{ "cells": [ { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. _floor:\n", "\n", "Floor\n", "=====\n", "\n", "In this notebook we will generate uniformly random shared secrets, then we will use the *floor* operator to return secrets with the fractional parts removed. We reveal the operands and the results to demonstrate correctness.\n", "\n", "Note that we are initializing :any:`AdditiveProtocolSuite` with a custom field order (251) and a FixedPoint encoding with 4 fractional bits so that the random secrets are small and easy to read in the output.\n", "\n", "As with all operators in Cicada, *floor* applies element-wise to input arrays of any shape." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:****************************************\n", "INFO:root:Player 0 secret: 3.5\n", "INFO:root:Player 1 secret: 3.5\n", "INFO:root:Player 2 secret: 3.5\n", "INFO:root:Player 0 floor: 3.0\n", "INFO:root:Player 1 floor: 3.0\n", "INFO:root:Player 2 floor: 3.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -1.5\n", "INFO:root:Player 1 secret: -1.5\n", "INFO:root:Player 2 secret: -1.5\n", "INFO:root:Player 0 floor: -2.0\n", "INFO:root:Player 1 floor: -2.0\n", "INFO:root:Player 2 floor: -2.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -7.1875\n", "INFO:root:Player 1 secret: -7.1875\n", "INFO:root:Player 2 secret: -7.1875\n", "INFO:root:Player 0 floor: 7.6875\n", "INFO:root:Player 1 floor: 7.6875\n", "INFO:root:Player 2 floor: 7.6875\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -0.75\n", "INFO:root:Player 1 secret: -0.75\n", "INFO:root:Player 2 secret: -0.75\n", "INFO:root:Player 0 floor: -1.0\n", "INFO:root:Player 1 floor: -1.0\n", "INFO:root:Player 2 floor: -1.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: 2.375\n", "INFO:root:Player 1 secret: 2.375\n", "INFO:root:Player 2 secret: 2.375\n", "INFO:root:Player 0 floor: 2.0\n", "INFO:root:Player 1 floor: 2.0\n", "INFO:root:Player 2 floor: 2.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: 7.5625\n", "INFO:root:Player 1 secret: 7.5625\n", "INFO:root:Player 2 secret: 7.5625\n", "INFO:root:Player 0 floor: 7.0\n", "INFO:root:Player 1 floor: 7.0\n", "INFO:root:Player 2 floor: 7.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -4.75\n", "INFO:root:Player 1 secret: -4.75\n", "INFO:root:Player 2 secret: -4.75\n", "INFO:root:Player 0 floor: -5.0\n", "INFO:root:Player 1 floor: -5.0\n", "INFO:root:Player 2 floor: -5.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -0.3125\n", "INFO:root:Player 1 secret: -0.3125\n", "INFO:root:Player 2 secret: -0.3125\n", "INFO:root:Player 0 floor: -1.0\n", "INFO:root:Player 1 floor: -1.0\n", "INFO:root:Player 2 floor: -1.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -6.625\n", "INFO:root:Player 1 secret: -6.625\n", "INFO:root:Player 2 secret: -6.625\n", "INFO:root:Player 0 floor: -7.0\n", "INFO:root:Player 1 floor: -7.0\n", "INFO:root:Player 2 floor: -7.0\n", "INFO:root:****************************************\n", "INFO:root:Player 0 secret: -2.5625\n", "INFO:root:Player 1 secret: -2.5625\n", "INFO:root:Player 2 secret: -2.5625\n", "INFO:root:Player 0 floor: -3.0\n", "INFO:root:Player 1 floor: -3.0\n", "INFO:root:Player 2 floor: -3.0\n" ] } ], "source": [ "import logging\n", "import sys\n", "\n", "\n", "import numpy\n", "\n", "from cicada.additive import AdditiveProtocolSuite\n", "from cicada.communicator import SocketCommunicator\n", "from cicada.encoding import FixedPoint\n", "from cicada.logger import Logger\n", "\n", "logging.basicConfig(level=logging.INFO)\n", "\n", "def main(communicator):\n", " log = Logger(logging.getLogger(), communicator)\n", " protocol = AdditiveProtocolSuite(communicator, order=251, encoding=FixedPoint(precision=4))\n", " generator = numpy.random.default_rng(seed=1234)\n", "\n", " for i in range(10):\n", "\n", " log.info(\"*\" * 40, src=0)\n", " \n", " secret_share = protocol.field_uniform(generator=generator)\n", " secret = protocol.reveal(secret_share)\n", " log.info(f\"Player {communicator.rank} secret: {secret}\")\n", "\n", " floor_share = protocol.floor(secret_share)\n", " floor = protocol.reveal(floor_share)\n", " log.info(f\"Player {communicator.rank} floor: {floor}\")\n", "\n", "\n", "SocketCommunicator.run(world_size=3, fn=main);" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. seealso:: :ref:`absolute`" ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 4 }