{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div align=\"right\"><i>Peter Norvig, 23 Oct, 2017</i></div>\n",
    "\n",
    "# Bike Speed versus Grade\n",
    "\n",
    "Like most people, I bike slower when I'm going up a steep hill than on a flat road. But how much slower?\n",
    "To answer that, I downloaded all my recorded past rides longer than 20 miles as ([bikerides20.txt](bikerides20.txt)). (I started recording using \n",
    "[Strava](https://www.strava.com/athletes/575579) in mid-2013, but didn't use it across all rides until 2015). Here I parse the file:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from collections import namedtuple\n",
    "\n",
    "line = 'Ride\tThu, 8/9/2018\tBRNW\t4:58:07\t68.41 mi\t3,862 ft\t' # Sample line\n",
    "\n",
    "Ride = namedtuple('Ride', 'miles, feet, kind, date, title, hours')\n",
    "\n",
    "def parse_ride(line) -> Ride:\n",
    "    \"Parse a line from a Strava datafile into a `Ride`.\"\n",
    "    kind, date, title, time, mi, ft = line.strip().split('\\t')\n",
    "    times = [int(t) for t in reversed(time.split(':'))]\n",
    "    miles = float(mi.split()[0])\n",
    "    feet  = int(ft.split()[0].replace(',', ''))\n",
    "    return Ride(miles, feet, kind, date, title, hours(*times))\n",
    "\n",
    "def hours(sec, min, hour=0): return sec / 3600 + min / 60 + hour\n",
    "\n",
    "all_rides = {parse_ride(line) for line in open('bikerides20.txt')}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I'm interested in my \"serious\" rides, so I'll focus on `rides` that are at least a marathon (26 miles) in length, and for those rides collect three vectors of numbers: miles per hour, feet climbed per mile, and total miles:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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USeqETXql2S4hTAfJJKotwu58dYcXvK/bySH4nddvTmpRKkWGB/3HAhIzFHWS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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1037d2c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rides = [r for r in all_rides if r.miles > 26]\n",
    "mph = [r.miles / r.hours for r in rides]\n",
    "fpm = [r.feet / r.miles for r in rides]\n",
    "mls = [r.miles for r in rides]\n",
    "\n",
    "plt.scatter(fpm, mph);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, there is a lot of variance, but overall speeds get slower as the grade gets steeper. Just eyeballing it, it looks like a curve would be a better fit than a straight line, so I'll fit a quadratic (degree two) polynomial to the data, and make the plot prettier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gVLDQUmXfGSIiIlJG0o2kEKlBKi0vO+ChMfMXERERhYNBSoxZbM6USWObbMTS8rIDHhoz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cfa0780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def poly(X, Y, n):\n",
    "    \"Best-fit degree-n polynomial for X, Y data.\"\n",
    "    C = np.polyfit(X, Y, n)[::-1] # Array of coefficients, reversed\n",
    "    return lambda x: sum(C[i] * x ** i for i in range(n + 1))  \n",
    "\n",
    "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)', fit=True): \n",
    "    plt.rcParams[\"figure.figsize\"] = (12, 10)\n",
    "    plt.style.use('fivethirtyeight')\n",
    "    plt.scatter(X, Y)\n",
    "    X1 = list(range(int(min(X)), int(max(X)) + 5))\n",
    "    plt.ylabel(ylabel); plt.xlabel(xlabel)\n",
    "    plt.minorticks_on()\n",
    "    plt.grid(True, which='major')\n",
    "    plt.grid(True, which='minor', alpha=0.4)\n",
    "    if fit: \n",
    "        F = poly(X, Y, 2)\n",
    "        plt.plot(X1, [F(x) for x in X1], 'k-')\n",
    "    \n",
    "show(fpm, mph)     "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, I average a little under 14 mph when the overall route is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from around 40 or 50 ft/mile, speed falls off quickly, and by 140 ft/mile, I'm down near 8 mph. Note that 140 ft/mile is only 2.7% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 8% grade on the up part.\n",
    "\n",
    "# Estimating Duration\n",
    "\n",
    "For a route with a given distance and elevation, how long will it take to ride it?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def duration(dist, climb, F=poly(fpm, mph, 2)):\n",
    "    \"Given a distance in miles and total climb in feet, return estimated time in minutes.\"\n",
