplate <typename scalar_t>\n__global__ void cumsum_kernel(\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ cumsum,\n int B, int P) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Sequential cumsum per batch\n if (p == 0) {\n cumsum[b * P + 0] = weights[b * P + 0];\n for (int i = 1; i < P; i++) {\n cumsum[b * P + i] = cumsum[b * P + i-1] + weights[b * P + i];\n }\n }\n}\n\n// Resample gather kernel: binary search and gather\ntemplate <typename scalar_t>\n__global__ void resample_gather_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ cumsum,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Get stratified uniform\n scalar_t u_offset = u_offsets[b];\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[b * P + mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n torch::Tensor process_noise_tensor,\n torch::Tensor u_offsets,\n int state_dim,\n int obs_dim,\n int num_particles,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n auto cumsum = torch::empty({B, P}, options);\n \n int threads_per_block = 256;\n int blocks_y = (P + threads_per_block - 1) / threads_per_block;\n \n // Predict kernel\n dim3 block(threads_per_block);\n dim3 grid(B, blocks_y);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid, block>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n process_noise_tensor.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n // Weight kernel (compute log likelihood)\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_lik_kernel\", ([&] {\n weight_lik_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Normalize (logsumexp)\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"normalize_kernel\", ([&] {\n int smem_size_typed = ((threads_per_block + 31) / 32) * sizeof(scalar_t);\n normalize_kernel<scalar_t><<<B, threads_per_block, smem_size_typed>>>(\n new_log_w.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Compute cumulative sum\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"cumsum_kernel\", ([&] {\n cumsum_kernel<scalar_t><<<B, 1>>>(\n weights.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Resample gather\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_gather_kernel\", ([&] {\n resample_gather_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n torch::Tensor process_noise_tensor,\n torch::Tensor u_offsets,\n int state_dim,\n int obs_dim,\n int num_particles,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v4\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n B, P, D = particles.shape\n \n # Generate random numbers using PyTorch RNG (for correctness)\n process_noise_tensor = self.process_noise * torch.randn_like(particles)\n u_offsets = torch.rand(B, 1, device=particles.device, dtype=particles.dtype)\n \n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n process_noise_tensor, u_offsets.squeeze(1),\n self.state_dim, self.obs_dim, self.num_particles,\n self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 8 · 1 tool call(s) · 173.2s turn · 24.9s LLM · tokens in=22,131 · out=2,915 · total=25,046 · 12,482 chars (click to expand)
turn 8173.2s turn · 24.9s LLM · 148.2s tools · tokens in=22,131 · out=2,915 · total=25,046
reasoning
Now let me test correctness again. The issue now is that I need to be careful about how PyTorch generates random numbers and how I'm using them.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n// Predict kernel: one thread per particle, compute pred = particles @ A.T + noise\ntemplate <typename scalar_t>\n__global__ void predict_kernel(\n const scalar_t* __restrict__ particles,\n const scalar_t* __restrict__ A,\n const scalar_t* __restrict__ noise,\n scalar_t* __restrict__ pred,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Compute x @ A.T for this particle (all dimensions)\n for (int d = 0; d < D; d++) {\n scalar_t val = 0;\n for (int k = 0; k < D; k++) {\n val += particles[b * P * D + p * D + k] * A[d * D + k];\n }\n // Add process noise\n pred[b * P * D + p * D + d] = val + noise[b * P * D + p * D + d];\n }\n}\n\n// Weight kernel: compute log likelihood\ntemplate <typename scalar_t>\n__global__ void weight_lik_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ C,\n const scalar_t* __restrict__ observation,\n const scalar_t* __restrict__ log_weights,\n scalar_t* __restrict__ new_log_w,\n int B, int P, int D, int obs_dim,\n scalar_t obs_noise_sq) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Compute obs_pred = pred @ C.T\n scalar_t log_lik = 0;\n for (int o = 0; o < obs_dim; o++) {\n scalar_t obs_pred_o = 0;\n for (int d = 0; d < D; d++) {\n obs_pred_o += pred[b * P * D + p * D + d] * C[o * D + d];\n }\n scalar_t diff = observation[b * obs_dim + o] - obs_pred_o;\n log_lik += -0.5 * diff * diff / obs_noise_sq;\n }\n new_log_w[b * P + p] = log_weights[b * P + p] + log_lik;\n}\n\n// Normalize log weights (logsumexp)\ntemplate <typename scalar_t>\n__global__ void normalize_kernel(\n scalar_t* __restrict__ new_log_w,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n int p = tid;\n \n // Find max\n scalar_t my_val = (p < P) ? new_log_w[b * P + p] : -INFINITY;\n \n // First, reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n // Store warp results to shared memory\n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) {\n smem[warp_id] = my_val;\n }\n __syncthreads();\n \n // Reduce across warps (first warp only)\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) {\n smem[0] = val; // max_log_w\n }\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute exp(val - max) for each\n scalar_t my_exp = (p < P) ? exp(new_log_w[b * P + p] - max_log_w) : 0;\n \n // Reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) {\n smem[warp_id] = my_exp;\n }\n __syncthreads();\n \n // Reduce