notebooks/pmg.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/session_manager.py:31: The name tf.Session is deprecated. Please use tf.compat.v1.Session instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/session_manager.py:31: The name tf.Session is deprecated. Please use tf.compat.v1.Session instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/misc.py:27: The name tf.GraphKeys is deprecated. Please use tf.compat.v1.GraphKeys instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/misc.py:27: The name tf.GraphKeys is deprecated. Please use tf.compat.v1.GraphKeys instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdadeltaOptimizer is deprecated. Please use tf.compat.v1.train.AdadeltaOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdadeltaOptimizer is deprecated. Please use tf.compat.v1.train.AdadeltaOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:156: The name tf.train.Optimizer is deprecated. Please use tf.compat.v1.train.Optimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:156: The name tf.train.Optimizer is deprecated. Please use tf.compat.v1.train.Optimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdagradDAOptimizer is deprecated. Please use tf.compat.v1.train.AdagradDAOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdagradDAOptimizer is deprecated. Please use tf.compat.v1.train.AdagradDAOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdagradOptimizer is deprecated. Please use tf.compat.v1.train.AdagradOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdagradOptimizer is deprecated. Please use tf.compat.v1.train.AdagradOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdamOptimizer is deprecated. Please use tf.compat.v1.train.AdamOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/training/tensorflow_optimizer.py:169: The name tf.train.AdamOptimizer is deprecated. Please use tf.compat.v1.train.AdamOptimizer instead.\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/saver/coders.py:80: The name tf.data.Iterator is deprecated. Please use tf.compat.v1.data.Iterator instead.\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From /Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/saver/coders.py:80: The name tf.data.Iterator is deprecated. Please use tf.compat.v1.data.Iterator instead.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pylab as plt\n",
    "import numpy as np\n",
    "from mgemu import emu\n",
    "import pyccl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pmg(Om, h, ns, s8, fR0, n, z):\n",
    "    Omh2 = (h**2)*Om\n",
    "    pkratio, k = emu(Omh2, ns, s8, fR0, n, z)\n",
    "    # cosmo = pyccl.Cosmology(Omega_c= Om, Omega_b=0.0, h=h, n_s=ns, sigma8=s8, transfer_function='bbks')\n",
    "    cosmo = pyccl.Cosmology(Omega_c=Om, Omega_b=0.0223/(h**2), h=h, sigma8=s8, n_s=ns, Neff=3.04, transfer_function='boltzmann_class', matter_power_spectrum='emu')\n",
    "    a = 1./(1+z)\n",
    "    pk_nl = pyccl.nonlin_matter_power(cosmo, k, a)\n",
    "    pk_mg = pk_lcdm*pkratio\n",
    "    return pk_mg, k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "### LCDM parameters\n",
    "h=0.67 # See README and the accompanying paper regarding the value of h. \n",
    "Om = 0.281\n",
    "Omh2=(h**2)*Om\n",
    "ns=0.971\n",
    "s8=0.82\n",
    "### Hu-Sawicki model parameters\n",
    "fr0=1e-5\n",
    "n=1\n",
    "### Redshift\n",
    "z=0.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/saver/serializers.py:46: H5pyDeprecationWarning: The default file mode will change to 'r' (read-only) in h5py 3.0. To suppress this warning, pass the mode you need to h5py.File(), or set the global default h5.get_config().default_file_mode, or set the environment variable H5PY_DEFAULT_READONLY=1. Available modes are: 'r', 'r+', 'w', 'w-'/'x', 'a'. See the docs for details.\n",
      "  with h5py.File(pathname_or_file_like) as h5file:\n",
      "/Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/saver/serializers.py:47: H5pyDeprecationWarning: dataset.value has been deprecated. Use dataset[()] instead.\n",
      "  return h5file['data'].value\n"
