{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Függvények, illesztés, analitikai műveletek

\n", "\n", "Ebben a notebookban bemutatjuk, hogy lehet függvényeket írni, miként lehet az adatpontokra elvégezni az illesztési feladatokat." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "figsize(6,6) #Képméret megváltoztatása" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Függvények (function)\n", "\n", "A számítógép-programozásban a függvény (function) egy nagyobb program forráskódjának egy viszonylag jól felismerhető része, amely egy adott feladatot hajt végre. A kód többi részétől viszonylag független egység, és többször felhasználható anélkül, hogy a program kódjának több példányban is tartalmaznia kellene, azaz többször, több helyen is hivatkozhatunk ugyanarra a függvényre. Hasonló fogalmat jelölnek a eljárás, szubrutin, metódus, procedúra vagy alprogram nevek is." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A függvények és eljárások használatnak előnyei\n", "\n", "- csökkenthető a kódismétlődés\n", "- ugyanaz a függvény más programban is használható\n", "- összetett problémák egyszerűbb részekre bonthatók, ami könnyebbé teszi a kód frissítését és bővítését\n", "- javítható a program olvashatósága\n", "- elrejthetők és szabályozhatók a program egyes részei" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Az eddig megismert parancsokat felfoghatjuk már előre definiált függvényként. Például a `exp` parancs, olyan függvény, ami kiszámolja az `e` hatványait. Vagy a `plot` egy olyan eljárás, ami ábrázolja az adatokat. Néhány programozási nyelvben szokás különbséget tenni eljárás és függvény között. A függvény egy csoportja az eljárások halmazának. Olyan speciális eljárások, melyeknek van valamilyen visszatérési értéke (csinál valami, és az eredményt visszaadja a programnak). Tehát a `plot` inkább csak szimpla eljárás, míg az `exp`, vagy `sqrt` igazi függvények. A C-ben és a pythonban a két fogalmat szinonimaként használhatjuk. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A következőkben bemutatjuk, hogyan lehet egyszerűen a függvények használni. \n", "\n", "A függvények szintaktikájára jellemző, hogy 3 fő része van.\n", "* Beolvasott adatok, paraméterek\n", "* Műveletvégzés\n", "* A kész eredmény visszaadása a fő programnak (oda ahol megvolt hívva a függvény): **`return`** rész\n", "\n", "A következő példában a `func` függvény kiszámolja a beadott szám reciprokát, majd az eredményt visszaadja meghívás helyének, ez esetben a plot parancs y adatsorának." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "############################\n", "\n", "def func(x): # A fügvényünk megkapja az \"x\" adatokat\n", " return 1/x # A visszadás és a művelevégézés ez esetben egybe van olvasztva\n", "\n", "############################\n", "\n", "\n", "x=arange(1,2,0.01) # Geneáljuk az x adatokat\n", "\n", "plot(x, func(x)) # Ábároljuk az \"x\" fügvényében, a \"func(x)\" számokat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lehet több függvényünk is: (f1 és f2 nevű)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1b0Bb5e3QcgSjYVpkCkNcmiIifjNZ4sayAwBSpJLoOJC5bB9p4TqshSKkWrCH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\nLixoq45WLaanpVy5UsrubimffFLKbduUg6QBrVq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "########################################################\n", "def f1(t): # Egy \"sima\" koszinusz függvény\n", " y=cos(2*pi*t)\n", " return y\n", "########################################################\n", "########################################################\n", "def f2(t):\n", " y=f1(t) * exp(-t) # Adjunk hozzá \"exp(-t)\" csillapítást\n", " return y\n", "########################################################\n", "\n", "t1 = arange(0.0, 5.0, 0.05)\n", "\n", "plot(t1, f1(t1), 'r')\n", "plot(t1, f2(t1), 'bo')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Egy másik példa függvények használatára: \n", "Figyeljük meg, hogy a függvény hívásakor több paramétert is meg kell adni! (x,a,b-t is, ahol `x` egy vektor, míg `a` és `b` konstansok). A konstansok átadása a következő módon történik:
