{ "metadata": { "name": "", "signature": "sha256:7c7fee09403412662ad3af793c6e6435f2e638b0f8f2d5e7e0acb98be8172210" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GPkit: Autosweep Example\n", "-----------------------------------\n", "\n", "_Using [GPkit](https://github.com/appliedopt/gpkit) for model representation and solver interfacing._\n", "\n", "### Design objective\n", "\n", "An airplane with that consumes as little fuel as possible when cruising (while remaining capable of taking off from the ground, with wings that won't break, etc.)\n", "\n", "## 1. Set up the modeling environment\n", "\n", "Start by importing Numpy and GPkit, and turning on LaTex printing for GPkit variables and equations:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import gpkit\n", "gpkit.init_ipynb_printing()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then define the Hermite interpolation function for 1-D Hermite splines:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def hermite_interp(x, y, m, xvec):\n", " '''\n", " Evaluate the piecewise cubic Hermite interpolant with monoticity preserved\n", " \n", " x = array containing the x-data\n", " y = array containing the y-data\n", " m = slopes at each (x,y) point [computed to preserve monotonicity]\n", " xnew = new \"x\" value where the interpolation is desired\n", " \n", " x must be sorted low to high... (no repeats)\n", " y can have repeated values\n", " \n", " This works with either a scalar or vector of \"xvec\"\n", " '''\n", " n = len(x)\n", " mm = len(xvec)\n", " \n", " # Create \"copies\" of \"x\" as rows in a mxn 2-dimensional vector\n", " xx = np.resize(x,(mm,n)).transpose()\n", " xxx = xx > xvec\n", " \n", " # Compute column by column differences\n", " z = xxx[:-1,:] - xxx[1:,:]\n", " \n", " # Collapse over rows...\n", " k = z.argmax(axis=0)\n", " \n", " # Create the Hermite coefficients\n", " h = x[k+1] - x[k]\n", " t = (xvec - x[k]) / h\n", " \n", " # Hermite basis functions\n", " h00 = (2 * t**3) - (3 * t**2) + 1\n", " h10 = t**3 - (2 * t**2) + t\n", " h01 = (-2* t**3) + (3 * t**2)\n", " h11 = t**3 - t**2\n", " \n", " # Compute the interpolated value of \"y\"\n", " ynew = h00*y[k] + h10*h*m[k] + h01*y[k+1] + h11*h*m[k+1]\n", " \n", " return ynew" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# For scipyp n-dimensional interpolation (not working yet)\n", "from scipy.interpolate import interpnd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Declare variables," ] }, { "cell_type": "code", "collapsed": false, "input": [ "free_variables = {\n", " 'A': \"aspect ratio\",\n", " 'S': [\"m^2\", \"wing area\"],\n", " 'C_D': \"wing drag coefficient\",\n", " 'C_L': \"wing lift coefficent\",\n", " 