     ]
    }
   ],
   "source": [
    "pkratio, k = emu(Omh2=Omh2, ns=ns, s8=s8, fR0=fr0, n=n, z=z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.00982889 1.01357217 1.01714141 1.0205421  1.02377975 1.02685985\n",
      " 1.0297879  1.0325694  1.03520985 1.03771475 1.0400896  1.04233989\n",
      " 1.04447113 1.04648882 1.04839845 1.05020552 1.05191553 1.05353398\n",
      " 1.05506638 1.05651821 1.05789498 1.05920218 1.06044532 1.0616299\n",
      " 1.06276141 1.06384535 1.06474698 1.06567341 1.06669576 1.06759491\n",
      " 1.06860136 1.06979909 1.07112221 1.07264776 1.0737043  1.07477308\n",
      " 1.07583323 1.0768346  1.07745653 1.07854727 1.07955811 1.08056651\n",
      " 1.08155537 1.08238071 1.08337066 1.08407186 1.08508032 1.08628045\n",
      " 1.08716082 1.08811323 1.08913573 1.09015496 1.09113614 1.09197546\n",
      " 1.09327543 1.09376119 1.09512835 1.09627433 1.09726162 1.09815755\n",
      " 1.09938178 1.10056761 1.10164727 1.1022352  1.10348093 1.1044688\n",
      " 1.10568708 1.10673956 1.1078866  1.10872038 1.1095461  1.11065004\n",
      " 1.11150012 1.11245044 1.11352418 1.11431218 1.11560441 1.11693727\n",
      " 1.11817223 1.11926903 1.12054795 1.12179376 1.12293719 1.12396938\n",
      " 1.12464217 1.12558161 1.12651605 1.12720133 1.1280515  1.12927412\n",
      " 1.13012273 1.1310388  1.13185112 1.13270043 1.13364415 1.13450351\n",
      " 1.13574086 1.13662985 1.13740089 1.13837645 1.13927682 1.14019931\n",
      " 1.14099284 1.14179304 1.14272703 1.14335746 1.1444837  1.14524862\n",
      " 1.14602289 1.14681276 1.14793143 1.14885835 1.14971416 1.15050887\n",
      " 1.15153471 1.15243633 1.15311904 1.15391826 1.15453265 1.15537437\n",
      " 1.15617901 1.15697755 1.15779294 1.15866655 1.15959808 1.16038039\n",
      " 1.16128272 1.16196785 1.16259703 1.16329335 1.16405665 1.16480763\n",
      " 1.16541927 1.16596317 1.16652337 1.16698455 1.16752008 1.1680139\n",
      " 1.16850824 1.16897042 1.16925835 1.1697246  1.17004898 1.17062101\n",
      " 1.17096756 1.17129005 1.17160857 1.17170579 1.17186129 1.17203336\n",
      " 1.17203547 1.17221498 1.17232364 1.17253564 1.17262437 1.1726918\n",
      " 1.17290579 1.17286639 1.17291964 1.1729806  1.1730908  1.17316661\n",
      " 1.17320503 1.17336015 1.17351751 1.17360479 1.17373448 1.17394633\n",
      " 1.17427469 1.17458601 1.17496269 1.17552262 1.17593359 1.17632417\n",
      " 1.17677301 1.17736779 1.17781794 1.17837985 1.17910268 1.17985131\n",
      " 1.18059985 1.18130126 1.18205098 1.18284536 1.18369198 1.18453334\n",
      " 1.18548462 1.1863955  1.18739067 1.18840169 1.189426   1.19046103\n",
      " 1.19150422 1.19255301 1.19360484 1.19465714 1.19570735 1.19675291\n",
      " 1.19779126 1.19881983 1.19983607 1.2008374  1.20182127 1.20278512\n",
      " 1.20372638 1.20464248 1.20553088 1.206389   1.20721428 1.20800416\n",
      " 1.20875608 1.20946747 1.21013578]\n"
     ]
    }
   ],
   "source": [
    "print (pkratio)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cosmo = pyccl.Cosmology(Omega_c= Om, Omega_b=0.0, h=h, n_s=ns, sigma8=s8, transfer_function='bbks')\n",
    "cosmo = pyccl.Cosmology(Omega_c=Om, Omega_b=0.0223/(h**2), h=h, sigma8=s8, n_s=ns, Neff=3.04, transfer_function='bbks', matter_power_spectrum='emu')\n",
    "# pyccl.comoving_radial_distance(cosmo, 1./(1+z))\n",
    "a = 1./(1+z)\n",
    "pk_lcdm = pyccl.nonlin_matter_power(cosmo, k, a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gev866/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:20: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n",
      "Invalid limit will be ignored.\n",
      "/Users/gev866/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:21: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n",
      "Invalid limit will be ignored.\n"
     ]
    },
    {
     "data": {