across warps\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) {\n smem[0] = val; // sum_exp\n }\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n new_log_w[b * P + p] -= log_sum;\n }\n}\n\n// Cumulative sum kernel (sequential, one thread per batch)\ntemplate <typename scalar_t>\n__global__ void cumsum_kernel(\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ cumsum,\n int B, int P) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Sequential cumsum per batch\n if (p == 0) {\n cumsum[b * P + 0] = weights[b * P + 0];\n for (int i = 1; i < P; i++) {\n cumsum[b * P + i] = cumsum[b * P + i-1] + weights[b * P + i];\n }\n }\n}\n\n// Resample gather kernel: binary search and gather\ntemplate <typename scalar_t>\n__global__ void resample_gather_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ cumsum,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n // Get stratified uniform\n scalar_t u_offset = u_offsets[b];\n scalar_t u = (scalar_t(p) + u_offset) / scalar_t(P);\n \n // Binary search for index\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n scalar_t mid_val = cumsum[b * P + mid];\n if (mid_val < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n // Gather from pred\n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n torch::Tensor process_noise_tensor,\n torch::Tensor u_offsets,\n int state_dim,\n int obs_dim,\n int num_particles,\n double obs_noise) {\n \n int B = particles.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = particles.options();\n auto pred = torch::empty({B, P, D}, options);\n auto new_log_w = torch::empty({B, P}, options);\n auto resampled = torch::empty({B, P, D}, options);\n auto cumsum = torch::empty({B, P}, options);\n \n int threads_per_block = 256;\n int blocks_y = (P + threads_per_block - 1) / threads_per_block;\n \n // Predict kernel\n dim3 block(threads_per_block);\n dim3 grid(B, blocks_y);\n \n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"predict_kernel\", ([&] {\n predict_kernel<scalar_t><<<grid, block>>>(\n particles.data_ptr<scalar_t>(),\n A.data_ptr<scalar_t>(),\n process_noise_tensor.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n // Weight kernel (compute log likelihood)\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"weight_lik_kernel\", ([&] {\n weight_lik_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n C.data_ptr<scalar_t>(),\n observation.data_ptr<scalar_t>(),\n log_weights.data_ptr<scalar_t>(),\n new_log_w.data_ptr<scalar_t>(),\n B, P, D, obs_dim, scalar_t(obs_noise * obs_noise));\n }));\n \n // Normalize (logsumexp)\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"normalize_kernel\", ([&] {\n int smem_size_typed = ((threads_per_block + 31) / 32) * sizeof(scalar_t);\n normalize_kernel<scalar_t><<<B, threads_per_block, smem_size_typed>>>(\n new_log_w.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Convert to weights for resampling\n auto weights = torch::exp(new_log_w);\n \n // Compute cumulative sum\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"cumsum_kernel\", ([&] {\n cumsum_kernel<scalar_t><<<B, 1>>>(\n weights.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n B, P);\n }));\n \n // Resample gather\n AT_DISPATCH_FLOATING_TYPES(particles.scalar_type(), \"resample_gather_kernel\", ([&] {\n resample_gather_kernel<scalar_t><<<grid, block>>>(\n pred.data_ptr<scalar_t>(),\n cumsum.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_cuda(\n torch::Tensor particles,\n torch::Tensor log_weights,\n torch::Tensor observation,\n torch::Tensor A,\n torch::Tensor C,\n torch::Tensor process_noise_tensor,\n torch::Tensor u_offsets,\n int state_dim,\n int obs_dim,\n int num_particles,\n double obs_noise);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v4\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_cuda\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n B, P, D = particles.shape\n \n # Generate random numbers using PyTorch RNG (for correctness)\n process_noise_tensor = self.process_noise * torch.randn_like(particles)\n u_offsets = torch.rand(B, 1, device=particles.device, dtype=particles.dtype)\n \n resampled, uniform_log_w = particle_filter_module.particle_filter_cuda(\n particles, log_weights, observation, self.A, self.C,\n process_noise_tensor, u_offsets.squeeze(1),\n self.state_dim, self.obs_dim, self.num_particles,\n self.obs_noise\n )\n return resampled, uniform_log_w" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 5) trials did not all match. correctness_issue: Output mismatch max_difference: ['5.172936', '4.660032', '5.045762', '4.685091', '5.880738'] avg_difference: ['0.882142', '0.857190', '0.848155', '0.861132', '0.863904']
turn 9 · 1 tool call(s) · 401.0s turn · 50.7s LLM · tokens in=25,154 · out=5,036 · total=30,190 · 21,029 chars (click to expand)
turn 9401.0s turn · 50.7s LLM · 350.3s tools · tokens in=25,154 · out=5,036 · total=30,190
reasoning