'C_f': \"skin friction coefficient\",\n", " 'Re': \"Reynold's number\",\n", " 'W': [\"N\", \"aircraft weight\"],\n", " 'W_w': [\"N\", \"wing weight\"],\n", " 'D': [\"N\", \"cruising drag\"],\n", " 'V': [\"m/s\", \"cruising speed\"],\n", " 'V_min': [\"m/s\", \"takeoff speed\"],\n", "}\n", "gpkit.monify_up(globals(), free_variables)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "and constants:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "constants = {\n", " 'pi': (np.pi, \"half of the circle constant\"),\n", " 'CDA0': (0.03062702, \"m^2\", \"fuselage drag area\"),\n", " 'rho': (1.23, \"kg m^3\", \"density of air\"),\n", " 'mu': (1.78e-5, \"kg/m*s\", \"viscosity of air\"),\n", " 'S_wetratio': (2.05, \"wetted area ratio\"),\n", " 'k': (1.2, \"form factor\"),\n", " 'e': (0.96, \"Oswald efficiency factor\"),\n", " 'W_0': (4940, \"N\", \"aircraft weight excluding wing\"),\n", " 'N_ult': (2.5, \"ultimate load factor\"),\n", " 'tau': (0.12, \"airfoil thickness to chord ratio\"),\n", " 'C_Lmax': (2.0, \"max CL with flaps down\"),\n", "}\n", "gpkit.monify_up(globals(), constants)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Write system equations\n", "\n", "Start with subparts of complicated models:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "equations = []\n", "\n", "C_D_fuse = CDA0/S # Fuselage viscous drag,\n", "C_D_wpar = k*C_f*S_wetratio # wing parasitic drag,\n", "C_D_ind = C_L**2/(pi*A*e) # and induced drag\n", "equations += [C_D == C_D_fuse + C_D_wpar + C_D_ind] # together make a model for overall drag\n", "\n", "\n", "W_w_strc = 8.71e-5*(N_ult*A**1.5*(W_0*W*S)**0.5)/tau # A model for the wing's structural members\n", "W_w_surf = 45.24*S # and the weight of the wing's 'skin'\n", "equations += [W_w == W_w_surf + W_w_strc] # form a model of total wing weight." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then create the whole GP:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "gp = gpkit.GP( # Minimize\n", " D, # cruising drag\n", " [ # subject to\n", " D >= 0.5*rho*S*C_D*V**2, # the definition of drag,\n", " Re <= (rho/mu)*V*(S/A)**0.5, # the definition of Reynold's number,\n", " C_f >= 0.074/Re**0.2, # a skin friction model,\n", " W <= 0.5*rho*S*C_L*V**2, # a cruising lift constraint,\n", " W <= 0.5*rho*S*C_Lmax*V_min**2, # a takeoff lift constraint, \n", " W == W_0 + W_w, # the definition of aircraft weight,\n", " ] + equations, substitutions=constants) # and the equations and constants we defined earlier." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "V_min (['m/s', 'takeoff speed']) has no upper bound\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Automatically sweep 1-D Pareto frontier\n", "\n", "Start by saving the current GP state:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "gp.presweep = gp.last" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load plotting tools:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams[\"figure.frameon\"] = False\n", "matplotlib.rcParams[\"legend.frameon\"] = False" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Declare some helper functions:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def dict_append(base, new):\n", " if not base:\n", " base.update(new)\n", " for key, item in base.items():\n", " if type(item) is not list:\n", " base[key] = [base[key]]\n", " base[key].append(new[key])\n", " \n", "def _autosweep(xs, cs, dc_dxs, data):\n", " \"\"\"\n", " Given two positions and slopes, guesses at the intersection and checks.\n", " If the guess was within eps%, end: else, split\n", " \"\"\"\n", " global i, n_dims, eps\n", " A = np.array([[-1] + [dc_dxs[row][col]\n", " for col in range(n_dims)]\n", " for row in range(n_dims+1)])\n", " b = np.array([np.inner(dc_dxs[row], xs[row]) - cs[row] \n", " for row in range(n_dims+1)])\n", "\n", " s = np.linalg.solve(A,b)\n", " c_i = s[0]\n", " x = s[1:]\n", " \n", " # In the 1-D case intersections are guaranteed to be inside the swept area\n", " # but this does not appear to be the case for higher dimensions.\n", " # (shouldn't it be, though?)\n", " if any(x > xs.max(axis=0)) or any(x < xs.min(axis=0)):\n", " x = xs.sum(axis=0)/(1.0 + n_dims)\n", " \n", " if n_dims == 1:\n", " c_g = hermite_interp(xs, cs, dc_dxs, x)\n", " elif n_dims == 2:\n", " # Doesn't work yet; the guesses are bad\n", " cti = interpnd.CloughTocher2DInterpolator(xs, cs)\n", " # and using the actual gradient makes them inaccurate -and- negative\n", " cti.grad = np.array([ [dc_dx] for dc_dx in dc_dxs])\n", " c_g = cti(x)\n", " else:\n", " # Untested\n", " cti = interpnd.LinearNDInterpolator(xs, cs)\n", " c_g = cti(x)\n", " \n", " gp.load(gp.presweep, print_boundwarnings=False)\n", " gp.sub(dict(zip(autosweep.keys(), x)))\n", " newdata = gp.solve(printing=False)\n", " dict_append(data, newdata) \n", " c_a = newdata['D']\n", " dc_dx = np.array([newdata[\"S{%s}\"%svar] for svar in autosweep]) * newdata[\"D\"]/x\n", "\n", " if n_dims == 1:\n", " plt.plot([xs[0], x], [cs[0], c_i], 'k', alpha=0.1, linewidth=2)\n", " plt.plot([xs[1], x], [cs[1], c_i], 'k', alpha=0.1, linewidth=2)\n", " plt.plot(x, c_a, 'ko', alpha=0.5, markeredgecolor='none')\n", " plt.plot(x, c_g, 'ro', alpha=0.5, markeredgecolor='none')\n", " elif n_dims == 2:\n", " plt.plot(x[0], x[1], 'ko', alpha=0.5, linewidth=0)\n", " \n", " #print xs, x\n", " #print cs\n", " #print \"guessed %.2g, but it was