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May 26, 2015 09:37
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This gist is a sample notebook for modeling the battle of Iwo Jima from a broad perspective, using Lanchester's Square Law.
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{"nbformat_minor": 0, "cells": [{"source": "This notebook explores a basic implementation of the Lanchester model, for the battle of Iwo Jima. It's essentially a Python script, ported to a notebook.\n\nA bit of background - the battle for Iwo Jima was one of the bloodiest battles in the Second World War, especially in the Pacific Theatre, eclipsed only by the battles fought by the Germans on the Eastern Front, at Stalingrad, Bagration and Kursk. We're going to assume that there were about the US had 54,000 troops and 19,000 reinforcements (whom we will ignore for now), while the Japanese had 21,500 troops with zero reinforcements - this roughly matches historical records. We're also going to take offensive firepower for both the Americans and the Japanese as 0.05 and 0.01 respectively.", "cell_type": "markdown", "metadata": {}}, {"execution_count": 6, "cell_type": "code", "source": "import matplotlib\nmatplotlib.use('Agg')\nfrom matplotlib import pyplot\nfrom pylab import *\nfrom numpy import arange, sin, pi\nfrom IPython.display import Image", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 2, "cell_type": "code", "source": "def slopefieldPlotter(xMin, xMax, xInterval, yMin, yMax, yInterval, dXy, dYx, xLab='', yLab='', mainLab='', drawAxes=True, filename='default'):\n # set params\n X,Y = meshgrid( arange(xMin,xMax,xInterval),arange(yMin,yMax,yInterval) )\n dX = dXy*Y\n dY = dYx*X\n\n # draw figure\n fig = figure()\n Q = quiver(X, Y, dX, dY, scale=4, scale_units='width', pivot='mid')\n\n # set dimensions and labels\n axis([xMin, xMax, -yMin, yMax])\n ax = fig.add_subplot(111)\n ax.xaxis.set_label_text(xLab)\n ax.yaxis.set_label_text(yLab)\n\n # add lines at axes and title\n if drawAxes==True:\n xl = Line2D([xMin,xMax],[0,0])\n yl = Line2D([0,0],[yMin,yMax])\n ax.add_line(xl)\n ax.add_line(yl)\n title(mainLab)\n\n # save file\n pngSave(filename)\n\n# draw curve (line) taking initial value\ndef drawVector(dXx, dXy, dYx, dYy, X0, Y0, numsteps, stepsize=0.01, colorVar='b'): # currently implemented for implicit diffEq's\n xCoords = [X0]\n yCoords = [Y0]\n\n # compute coordinates using Euler's method\n for i in range(1,numsteps): # maybe numsteps+1\n if i == 1: # first time thru\n x_tk = X0+((dXx*X0)+(dXy*X0))*stepsize\n y_tk = Y0+((dYx*X0)+(dYy*Y0))*stepsize\n else:\n x_tk_last = x_tk\n y_tk_last = y_tk\n x_tk = x_tk_last+((dXx*x_tk_last)+(dXy*y_tk_last))*stepsize\n y_tk = y_tk_last+((dYx*x_tk_last)+(dYy*y_tk_last))*stepsize\n xCoords.append(x_tk)\n yCoords.append(y_tk)\n\n pyplot.plot(xCoords, yCoords, color=colorVar)", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 3, "cell_type": "code", "source": "def drawFinalVector(dXx, dXy, dYx, dYy, X0, Y0, stepsize=.1, colorVar='b'): # currently implemented for implicit diffEq's\n xCoords = [X0]\n yCoords = [Y0]\n x_tk = X0+((dXx*X0)+(dXy*X0))*stepsize\n y_tk = Y0+((dYx*X0)+(dYy*Y0))*stepsize\n xCoords.append(x_tk)\n yCoords.append(y_tk)\n x_tk_last = x_tk\n y_tk_last = y_tk\n # compute coordinates using Euler's method\n while (x_tk > -0.01) & (y_tk > -0.01) & (x_tk_last > 0) & (y_tk_last > 0): \n x_tk_last = x_tk\n y_tk_last = y_tk\n x_tk = x_tk_last+((dXx*x_tk_last)+(dXy*y_tk_last))*stepsize\n y_tk = y_tk_last+((dYx*x_tk_last)+(dYy*y_tk_last))*stepsize\n xCoords.append(x_tk)\n yCoords.append(y_tk)\n\n pyplot.plot(xCoords, yCoords, color=colorVar)\n\ndef getFinalCoord(dXx, dXy, dYx, dYy, X0, Y0, maxsteps=1000, stepsize=.1): # currently implemented for implicit diffEq's\n x_tk = X0+((dXx*X0)+(dXy*X0))*stepsize\n y_tk = Y0+((dYx*X0)+(dYy*Y0))*stepsize\n x_tk_last = x_tk\n y_tk_last = y_tk\n numsteps = 1\n # compute coordinates using Euler's method\n while (x_tk > -0.01) & (y_tk > -0.01) & (x_tk_last > 0) & (y_tk_last > 0) & (numsteps <= maxsteps): \n x_tk_last = x_tk\n y_tk_last = y_tk\n x_tk = x_tk_last+((dXx*x_tk_last)+(dXy*y_tk_last))*stepsize\n y_tk = y_tk_last+((dYx*x_tk_last)+(dYy*y_tk_last))*stepsize\n numsteps += 1\n\n return x_tk_last, y_tk_last, numsteps*stepsize\n #return round(x_tk_last, 2), round(y_tk_last,2), round(numsteps*stepsize,0) #preprocessing option\n \ndef getEndVector(dXx, dXy, dYx, dYy, X0, Y0, numsteps, stepsize=0.01): # find where vector ends\n # compute coordinates using Euler's method\n for i in range(1,numsteps): # maybe numsteps+1\n if i == 1: # first time thru\n x_tk = X0+((dXx*X0)+(dXy*X0))*stepsize\n y_tk = Y0+((dYx*X0)+(dYy*Y0))*stepsize\n else:\n x_tk_last = x_tk\n y_tk_last = y_tk\n x_tk = x_tk_last+((dXx*x_tk_last)+(dXy*y_tk_last))*stepsize\n y_tk = y_tk_last+((dYx*x_tk_last)+(dYy*y_tk_last))*stepsize\n\n return round(x_tk, 2), round(y_tk,2) # may want to avoid rounding\n\ndef drawArrow(x1, x2, y1, y2, headlength=0.05, direction='R', lineColor='r'):\n pyplot.plot([x1, x2], [y1, y2], color = lineColor)\n\n if direction == 'R':\n pyplot.plot([x2,x2-(headlength*2)],[y2,y2+headlength], color=lineColor)\n pyplot.plot([x2,x2-(headlength*2)],[y2,y2-headlength], color=lineColor)\n\n elif direction == 'L':\n pyplot.plot([x2,x2+(headlength*2)],[y2,y2+headlength], color=lineColor)\n pyplot.plot([x2,x2+(headlength*2)],[y2,y2-headlength], color=lineColor)\n\n elif direction == 'U':\n pyplot.plot([x2,x2-headlength], [y2,y2-(headlength*2)], color=lineColor)\n pyplot.plot([x2,x2+headlength], [y2,y2-(headlength*2)], color=lineColor)\n\n elif direction == 'D':\n pyplot.plot([x2,x2-headlength], [y2,y2+(headlength*2)], color=lineColor)\n pyplot.plot([x2,x2+headlength], [y2,y2+(headlength*2)], color=lineColor)", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 4, "cell_type": "code", "source": "def pngSave(name):\n pngName = str(name) + '.png'\n pyplot.savefig(pngName)", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"execution_count": 5, "cell_type": "code", "source": "# set parameters\nX,Y = meshgrid( arange(0,6,.2),arange(0,6,.2) )\nU = -0.05*Y\nV = -0.01*X\n\n# create the slopefield\nfig = figure()\nQ = quiver(X, Y, U, V)\n\naxis([0, 6, 0, 6])\n\nmajorLocator = MultipleLocator(20)\nmajorFormatter = FormatStrFormatter('%d')\nminorLocator = MultipleLocator(5)\n#ax.xaxis.set_major_locator(majorLocator)\n#ax.xaxis.set_major_formatter(majorFormatter)\nax = fig.add_subplot(111)\n\n#ax.xaxis.set_ticklabels(['0','1', '2','3','4','5','6'])\nax.xaxis.set_label_text('US')\n#ax.yaxis.set_ticklabels(['0','1', '2','3','4','5','6'])\nax.yaxis.set_label_text('Japan')\n\ntitle('Lanchester Squares, Iwo Jima')\npyplot.savefig('lanchester1.png')\n\n\n# another plot with every third arrow\nfig = figure()\nQ = quiver( X[::3, ::3], Y[::3, ::3], U[::3, ::3], V[::3, ::3],\n color='r', units='x',\n linewidths=(1,), edgecolors=('k'), headaxislength=2 )\n\naxis([0, 6, 0, 6])\n\nmajorLocator = MultipleLocator(20)\nmajorFormatter = FormatStrFormatter('%d')\nminorLocator = MultipleLocator(5)\n#ax.xaxis.set_major_locator(majorLocator)\n#ax.xaxis.set_major_formatter(majorFormatter)\nax = fig.add_subplot(111)\n\n#ax.xaxis.set_ticklabels(['0','1', '2','3','4','5','6'])\nax.xaxis.set_label_text('US')\n#ax.yaxis.set_ticklabels(['0','1', '2','3','4','5','6'])\nax.yaxis.set_label_text('Japan')\n\ntitle('Lanchester Squares, Iwo Jima')\npyplot.savefig('lanchester2.png')", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}, {"source": "The first figure here shows the predicted change in forces over the course of the battle without US reinforcements:", "cell_type": "markdown", "metadata": {}}, {"execution_count": 7, "cell_type": "code", "source": "Image('lanchester1.png')", "outputs": [{"execution_count": 7, "output_type": "execute_result", "data": 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YsXaXIWXTJv9cz5492+5rtv5chUIhbty4gW+//Rbnzp3D6tWrAQD6+vp49913sWXLFujq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\npNY8dOgQTp8+r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"text/plain": "<IPython.core.display.Image object>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "The battle starts at the initial values listed above and lasts for sixty time periods, ending in the complete annihilation of the Japanese troops (also close to reality). Note that the axes are scaled in units of 10,000 troops.\n\nWhat happens when we add the US reinforcements?", "cell_type": "markdown", "metadata": {}}, {"execution_count": 9, "cell_type": "code", "source": "Image('lanchester2.png')", "outputs": [{"execution_count": 9, "output_type": "execute_result", "data": {"image/png": 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Lw8yZM9GxY0d7V63JFRUVIT4+HnFxcUhJScGsWbPQpk0be1eryen1eiQmJiIq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\n3I33DzkrFhAHCQkJgclkwtChQ+3r3NzcMGTIEBw+fBhXrlxRmI6eBP8Q5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IAQEREREZFu\nWECIiIiIiEg3LCBERERERKQbFhAiIiIiItINCwgREREREenm/wMB97C8TdnhKwAAAABJRU5ErkJg\ngg==\n", "text/plain": "<IPython.core.display.Image object>"}, "metadata": {}}], "metadata": {"collapsed": false, "trusted": true}}, {"source": "Here's a second scenario in which the 19,000 reserve troops are committed to the battle when the Japanese force dwindles to 9,000 troops (at about t=30).\n\nAs you can see, the battle ends more quickly (at t=50 instead of 60<t<65), with fewer US casualties overall (losses of 32,000 in the first scenario versus 27,000 in the second).", "cell_type": "markdown", "metadata": {}}, {"source": "Of the 22,060 Japanese soldiers entrenched on the island, 21,844 died either from fighting or by ritual suicide. Only 216 were captured during the battle. According to the official Navy Department Library website, \u2018The 36-day (Iwo Jima) assault resulted in more than 26,000 American casualties, including 6,800 dead.'\u201d By changing the time period at which reinforcements are added, this result could be closely approximated by Lanchester\u2019s model.", "cell_type": "markdown", "metadata": {}}, {"execution_count": null, "cell_type": "code", "source": "", "outputs": [], "metadata": {"collapsed": true, "trusted": true}}], "nbformat": 4, "metadata": {"kernelspec": {"display_name": "Python 2", "name": "python2", "language": "python"}, "language_info": {"mimetype": "text/x-python", "nbconvert_exporter": "python", "version": "2.7.9", "name": "python", "file_extension": ".py", "pygments_lexer": "ipython2", "codemirror_mode": {"version": 2, "name": "ipython"}}}} |
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