{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics of XGA profiles - focusing on cluster surface brightness" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the aim is to go through the basic capabilities of XGA profile products, with a focus on the generation of surface brightness profiles of galaxy clusters. A demonstration of the fitting functionality built into XGA profiles will be given, which will include an exploration of the XGA model classes and their purpose. I'll also show how we can view profiles (both for individually and together), and run through the user-configurable options built into the view method. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the nature of this analysis, it isn't really applicable to point-like sources." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from xga.sources import GalaxyCluster\n", "\n", "from astropy.units import Quantity\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Firstly, I will define a GalaxyCluster source for Abell 907, a cluster for which I know high quality data is available. **Again, please note that the overdensity radius and redshift that I've used here are approximate and should not be used for a scientific analysis**:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "-----------------------------------------------------\n", "Source Name - A907\n", "User Coordinates - (149.59209, -11.05972) degrees\n", "X-ray Peak - (149.59251340970866, -11.063958320861634) degrees\n", "nH - 0.0534 1e+22 / cm2\n", "Redshift - 0.16\n", "XMM ObsIDs - 3\n", "PN Observations - 3\n", "MOS1 Observations - 3\n", "MOS2 Observations - 3\n", "On-Axis - 3\n", "With regions - 3\n", "Total regions - 69\n", "Obs with one match - 3\n", "Obs with >1 matches - 0\n", "Images associated - 18\n", "Exposure maps associated - 18\n", "Combined Ratemaps associated - 1\n", "Spectra associated - 0\n", "R500 - 1200.0 kpc\n", "R500 SNR - 251.61\n", "-----------------------------------------------------\n", "\n" ] } ], "source": [ "src = GalaxyCluster(149.59209, -11.05972, 0.16, r500=Quantity(1200, 'kpc'), name='A907')\n", "src.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating and viewing a surface brightness profile" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A [convenient method](../../xga.sources.html#xga.sources.extended.GalaxyCluster.view_brightness_profile) for quickly generating and viewing cluster surface brightness profiles has been implemented in the GalaxyCluster source class, with the main input being the desired outer radius of the brightness profile in question. In this demonstration I have made a profile out to the approximate R$_{500}$ that I supplied on declaration, and by default this method has used the combined brightness profile to do so:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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d6KrFMkRERKTn6m6LZQB8fu6fz4CjJRLdkRbLEBEREZGo3bFk7ag3q+sGvlldN3D0nKXnxdsWLZ1pYpyIiIiItHL75Wdt747LJMdCSXAHQjXBxcXFFBcXJ/TeD75UxcTCPKYVHe1mUlFVy5rqOq7/ZFFCnyUiIiKp86Mf/Sip9y8vLw/NX4q7Jri3UTlEB/Ly8igrK0t4AgwwsTCP2QtXUVEVKNGpqKpl9sJVTCzU51eks+55fn2qQxARCZs2bRrTpk1L2v2Li4tDvYLrjnNKS0tLiyUtgDQUfL/HnTinkeAObNp5gJkPvZq0+2fglMyrDG/nD8jmvhc2cN8LG5L2TJHeoHLzbm6+ZHyqwxARAaCiogIgqYlwB97auXPnWcOGDavLyMjo8V0RWlpabOfOnXnAW8c7R0lwivXNzgQa22yLiIhIT3LrrbcCye8OcTxNTU3X1tTUPFxTU3MOvaMSoAV4q6mp6drjnaAkuAND+zSRt/KxpNQEw9ESiKumnspvKt/nZ1ee26pGWETiM3rO0lSHICLSZTqqCT7vvPM+AP6+S4NKc+oT3IFk9gkOJcBzSyYzrSj/mG0Rid89z69XOYSIpI1U9wmWY/WG4fC0taa6rlXCO60on7klk1lTfbyadhGJlhJgERE5EZVDpFB7bdCmFeVrFFhEREQkyZQEi4iIiCTZvffem+oQpI0Ok2AzWwyc3snnzHL35PUZS6JkLpYhIiIivcOkSZOSen8tlhG7DifGmdmdwOOdeMY44Ii7P9eJe6RMMifGiYiISO/wwgsvAHDxxRcfc2zHjh0sWbKEbdu2YWaMGjWKyy67jJEjR8b8HE2Mi1405RCr3f3d4x00s2Z3P25zWzM7BKjIVURERHqtH/7wh8CxSfADDzzA3LlzmTFjBgUFBQBs3ryZiy66iG9+85vccMMNXR5rb9HpFmlm1uLuPbbLhEaCRSRdPPhSFRML81pNnq2oqmVNdV27E21FJH0cr0XaGWecwerVq8nJyWm1/9ChQ5x77rmsXx/bEvAaCY5eIpJXNRoWEUmAe54/8f/sJhbmMXvhKiqqaoGjvcYnFh6/BLCje4pIapkZe/bsOWb/7t27MbMURNR7JKQ7hJnlAx8FXnD3BjOb6u6Vibi3iEhvcd+LG3ht064TnpOBUzLv6F+v+QOyue+FDdz3woZ2z6/cvFs9k0XS2N1338306dM5++yzOeWUUwB4//33Wbt2Lffcc0+Ko+vZEpEEG1AGzAd+aWY/Ar4K9IgkWN0hRCSd9M3OBBrbbItId/W5z32Oz3zmM7z++uts374dd6egoIDzzz+fzMzo//tWd4jYJapP8E53f9bMlgH3Amcl6L4pl5eXR1lZWarDEJFeYtGsC054PFQCcdXUU/lN5fv87MpzT7jAzug5SxMdoojE4aGHHjrusdraWtauXRvuDlFXV8fYsWMZMWJE1PcPDdbNmzdPy85GKVET2pYBuHsj8C2g3Mz6mdnJZjbKzEYl6DkiIj3WjReNO+HxUAI8t2Qyt3z6DOaWTG5VIxzPPUWka5xxxhmcccYZx+x/4IEHuPDCC9myZQvDhw9n2LBhbN68mQsvvJD7778/BZH2HonoDnFMizQz+yEwE9hKoFzC3f3CTj0oRdQdQkTShbpDiHRfwVKFY0or1R0idZK1bPIlwHjvbIYtIiJh7SW604ryT1gO0R4l0yJd7+c//zlwbBIc6g7RNglWd4jkS1YS/H9AX6AhSfcXEZEo3PP8+mO6Q4Rarc0tmcy0ovxWZRbRXC8iiaPuEKmTrHKISqAQWBvc5e7+6U49KEVUDiEi3dnoOUuZOmbIMfurPqin9sDRLhP5A7IpGp57zHmVm3ez5SeXJTVGkd7geItlADQ3N3e6O0SIyiGil6yR4C8m6b5dTi3SRKQnUqs1kfSRmZnJBRecuDNMR9QiLXZJSYLd/b1k3DcV1CJNRLq79tquRdtqTS3WRLrW22+/zcqVKzn77LM577zzor5OLdJil6gWaQCY2c+CX583s+eCr+fN7LlEPkdERKLTXou0WFqtqcWaSGIsWLCABQsWHLP/oosuCn+/cOFCZs6cyVtvvcWsWbOYO3duV4bY6yS0JtjMRrj7DjM7re153XV0WDXBItLTqDuESPqYPHkyq1atAmDq1Kn87ne/Y+TIkezfv59p06axZs2amO6nmuDoJbQcwt13BL++Z2ZnAEMI9AkG6JZJsIhIT9OZVmtKoEXis2jRIgBmzpzZar+7c+jQIVpaWmhpaWHkyJEADBw4MK6JcRK9hJZDhJjZk8BcoBS4Drg2Gc8REZHkuuf51o36Q+3VQqUTodKKiYV5x71GRAIrwz3wwAPH7N+7dy9nn30255xzDrt27aKmpgaA/fv3o+UWkitZ3SFOdfePJeneIiLSRe57cQOvbdrVat/w3L585ZHXGTGoLzv2Heb04QO574UN3PfCBiDQVk29hUWis2XLlmP2bd26laFDh/Lb3/626wPqRaIaCTazz7fZ7qjn7woz+1DcUYmISNqqb2ikqcXZtreBphanvqGx44tEpEM1NTV885vfZPz48fTv358xY8akOqQeLdpyiBvbbF/XwfnrgL+Y2YbgS78bExHpphbNuqDVa+qYoa2OTx0ztNVxETm+vXv38qUvfYlhw4YxatQofvGLX+Du/OAHP2Ds2LG8/vrrPProo6kOs1c4YTmEmX0Z+AowKaLNWTZwqIP7lgLD3P1w50NMLS2WISK9WdsWaRVVtSxfv5OF101tteRyRVVteLKc2qqJHN+tt97Kyy+/zFe/+lX+8Ic/cPPNN/P8889z4MABli1bxic/+cm47qvFMmJ3whZpZpYHDAZuAe4O7j4C1HjwwuMsm/wE8PWekASrRZqIyFHqDiESn9rawGTS8847j0ceeYSLL76YTZs2cfrpp/Ptb3+be++9NyHPUYu06EXVJ9jM/h4od3c3swzgcnd/NnisvSR4BTASeCe4y929ozritKQkWEQkfkqaRVrLzs7mvffeY9SoUQD079+fN954g7PPPjsh91cSHL2oa4JDI7/u3gJ8u4PzvwB8jEBrtGvpuIZYRER6iMgWaR21VFM7Nekt5s+fz/z582lpaSE7Ozu8PzMzk/79+6cwst4r2hZp/dpsD+jg/HNpM3KMFssQEekV2rZVO1FLNbVTk95i/vz5QGBxjKuuuoq+ffsC0NDQwHXXXXdMIvzss892dYi9TrRJ8J/MbCHwIvAp4KUOzr8xVC7h7i1m9m1Af5oiIr1QZEu10HZeTnYHV4n0TF/96ldbbV911VUpikSiSoLd/TYz+yzwIeAJd1/WwSWxjhyLiEgPEtkq7ZZFq1m8alt4e+qYodw9cxIAo+cs7fLYRFLpscceS3UIEhT1inHu/gfgD1GevjzGkWMREekhIlukddRSTe3URCRVop0YFxN3/3fgcWAIgZHjOcl4joiIpJ/IGt811XXMLZkc7g4xrSifuSWTWVNd1+rcB1+qCk+eC6moquXBl6q6KGoR6W0SngSbWYaZPe7uf3D3n0VROiEiIj3U9Z8satUeDQKJcKg9Wqg7hLpISE/3+9//nt///vepDkMiRF0OEa3gRLhmMxvg7gcSfX8REek5IjtJqIuE9GRqg5Z+Ep4EB50NbDKzt4AWuvFiGSIi0jXURUJ6svvvvx+AG264IcWRSEiykuArk3RfERHpYUKdJNRFQnqyp59+GlASnE6SMjGOQIu07wNlwLzgq1uqq6ujtLSU8vLyVIciItLjhLpDRHaR2PKTy1h43VSWr98ZrhG+8aJxmjwncgLl5eWUlpYC5KU6lu4iWUnwo8BTwCDgHuDNJD0n6fLy8igrK6O4uDjVoYiI9DihOt+OukjAiSfPaeKc9HbFxcWUlZUB1HV0rgQkqxzisLs/Z2bfc/dlZvbNJD1HRER6gFC3iEjTivLDSfF9L25g6qYhZOCUzKsMn5M/IFsT50QkLskaCW42syxgh5n9C1CYpOeIiEgvUjQ8lz6ZBkDB4H4UDc9NcUQi0l0lKwm+EnBgNtAIlCTpOSIi0kssmnUBBYNzONLsAGzb20DB4JzwxDrVDEs6W758OcuXL091GBIhWSvG7XX3Znevdfd73X1tMp4jIiK9w40XjTvh5LmpY4aoZlhEYmLu3rkbmDW7e2abfXnuXhcsifgM8Gd375aF2lOmTPEVK1akOgwRkV7vwZeqmFiY12oFuoqqWtZU1/GTZeuYOmYIdYca2fjB/lYLbuTlZFO5eTdbfnJZCqOX3u6uu+4C4Lvf/W5Sn2NmK919SlIf0kMkqxzid8GvPwD+EViYpOeIiEgv0dESzNB6wY2mFqe+obGrwxRp15IlS1iyZEmqw5AISZsYF/x6irtfC2itQBERSapFsy5g6pihrfZNHTM0XDMsIhIpWUlwHzO7HXgvuJ15opNFREQ6o6Oa4Y+dPlST5kSklUQkwdbOvquAauDHZpYD/DIBzxEREWnXzZeMP+GCGyNy+7U7aW59TX0qwxaRFOpwYpyZZbp78wlP6ughZuadnYGXIpoYJyLS/Y2es5T8AdnUHjhaIxza1oQ56QqXXnopAMuWLUvqczQxLnrRjAR/pzMPMLOzgEs6cw8REZHO0kIbkkrLli1LegIssYlm2eQPmdmtnXjGcOD3nbheRESk0woG51C5eTcQWGij7SQ6EeldohkJrgCyO/HaA2xMdOAiIiLRmjG5oN1JczMmF2ilOekSd9xxB3fccUeqw5AIHY4Eu/sDXRGIiIhIsowfmcsVUwqPmTT3qz9t5IophcxeuCo8qS40aW76+GEpjlp6khdffBGA22+/PcWRSEg05RAiIiLdWuSCGiHTivIpmVdJU7OTgVMyrzJ8LH9ANotXbePumZO6MkwR6ULJ6hMsIiLSbWjSnEjvoyRYRER6tUWzLqBgcA5HmgOdPLftbaBgcE6KoxKRZOvRSbCZfdbM3jWzjWY2p53jE8zsVTM7bGbfTUWMIiKSOsdbaW7ZWzV84vT8Vudqspx0xtChQxk6VB1J0kmPTYLNLBP4FXApcBbwz8GexZF2A98G7uri8EREJA0cb6W5Wz49jlc37dIKc5IwzzzzDM8880yqw5AIHa4YF9VNzPoBLe5+pPMhJYaZXQD8h7t/Jrj9PQB3/3E75/4HsN/dj0mGtWKciEjvNHrO0lbbWmFOugOtGBe9uEaCzeyHZnZ+8PtLCIyo7jazTycyuE4qALZGbFcH98Vk586dTJkyJfwqKytLWIAiItJ99M3OTHUI0o1973vf43vf+15S7l1WVhbOU4D8js6XgHhbpH0V+M/g97cD/wbsA+4EnktAXIlg7eyLedh72LBhaCRYRKR3GjKgD1dNPZXfVL7Pz648t1UbNZFYvPrqq0m7d2lpKaWlpQCYWW0Hp0tQvEnwIHffZ2YDgHOBC929yczuTWBsnVUNnBKxXQhsT1EsIiLSjVRU1ZKTnRmuFf5o0VBmL1zFjMkx/0JRRNJUvBPjdpnZBAKTziqDCXC69ZN5AxhnZmPMrA/wT8CzKY5JRES6gTXVdTxy9ZRjVpjbffCIllgW6SHiTYLvBVYCvwbuD+77O+CdRASVCO7eBMwG/kggrqfd/W0zu97Mrgcws5FmVg3cAtxmZtVmNijyPnV1dZSWllJeXt7Vb0FERFLk+k8WhRPgkGlF+Qzp34fZC1epa4SknfLy8lBJRF6qY+ku4u4OYWbjgCZ33xzsDjEOcHd/K5EBppq6Q4iISMjoOUuZMDKXjR/sZ8SgvuzYd5jThw9kXU29ukbICV111VUA/OY3v0nqc9QdInpx1QSb2Q+BZ9399WB3iN8BLcAMoEclwSIiIpHqGxppanG27W0Ib4t0JNnJr8Qu3nKIrwLrgt+HukN8k0B3iB5F5RAiIhJp6pihJ9wWSQWVQ8QurnIIM6tz97xgd4jtwNDg5Lg97n5SwqNMIZVDiIhIyC2LVrN8/c5w14hQTfD08cO4e+akVIcnaeymm24C4N57k9tIS+UQ0Yu3RVqoO8Q5pG93CBERkYQaPzKXK6YUHtM1Yk11XYojk3S3evXqVIcgbcSbBIe6QwB8Kfg1rbpDiIiIJNr1nyw6Zt+a6jomFrb+DXRFVS1rqu98/BoAACAASURBVOvaPV9E0kNcNcHu/gtgEnCOu/9PcPdmoDRRgYmIiHQHEwvzuGb+ilZt066Zv4K/bFA/YZF0Fu/EOIBNwMlmNjO4XQ30uP+6NTFOREROZFpRPocamymZV8noOUspmVdJdia8srH2mMS47YixSKJoYlzs4p0YVwQsAU4Gstx9oJn9A3CFu1+V4BhTShPjRESkI6PnLG21XTC4X7iFWiT1Eu69ggkqZWVlSX2OJsZFL96R4F8CTwFDgFCDxOXAJxIQk4iISLczZEAfvn3h6QwZ0IefXXkuAH0yDQgkxdK7lZWVJT0BltjEOzHufODv3b3FzBzA3fea2eDEhSYiIpL+KqpqycnODLdN+2jRUGYvXAXAkebAb1vbGxUWkdSKdyR4H9Aq4TWzUcCOTkckIiLSjaypruORq6e0apv2jeljycowFl43lS0/uYyF100lJzszXCMsvU9paWm4JELSQ7xJ8GLgUTMrBDCzoQTapj2VqMDShSbGiYjIiVz/yaJwAhzS3AKPX3N+eP+a6jpu+fS4Vv2E1S2id1m/fj3r169P2v01MS528SbBtwP7gfcJjAh/ABwGfpSguNJGXl4eZWVlFBcXpzoUERHpJtomxhML87j7uQ3h7hDqFiGJVlxcHKo51sotUYqrJtjdDwElZvYtYAzwnrvvTGhkIiIiPURkG7W2+0UkNTrTJxh33+XuK5QAi4iIdKxtt4i2NcIqkRDpOp1Kgs0s18xGRb4SFZiIiEhP07ZbxOyFq7SgRi8xadIkJk2alOowJEJc5RBmdgHwayByUXQDHMhMQFxpIzQxrri4WHXBIiISl1AbtVAXiYqqWkrmVTKgTyZfeeR1Rgzqy459h2lqcZVI9FD33ntvUu9fXl4emsSvf0VFKd4V49YALwAPAwcij7n7e4kJLT1oxTgREemsB1+qYmJhXqsEd/ScpQzql8W+hqZW52pVOekMrRgXvXgXyxgDfMfjyaBFRER6mes/WdTu/ovPHMHiVdu6OBpJhauuugqA3/zmNymORELirQmuBM5IZCAiIiK9yYzJBSxfvzO8oMY/n38KfTIzWk2W00S5nqO6uprq6upUhyER4h0JfhF41sweBGoiD7j7wk5HJSIi0sONH5nLFVMKwyUSxeeO4pm/bqP8ze1MK8rnlkWrWb5+J3NLJqc4UpGeKd4kOLTu37fa7HdASbCIiEgH2pZITCvK50hTC0++vpUnX98KBEaLQ0lyRVUta6rrjltaISKxiXexjDGJDkREREQCvYRDrdSumFIIHG2f9sjVmu8kkijxtkh7x93PbGf//7n7hzofloiISO8USoABvjSvklGD+6l9Wg9wwQUXpDoEaSPecojCGPd3W+oTLCIiXaFtL+HRc5biHF1YQ7q3H//4x0m9v/oExy6mPsFmdmvw29uBO9ocPh2Y4u4TExRbWlCfYBER6QptewmPnrP0mHPUQ1g6oj7B0Yt1JPiS4NfsiO8BWgh0ifh6IoISERHpbSInvLUdFf7e4jU8s3IbFVW1mijXTX3hC18A4JlnnklxJBISU59gd/+Uu38KeCD0ffB1kbt/yd01ZCoiItJJa6rrwgkwBNqnYVD+5nbg6ES5iYX6zXd3sWvXLnbt2pXqMCRCvN0hvgVgZrlAbptj2xMQl4iISK8VTfu00H4RiU9cK8aZ2UfNbD2wF9gafFUHv4qIiEgS9Mk0APIHZLfar5XlRGIX77LJZcAS4EPA2OBrTPCriIiIJEGofVrtgcbwPpVGiMQn3hZpY4DveCytJURERCQubSfKffnhSl7ZWNuqg4RKI9LbRRddlOoQpI14k+BK4AxgXQJjERERkXa0nSi34Nqp4QS4YHA/9RLuBm6//fZUhyBtRJ0Em1lJxOaLwLNm9iCB1mhh7r4wQbGlBS2WISIiqdZ2otwti1aHv1cCLKDFMuIR9WIZZrY5itPc3XtUXbAWyxARkXRSUVXL7IWrmD5+GHfPnBTuITz/6x9RD+E0dumllwKwbNmypD5Hi2VEL+qRYHcfk8xAREREpGNrquuYWzK5VQ/hZ/66jfI3tzOtKJ9bFq1m+fqdzC2ZnOJIJdKhQ4dSHYK0EVdNsJmdepxDh919RyfiERERkROIpofwjMkFmign0oF4J8ZtAdqtozCzw8BTwE3uvi/O+4uIiEgM+mRauIXa3TMnpTgakfQXb5/ga4GXgUuA8cGvy4EbgH8EzgHuSkB8IiIiEoVQAgytJ85pIQ2R9sU7EvyvwMfdvTa4XWVmbwEvu/sEM9tAIEkWERGRJIrsIQzw5Ydf5/l3dlBRVct/r6hWfXCauPzyy1MdgrQRbxI8Emhb4X0wuB9332RmatEhIiKSZG17CDe7U9/QRMm8SkD1weniu9/9bqpDkDbiLYd4BZhvZqeZWYaZjQYeDu7HzD5Em/7BIiIiknjXf7LomCS3T6aFv1d9sEj7OlMTPATYDDQCVcCw4H4AA67rdHQiIiISM9UHp5/p06czffr0VIchEeIqhwi2QbvIzAqAAmCbu2+LOL4mQfGJiIhIlFQfLBK9eGuCAQgmvts6PFFERESSLtr6YK0oJxJDEmxm33X3u4Lf33q889z9R4kITERERGLTXlKblQFNLYHvF6/axuJV28jKMB6/5vwujk4kvcQyEnwhR3v/XnKccxzoUUlwXV0dpaWlFBcXU1xcnOpwREREYhJKgCEwYSczw2hqcXWM6GHKy8spLy8HUHeuKEWdBLv75wDMLAt4AHjW3RuSFVi6yMvLo6ysLNVhiIiIxCSyPnhaUT6j5yzFgbycbHYdOJLq8HqdL37xi0m9f2iwbt68eXVJfVAPEnNNsLs3mdkj7p6bjIBERESk8yLrgyM7RLRNgFUf3DVuuOGGVIcgbcQ7Me4NM5uoLhAiIiLpKZTUVlTVsnz9TmZMLuCKKYVc/dgbHGlqYfScpQCqD+4iBw8eBKB///4pjkRC4k2C/wSUm1kZ8B4Qrjhy94WJCExEREQ6b011HXNLJodrgOd/7SOUzKskwyDDVB/cVT73uc8BsHz58tQGImHxJsFfJ5D4XttmvwNKgkVERNJE2zKHUMLb4jCkfxa1BxrDx1QaIb1JvItljEl0ICIiIpJ8kfXBoQS47WIaSoalN+jUYhkiIiLSfUTWB989cxJffriSVzbWhhfTACiZV6k6YekVMmK9wMwuNrObzOx8C5hvZnVm9pKZFSYjSBEREem8UH3w3TMnAbDg2qmtjvfJNLLUR1h6iZhGgs3sRuBOYC3wA+AJYAxwK3AlgcU0/inBMYqIiEgCtC1viCyNADjS7BQM7se2vT1+GYAud/XVV6c6BGkj1nKIbwIXuXulmX0MeBk4xd23m9kzwKqERygiIiIJF1kaAYEllYFjEmDVByeGkuD0E2sSPNLdKwHc/S9m1uDu24PbNWY2IOERioiISMKFSiMAZi9cxYzJBZw5Kpe7/riexuaWYybLSefU1tYCkJ+vMpN00dmJcYcTEoWIiIh0qdDI7oMvVbXqI/zO9noWr9oWniw3Y3KB6oMT4IorrgDUJzidxJoE9zGzWyO2+7XZzk5ATCIiItJF2pY53D1zUrg0IrQt0hPFmgS/BlwSsV3ZZvu1TkckIiIiKVNRFfy1/YBsag80UlFVy7SifNUGS48TUxLs7tOTFIeIiIikWEVVLdfMXwEcXUgjVBaRk53JI1dPSVlsIokWc59gERER6ZnWVNfxyNVT2PKTy1h4XaCHcFYwU3jk6imqDZYeRSvGiYiICNC6PjiU8Da1tN4GtU2Lxze+8Y1UhyBtdPuRYDP7rJm9a2YbzWxOO8fNzH4RPL7GzD4ccexRM/vAzN7q2qhFRETSW2RtMMC8V6qAwAIbsxeuYmJhXspi645mzpzJzJkzUx2GROjWSbCZZQK/Ai4FzgL+2czOanPapcC44KsUeCDi2Hzgs8mPVEREpPtorzb4zqXrGD1nKYtXbWP6+GEqjYjR1q1b2bp1a6rDkAhxl0MEE9CpBFaMW2Rm/QF390MJi65j5wMb3X1TMKangM8TWNY55PPA4+7uwGtmNtjMTnb3v7n7y2Y2ugvjFRERSXuh2uBQojt6zlIyDFo8cDzUNk1lEdH78pe/DKhPcDqJKwk2syJgCXBy8B6LgE8DVwBXJSy6jhUAkf+sqiaQmHd0TgHwt+SGJiIi0j0dL6k1wAkkxaCOEdK9xVsO8UvgKWAI0Bjctxz4RAJiioW1s8/jOOe4du7cyZQpU8KvsrKymAIUERHpziqqasnKMFr82P95qmNEeigrKwvnKYD+QKIUbznE+cDfu3uLmTmAu+81s8GJCy0q1cApEduFwPY4zjmuYcOGsWLFirgDFBER6c7WVNfx+DXntyqNCFECnB5KS0spLS0FwMxqUxxOtxFvErwPGAyEf9BmNgrYkYigYvAGMM7MxgDbgH8CStqc8ywwO1gvPBWoc3eVQoiIiEQhsjTilkWrWx378sOVfGxcPhML81qtKjexME+1wpL24k2CFwOPmtkNAGY2FLiXQIlEl3H3JjObDfwRyAQedfe3zez64PEHgd8DnwM2AgeBr4WuN7MngelAvplVA99390cin1FXV0dpaSnFxcUUFxd3xdsSERFJOxVVtSxfv5NzRg3i1svO5IE/VfHnjbXsPXiEX/1pIxlAZmYGZ588iLKXNzG3ZHKqQ04r3/nOd5J6//LycsrLywHUuy5KFmiaEONFZjnAIwRGXiFQJrQQuM7dGxIXXupNmTLFVQ4hIiK93YMvVYV7A18zfwWHGpuPe+6MyQXhDhLStcxspbtrtmIU4kqCwxcHRoDHAO+5+86ERZVGlASLiIi0VlFVS8m8SvpkGkeaj80jtvzkshREld7effddAM4444ykPkdJcPTi6g5hZtPMbKy773L3Fe6+08zGmtm0RAcoIiIi6SU0IS6UAIdWlRs6oA9wdLU5OWrWrFnMmjUr1WFIhHhbpD3Esa3HLLi/RwnVBAfrbERERHq9thPkQqvK7TpwBAiUSygR7lrl5eWhDhGqCY5SvDXB+9x9ULT7uzOVQ4iIiBxVUVXL7IWrGJXXj1svO5MfLX2H93Yf5PKJJzN22ACaWwh3h1CXiKOmT58OJH/FOJVDRC/e7hA7zexUd38/tMPMTgN2JyYsERERSUdrquuYWzI5XBKx5NufoKKqlvI3t3P3cxtaTZjTinKSzuIth/gtsMDMJphZpplNAB4j0DpNREREeqjrP1l0zCIZ04ry+fGMieGEt09moGJSK8pJOot3JPj7wKPAWo6uovjfwO2JCCqdqE+wiIhIdNpOmCuZVwkEWqaNH5nbq8sibrvttqTeX32CY9fZFmnDgdOALWqRJiIi0ruFWqdlGLQ4TBiZy1knD2L5+p2tSigkeVQTHL14R4IBcPcPgA8SFIuIiIh0UxVVtVwzPzBo1BIcX1tXU8+6mnoWXje11yfAq1cHOmpMmqRFRNJFXEmwmRlwLXARMIyIdmnufmFiQhMREZHuYk11Xasa4NFzloaP9fYEGOCmm24Ckt8dQqIX78S4O4E7gK3AR4GVwFnA6hNdJCIiIj1T5IS5UI/ggsH9Wm2LpJN4k+AS4DPu/i/AkeDXfwBGJyqwdKHFMkRERKIXWRaxbW8DoMUzuoIWy4hdpxfLMLNaYIS7N5vZHnc/KdFBppImxomIiETvwZeqmFiYFx4VfvClKjIz4C8bd1H6d2OZVpRPRVVtr1tMQ4tlpJ94J8Zti1gsYxNwaTAZbkxcaCIiItLdtE1oJxbmcc38FRxqbGb5u60bSWkxDUmleJPgB4DzgPeBe4D/ITA57vsJiktERER6gGlF+Txy9RRK5lWSlQFNLYH9Qwb06VVt0370ox+lOgRpI64k2N1/EfH9k2b2CjDQ3dclLDIRERHpEUKJbigBBrhq6qm9JgEGmDZtWqpDkDainhhnZm9EfN9qxNfdq5UAi4iISHtCk+LyB2SH9/2m8v1eNVmuoqKCioqKVIchEWLpDjEu2B8Y4DvJCCYdqTuEiIhI/Cqqapm9cBWD+mWy91ATfTKNDINvTB/L7IWrek0ifOutt3Lrrbcm7f7qDhG7qLtDmNkfgf7AO8DVwPz2znP30gTFlhbUHUJERCR+D75Uxfqaehav2nbMsRmTCxg/MlfdIRJI3SGiF0tN8D8B1wNjAQeyT3y6iIiI9HahBPfumVouWNJL1Emwu+8Bfmxm2cBXgOvd/XDSIhMREZFuq70R4N408ivpL+buEO7eaGaNSoBFRETkeCYW5lH28ibyB2RTNDyXgsE5LHurhp31h/nJsqNz6U85KYetew6Ft5UoS1eJt0/w62Y20d3XJDQaERER6RGmFeUzt2QyJfMq2ff+Hio37+bfL5vAA8uPJsZ9MjP488ZaBvXL5MyT8ygYnMPy9Tu5YkphqsNPuHvvvTfVIUgb8SbBfwLKzawMeA8Id/5z94WJCExERES6t1Af4CPNgUn4132iiLNH5YUT4yPNzr9fNoE7l65jVTBRXnjd1B7ZP3jSJNVEp5t4k+CvE0h8r22z34EelQSHWqQVFxdTXFyc6nBERES6jVD7s4LB/di2t4GKqtpjEuM7l65rtd0TE2CAF154AYCLL744KfcvLy8PtXNVi7QoRd0irbdSizQREZHYhfoDZ+DhmuDl63fyjeljuXPpOjIMWvxoTbARHEnroSPBapGWfmJZLCPMzEYd75XoAEVERKT7WVNdx/Txw6g90Ejl5t0sXrWNs08exN3PbSB/QDbjR+QChCfFnTEylxmTC3rVAhqSWvGWQ1QT+AdbezLjvKeIiIj0EO31B37wpSqG5fZl8apt1B5obHX+upp61tXUM2NyAWuq63rkaLCkl3iT4DFttguA24AnOxeOiIiI9FSRiXFFVS0l8yrD9cI9tQxC0ldc5RDu/l6bVwXwVeBfExueiIiI9DSheuH8AdkUntRfZRCSEvGOBLfnIHBaAu8nIiIiPdCa6jrmlkzmvhc2AIGR4e8tXsOdS9/h7e37wuf1pIUzHnrooVSHIG3E1R3CzEra7BoA/DPQ7O6XJCKwdKHuECIiIol3z/Prue/FDeHtGZMLWL5+Z6tuEsvequFQY3P4nBsvGsfNl4xPRbjdhrpDRC/eJHhzm137gRXAbe6+rZ1Lui0lwSIiIl3je4vX8OTrW1vtyx+QTU6fLF75twupqKplTXVdtxwZDvbwTfqaA0qCoxdXOYS7t50Y12NpsQwREZHkajsqHNInK4PdBxsZAtyyaDXL1+9kbsnkrg8wAX7+858DyUuCtVhG7LRYRgc0EiwiIpI8D75UxcTCPO57YQN1hxpZV1Pf6nimGc3BXKU7d5DQYhnpJ6aRYDPLIpA4N0bsuxqYBLzs7osTG56IiIj0ZBML85i9cBUD+mSybe8h+mRaeAllgMH9s9l14AjQc5dUltSItUXaIuBroQ0zuw0oAz4OPGFm1yQwNhEREenhphXlM7dkMtv2HqLFaZUAA+wOJsCAWqhJQsWaBE8BlkRsfwu4NjjsfhVwQ6ICExERkd5hWlE+J+f1C2/nZGeQPyCbPlkZmAUmx6mXsCRarBPjTnL37QBmdiaB4uung8f+h8CosIiIiEjUKqpq2bHvcHj7UGMLhxpbmDG5gLV/28eBw03hVea665LKCxYsSHUI0kasSfABMxvo7vsJjAq/5e4NwWMWx/1ERESkFwutHnf68IHUNzQydcxQnn1zO4Nzsli86mjX1dFzlnbrPsGnnHJKqkOQNmJNWl8B7jCzh4BZwB8ijp0B/C1RgYmIiEjPF7l6XF5ONqcM6U9Ti1N7IDAHv2BwP/4y56IUR9l5ixYtAmDmzJkpjkRCYk2C/w34PXAj8BZwd8SxLwF/TlBcIiIi0guEFr4ILaF88yXjyemTGW6bFtKdF8oAeOCBBwAlwekkpiTY3TcDZ5rZEHff3ebwfwJH2rlMRERE5LjueX49lZsDacXoOUuZMbmAspc3hZdQ/uy9L4f7B/9k2bpuXRYh6SPeFePaJsC4+97OhyMiIiK9zc2XjD8mqa2oqqVkXiX73t/DkWZnwshc8nKyWTTrghRFKT1NrC3SRERERJIu1AEi1Dc4Lyc7fKyiqpYHX6pKSVzSc6ibg4iIiKSdUD/g/AHZ1B5oZFVwRHj0nKUAzJhckMrwpAdQEtyBuro6SktLKS4upri4ONXhiIiI9Hihtmn5A7IpGp7LmZkZvLLx6CIZC6+b2u16Bf/3f/93Uu9fXl5OeXk5BNZwkCiYu3d8FmBmp0Zznru/36mI0syUKVN8xYoVqQ5DRESk13jwpapW3SE+NWE4P1m2Lnz8xovGcd+LG1ptRzNR7p7n18d1XXdiZiuDK/lKB2IZCd4CRJMxZ8YXioiIiMixbdMygzOYsjKgqQX++t4esjKM04cP5A83/R33PL8+XCYBx09ub75kPK9t2gXQ5RPs5s+fD8DVV1/dpc+V44slCY5c6uSzwNXAD4DNwFjgNuDXCYtMREREeq3ItmmVm3fTJ9NoDE6Se2VjLYP6ZbKupj6c/A7ql8WZJw86bnIbGl2O1JW9h5UEp5+ok2B3D69daGb/Avydu38Q3FVlZmuAl4BHExuiiIiI9DahtmmRpRGhyXEATc1Obr8smptbyMzMYNTgnPC1kclt2xKInOwMhgzoE647nlsyucvfm6SHeCfGjQQOttl3MLhfREREJCFCo7T/r3xteCQY4GBjC9bYggO5mRls33uQA4f7cMui1SxfvzOc3EaWQNx48ThK5lWybW8DsxeuYvr4YZTMqzzmmT2xVliOFW8S/DLwazP7DvA+cBqBFeNeSVRgIiIiIhAY2d34wX76ZWeQlWHUH24Gjk5Uqm9oAmBfwyG27tnGwuumUrlpd6sEt2Bwv1YdJa6aeiq3fPoMtu091OpZWoyj94g3Cb4OWAhs4uhncDlQkoCYRERERMJ+9aeNNLU4TS2BlCPUO/h4phXlM60on8V/rWZA36zwQhuh3sMA817ZzC/+d2N4u2BwPwpP6h8+r6tqhSV1om6R1u7FZqOAQmBbZM1wT6IWaSIiIulh5kOvUneokY0f7AecDLNwjTAEEtltexvCfYSn3PFcq2Q504wWd4YOyOaSs0ey6I2tZGUYLQ6nDx9IbX0DI/Jy+FtdA3NLJie0F/HBg4Eq0v79+yfsnu1Ri7Toxb1YhpllAqOBU9z9dTPrD7i7HzrxlSIiIiLxOXC4idOHD+S9XQdoaGxpdWzb3gYASuZV8onT8ykansuB6r00BGuHm4MDf7UHGjnc2IIRSIAH52Txbk09HjyWjMU4kp38SuziSoLNrAhYApwcvMci4NPAFcBVCYtOREREhNYt00KyMizQQ9jhSLPTLzuDAX0yqT3QGF5hrk+mtbomt18Wg3OyuWJKIWv/to93a+qPKa1Ixmp0999/PwA33HBDwu8t8cmI87pfAk8BQ4DQJ2c58IkExCQiIiLSys2XjGfhdVMZMqAP/bMzyMqADIPDTU7f7AwyM6Cx2dl7qIkJI3MZNrAPEEiOIws/DzQ0sXXPIUrmVbIuOPrbVmTtcKI8/fTTPP300wm/r8Qv3iT4fOBOd28hODHO3fcCgxMVmIiIiEikaUX5zC2ZzMHGFppaAknvKSflsK+hmaYWaG5xTh8+kLycbIYO7Nvq2pzsDAxoCX4/YWQuGa0HickfkM2MyQXMXrgqKYmwpJd4k+B9tEl4g5PkdnQ6IhEREZHjiCxVcGDrnqNTkbIzLdwJoq1DjS0MHZAd/n5dTT0tbYaBaw80snjVNnYfOMKv/rSxnbtITxLvxLjFwKNmdgOAmQ0F7iVQIiEiIiKSFJEjtFkZxsl5/cKJ8JFmp3LzbvIHZLPnYBP9szM40hwYNQ4cb6FgcD9y+2Xzbk19eGQYAqPDAPkD+/LKv13Yhe9IUiXekeDbgf0EFsoYDHwAHAZ+nKC4RERERFoJLXWcPyCb3L6ZNLV4OAE2CNcB7z7YSIs7A/pmhRNggH0NzWzb28D6HfVkmDF+ZG6gthjCnSYil1+Wnq2zfYKHAmOA99x9Z8KiSiPqEywiIpIeHnypiomFedz3wgYAPjVhOJkZ8HjFewzom8XGD/aHF9QICXWHGNQvK9wFIivDGJyTRX5uP96tqadfcBT4SFMLEW2Hu+XyyeoTHL14W6S94+5nuvsuYFfE/v9z9w8lLDoRERGRoNAKbqEkOLT9wtoPABgxqG+4VzAEJrrta2jiSLO3aoPW1BLY3n2wkexMo7nFWy26MahfFmv+4zNJfz+SWvGWQxTGuF9EREQkaeoONbJj3+FW+/YeaiIzw5gwMpchA/qQPyCbgsH9wsdbgv2FQwlwqIPEqME5VFTV8uBLVQmL76677uKuu+5K2P2k82JKgs3sVjO7FcgKfR/xehTYmpwwwcw+a2bvmtlGM5vTznEzs18Ej68xsw93dK2ZXWlmb5tZi5npVwciIiLdUGgp5ZPz+pFhgRKIDIOT8/rR0NjCrv2HmVsymaLhueT2a9094pSTcsKt0g41tpCZAbX1DcxeuIqJhXkJi3HJkiUsWbIkYfeTzou1HOKS4NfsiO8hMLmyBvh6IoJqK7hE86+Cz6wG3jCzZ919bcRplwLjgq+pwAPA1A6ufQuYATyUjLhFREQk+UJLKR843MT4Ebnk5WRT9UF9eNLczv1HqNy0O5wsh8okMjOMv9U1cFL/Puw6cASAppbkLZ0s6SWmJNjdPwVgZr90928lJ6R2nQ9sdPdNwec/BXweiEyCPw887oGZfq+Z2WAzOxkYfbxr3f2d4L4ueyMiIiISv8jlk0fPWcrUMUNa9QouGNyPvJxsiobnsmLWBcx86FUgsOLc4r9WhxfTWPX+Hg4FO0KEEuBI04ryqaiqZU11Xbj2WHqWePsEP2lmY0OJJYCZjQVGuntFYkJrpYDWpRbVBEZ7OzqnIMprj2vnzp1M1knIlwAAIABJREFUmXK0UqK0tJTS0tJoLxcREZEEuvmS8cft2BBKeEPaJsyhBBmgb3YmY4fl8EH9YYbn9mX73oPsa2gOX/vlhyt5+2/7mFsyOUnvJHHKysooKysLbWr4OkrxJsEPAf/QZp8F9yejO0R7Q7Vte7sd75xorj2uYcOGoRZpIiIi3U/bhLltknzgcBNzSybz/8rXcvBIC6eclBMeVX5lYy3/ftmEhJVE5OQkr/9w5ACdmWm95yjFmwSf5u6tpky6e5WZnZaAmNpTDZwSsV0IbI/ynD5RXCsiIiI9WOSoMAQmz406eRDTivLZtf8wJ/XPZtTgHHbsawh3i7hz6TruXLouIf2Cly1b1qnrJfHiTYJ3mtmp7v5+aEcwAd59gms64w1gnJmNAbYB/wSUtDnnWWB2sOZ3KlDn7n8zs51RXCsiIiI9RPWeg2zb28DoOUuBo4te3HzJeCqqavnKI6/TElws7JZFq9lzsJHThw+k7lAjjRH9gieMzOUPN/1dSt6DJF+8fYJ/CywwswlmlmlmE4DHgMWJC+0od28CZgN/BN4Bnnb3t83sejO7Pnja74FNwEZgHnDDia4FMLN/NLNq4AJgqZn9se2z6+rqKC0tpby8PBlvTURERBIgNNJbuXl3qwUz2o7iTivK5/ThA2lqgVXv72Hxqm2cPnwgABs/2E+/7AwKBvcjf0A2Gz/YT0VVYqoL7rjjDu64446E3Ks95eXloZKIxPV16+HiWjbZzAYAjwJXcrS+9r+Br7v7gcSFl3paNllERKT7CdX/Lpp1QbvHIksjpo4Zwva9hxjQN4ttew9x1smDgED/4X+YXJCQ7hDTp08HYPny5Z2+14lo2eToxTUS7O4H3H0mMBL4/9u79zA56/L+4+97Zye7OW4SciBkCTkRJSo1ZTWYaqvQWNButVJFYq2gsOKvQaVVC/6g/lqlRS81BVFhIxZPQfmBFVZQG7GcDESCwSgHc4ZsEkhiks1pdzOHu388M5vZzW4y88zMzunzuq69dp7vc7rnyuN6873u5/6eS9AV4uJqS4BFRESkugysDYYg2T1t/Mi+zhFpTSOjao9WxcLWBAPg7ruAXQWKpSylyyFaW1tpbW0tdTgiIiKSh4WzJzLxiRHU4cyZMpau7hjPv3Swb/+ISGWuHdDR0ZEu3VQ5RJZCzQSnlii+wsy+b2YPmtkv0j+FDrDUmpqaaG9vVwIsIiJSBdZ1dvUtoQzw04//KSuuWMifzD0FgKMJZ/WWvXTuO1LKMHPW2tqa7hXcVepYKkXYmeAbCJZI/g7QCnwNeD+wokBxiYiIiBRcurzhpp9v6BtbNGdSXz/ggb2EMy1buZ6bHjx2Xi6t00455ZQw4UoRhU2ClwB/4e6/MbPL3f2TZnYP8KkCxiYiIiJSNq5ePI8nNv8BGPyFuxO55557ihGS5CFsi7SJ7v6b1OeEmUXc/QngLQWKS0RERCRntz686bi2Zqs27eHWhzcNcYbUqrBJ8HYzm5H6vBm40MzOBWKFCat8qE+wiIhI5Ti7uYmlK9ayaddBOvcdYdWmPSxdsZazm7N7X2zH/m66uvunM4VIoq+99lquvfbavK5xIuoTnLuw5RBfB84BXgSWAT8CDPhMgeIqG+kX40RERKT8LZoziVuWLGDJ8tVAjKUr1nLLkgV9Nb8nsmzlerbt6+7bHtsQ4R9+8DQPrd/NLUsW5BXX448PXWtcCOkuVsuXL9eLcVkKlQS7+80Zn+80s0eBMe7+fMEiExEREQkhM+H924UzskqAgeOWVj7Ym+CHa7ez4oqFWV9DKkfOSbCZ1QPvAu51914Ad+8sdGAiIiIiYWTWBH939YucO+eUnJLYRXMmMXVcQ9/yy8GsctANAqBz3xFmXnP/oOcO7BiR7ijxUuqFumUr12fdUUKKK+eaYHePA7enE2ARERGRcpGuAZ40Osr08Y3csmQBS1es7ZcYp1eNW71lLzOvuZ9lK9cfd42XDxxLcyaNDlaSu+nBDX2rzU0f39jvnOnjG9l649uPS3CvXjyPhbMmMq4xyrmzT1ECXEbC1gQ/aWZnu/u6gkZThrRinIiISOVIL4aR7gOcrhFe19nVNxucLnsYTDqJnjtlDAd7YvTGEuzvjjNpdJQ9h4MX5rbv72H6+EbGNtYzf9q4rOIaOWEyzc2TC/ANB6cV43Jn7p77SWbXA5cD7cALQDK9z92rasGMlpYWX7NmTanDEBERkRykF73ItZ/vrQ9v4uzmpn6LaXR1xzjcG2d/qmtEOvF9dueBfknwUPcKG0sYZvaUu7cU/UZVIOxM8AcJEt/LB4w7WjVOREREKlT30URfDTAEZQ7NE0bRNDLalwRLdQjVJ9jdZw3xM7vQAYqIiIgMl3QN79jGehbOmkjzhFEFue7au/6Dj3/84wW5lhRGqCTYzJ4bYvy3+YUjIiIiUn527O8mnkj2G4snkuzY3z3EGf3t37aBp59+uhihSUhhV4xrznG8YmnFOBERERndUE9PLEn30Tid+47Q1R2jJ5ZkdEPYytLC0opxucvpX87MPp0+L+Nz2lxgW0GiKiNaMU5ERESaRkZpjNbRHUuyfX8P9XW9NEbraBoZLXVogFaMCyPX/3xZnPodzfgMwUtyLxG8MCciIiJSdeojdRALSiKmjmvgQE+8xBFJPnJKgt39LQBm9hV3v6o4IYmIiIiUVm8s0bcwBgRdIjJrgl8+0Es0Yllfb+zU05k3b2pBY5T8hCpkcferzGwM8JcEdcDbgAfc/WAhgxMREREphYZohIZUpcP8aePo6o6xY38P9XUwdVwjYxuj/P6lg3R1x7IqiWj522toH4Y+wZK9UEmwmbUADwDdwIvADOArZvY2d9fKEiIiIlJVDvfGaYzWUR+p62ub1hit43BvvGzqgiU3YbtDfA34kruf4e5vcvczgC8CXy9caCIiIiLl4bTxI6mP1PWVSazespfuWJJklivvrvnujenuDVImwvb1OAv40oCxLwPX5xeOiIiISPnKLJMAsl5M4+DL21gfUeOGchJ2Jvhp4NUDxl6TGq8q6hMsIiIig8mcFV69ZS/LVq4vWSzqE5y7rGeCzWxJxuZ/Az82s28ALwAzCdqjVV1DXfUJFhERkUGZMTJq1EfqmD9tHFcvnseqTXtY19nFlX82h1sf3sTZzf1z0sz9haQ+wbnLpRzihgHbMeADGdtx4DLgs/kGJSIiIlKOeuNJkkknGjEiBj2xJNGk89QLe7n2h+v42TMvc8uSBQCc3dzE0hVrmTK2gcNH43SPO52lK9b27ZfSyjoJdvdZxQxEREREpBCWrVzf1+N35jX387Hzz+TqxfNyukZvPEnEIOH0tUGLJ4IEOJ76qa8DMziaCF6O+/G6ndz2/nNYNGcSy1au56YHNwCw9/BRxrz+b9g36zXcsWQBi+ZMKuwXllDCtkg7bah97r4jfDgiIiIi+bl68byck96B+mZ5I8b6lw8ypiFCdyzJiIwFMuLJ/udctmhmX4J79eJ5PLH5DwB07jvC9tnncOV5c5UAl5GwL8Z1EiyQMdiPiIiISMXq3HeE7lgSJ5jlTToc6EkAEEs4I6ODp0/fXf0iqzbt6TfW1R3j5QO9Q+6X0gmbBM8CZmf8vAn4GXBpYcISERERGV63PryJVZv20DxhFAtnTWThrInUD8iUzCCRPL438MhoHbcsWcDSFWv7Et2u7hgbdx1i7pQx7H/gS5y29Sf99ktphUqC3f2FAT+rCF6S+1RhwxMREREZHukX2bq6Y3TuO8JzO7uOK3lI+rEa4DoLfgCOxoOxW5YsYF1n0KDhcG+cuVPG0DQyyoie/Rza9Ot++6W0wi6WMZgjwBkFvJ6IiIjIsFk0ZxK3LFnA393+K+Kp2d76uiDxHdMQ6SuJABgRMRqiEQDiiSRjGur7Wp+l635PGz9y0HuoLrg8hH0xbsmAodHAJcDqvCMqM+nFMtL990RERKR6LZozianjGti+vweAuro65k4aDcCBlw72HZdZEVEfqWP25DEF7/2bi46OjvTCXlosI0thZ4IH9gw+BKwBrssvnPKjxTJERERqx6pNe/peZIOgSwTAxl2HqK+DOjMidUZPLEk8kaQ+cnxlaWZ7NIDp4xuLHrcWy8hdqCRYPYNFRESk2qzatIelK9Yyd8oYDvbE6I0l2HM4xvMZM8AjIsHMbyNBD+HBEql0e7Rndx5g/rRxAOyd/WresGD68HwRyUoha4JFREREKta6zi5uWbKAm36+gaaRUQAOd+4n4dAwoE1EfaQupyTq7L/+CP/+4TcUMFrJV07dIcys3syiA8YuNbP/MLN3FTY0ERERkeGT+VJbWn2k7rgEWKpDrv+qPwAuS2+Y2XVAO/BG4Htm9qECxiYiIiJSFX5526e56KKLSh2GZMi1HKIFuCpj+yrgcnf/tpldBHwauL1QwYmIiIiUm95Yoq9XMNBvKeWBL8Wt3rIXgD179vCbxJHhC1JOKteZ4AnuvgPAzM4iaMNxV2rfj4CZhQtNREREpPw0RCNELOgcMbaxvq9fMAQvxS2cNZGxjfX9fsY1RmmecHzfYCmdXJPgw2Y2JvW5Bfidu/ektg29aCciIiIiFSDXJPhR4LNm9krgw8BPM/a9AthZqMBERERERIol1yT4n4ALgGeBccCXM/a9D3isQHGJiIiIVI0pr2zh/PPPL3UYkiGn8gV33wKcZWYT3X3vgN1fAI4WLDIRERGRKvGqt1/G9eoTXFbCrhg3MAHG3ffnH46IiIiISPGp+/NJdHV10dbWRkdHR6lDERERkQr1yFf+gQsvvLBo1+/o6KCtrQ2Czl2SBXVzOImmpiba29tLHYaIiIhUsMTRXrq7u4t2/dbWVlpbW1m+fHlX0W5SZZQEi4iIiGRh4CIZdoJjpfxlnQSb2YxsjnP3F8OHIyIiIlKeGqIRFswYB8Carce9HiUVJpeZ4K2An+wgIHLyQ0RERERESieXF+NOB2akftqAVcBfAPMIegc/BlxR6ABFREREhtOO/d10dcf6jcUTSXrjyVDX640liE1fwG9sDjOvuZ9lK9cXIkzJU9Yzwe6+Pf3ZzD4J/Km770oNbTKzdcDDwDcLG6KIiIjI8BndUM/GXYeYO2UMvbEESXcSSWiMhmuq1RCN0Pxn72H+tHH8QL2Cy0bYFmmnAkcGjB1JjYuIiIhUrKaRUeZOGcPGXYc4mnDiqQQ44RR0hlhKK2wS/AjwLTObaWZ1ZjaLYAb40cKFJiIiIlIaTSOjTB3X0LddH6kjYrBx1yE27TpI0sEdemJJIlm0idh8xyf5ny/9fREjllyFTYKvAMYDm4EYsBGYCFxeoLhERERESqarO8bLB3r7tuOJJPWROuZOGcOewzEcSBLMENdHtPZYJQq7bPLLwPlmNh2YDmzPrBkWERERqVRd3bG+muDNuw+RdKcnlqSRYIY4zUAJcAXLd7GMA6TappnZaQDuviPfoERERERK5XBvnLlTxtA0MkpDNOj8Gk8kj6sJdo7NEAMsW7memx7c0Ld/RMT6zpfyEyoJNrM3AN8C5mQOEzwP+tcWERGRinXa+JHHjdVH6iCRZOOuQ0waHWXP4RgGfTPEAAtnT+T0X49k/4CX56Q8hZ0Jvg34MfAN4HDhwhEREREpTwmnb4Z475a9JAlme4/Gk2zadZClK9YyZWzDoElw06v+lGnjGo+/qJRM2CR4FvCP7p7NCnIiIiIiFa+hvq6vJtgM6hxiCceBPYdjrLhiITf9fAPb93cfd+4pr2tl7rRxwxyxnEjYau7VwCsKGYiIiIhIJTGDaEZ/tEVzJg15bDLWQ/xoz3CEJVkKOxP8IHCfmd0KvJS5w91X5B2ViIiISJnz1Exw2qpNe4Y8duv3rmf3iHq46tfDEZpkIWwS3Jb6fdWAcQeUBIuIiEhVcw/6BI+M1pFIOuMa6/tqgqUyhCqHcPdZQ/zMzicYM7vAzH5vZhvN7JpB9puZ3Zzav87M/vhk55rZRDNbaWYbUr8npMZPMbP/MbNDZnZLPnGLiIhIbXGCJKo+UkdDNMKcKWO5ZckCDvfGSx2aZClUEmxmpw31EzYQM4sAXwUuBOYDl5jZ/AGHXQicmfppA76exbnXAA+6+5kEZRzpBLkHuB74RNiYRUREpDbVWVATnGnRnEmDtleT8hS2HKKT1CIZgwjbJ/j1wEZ33wxgZt8H3gE8m3HMO4Bvp7pSPGFm481sGjDzBOe+A3hz6vxvAQ8B/+Tuh4HHzGxuyHhFREREpELl0