{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import numpy.random as rnd\n",
    "import lmfit as lm\n",
    "import lmfit.models as mod\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fadfb672ed0>"
      ]
     },
     "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": [
    "x=np.arange(0,1,0.05)\n",
    "ym=3*x+2\n",
    "y=ym+rnd.normal(scale=0.3, size=len(ym))\n",
    "plt.plot(x,ym,label='modello')\n",
    "plt.plot(x,y,label='dati')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.21691514 1.83234617]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fadfb6fb7d0>"
      ]
     },
     "execution_count": 5,
     "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": [
    "fit1=np.polyfit(x,y,1)\n",
    "print(fit1)\n",
    "polinomio=np.poly1d(fit1)\n",
    "valori_fit=polinomio(x)\n",
    "plt.plot(x,y, label='dati')\n",
    "plt.plot(x,valori_fit, label='fit')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fadf9424610>"
      ]
     },
     "execution_count": 6,
     "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": [
    "x=np.arange(0,1,0.05)\n",
    "ym=x*x+3*x+2\n",
    "y=ym+rnd.normal(scale=0.3, size=len(y))\n",
    "plt.plot(x,ym,label='modello')\n",
    "plt.plot(x,y,label='dati')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.419108   3.45043231 1.90899195]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fadf948b7d0>"
      ]
     },
     "execution_count": 7,
     "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": [
    "fit2=np.polyfit(x,y,2)\n",
    "print(fit2)\n",
    "polinomio=np.poly1d(fit2)\n",
    "valori_fit=polinomio(x)\n",
    "plt.plot(x,y, label='dati')\n",
    "plt.plot(x,valori_fit, label='fit')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fadfb55c1d0>,\n",
       " <matplotlib.lines.Line2D at 0x7fadfb56b4d0>]"
      ]
     },
     "execution_count": 8,
     "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": [
    "regr=np.zeros((len(x),2))\n",
    "regr[:,0]=x\n",
    "regr[:,1]=x*x\n",
    "plt.plot(x,np.ones(len(x)))\n",
    "plt.plot(x,regr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mo = LinearRegression(fit_intercept=True)\n",
    "mo.fit(regr, y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercetta 1.9089919471837535\n",
      "coeff: [3.45043231 0.419108  ]\n"
     ]
    }
   ],
   "source": [
    "print('intercetta',mo.intercept_)\n",
    "print('coeff:', mo.coef_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**un modello più complesso**\n",
    "\n",
    "$y=a+b x+c \\cos(2 \\pi x)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fadf940b990>"
      ]
     },
     "execution_count": 11,
     "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": [
    "x=np.arange(0,1,0.05)\n",
    "ym=3*x+2+np.cos(2*x*np.pi)\n",
    "y=ym+rnd.normal(scale=0.3, size=len(y))\n",
    "plt.plot(x,ym,label='modello')\n",
    "plt.plot(x,y,label='dati')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coeff: [2.04304013 3.02529936 1.20579496]\n"
     ]
    }
   ],
   "source": [
    "regr=np.zeros((len(x),3))\n",
    "regr[:,0]=1\n",
    "regr[:,1]=x\n",
    "regr[:,2]=np.cos(2*x*np.pi)\n",
    "mo = LinearRegression(fit_intercept=False)\n",
    "mo.fit(regr, y)\n",
    "print('coeff:', mo.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r^2 0.9678564165873927\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yf=mo.predict(regr)\n",
    "plt.plot(x, y, '*')\n",
    "plt.plot(x, yf)\n",
    "print('r^2', mo.score(regr,y))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**non più lineare**\n",
    "\n",
    "$y=a+b*e^{-x/c}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fadf7308a10>]"
      ]
     },
     "execution_count": 14,
     "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": [
    "ym=2+3*np.exp(-x)\n",
    "y=ym+3*np.exp(-x)*rnd.normal(scale=0.2, size=len(ym))\n",
    "plt.plot(x,ym)\n",
    "plt.plot(x,y,'*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def expfun(x, a, b, c):\n",
    "    return a+b*np.exp(-c*x)\n",
    "\n",
    "expmodel = lm.Model(expfun)\n",
    "result = expmodel.fit(y, x=x, a=1, b=1, c=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[Model]]\n",
      "    Model(expfun)\n",
      "[[Fit Statistics]]\n",
      "    # fitting method   = leastsq\n",
      "    # function evals   = 171\n",
      "    # data points      = 20\n",
      "    # variables        = 3\n",
      "    chi-square         = 2.67043899\n",
      "    reduced chi-square = 0.15708465\n",
      "    Akaike info crit   = -34.2697880\n",
      "    Bayesian info crit = -31.2825912\n",
      "    R-squared          = 0.74585913\n",
      "[[Variables]]\n",
      "    a: -13.9468409 +/- 163.950163 (1175.54%) (init = 1)\n",
      "    b:  19.0207197 +/- 163.780819 (861.07%) (init = 1)\n",
      "    c:  0.12083474 +/- 1.10254732 (912.44%) (init = 1)\n",
      "[[Correlations]] (unreported correlations are < 0.100)\n",
      "    C(a, b) = -1.000\n",
      "    C(a, c) = 1.000\n",
      "    C(b, c) = -1.000\n"
     ]
    }
   ],
   "source": [
    "print(result.fit_report())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fadf71b3310>]"
      ]
     },
     "execution_count": 17,
     "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": [
    "result.plot_fit()\n",
    "plt.plot(x,result.init_fit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "result.params"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**esercizio**\n",
    "\n",
    "ora implementate il vostro problema non lineare:\n",
    "- elaborate un modello, per esempio $y=a \\cos(b+c*x)$\n",
    "- traducetelo in una funzione\n",
    "- create un set di dati (x,y)\n",
    "- analizzate i dati e decidete il valore iniziale dei parametri\n",
    "- create ed adattate il modello"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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": 4
}
