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@xaedes
Created March 22, 2014 09:08
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{
"metadata": {
"name": "curve fitting 2"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"import numpy as np\n",
"import scipy.optimize as opt\n",
"from scipy.optimize import fmin_slsqp\n",
"import matplotlib.pyplot as plt\n",
"import math\n",
"import collections\n",
"grad2rad = math.pi / 180"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 147
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def gerade(s, x0, y0, tx, ty):\n",
" if np.ndim(s) == 0:\n",
" s = np.array([s])\n",
" x = np.zeros_like(s)\n",
" y = np.zeros_like(s)\n",
" \n",
" x0 = 0\n",
" y0 = 0\n",
" tx = 1\n",
" ty = 1\n",
" \n",
" x = tx * s + x0\n",
" y = ty * s + y0\n",
" \n",
" return x,y\n",
" \n",
"def kreisbahn(s, x0, y0, phi0, k):\n",
" # k kr\u00fcmmung (\u00e4nderung des winkels der tangente \u00fcber die strecke s)\n",
" # (x0,y0) anfangspunkt\n",
" if np.ndim(s) == 0:\n",
" s = np.array([s])\n",
" x = np.zeros_like(s)\n",
" y = np.zeros_like(s)\n",
"\n",
" \n",
" x = x0 + (sin(phi0 + k*s) - sin(phi0))/k\n",
" y = y0 + (cos(phi0) - cos(phi0 + k*s))/k\n",
" \n",
" return x,y\n",
"\n",
"#def ableitung_distanz_zu_kreisbahn(x0,y0,phi0,k,x,y\n",
"\n",
"def distanz_zu_kreisbahn(x0,y0,phi0,k,x,y):\n",
" assert k != 0\n",
" x_m = x0 - np.sin(phi0)/k\n",
" y_m = y0 + np.cos(phi0)/k\n",
" r = 1/k\n",
" d = np.sqrt(np.square(x-x_m)+np.square(y-y_m))-r\n",
" \n",
" \n",
" return d\n",
"\n",
"def naechster_punkt_auf_kreisbahn(x0,y0,phi0,k,x,y):\n",
" assert k != 0\n",
" x_m = x0 - np.sin(phi0)/k\n",
" y_m = y0 + np.cos(phi0)/k\n",
"\n",
" # winkel des schnittpunktes auf der kurve\n",
" phi_s = np.arctan2(x-x_m,-(y-y_m))\n",
" s = (phi_s - phi0) / k\n",
"\n",
" return (x_m,y_m,s)\n",
"\n",
"def fehler_funktion_kreisbahn(params,x,y,x0,y0):\n",
" #print 'params'+str(params)\n",
" #print 'x'+str(x)\n",
" #print 'y'+str(y)\n",
"\n",
" phi0,k = params\n",
" \n",
" d = distanz_zu_kreisbahn(x0,y0,phi0,k,x,y)\n",
" return np.sum(np.square(d))\n",
" \n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 121
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def vis_curve(x0, y0, phi0, k, s=None, no_new_figure=False, color='r'):\n",
" if s==None:\n",
" s = np.linspace(0,360 * grad2rad/k,90)\n",
" x, y = kreisbahn(s, x0, y0, phi0, k)\n",
" if not no_new_figure:\n",
" figure()\n",
" plot(x, y, color)\n",
"\n",
"# erzeuge start parameter mit rauschen\n",
"def gen_initial_params(phi0,k,initial_noise=None):\n",
" if initial_noise==None:\n",
" initial_noise = 0.1*np.array([1,1])\n",
" initial_params = (phi0,k)\n",
" initial_params = tuple(np.array(list(initial_params))+initial_noise*np.random.normal(size=len(initial_params)))\n",
" \n",
" return initial_params\n",
"\n",
"\n",
"def solve(initial_params,x,y,x0,y0):\n",
" results1 = fmin_slsqp(fehler_funktion,initial_params,args=(x,y,x0,y0),bounds=[(-2*math.pi,4*math.pi),(0.01,10)], iprint=0 )\n",
