From dff9e97b01417ed1f5435229df7423a59952ce51 Mon Sep 17 00:00:00 2001 From: Chichi Lalescu Date: Mon, 8 Dec 2014 13:42:09 -0500 Subject: [PATCH] add subroutine to generate class methods dynamically --- examples/stability.ipynb | 234 ++++++++++++++------------------------- 1 file changed, 83 insertions(+), 151 deletions(-) diff --git a/examples/stability.ipynb b/examples/stability.ipynb index d746a2b..b3cef00 100644 --- a/examples/stability.ipynb +++ b/examples/stability.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:cb0ced71b0849d29a9ea9ee9a8025788cb2d51700744a96ad41fc1deabe13a8b" + "signature": "sha256:853a7b8a6ab28913bff1347767fd118d8e2fcc1d862f7a1f82379c9a629b44aa" }, "nbformat": 3, "nbformat_minor": 0, @@ -14,127 +14,44 @@ "input": [ "import numpy as np\n", "import sympy as sp\n", - "from pyNT.ode import ODE" + "from pyNT.ode import ODE, get_stability_region" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "x = sp.Symbol('x')\n", - "\n", - "tst_sys = ODE(\n", - " x = [x],\n", - " f = [x])" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 2 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "npoints = 200\n", - "Y, X = np.ogrid[-6:6:npoints*1j, -11:1:npoints*1j]\n", - "Z = X + 1j*Y\n", - "X0 = np.ones((1, npoints, npoints), dtype = np.complex128)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 3 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "traj0 = tst_sys.Euler(\n", - " h = Z,\n", - " nsteps = 1,\n", - " X0 = X0)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 4 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "traj1 = tst_sys.Heun(\n", - " h = Z,\n", - " nsteps = 1,\n", - " X0 = X0)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 5 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "traj2 = tst_sys.cRK(\n", - " h = Z,\n", - " nsteps = 1,\n", - " X0 = X0)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 6 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "traj3 = tst_sys.EE4_alt(\n", - " h = Z,\n", - " nsteps = 1,\n", - " X0 = X0)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 7 - }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", + "\n", + "solver_list = ['Euler',\n", + " 'Heun',\n", + " 'cRK',\n", + " 'EE4_alt',\n", + " 'EE_1_2_3_4',\n", + " 'EE_1_2_3_4_5',\n", + " 'EE_2_3_5_7',\n", + " 'SSPRK104']\n", + "\n", + "contours = get_stability_region(\n", + " solver_list = solver_list)\n", + "\n", "fig = plt.figure(figsize=(10,10))\n", "ax = fig.add_subplot(111)\n", - "ax.contour(X.ravel(),\n", - " Y.ravel(),\n", - " np.abs(traj0[1, 0]),\n", - " levels = [1],\n", - " colors = 'red')\n", - "ax.contour(X.ravel(),\n", - " Y.ravel(),\n", - " np.abs(traj1[1, 0]),\n", - " levels = [1],\n", - " colors = 'blue')\n", - "ax.contour(X.ravel(),\n", - " Y.ravel(),\n", - " np.abs(traj2[1, 0]),\n", - " levels = [1],\n", - " colors = 'green')\n", - "ax.contour(X.ravel(),\n", - " Y.ravel(),\n", - " np.abs(traj3[1, 0]),\n", - " levels = [1],\n", - " colors = 'orange')\n", - "plt.show()" + "for i in range(len(solver_list)):\n", + " line = ax.plot(contours[i][0][:, 0],\n", + " contours[i][0][:, 1],\n", + " label = solver_list[i])\n", + " for path in contours[i][1:]:\n", + " ax.plot(path[:, 0],\n", + " path[:, 1],\n", + " color = line[0].get_color())\n", + "ax.legend(loc='best')\n", + "ax.set_aspect('equal')" ], "language": "python", "metadata": {}, @@ -142,9 +59,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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BaW/+Xga/PZgTW57Ii6e+iMuqWf8sJ8cng23jsb2hLsURzTSJiIhUVf4OWHSzeXR+wGRo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\n+hBmL55dSaFrsZw81rboTrPlM7OdJJmlSZJUtzR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6Zv9Y7dr08fbmP/HxdDx6lDUtW/IPT08ATpyAwEDzghPA3r17MRqNdO/e/aav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\nwGBgbXY2S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"text": [ - "" + "" ] } ], @@ -154,50 +71,65 @@ "cell_type": "code", "collapsed": false, "input": [ - "evdt = tst_sys.get_evdt(\n", - " h0 = 4.,\n", - " solver = ['cRK', 'EE4'],\n", - " X0 = np.ones(1)*2.)