{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dark Matter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indirect dark matter detection works under the assumption that dark matter is particle-like and decays or annihilates into standard model particles. These standard model particles can then further decay or through other processes produce by-products such as photons.\n", "\n", "`GammaBayes` is interested in relating the flux and properties of these gamma-rays if they exist back to important dark matter parameters such as it's mass and thermally averaged velocity-weighted annihilation cross-section.\n", "\n", "This is currently handled with two 'combination' classes that either take a physics model-dependent or model-independent approach to the search for dark matter. We will first discuss the model dependent approach and later on how this differs to the model-independent approach." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `CombineDMComps`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in the name `CombineDMComps` combines a spectral dark matter distribution and a spatial distribution to construct a `TwoCompFluxPrior` class as discussed in the priors and simulations tutorial.\n", "\n", "You must provide it with a `DM_ContinuousEmission_Spectrum` class and a `DM_Profile` class each of which are base classes for specific models (spectral and spatial respectively)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `DM_ContinuousEmission_Spectrum`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`DM_ContinuousEmission_Spectrum` is used as a base for any single-particle dark matter model that you wish to implement. That can mean implementing a full blown physics motivated model like the Z2 real scalar singlet model or as simple as a single $W^+W^-$ channel model.\n", "\n", "`DM_ContinuousEmission_Spectrum` takes in three main arguments:\n", " - `annihilation_fractions` a mesh of the annihilation ratios that are outputs of a given dark matter model,\n", " - `parameter_interpolation_values` the parameter axes that created the above mesh and,\n", " - `ratios` a bool to enforce the `annihilation_fractions` values to add to 1 or to interpret them as partial annihilation ratios" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### W Channel example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default behaviour is to instantiate a single channel model for the $W^+W^-$ channel which is just a function of dark matter mass. It works as below." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n", "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:121: RuntimeWarning: divide by zero encountered in log\n", " self.log_normalisations = np.logaddexp(self.log_normalisations, np.log(annihilation_fractions[channel]))\n", "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:126: RuntimeWarning: divide by zero encountered in log\n", " new_annihilation_fractions = np.exp(np.log(annihilation_fractions[channel])-self.log_normalisations)\n" ] } ], "source": [ "import numpy as np\n", "from astropy import units as u\n", "\n", "from gammabayes.dark_matter.channel_spectra import (\n", " PPPCReader, \n", ")\n", "\n", "from gammabayes.dark_matter import DM_ContinuousEmission_Spectrum\n", "\n", "\n", "single_Wchannel_annihilation_ratios = {}\n", "mass_axis = np.logspace(-1,2,301)\n", "\n", "for channel in PPPCReader.darkSUSY_to_PPPC_converter:\n", " if channel[0]==\"W\":\n", " single_Wchannel_annihilation_ratios[channel] = mass_axis*0+1\n", " else:\n", " single_Wchannel_annihilation_ratios[channel] = mass_axis*0\n", "\n", "\n", "wchannel_spectral_comp = DM_ContinuousEmission_Spectrum(annihilation_fractions=single_Wchannel_annihilation_ratios, \n", " parameter_interpolation_values=[mass_axis], \n", " ratios = True,\n", " default_parameter_values = {'mass':1.0,},\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can extract the values of this function using the `logfunc` method." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_energies = np.logspace(-1, 2, 241)*u.TeV\n", "test_mass = 2 # TeV\n", "log_spectra = wchannel_spectral_comp.logfunc(energy=test_energies.flatten(), \n", " mass=test_mass)\n", "\n", "\n", "from matplotlib import pyplot as plt\n", "\n", "\n", "plt.figure()\n", "plt.grid(c='grey', ls='--', alpha=0.4,which='major')\n", "plt.axvline(test_mass, c='tab:orange', ls='--', alpha=0.8, lw=1)\n", "plt.plot(test_energies.value, np.exp(log_spectra.squeeze()), lw=2)\n", "plt.ylabel(r'$dN^\\gamma/dE$ [1/TeV]')\n", "plt.xlabel(\"Energy [TeV]\")\n", "plt.loglog()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The units should also be handled so you can mess around with that." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_energies = np.logspace(2, 5, 241)*u.GeV\n", "test_mass = 2 # TeV\n", "log_spectra = wchannel_spectral_comp.mesh_efficient_logfunc(energy=test_energies, mass=test_mass)\n", "\n", "\n", "from matplotlib import pyplot as plt\n", "\n", "\n", "\n", "plt.figure()\n", "plt.grid(c='grey', ls='--', alpha=0.4,which='major')\n", "plt.axvline(test_mass*1000, c='tab:orange', ls='--', alpha=0.8, lw=1)\n", "plt.plot(test_energies.value, np.exp(log_spectra.squeeze()), lw=2)\n", "plt.ylabel(r'$dN^\\gamma/dE$ [1/TeV]')\n", "plt.xlabel(\"Energy [GeV]\")\n", "plt.loglog()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, you'll notice that the y-values didn't change. That is because the output is locked to be 1/TeV unless explicitly stated otherwise. This can be done by changing the `inverse_output_unit` attribute." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "wchannel_spectral_comp.inverse_output_unit = u.GeV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now if we do the same graph again the y-values should have changed (and the appropriate unit)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_energies = np.logspace(2, 5, 241)*u.GeV\n", "test_mass = 2 # TeV\n", "log_spectra = wchannel_spectral_comp.logfunc(energy=test_energies, mass=test_mass)\n", "\n", "\n", "from matplotlib import pyplot as plt\n", "\n", "\n", "\n", "plt.figure()\n", "plt.grid(c='grey', ls='--', alpha=0.4,which='major')\n", "plt.axvline(test_mass*1000, c='tab:orange', ls='--', alpha=0.8, lw=1)\n", "plt.plot(test_energies.value, np.exp(log_spectra.squeeze()), lw=2)\n", "plt.ylabel(r'$dN^\\gamma/dE$ [1/GeV]')\n", "plt.xlabel(\"Energy [GeV]\")\n", "plt.loglog()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If that worked, hoorray! If it didn't... raise an issue in the GitHub repo. \n", "\n", "\n", "Another small thing is that for this method I presume that the inputs are either the same size/shape or I presume that the extra parameters are single-valued and I add them to a zero matrix of the same size as the energy input. If you want to put in multiple axes of parameters and get a mesh out then you can use the `mesh_efficient_logfunc` method. e.g." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_energies = np.logspace(-1, 2, 241)*u.TeV\n", "test_masses = np.logspace(-0.8, 1.8, 5) # TeV\n", "\n", "wchannel_spectral_comp.inverse_output_unit = u.TeV\n", "log_spectra = wchannel_spectral_comp.mesh_efficient_logfunc(energy=test_energies, mass=test_masses)\n", "\n", "\n", "from matplotlib import pyplot as plt\n", "from matplotlib.pyplot import get_cmap\n", "from matplotlib.colors import Normalize\n", "\n", "norm = Normalize(vmin=0, vmax=len(test_masses)-1)\n", "\n", "cmap = get_cmap(\"winter\")\n", "plt.figure()\n", "plt.grid(c='grey', ls='--', alpha=0.4,which='major')\n", "for mass_idx, mass in enumerate(test_masses):\n", "\n", " color = cmap(norm(mass_idx)) \n", " plt.axvline(mass, ls='--', alpha=0.8, lw=1, c=color)\n", "\n", " plt.plot(test_energies.value, np.exp(log_spectra[:, mass_idx].squeeze()), lw=2, c=color, label=f\"{mass:.1f}\")\n", "plt.legend(title=\"Masses [TeV]\", loc=[1.05, 0.5])\n", "plt.ylabel(r'$dN^\\gamma/dE$ [1/TeV]')\n", "plt.xlabel(\"Energy [TeV]\")\n", "plt.loglog()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `Z2_ScalarSinglet` + custom example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's say that you have your own single particle dark matter model that you wish to use. As previously stated you need to provide parameter axes and a matrix where these parameters relate to the annihilation ratios/branching fraction/partial annihilation or decay cross sections of the model. \n", "\n", "We will copy how this is done for the built-in Z2 Scalar Singlet dark matter model.\n", "\n", "In `GammaBayes` there contains a table of mass, Higgs coupling and the subsequent annihilation ratios for many standard model particle channels." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'mS [GeV]': array([1.00000000e+01, 1.04693645e+01, 1.09607592e+01, ...,\n", " 9.55167817e+05, 1.00000000e+06, 1.04693645e+06], dtype=float128),\n", " 'lahS': array([1.00000005e-03, 1.00000005e-03, 1.00000005e-03, ...,\n", " 1.00000000e+01, 1.00000000e+01, 1.00000000e+01]),\n", " 'nuenue': array([0., 0., 0., ..., 0., 0., 0.]),\n", " 'e+e-': array([1.03788572e-39, 1.04312237e-39, 1.04890974e-39, ...,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]),\n", " 'numunumu': array([0., 0., 0., ..., 0., 0., 0.]),\n", " 'mu+mu-': array([4.43652403e-35, 4.39327927e-35, 4.41562256e-35, ...,\n", " 7.84727140e-44, 6.44597294e-44, 5.32493416e-44]),\n", " 'nutaunutau': array([0., 0., 0., ..., 0., 0., 0.]),\n", " 'tau+tau-': array([1.19613419e-32, 1.21407701e-32, 1.22493785e-32, ...,\n", " 2.20256093e-41, 1.83331878e-41, 1.52601403e-41]),\n", " 'uu': array([1.07317692e-37, 1.07859288e-37, 1.08457642e-37, ...,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]),\n", " 'dd': array([4.29270588e-37, 4.31437018e-37, 4.33830435e-37, ...,\n", " 1.40129846e-45, 0.00000000e+00, 0.00000000e+00]),\n", " 'cc': array([3.97030593e-32, 8.90782052e-33, 8.83291288e-33, ...,\n", " 7.35121174e-41, 6.11890987e-41, 5.09329953e-41]),\n", " 'ss': array([1.26483594e-34, 6.85453141e-35, 6.79967061e-35, ...,\n", " 2.21405157e-43, 1.84971397e-43, 1.54142831e-43]),\n", " 'tt': array([0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n", " 6.25542190e-37, 5.20685336e-37, 4.33405158e-37]),\n", " 'bb': array([1.89077032e-31, 1.60205398e-31, 1.61346556e-31, ...,\n", " 4.99532074e-40, 4.15798886e-40, 3.46099701e-40]),\n", " 'gammagamma': array([0.00000000e+00, 9.12682398e-36, 1.00673515e-35, ...,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]),\n", " 'W+W-': array([0.00000000e+00, 1.49763325e-38, 1.99138343e-38, ...,\n", " 1.27272553e-29, 1.16116551e-29, 1.05938417e-29]),\n", " 'ZZ': array([0.00000000e+00, 4.92196837e-39, 6.53849367e-39, ...,\n", " 6.36362763e-30, 5.80582716e-30, 5.29692086e-30]),\n", " 'gg': array([8.48288335e-34, 4.92058078e-33, 4.63569201e-33, ...,\n", " 0.00000000e+00, 0.00000000e+00, 0.00000000e+00]),\n", " 'HH': array([0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n", " 6.36361935e-30, 5.80582039e-30, 5.29691484e-30]),\n", " 'Zgamma': array([0., 0., 0., ..., 0., 0., 0.]),\n", " 'hadrons (below confinement scale)': array([0., 0., 0., ..., 0., 0., 0.])}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np, copy\n", "from os import path\n", "from gammabayes.dark_matter.spectral_models.core import CSVDictionary\n", "from gammabayes.dark_matter.spectral_models.Z2_ScalarSinglet.SS_DM_Spectral_Class import ScalarSinglet_Folder_Path\n", "\n", "\n", "\n", "annihilation_ratio_data_dict = CSVDictionary(ScalarSinglet_Folder_Path+f'/annihilation_ratio_data/annihilation_ratios__darkSUSY.csv', delimiter=' ')\n", "annihilation_ratio_data_dict.dict_object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mass and lahS (Higgs coupling) are inputs and the other values are the outputs. We just need to extract the inputs..." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "\n", "# Extracting the annihilation ratios for the Scalar Singlet model\n", "mass_axis, lahS_axis = np.unique(annihilation_ratio_data_dict['mS [GeV]'])/1000, np.unique(annihilation_ratio_data_dict['lahS'])\n", "\n", "SS_ratios_dict = copy.deepcopy(annihilation_ratio_data_dict)\n", "\n", "del SS_ratios_dict['mS [GeV]']\n", "del SS_ratios_dict['lahS']\n", "\n", "parameter_interpolation_values = [mass_axis, lahS_axis]\n", "parameter_axes_shapes = (lahS_axis.size, mass_axis.size)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And reshape the outputs so that we can interpolate them." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "\n", "for channel in SS_ratios_dict.keys():\n", " SS_ratios_dict[channel] = SS_ratios_dict[channel].reshape(parameter_axes_shapes).T\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then we pass the annihilation ratios or branching fractions into annihilation_fractions\n", "\n", "and the two parameter axis in a list to parameter_interpolation_values\n", "\n", "and the defaults for the parameters. The defaults are required for unit matching and value replacement when un-specified." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:121: RuntimeWarning: divide by zero encountered in log\n", " self.log_normalisations = np.logaddexp(self.log_normalisations, np.log(annihilation_fractions[channel]))\n", "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:126: RuntimeWarning: divide by zero encountered in log\n", " new_annihilation_fractions = np.exp(np.log(annihilation_fractions[channel])-self.log_normalisations)\n" ] } ], "source": [ "manual_z2_spectral_comp = DM_ContinuousEmission_Spectrum(annihilation_fractions = SS_ratios_dict, \n", " parameter_interpolation_values = parameter_interpolation_values,\n", " default_parameter_values={'mass':1.0, 'lahS':0.1},)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we use the class in the same way as before." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:223: RuntimeWarning: divide by zero encountered in log\n", " log_channel_comp = np.log(channel_comp) - np.log((energy*u.TeV).to(self.inverse_output_unit).value) - np.log(np.log(10))\n" ] } ], "source": [ "test_energies = np.logspace(-1, 2, 241)*u.TeV\n", "test_masses = np.logspace(-0.8, 1.8, 5)\n", "\n", "\n", "manual_z2_spectral_comp.inverse_output_unit = u.TeV\n", "log_spectra = manual_z2_spectral_comp.mesh_efficient_logfunc(energy=test_energies, mass=test_masses, lahS=0.2)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib.pyplot import get_cmap\n", "from matplotlib.colors import Normalize\n", "\n", "norm = Normalize(vmin=0, vmax=len(test_masses)-1)\n", "\n", "cmap = get_cmap(\"winter\")\n", "plt.figure()\n", "plt.grid(c='grey', ls='--', alpha=0.4,which='major')\n", "for mass_idx, mass in enumerate(test_masses):\n", "\n", " color = cmap(norm(mass_idx)) \n", " plt.axvline(mass, ls='--', alpha=0.8, lw=1, c=color)\n", "\n", " plt.plot(test_energies.value, np.exp(log_spectra[:, mass_idx].squeeze()), lw=2, c=color, label=f\"{mass:.1f}\")\n", "plt.legend(title=\"Masses [TeV]\", loc=[1.05, 0.5])\n", "plt.ylabel(r'$dN^\\gamma/dE$ [1/TeV]')\n", "plt.xlabel(\"Energy [TeV]\")\n", "plt.loglog()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks fairly similar to the single W channel spectrum, that is because the W channel makes the largest contributions above ~100 GeV for the Z2 Scalar Singlet dark matter model.\n", "\n", "And again, `GammaBayes` has the Z2 Scalar Singlet dark matter model built-in and you can instantiate in the following way." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:121: RuntimeWarning: divide by zero encountered in log\n", " self.log_normalisations = np.logaddexp(self.log_normalisations, np.log(annihilation_fractions[channel]))\n", "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:126: RuntimeWarning: divide by zero encountered in log\n", " new_annihilation_fractions = np.exp(np.log(annihilation_fractions[channel])-self.log_normalisations)\n", "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:223: RuntimeWarning: divide by zero encountered in log\n", " log_channel_comp = np.log(channel_comp) - np.log((energy*u.TeV).to(self.inverse_output_unit).value) - np.log(np.log(10))\n" ] } ], "source": [ "from gammabayes.dark_matter.spectral_models import Z2_ScalarSinglet\n", "\n", "\n", "auto_z2_scalar_singlet_comp = Z2_ScalarSinglet()\n", "\n", "\n", "test_energies = np.logspace(-1, 2, 241)*u.TeV\n", "test_masses = np.logspace(-0.8, 1.8, 5) # TeV\n", "\n", "\n", "auto_z2_scalar_singlet_comp.inverse_output_unit = u.TeV\n", "log_spectra = auto_z2_scalar_singlet_comp.mesh_efficient_logfunc(energy=test_energies, mass=test_masses, lahS=0.2)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib.pyplot import get_cmap\n", "from matplotlib.colors import Normalize\n", "\n", "norm = Normalize(vmin=0, vmax=len(test_masses)-1)\n", "\n", "cmap = get_cmap(\"winter\")\n", "plt.figure()\n", "plt.grid(c='grey', ls='--', alpha=0.4,which='major')\n", "for mass_idx, mass in enumerate(test_masses):\n", "\n", " color = cmap(norm(mass_idx)) \n", " plt.axvline(mass, ls='--', alpha=0.8, lw=1, c=color)\n", "\n", " plt.plot(test_energies.value, np.exp(log_spectra[:, mass_idx].squeeze()), lw=2, c=color, label=f\"{mass:.1f}\")\n", "plt.legend(title=\"Masses [TeV]\", loc=[1.05, 0.5])\n", "plt.ylabel(r'$dN^\\gamma/dE$ [1/TeV]')\n", "plt.xlabel(\"Energy [TeV]\")\n", "plt.loglog()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `DM_Profile`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The other component to dark matter models are the spatial distributions. In `GammaBayes` we don't offer much in the way of custom distributions but we do offer some standard distributions such as the `Einasto_Profile`, `NFW_Profile` and `Burkert_Profile`.\n", "\n", "You can access them as below." