import math from time import time import pycuda.autoinit import pycuda.driver as drv import numpy as np from pycuda import gpuarray from pycuda.compiler import SourceModule from optparse import OptionParser ker = SourceModule(""" __global__ void check_prime(unsigned long long *input, bool *output) { int i = threadIdx.x + blockDim.x * blockIdx.x; unsigned long long num = input[i]; if (num == 2) { output[i] = true; return; } else if (num < 3 || num % 2 == 0) { return; } unsigned long long limit = (long) sqrt((double) num) + 1; for (unsigned long long i = 3; i <= limit; i += 2) { if (num % i == 0) { return; } } output[i] = true; } """) ker2 = SourceModule(""" __global__ void check_prime2(const unsigned long long *IN, bool *OUT) { int id = threadIdx.x + blockDim.x * blockIdx.x; unsigned long long num = IN[id]; unsigned long long limit = (unsigned long long) sqrt((double) num) + 1; if (num == 2 || num == 3) { OUT[id] = true; return; } else if (num == 1 || num % 2 == 0) { return; } if (limit < 9) { for (unsigned long long i = 3; i <= limit; i++) { if (num % i == 0) { return; } } } else { if (num > 3 && num % 3 == 0) { return; } for (unsigned long long i = 9; i <= (limit + 6); i += 6) { if (num % (i - 2) == 0 || num % (i - 4) == 0) { return; } } } OUT[id] = true; } """) def calc_primes(start: int = 1, grid_size: int = 1000, block_size: int = 1024): check_prime = ker2.get_function("check_prime2") primes = [] if start < 2: primes = [2] start = 3 if start % 2 == 0: start = start + 1 startEvent = drv.Event() endEvent = drv.Event() testvec = np.arange(start, block_size * grid_size * 2 + start, step=2).astype(np.ulonglong) testvec_gpu = gpuarray.to_gpu(testvec) outvec_gpu = gpuarray.to_gpu(np.full(block_size * grid_size, False, dtype=bool)) startEvent.record() check_prime(testvec_gpu, outvec_gpu, block=(block_size, 1, 1), grid=(grid_size, 1, 1)) endEvent.record() endEvent.synchronize() kernel_execution_time = startEvent.time_till(endEvent) result = outvec_gpu.get() for idx, val in enumerate(result): if val: primes.append(testvec[idx]) print('checked ' + str(block_size * grid_size) + ' numbers' + ' (' + str(start) + ' - ' + str( start + block_size * grid_size) + ')') print('last prime: ' + str(primes[-1])) print('The GPU needed ' + str(kernel_execution_time) + ' milliseconds') with open(options.timings_output, 'a') as file: file.write(str(start) + "," + str(kernel_execution_time) + "," + str((block_size * grid_size)/(kernel_execution_time/1000)) + "\n") return primes if __name__ == "__main__": parser = OptionParser() parser.add_option("-e", "--end", dest="end", help="numbers to check without even numbers", default="50000000", type="int") parser.add_option("--numbers-per-step", dest="numbers_per_step", help="amount of uneven numbers checked in each step (even number are skipped)", default="8000000", type="int") parser.add_option("--block_size", dest="block_size", help="number of threads per block, max = 1024", default="1024", type="int") parser.add_option("--grid_size", dest="grid_size", help="number of blocks in the grid", type="int") parser.add_option("--output", dest="output", help="name of the file, where the primes should be stored", default="primes.txt", type="string") parser.add_option("--timings-output", dest="timings_output", help="name of the csv file, where the timing is logged as csv", default="timings.csv", type="string") parser.add_option("--save-primes", dest="save_primes", help="whether the calculated primes should be saved in a txt file", default=False) (options, args) = parser.parse_args() block_size = options.block_size start = 1 grid_size = int(math.ceil(options.numbers_per_step / block_size)) resulting_numbers_per_step = block_size * grid_size last_number_checked = start - 1 with open(options.timings_output, 'w') as file: file.write("offset,duration,numbers_per_second\n") if options.save_primes: with open(options.output, 'w') as file: file.write("") while last_number_checked < options.end: calculated_primes = calc_primes(last_number_checked + 1, grid_size, block_size) if options.save_primes: with open(options.output, 'a') as file: file.write("\n".join([str(p) for p in calculated_primes])) last_number_checked = last_number_checked + resulting_numbers_per_step * 2