From 624ee1496dc4abcee33bff3630a1c09c5ac501aa Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Wed, 10 Oct 2018 17:54:30 -0700 Subject: [PATCH] Add files via upload --- ipynb/Bike Speed versus Grade.ipynb | 280 ++++++++++++++++++++++------ 1 file changed, 228 insertions(+), 52 deletions(-) diff --git a/ipynb/Bike Speed versus Grade.ipynb b/ipynb/Bike Speed versus Grade.ipynb index bdb51ba..788fb00 100644 --- a/ipynb/Bike Speed versus Grade.ipynb +++ b/ipynb/Bike Speed versus Grade.ipynb @@ -4,51 +4,71 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "
Peter Norvig, 23 Oct, 2017
\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 data on my past rides \n", - "from [Strava](https://www.strava.com/athletes/575579) and manipulated the `data` to create two lists: \n", - "\n", - "- `X`: the *grade* of each ride, in feet of ascent per mile. \n", - "- `Y`: the *speed* of each (corresponding) ride, in miles per hour.\n", - "\n", - "I omit rides shorter than 30 miles, because on some short rides I was sprinting at an unsustainable speed, and on others I was slowed by city traffic. Here is the code to collect and plot the X:Y data:" + "To answer that, I downloaded all my recorded past rides \n", + "on [Strava](https://www.strava.com/athletes/575579) that are longer than 20 miles, out them into a text file `\"bikerides20.txt\"`, and wrote code to parse the file:" ] }, { "cell_type": "code", "execution_count": 1, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", - "import csv\n", + "from collections import namedtuple\n", "\n", - "def hours(sec): return float(sec) / 60 / 60\n", - "def feet(meters): return float(meters) * 100 / 2.54 / 12\n", - "def miles(meters): return feet(meters) / 5280\n", + "line = 'Ride\tThu, 8/9/2018\tBRNW\t4:58:07\t68.41 mi\t3,862 ft\t' # Sample line\n", "\n", - "# Read data file with three fields: distance (m), climb (m), elapsed time (sec)\n", - "X, Y = [], []\n", - "for (dist, climb, time) in csv.reader(open('dist-climb-time.csv')):\n", - " if miles(dist) > 30:\n", - " X.append(feet(climb) / miles(dist))\n", - " Y.append(miles(dist) / hours(time))" + "Ride = namedtuple('Ride', 'date, title, hours, miles, feet')\n", + "\n", + "def parse_ride(line) -> Ride:\n", + " \"Turn a line (such as `sample`) in a Strava datafile into a `Ride`.\"\n", + " _, date, title, time, mi, ft = line.strip().split('\\t')\n", + " times = map(int, time.split(':')[::-1])\n", + " miles = float(mi.split()[0])\n", + " feet = int(ft.split()[0].replace(',', ''))\n", + " return Ride(date, title, hours(*times), miles, feet)\n", + "\n", + "def hours(sec, min, hour=0): return hour + min / 60 + sec / 3600\n", + "\n", + "all_rides = {parse_ride(line) for line in open('bikerides20.txt')}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For some of the rides, the GPS was not recording elevation, so the feet field is 0. Let's eliminate those, and let's collect two vectors of numbers: one for miles per hour, and one for feet climbed per hour, and plot them:" ] }, { "cell_type": "code", "execution_count": 2, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Kept 583 out of 609 rides\n" + ] + }, { "data": { - "image/png": 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\n", 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k0gYuzqTxe79+Fba/dhhpQ2Hr0wOO2nq9Da7++47NG+xWvJZ9Xt59PsHpGxrH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\nI/4/C4iIcUtHFF4AAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -56,28 +76,33 @@ } ], "source": [ - "plt.plot(X, Y, 'o');" + "rides = [r for r in all_rides if r.feet > 0]\n", + "mph = [r.miles / r.hours for r in rides]\n", + "fpm = [r.feet / r.miles for r in rides]\n", + "\n", + "plt.plot(fpm, mph, '.')\n", + "print('Kept', len(rides), 'out of', len(all_rides), 'rides')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As expected, the speeds get slower as the grade gets steeper. The data has a lot of variance, and I can say that it \n", - "looks more like a curve than a straight line, so I'll fit a cubic (degree two) polynomial to the data,\n", - "and make the plot prettier:" + "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 cubic (degree two) polynomial to the data, and make the plot prettier:" ] }, { "cell_type": "code", "execution_count": 3, - "metadata": {}, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { - "image/png": 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\n", 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iVEgiIiIqHccmKZ/73Odwzz33xP3bvffei3vvvRcPPvhgic4qd8mCxHxXMLJi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\ni6SlpfHpp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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -90,40 +115,39 @@ " 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", - "F = poly(X, Y, 2) # defines y = F(x); x in ft/mile, y in mph\n", - "\n", - "def show(X, Y, F=F): \n", + "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)', fit=True): \n", + " F = poly(X, Y, 2)\n", " plt.rcParams[\"figure.figsize\"] = (12, 8)\n", " plt.style.use('fivethirtyeight')\n", - " plt.plot(X, Y, 'o')\n", - " X1 = list(range(int(max(X))))\n", - " plt.plot(X1, [F(x) for x in X1], '-')\n", - " plt.ylabel('Speed (mph)')\n", - " plt.xlabel('Grade (feet/mile)')\n", + " plt.plot(X, Y, '.')