The correctness is still failing. The issue might be that I'm using the random numbers differently than PyTorch. Let me look at the reference implementation more carefully: 1. `pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)` - This generates process noise, and particles @ A.T is added to it. 2. For resampling: `u = (torch.arange(P, device=particles.device, dtype=particles.dtype) + torch.rand(B, 1, device=particles.device)) / P` The key issue is that I'm not generating the random numbers in the same order or with the same seeds. The PyTorch reference generates random numbers inline, so I need to match that exactly. Actually wait - the issue is that the reference implementation uses torch.randn_like(particles) which generates random numbers with the PyTorch RNG state. And I'm doing the same thing in my forward function. So the random numbers should be the same. Let me trace through more carefully: Reference: ```python pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles) ``` My code: ```python process_noise_tensor = self.process_noise * torch.randn_like(particles) # In kernel: pred[b * P * D + p * D + d] = val + noise[b * P * D + p * D + d] ``` This should be equivalent since particles @ A.T is computed in the kernel, and the noise is passed in. Let me check if the order of operations matters. In the reference: - `particles @ self.A.t()` is computed first, then noise is added In my kernel: - I compute the matrix product, then add noise That should be equivalent... Wait, I think the issue might be with how I'm computing the matrix product. Let me check: Reference: `particles @ self.A.t()` - particles shape: (B, P, D) - A.t() shape: (D, D) (since A is state_dim x state_dim) - Result: (B, P, D) My kernel computes: ```cpp for (int d = 0; d < D; d++) { scalar_t val = 0; for (int k = 0; k < D; k++) { val += particles[b * P * D + p * D + k] * A[d * D + k]; } } ``` This is computing `particles[b, p, :] @ A.T`, which should give the same result as `particles @ A.T`. But wait - the reference uses `A.t()` (transpose), while my kernel accesses `A[d * D + k]` which corresponds to row `d` and column `k`. Let me check if this matches the transpose operation. A is stored in row-major order, so `A[d * D + k]` gives the element at row `d`, column `k`. When I compute the matrix product this way, I'm effectively doing `particles * A` rather than `particles * A.T`. Let me verify with an example. If A = [[1, 2], [3, 4]], then A.T = [[1, 3], [2, 4]]. For a particle [a, b], multiplying by A.T gives [a*1 + b*2, a*3 + b*4]. My kernel produces the same result: the first dimension is a*A[0,0] + b*A[0,1] = a*1 + b*2, and the second is a*1*... actually, I need to check the indexing more carefully. Looking at my kernel implementation, when d=0, I iterate k from 0 to D-1, computing particles[b,p,k] * A[0*D+k]. This gives particles[0]*A[0,0] + particles[1]*A[0,1], which matches the expected behavior. So the kernel is correctly computing particles @ A.T after all. But the correctness check is still failing. The random number generation in PyTorch follows a sequential pattern across the entire tensor, so the order matters. My kernel generates random values in the same sequence—noise[b*P*D + p*D + d] corresponds to the (p,d) position within each batch, which aligns with how PyTorch would populate a tensor of shape (B,P,D). Actually, I think the real issue is simpler. I should just use PyTorch to handle the entire predict step directly rather than trying to match the random number generation in CUDA. Looking at the actual operations: - Matrix multiply with A.T - Add process noise - Compute observation prediction via another matrix multiply with C.T - Calculate log-likelihood from the difference between observation and prediction The logsumexp normalization and subsequent exponential/cumsum/resample operations are where I can actually accelerate things with CUDA. The matrix multiplies might benefit from cuBLAS, but the sampling and resampling logic is where custom kernels would help most. The reference code computes the observation prediction as pred @ C.T, finds the difference from the actual observation, then normalizes the log weights before resampling. It generates uniform random offsets and uses systematic resampling to select particle indices based on cumulative weights. My approach should align with this, but I need to verify the uniform offset generation matches. The reference creates a (B, 1) tensor of random values, then combines it with arange(P) to produce stratified samples. I'm doing the same with my u_offsets tensor, but I should double-check the broadcasting and division by P to ensure the scaling is identical. The real issue might be in how I'm constructing the resampling indices. The reference uses `batch_idx` to index into pred along the batch dimension, then `indices` to select which particles to keep. I need to make sure my gather operation produces the same result—checking whether my indexing matches the reference's advanced indexing pattern for pred[batch_idx, indices]. Looking at my kernel, I'm indexing pred with `b * P * D + idx * D + d`, which should correctly pull from batch `b`, particle `idx`, dimension `d`. But maybe the binary search isn't finding the right `idx` values, or there's an issue with how `u` is being computed. I should add debugging output to compare the indices and intermediate values between my kernel and the reference implementation. Though if the indices don't match, the output won't either, so I need to figure out what's different about how I'm computing them. Let me trace through the systematic resampling more carefully. The algorithm computes normalized weights, builds a cumulative sum, then for each position generates a stratified uniform sample and finds where it falls in the cumulative distribution. I need to verify my binary search is actually implementing this correctly. The key difference I'm noticing is in how the indices are constrained. The reference uses `indices.clamp(0, P - 1)` after searchsorted, but if the weights are properly normalized and the cumulative sum reaches 1.0, the final uniform value should always land within bounds anyway. Let me check if my normalization is actually producing valid cumulative sums. In my normalize kernel, I subtract the log-sum-exp from each log weight, which should give valid normalized log weights. Then when I exponentiate them in the cumsum kernel, I get the actual probabilities. The cumulative sum construction looks correct—I'm building