{ "metadata": { "name": "Kolokwium-I-poprawa-rozwiazania" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Kolokwium I - poprawa" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Zadanie 1 (5 pkt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Napisz iterator \n", "
def wystapienia(tekst,baza):
\n", "kt\u00f3ry wypisze wszystkie \n", "wystapienia s\u0142\u00f3w z kolekcji (np. listy) *baza* w napisie *tekst*.\n", "\n", "Wyst\u0105pienia powinny by\u0107 wypisane jako tuple: **(wyst\u0105pienie, indeks pocz\u0105tku w tekst)**.\n", "\n", "*Uwaga:* Wielko\u015b\u0107 liter nie powinna mie\u0107 znaczenia *(Wskaz\u00f3wka: str.[TAB] w ipython)*." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#u'napis' koduje napis w unicode, kt\u00f3ry zachowuje si\u0119 bardzo podobnie do str\n", "list(wystapienia(u'Ale To Ju\u017c by\u0141o',[u'aLe',u'by\u0142',u'o']))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 2, "text": [ "[(u'aLe', 0), (u'o', 5), (u'by\\u0142', 11), (u'o', 14)]" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "def wystapienia(tekst,baza):\n", " for i in range(len(tekst)):\n", " for b in baza:\n", " if tekst[i:i+len(b)].lower()==b.lower():\n", " yield (b,i)\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Zadanie 2 (6+1 pkt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ca\u0142kowanie numeryczne metod\u0105 trapezu w $N-1$ punktach na przedziale $[a,b]$ \n", "wyra\u017ca si\u0119 wzorem:\n", "\n", "$$\n", "\\int_{a}^{b} f(x) dx \\approx \\frac{1}{2} \\sum_{k=0}^{N-2} \\left( x_{k+1} - x_{k} \\right) \\left( f(x_{k+1}) + f(x_{k}) \\right).\n", "$$\n", "
\n", "Napisz funkcj\u0119
def calka(f,a,b,N):
kt\u00f3ra wykona takie ca\u0142kowanie.\n", "Mo\u017cna za\u0142o\u017cy\u0107, \u017ce $a \\lt b$.\n", "\n", "Twoja funkcja powinna:\n", "\n", "1. Utworzy\u0107 wektor $\\\\{x_k\\\\}$ sk\u0142adaj\u0105cy si\u0119 z $N$ r\u00f3wno odleg\u0142ych punkt\u00f3w pomi\u0119dzy $[a,b]$ w\u0142\u0105cznie (*Wsk.: np.linspace*) \n", "1. Utworzy\u0107 wektor $\\\\{f(x_k)\\\\}$\n", "1. Wykona\u0107 ca\u0142kowanie metod\u0105 trapezu\n", "\n", "Napisz 2 wersje tej funkcji: \n", "\n", "1. $\\textrm{def calka}$ \"zwyk\u0142a\", dzia\u0142aj\u0105c\u0105 na listach i dowolnym $f$\n", "2. $\\textrm{def calka_numpy}$ wykonuj\u0105c\u0105 operacje wektorowo przy za\u0142o\u017ceniu, \u017ce $f$ jest funkcj\u0105 wektorow\u0105\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fun(x):\n", " return (x-3)*(x-5)*(x-7)+85\n", "\n", "#Uzyskane wyniki mog\u0105 r\u00f3\u017cni\u0107 si\u0119 nieznacznie w zale\u017cno\u015b\u0107i od implementacji\n", "print calka(fun,1,5,10)\n", "print calka_numpy(fun,1,5,50)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "307.209876543\n", "307.97334444\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Dodatkowy 1 punkt:** por\u00f3wnaj(wypisz) absolutn\u0105 ro\u017cnic\u0119 wynik\u00f3w $calka$ oraz ca\u0142kowania funkcj\u0105 *scipy.integrate.quad* dla $N \\in 5,10,15,20,25$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.integrate import quad\n", "Ns = (5,10,15,20,25) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "def calka(f,a,b,N):\n", " x = linspace(a, b, N)\n", " y = [f(xi) for xi in x]\n", " s = 0\n", " for k in range(len(x)-1):\n", " s+=(x[k+1]-x[k])*(y[k+1]+y[k])\n", " return s/2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "def calka_numpy(f,a,b,N):\n", " x = linspace(a, b, N)\n", " y = f(x)\n", " return np.sum((x[1:]-x[:-1])*(y[1:]+y[:-1]))/2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.integrate import quad\n", "a,b = 1,5\n", "abs(np.array([calka(fun,a,b,N) for N in Ns])-quad(fun,a,b)[0])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 9, "text": [ "array([ 4. , 0.79012346, 0.32653061, 0.17728532, 0.11111111])" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "#Dodatkowy kod z obrazkiem, to nie