yIt03TgOuDOPGKZDmzL2O4EFmZxzPQhxtPnTnX3nQDuvtPMpuQRo4iIiEjOJrx2Mac1aZa4nIRKgt39hQFDL5jZB4BfAN8JGYsNMjZwtnmoY7I5N5Tdu3fT0tLSt93W1kZbW9sJzhARERHpb8Jr38qsIvUJbm9vp729Pb05dJ826SfsTPBgjgBn5HF+J3B6xnYzsCPLY0ac4NyXzWxaahZ4GrArl6AmT57MmjVrcjlFREREpJ/4kS56DyWLcu3MCTozG7pPm/QTKgk2syUDhkYDlxAsohHWk8CZZjYL2A68Fxh4n/uApama34VAVyq53X2Cc+8DPgDcmPp9bx4xioiIiAxq2cr1rN6yt297RMRoiAavSu18aAVdk2fAP15YqvBkgLAzwTcM2D4ErCGoCw7F3eNmthT4GcHLdd9092fM7MrU/luBB4C3ARsJZp4vO9G5qUvfCNxlZh8CXgTenb6nmW0FxgEjzOydwFvdPfNFPLq6umhra6O1tZXW1tawX09ERESq3NWL5/HNX27hcE8cB5Lu9MYSROqMcYsu4eiv7iravTs6Oujo6ABoKtpNqowFjRZkKC0tLa5yCBERkdpx8W2P931+dueBfvvmp+p612wNZnxHNdT3jf/gw2/gNf/vZxzpjTOivo7uWFD+YMC+XyxnxP4X2bW+uCvGmdlT7t5y8iMlVJ/gNDObamYt6rggIiIickx95FiKFY0YsV2bSxiNDCbsYhkTzOzHwE7gV8BOM+sws4kFjU5ERESkAsUTx16CiyWc6JS8FtWVIgg7E7ws9fuVQBQ4i6Al2ZcLEVQ5SdcEp+psRERERE7IHXpiSerrgpfjGqN1NP3ZpTSf//6i3bOjoyPdIUI1wVkKVRNsZjuAs9y9K2NsAvCsu08rYHwlp5pgERGR2pJLTXCkzjiaOJZLjYgYsYTTGK3rVxIRTySZNKaBR//pvGKGrprgHORTEzwwey5O8zsRERGRMtUQjbBw1kS23vh2tt74dhqiEeqsf00wQPLQHxifPDDEVaQUwibBPwe+Y2azzazOzGYDdwArCxaZiIiISJXo/K8vsPo//7XUYUiGsEnwx4EGgn69MWAD0AhcXaC4yoZqgkVERKTcqSY4d6EWy3D3vcAFqWWITwe2ufvOgkZWJpqamjLX4xYREREpO+lFvZYvX9518qMFQswEm1m9mb3HzBrcfae7/6paE2ARERERqU45J8HuHgdud/feIsQjIiIiIlJ0YWuCnzSzswsaiYiIiEiV6Y0lONgTZ3TLO+Hsv2TZyvWlDklSQtUEA/8DdJhZO/ACGe3R3H1FIQIrF+kX49K1NiIiIiKZOvcdYeY19/dtW8a+hmiEBTPGwawLAbh68byixNDR0ZF+iV8vxmUp7GIZW4bY5e5eVesCarEMERGR2pLLYhmjGur7xtLHH+mNM6qhvt85B156AYCffOa9RYsbtFhGLsJ2h5hV6EBEREREqtVT3/tC8KHISbBkL1QSbGYzhtjV6+4v5xGPiIiISNlLerB07sGeOKu37GX6+EaaJ4wqdViSg7A1wVs5ftlkAMysF/g+8HF31/qAIiIiUlU69x3plwQpAa5MYbtDXA48AiwG5qV+PwT8H+CvgVcDXyxAfCIiIiJlpXnCKMY21rNw1kQWzpqoBLhChZ0J/hTwRnffk9reZGa/Ax5x91ea2QaCJLniqTuEiIiIlDt1h8hd2CT4VKB7wNiR1DjuvtnMquIfQcsmi4iISL7mv+3Sol5fyybnLmw5xKPAHWZ2hpnVmdlM4BupcczsNcBLBYlQREREpMJNPet1TD3rdaUOQzLkUxM8EdgCxIBNwOTUOAR9oq/IOzoRERGRKrBv23r2bdNqceUkbDnEAXc/38ymA9OB7e6+3cyaAdx9XcEiFBEREalwT991U/Dhcx8obSDSJ+xM8F1mZu6+3d1/lUqApwArCxmciIiIiEgxhE2CE8BX0htmNh74b+CBQgQlIiIiIlJMYZPgJcDrzewTZjYK+AnwK3f/x8KFVh7SLdJSbUdEREREyk5HRwdtbW2gFmlZC5UEu/sRoBX4CPAEsNnd2woZWLlIt0hTj2AREREpV62tremWrmqRlqWsX4wzsyWDDH8fuAz4WXq/u68oUGwiIiIiVeE177yy1CHIALl0h7hhiPFe4F9Snx1QEiwiIiKSYdKc15Q6BBkg6yTY3WcVMxARERGRarVn029Tn95Q0jjkmLB9gkVEREQkS7/90a3Bhy9U5StUFSnUi3FmtsjMZg8Ym2NmiwoTloiIiIhI8YRtkXYbwdLIg42LiIiIiJS1sOUQZ7j7pswBd99kZmcUICYRERGRstEbS3A04QCs3rKX6eMbSxyRFELYJHi3mc1w9xfTA6kEeG9hwiof6cUyWltb1StYRESkBjVEIyyYMa7f2LM7D5QomsF1dHSkF/bSYhlZCpsE/xfwHTP7MLABOBP4GvDDQgVWLtKLZYiIiIiE9dr3fKyo109P1i1fvlyLZWQpbE3wZ4CXgGeBo8AzwG7g+gLFJSIiIlI1Jpw+jwmnzyt1GJIh1Eywux8GLjazq4AzgK3uvrugkYmIiIhUiZefezL1SX2Cy0VefYLdfRewq0CxiIiIiJTUspXrWb3l2CtOIyJGQzSS93WffeCO4MN/fDTva0lhhEqCzcyAy4HzgclktEtz9/MKE5qIiIjI8Lp68TyuXhyULVx82+Nl9wKcFE7YmuAbgM8C24BzgaeA+cDTBYpLRERERKRowibBS4C/cPdPAkdTv98JzCxUYCIiIiKl1LnvCAd74hzsibN6y1469x0pdUhSQGFrgie6+29SnxNmFnH3J8zsLYUKTERERKSUmieMonnCqJzO6Y0nce8/1tUdo/7MNxLf8FgBo5N8hU2Ct2cslrEZuNDM9gCxwoUmIiIiUlkiFvSO7T4ap86MSJ2xcdch5p7zJka/flGpw5MMYZPgrwPnAC8Cy4AfEbwc95kCxSUiIiJSceojddTFksSTAI4lnFecOpamkRNKHZoMELZP8M0Zn+80s0eBMe7+fMEiExEREalAZkCqJCIaMZpGRtmxLl0KoT7B5SLnJNjM/hx4NbAKeBL4T+CvgafN7H3u3lnYEEVEREQqR2ZNcCzhdHXH+P3KO1MjnyxJTHK8nLpDmNnHCEoflgArga8Cs4BPE/w3zxcLHWCpdXV10dbWRkdHR6lDERERkTIXTyRJcmwBBQeef+kgiQlnFPW+HR0dtLW1ATQV9UZVxHzgK4wnOthsPfB+d19tZn8CPAKc7u47zOxUYK27TytSrCXR0tLia9asKXUYIiIiMswuvu3xIfc9u/MA86eNO2587bb9xONJRjfWc6Q3DsCZU8eybuXdxDc8xq71vy5avABm9pS7txT1JlUi1z7Bp7r7agB3/yXQ4+47UtsvAaMLHJ+IiIhIxWiorwtqgjM0jYyqPVoZCrtYRlpvQaIQERERERlGub4YN8LMPp2x3ThgO1qAmERERESqysLL/rnUIcgAuSbBTwCLM7ZXD9h+Iu+IRERERKrMqIlTSx2CDJBTEuzuby5SHCIiIiJV68U1Pw8+fFh9gstF2BXjRERERCRLmx7+r9Sn60sahxyT74txIiIiIiIVR0mwiIiIiNQclUOIiIiInETnviNs39/Ttz0iYic4WiqBkmARERGRk2ieMIpfXnM+EKwk9+zOAyWOSPKlJFhERESkyBZ9+IZShyADKAkWERERKbKGMeNLHYIMoCRYREREpMi2rLo/+KA+wWVDSbCIiIhIkW19/IHUp8+VNA45Ri3SRERERKTmKAkWERERkZqjJFhEREREak5FJMFm9k0z22Vmvwtx7jlm9lsz22hmN5uZpcYvNbPdZvZ06ufywkcuIiIiIuWoUl6MuwO4Bfh2iHO/DrQBTwAPABcAP0nt+4G7Ly1EgCIiIiJDedNVXyp1CDJARcwEu/sjwN7MMTObY2Y/NbOnzOxRM3vlwPPMbBowzt0fd3cnSKLfOTxRi4iIiATqRzRSP6Kx1GFIhopIgofQDlzl7ucAnwC+Nsgx04HOjO3O1FjaRWa2zszuNrPTB7vJ7t27aWlp6ftpb28vVPwiIiJSIzY+dA8bH7qnKNdub2/vy1OASUW5SRWqlHKIfsxsDLAI+P+pEl+AhsEOHWTMU787gDvdvdfMrgS+BZw38ODJkyezZs2a/IMWERGRmrXtqV8U7dptbW20tbUBYGZ7inajKlORSTDBDPZ+d39t5qCZRYCnUpv3EdQDN2cc0gzsAHD3P2SMLwc+X7RoRURERKSsVGQ5hLsfALaY2bsBLPBH7p5w99emfv7Z3XcCB83s3FRXiL8D7k2dMy3jkn8FPDfc3yOTyiyk3OiZlHKi51HKzdHeo6UOQfJUEUmwmd0JPA68wsw6zexDwPuAD5nZb4BngHcMcfpHgG8AG4FNHOsM8VEzeyZ1/keBSwc7uauri7a2Njo6Ok4YY777q+EP/Mm+Y6XcM99rhjk/l3OyPVbPpJ7JfM4v9DOZ7zHV8DxCdTyT1fA8ZnPcyfb3Hu3NOqbh0NHRkS6JaCp1LJWiIpJgd7/E3ae5e9Tdm939dnff4u4XuPsfuft8d//XIc5d4+6vdvc57r401SUCd7/W3V+VOv8t7v78YOc3NTXR3t5Oa2vrCWPM939M1aAa/rgX4prV8ge+GuiZDH9+uSXB1aIansk84TUIAAAGw0lEQVRqeB6zOa7SnsfW1tb0fyx2lTqWSmGpnFCGYGa7gReyOLSJEz94J9s/Caj0YvaTfcdKuWe+1wxzfi7nZHusnkk9k/mcX+hnMt9jquF5hOp4JqvheczmuEr9G3mGu08udRCVQEmwiIiIiNSciiiHEBEREREpJCXBIiIiIlJzlASLiIiISM1RElyGzGy0mX3LzJab2ftKHY+Imc02s9vN7O5SxyICYGbvTP2NvNfM3lrqeETM7Cwzu9XM7jazj5Q6Hjk5JcHDxMy+aWa7zOx3A8YvMLPfm9lGM7smNfwu4G53v4JgIQ+RgsvlmXT3ze7+odJEKrUix2fyR6m/kZcCF5cgXKkBOT6Tz7n7lcB7gJZSxCu5URI8fO4ALsgcSC3z/FXgQmA+cImZzSdY3nlb6rDEMMYoteUOsn8mRYbDHeT+TF6X2i9SDHeQwzNpZn8FPAY8OLxhShhKgoeJuz8C7B0w/HpgY2qW7SjwfYKV7zoJEmHQv5EUSY7PpEjR5fJMWuDzwE/c/dfDHavUhlz/Trr7fe6+iGBVWylzSrBKazrHZnwhSH6nAz8ELjKzrwOVtWSNVLpBn0kzO8XMbgUWmNm1pQlNatRQfyevAv4c+Bszu7IUgUnNGurv5JvN7GYzuw14oDShSS7qSx1AjbNBxtzdDwOXDXcwIgz9TP4BUKIhpTDUM3kzcPNwByPC0M/kQ8BDwxuK5EMzwaXVCZyesd0M7ChRLCKgZ1LKj55JKTd6JquEkuDSehI408xmmdkI4L3AfSWOSWqbnkkpN3ompdzomawSSoKHiZndCTwOvMLMOs3sQ+4eB5YCPwOeA+5y92dKGafUDj2TUm70TEq50TNZ3czdSx2DiIiIiMiw0kywiIiIiNQcJcEiIiIiUnOUBIuIiIhIzVESLCIiIiI1R0mwiIiIiNQcJcEiIiIiUnOUBIuIiIhIzVESLCIiIiI1R0mwiEiOzKzZzNzMZmaM/cTMPlWk+80ws0+Y2TlmttXM/rYI9zjPzP7FzPT/CyJSE/THTkSqnpk9ZGa9ZnbIzLrM7Gkze3ch7+HuF7r7Fwp5zQxTgEZ3f6pI18fdfwG8Cv3/gojUCP2xE5Fa8Vl3HwOcAtwBrDCzuaUNSURESkVJsIjUFHePA8uBeuC16XEz+5iZPW9mB83sRTP7dzOLpPadamb3pWaR1wMXDLxuarb5utTnfiULZjYzVT7RnDH2UTPbkrrfdjP7t1y/i5mNMrN7zex+Mxudce9/NrPHUjPfa8zsdRnnjDGzL5rZ5tS9nzGzN+Z6bxGRSldf6gBERIaTmY0APpLaXJ+xqxO4ENhKkBz/NPX5NuB7wAFgBjASuDvPGOYBNwKvc/dnzGw88Mocr3Eq0AGsAZa6eyJj95VAK/Bb4B+AB8xsjrsfAG4HTgPOJ/h+cwHP5/uIiFQizQSLSK34v2a2H+gGPgdc7u7r0jvd/R533+KBtcB3gPPNbDpwHvAJd+9y95eAf8kzljhgwKvMbIy773f3J3I4fz6wCrjb3T8yIAEGuN3dn3L3o8DnCb7zX5rZFOA9wJUZ33WDu2/M8/uIiFQcJcEiUitucPfxwCTgAYLEto+ZXWJmT5rZH8ysC/h7YDKQLmF4IePwLfkE4u6bgfcBVwA7UqULb83hEh8EjgBfHWL/1ox7OfAiwfeYmRpef/wpIiK1RUmwiNQUd98HXA68zczeAWBmpwPfJZghnubuTQQJpgHbU6eekXGZWSe5zSFgdMb2aYPE8UN3X0yQlN8F3Gtmo7L8GtcQlDr83MwmDLJ/ZvqDmRlBGUcnx5LjM7O8j4hI1VISLCI1x933Al8G/i3VF3cMwd/D3UDMzM4F3p86thN4CPiCmY0zs6nA9Se5xRrgktRLaJMHHm9mrzCzC1JJbwzoIqjLTWb5FeIEM8m/BR5KxZTpg2b2x2YWBT4JjALud/ddBPXMX0u9rGdmNlddMkSkFikJFpFadRMwDfg7d38O+AxwL7CfYKb1zoxjlwANwDbgUeDbJ7n2dUAC2EmQQH9/wP4RqfvtTN3vo8BF7t6TbfDunnT3K4AHgUfMbEbG7nbgZmAfcDHwdnfvSu37IPA08DBwkOA7n5rtfUVEqoUF5WIiIlKuzKwFuMDdP5fFsVuB69z9uyHuczfw3lQbORGRqqaZYBERERGpOUqCRUTK3x4gbmbnFOsGZnYesIHs65JFRCqayiFEREREpOZoJlhEREREao6SYBERERGpOUqCRURERKTmKAkWERERkZqjJFhEREREao6SYBERERGpOUqCRURERKTmKAkWERERkZrzv2xvEycoVSsVAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "src.view_brightness_profile('r500')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `view_brightness_profile` method