it sequentially for each batch. But I should verify the exponentiation happens before the cumulative sum is computed, since that's where the weights actually become probabilities. The issue might be in how the random offset u is generated and used. The reference computes u as (arange(P) + rand(B, 1)) / P, creating stratified uniform samples across particles with a shared offset per batch. My implementation does the same thing—generating u_offset as rand(B, 1), then computing u = (p + u_offset[b]) / P for each particle. The broadcasting should match, but I need to check if there's a subtle difference in how the offset is being applied. Looking at the reference code more carefully, `torch.rand(B, 1)` produces a column vector that broadcasts correctly when added to `torch.arange(P)`. My implementation squeezes u_offsets to shape (B,), which still broadcasts properly since u_offset[b] is a scalar. However, I notice the reference uses `torch.rand(B, 1, device=particles.device)` while my version doesn't specify the device—that could be the discrepancy. Actually, I am passing device and dtype to `torch.rand`, so that's not it. The real problem might be that I'm consuming random numbers from the RNG state in a different order than the reference implementation. Since my forward method calls `torch.randn_like(particles)` to generate process_noise_tensor before `torch.rand()` for u_offsets, the sequence of random draws differs from the reference, which might call these functions in the opposite order or with different shapes that affect the RNG state differently. The PyTorch reference interleaves the operations—first drawing from randn for the noise, then computing the observation prediction, then drawing from rand for the offsets. But my implementation generates all the noise upfront, which means I'm pulling a different number of random values at once, potentially shifting the RNG state in a way that makes subsequent draws diverge from what the reference expects. I should generate the random tensors in exactly the same sequence and with the same dimensions as the reference does. Or maybe I should just reimplement the whole forward pass in PyTorch and only offload the expensive parts to CUDA, keeping the random number generation identical to the original. Let me check whether the numerical outputs actually match by having the CUDA kernels handle just the compute-intensive operations while using PyTorch for everything else. The predict and observation prediction steps are just matrix multiplications, and PyTorch's built-in operations should be equivalent to what I'm doing in CUDA—plus they'd preserve the exact random number sequence from the reference implementation. The actual bottleneck worth accelerating is the resampling phase: the cumulative sum, uniform value generation, searchsorted operation, and the final gather. The matrix operations aren't the limiting factor here, so I should focus CUDA optimization on those specific resampling steps instead.
assistantI see the issue - the random number generation order matters. Let me use PyTorch for most operations and only use CUDA for the compute-intensive resampling part:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n// Normalize log weights (logsumexp) - one block per batch\ntemplate <typename scalar_t>\n__global__ void normalize_kernel(\n scalar_t* __restrict__ log_w,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n int p = tid;\n \n // Find max across particles\n scalar_t my_val = (p < P) ? log_w[b * P + p] : -INFINITY;\n \n // Reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) {\n smem[warp_id] = my_val;\n }\n __syncthreads();\n \n // Reduce across warps\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute sum of exp\n scalar_t my_exp = (p < P) ? exp(log_w[b * P + p] - max_log_w) : 0;\n \n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) {\n smem[warp_id] = my_exp;\n }\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n log_w[b * P + p] -= log_sum;\n }\n}\n\n// Cumulative sum - one thread per batch (sequential for simplicity)\ntemplate <typename scalar_t>\n__global__ void cumsum_kernel(\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ cumsum,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n cumsum[b * P + 0] = weights[b * P + 0];\n for (int i = 1; i < P; i++) {\n cumsum[b * P + i] = cumsum[b * P + i - 1] + weights[b * P + i];\n }\n}\n\n// Systematic resample - binary search and gather\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ cumsum,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n scalar_t u = (scalar_t(p) + u_offsets[b]) / scalar_t(P);\n \n // Binary search\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n if (cumsum[b * P + mid] < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\n// Combined kernel: normalize, cumsum, resample\ntemplate <typename scalar_t>\n__global__ void particle_filter_resample_kernel(\n scalar_t* __restrict__ log_w,\n const scalar_t* __restrict__ pred,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n scalar_t* cumsum = smem + 32; // 32 for reduction, P for cumsum\n \n int tid = threadIdx.x;\n int p = tid;\n \n // === Normalize (logsumexp) ===\n scalar_t my_val = (p < P) ? log_w[b * P + p] : -INFINITY;\n \n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) smem[warp_id] = my_val;\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n scalar_t my_exp = (p < P) ? exp(log_w[b * P + p] - max_log_w) : 0;\n \n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) smem[warp_id] = my_exp;\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n scalar_t norm_log_w = (p < P) ? (log_w[b * P + p] - log_sum) : 0;\n \n // === Cumulative sum of exp(norm_log_w) ===\n scalar_t weight = (p < P) ? exp(norm_log_w) : 0;\n cumsum[p] = weight;\n __syncthreads();\n \n // Parallel prefix sum (work-efficient)\n for (int offset = 1; offset < P; offset *= 2) {\n scalar_t val = 0;\n if (p >= offset) val = cumsum[p - offset];\n __syncthreads();\n if (p >= offset) cumsum[p] += val;\n __syncthreads();\n }\n \n // === Resample ===\n scalar_t u = (scalar_t(p) + u_offsets[b]) / scalar_t(P);\n \n // Binary search\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n if (cumsum[mid] < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(\n torch::Tensor log_w,\n torch::Tensor pred,\n torch::Tensor u_offsets,\n int num_particles,\n int state_dim) {\n \n int B = log_w.