I'm studying the spread of an invasive species and am trying to generate random numbers within a PyCUDA kernel using the XORWOW random number generator. The matrices I need to be able to use as input in the study are quite large (up to 8,000 x 8,000).
The error seems to occur inside get_random_number
when indexing the curandState*
of the XORWOW generator. The code executes without errors on smaller matrices and produces correct results. I'm running my code on 2 NVidia Tesla K20X GPUs.
Kernel code and setup:
kernel_code = '''
#include <curand_kernel.h>
#include <math.h>
extern "C" {
__device__ float get_random_number(curandState* global_state, int thread_id) {
curandState local_state = global_state[thread_id];
float num = curand_uniform(&local_state);
global_state[thread_id] = local_state;
return num;
}
__global__ void survival_of_the_fittest(float* grid_a, float* grid_b, curandState* global_state, int grid_size, float* survival_probabilities) {
int x = threadIdx.x + blockIdx.x * blockDim.x; // column index of cell
int y = threadIdx.y + blockIdx.y * blockDim.y; // row index of cell
// make sure this cell is within bounds of grid
if (x < grid_size && y < grid_size) {
int thread_id = y * grid_size + x; // thread index
grid_b[thread_id] = grid_a[thread_id]; // copy current cell
float num;
// ignore cell if it is not already populated
if (grid_a[thread_id] > 0.0) {
num = get_random_number(global_state, thread_id);
// agents in this cell die
if (num < survival_probabilities[thread_id]) {
grid_b[thread_id] = 0.0; // cell dies
//printf("Cell (%d,%d) died (probability of death was %f)\\n", x, y, survival_probabilities[thread_id]);
}
}
}
}
mod = SourceModule(kernel_code, no_extern_c = True)
survival = mod.get_function('survival_of_the_fittest')
Data setup:
matrix_size = 2000
block_dims = 32
grid_dims = (matrix_size + block_dims - 1) // block_dims
grid_a = gpuarray.to_gpu(np.ones((matrix_size,matrix_size)).astype(np.float32))
grid_b = gpuarray.to_gpu(np.zeros((matrix_size,matrix_size)).astype(np.float32))
generator = curandom.XORWOWRandomNumberGenerator()
grid_size = np.int32(matrix_size)
survival_probabilities = gpuarray.to_gpu(np.random.uniform(0,1,(matrix_size,matrix_size)))
Kernel call:
survival(grid_a, grid_b, generator.state, grid_size, survival_probabilities,
grid = (grid_dims, grid_dims), block = (block_dims, block_dims, 1))
I expect to be able to generate random numbers within the range (0,1] for matrices up to (8,000 x 8,000), but executing my code on large matrices leads to an illegal memory access error.
pycuda._driver.LogicError: cuMemcpyDtoH failed: an illegal memory access was encountered
PyCUDA WARNING: a clean-up operation failed (dead context maybe?)
cuMemFree failed: an illegal memory access was encountered
Am I indexing the curandState*
incorrectly in get_random_number
? And if not, what else might be causing this error?