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "ename": "TypeError", - "evalue": "'NoneType' object has no attribute '__getitem__'", - "output_type": "pyerr", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0mh0\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m4.\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[0msolver\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;34m'cRK'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'EE4'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 4\u001b[1;33m X0 = np.ones(1)*2.)\n\u001b[0m", - "\u001b[1;32m/usr/local/lib/python2.7/dist-packages/pyNT-20141207-py2.7.egg/pyNT/ode.pyc\u001b[0m in \u001b[0;36mget_evdt\u001b[1;34m(self, h0, nsteps, X0, exp_range, solver, relative)\u001b[0m\n\u001b[0;32m 199\u001b[0m for n in exp_range]\n\u001b[0;32m 200\u001b[0m dist = [np.average(np.abs(x0[p][-1] - x1[p][-1]), axis = 0)\n\u001b[1;32m--> 201\u001b[1;33m for p in range(len(x0))]\n\u001b[0m\u001b[0;32m 202\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mrelative\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 203\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mp\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", - "\u001b[1;31mTypeError\u001b[0m: 'NoneType' object has no attribute '__getitem__'" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig = plt.figure(figsize = (10, 6))\n", - "ax = fig.add_subplot(111)\n", - "ax.plot(evdt[:, 0], evdt[:, 2])\n", - "ax.plot(evdt[:, 0], evdt[:, 0]**4)\n", - "ax.set_xscale('log')\n", - "ax.set_yscale('log')" + "from types import MethodType\n", + "\n", + "def factor_list(nl):\n", + " f = 1\n", + " for n in nl:\n", + " f *= n\n", + " return f\n", + "\n", + "def get_zeta_coeff_direct(nl):\n", + " cl = []\n", + " order = len(nl)\n", + " for n in nl:\n", + " cnum = n**(order-1)\n", + " cden = 1.0\n", + " nlf = factor_list(nl)\n", + " for m in nl:\n", + " if m != n:\n", + " cden *= (n-m)\n", + " cl.append(cnum/cden)\n", + " return cl\n", + "\n", + "def add_EE_method_to_ODE(\n", + " step_list = [1, 2, 3, 4]):\n", + " coefflist = get_zeta_coeff_direct(step_list)\n", + "\n", + " func_name = 'EE'\n", + " for step in step_list:\n", + " func_name += '_{0}'.format(step)\n", + " func_txt = 'def ' + func_name\n", + " func_txt += ('(self, h, nsteps, X0):\\n' +\n", + " ' X = np.zeros((nsteps+1,) + X0.shape, X0.dtype)\\n' +\n", + " ' X[0, :] = X0\\n' +\n", + " ' for t in range(1, nsteps+1):\\n'\n", + " ' F = self.rhs(X[t-1])\\n')\n", + " for step in step_list:\n", + " func_txt += ' X{0} = X[t-1] + F*h/{0}\\n'.format(step)\n", + " for i in range(1, step):\n", + " func_txt += ' X{0} += self.rhs(X{0})*h/{0}\\n'.format(step)\n", + " func_txt += ' X[t] = '\n", + " for i in range(len(step_list) - 1):\n", + " func_txt += 'X{0}*{1} + '.format(step_list[i], coefflist[i])\n", + " func_txt += 'X{0}*{1}\\n'.format(step_list[-1], coefflist[-1])\n", + " func_txt += ' return X\\n'\n", + " exec(func_txt)\n", + " exec('func = {0}'.format(func_name))\n", + " setattr(ODE, func_name, MethodType(func, None, ODE))\n", + " return None\n", + "\n", + "add_EE_method_to_ODE(\n", + " step_list = [1, 2, 3, 4])\n", + "add_EE_method_to_ODE(\n", + " step_list = [1, 2, 3, 4, 5])\n", + "add_EE_method_to_ODE(\n", + " step_list = [2, 3, 5, 7])" ], "language": "python", "metadata": {}, - "outputs": [] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] + "outputs": [], + "prompt_number": 7 }, { "cell_type": "code",