{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Determinazione della distribuzione di probabilità di parametri sperimentali**\n",
    "\n",
    "*griglia di sensori*\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import poisson\n",
    "from numpy import random as rnd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp=np.arange(-10,11)\n",
    "A=1.0\n",
    "B=1.0\n",
    "def modello(a,b):\n",
    "    return a+b*np.exp(-sp*sp/16)\n",
    "modello_base=modello(A,B)\n",
    "plt.plot(sp, modello_base,'o')\n",
    "plt.bar(sp,0.2, width=0.2, color='r')\n",
    "_=plt.xticks(sp[::2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "il modello del segnale è quello di eventi casuali indipendenti con \n",
    "$$\\frac{\\lambda}{s}=A+B e^{-\\frac {x^2} {16}}$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "$$ P({\\bf n}| A,B) = \\prod_i P(n_i| A,B) = \n",
    "\\prod_i P_{\\text{poisson}}(n_i|\\lambda_i(A,B))$$\n",
    "\n",
    "$$\\log(P({\\bf n}| A,B)=\\sum_i \\log(P_{\\text{poisson}}(n_i| A+B e^{-\\frac{i^2}{16}}) $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([34, 32, 56, 52, 45, 51, 61, 53, 71, 84, 83, 71, 78, 60, 53, 51, 47,\n",
       "       25, 43, 27, 34])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "T=40\n",
    "#dati=[rnd.poisson(l*T) for l in modello_base]\n",
    "dati=rnd.poisson(modello_base*T)\n",
    "lambda_sp=dati/T\n",
    "plt.plot(sp, lambda_sp, '*')\n",
    "plt.plot(sp, modello_base)\n",
    "_=plt.xticks(sp[::2])\n",
    "dati"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$ P(A,B|{\\bf n})P({\\bf n})= P({\\bf n}|A,B)P(A,B)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-74.90544595441199"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def pcond(At, Bt, n):\n",
    "    m=modello(At, Bt)\n",
    "    return sum(np.log(poisson.pmf(n, m*T)))\n",
    "\n",
    "pcond(1,1,dati)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "Av=np.arange(0.8, 1.4, 0.02)\n",
    "Bv=np.arange(0.6, 1.4, 0.02)\n",
    "\n",
    "lv=np.array([\n",
    "    [pcond(av,bv,dati) for av in Av]\n",
    "    for bv in Bv])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "minlv=np.round(np.min(lv))\n",
    "maxlv=np.round(np.max(lv))\n",
    "livelli=np.arange(maxlv-50, maxlv+1, 2.0)\n",
    "fig,ax=plt.subplots(figsize=(6,6))\n",
    "cs=ax.contourf(Av, Bv,lv, livelli)\n",
    "cs=ax.contour(Av, Bv, lv, livelli, colors='k')\n",
    "ax.clabel(cs, inline_spacing=2, fontsize=10, colors='k', fmt='%1.1f')\n",
    "ax.set_xlabel('A')\n",
    "ax.set_ylabel('B')\n",
    "ax.set_aspect('equal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "maxlv=np.max(lv)\n",
    "img,axs=plt.subplots(ncols=2, figsize=(7,4))\n",
    "pmax = np.unravel_index(lv.argmax(), lv.shape)\n",
    "lvo=lv[pmax[0]]\n",
    "axs[0].plot(Av, lvo)\n",
    "axs[1].plot(Av,np.exp(lvo-maxlv))\n",
    "_=img.suptitle('distribuzione di probabilità per A')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img,axs=plt.subplots(ncols=2, figsize=(7,4))\n",
    "lvv=lv[:,pmax[1]]\n",
    "axs[0].plot(Bv, lvv)\n",
    "axs[1].plot(Bv,np.exp(lvv-maxlv))\n",
    "_=img.suptitle('distribuzione di probabilità per B')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(27, 8)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pmax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "provate a fare lo stesso esercizio con A e B fissati ma centro e larghezza della distribuzione ignoti"
   ]
  },
  {
   "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": "3.10.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
