{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7a7075c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Инициализация\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "plt.style.use('ff.mplstyle')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9fa93ff0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1. Простейший график (раздел 3.3)\n",
    "\n",
    "t = [1, 2, 3, 4, 5]                        # с\n",
    "x = [0.2415, 0.276, 0.3335, 0.414, 0.5175] # м\n",
    "\n",
    "plt.scatter(t, x)\n",
    "plt.xlabel(\"t, c\")\n",
    "plt.ylabel(\"x, м\")\n",
    "plt.savefig(\"example_1_simple.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "db857483",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2. Простой график с погрешностями (раздел 3.4)\n",
    "\n",
    "m = [0.003005, 0.00635, 0.01017, 0.01291, 0.01613, 0.02551] # кг\n",
    "f = [0.029, 0.0303, 0.0309, 0.0319, 0.0328, 0.0344]         # Н\n",
    "df = [0.0022, 0.0046, 0.003, 0.0025, 0.002, 0.0014]         # Н\n",
    "\n",
    "m = np.array(m)\n",
    "m = m * 1e3  # кг -> г\n",
    "\n",
    "plt.errorbar(m, f, yerr=df, fmt='o', capsize=5)\n",
    "plt.xlabel('m, г')\n",
    "plt.ylabel('<f>, Н')\n",
    "plt.title('Зависимость средней силы удара от массы пули')\n",
    "plt.savefig('example_2_errors.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "050c12d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 3. Несколько графиков на одних осях (раздел 3.5)\n",
    "\n",
    "x = [0.2, 0.4, 0.6, 0.8, 1.0]                  # м\n",
    "v2_1 = np.array([9, 18, 26, 29, 42]) * 1e-3    # м^2/с^2\n",
    "v2_2 = np.array([15, 34, 47, 65, 85]) * 1e-3   # м^2/с^2\n",
    "v2_3 = np.array([20, 49, 75, 95, 127]) * 1e-3  # м^2/с^2\n",
    "\n",
    "plt.scatter(x, v2_1, label=r'$\\alpha = 0.11^\\circ$')\n",
    "plt.scatter(x, v2_2, label=r'$\\alpha = 0.23^\\circ$')\n",
    "plt.scatter(x, v2_3, label=r'$\\alpha = 0.37^\\circ$')\n",
    "plt.xlim(xmin=0)\n",
    "plt.ylim(ymin=1e-6)\n",
    "plt.xlabel('$x$, м')\n",
    "plt.ylabel(r'$v^2, \\frac{м^2}{c^2}$')\n",
    "plt.title('Зависимость квадрата скорости тележки $v^2$ \\n от пройденного ей расстояния $x$. Случай тележки без груза')\n",
    "plt.legend(title='Наклон скамьи')\n",
    "plt.savefig('example_3_sameaxis.pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6c19f770",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 4. Несколько графиков на разных осях (раздел 3.6)\n",
    "\n",
    "I = [0.06, 0.1, 0.15, 0.21, 0.28, 0.35, 0.43, 0.5, 0.58, 0.65, 0.73, 0.81, 0.89, 0.96, 1.04, 1.11, 1.19, 1.27, 1.34] # mV\n",
    "U = [320, 415, 490, 536, 557, 567, 573, 579, 583, 587, 590, 593, 595, 598, 600, 602, 604, 606, 607] # mA\n",
    "\n",
    "fig, axes = plt.subplots(2, 1, figsize=(5, 8), sharex=True, gridspec_kw=dict(hspace=0.05))\n",
    "ax1, ax2 = axes\n",
    "\n",
    "ax1.scatter(U, I)\n",
    "ax1.set_title('ВАХ полупроводникового диода')\n",
    "ax1.set_ylabel('I, мА')\n",
    "ax1.set_ylim(ymin=0, ymax=1.4)\n",
    "\n",
    "I = np.array(I)\n",