" error1 = fehler_funktion(results1,x,y,x0,y0)\n",
" results2 = fmin_slsqp(fehler_funktion,initial_params,args=(x,y,x0,y0),bounds=[(-2*math.pi,4*math.pi),(-10,-0.01)], iprint=0 )\n",
" error2 = fehler_funktion(results1,x,y,x0,y0)\n",
" results3 = fmin_slsqp(fehler_funktion,initial_params,args=(x,y,x0,y0), iprint=0 )\n",
" error3 = fehler_funktion(results1,x,y,x0,y0)\n",
"\n",
" best = np.min(np.array([error1,error2,error3]))\n",
" if abs(error1-best) < 1e-4:\n",
" return results1\n",
" if abs(error2-best) < 1e-4:\n",
" return results2\n",
" if abs(error3-best) < 1e-4:\n",
" return results3\n",
" return None\n",
"\n",
"def vis_curve_with_noise(x0, y0, phi0, k0, phi, k,x_noise,y_noise):\n",
" figure()\n",
" vis_curve(x0,y0,phi0,k0,no_new_figure=True,color='r')\n",
" vis_curve(x0,y0,phi0,k0,no_new_figure=True,color='r.')\n",
"\n",
" plot(x_noise, y_noise, 'b*')\n",
" vis_curve(x0,y0,phi,k,no_new_figure=True,color='b')\n",
"\n",
"XYNoise = collections.namedtuple('XYNoise', ['x_noise', 'y_noise'])\n",
"\n",
"def gen_noise(x0, y0, phi0, k,n_samples,noise=0.515):\n",
" s = np.linspace(0,anteil_s * 360 * grad2rad/k,n_samples)\n",
" x, y = kreisbahn(s, x0, y0, phi0, k)\n",
" x_noise = x + noise*np.random.normal(size=len(x))\n",
" y_noise = y + noise*np.random.normal(size=len(y))\n",
" \n",
" return XYNoise(x_noise, y_noise)\n",
"\n",
"x0 = 10\n",
"y0 = 10\n",
"phi0 = 90 * grad2rad\n",
"r = 10\n",
"k0 = 1/r\n",
"n_samples = 10\n",
"\n",
"noise = 1.2515\n",
"\n",
"xy_noise=gen_noise(x0,y0,phi0,k0,n_samples,noise=noise)\n",
"initial_params = gen_initial_params(phi0,k0)\n",
"phi,k=solve(initial_params,xy_noise.x_noise,xy_noise.y_noise,x0,y0)\n",
"error=fehler_funktion((phi,k),xy_noise.x_noise,xy_noise.y_noise,x0,y0)\n",
"\n",
"#vis_curve_with_noise(x0,y0,phi0,k0,phi,k,xy_noise.x_noise,xy_noise.y_noise)\n",
"\n",
"n = 10000\n",
"nbins = 100\n",
"input_data = []\n",
"\n",
"n_viz = 5\n",
"\n",
"for i in range(n):\n",
" xy_noise=gen_noise(x0,y0,phi0,k0,n_samples,noise=noise)\n",
" initial_params = gen_initial_params(phi0,k0)\n",
" phi,k=solve(initial_params,xy_noise.x_noise,xy_noise.y_noise,x0,y0)\n",
" error=fehler_funktion((phi,k),xy_noise.x_noise,xy_noise.y_noise,x0,y0)\n",
" input_data.append(error)\n",
" \n",
" if n_viz > 0:\n",
" vis_curve_with_noise(x0,y0,phi0,k0,phi,k,xy_noise.x_noise,xy_noise.y_noise)\n",
" n_viz -= 1\n",
"\n",
"input_data = np.array(input_data)\n",
"histogram_cpu, edges = numpy.histogram(input_data, nbins)\n",
"\n",
"figure()\n",
"figsize(14,4)\n",
"\n",
"plt.subplot(131);\n",
"plt.plot(input_data);\n",
"plt.title(\"input_data\");\n",
"\n",
"plt.subplot(132);\n",
"plt.plot(histogram_cpu);\n",
"plt.title(\"histogram_cpu\");\n",
"\n",
"plt.subplot(133);\n",
"plt.hist(input_data, nbins);\n",
"plt.title(\"matplotlib.pyplot.hist(input_data, nbins)\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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mT0VERETOY8AA+M9/4J2FTfh7y8e5KOdbYi97GmfjJrvT2qsXzJ+vSmbS4NSt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\nHznww3F2/JjPjoyObAm5jE30Y8upcFo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},
