{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "anaconda-cloud": {}, "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": "3.7.4" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "name": "3D.ipynb", "colab": { "name": "kl_py_diagramok_3D.ipynb", "provenance": [], "collapsed_sections": [], "include_colab_link": true } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "s9ijd0MWaINt", "colab_type": "text" }, "source": [ "# Adatdiagrammok következő szintje a 3D ábrák\n", "\n", "A `matplotlib` csomag elsősorban 2D ábrák gyártására lett kialakítva. \n", "\n", "Ennek ellenére rendelkezik néhány 3D-s ábrakészítési függvénnyel is. \n", "\n", "Ahhoz, hogy a 3D-s ábrázolási függvényeket el tudjuk érni, be kell tölteni a `matplotlib` csomag `mpl_toolkits.mplot3d` alcsomagját. " ] }, { "cell_type": "code", "metadata": { "id": "itlVKV0vaINv", "colab_type": "code", "colab": {}, "outputId": "14fae72c-73bc-4a72-af5e-d3a4e90cab6f" }, "source": [ "%pylab inline \n", "from mpl_toolkits.mplot3d import * #3D-s ábrák alcsomagja\n", "from ipywidgets import * #interaktivitáshoz szükséges függvények" ], "execution_count": 0, "outputs": [ { "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "GeNaJXUjaINy", "colab_type": "text" }, "source": [ "## Térbeli görbék, adathalmazok\n", "\n", "Ahhoz hogy egy ábrát térben tudjunk megjeleníteni, fel kell készíteni a környezetet. A térbeli ábrák megjelenítése és azok tulajdonságainak beállítása kicsit körülményesebb a 2D-s ábráknál.\n", "\n", "A legszembetűnőbb különbség, hogy az ábrák úgynevezett `axes` (körül belül itt a koordinátatengelyekre kell gondolni...) objektumok köré csoportosulnak, s ezek tulajdonságaiként, illetve ezeken alkalmazott függvényekként jönnek létre maguk az ábrák. \n", "\n", "Egy egszerű paraméteres térbeli görbe megjelenítése : spirális függvény:\n", "\n", "\\begin{equation}\n", "\\mathbf{r}(t)=\\left(\\begin{array}{c}\n", "\\cos(3t)\\\\\n", "\\sin(3t)\\\\\n", "t\n", "\\end{array}\\right)\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": { "id": "AcHuvRs3aINz", "colab_type": "text" }, "source": [ "Először is gyártsuk let a $t$ paraméter mintavételezési pontjait a $[0,2\\pi]$ intervallumban:" ] }, { "cell_type": "code", "metadata": { "id": "n1QtLqIoaIN0", "colab_type": "code", "colab": {} }, "source": [ "t=linspace(0,2*pi,100) # 100 pont 0 és 2*pi között" ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "rRu2razLaIN2", "colab_type": "text" }, "source": [ "A következő kódcellában két dolog fog történni. Előszöris létrehozzuk az `ax` nevű `axes` objektumot, amelynek expliciten megadjuk, hogy 3D-s koordinátarendszer legyen. Illetve erre az objektumra hatva a `plot` függvénnyel létrehozzuk magát az ábrát. Figyeljük meg, hogy most a `plot` függvény háruom bemenő paramétert vár! " ] }, { "cell_type": "code", "metadata": { "id": "H2rvXIRoaIN2", "colab_type": "code", "colab": {}, "outputId": "4931a376-03cc-4059-e62a-32dfe185b8d8" }, "source": [ "ax=subplot(1,1,1,projection='3d') #térbeli koordináta tengely létrehozása\n", "ax.plot(cos(3*t),sin(3*t),t)" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": { "tags": [] }, "execution_count": 3 }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "-doIwsh8aIN5", "colab_type": "text" }, "source": [ "Ahogy a síkbeli ábráknál láttuk, a `plot` függvényt itt is használhatjuk rendezetlenül mintavételezett adatok ábrázolására is. " ] }, { "cell_type": "code", "metadata": { "id": "zcVla-U4aIN5", "colab_type": "code", "colab": {}, "outputId": "0ab3eeb7-d261-4d4f-9b41-870c82cb5d22" }, "source": [ "ax=subplot(1,1,1,projection='3d')\n", "ax.plot(rand(10),rand(10),rand(10),'o')" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": { "tags": [] }, "execution_count": 4 }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "LyKZNQ4aaIN7", "colab_type": "text" }, "source": [ "A stílusdefiníciók a 2D ábrákhoz hasonló kulcsszavas argumentumok alapján dolgozódnak fel! Lássunk erre is egy példát:" ] }, { "cell_type": "code", "metadata": { "id": "J3GiYoSqaIN8", "colab_type": "code", "colab": {}, "outputId": "88af93c1-3fa4-48e6-8ad1-b40e33087a48" }, "source": [ "ax=subplot(1,1,1,projection='3d') #térbeli koordináta tengely létrehozása\n", "ax.plot(cos(3*t),sin(3*t),t,color='green',linestyle='dashed',linewidth=3)" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": { "tags": [] }, "execution_count": 5 }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "jd8JXLoEaIN-", "colab_type": "text" }, "source": [ "Térbeli ábrák megjelenítése kapcsán rendszeresen felmerülő