\n", ">`func(x, *(a,b))`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2.5, 100)\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def func(x,a,b):\n", " return (x**a)+b\n", "\n", "x=arange(1,2,0.01)\n", "zz=(2.5,100)\n", "print(zz)\n", "\n", "plot(x, func(x, *(zz)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Összetettebb feladat\n", "\n", "A következő példában a \"Mandelbrot-halmaz\" kiszámolás és ábrázolása a feladat. A Mandelbrot-halmaz (fraktál) egy síkbeli alakzat, amelyet egy alapvetően nagyon egyszerű algebrai összefüggés bonyolultabb (végtelennel kapcsolatos, analitikus fogalmakat, határérték-számítást igénylő) elemzése ad meg, rajzol ki.\n", "\n", "A matematikában a Mandelbrot-halmaz azon c komplex számokból áll (a „komplex számsík” azon pontjainak mértani helye, halmaza), melyekre az alábbi (komplex szám értékű) $x_{n}$ rekurzív sorozat:\n", "$$ x_1 := c$$\n", "$$ x_{n+1} := (x_n)^2+c$$\n", "nem tart végtelenbe, azaz abszolút értékben (hosszára nézve) korlátos.\n", "


\n", "Ábrázolva:\n", "
\n", "\n", "\n", "
\n", "       *** Elemezzük ki közösen a kódot!***" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MEReDS/Lv7fK+80zJ5uSfX2wQDk6OcMTZB1hXQDdeTvLxjKnTTvrhF80JruMI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\nZawoSgtR/URjY8yat/ujWJ1aVs7GBreMlfU06rG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "########################################################\n", "\n", "def mandelbrot( h,w, maxit=30 ): # A \"maxit\" default értéke szerepel itt\n", " \"\"\"Visszatér egy (h,w) méretű Mandelbrot fraktál képével\"\"\"\n", " y,x = ogrid[ -1.0:1.0:h*1j, -2:1:w*1j ] #létrehoz egy (h,w) méretű mátrixot komplex elemekkel\n", " c = x+y*1j\n", " z = c # Első eleme a sorozatnak (Complex szám!)\n", " divtime = maxit + zeros(z.shape, dtype=int) #létrehoz egy csupa \"maxit\" értékű mátrixot\n", " for i in range(maxit):\n", " z = z**2 + c # A többi elem így számolódik (rekurzív sorozat)\n", " diverge = z*conj(z) > 2**2 # kik divergensek\n", " div_now = diverge & (divtime==maxit) # ki csak most divergens \n", " divtime[div_now] = i # a most divergens tag beírása\n", " z[diverge] = 2 # a túl nagy divergencia elkerülése\n", "\n", " return divtime\n", "\n", "########################################################\n", "\n", "pcolor(mandelbrot(200,200)) # Itt adjuk meg mekkora tömböt dolgozzon fel a függvény\n", "colorbar()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pcolor(mandelbrot(100,100, maxit=5)) # Megadható, hogy mennyi legyen a \"maxit\"\n", "colorbar()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G9oJgN0tuDhuWuS4cj8po//FHWwYO3EBYWPQjkZ/bOKRKjrZHyVNrjNesOcuI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\nqlS5x6efPmHLFhfatzfH1bXoW02tWKGlWzcJvXv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IQlJS7jxlnTs78/PPgUyceI2VK/Nd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FOISu2Bd4QFb8VGpJsJsOEr02mw7Sc0qyA1AWyAV5Uq17u8TpzcEHlJSSx+pDfhErr6QcnvNZk0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "contour(mandelbrot(200,200), levels=arange(0,30,1))\n", "colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Függvény illesztés adatokra\n", "\n", "Az adatainkra is ugyanolyan függvényt kell illeszteni, mint amit fentebb megismertünk. \n", "A függvények illesztéséhez a **`curve_fit`** eljárást használjuk, a **`scipy`** csomagból, mely a Gnuplot-hoz hasonló elven keresi meg a paraméterek ideális értékét." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "adat=loadtxt(\"sinusadatok.dat\")\n", "x=adat[:,0]\n", "y=adat[:,1]\n", "z=adat[:,2]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "from scipy.optimize import curve_fit\n", "figsize(10,10)\n", "\n", "def func(x, a,b,c,d):\n", " return a*cos((d*(x+c)))+b\n", "\n", "parameter, covariance_matrix = curve_fit(func, x, z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Az illesztett paraméterek:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-1.21224409 2.60067796 1.22001586 1.00095743]\n" ] } ], "source": [ "print(parameter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A kovariancia mátrix diagonális elemei megegyeznek a hiba négyzetével, tehát az illesztési hiba így számolandó:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.00795894 0.00558654 0.01376697 0.0013635 ]\n" ] } ], "source": [ "print(sqrt(diag(covariance_matrix)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kicsit \"szofisztikáltabban\" így lehet leríni:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Amplitúdó: -1.21224408966 +/- 0.00795893637343\n", "y eltolás: 2.6006779641 +/- 0.00558654343834\n", "Kezdőfázis: 249.901759916 +/- 0.104207686602 [fok]\n", "Fázisnyújtás: 1.000957427 +/- 0.00136350325803\n" ] } ], "source": [ "print(\"Amplitúdó:\",parameter[0], \"+/-\", sqrt(diag(covariance_matrix)[0]))\n", "print(\"y eltolás:\",parameter[1], \"+/-\", sqrt(diag(covariance_matrix)[1]))\n", "print(\"Kezdőfázis:\",parameter[2]/(pi)*180.+180., \n", " \"+/-\", sqrt(diag(covariance_matrix)[2]/(pi)*180), \"[fok]\")\n", "print(\"Fázisnyújtás:\",parameter[3], \"+/-\", sqrt(diag(covariance_matrix)[3]))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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X1PhUd03aBGAs2srZRq0cjOGL/N13KRwxIjCnDODVV+HKK6GoqM3fPZToCm2l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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x,z, \"go\")\n", "xlabel(\"Idö [sec]\")\n", "ylabel(\"Elmozdulás [m]\")\n", "title(\"Lengés\")\n", "grid(True)\n", "plot(x, func(x, *parameter), 'r-', label='fit',linewidth=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Illesztési paraméterek megadása\n", "\n", "Lehetőség van kezdőfeltételt is megadni az illesztéshez. Erre a \"p0\" parameter szolgál. A mérési hibát a \"sigma\" paraméter után kell megadni." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.856699230653\n" ] } ], "source": [ "error=std(z) # \"std\" a sztendered hibát adja meg\n", "print(error)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Megadunk kezdőfeltétlet, és azt mondjuk, hogy az előbb számolt hiba a mérési hibánk.\n", "param, cov = curve_fit(func, x, z, p0=(1.,3.,0,1), sigma=error)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Most mit fogunk elrontani?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Amplitúdó: 1.21224408832 +/- 0.0079589311238\n", "y eltolás: 2.60067796639 +/- 0.0055865426268\n", "Kezdőfázis: 70.0739285247 +/- 0.0769798067432 [fok]\n", "Fázisnyújtás: 1.00095742632 +/- 0.00136350612273\n" ] } ], "source": [ "print(\"Amplitúdó:\",param[0], \"+/-\", sqrt(diag(cov)[0]))\n", "print(\"y eltolás:\",param[1], \"+/-\", sqrt(diag(cov)[1]))\n", "print(\"Kezdőfázis:\",param[2]/(pi)*180.+180., \"+/-\", \n", " sqrt(diag(cov)[2]/(pi)*180), \"[fok]\")\n", "print(\"Fázisnyújtás:\",param[3], \"+/-\", sqrt(diag(cov)[3]))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "print(\"Amplitúdó:\",param[0], \"+/-\", sqrt(diag(cov)[0]))\n", "print(\"y eltolás:\",param[1], \"+/-\", sqrt(diag(cov)[1]))\n", "print(\"Kezdőfázis:\",param[2]/(pi)*180.+180., \"+/-\", \n", " sqrt(diag(cov)[2]/(pi)*180), \"[fok]\")\n", "print(\"Fázisnyújtás:\",param[3], \"+/-\", sqrt(diag(cov)[3]))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "nav_menu": {}, "toc": { "navigate_menu": true, "number_sections": false, "sideBar": true, "threshold": 6, "toc_cell": false, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 0 }