discv5-notebook/notebook.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from __future__ import print_function\n",
"from math import *\n",
"from ipywidgets import interact, interactive, fixed, interact_manual\n",
"import ipywidgets as widgets\n",
"\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import math\n",
"import random\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# simple Variables for reuse\n",
"\n",
"find_node_packet = 72\n",
"nodes_packet = 2762 # given that the peer returns 16 nodes.\n",
"distance_segments = 256 # distance segments: resolution of distance metric\n",
"k = 16 # Kademlia K variable (peers per bucket)\n",
"max_peers = distance_segments * k\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Peer Changing Algorithm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This calculation is a rough estimation of how a nodes routing tables evolve. It takes into consideration that nodes are likely receive nodes to `FINDNODE` requests that they are already familiar with."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Returns the number of nodes after a node lookup round as a function of current nodes\n",
"def calc_node_change(current_nodes):\n",
" if current_nodes < k:\n",
" return k\n",
" else:\n",
" filled_buckets = current_nodes // k\n",
" empty_buckets = distance_segments - filled_buckets\n",
" factor = random.randint(1, empty_buckets + 1)\n",
" return int(current_nodes + k*factor)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.arange(1,max_peers,10)\n",
"y = [calc_node_change(val) for val in x]\n",
"plt.figure(figsize=[10,10])\n",
"\n",
"plt.plot(x,y)\n",
"plt.xlabel('current nodes')\n",
"plt.ylabel('new number of nodes')\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bandwidth for simple lookups\n",
"\n",
"This section shows us the amount of inbound and outbound bandwidth consumption used by discv5 when looking for a specific node. It uses `log2(n)` as that is the amount of Nodes needed to contact for finding a Node in Kademlia, where `n` is the amount of nodes in the network itself."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "345b1b0a0981467bad4d73a04bf421ae",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=100, description='Nodes:', max=10000, min=2), Output()), _dom_classes=('…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<function __main__.calculate_bandwidth(nodes)>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def calculate_bandwidth(nodes):\n",
" num_roundtrips = ceil(log10(nodes)) # This is the theoretical efficiency\n",
"\n",
" outbound = find_node_packet * num_roundtrips\n",
" inbound = nodes_packet * num_roundtrips\n",
"\n",
" print(\"B per lookup (outbound): % 2d\" %(outbound))\n",
" print(\"B per lookup (inbound): % 2d\" %(inbound))\n",
" print(\"B per lookup (total): % 2d\" %(outbound + inbound))\n",
"\n",
"interact(calculate_bandwidth, nodes=widgets.IntSlider(min=2, max=10000, step=1, value=100, description='Nodes:'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*These numbers can be slightly misleading as we do not round.*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bandwidth for a discv5 node over a given period\n",
"\n",
"This section shows how much bandwidth (roughly) a discv5 node consumes when running the protocol. This calculation is limited to `FINDNODE` & `NODE` requests, it currently does not account for `PING`s, `PONG`s or handshakes.\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d4858161e87046a58df8e724b99117f4",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=1, description='Peers:', max=10000, min=1), IntSlider(value=60, descript…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<function __main__.calc_discv5_band(num_peers, req_freq, time_period)>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"## variables\n",
"\n",
"# Make the intervals configurable, so that it doesn't have to be every 60 seconds aka (1440) like right now.\n",
"# req_freq is in seconds\n",
"# time_period is in hours\n",
"\n",
"def calc_discv5_band(num_peers, req_freq, time_period):\n",
" node_num_reqs_per_period = int(time_period*3600 / req_freq) # req/time_period\n",
"\n",
" out_band_per_node_per_period = (num_peers * node_num_reqs_per_period) * (find_node_packet)\n",
" in_band_per_node_per_period = (num_peers * node_num_reqs_per_period) * (nodes_packet)\n",
" tot_band_per_node_per_period = (num_peers * node_num_reqs_per_period) * (find_node_packet + nodes_packet)\n",
"\n",
" print(\"KB per period per node (outbound): {:,}\".format(out_band_per_node_per_period / 1000))\n",
" print(\"KB per period per node (inbound): {:,}\".format(in_band_per_node_per_period / 1000))\n",
" print(\"KB per period per node (total): {:,}\".format(tot_band_per_node_per_period / 1000))\n",
"\n",
"interact(\n",
" calc_discv5_band,\n",
" num_peers=widgets.IntSlider(min=1, max=10000, step=1, value=1, description='Peers:'),\n",
" req_freq=widgets.IntSlider(min=30, max=600, step=1, value=60, description='Requests Frequency (s):'),\n",
" time_period=widgets.IntSlider(min=1, max=24, step=1, value=1, description='Duration (h):')\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Needle in a haystack with ENR records indicating capabilities\n",
"\n",
"To find a node with a specific capability that is encoded in its ENR, we can do the following back-of-the-envelope calculation. Assuming:\n",
"\n",
"1. We search for random node id\n",
"2. We get `k` results back in response to `FINDNODE`\n",
"3. We connect to 1 of those nodes that we haven't connected to before (e.g.)\n",
"4. Concentration of nodes with specific capability is `c`%\n",
"5. Node capability is evenly distributed among ids\n",
"\n",
"Let's further say we have `n` nodes active (N.B. this seems irrelevant). What does this mean for the probability to find a node with some capability once we have received `r` rounds of FINDNODE results?\n",
"\n",
"Assuming independent events where each event is probability that one specific ENR has our capability. By principle of inclusion and exclusion we have:\n",
"\n",
"`P(A u B u C) = 1 - P(!A ^ !B ^ !C)`\n",
"\n",
"Since `P(A ^ B) = 0`, etc. This trivially generalizes for more events, D, E, F.\n",
"\n",
"Thus we have:\n",
"\n",
"The probability of finding 1 node is..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Let's start with basic assumptions, k=16, c=0.1.*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Let's start with basic assumptions, k=16, c=0.1.*"
]
},
{
"cell_type": "code",
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"source": [
"P(A u ...[15 more times]) = 1 - P(!A ^ ...[15 more times]) = 1 - ((1-0.1))^16^"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.8146979811148158"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ((1-0.1)**16)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.7997229731425107"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - ((1-0.01)**160)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Thus we have that a concentration of 10% and 16 `FINDNODE` records gives us 80% chance of finding a node of a given capability after just one lookup. With 1% concentration, this requires 10 lookups.*"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "31853d30a51241b0a0d04b9f68c88d29",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=1000, description='bips:', max=10000, min=100, step=100), IntSlider(valu…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<function __main__.calc_needle_haystack(bips, k, lookups)>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def calc_needle_haystack(bips, k, lookups):\n",
" concentration = (bips/100)/100\n",
" print(\"Concentration:\", concentration)\n",
" probability = 1 - ((1 - concentration))**(k*lookups)\n",
" print(\"Probability to find needle:\", probability)\n",
"\n",
"interact(\n",
" calc_needle_haystack,\n",
" bips=widgets.IntSlider(min=100, max=10000, step=100, value=1000, description='bips:'),\n",
" k=widgets.IntSlider(min=1, max=40, step=1, value=16, description='k:'),\n",
" lookups=widgets.IntSlider(min=1, max=24, step=1, value=1, description='Lookups:')\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
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"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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