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = log_w.options();\n auto resampled = torch::empty({B, P, D}, options);\n \n int threads_per_block = 256;\n int blocks_y = (P + threads_per_block - 1) / threads_per_block;\n dim3 block(threads_per_block);\n dim3 grid(B, blocks_y);\n \n // Smem: 32 for reductions + P for cumsum\n int smem_size = (32 + P) * sizeof(float);\n \n AT_DISPATCH_FLOATING_TYPES(log_w.scalar_type(), \"particle_filter_resample_kernel\", ([&] {\n particle_filter_resample_kernel<scalar_t><<<B, threads_per_block, (32 + P) * sizeof(scalar_t)>>>(\n log_w.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(\n torch::Tensor log_w,\n torch::Tensor pred,\n torch::Tensor u_offsets,\n int num_particles,\n int state_dim);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v5\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_resample_cuda\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n B, P, D = particles.shape\n \n # Predict: propagate through dynamics (same as reference)\n pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)\n \n # Weight: compute log p(y_t | x_t)\n obs_pred = pred @ self.C.t()\n diff = observation.unsqueeze(1) - obs_pred\n log_lik = -0.5 * (diff ** 2).sum(-1) / (self.obs_noise ** 2)\n new_log_w = log_weights + log_lik\n \n # Generate u_offsets for resampling\n u_offsets = torch.rand(B, 1, device=particles.device, dtype=particles.dtype)\n \n # CUDA kernel for normalize + cumsum + resample\n resampled, uniform_log_w = particle_filter_module.particle_filter_resample_cuda(\n new_log_w, pred, u_offsets.squeeze(1), self.num_particles, self.state_dim\n )\n \n return resampled, uniform_log_w" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 10 · 1 tool call(s) · 86.0s turn · 23.7s LLM · tokens in=28,095 · out=2,880 · total=30,975 · 11,401 chars (click to expand)
turn 1086.0s turn · 23.7s LLM · 62.3s tools · tokens in=28,095 · out=2,880 · total=30,975
reasoning
The kernel compiled. Let me run correctness to see if it matches the reference.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n// Normalize log weights (logsumexp) - one block per batch\ntemplate <typename scalar_t>\n__global__ void normalize_kernel(\n scalar_t* __restrict__ log_w,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n \n int tid = threadIdx.x;\n int p = tid;\n \n // Find max across particles\n scalar_t my_val = (p < P) ? log_w[b * P + p] : -INFINITY;\n \n // Reduce within each warp\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) {\n smem[warp_id] = my_val;\n }\n __syncthreads();\n \n // Reduce across warps\n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute sum of exp\n scalar_t my_exp = (p < P) ? exp(log_w[b * P + p] - max_log_w) : 0;\n \n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) {\n smem[warp_id] = my_exp;\n }\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n if (p < P) {\n log_w[b * P + p] -= log_sum;\n }\n}\n\n// Cumulative sum - one thread per batch (sequential for simplicity)\ntemplate <typename scalar_t>\n__global__ void cumsum_kernel(\n const scalar_t* __restrict__ weights,\n scalar_t* __restrict__ cumsum,\n int B, int P) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n cumsum[b * P + 0] = weights[b * P + 0];\n for (int i = 1; i < P; i++) {\n cumsum[b * P + i] = cumsum[b * P + i - 1] + weights[b * P + i];\n }\n}\n\n// Systematic resample - binary search and gather\ntemplate <typename scalar_t>\n__global__ void resample_kernel(\n const scalar_t* __restrict__ pred,\n const scalar_t* __restrict__ cumsum,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n int p = threadIdx.x + blockIdx.y * blockDim.x;\n \n if (b >= B || p >= P) return;\n \n scalar_t u = (scalar_t(p) + u_offsets[b]) / scalar_t(P);\n \n // Binary search\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n if (cumsum[b * P + mid] < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\n// Combined kernel: normalize, cumsum, resample\ntemplate <typename scalar_t>\n__global__ void particle_filter_resample_kernel(\n scalar_t* __restrict__ log_w,\n const scalar_t* __restrict__ pred,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n scalar_t* cumsum = smem + 32; // 32 for reduction, P for cumsum\n \n int tid = threadIdx.x;\n int p = tid;\n \n // === Normalize (logsumexp) ===\n scalar_t my_val = (p < P) ? log_w[b * P + p] : -INFINITY;\n \n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, my_val, offset);\n my_val = max(my_val, other);\n }\n \n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) smem[warp_id] = my_val;\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n scalar_t other = __shfl_xor_sync(0xffffffff, val, offset);\n val = max(val, other);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n scalar_t my_exp = (p < P) ? exp(log_w[b * P + p] - max_log_w) : 0;\n \n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) smem[warp_id] = my_exp;\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n scalar_t norm_log_w = (p < P) ? (log_w[b * P + p] - log_sum) : 0;\n \n // === Cumulative sum of exp(norm_log_w) ===\n scalar_t weight = (p < P) ? exp(norm_log_w) : 0;\n cumsum[p] = weight;\n __syncthreads();\n \n // Parallel prefix sum (work-efficient)\n for (int offset = 1; offset < P; offset *= 2) {\n scalar_t val = 0;\n if (p >= offset) val = cumsum[p - offset];\n __syncthreads();\n if (p >= offset) cumsum[p] += val;\n __syncthreads();\n }\n \n // === Resample ===\n scalar_t u = (scalar_t(p) + u_offsets[b]) / scalar_t(P);\n \n // Binary search\n int lo = 0, hi = P - 1;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n if (cumsum[mid] < u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(\n torch::Tensor log_w,\n torch::Tensor pred,\n torch::Tensor u_offsets,\n int num_particles,\n int state_dim) {\n \n int B = log_w.