    "ax2.scatter(U, np.log(I))\n",
    "ax2.set_xlabel('U, мВ')\n",
    "ax2.set_ylabel('ln I')\n",
    "ax2.set_xlim(xmin=300, xmax=650)\n",
    "ax2.set_ylim(-3, 0.5)\n",
    "\n",
    "fig.savefig('example_4_multipleaxes.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fead24cc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.04081818181818182 6.818181818181817e-08\n",
      "0.9663928082395666\n",
      "0.08263636363636363 6.818181818181817e-08\n",
      "0.9943104430301379\n",
      "0.12345454545454544 6.818181818181817e-08\n",
      "0.9926724230283033\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 5. Случай пропорциональной зависимости (раздел 3.7.1)\n",
    "\n",
    "x = np.array([0.2, 0.4, 0.6, 0.8, 1.0])       # м\n",
    "v2_1 = np.array([9, 18, 26, 29, 42]) * 1e-3   # м^2/с^2\n",
    "v2_2 = np.array([15, 34, 47, 65, 85]) * 1e-3  # м^2/с^2\n",
    "v2_3 = np.array([20, 49, 75, 95, 127]) * 1e-3 # м^2/с^2\n",
    "plt.scatter(x, v2_1, label=r'$\\alpha = 0.11^\\circ$')\n",
    "plt.scatter(x, v2_2, label=r'$\\alpha = 0.23^\\circ$')\n",
    "plt.scatter(x, v2_3, label=r'$\\alpha = 0.37^\\circ$')\n",
    "\n",
    "xx = np.linspace(0, 1.1, 100)\n",
    "for y in [v2_1, v2_2, v2_3]:\n",
    "    s0 = 1.5e-7\n",
    "    a = np.sum(x * y) / np.sum(x**2)\n",
    "    Sa = np.sqrt(s0**2 / (np.sum(x**2))**2)\n",
    "    print(a, Sa)\n",
    "    \n",
    "    ym = np.mean(y)\n",
    "    SSres = np.sum((y - a*x)**2)\n",
    "    SStot = np.sum((y - ym)**2)\n",
    "    R2 = 1 - SSres / SStot\n",
    "    print(R2)\n",
    "    \n",
    "    plt.plot(xx, a*xx, label=fr'{a =: .2e} $\\pm$ {Sa:.2e};  $R^2$ = {R2:.3f}')\n",
    "\n",
    "plt.xlim(xmin=0)\n",
    "plt.ylim(ymin=1e-6)\n",
    "plt.xlabel('$x$, м')\n",
    "plt.ylabel(r'$v^2, \\frac{м^2}{c^2}$')\n",
    "plt.xticks([0, 0.25, 0.5, 0.75, 1])\n",
    "plt.title('Зависимость квадрата скорости тележки $v^2$ \\n от пройденного ей расстояния $x$. Случай тележки без груза')\n",
    "plt.legend(title='Наклон скамьи')\n",
    "plt.savefig('example_5_proportionality.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d51debee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a = 0.232018 +- 0.105140\n",
      "b = 0.028635 +- 0.001943\n",
      "r = 0.988887\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 6. Случай линейной зависимости (раздел 3.7.2)\n",
    "\n",
    "m = np.array([0.003005, 0.00635, 0.01017, 0.01291, 0.01613, 0.02551]) # кг\n",
    "f = np.array([0.029, 0.0303, 0.0309, 0.0319, 0.0328, 0.0344]) # Н\n",
    "df = np.array([0.0022, 0.0046, 0.003, 0.0025, 0.002, 0.0014]) # Н\n",
    "plt.errorbar(m, f, yerr=df, fmt='o', capsize=5)\n",
    "\n",
    "x, y, dy = m, f, df\n",
    "\n",
    "def func(x, a, b): return a * x + b\n",
    "popt, pcov = curve_fit(func, x, y, p0=[y[0]/x[0], y[0]], sigma=dy, absolute_sigma=1)\n",
    "a, b = popt\n",
    "Sa, Sb = np.sqrt(np.diag(pcov))\n",
    "print(f'{a = :f} +- {Sa:f}')\n",
    "print(f'{b = :f} +- {Sb:f}')\n",
    "\n",
    "xx = np.linspace(0, 0.03, 100)\n",