actually %.2g\" % (c_g, c_a)\n", " if abs(1-c_a/c_g) > 10*eps**2:\n", " for j in range(n_dims+1):\n", " data = _autosweep(np.array(list(xs[:j])+[x]+list(xs[j+1:])),\n", " np.array(list(cs[:j])+[c_a]+list(cs[j+1:])),\n", " np.array(list(dc_dxs[:j])+[dc_dx]+list(dc_dxs[j+1:])), data)\n", " i += 1\n", " return data" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Determine sweep parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "autosweep = {\"V_min\": [10, 50]}\n", "n_dims = len(autosweep)\n", "\n", "if n_dims == 1:\n", " sweep_range = autosweep.values()[0]\n", " xs = [[sweep_range[0]], [sweep_range[1]]]\n", "else:\n", " xs = list(np.array(np.meshgrid(*autosweep.values())).T.reshape((2**n_dims, n_dims)))\n", "cs, dc_dxs = [], []\n", "startdata = {}\n", "for x in xs:\n", " gp.load(gp.presweep, print_boundwarnings=False)\n", " gp.sub(dict(zip(autosweep.keys(), x)))\n", " newdata = gp.solve(printing=False)\n", " cs.append(newdata[\"D\"])\n", " dc_dxs.append(np.array([newdata[\"S{%s}\"%svar] for svar in autosweep]) * newdata[\"D\"]/x)\n", " dict_append(startdata, newdata)\n", "\n", "xs, cs, dc_dxs = map(np.array, [xs, cs, dc_dxs])\n", "print xs" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[10]\n", " [50]]\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "and ground-truth:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "gp.load(gp.presweep, print_boundwarnings=False)\n", "gp.sub({'V_min': ('sweep', np.linspace(10, 50, 100), \"m/s\", \"takeoff speed\")})\n", "sweptgp = gp.solve()\n", "gp.sweep = {}" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Using solver 'mosek'\n", "Sweeping 1 variables over 100 passes\n", "Solving took 1.59 seconds " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then autosweep between the given bounds:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import time\n", "eps, i = 0.1, 0\n", "des_errs = 10**(-np.array(range(1, 5), 'f'))\n", "sols = []\n", "act_errs = []\n", "for des_err in des_errs:\n", " start_time = time.time()\n", " eps = des_err\n", " i = n_dims + 1\n", " data = dict(startdata)\n", " plt.figure()\n", " data = _autosweep(xs[:n_dims+1], cs[:n_dims+1], dc_dxs[:n_dims+1], data)\n", " time_taken = time.time()-start_time\n", " \n", " x_s, y_s = sweptgp[\"V_min\"], sweptgp[\"D\"]\n", " plt.plot(x_s, y_s, 'k--')\n", " x_as, y_as, S_as = map(np.array, [data[\"V_min\"], data[\"D\"], data[\"S{V_min}\"]])\n", " sort_I = np.argsort(x_as)\n", " x_as, y_as, S_as = x_as[sort_I], y_as[sort_I], S_as[sort_I]\n", " y_asi = hermite_interp(x_as, y_as, S_as*y_as/x_as, x_s[:-1])\n", " plt.plot(x_s[:-1], y_asi, 'r--')\n", " worst_error = abs(y_asi/y_s[:-1] - 1).max()\n", " plt.title(\"[%i solutions and %.2g seconds] \\n Desired error bound was %.0e; we got %.0e\"\n", " % (i, time_taken, eps, worst_error))\n", " plt.grid()\n", " plt.ylabel(\"Drag [N]\")\n", " plt.xlabel(\"V_min [m/s]\")\n", " sols.append(i)\n", " act_errs.append(worst_error)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 294, "width": 391 } }, "output_type": "display_data", "png": 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s6whPtl1M3fb5DBIeY58ieQCENYS1rvHjdufw1YHij9s6rOngW4J9ncfwZpri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z9TvthK438v9os4xKHlNgJ3TnEp7gTcea0zyCvU/Rk8GvY22SD8Q6aMdPzBqx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AK4AfjhccZZlInDwMAAgUAgdVxWVobb7c7jiPJjZGQEr9ebOtY0jdra2llZdZiO5C7Oo6d0Jdls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\nWwi2pmNzv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hbfzjqriJpB+P8ZSOA5T+Pivmf2b9CfXibGTvZGQalqTkqez7rdz3sCtfxPqD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/dC8+bNw+PxKL1PObFtm0gkwl/91V9x3333Fb1mGAY1NTXjLm2arI6ODr75zW/mv/fT6TS9vb0M\nDAyQzWSYPzLCkmPH+K2eHm5NpSic5zCBNzSNoz4fw9XVhBsb8xWf3G530X4MY/Fibt++/bxjmc19\nEjPx/XmpkliqJfFUS+KpjsRSHUkcJvaHwDeAM8Ae4CTQjJNMVAM7gA8XnH85TuJwAPjBONd7Hdg5\nzvNfA+4FTgFPAl7gLpzEZRNwbrerYhWVOKRSKfr7+/PH4/7mvcRmqt7zwMAAyWQyf+z1eqmvr1d+\nn3KjaRqdnZ3jbpwOhUKEw+Fx3jU5e/fuZffu3VQND7P02DFCudmsaCjEa/Pn02UYXHvttSxsamJ4\n1y58P/kJi9rbuT6RYLQo7o/cbgaWLs3/nWuahtfrzScRus/H2ueem3Bzd9vWrUXLqwo+OLXr1ytf\n6iT1yNWRWKol8VRL4qmOxFId6eMwsSqcH+Q/D3wf2A08BXwL+ChwC87sw5u582uALwI/xEkEXhjz\neJNz3Qb8K3AUuCl3/f/EmZ34PeC9/3979x4nd13fe/z1m/vesyEhG0hCLiCX1KIRDoJCLhQNoFwU\nqy1YEFItbbEW6vHoURNa8dgj1ApK+1AUtR6kLWopXkCExICIcvGCJCgkIbsbwiZ7v87Mzszv/PH9\nzezs7Fw339nd2byfj8c8Zvd3m+989ru7v898b8A3gYEi5dwGtbGOA5gKlz11p+u6c7KrUjXmew4E\nApPGOiSTScLhcN4pROebCy+8kPHx8SmD4ePxONFolHA4XLi7UBEnnHACrc89R+v27USiUXyui891\nicRirOjp4U3nnsvb/uqvWLlmDYvPPJPIRRfRe9llPPXsszzrOOxJpehpaiKQZz2RRCJBLBYjlkgw\nsm4dsVgMx3Ey78Hn8/GbL3yh8DgJILp7NwNDQ7SddVbF760YzUduj2Jpl+Jpl+Jpj2Jph9ZxmJ6P\nArcAd2CSBZhocfgaUO5k+98ArgLeB3w9Z9/NwCeAv8dLDgqoqRYHmDola1tb27RuGmtRT08PsVgs\n830kEpk0beh8NzQ0xPDwcN5VnltaWipfEHDnTnj0UQYHB9mzZ09m/ExjYyMnnngiTU1NsGnTlMHl\nj1x5JbEXXySRSDA+Pj5pLIbjOJMG7KfXjQDTxWro/vsJJpM0vva19H3zmwSAgM+H67pEfL6pdbmC\ncRKaGlZEROYydVWang8D/wh8Dkh33l6JSRwexnRJOgboAZ7AtEzk0wksxYyf6MrZ90bv3MeA9UXK\nUnOJw+HDhzMz4AAsXrx48mrK81g8Hqe7u3vStqPp/YOJQX9/f96B03V1dbS0tJSXSB7BGhjZ60Yk\nk0lisRjj4+OMj4/juu5EK1DWuhFpLe96F2/0ptTdA+wJhThcV8dAUxPOggVEIhHqfD5aQiECjmMe\nq1eXHCcx012eREREKjVTicN8mm8zgOlGBKZbUq4LvEe2HZgB0B1Z2xowCcMQU5MGMN2XAF6TZ19N\nCwQCkxKHRCJx1Nw4h0IhwuHwpFaH4eFhWltbZ7FUMysUCrF48WL6+/snzTQFMDY2Rjwep7W1tfTA\n8YceKp00gDnmoYcmrbq99IwzOPSOd9D37W/j9/sntXSkp3YdHx8n/uY3s+C00yYlOQdWr+aZF1/k\ntNFR1gBrvPUfGBgg1dmZSSZ66+uJNTVRt2QJ4X376