jest cz\u0119\u015b\u0107 rozwi\u0105zania\n", "from pylab import *\n", "a, b = 1, 5\n", "x = linspace(0,10,1000)\n", "y = fun(x)\n", "xint = numpy.append(x[logical_and(x>=a, x<=b)][::150],b)\n", "yint = numpy.append(y[logical_and(x>=a, x<=b)][::150],fun(b))\n", "\n", "plot(x, y, lw=2)\n", "axis([0, 8, 0, 140])\n", "fill_between(xint, 0, yint, facecolor='gray', alpha=0.4)\n", "text(0.5 * (a + b), 30,r\"$\\int_a^b f(x)dx$\", horizontalalignment='center', fontsize=20);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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xYcMGy1Wpo3Pn4MUX1fEzz6SRnf2zVa+ceL39+/cDEBAQoHMlQoi21qJx6HPn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\nXQghbIQEuhBC2AgJdCGEsBH/H20mM4ubwyMLAAAAAElFTkSuQmCC\n" } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Zadanie 3 (6 pkt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Napisz funkcj\u0119 \n", "
 def podzielne_stat(nlst,dzielniki):\n",
      "
\n", "kt\u00f3ra dla listy liczb naturalnych *nlst* oraz listy naturalnych dzielnik\u00f3w *dzielniki*\n", "wypisze:\n", "\n", "1. procent liczb z *nlst* podzielnych przez $d$ dla ka\u017cdego $d \\in \\textrm{dzielniki}$\n", "1. maksymaln\u0105 reszt\u0119 z dzielenia przez $d$ dla ka\u017cdego $d \\in \\textrm{dzielniki}$ \n", "
(*reszta = n%d)*\n", "\n", "W rozwi\u0105zaniu u\u017cyj s\u0142ownika(\u00f3w) *dict*, lub *collections.Counter*.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "podzielne_stat([5,8,10,15],[2,3,5])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Procent podzielnych: {2: 50, 3: 25, 5: 75}\n", "Maks. reszta: {2: 1, 3: 2, 5: 3}\n" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "def podzielne_stat(nlst,dzielniki):\n", " ile=dict()\n", " maxr=dict()\n", " for d in dzielniki: \n", " ile[d]=0\n", " maxr[d]=0\n", " for n in nlst:\n", " for d in dzielniki:\n", " r=n%d\n", " if r==0: ile[d]+=1\n", " if r>maxr[d]: maxr[d]=r\n", " for d in ile.keys():\n", " ile[d]=ile[d]*100/len(nlst)\n", " print 'Procent podzielnych:',ile\n", " print 'Maks. reszta:',maxr" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Zadanie 4 (7 pkt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**a)** Napisz defincj\u0119 klasy *Zdarzenia*\n", "
\n",
      "class Zdarzenia(object):\n",
      "
\n", "kt\u00f3ra ma nast\u0119puj\u0105cy interfejs:\n", "\n", "* *\\_\\_init\\_\\_(self, \\*wagi)*
\n", "Konstruktor, kt\u00f3ry przyjmuje dowoln\u0105 liczb\u0119 argument\u00f3w b\u0119d\u0105cych wagami \n", "
(liczby rzeczywiste - patrz przyk\u0142ad), nast\u0119pnie \n", "
1. odrzuca wszystkie wagi $w_i<=0$\n", "
2. zapami\u0119tuje wewn\u0105trz klasy ci\u0105g $p_i = \\frac{w_i}{\\sum w_i}$\n", "jako wektor *np.array* (jest to ci\u0105g prawdopodobie\u0144stw sumuj\u0105cych si\u0119 do 1)\n", "\n", "* *prob*
\n", "property zwracaj\u0105ce wektor prawdopodobie\u0144stw $p_i$\n", "\n", "* *entropia(self)*
\n", "zwraca entropi\u0119 policzon\u0105 ze wzoru ($H$ to entropia): \n", "
$ H = -\\sum^N_{i=1}p_i \\log(p_i)$ \n", "
U\u017cyj funkcji *np.sum* i *np.log* (logarytm naturalny)\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from numpy import sum, log, log2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**b)** Napisz podklas\u0119 *Zdarzenia\\_lg2* , kt\u00f3ra do liczenia entropii u\u017cywa logarytmu o podstawie 2 *(np.log2)*\n", "\n", "**Przyk\u0142ad:**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "zd=Zdarzenia(1.,3.,11.,4.,-1.)\n", "print \"Prob1 =\",zd.prob\n", "print \"H1 =\", zd.entropia()\n", "\n", "zd2=Zdarzenia_lg2(1.,3.,11.,4.,-1.)