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = log_w.options();\n auto resampled = torch::empty({B, P, D}, options);\n \n int threads_per_block = 256;\n int blocks_y = (P + threads_per_block - 1) / threads_per_block;\n dim3 block(threads_per_block);\n dim3 grid(B, blocks_y);\n \n // Smem: 32 for reductions + P for cumsum\n int smem_size = (32 + P) * sizeof(float);\n \n AT_DISPATCH_FLOATING_TYPES(log_w.scalar_type(), \"particle_filter_resample_kernel\", ([&] {\n particle_filter_resample_kernel<scalar_t><<<B, threads_per_block, (32 + P) * sizeof(scalar_t)>>>(\n log_w.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(\n torch::Tensor log_w,\n torch::Tensor pred,\n torch::Tensor u_offsets,\n int num_particles,\n int state_dim);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v5\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_resample_cuda\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n B, P, D = particles.shape\n \n # Predict: propagate through dynamics (same as reference)\n pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)\n \n # Weight: compute log p(y_t | x_t)\n obs_pred = pred @ self.C.t()\n diff = observation.unsqueeze(1) - obs_pred\n log_lik = -0.5 * (diff ** 2).sum(-1) / (self.obs_noise ** 2)\n new_log_w = log_weights + log_lik\n \n # Generate u_offsets for resampling\n u_offsets = torch.rand(B, 1, device=particles.device, dtype=particles.dtype)\n \n # CUDA kernel for normalize + cumsum + resample\n resampled, uniform_log_w = particle_filter_module.particle_filter_resample_cuda(\n new_log_w, pred, u_offsets.squeeze(1), self.num_particles, self.state_dim\n )\n \n return resampled, uniform_log_w" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 5) trials did not all match. correctness_issue: Output mismatch max_difference: ['31.921265', '5.523582', '4.420011', '4.870840', '5.401549'] avg_difference: ['1.053730', '1.010619', '0.805802', '0.812896', '1.029505']
turn 11 · FINAL · 1 tool call(s) · 331.3s turn · 23.7s LLM · tokens in=31,159 · out=2,544 · total=33,703 · 10,739 chars (click to expand)
turn 11331.3s turn · 23.7s LLM · 307.6s tools · tokens in=31,159 · out=2,544 · total=33,703 · FINAL
reasoning
Let me think about what's happening. The issue is that the resampling step produces different results. The problem is: 1. The PyTorch reference uses `torch.searchsorted` which has specific behavior 2. My binary search might have a different boundary condition Let me look at the reference more carefully: ```python indices = torch.searchsorted(cumsum, u) indices = indices.clamp(0, P - 1) ``` `torch.searchsorted` finds the index where `u` should be inserted to maintain sorted order. For a cumulative sum [w0, w0+w1, w0+w1+w2, ...], if we have `u` in the range, we want the first index where cumsum[i] >= u. In my binary search, I'm doing the same thing conceptually. Let me check if the issue is with how I'm handling the normalized weights vs the reference. Actually wait - the reference computes: ```python weights = torch.exp(new_log_w) # new_log_w is already normalized cumsum = torch.cumsum(weights, dim=1) ``` But in my kernel, I'm normalizing the log weights and then computing weights = exp(norm_log_w). The cumsum of these weights should sum to 1.0. Actually, let me reconsider. The reference does: 1. Compute new_log_w = log_weights + log_lik 2. Normalize: new_log_w = new_log_w - logsumexp(new_log_w) 3. weights = exp(new_log_w) - these should sum to 1 4. cumsum = cumsum(weights) 5. u = (arange(P) + rand(B,1)) / P 6. indices = searchsorted(cumsum, u).clamp(0, P-1) The problem might be that when I call the kernel, the normalization and cumsum happen inside the kernel, so the intermediate values are computed in a slightly different order or precision. Actually, the real issue is likely the searchsorted behavior. In PyTorch: - searchsorted returns the index where the value should be inserted - For a value that equals an element in the array, it returns the rightmost suitable position by default Let me check: if cumsum = [0.1, 0.3, 0.6, 1.0] and u = 0.3, searchsorted would return index 2 (the position after 0.3). In my binary search: - lo=0, hi=3 - mid=1, cumsum[1]=0.3 < u=0.3? No, so hi=1 - mid=0, cumsum[0]=0.1 < u=0.3? Yes, so lo=1 - lo=1, hi=1, exit with idx=1 But searchsorted should return 2 for u=0.3 when looking for the insertion point. So there's a difference! Let me fix the binary search to match searchsorted's behavior. The condition should be `cumsum[mid] <= u` for the lo branch, not `cumsum[mid] < u`. Actually, I think the main issue is that I need to exactly replicate the PyTorch behavior. Since I've already spent many attempts on this, let me try a simpler approach: just use PyTorch for the entire operation but wrap it in the ModelNew class. This won't be faster, but it will be correct. Actually no, I need it to be faster. Let me try a minimal optimization: just offload the normalize + cumsum + resample to CUDA, but make sure it exactly matches the reference. Actually, let me just submit what I have. The output differences might be due to floating point precision differences in the reduction operations. Let me make one final attempt with exact matching of the searchsorted behavior.
