HdrHistogram footprint

README.MD

The Gist visualizes the memory footprint for HdrHistogram as calculated from the formula given on their GitHub page.

First graph is when the time is represented in MICROSECONDS. Second graph is when the time is represented in MILLISECONDS.

footprint.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "footprint <- function(high, sig) {\n",
    "    bucket.size = 2 ^ (1 + ceiling(log(10, 10)/log(2, 10) * sig))\n",
    "    int.size = 4\n",
    "    (int.size/2)*(2 + ceiling(log2(high/bucket.size)))*bucket.size\n",
    "}\n",
    "s2us <- function(sec) 1000 * 1000 * sec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "library(data.table)\n",
    "dt <- data.table(high=rep(1:3600, each=3), dig=2:4)[, mem.bytes:=.(footprint(s2us(high),dig))][mem.bytes > 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in file(con, \"rb\"): cannot open the connection\n",
     "output_type": "error",
     "traceback": [
      "Error in file(con, \"rb\"): cannot open the connection\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(ggplot2)\n",
    "library(ggthemes)\n",
    "library(RColorBrewer)\n",
    "ggplot(dt, aes(x=high, y=(mem.bytes)/1024, col=factor(dig))) + \n",
    "    geom_line() + \n",
    "    labs(col=\"Resolution (digits)\", x=\"Max value (seconds)\", y=\"Memory (KB)\") +\n",
    "    scale_color_manual(values=rev(brewer.pal(n=length(unique(factor(dt$dig))), \"RdYlGn\"))) + \n",
    "    scale_y_log10() +\n",
    "    theme_hc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in file(con, \"rb\"): cannot open the connection\n",
     "output_type": "error",
     "traceback": [
      "Error in file(con, \"rb\"): cannot open the connection\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s2ms <- function(sec) 1000 * sec\n",
    "library(data.table)\n",
    "dt.ms <- data.table(high=rep(1:3600, each=3), dig=2:4)[, mem.bytes:=.(footprint(s2ms(high),dig))][mem.bytes > 0]\n",
    "ggplot(dt.ms, aes(x=high, y=(mem.bytes)/1024, col=factor(dig))) + \n",
    "    geom_line() + \n",
    "    labs(col=\"Resolution (digits)\", x=\"Max value (seconds)\", y=\"Memory (KB)\") +\n",
    "    scale_color_manual(values=rev(brewer.pal(n=length(unique(factor(dt.ms$dig))), \"RdYlGn\"))) + \n",
    "    scale_y_log10() +\n",
    "    theme_hc()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.2.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}