{
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48MMvmTEjlo8+WlLZu1Iyr7wCf/sbREVZyvBiB7IPPrAOhP/+N9xzjxatFBER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\nUbBhA3TrlhtqhgyB0NBK/h1FRKRwjgM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},
{
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v5UdbpRhzuWwdl27drGzs55+tu/sCq1dDp042d/L69VbzW6JEvrdXRESkwHOv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\ngnUf//wzeJ2NhsBACy6///7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},
{
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8x/zhh2v+g+7aZSZnmjWD7dsVYERERKRs6tLFrPMNDKlMq4u/sjW1pUk2y5eb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\n8Vz7BW70/f4xN2HjFu0BAIBgMKhgMJj2+hmNxBw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},
{
"output_type": "display_data",
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JSwvCYcUKqFzZ3d0SERGRa+B0QteuUHnzDD6M6QZVqsD69ZpVIX9JC/slT3n0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\nu925tWX6+/uLsXmUkcVmIRaLaXh4WLFYTKFQSL2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},
{
"output_type": "display_data",
"png": 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48SIA4MCBAwgLC7NLYETUtrFHhYiIqG0zO+vXO++8g0ceeQRarRZ9+vTBhg0b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\nAgAAxBEqAABAHKECAADEESoAAECcFyO0nZNiX7NkAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 240
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"n = 1024 * 100\n",
"nbins = 1024\n",
"input_data = numpy.random.normal(0, 1, n).astype(numpy.float32)\n",
"histogram_cpu, edges = numpy.histogram(input_data, nbins)\n",
"\n",
"\n",
"\n",
"figsize(14,4)\n",
"\n",
"plt.subplot(131);\n",
"plt.plot(input_data);\n",
"plt.title(\"input_data\");\n",
"\n",
"plt.subplot(132);\n",
"plt.plot(histogram_cpu);\n",
"plt.title(\"histogram_cpu\");\n",
"\n",
"plt.subplot(133);\n",
"plt.hist(input_data, nbins);\n",
"plt.title(\"matplotlib.pyplot.hist(input_data, nbins)\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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JSYFGo0FwcDBWrlzJk5APspbIOPKvYiJD7sLyhIh0VILg2RRApVLBk4d48kng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\n6+cyXHNrSWnIsBGjLeX1FRGug21w1jIiojCSkQEsWuTfiAG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54PSV69atk8TERElJSZHS\n0lLPcvc0kYmJifLMM894ljc1NcncuXM909Ha7fZOZbTZbJ6ZIcyS6+OPP5aJEyf6TZ9ohmwbNmzw\nTIu6ZMkSaW5uNiTX/PnzZejQoRIZGSlWq1W2bNmiW44tW7ZIUlKSJCUlydatW2+ZraioSJKSkmTE\niBGez4B71jG9s2lJ61rSETXrjJa6W2vUpladUZtadUYNWtcatXKpXWfMorm5WRYtWiTp6ekyYcIE\n+fDDD42O1E5CQoKpGjIdrQdGMHLb0JFg2w2z8N1emEWgbUYoLCImO1COiIiIiIjoFsw1bQERERER\nEVEI2JAhIiIiIqKww4YMERERERGFHTZkiIiIiIgo7LAhQ0REREREYYcNGSIiIiIiCjv/B2rQbUg7\nzJE1AAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 215
}
],
"metadata": {}
}
]
}
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