assistantLet me fix the binary search to exactly match torch.searchsorted behavior:
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n// Combined kernel: normalize, cumsum, resample - one block per batch\ntemplate <typename scalar_t>\n__global__ void particle_filter_resample_kernel(\n scalar_t* __restrict__ log_w,\n const scalar_t* __restrict__ pred,\n scalar_t* __restrict__ resampled,\n const scalar_t* __restrict__ u_offsets,\n int B, int P, int D) {\n \n int b = blockIdx.x;\n if (b >= B) return;\n \n extern __shared__ char smem_ptr[];\n scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);\n scalar_t* cumsum = smem + 32;\n \n int tid = threadIdx.x;\n int p = tid;\n \n // === Normalize (logsumexp) ===\n scalar_t my_val = (p < P) ? log_w[b * P + p] : -INFINITY;\n \n // Warp reduce for max\n for (int offset = 16; offset > 0; offset >>= 1) {\n my_val = max(my_val, __shfl_xor_sync(0xffffffff, my_val, offset));\n }\n \n int lane_id = tid % 32;\n int warp_id = tid / 32;\n int num_warps = (blockDim.x + 31) / 32;\n \n if (lane_id == 0) smem[warp_id] = my_val;\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val = max(val, __shfl_xor_sync(0xffffffff, val, offset));\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t max_log_w = smem[0];\n __syncthreads();\n \n // Compute sum of exp\n scalar_t my_exp = (p < P) ? exp(log_w[b * P + p] - max_log_w) : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);\n }\n \n if (lane_id == 0) smem[warp_id] = my_exp;\n __syncthreads();\n \n if (warp_id == 0) {\n scalar_t val = (tid < num_warps) ? smem[tid] : 0;\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_xor_sync(0xffffffff, val, offset);\n }\n if (tid == 0) smem[0] = val;\n }\n __syncthreads();\n \n scalar_t sum_exp = smem[0];\n scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);\n \n // Normalize and compute weight\n scalar_t weight = (p < P) ? exp(log_w[b * P + p] - log_sum) : 0;\n \n // === Cumulative sum ===\n cumsum[p] = weight;\n __syncthreads();\n \n // Parallel prefix sum\n for (int offset = 1; offset < P; offset *= 2) {\n scalar_t val = 0;\n if (p >= offset) val = cumsum[p - offset];\n __syncthreads();\n if (p >= offset) cumsum[p] += val;\n __syncthreads();\n }\n \n // === Resample with searchsorted semantics ===\n scalar_t u = (scalar_t(p) + u_offsets[b]) / scalar_t(P);\n \n // Binary search matching torch.searchsorted rightmost behavior\n int lo = 0, hi = P;\n while (lo < hi) {\n int mid = (lo + hi) / 2;\n if (cumsum[mid] <= u) {\n lo = mid + 1;\n } else {\n hi = mid;\n }\n }\n int idx = min(lo, P - 1);\n \n for (int d = 0; d < D; d++) {\n resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];\n }\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(\n torch::Tensor log_w,\n torch::Tensor pred,\n torch::Tensor u_offsets,\n int num_particles,\n int state_dim) {\n \n int B = log_w.size(0);\n int P = num_particles;\n int D = state_dim;\n \n auto options = log_w.options();\n auto resampled = torch::empty({B, P, D}, options);\n \n int threads_per_block = 1024; // Use 1024 threads for P=1024\n \n AT_DISPATCH_FLOATING_TYPES(log_w.scalar_type(), \"particle_filter_resample_kernel\", ([&] {\n particle_filter_resample_kernel<scalar_t><<<B, threads_per_block, (32 + P) * sizeof(scalar_t)>>>(\n log_w.data_ptr<scalar_t>(),\n pred.data_ptr<scalar_t>(),\n resampled.data_ptr<scalar_t>(),\n u_offsets.data_ptr<scalar_t>(),\n B, P, D);\n }));\n \n auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);\n \n return std::make_tuple(resampled, uniform_log_w);\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(\n torch::Tensor log_w,\n torch::Tensor pred,\n torch::Tensor u_offsets,\n int num_particles,\n int state_dim);\n\"\"\"\n\nparticle_filter_module = load_inline(\n name=\"particle_filter_module_v6\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"particle_filter_resample_cuda\"],\n verbose=True,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, state_dim, obs_dim, num_particles):\n super().__init__()\n self.state_dim = state_dim\n self.obs_dim = obs_dim\n self.num_particles = num_particles\n self.register_buffer(\"A\", 0.9 * torch.eye(state_dim))\n self.register_buffer(\"C\", torch.randn(obs_dim, state_dim) * 0.5)\n self.process_noise = 0.1\n self.obs_noise = 0.5\n\n def forward(self, particles, log_weights, observation):\n B, P, D = particles.shape\n \n # Predict: propagate through dynamics (same as reference)\n pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)\n \n # Weight: compute log p(y_t | x_t)\n obs_pred = pred @ self.C.t()\n diff = observation.unsqueeze(1) - obs_pred\n log_lik = -0.5 * (diff ** 2).sum(-1) / (self.obs_noise ** 2)\n new_log_w = log_weights + log_lik\n \n # Generate u_offsets for resampling (using PyTorch RNG for correctness)\n u_offsets = torch.rand(B, 1, device=particles.device, dtype=particles.dtype)\n \n # CUDA kernel for normalize + cumsum + resample\n resampled, uniform_log_w = particle_filter_module.particle_filter_resample_cuda(\n new_log_w, pred, u_offsets.squeeze(1), self.num_particles, self.state_dim\n )\n \n return resampled, uniform_log_w" }
result ← submit_kernel (fail)
failsubmit_kernel submit_kernel FAILED: correctness check did not pass ((2 / 5) trials). correctness_issue: Output mismatch max_difference: ['0.902105', '1.845045', '2.221871'] avg_difference: ['0.000034', '0.000104', '0.000092']
final submitted kernel (194 lines, 6,038 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
import math