\n", + " X1 = list(range(int(min(X)), int(max(X)) + 5))\n", + " if fit: plt.plot(X1, [F(x) for x in X1], '-')\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", - " plt.title('Average speed vs Grade on {} rides'.format(len(X)))\n", - " \n", - "show(X, Y) " + " \n", + "show(fpm, mph) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "So, I average about 14 mph when the road 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 60 ft/mile and up, speed falls off quickly at 1 mph for every 20 ft/mile, and by 120 ft/mile, I'm down around 10 mph, and 8.5mph at 140 ft/mile. 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 flat-ish, then that's 8% grade on the up part.\n", + "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 40 ft/mile and up, speed falls off quickly, and by 140 ft/mile, I'm down under 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 (which is at least 7 miles).\n", "\n", - "I can use the polynomial `F` to estimate the duration of a route:" + "I can use the `poly` function to estimate the duration of a route:" ] }, { "cell_type": "code", "execution_count": 4, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ - "def duration(dist, climb, F=F):\n", + "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 dist / F(climb / dist) * 60" ] @@ -132,18 +156,20 @@ "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):" + "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": {}, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "6.2641828504384378" + "(69.426193865785734, 61.816569346397067)" ] }, "execution_count": 5, @@ -152,17 +178,167 @@ } ], "source": [ - "coast = duration(15.7, 344)\n", - "creek = duration(13.5, 735)\n", - "\n", - "coast - creek" + "duration(15.7, 344), duration(13.5, 735)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "This says the coast route takes 6.7 minutes longer. Good to know, but other factors are probably more important in making the choice." + "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 **m** for which you have bicycled **m** or more miles on **m** 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": [ + "{50: -17,\n", + " 51: -5,\n", + " 52: 0,\n", + " 53: 3,\n", + " 54: 7,\n", + " 55: 10,\n", + " 56: 12,\n", + " 57: 16,\n", + " 58: 20,\n", + " 59: 26,\n", + " 60: 28,\n", + " 61: 34,\n", + " 62: 37,\n", + " 63: 40,\n", + " 64: 43,\n", + " 65: 45,\n", + " 66: 47,\n", + " 67: 51,\n", + " 68: 52,\n", + " 69: 56,\n", + " 70: 57}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{m: m - sum(r.miles > m for r in rides)\n", + " for m in range(50, 71)}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The entry `{52: 0}` means **my Eddington Number is 52**: I've done 52 rides of 52 miles or more (at least of the ones that were recorded by Strava). I'd need only 3 rides of 53 miles to add one to my number, but I'd need a whopping 57 rides of 70 miles or more to get my number up to 70. Let's look at my distribution of ride distances, for my 40+ mile rides:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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pU6fqiiuuaN1i2W63a+DAgXriiSd09dVX67777tOzzz5rWbIAAADHE8MwVNkY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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = range(40, 101)\n", + "M = [min(X), max(X)]\n", + "plt.plot(M, M, '-')\n", + "show(X, [sum(r.miles > x for r in rides) for x in X], fit=False,\n", + " xlabel='Ride Distance (miles)', ylabel='Number of Rides longer than x miles')" + ] + }, + { + "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.\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 more impressive number with your **metric** Eddington Number:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{70: -22,\n", + " 71: -17,\n", + " 72: -12,\n", + " 73: -5,\n", + " 74: -1,\n", + " 75: 2,\n", + " 76: 4,\n", + " 77: 6,\n", + " 78: 9,\n", + " 79: 11,\n", + " 80: 13,\n", + " 81: 17,\n", + " 82: 26,\n", + " 83: 28,\n", + " 84: 33,\n", + " 85: 35,\n", + " 86: 37,\n", + " 87: 40,\n", + " 88: 42,\n", + " 89: 44,\n", + " 90: 46}" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def kms(ride): return ride.miles * 1.60934\n", + "\n", + "{m: m - sum(kms(r) > m for r in rides)\n", + " for m in range(70, 91)}" + ] + }, + { + "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?" ] } ], @@ -182,7 +358,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.3" + "version": "3.6.0" } }, "nbformat": 4,