      "image/png": 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92b9/f+y10NBQ3nnnHYYPH87FixepWLFi7Mjhjh07+PTTTxk6dOgD4S+Gj48P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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fPZw9ezYAffv2Tdbvn1GoAIo8oIalfZnbswpToprwpvPrxJ7Y4ZghfOmY3dFE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\nQEmSpIb5PxKOLFRseh5JAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fPZw9ezYAffv2Tdbvn1GoAIo8oIalfZnbswpToprwpvPrxJ7Y4ZghfOmY3dFE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\nQEmSpIb5PxKOLFRseh5JAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, a = plt.subplots(2, 1, figsize=(9, 8), gridspec_kw={'height_ratios': [3, 1]}, sharex=True)\n",
    "a[0].tick_params(axis='both', which='major', labelsize=22)\n",
    "a[1].tick_params(axis='both', which='major', labelsize=22)\n",
    "\n",
    "\n",
    "a[0].plot(k, pk_lcdm, label = r'$P_{LCDM}(k)$')\n",
    "a[0].set_xscale('log')\n",
    "a[1].set_xscale('log')\n",
    "\n",
    "a[0].set_yscale('log')\n",
    "a[0].plot(k, pk_lcdm*pkratio, label = r'$P_{MG}(k)$')\n",
    "a[0].set_ylabel(r'$P(k)$' , fontsize=23)\n",
    "a[0].legend(fontsize=23)\n",
    "\n",
    "\n",
    "a[1].set_xlabel('$k$' , fontsize=23)\n",
    "a[1].plot(k, pkratio, 'k--', label = r'$P_{MG}(k)/P_{LCDM}(k)$')\n",
    "a[1].set_ylabel(r'$\\chi(k)$' , fontsize=23)\n",
    "\n",
    "a[0].set_xlim(0, 1.01)\n",
    "a[1].set_xlim(0, 1.01)\n",
    "a[0].set_ylim(1e3, )\n",
    "\n",
    "f.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/saver/serializers.py:46: H5pyDeprecationWarning: The default file mode will change to 'r' (read-only) in h5py 3.0. To suppress this warning, pass the mode you need to h5py.File(), or set the global default h5.get_config().default_file_mode, or set the environment variable H5PY_DEFAULT_READONLY=1. Available modes are: 'r', 'r+', 'w', 'w-'/'x', 'a'. See the docs for details.\n",
      "  with h5py.File(pathname_or_file_like) as h5file:\n",
      "/Users/gev866/.local/lib/python3.5/site-packages/gpflow-1.5.1-py3.5.egg/gpflow/saver/serializers.py:47: H5pyDeprecationWarning: dataset.value has been deprecated. Use dataset[()] instead.\n",
      "  return h5file['data'].value\n",
      "/Users/gev866/anaconda/lib/python3.5/site-packages/matplotlib/pyplot.py:1442: UserWarning: Attempted to set non-positive left xlim on a log-scaled axis.\n",
      "Invalid limit will be ignored.\n",
      "  ret = ax.set_xlim(*args, **kwargs)\n"
     ]
    },
    {
     "data": {
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qMeqUJOlw7Wtq4ZfLN/OjJzZw97ObaEmJhcfUcs2b5/Hm4yYybkRlqUtUHwy6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\nOgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pylab as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.figure(1, figsize=(9, 6) )\n",
    "plt.tick_params(axis='both', which='major', labelsize=22)\n",
    "\n",
    "fR0_arr= np.logspace(-6, -4, 10)\n",
    "#for i in range(10):\n",
    "#    fR0 = fR0_arr[i]\n",
    "#    pkratio, k = emu(Omh2=Omh2, ns=ns, s8=s8, fR0=fR0, n=n, z=1.2)\n",
    "#    plt.plot(k, pkratio)\n",
    "pkratio, k = emu(Omh2=Omh2, ns=ns, s8=s8, fR0=1e-5, n=n, z=1.2)\n",
    "plt.plot(k, pkratio)    \n",
    "plt.xscale('log')\n",
    "plt.ylabel(r'$\\chi(k)$', fontsize=23)\n",
    "plt.xlabel(r'$k$', fontsize=23)\n",
    "plt.xlim(0, 1.01)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
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     },
     "metadata": {
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     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import matplotlib.pylab as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.figure(1, figsize=(9, 6) )\n",
    "plt.tick_params(axis='both', which='major', labelsize=22)\n",
    "fR0_arr= np.logspace(-6, -4, 5)\n",
    "for i in range(5):\n",
    "    fR0 = fR0_arr[i]\n",
    "    p_mg, k = pmg(Om, h, ns, s8, fR0, n, z)\n",
    "    plt.plot(k, p_mg, label = \"log(fR0)={:.2f}\".format(np.log10(fR0)) )\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.ylabel(r'$P_{MG}(k)$', fontsize=23)\n",
    "plt.xlabel(r'$k$', fontsize=23)\n",
    "plt.legend(fontsize=14)\n",
    "plt.xlim(0, 1.01)\n",
    "plt.ylim(1e3,)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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