Ovry4ybyB2AralhRUREJsynxOEzwFrMjEcP\nZ20fwXQr+i8mZlc6HdPNaCPwCPA6IN3JvcV7LjR+Ib19bk05ZEHuug3FFgabjxobGyclDmNjYzQ1\nNc379SyyOY5Da2srkUiEgYGBSQOnk8kkPT09NDY2mq5GhaSnrS1HnmPzrRsBpjuSPxBg6ZVXsvb6\n6xkcHGRwcJC+vj5GR0eJfP7z9CcS3HPTTSR6eggNDbFwbIxV4+Oc4rqcBJyUTib6+/lqXR2pQIAD\nBw6Ya3uPcDhMJBJhcPdueu67DwcKDsDGK+fBs8+uuNvSgQMHeOihh3jVi0FbWxtvfetbOX4OLygo\nIiJHt/nSgf2DmIHPu4H35uw7jEkSfgUMeo/HgLcAPwdOBLZUq2CO4xR8bNiwAcdxCg6g3rZt24zu\nz71B/tSnPjWnylft/ekZe9Juu+02gsHgnCnfTO6vq6vjzjvv5Pjjj+e2227LbHddl6GhIbq7u/nk\nJz9Z/Po7duDcfDPbduwovP9//++8559+ww08cNJJbPzJT/haRweEQvhXreKU227j9BtuIBAIcPvt\nt7Nq1Sruv/9+Xv/613PyySezbNkyjlmxgsWLFvGDSITL4nH+Z2srt69eza3HHstXmpv571CIJ3w+\n7u/t5conn+Szn/0sfX19DAwMMDAwwKFDh2hvb+djW7Zw/s6dfPnFF83q18PDRKNRxsfHSaVSfO3l\nl0359u3jpS9OnWStWHx37tzJlVdeyXXXXcePfvQj4vE47e3t3HXXXezcubPk+dqv/dqv/dp/9O1P\nb8/3mCnzYYzDXwO3A88D5wOHKjj3OszsSdlTuDZguikNMdH6kG2R9xpdmHEQhdTcGIfcNQ2CwSCL\nFy+exRJNtm1b9ed7jkaj9Pb2Zr53HIfFixfPy1aHcuNZaOC0z+ejpaWFurq6ySd89avQ3l5eIVas\nmNRVyYZXnnqKXTfeSMJbCTyZTJJKpYilUvj9flyfj6TrknQc6rdsoTlrnITf7ycUChEKhTj0oQ/h\neF33YtEoF+zaxcuOw8FAgP5wmPH6ekItLTQ0N+Ovr+fHZ57JRz/6UUKhEJFIpGCXrmJT1b60Zg1D\nzc1s2rSJ82pgVfJqmYnf9aOJ4mmX4mmPYmmPBkeX50PAP2EGOZ8PdBc/fIpLMVO6PghclLW9E5MU\nHA/k9qU4G/gp83BwtOu6HDx4MPO94zgsXVosN5pZMzXfc+4g8bm4GJ4NlcQzHo/T19c3ZdpWMK0T\nCxYsmPijdQSDo21Jj01wvUHW6Rma0oO7XdfF3biRY6+4gkQiMemRNvSxj+H3zhnq7uaqzs68rxUH\n9jsOr3Fdvn/qqcRPOIHgunUc/653EQiYFbAjkQjBYJCenh7uueceVnd2cmJHx5Q/wC7w8qpVtK9c\nyZYtW46o21ItzwSlud3tUjztUjztUSzt0ToOpX0E+CxmNefzMTMlVeoa4M3AjzDrNKSd7j2ex3Rx\nyvZ+4DzM9K4/KXLtbVA76zjAxFoO2b/E9fX1c2pK1pmY79nv908aHJxIJOZcHGwpN57pgcrJZHLK\n2JdEIkE0GiUYDJpZj5qbweeDffuKX3TTJnjta6dZ8uLazjqLgaEhoi+8gM/nIxgMEg6HCQaDBIJB\nmi+/nLXXX099fX1mzEZjYyONjY1EIhECgQADTz+Nb2iIVCpFIBzmmcZGng2Hed7vZ5/j0Ou64Los\nxEzVBvDn3d2c8tJLDD/7LO4112SSlrGxMYaHh/nOd75D4LnnaNq7l954nP0jI3SMjtIdjzMYj5Ny\nXRb09+O6LnvGx1m3bt203v+v77iDzttvx+3rg2QSkknc/n56Hn64KutXVIPmdrdL8bRL8bRHsbRD\n6zgU9wlMYJ7GjFXoL3LsOkxykZvSno8ZSB0E3gQ8mbUv3aqwBzgz6/orgWeAOuAUzKrVhdRciwNA\nd3c38Xg88/0xxxxDOByexRLNjkOHDk26QW5oaKClJV/PtaPP6OgoAwMDedd8mDRweudO2L497zSm\nbNw4ZQ2Hasj3qftJN9xAm3dDnk56YrEY8Xh80ns6/KtfcfAf/gE3lcJ13cxCeSnv+0AggM/nI5FI\n4Kxfj6+/H9+ePdQfOMDo8uUsu+OOKeX51uc/z4m//W3mD+/haJSxZJLg4CCr+/oYi0RI1tWRrKtj\n/7p1XL11K8FgMDPrV7obVfqRL5ktOhOUp/Wd77Q6E1Qtt26IiMwH6qpU2NXA3UASs9DbYJ5j9jGx\ncNsOzADoJ4AD3rY/xMyo5GKSkE/nucatmAHXnZgxECHMytStwA3AnSXKWZOJQ39//6RVlFtaWmho\naJjFEs2OsbEx+vr6Mt87jsOSJUvmZavDdCQSCfr6+iZ16UoLhUK0traa1ocDB8yUq+nZk9raYPNm\nOO64GS5xaa7rmhWpYzGi0SjJZJIXv/IVoj/4QdFznPPPZ8VVV+E4Dj6fj1QqlVnALvf3f+dNN1E/\nOPEn6+DYGOOpFEteeYUbvDUosvUBXaEQfQ0NDLW0ED32WFJLlxI5+2yOveCCzDSy6eehF17gwM03\n4ys1YK6Cxe9KsbHOxZEmHuWcr+RGROYzJQ6FbfUeLoXLvwPY5H19LXA58AeYgc1BzLiFnwFfwLQs\nFHI18FfAaZhE5VlM96jCdxITajJxGB4eZjDrxuZo/qQ9t9WhsbGR5ubmWSzR3DM4OJhZFTpbwYHT\nNSSRSBCLxfjV7bcz/MADeW+MIxdeyEnXXZez2SEcDhMOh3Ech0QiQTweJx6P88y119Lf28t4KkXK\ndWkfHSXluoQGBlg2MMDiZJJFySRLUimWui6FovfDk09myT33TNnevm0b/gMHMt+nUikcxyGZSuH3\n+QiHw/h8PhzHwb9qFWd/+cuZhCf7udwZOmy0bhxp4lHO+eW+Rm5yMRoO43ccwtEoYJKNBRs30r99\nO/27djHW0UHQcQi0thKLxUiFQtDXR9BxqF++nPpTT1VyIiIzQolD7avJxCF3VqFIJMLChQtnsUSz\nZ3R0lP7+iV5wanXILxaL0d/fn3fgdH19PS0tLTM6VVw1vPLUU/z+jjtIdHaSTKVgyRKOu/Zajilj\njEYgEMgkErGtW/nlz3+e2TecSBD1HqOpFM2hEOOpFAnXZc1pp8EllzDyu98R37MHt6OD4MGD1PX2\nMrh+PSv+7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kv+7SNCYJXmO5RaaCGs8/S9i+FathmosilllJ2nZDTBqCtO/HBlHHuRNrFfCY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\nzWR4XkMyWO7tpXdmB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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.loglog(sols, np.array(des_errs), 'r--')\n", "plt.loglog(sols, (10*np.array(des_errs)**2), 'r')\n", "plt.loglog(sols, np.array(act_errs), 'k')\n", "plt.legend([\"Requested Tolerance\", \"Worst Seen\", \"Worst Actual\"])\n", "plt.xlabel(\"Inverse Error\")\n", "plt.xlabel(\"Solutions\")\n", "lsr = np.log(sols[-1]/sols[0])\n", "print \"Log-slope of desired error secant: %.2g\" % (np.log(des_errs[-1]/des_errs[0])/lsr)\n", "print \" Log-slope of actual error secant: %.2g\" % (np.log(act_errs[-1]/act_errs[0])/lsr)\n", "print \" Log-slope of seen error secant: %.2g\" % ((np.log(10)+2*np.log(act_errs[-1]/act_errs[0]))/lsr)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Log-slope of desired error secant: -2.1\n", " Log-slope of actual error secant: -2.4\n", " Log-slope of seen error secant: -4\n" ] }, { "metadata": { "png": { "height": 274, "width": 382 } }, "output_type": "display_data", "png": 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ChQvRoUMHWFlZmSFqxhhg3oS/K+QJrxYD+DB/XUuddTMK1B8O4DaAOQDWAvgc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\nZ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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the graph above we can also see that the number of solutions per desired error bound follows a one-quarter power law, as might be expected for evenly-spaced spline points [[1]](http://pages.cs.wisc.edu/~holzer/cs412/lecture13.pdf).\n", "\n", "However, actually accuracy lags behind, following a square-root. To correct for this, the desired tolerance is squared and then multiplied by 10: as can be seen, this does a pretty good job of following the actual error." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "------------------\n", "_This example was written by Edward Burnell (eburn@mit.edu), who welcomes any comments or suggestions._" ] } ], "metadata": {} } ] }