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "from gammabayes.dark_matter.density_profiles import Einasto_Profile, Burkert_Profile\n", "\n", "\n", "einasto_profile = Einasto_Profile()\n", "burkert_profile = Burkert_Profile()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "\n", "\n", "radii = np.logspace(-2, 3, 121)*u.kpc\n", "\n", "\n", "plt.figure()\n", "plt.plot(radii.value, np.exp(einasto_profile.log_density(radii)), label='Einasto')\n", "plt.plot(radii.value, np.exp(burkert_profile.log_density(radii)), label='Burkert')\n", "plt.loglog()\n", "plt.xlabel(\"Radius [kpc]\")\n", "plt.ylabel(r\"Density [TeV/cm$^3$]\")\n", "plt.legend(title=\"Density Profile\")\n", "plt.grid(which='major', c='grey', ls='--', alpha=0.4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And unlike with the spectral profiles the output unit of this function is currently fixed at $\\text{TeV}/\\text{cm}^3$. This will be fixed very soon (current date 02/09/24)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main quantity we want out of the profile is the differential J or D factor which is the output when directly calling the class." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "longitude_values = np.linspace(-3, 3, 61)*u.deg\n", "latitude_values = np.linspace(-2, 2, 40)*u.deg\n", "\n", "lon_mesh, lat_mesh = np.meshgrid(longitude_values, latitude_values, indexing='ij')\n", "\n", "diffJ_values = np.exp(einasto_profile(lon_mesh.flatten(), lat_mesh.flatten()).reshape(lon_mesh.shape))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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UgjRdD62b7tva2hAbG4vx2lT00Hp2eV4a0iciDLcyeAGZkSA84boMhAGaHZ4n6Lcw8E/SxlBInyw0zcT9kffNxHBDGSNtzGTk60LWRhQCJwt6MzNAUBaEZyBwz0jfdNG+mr0/gjbSMEAjr7eR11S0eekxMGd9HfoZVOkb0Nraatk1nZ1/l57dOwpRF/g3tnD6ZAfuy9pjaX9DSdBfk0NERBQKeLpKPRY5RERECpjzsw4scnzBo0VEREQhiSM5RERECjh1DU5/wwD9bB9uWOQQEREp4DThdBVzcnzDo0VEREQhiSM5RERECjj1CDj9vDvK3/bhhkUOERGRAg5ocMC/a2r8bR9uWOR0kgXXBcX6BIF7siA8I+F5wjaS0EEzg/BkYXeRkb63ET0XKTsGivbHwLEO6jBAYQicpI0maiPZT9F2NEk4nEPwnJHPgsMhbiMi24zT85N6hCyoULQdyYYEoX+y7xBhUKCRkEDZd6KBYD/h+oysi0IWixwiIiIFeLpKPRY5RERECjjg/+kmA+OIYY0lIREREYUkjuQQEREpwNNV6rHIISIiUoA/0KkeixwiIiIFdGhw+nlNjs5byH3CkpCIiIhCEkdyiIiIFODpKvVY5BARESnAXyFXL2SLHC1Cg2ZSOqwmS6A1QrS+QKfZSghTjQFj+yNMIhakGkvbGEitNbIdWZqsgWOgC7cj3oyhZGUjRIm20sRjz7M1WRvRc6JUY0CcbGzky1/WN1FKsuy9Y2IasigJGQD0QKelyN5vom7LXlPRZiTfvbpJ69N0jeEzISxkixwiIqJg4kAEHH5eCutv+3DDIoeIiEgBnq5SjyUhERERhSSO5BARESngRAScfo4t+Ns+3LDIISIiUsCha3D4ebrJ3/bhhiUhERERhSSO5BARESnAC4/VY5FDRESkgG7Cr5DrTDz2SfgVObJQu0Cu67ybEiWGyUK5jLQx8K8EIwF1okA1aRsD+yPajizYz0DooB5p4BgI+iAMCQSMnWAWrU8WhCciyMcDxKF/ulPSSNBGcxjom5H9kYX3iV5vUUggIH6/GQkJhGR/RJ9TSdeE73nJ6yP63pG+pkaIvkt1A9uRfS8bWZ+JHNDg8PMHNv1tH25YEhIREVFICr+RHCIiogBw6v5fU2Pg1yzCGoscIiIiBZwmXJPjb/tww6NFREREIYkjOURERAo4ocHp54XD/rYPNyxyiIiIFGDisXqWnq7auXMnJk+ejJSUFGiaho0bN563zY4dO5CVlYXevXvjoosuwsqVK63sIhEREYUoS4ucU6dOYcSIEVi2bJlXyx89ehSTJk1CTk4OampqsHDhQtx3332orKy0sptERESW67zw2N+JvGfp6ar8/Hzk5+d7vfzKlSsxaNAglJaWAgCGDh2K6upqLFmyBLfccotFvbSILFRPFvZmJtF2JH3TREFaRvbHSOCe7NgIQ/oEAWyyPsiC/YRtDAT7GWljJAzQ7PeUKFhPlqUmbCN5vwlC/3RNljroeX2a2QF1ogA/I8da9lkQ9Vv2OXUK3jsRkmOgKgdP+H0gaRMm90U7YcLPOvCaHJ8EVUm4e/du5OXluc274YYbUF1djTNnznhs097ejra2NreJiIiIKKiKnObmZiQmJrrNS0xMREdHB44fP+6xTUlJCWJjY11Tamqqiq4SERH5RP/27ip/Jp0jOT4JqiIHALRzhjr1b4fAz53fqaioCK2tra6poaHB8j4SERH5qvNXyP2dyHtBdQt5UlISmpub3ea1tLSgR48e6N+/v8c2NpsNNptNRfeIiIgMY+KxekF1tLKzs7Ft2za3eVu3bsXIkSPRs2fPAPWKiIiIuiNLi5yTJ0+itrYWtbW1AM7eIl5bW4v6+noAZ081TZs2zbX8rFmz8Omnn6KgoAAHDhzAiy++iNWrV6OwsNDKbhIREVlO9emqkpISXH311YiOjkZCQgKmTJmCurq687YLpbw6S4uc6upqZGZmIjMzEwBQUFCAzMxMPProowCApqYmV8EDAGlpadiyZQuqqqrw/e9/H7/5zW/w7LPPdr/bx4mIiM7h70XHvv4sxI4dOzB37lzs2bMH27ZtQ0dHB/Ly8nDq1Clhm1DLq9N0XRRu0T21tbUhNjYWuZE3o4fm4RSXKAdGQhPlVcjWZXJOjibK2ZCtS5QfY3ZOjqhvsmwQQ/sjyq9hTk4w5ORowjbiRqKcHFkbCNpIc3IcguekbQQ5OaJ1AZLjJsuvMdA3Qa6MrvveRrifZ1foebaRTCLZnxpR3yT7oxvJ1vGwvg79DLY71qO1tRUxMTG+r9MLnX+XJm+dgZ59e/m1rjOn7Hg9b7Wh/n7++edISEjAjh07MHbsWI/LPPTQQ9i0aRMOHDjgmjdr1iz87//+L3bv3u1X3wMhqC48DiRhIaO0DwbC82RtjBAWdAaOj6FgP8n+CIs2WRtRaJqkTQ8DbQTFjC5Yl3R9kvei8JpDybEWjW5rsr8Rgj9Isow+0R8dTRIGKFyhQ1aIe26jd0g2I37KXKICyOzPj+h9IKlXxOvyPahQ9l1lqAAyQPSdbaj4UcSMu6M625+bCefNTTitra0AgLi4OOEyory61atX48yZM93u+tiguvCYiIgoVJl5TU5qaqpbRlxJSYl027quo6CgAGPGjMGwYcOEyxnJqwtmHMkhIiLqZhoaGtxOV51vFGfevHnYt28f3n777fOu29e8umDGIoeIiEgBM09XxcTEeH1Nzvz587Fp0ybs3LkTAwcOlC5rJK8umLHIISIiUsDMIscbuq5j/vz52LBhA6qqqpCWlnbeNtnZ2Xj99dfd5nXnvDpek0NERBSC5s6di4qKCqxduxbR0dFobm5Gc3MzTp8+7Vom1PPqWOQQEREpoMP/rBxf7h1bsWIFWltbMX78eCQnJ7umdevWuZYJ9bw6nq4iIiJSIBCnq86nvLy8y7xx48bhgw8+8KVbQYtFDhERkQKqixzi6SoiIiIKURzJ8YaBn4IICoJEUOFPN8hI01cN/ESDkZ/KEK1PlvYr6puRJGJZG1FKsiTB2dlDlGIt2R9RsrLJid2aKL1Y9DMMgDCaP6LD9+RrUaoxIE421iTfZsI2snRc4ftN9nMlop8nMPD5kSUHixKpJX3TI0Tp0sGbECw91rKfsAhSHMlRj0UOERGRAixy1OumQxREREREchzJISIiUkDXNeh+jsT42z7csMghIiJSoDPrxt91kPd4uoqIiIhCEkdyiIiIFOCFx+qxyCEiIlKA1+Sox9NVREREFJJCdyRHi7A+xE8WwCYJqNMMhecZaGOEkfUZCOkTPic7pqJjIAncgzA8T9JGEOzn7BkpbKILgv1EIYEA4BRtRxQSCEj2R9xE9A8/TZaDJ8pZkwTHRXQInhOF0AHQRCF9kveOaFdFgX8AoEWKQvoMfEfIfg9IeLCNfVf43sZAsJ+R7x1JUKHo+02XhRuKXgZZWKMRHv8mqPu3Pk9XqRe6RQ4REVEQ4ekq9VjkEBERKaCbMJLDIsc3vCaHiIiIQhJHcoiIiBTQIb+ky9t1kPdY5BARESnghAaNicdK8XQVERERhSSO5BARESnAu6vUY5FDRESkgFPXoDEnR6mwK3I0WdhcuDByDGTheUaC/URBjdJgMkEQniAg72wbUYCguI0owE8U+Cdr4+glCQMUPCcLAxQ9p0s+yYbCAAXBesLAPwC64DndLt6OOF5RHBynCwL8NGlIn+A1FYUEAuI/Rk4D7+sIAwGCss+cwyFoI+mboEmokX3H62aHC1LQC7sih4iIKBB03YS7q1in+YRFDhERkQK8Jkc93l1FREREIYkjOURERApwJEc9FjlEREQK8O4q9ZScrlq+fDnS0tLQu3dvZGVl4W9/+5tw2aqqKmia1mU6ePCgiq4SERFZovPCY38n8p7lRc66detw//334+GHH0ZNTQ1ycnKQn5+P+vp6abu6ujo0NTW5pksvvdTqrhIREVEIsfx01dKlSzFjxgzcc889AIDS0lK89dZbWLFiBUpKSoTtEhIS0K9fP6u7R0REpMTZkRh/r8kxqTMW27Rpk89trr/+ekRFRZnaD0uLHLvdjr179+LXv/612/y8vDzs2rVL2jYzMxPffPMNrrjiCjzyyCPIzc31uFx7ezva29tdj9va2vzveIjQRMFk8ka+zTeyLkAcWiZrY6BvoqBAXRK0pkeKwgDFbUShf06b720cNvH+OHp5ni8LEDQSBigK/Yu0i7cT2S5YoYG3jjgkENBFOYEOyQ4JQv80abCfgfeo6H1t5A+bkc+C5C+g6PtAD5eUwCAQThceT5kyxaflNU3DoUOHcNFFF5naD0tPVx0/fhwOhwOJiYlu8xMTE9Hc3OyxTXJyMlatWoXKykqsX78e6enpmDBhAnbu3Olx+ZKSEsTGxrqm1NRU0/eDiIiIfNPc3Ayn0+nV1KdPH0v6oOTuKu2cf3Xout5lXqf09HSkp6e7HmdnZ6OhoQFLlizB2LFjuyxfVFSEgoIC1+O2tjYWOkREFHT0byd/19EdTJ8+3adTTz//+c8RExNjej8sLXLi4+MRGRnZZdSmpaWly+iOzKhRo1BRUeHxOZvNBpvN5lc/iYiIrBZOp6vKysp8Wn7FihWW9MPS01W9evVCVlYWtm3b5jZ/27ZtGD16tNfrqampQXJystndIyIiIsUiI2VX3ZnL8tNVBQUFuPPOOzFy5EhkZ2dj1apVqK+vx6xZswCcPd3U2NiIl156CcDZu6+GDBmCjIwM2O12VFRUoLKyEpWVlVZ3lYiIyDrhdL5KQld4i5jlRc5tt92GL774Ao8//jiampowbNgwbNmyBYMHDwYANDU1uWXm2O12FBYWorGxEVFRUcjIyMDmzZsxadIkq7tKRERkHRNOVxm6Uy/IdF6T+84772DQoEH4zW9+g/b2dsyePRujRo0ydVtKLjyeM2cO5syZ4/G58vJyt8cLFizAggULFPSKiIhIHTMSi7tLTo43KioqcObMGTz55JOIjY3FL37xi+5Z5BARERF918GDB9G3b1/XjUjd7u4qIiIiOiuc7q7yRnFxsVucjBWXpbDI6WQkHTgYiBJWZYykF5u9PiPpxUYSaEXPCZKQAXFKslOSeKz3FKQX9xRvpyPK83MdvWVtPM939hQ2gVNwI0OEJOg24oznPvQ4LW6jiw6P5EtZcwqSokWpxgA0QbKxJnlNIUo2NvB+E2V8nW99Prcxcl5Cun3B+mTfIbIU6UATfWcLI7GDgK75f01NCBU548aNc3t84403mr4NFjlEREQUUEeOHMGyZcvwySefwOH4/3+BGfkNrO9ikUNERKQALzwWmzJlCubNm4ef/vSniJD8tqCvWOQQERGpwJwcob59++KXv/yl6etlkUNEREQBVVRUhIceegg//OEP3X6qydNvVvqCRQ4REZECvLtK7K233kJVVRUOHz7sOl2laRqLHCIiom4jRE83+WvHjh3Yv3+//O5FA7rpfdNEREQULKqqqjBv3jzU1tYCAP7rv/7Lp/Y/+MEPcOTIEdP7xZEcIiIiBUL5dNWzzz6LsrIylJSU4Pjx4/jggw98al9TU4Nhw4YhPT0dNpsNuq5D0zS89957fvWLRU53YXaAn4iJt+4ZCliUBZOJsr8kfRY9p0u2I3pOFBIIAM4enp9z2CTBfoLnzlwgbCJ87kxfcRu9pyA8TxD4BwA9TwnWJQgWPPukIDzPId6OKJBQ6zDw+kjfO4L3SIT43IEWIQiVk21HlEMn/SwYCK8T7Y9DkvBohKrvnXARwndX9e/fH7Gxsfjtb3+Lxx57DLt37/ap/WuvvWZJv3i6ioiISAnNpCn4/OxnP3P996JFi/Dggw/61P6FF15AbGwsBg8ejMGDByMmJgarVq3yu18scoiIiMgvhw8fxhdffOF6fMcdd/jU/o033kC/fv1cjy+88EK88cYbfveLRQ4REZEKuklTEKqtrcWIESNwww034MUXX8RXX33lU3uHw4GTJ0+6Hre1teHMmTN+94tFDhERkQohXOQsX74c9fX1+PWvf433338fw4cPx49+9COsWbMGra2t520/f/58XHvttXjqqafw1FNPIScnBw888IDf/WKRQ0RERH6LiIhAbm4uVqxYgfr6ejzwwANYunQpEhMTz9t25syZqKioQHR0NKKjo7F27Vr84he/8LtPvLuKiIhIBV0T3oXo0zqC3N/+9jf8+c9/xsaNGzF06FD8+7//u1fthg8fjuHDh5vaFxY5RERECoTyr5C//fbbWLduHTZu3Ij09HT89Kc/xaJFi9C/f/+A9ounq4iIiMgvjzzyCK644grs3bsX//3f/4177733vAXO9u3b/UpJ9gZHcrwhC/8ydTsm15xm9lsWCmZkO0ZCxswMJpOsSxw2J16dUxCSJwoJBACHzfP8jijxdtrjBP+MS/xG2CY6+rTH+SdOiDfU/s/eHudLg/3snudH2iUhipGe90f2URCG/pkdXKfqPSraH9lpCSP/nBdtx0h+oOwFMjOQUBq8GKRDGjIhHAZYVVXl+u93330XR44cwR133IEvv/wS//rXvzBw4MAubZ577jm/UpK9wZEcIiIiFTqvyfF3CmLFxcV48sknUVxcDAA4ffo0br/9do/Lfjcl+Z133vE5JdkbHMkhIiIiU2zcuBE1NTW46qqrAADf+973cOLECY/LnpuSfOmll5reHxY5RERECmj62cnfdQQzm+3seXjt21O3X3/9teu/z3Xddde5/nvLli3o168ftmzZ4poXExODK664AnFxcYb7w9NVREREKgQgDHDnzp2YPHkyUlJSoGkaNm7cKF2+qqoKmqZ1mQ4ePOjV9mbPno3bbrsNx48fxxNPPIGcnBwUFhaet92yZcswbdo0lJWVYfXq1Zg2bRqeeuopZGdn46WXXvJq255wJIeIiEiFAOTknDp1CiNGjMDdd9+NW265xet2dXV1iImJcT0eMGCAV+3uuusuXHPNNfif//kf6LqOV199FRkZGedtFxERgQMHDri28/nnn2PmzJl49913MWbMGEybNs3rvn8XixwiIqIQlZ+fj/z8fJ/bJSQkuP1g5vmMGzcOO3bsAAAMHToUQ4cO9Wl7H3/8sdtpqQsvvBCHDh1Cv3790LNnT5/W9V0scoiIiFQw8RbytrY2t9k2m811PYwZMjMz8c033+CKK67AI488gtzcXOny5/bHVzfffDOuvfZaTJ06FQDw2muvYerUqfjXv/6F9PR0w+tlkUNERKSCiUVOamqq2+xFixa5btv2R3JyMlatWoWsrCy0t7fjj3/8IyZMmICqqiqMHTtW2O748eNYvny58Pk5c+ZIt/vEE0/gpptuwq5du6DrOkpLS/GDH/wAAPDqq68a2xmwyKFgYyhMzffnZMF+wvVJgsmEAYKCkEAA0AWfPofnHL6zz8V0eJw/9qKPhW3WDN7pcf70T8VfWDtPX+Z5+yfEw8b6KcF82TEQHVNZCJyB11QTvqbiNsKQPLNDB4kMaGhocLtmxqxRnPT0dLeRk+zsbDQ0NGDJkiXSIqejowPHjx+H7sfvTjidTgwYMMAVIvjZZ595DBH0BYscIiIiFUwcyYmJiXErcqw0atQoVFRUSJdJTk7Go48+angbxcXF+OCDD3Dw4EHccccdrhDBt99+2/A6ARY5REREanTTXyGvqalBcnKydBl/RnAA30IEfcEih4iIKESdPHkShw8fdj0+evQoamtrERcXh0GDBqGoqAiNjY2uLJrS0lIMGTIEGRkZsNvtqKioQGVlJSorK6Xb2bt3r1/99CVE0BcscoiIiBQIROJxdXW1251RBQUFAIDp06ejvLwcTU1NqK+vdz1vt9tRWFiIxsZGREVFISMjA5s3b8akSZOk24nw8wemzw0RXLduHR566CG/1gkoKnKWL1+OxYsXo6mpCRkZGSgtLUVOTo5w+R07dqCgoAD79+9HSkoKFixYgFmzZqnoKhERkTUC8Cvk48ePl55KKi8vd3u8YMECLFiwwEDH/GM0RPB8LC9y1q1bh/vvvx/Lly/HtddeixdeeAH5+fn46KOPMGjQoC7LHz16FJMmTcLMmTNRUVGBd955B3PmzMGAAQN8SmskIiKi7sNIiOD5WF7kLF26FDNmzMA999wD4Oz5vrfeegsrVqxASUlJl+VXrlyJQYMGobS0FMDZna6ursaSJUtY5BAREYWQ7/4gpyfnO012PpYWOXa7HXv37sWvf/1rt/l5eXnYtWuXxza7d+9GXl6e27wbbrgBq1evxpkzZ7rEO7e3t6O9vd312N/URSIiIitoMOGaHFN6Ejz+/Oc/AwBaWlqwa9cuTJgwAbquY/v27Rg3blxwFznHjx+Hw+FAYmKi2/zExEQ0Nzd7bNPc3Oxx+c6goXNvYyspKcFjjz1mbseJiIjM1k1vIbdSWVkZAGDy5Mk4cOAAkpKSAJytBWbPnu33+v27HNpL594Gpuu69NYwT8t7mg8ARUVFaG1tdU0NDQ0m9JiIiIhUOXLkiNsvnffv3x91dXV+r9fSkZz4+HhERkZ2GbVpaWnpMlrTKSkpyePyPXr0QP/+/bssb/aPkhEREVkiAHdXdRe33HILRo8ejalTp0LTNGzYsAE/+clP/F6vpSM5vXr1QlZWFrZt2+Y2f9u2bRg9erTHNtnZ2V2W37p1K0aOHOnXz60TEREFlG7S1M15uqX9N7/5DZYtW4aoqCjYbDY899xzePzxx/3eluV3VxUUFODOO+/EyJEjkZ2djVWrVqG+vt6Ve3Nu2uKsWbOwbNkyFBQUYObMmdi9ezdWr16NV155xequEhERkQn27duHYcOGeQwJdDqdXebt378fmZmZuPrqq03th+VFzm233YYvvvgCjz/+OJqamjBs2DBs2bIFgwcPBoAuaYtpaWnYsmULHnjgATz//PNISUnBs88+y9vHiYioWwtE4nGgZGZmorm52e06G5ns7GzU1tbioosuMrUfShKP58yZgzlz5nh87ty0RQAYN24cPvjgA4t7RUREpFAYXZOj6zr+4z/+A3369PFqebvdbkk/+NtVREREZKqxY8f6dHdUdnY2oqKiTO8HixwiIiIVwmgkp6qqKtBdAMAih4iISIlwuiYnWLDIoeAi+bVcoa4X6p/3Oc1AGzjFfdMEz2kOSehlh+f5kd8ImyCyzfNH9p2PxRfrZX6e7HH+iRPioWHRdmR9E+2P5pC0ER1TybE29zWVtBEx8h4looBgkUNERKQCf9ZBORY5REREKoTRNTnBQslvVxEREYW7zmty/J1ChdPpdMvJswJHcoiIiMgyZWVlWLduHT799FPExMQgJycHDzzwAHr06IG0tDQ4HJIL9/zEkRwiIiIVwuy3qxwOB2666SbMmjULUVFRuPHGGzFixAj85S9/wdChQ/Hmm29a3geO5BAREalgxummblTk/P73v8e7776L2tpaDB061DXf6XRi6dKluPfeey3vA4scIiIiMl15eTkWL17sVuAAQEREBAoLC6HrOh566CFL+8DTVURERCqE2emqI0eOYNSoUcLnH3zwQY+/SG4mjuR4QxRMFmFyXoHsxY6MNLA+Qb8jDfRbFoAmPD4G12dmGwPrEgb7SV6eCMF1cxEd4u1Etnt+HXqcFm/H9qXnNmfaxcF+J3v29ty3M+L3Qc9TnufL+hbZ7nm+7BiIjpvsWAsDBM0O6VP1HlW1P7KARZ/XZe0fpv/fTjf6i+6NMLuFvG/fvvj8889x6aWXeny+trYWzz77LF588UXL+sCRHCIiIjLduHHjsHLlSo/PNTc34/bbb8eaNWss7QOLHCIiIgXCLSdn0aJFqKysxPTp0/H3v/8d33zzDY4dO4YXXngBV199NQYMGGB5H1jkEBERkemuvPJKbNmyBW+//TZGjBiBvn37IjU1Fffddx9+9rOfYe3atdAt/i04XpNDRERElhg3bhwOHTqEd999F5988gliYmKQnZ2NuLg4nDp1CosWLbJ0+yxyiIiIVAizC487RUREIDs7G9nZ2W7z+/btyyKHiIgoFJhxTU13uSanoKDA62WXLl1qWT9Y5BAREanSTYoUf9XU1Lg93rt3LxwOB9LT0wEA//jHPxAZGYmsrCxL+8Eih4iIiEy1fft2138vXboU0dHRWLNmDS688EIAwFdffYW7774bOTk5lvaDRU53IbwCXVEgoZEwQl0WGCa4sU8W/iVYnSYLJnMKjo9oPiRhgA5JqJ0g8E4UkAcAeqRgfZqkb4LwvB7/Em/HKQh/FAXxAUDEGcF2JGGAPdpFx8D34yY71uKwRlkbz+8R+XtHNN9ISKDJ4XmqwvgsvvMl7ITpNTnPPPMMtm7d6ipwAODCCy/EE088gby8PPzqV7+ybNu8hZyIiEiBcMvJ6dTW1oZ//vOfXea3tLTgxIkTlm6bRQ4RERFZZurUqbj77rvxl7/8BZ999hk+++wz/OUvf8GMGTNw8803W7ptnq4iIiJSIUxPV61cuRKFhYX4+c9/jjNnzp4L79GjB2bMmIHFixdbum0WOURERAqE0y3k39WnTx8sX74cixcvxpEjR6DrOi655BL07dvX8m3zdBURERGZbuHChXjvvfdcj/v27Ysrr7zS9RMPKrDIISIiUkE3aeommpqa8OMf/xjJycm49957sXnzZrS3S245tQCLHCIiIhXCrMgpKyvDP//5T/zpT39Cv3798Ktf/Qrx8fG4+eabUV5ejuPHj1veBxY5REREZAlN05CTk4Onn34aBw8exHvvvYdRo0bhD3/4A773ve9h7NixWLJkCRobGy3ZPi887iQL69KCuBaUBZOJ8vtkAV+SIDohI4FhojaSdWmC53TZ9kXPycLmBM9FdIjfI7rgLRIZIXnvnBaF2ombRHR4nu/sIX7ddMFTsgsYheGGdnEbUehf5BnJsT7jeWdlx1oYFCh5Tc18v0nf72Z+Fowwsi4j4YbBwOyARQXC9cLj7xo6dCiGDh2KBQsWoKWlBa+//jo2bdoEACgsLDR9eyxyiIiIVAjTW8hFEhISMGPGDMyYMcOybbDIISIiUiHMihxvgv569OiBpKQkXH/99Zg8ebLpfQji8zBERETUXcXGxp53ioqKwqFDh3Dbbbfh0UcfNb0PHMkhIiJSINyuySkrK/N62c2bN2P27Nl4/PHHTe2DpUXOV199hfvuu891UdGNN96I5557Dv369RO2ueuuu7BmzRq3eddccw327NljZVeJiIisFUanqwoKCrxedunSpbj22msxcuRI0/thaZFzxx134LPPPsObb74JALj33ntx55134vXXX5e2mzhxolsF2KtXLyu7SURERCaqqalxe7x37144HA6kp6cDAP7xj38gMjISWVlZAIB+/fph/fr1pvfDsiLnwIEDePPNN7Fnzx5cc801AIA//OEPyM7ORl1dnWtHPbHZbEhKSrKqa0RERMqF0+mq7du3u/576dKliI6Oxpo1a3DhhRcCOHum5+6770ZOTo6l/bDswuPdu3cjNjbWVeAAwKhRoxAbG4tdu3ZJ21ZVVSEhIQGXXXYZZs6ciZaWFuGy7e3taGtrc5uIiIiCTpglHnd65plnUFJS4ipwAODCCy/EE088gWeeecbSbVtW5DQ3NyMhIaHL/ISEBDQ3Nwvb5efn4+WXX8Zf//pXPPPMM3j//fdx3XXXCX/voqSkxO1K7dTUVNP2gYiIiPzT1taGf/7zn13mt7S04MSJE5Zu2+fTVcXFxXjssceky7z//vsAzsY5n0vXdY/zO912222u/x42bBhGjhyJwYMHY/PmzR7vuS8qKnK7wKmtrY2Fzrd0QSKoJoxChqFkWGFKsqyNKGVVNhZrJLVWlIIrixV2eN4fTZA2DIjDpaVEXRNsHwAi7J6f03uIj4GRxGPRvoqSkGXPRdjFxzpS8JwmTTwWtHEaSEk2kl5s5H1tdhKygfWJvg9IoTC68Pi7pk6dirvvvhvPPPMMRo0aBQDYs2cPHnzwQa+ydPzhc5Ezb9483H777dJlhgwZgn379nms3D7//HMkJiZ6vb3k5GQMHjwYhw4d8vi8zWaDzWbzen1ERESBoH07+buO7mblypUoLCzEz3/+c5w5cwbA2RDAGTNmYPHixZZu2+ciJz4+HvHx8eddLjs7G62trXjvvffwgx/8AADw7rvvorW1FaNHj/Z6e1988QUaGhqQnJzsa1eJiIgowPr06YPly5dj8eLFOHLkCHRdxyWXXIK+fftavm3LrskZOnQoJk6ciJkzZ2LPnj3Ys2cPZs6ciR//+Mdud1Zdfvnl2LBhAwDg5MmTKCwsxO7du/HJJ5+gqqoKkydPRnx8PKZOnWpVV4mIiKwXphced+rbty+uvPJKjBgxQkmBA1j8sw4vv/wyhg8fjry8POTl5eHKK6/EH//4R7dl6urq0NraCgCIjIzEhx9+iJtuugmXXXYZpk+fjssuuwy7d+9GdHS0lV0lIiKyVOct5P5O5D1LwwDj4uJQUVEhXUb/zgV0UVFReOutt6zsEhERUWCE6YXHgcQf6CQiIqKQxB/oJCIiUoUjMUqxyCEiIlIgnH7WIViEXZGjC8K6tIjumD5gkCiwDAAiBcdBErQmDAOUbUcUxidKrpOsTxj0BkAXbUcSuKcJ2shCLAHPbWQhgaKuaT3E24kUvD665MSzoTBA0cstOdbCMEBZsJ/gOU0SOigMCpT0TfT+lb13DAX7iQL3ZJ8F0fpknzkR2XbChOg7nsJT2BU5REREAcELj5XjhcdEREQKBOIW8p07d2Ly5MlISUmBpmnYuHHjedvs2LEDWVlZ6N27Ny666CKsXLnS2A4HARY5REREIerUqVMYMWIEli1b5tXyR48exaRJk5CTk4OamhosXLgQ9913HyorKy3uqTV4uoqIiEiFAJyuys/PR35+vtfLr1y5EoMGDUJpaSmAs79eUF1djSVLluCWW27xbeNBgCM5RERECph5uqqtrc1tam9vN6WPu3fvRl5entu8G264AdXV1a4f1+xOWOQQERF1M6mpqYiNjXVNJSUlpqy3ubkZiYmJbvMSExPR0dGB48ePm7INlXi6ioiISAUTT1c1NDQgJibGNdtms/m54v93blxG588vyWM0ghOLHCIiIhVMLHJiYmLcihyzJCUlobm52W1eS0sLevTogf79+5u+PauFbpGjO+ExoE0z8QydLHRKFs4mCiaLkDQSBYPJ2sBA1S0KJpNV8KI20tA0UQCakYQ6CUG/RYF/AKB3eJ4vO9K6II1PlA0HQLivER3iY60LwwDN/ReWZiB4Ubw/kmA/hygMUHLgRAGCsvA8Ub8F2wcg/swZCfYz8lmQMdLGyLpEx0DSRvT9Jt+OovAXTx9I6YfUXN0h8Tg7Oxuvv/6627ytW7di5MiR6Nmzp7UbtwCvySEiIgpRJ0+eRG1tLWprawGcvUW8trYW9fX1AICioiJMmzbNtfysWbPw6aefoqCgAAcOHMCLL76I1atXo7CwMBDd91vojuQQEREFkwDcQl5dXY3c3FzX44KCAgDA9OnTUV5ejqamJlfBAwBpaWnYsmULHnjgATz//PNISUnBs88+2y1vHwdY5BARESmh6To0P081+tp+/PjxrguHPSkvL+8yb9y4cfjggw987VpQ4ukqIiIiCkkcySEiIlKBP9CpHIscIiIiBbrD3VWhhqeriIiIKCRxJIeIiEgFnq5SjkWON0RhUWYGC1pBELClR4jDrzREen7CSGCYLEBQFP4lC/zTBeuT9E0UECcK/AMATfCpkLYxEAIX4RS8fyTBfoLMQemxFh026bC3oN/SPEZRgKAkpE8Y+icJHRSuTxIgKGxjJKRPFh4nel+bHLgnohvpWzBTGNSnAk9XqRfkf6WJiIiIjOFIDhERkQo8XaUcixwiIiIFeLpKPRY5REREKnAkRzlek0NEREQhiSM5REREivB0k1oscoiIiFTQdUPRAF3WQV7j6SoiIiIKSRzJISIiUoB3V6nHIudbuiQNVJMk0JrbB0lia4Rg0E3SBpGC9GIZ0XGQjfmJ0naNpMk61CScyl5RUbKxFinbH8EBkqUxRwgSqSXpxcKQbVm6tBGifkteHmHqs+x9LUo2lr2vBW1kycrC95W0jcO3dQGSlGQDf5mkKckm/qWTHQNBH2TfVarIvrODFu+uUo6nq4iIiCgkcSSHiIhIAc15nt9/83Id5D1LR3KefPJJjB49Gn369EG/fv28aqPrOoqLi5GSkoKoqCiMHz8e+/fvt7KbRERE1tNNmshrlhY5drsdt956K2bPnu11m6effhpLly7FsmXL8P777yMpKQnXX389Tpw4YWFPiYiIKNRYWuQ89thjeOCBBzB8+HCvltd1HaWlpXj44Ydx8803Y9iwYVizZg3+9a9/Ye3atVZ2lYiIyFKdd1f5O5H3gurC46NHj6K5uRl5eXmueTabDePGjcOuXbs8tmlvb0dbW5vbREREFHQ6wwD9nchrQVXkNDc3AwASExPd5icmJrqeO1dJSQliY2NdU2pqquX9JCIi8hVHctTzucgpLi6GpmnSqbq62q9Oaedkfui63mVep6KiIrS2trqmhoYGv7ZNREREocHnW8jnzZuH22+/XbrMkCFDDHUmKSkJwNkRneTkZNf8lpaWLqM7nWw2G2w2m6HtWUoWVBXEgW56hOcnNaekHhb900IWGGZkX4UBgoLQNoM00WsnCvwDoAuCAjWnZD8FYYDSY2Nk7NVIWKOIyWGAoj4IQwIBcRifNDxP0Eb23jES7GfiMZB9h+i6KNzQQN/MZmB/wgbDAJXzuciJj49HfHy8FX1BWloakpKSsG3bNmRmZgI4e4fWjh078Lvf/c6SbRIREanAn3VQz9Jrcurr61FbW4v6+no4HA7U1taitrYWJ0+edC1z+eWXY8OGDQDOnqa6//778dRTT2HDhg34+9//jrvuugt9+vTBHXfcYWVXiYiIKMRYmnj86KOPYs2aNa7HnaMz27dvx/jx4wEAdXV1aG1tdS2zYMECnD59GnPmzMFXX32Fa665Blu3bkV0dLSVXSUiIrKWGXdH8e4qn1ha5JSXl6O8vFy6jH7OC6ZpGoqLi1FcXGxdx4iIiBTj6Sr1guoWciIiIiKz8Ac6iYiIVODdVcqxyCEiIlKAp6vU4+kqIiIiCknhN5IjCtHSDNR7onUZXZ90U4KQvgjJdkQBZNI2gvmR4iaGrvYXhbBFSjYkCoGLlOyPkaBAA0GFmi5oI1mXLvgnmfStI1qfqiBJaeCe59nCkEDZ+mTBcaL3tWw7oveBtI2i7RgKZTTy+vi+P6LvHdPJvksDuS6zOXX/QxEZquiT8CtyiIiIAoHX5CjHIoeIiEgBDSZck2NKT8IHr8khIiKikMSRHCIiIhWYeKwcixwiIiIFeAu5ejxdRURERCGJIzlEREQq8O4q5VjkEBERKaDpujw3yst1kPdCtsjRnbrHsDUtwvcb8HRB+JKRdQEQhzkZCYFTRJcEbGlOQceNnAyVhfeJggJFoW2AseMmSuOTBq35HtKniZ6Tva8C/D6QHwMDAXWGQgdFbSTvAyPBfqLnZO9RE/dH9pkLOCOvj5HNmBx852l9OouGkBayRQ4REVFQcUKcKu/LOshrLHKIiIgU4Okq9Xh3FREREYUkjuQQERGpwLurlGORQ0REpAITj5VjkUNERKQAE4/V4zU5REREFJI4kkNERKQCT1cpxyKHiIhIAc15dvJ3HeQ9FjmdZOmiogRcpesTpKI6JUnEEYLtSNpA2EbcRI/w/KQwCRkwNw1Z1GfZc7KU5AhRaq0siViU+mwgvVj2JRbMicdG2hhJLxatT5aOK2wj2Y7oOSMpyZK+CZONzd4fA98hpo4amJ3gHMyJ0BQ0WOQQERGpwNNVyrHIISIiUoE5Ocrx7ioiIiIKSRzJISIiUoC/XaUeixwiIiIVeE2OcjxdRURERCGJIzlEREQq6JBHRHi7DvIaixwiIiIFeE2OemFX5OiCgC1NFtrm47qMrk8a/mVkfSLScDbBPzNkgXuizDRBSCAgCQo0cgJVFmYm7IDkeIpC/2RtjAQIihgJiwwGRsLZzAz2MxTSZyAIz0C4oTDwT9LG0OdU1R9A2etjgOy7NJDrMp0OE67J8b3J8uXLsXjxYjQ1NSEjIwOlpaXIycnxuGxVVRVyc3O7zD9w4AAuv/xy3zceYN3025SIiIjOZ926dbj//vvx8MMPo6amBjk5OcjPz0d9fb20XV1dHZqamlzTpZdeqqjH5rK0yHnyyScxevRo9OnTB/369fOqzV133QVN09ymUaNGWdlNIiIi63XeXeXv5IOlS5dixowZuOeeezB06FCUlpYiNTUVK1askLZLSEhAUlKSa4qMjPRnzwPG0iLHbrfj1ltvxezZs31qN3HiRLcKcsuWLRb1kIiISBGnSROAtrY2t6m9vb3L5ux2O/bu3Yu8vDy3+Xl5edi1a5e0q5mZmUhOTsaECROwfft2o3sccJZek/PYY48BAMrLy31qZ7PZkJSUZEGPiIiIur/U1FS3x4sWLUJxcbHbvOPHj8PhcCAxMdFtfmJiIpqbmz2uNzk5GatWrUJWVhba29vxxz/+ERMmTEBVVRXGjh1r6j6oEJQXHldVVSEhIQH9+vXDuHHj8OSTTyIhIcHjsu3t7W4VbFtbm6puEhERec3Mu6saGhoQExPjmm+z2cRtzrlpQtf1LvM6paenIz093fU4OzsbDQ0NWLJkSbcscoLuwuP8/Hy8/PLL+Otf/4pnnnkG77//Pq677jqPQ3EAUFJSgtjYWNd0bnVLREQUFEy8JicmJsZt8lTkxMfHIzIyssuoTUtLS5fRHZlRo0bh0KFD/u17gPhc5BQXF3e5MPjcqbq62nCHbrvtNvzoRz/CsGHDMHnyZLzxxhv4xz/+gc2bN3tcvqioCK2tra6poaHB8LaJiIhCRa9evZCVlYVt27a5zd+2bRtGjx7t9XpqamqQnJxsdveU8Pl01bx583D77bdLlxkyZIjR/nSRnJyMwYMHC6tIm80mHaYjIiIKCgH47aqCggLceeedGDlyJLKzs7Fq1SrU19dj1qxZAM4OFDQ2NuKll14CAJSWlmLIkCHIyMiA3W5HRUUFKisrUVlZ6V+/A8TnIic+Ph7x8fFW9MWjL774Ag0NDYGtIkVBXpLQNnlQoO/rE4ZvSZrogsAwTRbsZyQ0TbQ+Wc6a4BgIQwIBdUGBov0xEiAoI1yf7FibGApphJGgNSNf6mYH+5m6HXEbYeifkXBDI0GFEqLvAyPhhufZkGC2eevqtgJQ5Nx222344osv8Pjjj6OpqQnDhg3Dli1bMHjwYABAU1OTW2aO3W5HYWEhGhsbERUVhYyMDGzevBmTJk3yr98BYumFx/X19fjyyy9RX18Ph8OB2tpaAMAll1yCCy64AABw+eWXo6SkBFOnTsXJkydRXFyMW265BcnJyfjkk0+wcOFCxMfHY+rUqVZ2lYiIKCTNmTMHc+bM8fjcuXc/L1iwAAsWLFDQKzUsLXIeffRRrFmzxvU4MzMTALB9+3aMHz8ewNlUxdbWVgBAZGQkPvzwQ7z00kv4+uuvkZycjNzcXKxbtw7R0dFWdpWIiMhaTgD+DsaG2OCW1SwtcsrLy8+bkaN/Z+gtKioKb731lpVdIiIiCgj+QKd6QZmTQ0REFHICcE1OuAu6nBwiIiIiM3Akh4iISAWnDmh+jsQYuUstjLHIISIiUoGnq5Tj6SoiIiIKSaE7kqN/5zfpv0sQuCcP7xPc8ycLqpIF+4mYvj7P+yQMBcN5ggJFROuTrUuUSyYKSoQsKFDyLxvRaycL9lMWIGgkHC3AYYBm/ysyiIP9xKuS9E20Pmngnnn3BMs+26a+dmaH9BlYn2nhgkoDB00YyZF931EXoVvkEBERBROerlKOp6uIiIgoJHEkh4iISAWnDr9PN/HuKp+wyCEiIlJBd/p/DVCo/WipxXi6ioiIiEISR3KIiIhU4IXHyrHIISIiUoHX5CjHIoeIiEgFjuQox2tyiIiIKCRxJCcAREmdwmTls408zxemAEOc9iv5l4AoMdXUJGRAnBAsC2yFQ7Au8XFTlpLsEPRN1ka4fcmxDuZ/xZmdUuxrG1XpxfIVCtZlbhKxMNnYyPGU7aeqJOJwocOEkRxTehI2WOQQERGpwNNVyvF0FREREYUkjuQQERGp4BT8cLTP6yBvscghIiJSgaerlOPpKiIiIgpJHMkhIiJSgSM5yrHIISIiUoGJx8rxdBURERGFpPAbyRGFW2nies/U8D7JtmQhWsJtScPMBPsk7bfnPgjDxyAJCpQNq4rWZyh0UPyUHuH7nQimBgjKjoEoKFAULNhdmR1QJ9yMgbtOpEF4RvptXkif7DNn6jFVFfgXxNtRRdedxt6n56yDvBd+RQ4REVEg6Lr/p5t4TY5PWOQQERGpoJtwTQ6LHJ/wmhwiIiIKSRzJISIiUsHpBDQ/r6nhNTk+YZFDRESkAk9XKcfTVURERBSSOJJDRESkgO50QvfzdBVvIfcNixwiIiIVeLpKORY5nVSF98m2pSqQUBh2B0OhdtLQMgFhgKCBdUkDBB2CfouC+ADoEITxyY61oIkmeU39/rL7LlnfjFAUHW96gJ94Qwa2Y6BvBsI0fV2XlDTcMHjD+EIt9I+Ch2XX5HzyySeYMWMG0tLSEBUVhYsvvhiLFi2C3W6XttN1HcXFxUhJSUFUVBTGjx+P/fv3W9VNIiIiNZy6ORN5zbIi5+DBg3A6nXjhhRewf/9+/P73v8fKlSuxcOFCabunn34aS5cuxbJly/D+++8jKSkJ119/PU6cOGFVV4mIiKyn62dHoPyaWOT4wrLTVRMnTsTEiRNdjy+66CLU1dVhxYoVWLJkicc2uq6jtLQUDz/8MG6++WYAwJo1a5CYmIi1a9fil7/8pVXdJSIiohCj9Bby1tZWxMXFCZ8/evQompubkZeX55pns9kwbtw47Nq1y2Ob9vZ2tLW1uU1ERETBRnfqpkzkPWVFzpEjR/Dcc89h1qxZwmWam5sBAImJiW7zExMTXc+dq6SkBLGxsa4pNTXVvE4TERGZxe9TVU5ecO0jn4uc4uJiaJomnaqrq93aHDt2DBMnTsStt96Ke+6557zb0M6580XX9S7zOhUVFaG1tdU1NTQ0+LpLREREluNIjno+X5Mzb9483H777dJlhgwZ4vrvY8eOITc3F9nZ2Vi1apW0XVJSEoCzIzrJycmu+S0tLV1GdzrZbDbYbDYve09EREThwuciJz4+HvHx8V4t29jYiNzcXGRlZaGsrAwRsjwTAGlpaUhKSsK2bduQmZkJALDb7dixYwd+97vfebVN/dsrzztwxsQYEt/P6mm6kdwSVduRZeuYvD5RC120rwa2L1yXtAe+N3Ea2E9pTo6Zwignx8jdJYbamJiTEwz7aWB9uqLjpmo7nnTgjPE++Lotvd3vfnf2l7ykW6SxsVG/5JJL9Ouuu07/7LPP9KamJtf0Xenp6fr69etdj3/729/qsbGx+vr16/UPP/xQ/9nPfqYnJyfrbW1tXm23oaGhM1KSEydOnDhx8mpqaGgw9W/gd50+fVpPSkoyra9JSUn66dOnLetvKLHsFvKtW7fi8OHDOHz4MAYOHOj2nP6dirmurg6tra2uxwsWLMDp06cxZ84cfPXVV7jmmmuwdetWREdHe7XdlJQUNDQ0IDo6Gpqmoa2tDampqWhoaEBMTIw5O9fN8BjwGAA8BgCPAcBjALgfg+joaJw4cQIpKSmWba937944evToecNwvdWrVy/07t3blHWFOk3XQztZqK2tDbGxsWhtbQ3rDzSPAY8BjwGPAcBjAPAYhBOlOTlEREREqrDIISIiopAU8kWOzWbDokWLwvo2cx4DHgOAxwDgMQB4DAAeg3AS8tfkEBERUXgK+ZEcIiIiCk8scoiIiCgkscghIiKikMQih4iIiEJSWBU5N954IwYNGoTevXsjOTkZd955J44dOxbobinzySefYMaMGUhLS0NUVBQuvvhiLFq0yLQUzu7iySefxOjRo9GnTx/069cv0N1RYvny5UhLS0Pv3r2RlZWFv/3tb4HuklI7d+7E5MmTkZKSAk3TsHHjxkB3SbmSkhJcffXViI6ORkJCAqZMmYK6urpAd0upFStW4Morr0RMTAxiYmKQnZ2NN954I9DdIguFVZGTm5uLP/3pT6irq0NlZSWOHDmCn/zkJ4HuljIHDx6E0+nECy+8gP379+P3v/89Vq5ciYULFwa6a0rZ7XbceuutmD17dqC7osS6detw//334+GHH0ZNTQ1ycnKQn5+P+vr6QHdNmVOnTmHEiBFYtmxZoLsSMDt27MDcuXOxZ88ebNu2DR0dHcjLy8OpU6cC3TVlBg4ciN/+9reorq5GdXU1rrvuOtx0003Yv39/oLtGFgnrW8g3bdqEKVOmoL29HT179gx0dwJi8eLFWLFiBT7++ONAd0W58vJy3H///fj6668D3RVLXXPNNbjqqquwYsUK17yhQ4diypQpKCkpCWDPAkPTNGzYsAFTpkwJdFcC6vPPP0dCQgJ27NiBsWPHBro7ARMXF4fFixdjxowZge4KWSCsRnK+68svv8TLL7+M0aNHh22BAwCtra2Ii4sLdDfIIna7HXv37kVeXp7b/Ly8POzatStAvaJg0PnDyOH6+Xc4HHj11Vdx6tQpZGdnB7o7ZJGwK3Ieeugh9O3bF/3790d9fT1ee+21QHcpYI4cOYLnnnsOs2bNCnRXyCLHjx+Hw+FAYmKi2/zExEQ0NzcHqFcUaLquo6CgAGPGjMGwYcMC3R2lPvzwQ1xwwQWw2WyYNWsWNmzYgCuuuCLQ3SKLdPsip7i4GJqmSafq6mrX8g8++CBqamqwdetWREZGYtq0aejuZ+x8PQYAcOzYMUycOBG33nor7rnnngD13DxGjkE40TTN7bGu613mUfiYN28e9u3bh1deeSXQXVEuPT0dtbW12LNnD2bPno3p06fjo48+CnS3yCI9At0Bf82bNw+33367dJkhQ4a4/js+Ph7x8fG47LLLMHToUKSmpmLPnj3derjS12Nw7Ngx5ObmIjs7G6tWrbK4d2r4egzCRXx8PCIjI7uM2rS0tHQZ3aHwMH/+fGzatAk7d+7EwIEDA90d5Xr16oVLLrkEADBy5Ei8//77+M///E+88MILAe4ZWaHbFzmdRYsRnSM47e3tZnZJOV+OQWNjI3Jzc5GVlYWysjJERHT7wTwA/r0PQlmvXr2QlZWFbdu2YerUqa7527Ztw0033RTAnpFquq5j/vz52LBhA6qqqpCWlhboLgUFXde7/d8AEuv2RY633nvvPbz33nsYM2YMLrzwQnz88cd49NFHcfHFF3frURxfHDt2DOPHj8egQYOwZMkSfP75567nkpKSAtgzterr6/Hll1+ivr4eDocDtbW1AIBLLrkEF1xwQWA7Z4GCggLceeedGDlypGv0rr6+PqyuxTp58iQOHz7senz06FHU1tYiLi4OgwYNCmDP1Jk7dy7Wrl2L1157DdHR0a7RvdjYWERFRQW4d2osXLgQ+fn5SE1NxYkTJ/Dqq6+iqqoKb775ZqC7RlbRw8S+ffv03NxcPS4uTrfZbPqQIUP0WbNm6Z999lmgu6ZMWVmZDsDjFE6mT5/u8Rhs37490F2zzPPPP68PHjxY79Wrl37VVVfpO3bsCHSXlNq+fbvH13z69OmB7poyos9+WVlZoLumzC9+8QvX52DAgAH6hAkT9K1btwa6W2ShsM7JISIiotAVGhdkEBEREZ2DRQ4RERGFJBY5REREFJJY5BAREVFIYpFDREREIYlFDhEREYUkFjlEREQUkljkEBERUUhikUNEREQhiUUOERERhSQWOURERBSSWOQQERFRSPo/NrjTNAGfQSMAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.figure()\n", "plt.pcolormesh(longitude_values.value, latitude_values.value, diffJ_values.T)\n", "plt.colorbar(label=r\"dJ/d$\\Omega$ [\"+u.Unit(einasto_profile.diffJ_units).to_string('latex')+r\"]\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You _can_ change the output value on this level either through the `diffJ_units` or `diffD_units` attributes/class parameters." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from gammabayes.dark_matter.density_profiles import Einasto_Profile, Burkert_Profile\n", "\n", "\n", "diffJ_unit_einasto_profile = Einasto_Profile(diffJ_units='GeV2 cm-5 deg-2')\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "longitude_values = np.linspace(-3, 3, 61)*u.deg\n", "latitude_values = np.linspace(-2, 2, 40)*u.deg\n", "\n", "lon_mesh, lat_mesh = np.meshgrid(longitude_values, latitude_values, indexing='ij')\n", "\n", "diffJ_values = np.exp(diffJ_unit_einasto_profile(lon_mesh.flatten(), lat_mesh.flatten()).reshape(lon_mesh.shape))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.pcolormesh(longitude_values.value, latitude_values.value, diffJ_values.T)\n", "plt.colorbar(label=r\"dJ/d$\\Omega$ [\"+u.Unit(diffJ_unit_einasto_profile.diffJ_units).to_string('latex')+r\"]\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final consideration here is that we cannot currently support probing the exact centre of the dark matter profiles due to a small thing involving how the integration over the line of sight is done. We hope to also fix this soon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `CombineDMComps`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we know how to instantiate the individual components, then all we need to do is put them in the `CombineDMComps` class which inherits from the `TwoCompFluxPrior` class thus takes the same initial arguments besides the function which is handled by `CombineDMComps`." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:121: RuntimeWarning: divide by zero encountered in log\n", " self.log_normalisations = np.logaddexp(self.log_normalisations, np.log(annihilation_fractions[channel]))\n", "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:126: RuntimeWarning: divide by zero encountered in log\n", " new_annihilation_fractions = np.exp(np.log(annihilation_fractions[channel])-self.log_normalisations)\n" ] } ], "source": [ "from gammabayes.dark_matter import CombineDMComps\n", "from gammabayes import GammaBinning\n", "from gammabayes.likelihoods.irfs import IRF_LogLikelihood\n", "\n", "true_binning_geometry = GammaBinning(energy_axis=np.logspace(-1,2,181)*u.TeV, lon_axis=np.linspace(-4, 4, 81)*u.deg, lat_axis=np.linspace(-3, 3, 60)*u.deg)\n", "recon_binning_geometry = GammaBinning(energy_axis=np.logspace(-1,2,91)*u.TeV, lon_axis=np.linspace(-4, 4, 41)*u.deg, lat_axis=np.linspace(-3, 3, 30)*u.deg)\n", "\n", "pointing = np.array([0.,0.])*u.deg\n", "obs_time = 0.5*u.hr\n", "\n", "irf_loglike = IRF_LogLikelihood(\n", " pointing_dir=pointing,\n", " observation_time=obs_time,\n", " binning_geometry=recon_binning_geometry, true_binning_geometry=true_binning_geometry)\n", "\n", "dm_prior = CombineDMComps(\n", " binning_geometry=true_binning_geometry,\n", " pointing_dir=pointing,\n", " observation_time = obs_time,\n", " spectral_class=Z2_ScalarSinglet, spatial_class=Einasto_Profile, irf_loglike=irf_loglike)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/site-packages/gammabayes/dark_matter/spectral_models/core/base_spectral_class.py:223: RuntimeWarning: divide by zero encountered in log\n", " log_channel_comp = np.log(channel_comp) - np.log((energy*u.TeV).to(self.inverse_output_unit).value) - np.log(np.log(10))\n" ] }, { "data": { "text/plain": [ "(
,\n", " array([,\n", " ,\n", " ],\n", " dtype=object))" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dm_prior.peek(figsize=(16,4), norm='log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll notice that the outputs are extremely high, this is because I'm not exactly getting the flux of dark matter, that would require multiplying the values by $\\langle\\sigma v\\rangle/(m_\\chi^2 S_\\chi)$ among some other misc constant values. For 99% of the work with this pipeline, the fluxes are normalised anyway so these constants would fall and would just increase the computation time for little reason.\n", "\n", "This overall normalisation being so large does mean that when sampling the dark matter distribution we highly highly highly recommend you specify the number of counts rather than leave it to the normalisation." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "dark_matter_obs = dm_prior.sample(numsamples=1e4)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([,\n", " ],\n", " dtype=object)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dark_matter_obs.peek(figsize=(10,4), count_scaling='log')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `CustomDMRatiosModel`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I relatively new feature of `GammaBayes` (Sep 2024) is a dark matter model-independent dark matter model, where you don't presume some underlying physical model but just presume dark matter will annihilate or decay into some combination of the channels mentioned above. \n", "\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'W+W-': Discrete log prior class\n", " --------------------\n", " Name: W+W- DM Class\n", " Logfunction type: method\n", " Input units: None,\n", " 'ZZ': Discrete log prior class\n", " --------------------\n", " Name: ZZ DM Class\n", " Logfunction type: method\n", " Input units: None,\n", " 'HH': Discrete log prior class\n", " --------------------\n", " Name: HH DM Class\n", " Logfunction type: method\n", " Input units: None,\n", " 'tt': Discrete log prior class\n", " --------------------\n", " Name: tt DM Class\n", " Logfunction type: method\n", " Input units: None}" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from gammabayes.dark_matter import CustomDMRatiosModel\n", "\n", "\n", "custom_ratios_model = CustomDMRatiosModel(\n", " irf_loglike=irf_loglike,\n", " axes=true_binning_geometry.axes,\n", " binning_geometry=true_binning_geometry,\n", " pointing_dir=pointing,\n", " observation_time=obs_time,\n", " channels=['W+W-', 'ZZ', 'HH', 'tt'],\n", " spatial_class=Einasto_Profile\n", ")\n", "\n", "custom_ratios_model.channel_prior_dict" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "___....Currently undergoing remodelling, sorry for the inconvenience....___" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Next tutorial" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we'll go through how `GammaBayes` handles hyper-parameters and before finally getting into how we perform inference on these parameters." ] } ], "metadata": { "kernelspec": { "display_name": "testofwest", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 2 }