    "plt.plot(xx, a*xx+b, zorder=1000)\n",
    "\n",
    "xm, ym = np.mean(x), np.mean(y)\n",
    "r = np.sum( (x-xm)*(y-ym) ) / np.sqrt( np.sum((x-xm)**2) * np.sum((y-ym)**2) )\n",
    "print(f'{r = :f}')\n",
    "\n",
    "plt.xlabel('m, г')\n",
    "plt.ylabel('<f>, Н')\n",
    "plt.title('Зависимость средней силы удара от массы пули')\n",
    "plt.savefig('example_6_linear.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4377abf0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   w0 =  3.490206 +- 0.002606\n",
      "delta =  0.072659 +- 0.003098\n",
      "   f0 =  0.445524 +- 0.012464\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 7. График с нелинейной регрессией (раздел 3.8)\n",
    "\n",
    "x = [3.05, 3.1, 3.15, 3.2, 3.25, 3.31, 3.36, 3.4, 3.41, 3.46, 3.5, 3.52, 3.55, 3.56, 3.61, 3.65, 3.66, 3.7, 3.71, 3.76, 3.81, 3.81, 3.85, 3.91, 4.01]\n",
    "y = [0.16, 0.17, 0.21, 0.26, 0.29, 0.31, 0.47, 0.55, 0.62, 0.78, 0.85, 0.88, 0.64, 0.64, 0.39, 0.34, 0.32, 0.25, 0.28, 0.22, 0.17, 0.22, 0.18, 0.14, 0.12]\n",
    "# x, кГц; y, см\n",
    "\n",
    "plt.scatter(x, y, color='k')\n",
    "\n",
    "def amp(w, w0, delta, f0):\n",
    "    return f0 / np.sqrt( (w0**2 - w**2)**2 + 4 * delta**2 * w**2 )\n",
    "\n",
    "popt, pcov = curve_fit(amp, x, y, p0=(3.5, 0.5, 1))\n",
    "w0, delta, f0 = popt\n",
    "Sw0, Sdelta, Sf0 = np.sqrt(np.diag(pcov))\n",
    "print(f'{   w0 = : f} +- {Sw0:f}')\n",
    "print(f'{delta = : f} +- {Sdelta:f}')\n",
    "print(f'{   f0 = : f} +- {Sf0:f}')\n",
    "\n",
    "xx = np.linspace(3, 4, 200)\n",
    "plt.plot(xx, amp(xx, *popt), color='r')\n",
    "\n",
    "plt.xlabel(r'Частота $\\omega$, Гц')\n",
    "plt.ylabel('Амплитуда А, см')\n",
    "plt.title('Амплитудно-частотная характеристика пружинного маятника')\n",
    "plt.savefig('example_7_nonlinear.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f89af5b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 8. График в полярных координатах (раздел 3.9)\n",
    "\n",
    "alpha = np.arange(0, 180, 15) * 3.14 / 180  # рад\n",
    "J =  [34.932, 35.605, 38.659, 43.843, 52.709, 62.682, 67.729, 66.948, 55.613, 45.787, 38.473, 36.451] # кг*м^2\n",
    "Jt = [46.578, 47.585, 50.706, 56.572, 63.896, 72.126, 76.043, 72.126, 63.896, 56.172, 50.706, 47.585] # кг*м^2\n",
    "\n",
    "fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})\n",
    "\n",
    "ax.plot(alpha, J, 'o', color='C0', label='эксперимент')\n",
    "ax.plot(alpha + 3.14, J, 'o', color='C0')\n",
    "ax.plot(alpha, Jt, 'o', color='C1', label='расчёт')\n",
    "ax.plot(alpha + 3.14, Jt, 'o', color='C1')\n",
    "\n",
    "ax.set_rlim(0, 80)\n",
    "ax.set_rticks([20, 40, 60])  # Меньше делений\n",
    "ax.set_rlabel_position(-90)  # Угол для подписей к делениям\n",
    "ax.grid(True)\n",
    "ax.legend(loc=(0.8,0.94))\n",
    "\n",
    "ax.set_title('Сечение эллипсоида инерции для тела, \\nсостоящего из стержней и шаров')\n",
    "fig.savefig('example_8_polar.pdf', bbox_inches='tight')"
   ]
  }
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