{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "98842af9-a52f-45b7-8693-b7943041f646",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import lmfit\n",
    "import scipy.optimize as opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d2955899-bd3c-4b1e-bea7-b068ef26e06e",
   "metadata": {},
   "outputs": [],
   "source": [
    "dati=np.genfromtxt('en.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "42fcc705-c746-43b4-bed0-76bb619fdc0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "r=dati[:,0]\n",
    "en=dati[:,2]+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1b183cd4-f7ca-48cf-a2e2-9673b892d3bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fdc3670fb50>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(r,en,'-*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "77e91513-68af-443e-bff6-8520c8d5575a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def V_arm(r, c, k, r0):\n",
    "    return c+k/2*(r-r0)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0ca0adc6-f39d-4f0e-ba73-cadd4476a53a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def V_LJ(r, D, r0):\n",
    "    return D*((r0/r)**12-2*(r0/r)**6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5c38700c-7080-40c7-ba36-3918fbc41cad",
   "metadata": {},
   "outputs": [],
   "source": [
    "def V_morse(r, D, a, r0):\n",
    "    er=np.exp(-a*(r-r0))\n",
    "    return D*(er*er-2*er)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef70d7b0-cfc9-4731-9cad-67e01496a637",
   "metadata": {},
   "source": [
    "## prima strategia\n",
    "usare opt.curve_fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f4800a89-5b80-4fd3-b371-9ea236801cbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.1669821 ,  1.06119073,  0.7750688 ])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_arm0 = [-0.15, 0.5, 0.5]  # for [amp, cen, wid]\n",
    "p_arm, covar = opt.curve_fit(V_arm, r[1:6], en[1:6], p0=p_arm0)\n",
    "p_arm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c25248d8-aa76-40fe-9ddd-61d4da70eb14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdc36794090>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(r,en,'-*')\n",
    "c,k,r0=p_arm\n",
    "plt.plot(r[:10],V_arm(r[:10], *p_arm0), label=\"iniziale\")\n",
    "plt.plot(r[:10],V_arm(r[:10], *p_arm), label=\"fit\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1a6411c8-2f74-49fa-8bcb-517f482b84f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.27833208, 0.55282941])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_LJ0 = [0.15,0.9]  # for [amp, cen, wid]\n",
    "p_LJ, covar = opt.curve_fit(V_LJ, r, en, p0=p_LJ0)\n",
    "p_LJ\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2224a058-49d1-4635-b03a-17ab33cc8da9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.17141673, 2.14436397, 0.73954143])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p_morse0= [0.15, 1, 0.6]\n",
    "p_morse, covar = opt.curve_fit(V_morse, r, en, p0=p_morse0)\n",
    "p_morse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6ac87b87-eb16-4650-b598-a3e1346b0ad1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fdc366f41d0>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(r, en)\n",
    "plt.plot(r, V_LJ(r, *p_LJ))\n",
    "plt.plot(r, V_morse(r, *p_morse))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42c63385-6424-4635-881e-fc9dcf0b5b8d",
   "metadata": {},
   "source": [
    "## seconda strategia\n",
    "usare i modelli di lmfit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3d714ca0-6e01-49d1-a46c-dddac1c3c08b",
   "metadata": {},
   "outputs": [],
   "source": [
    "morse=lmfit.Model(V_morse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "10af706f-5d40-45cd-af9f-162ef1ba16c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th> name </th><th> value </th><th> initial value </th><th> min </th><th> max </th><th> vary </th></tr><tr><td> D </td><td>  0.15000000 </td><td> None </td><td>        -inf </td><td>         inf </td><td> True </td></tr><tr><td> a </td><td>  1.00000000 </td><td> None </td><td>        -inf </td><td>         inf </td><td> True </td></tr><tr><td> r0 </td><td>  0.60000000 </td><td> None </td><td>        -inf </td><td>         inf </td><td> True </td></tr></table>"
