diff --git a/analysis/PoR_Analysis.ipynb b/analysis/PoR_Analysis.ipynb index f797227..1acae2b 100644 --- a/analysis/PoR_Analysis.ipynb +++ b/analysis/PoR_Analysis.ipynb @@ -1,32 +1,75 @@ { - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "provenance": [] - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - }, - "language_info": { - "name": "python" - } - }, "cells": [ { "cell_type": "markdown", + "metadata": { + "id": "IAw0wWuN-1Yh" + }, "source": [ "# Verification frequency calculation\n", "\n", "This code shows how we can compute the minimum horizontal and vertical verification frequency in order to achieve a certain level of guarantee computed in number of nines (e.g., 99.9999999%)\n" - ], - "metadata": { - "id": "IAw0wWuN-1Yh" - } + ] }, { "cell_type": "code", + "execution_count": 1, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "Y_CIsSJz_Nek", + "outputId": "7a352dbc-9ee6-4c3b-db37-79600fe8b1b7" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "We need 14 horizontal verifications to have 99.900000000000% guarantee\n", + "We need 27 horizontal verifications to have 99.999900000000% guarantee\n", + "We need 40 horizontal verifications to have 99.999999900000% guarantee\n", + "For Cheat Ratio : 5\n", + "We need 13.5% vertical verifications to have 99.900000000000% guarantee\n", + "We need 27.0% vertical verifications to have 99.999900000000% guarantee\n", + "We need 40.5% vertical verifications to have 99.999999900000% guarantee\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import random as random\n", @@ -116,67 +159,13 @@ "ax.legend()\n", "plt.show()\n", "\n" - ], - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 1000 - }, - "id": "Y_CIsSJz_Nek", - "outputId": "7a352dbc-9ee6-4c3b-db37-79600fe8b1b7" - }, - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "We need 14 horizontal verifications to have 99.900000000000% guarantee\n", - "We need 27 horizontal verifications to have 99.999900000000% guarantee\n", - "We need 40 horizontal verifications to have 99.999999900000% guarantee\n", - "For Cheat Ratio : 5\n", - "We need 13.5% vertical verifications to have 99.900000000000% guarantee\n", - "We need 27.0% vertical verifications to have 99.999900000000% guarantee\n", - "We need 40.5% vertical verifications to have 99.999999900000% guarantee\n" - ] - }, - { - "output_type": "display_data", - "data": { - "text/plain": [ - "
" - ], - "image/png": 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\n" 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\n" - }, - "metadata": { - "needs_background": "light" - } - } ] }, { "cell_type": "markdown", + "metadata": { + "id": "7vid6VP3a_oM" + }, "source": [ "100 blocks\n", "cheat ratio is 50%\n", @@ -189,27 +178,24 @@ "3 blocks : 0.5*0.5*0.5\n", "\n", "n blocks : 0.5^n" - ], - "metadata": { - "id": "7vid6VP3a_oM" - } + ] }, { "cell_type": "markdown", + "metadata": { + "id": "Bw-GGBdX6tMm" + }, "source": [ "# PoR Analysis\n", "\n", "## Friendly toy scenario\n", "\n", "Feel free to play with these variables as much as you want in order to simulate any extreme scenario you find interesting to explore." - ], - "metadata": { - "id": "Bw-GGBdX6tMm" - } + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -220,8 +206,8 @@ }, "outputs": [ { - "output_type": "stream", "name": "stdout", + "output_type": "stream", "text": [ "\n", " *** Network Parameters *** \n", @@ -267,47 +253,47 @@ "\n", " *** PoR Storage and Time Requirements *** \n", "\n", - "The total storage required for PoR proofs is 1426162.7 MB to check a total of 11231.8TB of data each round\n", + "The total storage required for PoR proofs is 1426162.7 MB to check a total of 11231.8TB of data each round (0.012109%)\n", "To verify 40 EC blocks and 7.4% PoR blocks per file in the system:\n", - "Each node will spend 2114.4 minutes (35.2 hours) agregating PoR proofs\n", + "Each node will spend 21.1 minutes (0.4 hours) agregating PoR proofs\n", "It will take the system 40 hours (1.7 days) to accidentally lose M nodes\n", "Lazy repair should be triggered after 20 hours (0.8 days)\n", - "Assuming PoR verifications are done once per lazy repair round, PoR verification takes 176.2% of the time\n", + "Assuming PoR verifications are done once per lazy repair round, PoR verification takes 1.8% of the time\n", "There are 438.0 PoR verification rounds in a year accumulating 610018.8 GB of storage\n" ] }, { - "output_type": "display_data", "data": { + "image/png": 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", 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\n" 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", 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\n" + ] }, "metadata": { "needs_background": "light" - } + }, + "output_type": "display_data" } ], "source": [ @@ -515,5 +501,34 @@ "#print(storageVector)\n" ] } - ] -} \ No newline at end of file + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3.9.15 64-bit", + "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": "3.9.15" + }, + "vscode": { + "interpreter": { + "hash": "a665b5d41d17b532ea9890333293a1b812fa0b73c9c25c950b3cedf1bebd0438" + } + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}