doesn't actually create the brightness profile itself however, it is simply a wrapper around the [radial_brightness](../../xga.imagetools.html#xga.imagetools.profile.radial_brightness) function implemented in the 'imagetools' section of XGA. I will not go into detail on how the generation is undertaken, but the end result is an instance of the XGA [SurfaceBrightness1D](../../xga.products.html#xga.products.profile.SurfaceBrightness1D) class. I will mention, however, that you can supply minimum quality requirements when generating these profiles, for instance requiring each bin to have a minimum signal to noise, as shown here:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "src.view_brightness_profile('r500', min_snr=1.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Retrieving the SurfaceBrightness1D instance from the source" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is likely that you want to do more than just look at the profile, so the next step is to extract it from wherever it has been stored in the source object. Most profile types have a specific get method, but a general `get_profiles` method also exists, which I shall show first. We have to supply the profile type, with a 'combined_' prefix to indicate that the profile was generated using combined data:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "src.get_profiles('combined_brightness')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that because we only supplied the type of profile we want, both the brightness profiles we generated have been returned to us. If we specifically wanted the profile we generated out to $R_{500}$ without any automatic re-binning however, we can use the `get_1d_brightness_profile` method and tell it that the outer radius of the profile we want is R$_{500}$ (something that, after the re-binning applied to the second profile, is no longer true for both):" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sb_prof = src.get_1d_brightness_profile('r500')\n", "sb_prof" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving XGA profiles to disk" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All profiles generated by XGA are automatically saved to the {xga save path}/profiles/{source name} directory, so that if the same source is declared again at some point in the future then they can be loaded back in without having to run the generation again. Running the generation procedure again for brightness profiles wouldn't be much of a problem, considering how fast it is, but other profiles take considerably more time to generate.\n", "\n", "A profile will generally automatically re-save itself when a change (such as fitting a model) is made to it, and you can manually save it by calling the `save()` method and passing a path. \n", "\n", "The profile is saved by pickling the profile instance, which can result in some relatively large files if there are many points and model fits stored within the profile:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [], "source": [ "sb_prof.save(\"random_brightness_profile.xga\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you have a profile object loaded in then you can access the automatic save path which XGA has assigned it by using the `save_path` property:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'/home/dt237/code/PycharmProjects/XGA/docs/source/notebooks/advanced_tutorials/xga_output/profiles/A907/brightness_profile_A907_58634018.xga'" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sb_prof.save_path" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting a model to the SurfaceBrightness1D instance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, we've generated this profile, and now we've decided we want to be able to represent it with a model. You, as a new user, don't know a priori what models have been implemented for whatever profile type you're working with; as such you should call the `allowed_models()` method, which will tell you what models you're allowed to fit: " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+--------------+---------------------------------------------+-----------------------------------------+\n", "| MODEL NAME | EXPECTED PARAMETERS | DEFAULT START VALUES |\n", "+==============+=============================================+=========================================+\n", "| beta | beta, r_core, norm | 1.0, 100.0 kpc, 1.0 ct / (arcmin2 s) |\n", "+--------------+---------------------------------------------+-----------------------------------------+\n", "| double_beta | beta_one, r_core_one, norm_one, beta_two, | 1.0, 100.0 kpc, 1.0 ct / (arcmin2 s), |\n", "| | r_core_two, norm_two | 0.5, 400.0 kpc, 0.5 ct / (arcmin2 s) |\n", "+--------------+---------------------------------------------+-----------------------------------------+\n" ] } ], "source": [ "# Passing grid here changes the style of the table. The default style looks nicer in my opinion, but LaTeX\n", "# has a hard time rendering it for the PDF version of this documentation\n", "sb_prof.allowed_models('grid')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that you can see which models you're allowed to fit to this particular type of profile, we might decide that we're going to fit the simple beta model. There are a couple of slightly different ways we could decide to do this, with the simplest being we just pass the name of the model as a string to the `fit` method of the profile. This would declare an instance of that model class, with the default starting values and priors, and then fit it.\n", "\n", "Alternatively, we could decide that we want to customise the model parameters, declare an instance of that particular model manually, and pass it to the fitting function. I'm going to demonstrate this approach, so I can introduce you to the way models work in XGA; firstly, we have to import the model that we chose:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# I do not condone importing anywhere but the top of a Jupyter notebook, but it \n", "# helps the demonstration to do it here\n", "from xga.models import BetaProfile1D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we called the `allowed_models` method we were shown the default start values for the model parameters, including the required units, and so we can declare suitable astropy quantities now as we declare a new model instance with non-standard start values (the model will error if start parameters with the wrong units are passed):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[, , ]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst = BetaProfile1D(cust_start_pars=[Quantity(0.8), Quantity(50, 'kpc'), Quantity(0.6, 'ct/(arcmin^2 s)')])\n", "beta_inst.start_pars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I am not claiming that these are 'better' start values than the default ones for this particular cluster, I am simply doing this for demonstrative purposes. Model classes have many built in methods, some of which provide visualisations of the model, some provide convenient access to derivatives and integrated values, and some just provide general information about the model:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+-----------------+-----------------------------------------------------------------------------+\n", "| Beta Profile | |\n", "+=================+=============================================================================+\n", "| DESCRIBES | Surface Brightness |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| UNIT | ct / (arcmin2 s) |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| PARAMETERS | beta, r_core, norm |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| PARAMETER UNITS | , kpc, ct / (arcmin2 s) |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| AUTHOR | placeholder |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| YEAR | placeholder |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| PAPER | placeholder |\n", "+-----------------+-----------------------------------------------------------------------------+\n", "| INFO | Essentially a projected isothermal king profile, it can be |\n", "| | used to describe a simple galaxy cluster radial surface brightness profile. |\n", "+-----------------+-----------------------------------------------------------------------------+\n" ] } ], "source": [ "beta_inst.info('grid')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also see and alter the default priors that have been set for the model parameters. Though this is largely only relevant if you wish to fit with the MCMC option, and at the moment is limited to uniform priors. The `par_priors` property returns the priors in the form of a list of dictionaries:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{'prior': , 'type': 'uniform'},\n", " {'prior': , 'type': 'uniform'},\n", " {'prior': , 'type': 'uniform'}]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst.par_priors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `par_priors` property is also how you set new priors, by passing another list of dictionaries in the same format (an error will be thrown if there aren't the correct number of priors, or if the units are incorrect):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[{'prior': , 'type': 'uniform'},\n", " {'prior': , 'type': 'uniform'},\n", " {'prior': , 'type': 'uniform'}]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst.par_priors = [{'prior': Quantity([-1., 4.]), 'type': 'uniform'}, \n", " {'prior': Quantity([ 1., 1400.], 'kpc'), 'type': 'uniform'}, \n", " {'prior': Quantity([0., 2.], \"ct / (arcmin2 s)\"), 'type': 'uniform'}]\n", "beta_inst.par_priors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we've setup our model instance, we're going to fit it to the profile. There are several fitting methods implemented in the profile base class, including one based on the `emcee` ensemble MCMC sampler, one based around `scipy`'s 'curve_fit' implementation of non-linear least squares, and one based around `scipy`'s implementation of orthogonal distance regression. We shall use the MCMC fitter here, with a simple gaussian likelihood, as I wish to demonstrate some of the extra features that are enabled with an MCMC fit. **I will mention again that you could just pass 'beta' as the first argument here if you just wished to use the default beta model setup**:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 30000/30000 [00:33<00:00, 905.55it/s] \n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sb_prof.fit(beta_inst, num_steps=30000, num_walkers=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fit method will return a model instance (in this case the same one we passed in), which has had the fit results added to it, though you can also retrieve the fit directly from the profile object (as the model is stored internally). We have to specify the name of the model as well as the fit type, as the same type of model can be fitted and stored with multiple fit methods:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sb_prof.get_model_fit('beta', 'mcmc')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploring the fitted model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the fact that we setup our own model instance prior to running the fit method (and the way Python memory addressing works), we can actually just look at our initial `beta_inst` model, we don't need to retrieve it from the object or the fit method (notice we never assigned their return to a variable). The model class has three visualisation methods implemented, though they are meant more for convenience than for the production of publishable figures. We can view the model curve (if we pass radii at which we wish to calculate values), and the parameter distributions from the fit:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We have to pass radii at which to evaluate the model, I just pass a set of radii \n", "# from 1 (because its a log scale by default) to 1400kpc.