      ],
      "text/plain": [
       "Parameters([('D', <Parameter 'D', value=0.15, bounds=[-inf:inf]>), ('a', <Parameter 'a', value=1, bounds=[-inf:inf]>), ('r0', <Parameter 'r0', value=0.6, bounds=[-inf:inf]>)])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P_morse=morse.make_params(D=0.15, a=1, r0=0.6)\n",
    "P_morse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "cb4d4ccb-5a7c-484e-a304-5edace3293fd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[Model]]\n",
      "    Model(V_morse)\n",
      "[[Fit Statistics]]\n",
      "    # fitting method   = leastsq\n",
      "    # function evals   = 43\n",
      "    # data points      = 31\n",
      "    # variables        = 3\n",
      "    chi-square         = 2.2150e-04\n",
      "    reduced chi-square = 7.9107e-06\n",
      "    Akaike info crit   = -361.321521\n",
      "    Bayesian info crit = -357.019559\n",
      "    R-squared          = 0.99789490\n",
      "[[Variables]]\n",
      "    D:   0.17141673 +/- 0.00145898 (0.85%) (init = 0.15)\n",
      "    a:   2.14436397 +/- 0.02365427 (1.10%) (init = 1)\n",
      "    r0:  0.73954143 +/- 0.00291324 (0.39%) (init = 0.6)\n",
      "[[Correlations]] (unreported correlations are < 0.100)\n",
      "    C(D, a)  = 0.635\n",
      "    C(a, r0) = -0.286\n",
      "    C(D, r0) = -0.192\n"
     ]
    }
   ],
   "source": [
    "fit=morse.fit(en, P_morse, r=r)\n",
    "print(fit.fit_report())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "dc8df395-a295-4805-ac2b-73e68b9cecf9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(r,en, '-*', label='dati')\n",
    "plt.plot(r, fit.init_fit, label='parametri iniziali')\n",
    "plt.plot(r, fit.best_fit, label='parametri ottimali')\n",
    "plt.legend()\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4d394ec-bf2b-44f6-bc4a-505c63a320a8",
   "metadata": {},
   "source": [
    "## esercizio\n",
    "il potenziale LJ è un caso particolare del potenziale di Mie:\n",
    "$$ V_\\mbox{mie}=D\\left(\\left(\\frac{r_0}{r}\\right)^{2n}-2\\left(\\frac{r_0}{r}\\right)^n\\right)$$\n",
    "con $n=6$, provare diversi valori di $n$ e identificare il più adatto a rappresentare i dati."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72ae34de",
   "metadata": {},
   "source": [
    "## altre possibilità\n",
    "Qui sotto proviamo un LJ modificato con un parametro di shift."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "52c3cc6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def V_LJS(r, D, r0, s):\n",
    "    rc=r+s\n",
    "    return D*((r0/rc)**12-2*(r0/rc)**6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "48258ea2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th> name </th><th> value </th><th> initial value </th><th> min </th><th> max </th><th> vary </th></tr><tr><td> D </td><td>  0.15000000 </td><td> None </td><td>        -inf </td><td>         inf </td><td> True </td></tr><tr><td> r0 </td><td>  0.60000000 </td><td> None </td><td>        -inf </td><td>         inf </td><td> True </td></tr><tr><td> s </td><td>  0.00000000 </td><td> None </td><td>        -inf </td><td>         inf </td><td> True </td></tr></table>"
      ],
      "text/plain": [
       "Parameters([('D', <Parameter 'D', value=0.15, bounds=[-inf:inf]>), ('r0', <Parameter 'r0', value=0.6, bounds=[-inf:inf]>), ('s', <Parameter 's', value=0, bounds=[-inf:inf]>)])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "LJS=lmfit.Model(V_LJS)\n",
    "P_LJS=LJS.make_params(D=0.15, r0=0.6, s=0)\n",
    "P_LJS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "c823e926",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_LJS=LJS.fit(en, P_LJS, r=r)\n",
    "plt.plot(r,en, '-*', label='dati')\n",
    "plt.plot(r, fit_LJS.best_fit, label='parametri ottimali')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "c15ced3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'D': 0.17559990911363088, 'r0': 2.4638231051168313, 's': 1.7552328425265786}"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit_LJS.best_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d958c81e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