probléma, hogy jó irányból nézzünk rá az ábrára. Az ábra nézőpontjait a `view_init` függvény segítségével tudjuk megadni. A `view_init` két paramétere [ekvatoriális gömbi koordinátarendszerben](https://hu.wikipedia.org/wiki/Koordin%C3%A1ta-rendszer) adja meg az ábra nézőpontját. A két bemenő paraméter a deklináció és az azimutszög fokban mérve. Például az $x$-tengely felől így lehet készíteni ábrát:" ] }, { "cell_type": "code", "metadata": { "id": "dimeeJpraIN_", "colab_type": "code", "colab": {}, "outputId": "707ecd0b-0aad-4e31-e6c5-4ec5ba7bdcc9" }, "source": [ "ax=subplot(1,1,1,projection='3d') #térbeli koordináta tengely létrehozása\n", "ax.plot(cos(3*t),sin(3*t),t)\n", "ax.view_init(0,0)" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "5DdOcDbFaIOB", "colab_type": "text" }, "source": [ "Az $y$-tengely felől pedig így:" ] }, { "cell_type": "code", "metadata": { "id": "R1-yKAjDaIOB", "colab_type": "code", "colab": {}, "outputId": "53e649a9-4627-4993-8bf6-9d45e3be6256" }, "source": [ "ax=subplot(1,1,1,projection='3d') #térbeli koordináta tengely létrehozása\n", "ax.plot(cos(3*t),sin(3*t),t)\n", "ax.view_init(0,90)" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "WBKOoUESaIOD", "colab_type": "text" }, "source": [ "Ha interaktív függvényeket használunk, akkor a nézőpontot az alábbiak szerint interaktívan tudjuk változtatni:" ] }, { "cell_type": "code", "metadata": { "id": "ZrJJ2fPgaIOE", "colab_type": "code", "colab": {}, "outputId": "4b69b2ed-d580-4fb0-a1de-714c0d9bbc22" }, "source": [ "\n", "def forog(th,phi):\n", " ax=subplot(1,1,1,projection='3d')\n", " ax.plot(sin(3*t),cos(3*t),t)\n", " ax.view_init(th,phi)\n", "\n", "interact(forog,th=(-90,90),phi=(0,360));" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3ee6b13915bb4716a8569794260ad152", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='th', max=90, min=-90), IntSlider(value=180, description=…" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "SZ1NWnKoaIOG", "colab_type": "text" }, "source": [ "## Kétváltozós függvények és felületek" ] }, { "cell_type": "markdown", "metadata": { "id": "teK8-abqaIOG", "colab_type": "text" }, "source": [ "A térbeli ábrák egyik előnye, hogy térbeli felületeket is meg tudunk jeleníteni. Ennek a legegyszerűbb esete a kétváltozós\n", "$$z=f(x,y)$$\n", " függvények magasságtérképszerű ábrázolása. Ahogy azt már megszoktuk, itt is az első feladat a mintavételezés és a függvény kiértékelése. Az alábbiakban vizsgáljuk meg a $$z=-[\\sin(x) ^{10} + \\cos(10 + y x) \\cos(x)]\\exp((-x^2-y^2)/4)$$ függvényt!" ] }, { "cell_type": "code", "metadata": { "id": "-amMV-zEaIOH", "colab_type": "code", "colab": {} }, "source": [ "x,y = meshgrid(linspace(-3,3,250),linspace(-5,5,250)) # mintavételezési pontok legyártása.\n", "z = -(sin(x) ** 10 + cos(10 + y * x) * cos(x))*exp((-x**2-y**2)/4) # függvény kiértékelés" ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "G5mB4I6JaIOJ", "colab_type": "text" }, "source": [ "A `plot_surface` függvény segítségével jeleníthetjük meg ezt a függvényt." ] }, { "cell_type": "code", "metadata": { "id": "cUNJyxnXaIOJ", "colab_type": "code", "colab": {}, "outputId": "120c79b5-2fba-4ee0-b588-3478768a1f12" }, "source": [ "ax = subplot(111, projection='3d')\n", "ax.plot_surface(x, y, z)" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 10 }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "m284wB34aIOL", "colab_type": "text" }, "source": [ "Sokszor szemléletes a kirajzolódott felületet valamilyen színskála szerint színezni. Ezt a síkbeli ábráknál már megszokott módon a `cmap` kulcsszó segítségével tehetjük." ] }, { "cell_type": "code", "metadata": { "id": "F5tvfmNhaIOM", "colab_type": "code", "colab": {}, "outputId": "79784d37-8e2b-4935-f4c1-081e3fa3eee5" }, "source": [ "ax = subplot(111, projection='3d')\n", "ax.plot_surface(x, y, z,cmap='viridis')" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 11 }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "slS0Ix1MaIOO", "colab_type": "text" }, "source": [ "A térbeli felületek legáltalánosabb megadása kétparaméteres vektor értékű függvényekkel lehetséges. Azaz \n", "\n", "\\begin{equation}\n", "\\mathbf{r}(u,v)=\\left(\\begin{array}{c}\n", "f(u,v)\\\\\n", "g(u,v)\\\\\n", "h(u,v)\n", "\\end{array}\\right)\n", "\\end{equation}\n", "\n", "Vizsgáljunk meg erre egy példát, ahol a megjeleníteni kívánt felület egy tórusz! A [tórusz](https://hu.wikipedia.org/wiki/T%C3%B3rusz) egy lehetséges paraméterezése a következő:\n", "\n", "\\begin{equation}\n", "\\mathbf{r}(\\theta,\\varphi)=\\left(\\begin{array}{c}\n", "(R_1 + R_2 \\cos \\theta) \\cos{\\varphi}\\\\\n", "(R_1 + R_2 \\cos \\theta) \\sin{\\varphi} \\\\\n", "R_2 \\sin \\theta\n", "\\end{array}\\right)\n", "\\end{equation}\n", "\n", "Itt $R_1$ és $R_2$ a tórusz két sugarának paramétere, $\\theta$ és $\\varphi$ pedig mind a ketten a $[0,2\\pi]$ intervallumon futnak végig. Legyen $R_1=4$ és $R_2=1$. Rajzoljuk ki ezt a felületet! Első lépésként gyártsuk le az ábrázolandó felület pontjait:\n" ] }, { "cell_type": "code", "metadata": { "id": "ird97feHaIOP", "colab_type": "code", "colab": {} }, "source": [ "theta,phi=meshgrid(linspace(0,2*pi,250),linspace(0,2*pi,250))\n", "x=(4 + 1*cos(theta))*cos(phi)\n", "y=(4 + 1*cos(theta))*sin(phi) \n", "z=1*sin(theta)" ], "execution_count": 0, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "81J3L6vxaIOQ", "colab_type": "text" }, "source": [ "Ábrázolni ismét a `plot_surface` függvény segítségével tudunk:" ] }, { "cell_type": "code", "metadata": { "id": "c1j3SsoPaIOR", "colab_type": "code", "colab": {}, "outputId": "73f64a70-4842-42fb-bce7-52f238fab537" }, "source": [ "ax = subplot(111, projection='3d')\n", "ax.plot_surface(x, y, z)" ], "execution_count": 0, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 17 }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "DyEsy5eOaIOV", "colab_type": "text" }, "source": [ "A fenti ábrát egy kicsit arányosabbá tehetjük, ha a tengelyek megjelenítésének arányát, illetve a tengerek határait átállítjuk. Ezt a `set_aspect`, illetve a `set_xlim`, `set_ylim` és `set_zlim` függvények segítségével tehetjük meg:" ] }, { "cell_type": "code", "metadata": { "id": "aScaiT6yaIOW", "colab_type": "code", "colab": {}, "outputId": "9c9016b2-3dfe-4291-c4a1-79f135002499" }, "source": [ "ax = subplot(111, projection='3d')\n", "ax.plot_surface(x, y, z)\n", "ax.set_aspect('equal');\n", "ax.set_xlim(-5,5);\n", "ax.set_ylim(-5,5);\n", "ax.set_zlim(-5,5);" ], "execution_count": 0, "outputs": [ { "output_type": "error", "ename": "NotImplementedError", "evalue": "It is not currently possible to manually set the aspect on 3D axes", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNotImplementedError\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 1\u001b[0m \u001b[0max\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msubplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m111\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mprojection\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'3d'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot_surface\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mz\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_aspect\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'equal'\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[0m\u001b[0;32m 4\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_xlim\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m5\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m5\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[0;32m 5\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_ylim\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m5\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m5\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;32m~\\Anaconda3\\lib\\site-packages\\matplotlib\\axes\\_base.py\u001b[0m in \u001b[0;36mset_aspect\u001b[1;34m(self, aspect, adjustable, anchor, share)\u001b[0m\n\u001b[0;32m 1279\u001b[0m \u001b[1;32mif\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;32mnot\u001b[0m \u001b[0mcbook\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_str_equal\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0maspect\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'auto'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mname\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;34m'3d'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 1280\u001b[0m raise NotImplementedError(\n\u001b[1;32m-> 1281\u001b[1;33m \u001b[1;34m'It is not currently possible to manually set the aspect '\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 1282\u001b[0m 'on 3D axes')\n\u001b[0;32m 1283\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNotImplementedError\u001b[0m: It is not currently possible to manually set the aspect on 3D axes" ] }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "Et-L3dZ4aIOY", "colab_type": "text" }, "source": [ "Végül tegyük ezt az ábrát is interaktívvá:" ] }, { "cell_type": "code", "metadata": { "scrolled": true, "id": "DOurvDrKaIOY", "colab_type": "code", "colab": {}, "outputId": "a97353c2-dddd-4d78-94c3-d5d439466e4d" }, "source": [ "def forog(th,ph):\n", " ax = subplot(111, projection='3d')\n", " ax.plot_surface(x, y, z)\n", " ax.view_init(th,ph)\n", " ax.set_aspect('equal');\n", " ax.set_xlim(-5,5);\n", " ax.set_ylim(-5,5);\n", " ax.set_zlim(-5,5);\n", "\n", "interact(forog,th=(-90,90),ph=(0,360));" ], "execution_count": 0, "outputs": [ { "output_type": "display_data", "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "aed54214b4374500be6e151979d4fa5a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='th', max=90, min=-90), IntSlider(value=180, description=…" ] }, "metadata": { "tags": [] } }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "id": "HtzFcObyaIOa", "colab_type": "text" }, "source": [ "## Erőterek 3D-ben" ] }, { "cell_type": "markdown", "metadata": { "id": "juQgZs-HaIOb", "colab_type": "text" }, "source": [ "Térbeli vektortereket, azaz olyan függvényeket, amelyek a tér minden pontjához egy háromdimenziós vektort rendelnek, a síkbeli ábrákhoz hasonlóan itt is a quiver parancs segítségével tudunk megjeleníteni. Az alábbi példában az egységgömb felületének 100 pontjába rajzolunk egy-egy radiális irányba mutató vektort:" ] }, { "cell_type": "code", "metadata": { "id": "Xm2V3Fq4aIOd", "colab_type": "code", "colab": {} }, "source": [ "phiv,thv=(2*pi*rand(100),pi*rand(100)) #Ez a két sor a térbeli egység gömb \n", "xv,yv,zv=(cos(phiv)*sin(thv),sin(phiv)*sin(thv),cos(thv)) #100 véletlen pontját jelöli ki\n", "uv,vv,wv=(xv,yv,zv) #Ez pedig a megfelelő pontokhoz hozzá rendel egy egy radiális vektort" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "88ulRJfKaIOg", "colab_type": "code", "colab": {}, "outputId": "46fcaf05-5fa1-4288-9d56-ef93cd415cb0" }, "source": [ "ax = subplot(111, projection='3d')\n", "ax.quiver(xv, yv, zv, uv, vv, wv, length=0.3,color='darkcyan')\n", "ax.set_aspect('equal')" ], "execution_count": 0, "outputs": [ { "output_type": "error", "ename": "NotImplementedError", "evalue": "It is not currently possible to manually set the aspect on 3D axes", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNotImplementedError\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 1\u001b[0m \u001b[0max\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msubplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m111\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mprojection\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'3d'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mquiver\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mxv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0myv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mzv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0muv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mvv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mlength\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0.3\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mcolor\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'darkcyan'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0max\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_aspect\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'equal'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m~\\Anaconda3\\lib\\site-packages\\matplotlib\\axes\\_base.py\u001b[0m in \u001b[0;36mset_aspect\u001b[1;34m(self, aspect, adjustable, anchor, share)\u001b[0m\n\u001b[0;32m 1279\u001b[0m \u001b[1;32mif\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;32mnot\u001b[0m \u001b[0mcbook\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_str_equal\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0maspect\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'auto'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mname\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;34m'3d'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 1280\u001b[0m raise NotImplementedError(\n\u001b[1;32m-> 1281\u001b[1;33m \u001b[1;34m'It is not currently possible to manually set the aspect '\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 1282\u001b[0m 'on 3D axes')\n\u001b[0;32m 1283\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNotImplementedError\u001b[0m: It is not currently possible to manually set the aspect on 3D axes" ] }, { "output_type": "display_data", "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "code", "metadata": { "id": "eD_My38TaIOi", "colab_type": "code", "colab": {} }, "source": [ "" ], "execution_count": 0, "outputs": [] } ] }