|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": 5, |
| 6 | + "id": "f9658e34-04f9-439c-a54b-f9b17a4730e1", |
| 7 | + "metadata": {}, |
| 8 | + "outputs": [], |
| 9 | + "source": [ |
| 10 | + "import gmpy2\n", |
| 11 | + "import numba\n", |
| 12 | + "import time" |
| 13 | + ] |
| 14 | + }, |
| 15 | + { |
| 16 | + "cell_type": "code", |
| 17 | + "execution_count": 6, |
| 18 | + "id": "5fec4995-b398-41e2-a267-3ce325c71ada", |
| 19 | + "metadata": {}, |
| 20 | + "outputs": [], |
| 21 | + "source": [ |
| 22 | + "rng = gmpy2.random_state(int(time.time()))" |
| 23 | + ] |
| 24 | + }, |
| 25 | + { |
| 26 | + "cell_type": "code", |
| 27 | + "execution_count": 25, |
| 28 | + "id": "bc392285-2d91-4553-b30c-8bb8f784330c", |
| 29 | + "metadata": {}, |
| 30 | + "outputs": [], |
| 31 | + "source": [ |
| 32 | + "def rand_prime(rng: gmpy2.mpz, a: int) -> gmpy2.mpz:\n", |
| 33 | + " while True:\n", |
| 34 | + " x = gmpy2.mpz_urandomb(rng, a - 1)\n", |
| 35 | + " x = x.bit_set(0)\n", |
| 36 | + " x = x.bit_set(a - 1)\n", |
| 37 | + " if x.is_prime(50):\n", |
| 38 | + " x -= 1\n", |
| 39 | + " if x.is_divisible(65537):\n", |
| 40 | + " continue\n", |
| 41 | + " x += 1\n", |
| 42 | + " return x\n", |
| 43 | + " break" |
| 44 | + ] |
| 45 | + }, |
| 46 | + { |
| 47 | + "cell_type": "code", |
| 48 | + "execution_count": 29, |
| 49 | + "id": "a513076a-e856-4fc3-9469-52644ed90e94", |
| 50 | + "metadata": {}, |
| 51 | + "outputs": [], |
| 52 | + "source": [ |
| 53 | + "@numba.jit(forceobj=True)\n", |
| 54 | + "def rand_prime_numba(x: gmpy2.mpz, a: int) -> gmpy2.mpz:\n", |
| 55 | + " while True:\n", |
| 56 | + " # x = gmpy2.mpz_urandomb(self.rng, a - 1)\n", |
| 57 | + " x = x.bit_set(0)\n", |
| 58 | + " x = x.bit_set(a - 1)\n", |
| 59 | + " if x.is_prime(50):\n", |
| 60 | + " x -= 1\n", |
| 61 | + " if x.is_divisible(65537):\n", |
| 62 | + " continue\n", |
| 63 | + " x += 1\n", |
| 64 | + " return x\n", |
| 65 | + " break" |
| 66 | + ] |
| 67 | + }, |
| 68 | + { |
| 69 | + "cell_type": "code", |
| 70 | + "execution_count": 27, |
| 71 | + "id": "7e8aab78-7c4e-4ef7-a7b8-0be2869acb33", |
| 72 | + "metadata": {}, |
| 73 | + "outputs": [ |
| 74 | + { |
| 75 | + "name": "stdout", |
| 76 | + "output_type": "stream", |
| 77 | + "text": [ |
| 78 | + "5.12 ms ± 106 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" |
| 79 | + ] |
| 80 | + } |
| 81 | + ], |
| 82 | + "source": [ |
| 83 | + "%%timeit\n", |
| 84 | + "for i in range(2, 128 + 1):\n", |
| 85 | + " rand_prime(rng, i)" |
| 86 | + ] |
| 87 | + }, |
| 88 | + { |
| 89 | + "cell_type": "code", |
| 90 | + "execution_count": null, |
| 91 | + "id": "51e89e7d-c3e8-4ae4-b8c6-73d79c40e9e4", |
| 92 | + "metadata": {}, |
| 93 | + "outputs": [], |
| 94 | + "source": [ |
| 95 | + "%%timeit\n", |
| 96 | + "for i in range(2, 128 + 1):\n", |
| 97 | + " x = gmpy2.mpz_urandomb(rng, i - 1)\n", |
| 98 | + " rand_prime_numba(x, i)" |
| 99 | + ] |
| 100 | + }, |
| 101 | + { |
| 102 | + "cell_type": "code", |
| 103 | + "execution_count": null, |
| 104 | + "id": "e92ef786-8594-4f07-a13c-adc573dc2fb0", |
| 105 | + "metadata": {}, |
| 106 | + "outputs": [], |
| 107 | + "source": [] |
| 108 | + } |
| 109 | + ], |
| 110 | + "metadata": { |
| 111 | + "kernelspec": { |
| 112 | + "display_name": "Python 3 (ipykernel)", |
| 113 | + "language": "python", |
| 114 | + "name": "python3" |
| 115 | + }, |
| 116 | + "language_info": { |
| 117 | + "codemirror_mode": { |
| 118 | + "name": "ipython", |
| 119 | + "version": 3 |
| 120 | + }, |
| 121 | + "file_extension": ".py", |
| 122 | + "mimetype": "text/x-python", |
| 123 | + "name": "python", |
| 124 | + "nbconvert_exporter": "python", |
| 125 | + "pygments_lexer": "ipython3", |
| 126 | + "version": "3.12.3" |
| 127 | + } |
| 128 | + }, |
| 129 | + "nbformat": 4, |
| 130 | + "nbformat_minor": 5 |
| 131 | +} |
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