\n", "print \"Prob2 =\",zd2.prob\n", "print \"H2 =\", zd2.entropia()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Prob1 = [ 0.05263158 0.15789474 0.57894737 0.21052632]\n", "H1 = 1.09086727857\n", "Prob2 = [ 0.05263158 0.15789474 0.57894737 0.21052632]\n", "H2 = 1.57378881307\n" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from numpy import sum, log, log2\n", "\n", "class Zdarzenia(object):\n", " def __init__(self,*wagi):\n", " wagi = [w for w in wagi if w>0]\n", " sw = sum(wagi)\n", " self._p = np.array([float(w)/sw for w in wagi])\n", " \n", " @property\n", " def prob(self):\n", " return self._p\n", " \n", " def entropia(self):\n", " return -sum(self._p*log(self._p))\n", " \n", "class Zdarzenia_lg2(Zdarzenia):\n", " def entropia(self):\n", " return -sum(self._p*log2(self._p))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Zadanie 5 (4 pkt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Przeanalizuj przyk\u0142adowy kod poni\u017cej, oraz wynikowy wykres." ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "Compute the coherence of two signals\n", "\"\"\"\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# make a little extra space between the subplots\n", "plt.subplots_adjust(wspace=0.5)\n", "\n", "dt = 0.01\n", "t = np.arange(0, 30, dt)\n", "nse1 = np.random.randn(len(t)) # white noise 1\n", "nse2 = np.random.randn(len(t)) # white noise 2\n", "r = np.exp(-t/0.05)\n", "\n", "cnse1 = np.convolve(nse1, r, mode='same')*dt # colored noise 1\n", "cnse2 = np.convolve(nse2, r, mode='same')*dt # colored noise 2\n", "\n", "# two signals with a coherent part and a random part\n", "s1 = 0.01*np.sin(2*np.pi*10*t) + cnse1\n", "s2 = 0.01*np.sin(2*np.pi*10*t) + cnse2\n", "\n", "plt.figure(figsize=(8,6),facecolor='w')\n", "plt.subplot(211)\n", "plt.plot(t, s1, 'b-', t, s2, 'g-')\n", "plt.xlim(0,5)\n", "plt.xlabel('time')\n", "plt.ylabel('s1 and s2')\n", "plt.grid(True)\n", "\n", "plt.subplot(212)\n", "cxy, f = plt.cohere(s1, s2, 256, 1./dt)\n", "plt.ylabel('coherence')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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iCbZv385rr73GO++8wy9+8QseeuihEV0kGdFolLvuuou1a9eyf/9+Vq5cyYF+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\nAAQCgUAg8EKEABAIBAKBwAv5f2P1MVNkk905AAAAAElFTkSuQmCC\n" } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Napisz funkcj\u0119\n", "
def coherence3(s1,s2,s3):
\n", "kt\u00f3ra wykona wykres, taki jak poni\u017cej.\n", "\n", "* Na pierwszym wykresie powinny znale\u017a\u0107 si\u0119 wszystkie 3 sygna\u0142y,\n", "* na drugim wykresie powinna by\u0107 koherencja sygna\u0142\u00f3w s1,s2\n", "* na trzecim wykresie powinna by\u0107 koherencja sygna\u0142\u00f3w s2,s3\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#s1, s2 wzi\u0119te z przyk\u0142adu powy\u017cej\n", "coherence3(s1,s2,s1+s2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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0Ynr6wL3SH+V/RF3ufr4LaxYHOXsAVav58kQMKhX879J/wVNPifjIdtoMelwD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\noCDeeustmpqaaGxsZO3atQQPcGSkLd1rQ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g1YtIgKkgOOMYuecJuqFecV443rQ1zjTcBI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\n7j+hXIgZq3KcO0cPLLMsb/n5yuINIMuYmutUTbypxb1t2kT3b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PVj7NnDWL169Pfp04xV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\nVw3IKyrIHWQ2+2dcjH4YMgT48ce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} ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "def coherence3(s1,s2,s3):\n", " # make a little extra space between the subplots\n", " plt.figure(figsize=(10,8),facecolor='w') \n", " plt.subplots_adjust(wspace=0.5)\n", " plt.subplot(311)\n", " plt.plot(t, s1, 'b-', t, s2, 'g-',t, s3, 'r-')\n", " plt.xlim(0,5)\n", " plt.xlabel('time')\n", " plt.ylabel('s1 and s2 and s3')\n", " plt.grid(True)\n", "\n", " plt.subplot(312)\n", " cxy, f = plt.cohere(s1, s2, 256, 1./dt)\n", " plt.ylabel('coherence')\n", " \n", " plt.subplot(313)\n", " cxy, f = plt.cohere(s2, s3, 256, 1./dt)\n", " plt.ylabel('coherence')\n", " \n", " plt.show()\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }