Impact parameters - jet.ipynb 652 KB
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{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Impact of the parameters: Jet opening angle\n",
    "\n",
    "Here is studied a more realistic case:\n",
    "* z=0.1\n",
    "* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV)\n",
    "* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
    "* EBL model: Dominguez\n",
    "\n",
    "This part shows the impact on the halo effect if we play with the jet opening angle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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5c2bcTUqEJCQJfcI6cMzezf88tYfH27e/08PjQFF+ionbOefKupVSS1BxBcfF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\nNjTdLk2O+m/HsxFxTtNtUbMiolXHQuft3kGeOxWFyxFxOHB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a4775dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OnTjg2Cjg/1FIOP6gc25nn2NfADqBo4D/A1xXaRErjdyHFSJfM7GVd+LkOSRv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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a4b930d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aWL9+Paeffnry34yIVJiuZCQiEoV6FBKgeRTy7rjjDrZs2UK2cBHnIUOGsGrV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\nhDCXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a4bb195d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "import modules.arrival_angle\n",
    "import modules.timing\n",
    "simu = [\"theta_j=15\",\"theta_j=5\",\"theta_j=1\",\"theta_j=0.1\",\"theta_j=0.01\"]\n",
    "modules.spectrum.drawSpectrum(simu,colors=['k','b','r','g','c','m','y'])\n",
    "modules.arrival_angle.drawArrivalAngle(simu,colors=['k','b','r','g','c','m','y'])\n",
    "modules.timing.drawTiming(simu,colors=['k','b','r','g','c','m','y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[  0.000e+00   9.000e+01   7.500e+01   6.000e+01   4.500e+01   3.000e+01\n",
      "    1.500e+01   1.000e+01   5.000e+00   2.000e+00   1.000e+00   7.000e-01\n",
      "    5.000e-01   1.000e-01   1.000e-02]\n",
      " [  4.000e-02   5.288e-01   5.287e-01   5.243e-01   5.209e-01   5.046e-01\n",
      "    4.837e-01   4.684e-01   4.330e-01   3.590e-01   2.980e-01   2.704e-01\n",
      "    2.493e-01   1.524e-01   5.970e-02]\n",
      " [  1.400e-01   3.306e-01   3.280e-01   3.185e-01   3.061e-01   2.928e-01\n",
      "    2.736e-01   2.392e-01   2.135e-01   1.591e-01   1.263e-01   1.099e-01\n",
      "    9.677e-02   6.119e-02   1.700e-02]\n",
      " [  4.000e-01   9.402e-02   9.373e-02   9.048e-02   8.603e-02   8.034e-02\n",
      "    5.995e-02   5.605e-02   4.955e-02   3.303e-02   2.154e-02   1.722e-02\n",
      "    1.367e-02   3.746e-03   4.409e-04]\n",
      " [  1.000e+00   2.157e-02   1.904e-02   1.850e-02   1.846e-02   1.315e-02\n",
      "    1.155e-02   1.051e-02   9.332e-03   7.151e-03   5.021e-03   3.960e-03\n",
      "    3.033e-03   7.430e-04   5.331e-05]\n",
      " [  2.000e+00   5.441e-03   5.300e-03   4.728e-03   4.728e-03   4.694e-03\n",
      "    3.828e-03   3.775e-03   3.676e-03   3.425e-03   2.854e-03   2.409e-03\n",
      "    2.002e-03   5.923e-04   5.272e-05]]\n"
     ]
    }
   ],
   "source": [
    "from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
    "from modules.read import select_events\n",
    "from modules.analytic import degre, yr\n",
    "\n",
    "Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"]\n",
    "opening_angle = [90,75,60,45,30,15,10,5,2,1,0.7,0.5,0.1,1e-2] # degres \n",
    "powerlaw_index=1.2\n",
    "\n",
    "def compute_theta_mean(i,j):\n",
    "   if i==0:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=0\n",
    "         dt_mean[i,0]=0\n",
    "      else:\n",
    "         theta_mean[i,j]=opening_angle[j-1]\n",
    "         dt_mean[i,j]=opening_angle[j-1]\n",
    "   else:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=float(Redshifts[i-1])\n",
    "      else:\n",
    "         fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-15G\"\n",
    "         weight, energy, time, theta_arrival, theta, phi, generation, Esource = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1])\n",
    "         #weight, energy, time, theta_arrival, theta, phi = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1], generation=2)\n",
    "         theta_mean[i,j]=average(theta_arrival,weights=weight)/degre\n",
    "         dt_mean[i,j]=average(time,weights=weight)/yr\n",
    "   \n",
    "theta_mean=zeros((size(Redshifts)+1,size(opening_angle)+1))\n",
    "dt_mean=theta_mean.copy()\n",
    "it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
    "while not it.finished:\n",
    "   compute_theta_mean(it.multi_index[0],it.multi_index[1])\n",
    "   it.iternext()\n",
    "    \n",
    "set_printoptions(precision=3)\n",
    "print(theta_mean)\n",
    "\n",
    "savetxt(\"Results/theta_mean_vs_jet_opening.dat\",theta_mean,fmt='%1.4e')\n",
    "savetxt(\"Results/delay_mean_vs_jet_opening.dat\",dt_mean,fmt='%1.4e')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gMyeTOY/NsTwNGNZuGF/d/pVMvhVC1BoV+S31PjBVKfUO5tdhEaXUBOAm4J+V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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb100089190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pyplot import figure, show, setp\n",
    "from matplotlib import gridspec\n",
    "from numpy import loadtxt, sin, arcsin, size\n",
    "from modules.analytic import distance, lambda_gg\n",
    "\n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size \n",
    "mpl.rcParams['ytick.labelsize'] = label_size \n",
    "\n",
    "fig1 = figure(figsize=(12,12))\n",
    "gs = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
    "fig1.subplots_adjust(hspace=0)\n",
    "ax1 = fig1.add_subplot(gs[0])\n",
    "ax2 = fig1.add_subplot(gs[1],sharex=ax1)\n",
    "\n",
    "theta_mean = loadtxt(\"Results/theta_mean_vs_jet_opening.dat\")\n",
    "dt_mean = loadtxt(\"Results/delay_mean_vs_jet_opening.dat\")\n",
    "Redshifts = theta_mean[1:,0]\n",
    "i=1\n",
    "for z in Redshifts:\n",
    "    p, = ax1.plot(theta_mean[0,1:],theta_mean[i,1:],'--*',linewidth=2)\n",
    "    #ax1.plot(theta_mean[0,1:],abs(arcsin(sin(theta_mean[0,1:])*lambda_gg(1e5,z)[1]/distance(z)[1])),'-.',color=p.get_color(),linewidth=2)\n",
    "    ax2.plot(dt_mean[0,1:],dt_mean[i,1:],'--*',color=p.get_color(),linewidth=2,label=\"z=%1.2f\"%float(z))\n",
    "    i+=1    \n",
    "\n",
    "ax1.set_xscale('log')   \n",
    "ax1.set_yscale('log')\n",
    "#ax1.set_ylim([0.5e-6,10])\n",
    "ax1.grid(b=True,which='major')\n",
    "#ax1.legend(loc=\"best\")\n",
    "ax1.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
    "ax1.set_ylabel(\"average arrival angle [degre]\",fontsize=\"xx-large\")\n",
    "xticklabels = ax1.get_xticklabels()\n",
    "setp(xticklabels, visible=False)\n",
    "\n",
    "ax2.set_xscale('log')   \n",
    "ax2.set_yscale('log')\n",
    "#ax2.set_ylim([1e4,0.5e8])\n",
    "ax2.grid(b=True,which='major')\n",
    "ax2.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax2.set_xlabel(\"$\\\\theta_{jet}$ [degre]\",fontsize=\"xx-large\")\n",
    "ax2.set_ylabel(\"average time delay [yrs]\",fontsize=\"xx-large\")   \n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-10-aa53ea82cf70>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     32\u001b[0m \u001b[0mit\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnditer\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtheta_mean\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mflags\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'multi_index'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mop_flags\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'readwrite'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     33\u001b[0m \u001b[1;32mwhile\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfinished\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 34\u001b[1;33m    \u001b[0mcompute_theta_mean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmulti_index\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmulti_index\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\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     35\u001b[0m    \u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0miternext\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     36\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<ipython-input-10-aa53ea82cf70>\u001b[0m in \u001b[0;36mcompute_theta_mean\u001b[1;34m(i, j)\u001b[0m\n\u001b[0;32m     26\u001b[0m          \u001b[1;31m#fileId = \"simple case - z=\"+Redshifts[i-1]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     27\u001b[0m          \u001b[1;31m#weight, energy, time, theta_arrival, theta, phi, generation = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1])\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 28\u001b[1;33m          \u001b[0mweight\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0menergy\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtime\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtheta_arrival\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtheta\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mphi\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mselect_events\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfileId\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mErange\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m1e2\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpowerlaw_index\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1.2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mjet_opening\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mopening_angle\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mgeneration\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     29\u001b[0m          \u001b[0mtheta_mean\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0maverage\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtheta_arrival\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mweights\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mweight\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mdegre\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     30\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m/home/tfitoussi/Programmes/simulation-analysis/modules/read.py\u001b[0m in \u001b[0;36mselect_events\u001b[1;34m(simulation, Erange, delayrange, PSF, powerlaw_index, jet_opening, tobs, generation, full_output)\u001b[0m\n\u001b[0;32m     59\u001b[0m    \u001b[1;31m# 8 - arrival angle [rad]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     60\u001b[0m    \u001b[1;31m# 9 - source photon energy [GeV]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 61\u001b[1;33m    \u001b[0mresults\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mloadtxt\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msimulation\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mresultsFile\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0munpack\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     62\u001b[0m    \u001b[0mredshift\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn_phot\u001b[0m  \u001b[1;33m=\u001b[0m \u001b[0mReadProfile\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msimulation\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m3\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m4\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     63\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m/usr/lib64/python2.7/site-packages/numpy/lib/npyio.pyc\u001b[0m in \u001b[0;36mloadtxt\u001b[1;34m(fname, dtype, comments, delimiter, converters, skiprows, usecols, unpack, ndmin)\u001b[0m\n\u001b[0;32m    858\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    859\u001b[0m             \u001b[1;31m# Convert each value according to its column and store\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 860\u001b[1;33m             \u001b[0mitems\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mconv\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mval\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mconv\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mval\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mconverters\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mvals\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    861\u001b[0m             \u001b[1;31m# Then pack it according to the dtype's nesting\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    862\u001b[0m             \u001b[0mitems\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpack_items\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mitems\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpacking\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from numpy import zeros, size, nditer, average, set_printoptions\n",
    "from matplotlib.pyplot import figure, show\n",
    "from modules.read import select_events\n",
    "from modules.analytic import degre, distance\n",
    " \n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size \n",
    "mpl.rcParams['ytick.labelsize'] = label_size \n",
    "\n",
    "Redshifts=[\"0.13\"]\n",
    "opening_angle = [90,75,60,45,30,15,10,5,2,1,0.7,0.5,0.1,1e-2] # degres \n",
    "\n",
    "def compute_theta_mean(i,j):\n",
    "   if i==0:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=0\n",
    "      else:\n",
    "         theta_mean[i,j]=opening_angle[j-1]\n",
    "   else:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=float(Redshifts[i-1])\n",
    "      else:\n",
    "         fileId=\"Simulations/simple case/EGMF=1e-15G\"\n",
    "         #fileId = \"simple case - z=\"+Redshifts[i-1]\n",
    "         #weight, energy, time, theta_arrival, theta, phi, generation = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1])\n",
    "         weight, energy, time, theta_arrival, theta, phi = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1], generation=2)\n",
    "         theta_mean[i,j]=average(theta_arrival,weights=weight)/degre\n",
    "   \n",
    "theta_mean=zeros((size(Redshifts)+1,size(opening_angle)+1))\n",
    "it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
    "while not it.finished:\n",
    "   compute_theta_mean(it.multi_index[0],it.multi_index[1])\n",
    "   it.iternext()\n",
    "    \n",
    "set_printoptions(precision=3)\n",
    "print(theta_mean)\n",
    "\n",
    "fig1 = figure(figsize=(12,9)) \n",
    "ax1 = fig1.add_subplot(111) \n",
    "\n",
    "Redshifts   = theta_mean[1:,0]\n",
    "i=1\n",
    "for z in Redshifts:\n",
    "    p, = ax1.plot(theta_mean[0,1:],theta_mean[i,1:],'--*',linewidth=2,label=\"z=%.2f\"%float(z))\n",
    "    ax1.plot(theta_mean[0,1:],abs(arcsin(sin(theta_mean[0,1:])/distance(z)[1])),'-.',color=p.get_color(),linewidth=2)\n",
    "    i+=1\n",
    "\n",
    "ax1.set_xscale('log')   \n",
    "ax1.set_yscale('log')\n",
    "ax1.grid(b=True,which='major')\n",
    "ax1.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax1.set_xlabel(\"$\\\\theta_{jet}$ [degre]\",fontsize=\"xx-large\")\n",
    "ax1.set_ylabel(\"average arrival angle [degre]\",fontsize=\"xx-large\")\n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Halo effect is also depending on the source jet opening angle. Figure  shows\n",
    "the photons mean arrival angle in the GeV band versus the jet opening angle of the source assuming\n",
    "that the jet is oriented toward the observer at different redshifts. Size of the halo appears to\n",
    "increase with the jet opening angle but also with the distance. Indeed the ratio of the halo size\n",
    "between a collimated jet ($\\approx 0.1^\\circ$) and a isotropic source ($=90^\\circ$) is 4 - 5 at \n",
    "z=0.1 and 2 at z=2. Thus the halo of a far source is less influenced by the jet than a close one.\n",
    "\n",
    "\n",
    "## Misaligned jet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ngFAIys6dcE2dCuOSS+ixHD0KNTcXiEQAnw92q1a0jRMn6LHpOnlpO3eGbNEC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NAAAg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\nTkT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QPvkE5coV2c7ytRRF5coohw9neq66di1mnz4ox49j69pVtnHxEaMKFVCOHZO/r1qF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c6bh7p8OcqqVdFuZ6dcORElWrYsyiefIG/fjl2z5iVVHwEoXFj4rj71FKGMhvcZECvBKi2s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\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MU6aAquIfMgSzb9/w84e0kP+k69a1jD+SDrZnzx769OlD3759eeCBB/KO2V+LPLKaWxCy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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9bd68c0bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "degre = np.pi/180\n",
    "   \n",
    "def test(tobs=0.5,tjet=0.3):\n",
    "   # Plot a sphere in the observer spherical coordinates\n",
    "   #----------------------------------------------------\n",
    "   fig = plt.figure(figsize=(12,9))\n",
    "   ax = plt.axes(projection='3d')    \n",
    "   \n",
    "   u, v = np.mgrid[0:2*np.pi:40j, 0:np.pi:21j]\n",
    "   x=np.cos(u)*np.sin(v)\n",
    "   y=np.sin(u)*np.sin(v)\n",
    "   z=np.cos(v)\n",
    "   ax.plot_wireframe(x, y, z, color=\"r\")\n",
    "    \n",
    "   r = np.arange(0,1,.01)\n",
    "   x=r*np.sin(tobs)*np.cos(0)\n",
    "   y=r*np.sin(tobs)*np.sin(0)\n",
    "   z=r*np.cos(tobs)\n",
    "   ax.plot(x,y,z,color='b')\n",
    "    \n",
    "\n",
    "   # Circle in the spherical coordinates associated to the jet\n",
    "   #----------------------------------------------------------\n",
    "   # Number of points\n",
    "   n = 100\n",
    "   # Azimuthal angle Phi0\n",
    "   pmin = 0\n",
    "   pmax = 2*np.pi\n",
    "   p0 = pmin + (pmax-pmin)*np.arange(n)/(n-1.)\n",
    "   # Polar angle Theta0\n",
    "   t0 = tjet*np.ones(n)\n",
    "    \n",
    "   # Circle in the spherical coordinates associates to the observer\n",
    "   #---------------------------------------------------------------\n",
    "   # Polar angle Theta\n",
    "   st = np.cos(t0)*np.cos(tobs) + np.sin(t0)*np.sin(tobs)*np.cos(p0)\n",
    "   t = np.arccos(st)\n",
    "   # Azimuthal angle Theta\n",
    "   sin_p = np.sin(t0)*np.sin(p0)/np.sin(t)\n",
    "   p = np.arcsin(sin_p) \n",
    "   cos_p = ( -np.cos(t0)*np.sin(tobs) + np.sin(t0)*np.cos(tobs)*np.cos(p0))/np.sin(t)\n",
    "   p[cos_p>0] = np.pi-p[cos_p>0]\n",
    "    \n",
    "   # Plot the circle\n",
    "   #-----------------\n",
    "   x = np.sin(t)*np.cos(p)\n",
    "   y = np.sin(t)*np.sin(p)\n",
    "   z = np.cos(t)\n",
    "   ax.plot(x, y, z,marker='.')\n",
    "   plt.xlim([-1,1])\n",
    "   plt.ylim([-1,1])\n",
    "   ax.set_zlim(-1,1)    \n",
    "   plt.xlabel('x')\n",
    "   plt.ylabel('y')\n",
    "   ax.set_zlabel('z')\n",
    "   plt.show()\n",
    "   \n",
    "test(tjet=0.2,tobs=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Impact du $\\theta_{obs}$\n",
    "\n",
    "* รฉtude en considรฉrant un jet d'ouverture $\\alpha_{jet}=5^\\circ$\n",
    "* on jouera sur $\\theta_{obs}$ angle par rapport ร  l'observateur"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[  0.000e+00   0.000e+00   1.000e-03   5.000e-03   2.000e-02   5.000e-02\n",
      "    1.000e-01   2.000e-01   5.000e-01   8.000e-01   1.000e+00   2.000e+00\n",
      "    5.000e+00   8.000e+00   1.000e+01   2.000e+01   4.000e+01   6.000e+01\n",
      "    1.800e+02]\n",
      " [  4.000e-02   2.463e+00   2.466e+00   2.466e+00   2.467e+00   2.473e+00\n",
      "    2.488e+00   2.524e+00   2.668e+00   2.842e+00   2.968e+00   3.674e+00\n",
      "    6.144e+00   8.836e+00   1.069e+01   2.029e+01   4.000e+01   5.987e+01\n",
      "    1.755e+02]\n",
      " [  1.400e-01   1.404e+00   1.407e+00   1.407e+00   1.412e+00   1.423e+00\n",
      "    1.445e+00   1.499e+00   1.696e+00   1.919e+00   2.076e+00   2.919e+00\n",
      "    5.674e+00   8.544e+00   1.049e+01   2.033e+01   4.020e+01   6.014e+01\n",
      "    1.765e+02]\n",
      " [  4.000e-01   3.092e-01   3.103e-01   3.111e-01   3.164e-01   3.311e-01\n",
      "    3.615e-01   4.332e-01   6.839e-01   9.561e-01   1.143e+00   2.105e+00\n",
      "    5.062e+00   8.044e+00   1.004e+01   2.002e+01   3.999e+01   5.998e+01\n",
      "    1.773e+02]\n",
      " [  1.000e+00   6.674e-02   6.737e-02   6.875e-02   7.669e-02   9.743e-02\n",
      "    1.378e-01   2.271e-01   5.146e-01   8.099e-01   1.008e+00   2.004e+00\n",
      "    5.000e+00   7.998e+00   9.997e+00   1.999e+01   3.998e+01   5.997e+01\n",
      "    1.777e+02]\n",
      " [  2.000e+00   4.212e-02   4.248e-02   4.420e-02   5.356e-02   7.688e-02\n",
      "    1.206e-01   2.142e-01   5.078e-01   8.056e-01   1.005e+00   2.003e+00\n",
      "    5.001e+00   8.000e+00   1.000e+01   2.000e+01   3.999e+01   5.998e+01\n",
      "    1.782e+02]]\n"
     ]
    }
   ],
   "source": [
    "from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
    "from modules.read import select_events\n",
    "from modules.analytic import degre\n",
    "\n",
    "Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"]\n",
    "tobs = [0,0.001,0.005,0.02,0.05,0.1,0.2,0.5,0.8,1,2,5,8,10,20,40,60,180] # degres \n",
    "tjet = 5 # degres\n",
    "powerlaw_index=1.2\n",
    "\n",
    "def compute_theta_mean(i,j):\n",
    "   if i==0:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=0\n",
    "      else:\n",
    "         theta_mean[i,j]=tobs[j-1]\n",
    "   else:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=float(Redshifts[i-1])\n",
    "      else:\n",
    "         fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-15G\"\n",
    "         #fileId = \"simple case - z=\"+Redshifts[i-1]\n",
    "         weight, energy, time, theta_arrival, theta, phi, generation = select_events(fileId,Erange=[1,1e3],powerlaw_index=1.2,jet_opening=tjet,tobs=tobs[j-1])\n",
    "         theta_mean[i,j]=average(theta_arrival,weights=weight)/degre\n",
    "   \n",
    "theta_mean=zeros((size(Redshifts)+1,size(tobs)+1))\n",
    "it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
    "while not it.finished:\n",
    "   compute_theta_mean(it.multi_index[0],it.multi_index[1])\n",
    "   it.iternext()\n",
    "    \n",
    "set_printoptions(precision=3)\n",
    "print(theta_mean)\n",
    "\n",
    "savetxt(\"Results/theta_mean_vs_jet_direction.dat\",theta_mean,fmt='%1.4e')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.04  0.14  0.4   1.    2.  ]\n"
     ]
    },
    {
     "data": {
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Ray0TpkzwWl9yb9QfEBBQ7GvBggXlqnvx4sVERkbmX/wDNGjQgEGDBvHRRx+Rmpp62jry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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f043b151750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pyplot import figure, show\n",
    "from numpy import loadtxt, arange\n",
    "\n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size \n",
    "mpl.rcParams['ytick.labelsize'] = label_size \n",
    "\n",
    "fig1 = figure(figsize=(12,9)) \n",
    "ax1 = fig1.add_subplot(111) \n",
    "\n",
    "theta_mean = loadtxt(\"Results/theta_mean_vs_jet_direction.dat\")\n",
    "Redshifts   = theta_mean[1:,0]\n",
    "i=1\n",
    "for z in Redshifts:\n",
    "    ax1.plot(theta_mean[0,1:],theta_mean[i,1:],'--*',linewidth=2,label=\"z=%.2f\"%float(z))\n",
    "    i+=1\n",
    "\n",
    "x=arange(0,500)\n",
    "ax1.plot(x,x,color='k',linewidth=2,linestyle=\":\")\n",
    "   \n",
    "ax1.set_xscale('log')   \n",
    "ax1.set_yscale('log')\n",
    "ax1.grid(b=True,which='major')\n",
    "ax1.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax1.set_xlabel(\"observer angle [degre]\",fontsize=\"xx-large\")\n",