    "    return 60 * dist / F(climb / dist)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, to get to  Pescadero from La Honda, I could take the flatter [coast route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.4039496!2d37.3116594!3s0x808f062b7d7585e7:0x942480c22f110b74!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1), or the shorter [creek route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.3658887!2d37.2538867!3s0x808f00acf265bd43:0xb7e2a0c9ee355c3a!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1); which is faster?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(68.914878773787706, 62.368854685107713)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "duration(15.7, 344), duration(13.5, 735)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This suggests the coast route takes 7 or 8 minutes longer. Good to know, but other factors (like the scenery) are probably more important in making the choice.\n",
    "\n",
    "# Eddington Number\n",
    "\n",
    "> *Your [Eddington Number](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the largest integer **e** for which you have bicycled **e** or more miles on **e** different days.*\n",
    "\n",
    "Let's calculate mine, and see how many rides I need to take to improve it. I'm pretty sure I've done at least 50 rides of 50 miles, so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "52"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def eddington(distances):\n",
    "    return max(e for e, d in enumerate(sorted(distances, reverse=True), 1) if d >= e)\n",
    "\n",
    "eddington(mls)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So **my Eddington Number is 52**: I've done 52 rides of 52 miles or more. Let's see a plot of how far I have to go to improve this number:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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L/v6QJk2CpNfDMmoUIPJKEXI/DilEREREjY0sQ/3ttxDLH7R47ZrjcJUKltGj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+bDitpwjFGjRmn//v366quvJEknT55UXl6eJk2aJKntfW+43JmUjRs3qqCgQFlZWfXunzhxombM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\nMBSaFAAAAACGQpMCAAAAwFD+DzNwhVPgqwaZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cf8b940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def edplot(distances, X):\n",
    "    M = [min(X), max(X)]\n",
    "    plt.plot(M, M, 'r-')\n",
    "    plt.title('Eddington Number = {}'.format(eddington(distances)))\n",
    "    show(X, [sum(d > x for d in distances) for x in X], fit=False,\n",
    "         xlabel='Ride Distance', ylabel='Number of Rides longer than distance')\n",
    "    \n",
    "edplot(mls, range(46, 81))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here the gap between the straight line and the dotted line is my Eddington gap: the lines cross at 52 so that's my Eddington Number; at 60 miles the gap is 28, so I nneed 28 60+ mile rides to get an Eddington number of 60.\n",
    "\n",
    "# Metric Eddington Number\n",
    "\n",
    "[Arthur Eddington](https://en.wikipedia.org/wiki/Arthur_Eddington) was born in 19th century England, so he used miles. You can get a bigger number using kilometers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3U5eXXnoJK1aswJUrV2o8/qc//Qn+/v745z//ia+++grBwcHQaDSYM2eOWwPl48aNw9Sp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\ndPToUbVu3VozZsxQz549y37vlClTtHDhQhUWFqpbt26aPn2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3ie5ef0T3fBmlu9cfUa67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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1038734a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "edplot([m * 1.60934 for m in mls], range(70, 101))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "My metric Eddington Number is 74, and I only need 13 rides of 80 km (50 miles) to get to 80.\n",
    "\n",
    "# H-Index\n",
    "\n",
    "Inspired by the [h-index](https://en.wikipedia.org/wiki/H-index) for scientific publications (and indirectly by Eddington), I invented a new h-index, or hill-index:\n",
    "\n",
    "> *Your **h-index** is the largest integer **h** for which you can persistently and repeatedly climb an **h** percent grade at **h** miles per hour.*\n",
    "\n",
    "My h-index is 6, because I regularly climb a 6% grade at 6 miles per hour or more, but I only occasionally climb a 7% grade at 7 mph. What's yours?"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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    "name": "ipython",
    "version": 3
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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