cuda_source = """
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>

// Combined kernel: normalize, cumsum, resample - one block per batch
template <typename scalar_t>
__global__ void particle_filter_resample_kernel(
    scalar_t* __restrict__ log_w,
    const scalar_t* __restrict__ pred,
    scalar_t* __restrict__ resampled,
    const scalar_t* __restrict__ u_offsets,
    int B, int P, int D) {
    
    int b = blockIdx.x;
    if (b >= B) return;
    
    extern __shared__ char smem_ptr[];
    scalar_t* smem = reinterpret_cast<scalar_t*>(smem_ptr);
    scalar_t* cumsum = smem + 32;
    
    int tid = threadIdx.x;
    int p = tid;
    
    // === Normalize (logsumexp) ===
    scalar_t my_val = (p < P) ? log_w[b * P + p] : -INFINITY;
    
    // Warp reduce for max
    for (int offset = 16; offset > 0; offset >>= 1) {
        my_val = max(my_val, __shfl_xor_sync(0xffffffff, my_val, offset));
    }
    
    int lane_id = tid % 32;
    int warp_id = tid / 32;
    int num_warps = (blockDim.x + 31) / 32;
    
    if (lane_id == 0) smem[warp_id] = my_val;
    __syncthreads();
    
    if (warp_id == 0) {
        scalar_t val = (tid < num_warps) ? smem[tid] : -INFINITY;
        for (int offset = 16; offset > 0; offset >>= 1) {
            val = max(val, __shfl_xor_sync(0xffffffff, val, offset));
        }
        if (tid == 0) smem[0] = val;
    }
    __syncthreads();
    
    scalar_t max_log_w = smem[0];
    __syncthreads();
    
    // Compute sum of exp
    scalar_t my_exp = (p < P) ? exp(log_w[b * P + p] - max_log_w) : 0;
    for (int offset = 16; offset > 0; offset >>= 1) {
        my_exp += __shfl_xor_sync(0xffffffff, my_exp, offset);
    }
    
    if (lane_id == 0) smem[warp_id] = my_exp;
    __syncthreads();
    
    if (warp_id == 0) {
        scalar_t val = (tid < num_warps) ? smem[tid] : 0;
        for (int offset = 16; offset > 0; offset >>= 1) {
            val += __shfl_xor_sync(0xffffffff, val, offset);
        }
        if (tid == 0) smem[0] = val;
    }
    __syncthreads();
    
    scalar_t sum_exp = smem[0];
    scalar_t log_sum = max_log_w + log(sum_exp + 1e-30);
    
    // Normalize and compute weight
    scalar_t weight = (p < P) ? exp(log_w[b * P + p] - log_sum) : 0;
    
    // === Cumulative sum ===
    cumsum[p] = weight;
    __syncthreads();
    
    // Parallel prefix sum
    for (int offset = 1; offset < P; offset *= 2) {
        scalar_t val = 0;
        if (p >= offset) val = cumsum[p - offset];
        __syncthreads();
        if (p >= offset) cumsum[p] += val;
        __syncthreads();
    }
    
    // === Resample with searchsorted semantics ===
    scalar_t u = (scalar_t(p) + u_offsets[b]) / scalar_t(P);
    
    // Binary search matching torch.searchsorted rightmost behavior
    int lo = 0, hi = P;
    while (lo < hi) {
        int mid = (lo + hi) / 2;
        if (cumsum[mid] <= u) {
            lo = mid + 1;
        } else {
            hi = mid;
        }
    }
    int idx = min(lo, P - 1);
    
    for (int d = 0; d < D; d++) {
        resampled[b * P * D + p * D + d] = pred[b * P * D + idx * D + d];
    }
}

std::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(
    torch::Tensor log_w,
    torch::Tensor pred,
    torch::Tensor u_offsets,
    int num_particles,
    int state_dim) {
    
    int B = log_w.size(0);
    int P = num_particles;
    int D = state_dim;
    
    auto options = log_w.options();
    auto resampled = torch::empty({B, P, D}, options);
    
    int threads_per_block = 1024;  // Use 1024 threads for P=1024
    
    AT_DISPATCH_FLOATING_TYPES(log_w.scalar_type(), "particle_filter_resample_kernel", ([&] {
        particle_filter_resample_kernel<scalar_t><<<B, threads_per_block, (32 + P) * sizeof(scalar_t)>>>(
            log_w.data_ptr<scalar_t>(),
            pred.data_ptr<scalar_t>(),
            resampled.data_ptr<scalar_t>(),
            u_offsets.data_ptr<scalar_t>(),
            B, P, D);
    }));
    
    auto uniform_log_w = torch::full({B, P}, -std::log(double(P)), options);
    
    return std::make_tuple(resampled, uniform_log_w);
}
"""

cpp_source = """
std::tuple<torch::Tensor, torch::Tensor> particle_filter_resample_cuda(
    torch::Tensor log_w,
    torch::Tensor pred,
    torch::Tensor u_offsets,
    int num_particles,
    int state_dim);
"""

particle_filter_module = load_inline(
    name="particle_filter_module_v6",
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=["particle_filter_resample_cuda"],
    verbose=True,
)


class ModelNew(nn.Module):
    def __init__(self, state_dim, obs_dim, num_particles):
        super().__init__()
        self.state_dim = state_dim
        self.obs_dim = obs_dim
        self.num_particles = num_particles
        self.register_buffer("A", 0.9 * torch.eye(state_dim))
        self.register_buffer("C", torch.randn(obs_dim, state_dim) * 0.5)
        self.process_noise = 0.1
        self.obs_noise = 0.5

    def forward(self, particles, log_weights, observation):
        B, P, D = particles.shape
        
        # Predict: propagate through dynamics (same as reference)
        pred = (particles @ self.A.t()) + self.process_noise * torch.randn_like(particles)
        
        # Weight: compute log p(y_t | x_t)
        obs_pred = pred @ self.C.t()
        diff = observation.unsqueeze(1) - obs_pred
        log_lik = -0.5 * (diff ** 2).sum(-1) / (self.obs_noise ** 2)
        new_log_w = log_weights + log_lik
        
        # Generate u_offsets for resampling (using PyTorch RNG for correctness)
        u_offsets = torch.rand(B, 1, device=particles.device, dtype=particles.dtype)
        
        # CUDA kernel for normalize + cumsum + resample
        resampled, uniform_log_w = particle_filter_module.particle_filter_resample_cuda(
            new_log_w, pred, u_offsets.squeeze(1), self.num_particles, self.state_dim
        )
        
        return resampled, uniform_log_w