    "ax1.set_ylabel(\"average arrival angle [degre]\",fontsize=\"xx-large\")\n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.98480571  0.98480595  0.9848066  ...,  0.98480775  0.98480777\n",
      "  0.98480775]\n"
     ]
    },
    {
     "data": {
      "image/png": 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jHtfzjUfmscg7WlH1AI3C8T0Ym7LVC/ZhX2tv4k0LkbgOfnoLOvfX9tl+Xed+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\nIyzwAQAAgBphgQ8AAADUyP8Hde0Wp74r+jQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fca9c6c8bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HLXlAYTh69KjKyspUXV2tffv2qbS0NHRIiIC67ZovvPCCrrzyytAhAciSyLfk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\nR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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fca9c7e3050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from numpy import *\n",
    "from modules.read import ReadProfile\n",
    "from modules.analytic import degre, yr\n",
    "from modules.arrival_angle import arrivalAngle\n",
    "\n",
    "from matplotlib.pyplot import figure, show\n",
    "from matplotlib.colors import LogNorm\n",
    "from matplotlib import rcParams\n",
    "label_size = 20\n",
    "rcParams['xtick.labelsize'] = label_size \n",
    "rcParams['ytick.labelsize'] = label_size \n",
    "\n",
    "resultsFile=\"/results.dat\"\n",
    "profileFile=\"/profile.dat\"\n",
    "\n",
    "# READ SIMULATIONS FILES ==================================================================================================================\n",
    "def select_events(simulation,Erange=[1e-3,1e6],delayrange=[-1,1e30],powerlaw_index=1,tjet=180.,tobs=0,generation='all',full_output=False):\n",
    "   # 0 - generation\n",
    "   # 1 - weight\n",
    "   # 2 - energy [GeV]\n",
    "   # 3 - time delay [s]\n",
    "   # 4,5,6 - theta_pos, theta_dir, phi_dir [rad]\n",
    "   # 7 - source photon energy [GeV]\n",
    "   results = loadtxt(simulation+resultsFile,unpack=True)\n",
    "   Dsource,redshift,n_phot  = ReadProfile(simulation,[2,3,4]) \n",
    "\n",
    "   try:\n",
    "      gen_select = int(generation)\n",
    "      cond = (results[0] == gen_select)\n",
    "   except:\n",
    "      # select photons only\n",
    "      cond = (results[0]%2==0) \n",
    "   # energy selection\n",
    "   cond = cond & (results[2]>=Erange[0]) & (results[2]<=Erange[1])\n",
    "   # time selection\n",
    "   cond  = cond & (results[3]/yr >= delayrange[0]) & (results[3]/yr <= delayrange[1])\n",
    "   # Apply selection\n",
    "   results = results[:,cond]\n",
    "\n",
    "   # Apply source spectrum\n",
    "   results[1] /= n_phot \n",
    "   if powerlaw_index != \"\":\n",
    "      # compute intrinsic luminosity \n",
    "      powerlaw_index = float(powerlaw_index) \n",
    "      results[1]*= results[7]**(1-powerlaw_index)*log(Erange[1]/Erange[0])\n",
    "      if powerlaw_index == 2:\n",
    "         results[1] /= log(Erange[1]/Erange[0])\n",
    "      else:\n",
    "         results[1] *= (2-powerlaw_index)/(Erange[1]**(2-powerlaw_index)-Erange[0]**(2-powerlaw_index))\n",
    "\n",
    "   # misaligned jet & jet opening angle selection \n",
    "   results = append(results,zeros((2,size(results,axis=1))),axis=0)\n",
    "   phi_dj = 0\n",
    "   results[8] = phi_dj\n",
    "   results[9] = cos(tobs*degre)*cos(results[4])+sin(tobs*degre)*sin(results[4])*cos(phi_dj-results[6])\n",
    "   tabi = results\n",
    "   Nphi=100\n",
    "   for phi_dj in linspace(-pi,pi,Nphi):\n",
    "   #for phi_dj in 2*pi*random.rand(Nphi):\n",
    "      results[8] = phi_dj\n",
    "      results[9] = cos(tobs*degre)*cos(results[4])+sin(tobs*degre)*sin(results[4])*cos(phi_dj-results[6])\n",
    "      tabi = append(tabi,results,axis=1)\n",
    "   results = tabi     \n",
    "   cond = (arccos(results[9])/degre < tjet)\n",
    "   results = results[:,cond]\n",
    "   \n",
    "   results[1] /= (Nphi+1) * Dsource**2 *(2*pi*(1-cos(tjet*degre)))\n",
    "   \n",
    "   return results[1],results[2],results[3],results[4],results[5],results[8],results[0], results[9]\n",
    "#============================================================================================================================================\n",
    "\n",
    "def test(tobs=0,tjet=180,borne=[20,20]): # degres\n",
    "   steps_by_degre = 5\n",
    "   nbBins=steps_by_degre*2*borne[0]\n",
    "   powerlaw_index=1.2\n",
    "\n",
    "   fileId=\"Simulations/tests/mono\"\n",
    "   weight, energy, time, theta_p, theta_d, phi_d, generation, mu_ij = select_events(fileId,Erange=[1e0,1e5],tjet=tjet,tobs=tobs)\n",
    "   \n",
    "   ax0 = figure(figsize=(12,9)).add_subplot(111)\n",
    "   th,dndtheta = arrivalAngle(arccos(mu_ij),weight,nbBins=100,theta_range=[1e-5,180])   \n",
    "   ax0.plot(th/degre,dndtheta,drawstyle='steps-mid',linewidth=2,label=\"$\\\\mu_{i,j}$\")   \n",
    "   th,dndtheta = arrivalAngle(theta_p,weight,nbBins=100,theta_range=[1e-5,180])\n",
    "   ax0.plot(th/degre,dndtheta,drawstyle='steps-mid',linestyle=\"--\",linewidth=2,label=\"$\\\\theta_p$\")\n",
    "   ax0.legend(loc=\"best\",fontsize='xx-large')\n",
    "   ax0.set_xscale('log')\n",
    "   ax0.set_yscale('log')\n",
    "   ax0.set_xlim([1e-5,180])\n",
    "   ax0.grid(b=True,which='major')\n",
    "   ax0.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=20)\n",
    "   ax0.set_ylabel(\"$dN/d\\\\theta$ [sr$^{-1}$]\",fontsize=20)\n",
    "                              \n",
    "   fig = figure(figsize=(14,12))\n",
    "   ax = fig.add_subplot(111) \n",
    "\n",
    "   step = 2*array(borne,dtype=float)/nbBins\n",
    "   philim=float(borne[0])\n",
    "   thetalim=float(borne[1])\n",
    "   bining = array([int(2*philim/step[0])+1,int(2*thetalim/step[1])+1])\n",
    "   limits = [[-thetalim,thetalim],[-philim,philim]]\n",
    "\n",
    "   H,xedges,yedges,im = ax.hist2d(theta_d*cos(phi_d)/degre,theta_d*sin(phi_d)/degre,bining,weights=weight,norm=LogNorm(),range=limits)\n",
    "   cbar=fig.colorbar(im, ax=ax)\n",
    "   cbar.ax.set_ylabel(\"Surface brightness $dN/(dSd\\\\Omega_d)$\",fontsize=label_size)\n",
    "   \n",
    "   th = linspace(0,5,100)\n",
    "   phi_max = arccos(sqrt(1-(sin(tjet*degre)/sin(tobs*degre))**2))\n",
    "   ax.plot(th*cos(pi/2-phi_max),th*sin(pi/2-phi_max),linewidth=2,color='k')\n",
    "   ax.plot(-th*cos(pi/2-phi_max),th*sin(pi/2+phi_max),linewidth=2,color='k')\n",
    "   \n",
    "   ax.set_xlim((-borne[0],borne[0]))\n",
    "   ax.set_ylim((-borne[1],borne[1]))\n",
    "   ax.set_xlabel(\"$\\\\theta_d$ $\\\\cos(\\\\phi_d)$ [deg]\",fontsize=label_size)\n",
    "   ax.set_ylabel(\"$\\\\theta_d$ $\\\\sin(\\\\phi_d)$ [deg]\",fontsize=label_size)\n",
    "   fig.suptitle(\"$\\\\theta_{jet}=$%1.0f$^\\\\circ$, $\\\\theta_{obs}=$%1.0f$^\\\\circ$\"%(tjet,tobs),fontsize=label_size)\n",
    "   ax.grid(b=True,which='major')\n",
    "\n",
    "   show()\n",
    "   \n",
    "test(tjet=3.,tobs=10,borne=[5,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "IndexError",
     "evalue": "index 9 is out of bounds for axis 0 with size 8",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-3-1bb23a7ca338>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     29\u001b[0m \u001b[0mit\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnditer\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtheta_mean\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mflags\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'multi_index'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mop_flags\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'readwrite'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     30\u001b[0m \u001b[1;32mwhile\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfinished\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 31\u001b[1;33m    \u001b[0mcompute_theta_mean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmulti_index\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmulti_index\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\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     32\u001b[0m    \u001b[0mit\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0miternext\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     33\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<ipython-input-3-1bb23a7ca338>\u001b[0m in \u001b[0;36mcompute_theta_mean\u001b[1;34m(i, j)\u001b[0m\n\u001b[0;32m     20\u001b[0m       \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     21\u001b[0m          \u001b[0mfileId\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"Simulations/tests/z=\"\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mRedshifts\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m+\u001b[0m\u001b[1;34m\"/EGMF=1e-15G\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 22\u001b[1;33m          \u001b[0mweight\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0menergy\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtime\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtheta\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mphi\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mEsource\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mgeneration\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mselect_events\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfileId\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mErange\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m1e3\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpowerlaw_index\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1.2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mtjet\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m5\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mtobs\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mtobs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\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     23\u001b[0m          \u001b[1;31m#weight, energy, time, theta_arrival, theta, phi = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1], generation=2)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     24\u001b[0m          \u001b[0mtheta_mean\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0maverage\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtheta\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mweights\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mweight\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mdegre\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m/home/tfitoussi/Programmes/simulation-analysis/modules/read.py\u001b[0m in \u001b[0;36mselect_events\u001b[1;34m(simulation, Erange, delayrange, powerlaw_index, tjet, tobs, generation)\u001b[0m\n\u001b[0;32m     57\u001b[0m       \u001b[1;31m# compute intrinsic luminosity\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     58\u001b[0m       \u001b[0mpowerlaw_index\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfloat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpowerlaw_index\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 59\u001b[1;33m       \u001b[0mresults\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m*=\u001b[0m \u001b[0mresults\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m**\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mpowerlaw_index\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mlog\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mErange\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mErange\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\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     60\u001b[0m       \u001b[1;32mif\u001b[0m \u001b[0mpowerlaw_index\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     61\u001b[0m          \u001b[0mresults\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m/=\u001b[0m \u001b[0mlog\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mErange\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mErange\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mIndexError\u001b[0m: index 9 is out of bounds for axis 0 with size 8"
     ]
    }
   ],
   "source": [
    "from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
    "from modules.read import select_events\n",
    "from modules.analytic import degre, yr\n",
    "\n",
    "Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"]\n",
    "tobs = [0,1,3,5,7,10,15,20,30] # degres \n",
    "powerlaw_index=1.2\n",
    "\n",
    "def compute_theta_mean(i,j):\n",
    "   if i==0:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=0\n",
    "         dt_mean[i,0]=0\n",
    "      else:\n",
    "         theta_mean[i,j]=tobs[j-1]\n",
    "         dt_mean[i,j]=tobs[j-1]\n",
    "   else:\n",
    "      if j==0:\n",
    "         theta_mean[i,j]=float(Redshifts[i-1])\n",
    "      else:\n",
    "         fileId=\"Simulations/tests/z=\"+Redshifts[i-1]+\"/EGMF=1e-15G\"\n",
    "         weight, energy, time, theta, phi, Esource, generation = select_events(fileId,Erange=[1,1e3],powerlaw_index=1.2,tjet=5,tobs=tobs[j-1])\n",
    "         #weight, energy, time, theta_arrival, theta, phi = select_events(fileId,Erange=[10,1e2],powerlaw_index=1.2,jet_opening=opening_angle[j-1], generation=2)\n",
    "         theta_mean[i,j]=average(theta,weights=weight)/degre\n",
    "         dt_mean[i,j]=average(time,weights=weight)/yr\n",
    "   \n",
    "theta_mean=zeros((size(Redshifts)+1,size(tobs)+1))\n",
    "dt_mean=theta_mean.copy()\n",
    "it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
    "while not it.finished:\n",
    "   compute_theta_mean(it.multi_index[0],it.multi_index[1])\n",
    "   it.iternext()\n",
    "    \n",
    "set_printoptions(precision=3)\n",
    "print(theta_mean)\n",
    "\n",
    "savetxt(\"Results/theta_mean_vs_tobs.dat\",theta_mean,fmt='%1.4e')\n",
    "savetxt(\"Results/delay_mean_vs_tobs.dat\",dt_mean,fmt='%1.4e')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   "outputs": [],
   "source": []
  }
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