\n", "beta_inst.view(Quantity(np.arange(1, 1400, 1), 'kpc'), figsize=(10,7))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "beta_inst.par_dist_view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mathematics with the fitted model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are various ways of interacting with the model mathematically, the simplest of which is using the fitted model to predict a value at a particular radius. For this you just need to call the model instance and pass the radius at which you wish to evaluate the model, no further information is required as the knowledge of the model parameter values is stored within the instance:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$[0.0030329884] \\; \\mathrm{\\frac{ct}{s\\,arcmin^{2}}}$" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst(Quantity(600, 'kpc'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default this returns a single value, using the best fit values to predict it; however more often than not a single value is not very useful, we need knowledge of the uncertainty associated with it. In this case we can use the parameter posterior distributions to calculate a value distribution at the given radius:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$[0.0031287637,~0.00301519,~0.0030929105,~\\dots,~0.0029865089,~0.003054497,~0.0030366847] \\; \\mathrm{\\frac{ct}{s\\,arcmin^{2}}}$" ], "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst(Quantity(600, 'kpc'), use_par_dist=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On a slight side note, you can also have a quick look at the predicted distribution in histogram form:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAFgCAYAAADuCe0ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAZAUlEQVR4nO3df5BdZ33f8fcH4dgOP2KMJVdYBjmNQmKTwYDqQKATJw6xCzRyJ4G6/Iho3VEpJoRMaS3j0BJSDTKkaWiJp1UIVCSA0SR1rdACNmpUSsDYEhjjX8LCBluxxxKEFEyoEsvf/nHO1tfS/ri7e1f77N33a+bOPfe5zzn3efZI+9nnnHOfk6pCkqTWPGGxGyBJ0mQMKElSkwwoSVKTDChJUpMMKElSk5642A0AOO2002rt2rWL3Qxp9Pbt656f/ezFbYe0gPbu3fvNqlo56u02EVBr165lz549i90MafTOP7973r17MVshLagk31iI7XqIT5LUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUpCZmM5eWms1XbZu0fOvlm45zS6Tx5QhKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktSkoQIqydeTfCXJLUn29GWnJrkhyd3989MG6l+RZH+SfUkuXKjGS5LG12xGUD9TVedW1fr+9WZgV1WtA3b1r0lyNnAJcA5wEXB1khUjbLMkaRmYzyG+DcD2fnk7cPFA+TVVdbiq7gX2A+fN43MkScvQsAFVwPVJ9iaZmMvl9Kp6EKB/XtWXnwHcP7Dugb7scZJsSrInyZ5Dhw7NrfWSpLE17Fx8L66qB5KsAm5Ictc0dTNJWR1TULUN2Aawfv36Y96XlqKj5+jbdN+D/PAzVy9Sa6SlbagRVFU90D8fBK6lO2T3UJLVAP3zwb76AeDMgdXXAA+MqsGSpOVhxoBK8qQkT5lYBn4euA3YCWzsq20EruuXdwKXJDkxyVnAOuCmUTdckjTehjnEdzpwbZKJ+h+pqk8muRnYkeRS4D7glQBVdXuSHcAdwCPAZVV1ZEFaL0kaWzMGVFXdAzx3kvJvARdMsc4WYMu8WydJWracSUKS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUpGEni5V0nBw94eyErZdvmrRcGleOoCRJTTKgJElN8hCftMDuue9Btk1y2M5DdtL0DChpGlOdD5K08DzEJ0lqkiMoaZE4OpOm5whKktQkA0qS1CQDSpLUJM9BSXg+SGqRIyhJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTnElCWiJmM9uFN0PUOHAEJUlqkgElSWqSASVJapIBJUlqkgElSWqSASVJapIBJUlqkt+D0rLj3XOlpcERlCSpSQaUJKlJBpQkqUkGlCSpSQaUJKlJBpQkqUkGlCSpSQaUJKlJQwdUkhVJvpTk4/3rU5PckOTu/vlpA3WvSLI/yb4kFy5EwyVJ4202I6hfBe4ceL0Z2FVV64Bd/WuSnA1cApwDXARcnWTFaJorSVouhgqoJGuAlwPvHyjeAGzvl7cDFw+UX1NVh6vqXmA/cN5omitJWi6GnYvvd4B/BTxloOz0qnoQoKoeTLKqLz8DuHGg3oG+7HGSbAI2ATzzmc+cZbOlmTnnnrS0zTiCSvIK4GBV7R1ym5mkrI4pqNpWVeurav3KlSuH3LQkabkYZgT1YuAXkrwMOAl4apI/BB5KsrofPa0GDvb1DwBnDqy/BnhglI2WJI2/GUdQVXVFVa2pqrV0Fz/8z6p6LbAT2NhX2whc1y/vBC5JcmKSs4B1wE0jb7kkaazN535QW4EdSS4F7gNeCVBVtyfZAdwBPAJcVlVH5t1SSdKyMquAqqrdwO5++VvABVPU2wJsmWfbJEnLmDNJSJKaZEBJkppkQEmSmmRASZKaZEBJkppkQEmSmmRASZKaZEBJkppkQEmSmmRASZKaNJ+5+KTjyvs7ScuLIyhJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTvMxcGkNTXZK/9fJNx7kl0tw5gpIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1ydttSMuIt+HQUuIISpLUJANKktQkA0qS1CTPQUny3JSa5AhKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUpBkDKslJSW5K8uUktyf5jb781CQ3JLm7f37awDpXJNmfZF+SCxeyA5Kk8TTMCOow8LNV9VzgXOCiJC8ENgO7qmodsKt/TZKzgUuAc4CLgKuTrFiIxkuSxteMAVWdh/uXJ/SPAjYA2/vy7cDF/fIG4JqqOlxV9wL7gfNG2mpJ0tgb6hxUkhVJbgEOAjdU1ReA06vqQYD+eVVf/Qzg/oHVD/RlR29zU5I9SfYcOnRoPn2QJI2hoQKqqo5U1bnAGuC8JM+Zpnom28Qk29xWVeurav3KlSuHa60kadmY1VV8VfWXwG66c0sPJVkN0D8f7KsdAM4cWG0N8MC8WypJWlaGuYpvZZJT+uWTgZ8D7gJ2Ahv7ahuB6/rlncAlSU5MchawDrhp1A2XJI23YW5YuBrY3l+J9wRgR1V9PMnngR1JLgXuA14JUFW3J9kB3AE8AlxWVUcWpvmSpHE1Y0BV1a3A8yYp/xZwwRTrbAG2zLt1kqRly5kkJElNGuYQn3Tcbb5q22I3QdIicwQlSWqSASVJapIBJUlqkgElSWqSASVJapIBJUlqkgElSWqS34OSNCtTfUdt6+WbjnNLNO4cQUmSmmRASZKaZEBJkppkQEmSmmRASZKaZEBJkppkQEmSmmRASZKaZEBJkppkQEmSmmRASZKa5Fx8kqY01bx70vHgCEqS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CQDSpLUJANKktQkA0qS1CSnOtKiciodSVNxBCVJapIBJUlqkgElSWqSASVJapIBJUlqkgElSWqSASVJapIBJUlqkgElSWqSM0lIGompZgXZevmm49wSjQtHUJKkJhlQkqQmzXiIL8mZwIeAvwU8CmyrqvcmORX4GLAW+Drwqqr6dr/OFcClwBHgzVX1qQVpvaTmeehPczXMOahHgH9RVV9M8hRgb5IbgNcDu6pqa5LNwGbg8iRnA5cA5wDPAD6d5Eer6sjCdEFLgbOWS5qtGQ/xVdWDVfXFfvm7wJ3AGcAGYHtfbTtwcb+8Abimqg5X1b3AfuC8UTdckjTeZnUOKsla4HnAF4DTq+pB6EIMWNVXOwO4f2C1A33Z0dvalGRPkj2HDh2afcslSWNt6IBK8mTgj4G3VNV3pqs6SVkdU1C1rarWV9X6lStXDtsMSdIyMVRAJTmBLpw+XFX/tS9+KMnq/v3VwMG+/ABw5sDqa4AHRtNcSdJyMWNAJQnw+8CdVfXbA2/tBDb2yxuB6wbKL0lyYpKzgHXATaNrsiRpORjmKr4XA68DvpLklr7sbcBWYEeSS4H7gFcCVNXtSXYAd9BdAXiZV/BJkmZrxoCqqs8y+XklgAumWGcLsGUe7ZIkLXPOJCFJapIBJUlqkgElSWqSASVJapL3g9JIOeeepFFxBCVJapIBJUlqkgElSWqSASVJapIBJUlqkgElSWqSASVJapIBJUlqkgElSWqSASVJapJTHWlOnNJI0kJzBCVJapIBJUlqkgElSWqSASVJapIBJUlqklfxSVoUU10JuvXyTce5JWqVIyhJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSkwwoSVKTDChJUpMMKElSk5642A2QpEGbr9p2TNnWyzctQku02BxBSZKaZEBJkpo0Y0Al+UCSg0luGyg7NckNSe7un5828N4VSfYn2ZfkwoVquCRpvA0zgvovwEVHlW0GdlXVOmBX/5okZwOXAOf061ydZMXIWitJWjZmvEiiqj6TZO1RxRuA8/vl7cBu4PK+/JqqOgzcm2Q/cB7w+dE0VwtpspPTkrRY5noO6vSqehCgf17Vl58B3D9Q70Bfdowkm5LsSbLn0KFDc2yGJGlcjfoiiUxSVpNVrKptVbW+qtavXLlyxM2QJC11cw2oh5KsBuifD/blB4AzB+qtAR6Ye/MkScvVXL+ouxPYCGztn68bKP9Ikt8GngGsA26abyMlLW9TnR/1C7zjbcaASvJRugsiTktyAPg3dMG0I8mlwH3AKwGq6vYkO4A7gEeAy6rqyAK1XZI0xoa5iu8fTfHWBVPU3wJsmU+jJGkYjqzGmzNJSJKa5GSxy5Dfd5K0FDiCkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJufgkjR1nOR8PjqAkSU0yoCRJTTKgJElN8hzUGPO+T5KWMkdQkqQmGVCSpCYZUJKkJhlQkqQmGVCSpCYZUJKkJhlQkqQm+T0oScvGZN8NdH6+djmCkiQ1yYCSJDXJgJIkNclzUEuM97mRtFwYUGPCiWEljRsP8UmSmuQIStKy5mHzdhlQjfKQnaTlzkN8kqQmGVCSpCZ5iG+ReShPapPnphafIyhJUpMMKElSkwwoSVKTPAd1nHiuSZJmx4CSpFnw4onjx4BaAI6WJGn+DKh5MIgkzYWjsOEYUJI0Av7BOnoGlCQ1wpHV4y1YQCW5CHgvsAJ4f1VtXajPWmj+ZSRJx9+CBFSSFcDvAi8FDgA3J9lZVXcsxOfNxWShs1z/SpHUtuU6slqoEdR5wP6qugcgyTXABmDBAmoUO9CRkqSlbra/x1oOuVTV6Dea/BJwUVX90/7164CfrKo3DdTZBEz8ZJ4N7Bt5Q0brNOCbi92IBTCO/RrHPoH9WmrGsV9T9elZVbVy1B+2UCOoTFL2uCSsqm3AkhmyJNlTVesXux2jNo79Gsc+gf1aasaxX8e7Tws1F98B4MyB12uABxbosyRJY2ihAupmYF2Ss5L8AHAJsHOBPkuSNIYW5BBfVT2S5E3Ap+guM/9AVd2+EJ91HC2Zw5GzNI79Gsc+gf1aasaxX8e1TwtykYQkSfPl/aAkSU0yoCRJTRrrgEpyUZJ9SfYn2TzJ+0nyH/r3b03y/JnWTfKeJHf19a9Nckpf/gNJPpjkK0m+nOT8gXVe0Jfv7z9vssvwl2K/dvfbuqV/rGqsT7/Z170lyfVJnjHw3hV9/X1JLhwoXwr7ai79Gtm+Ot79SvL0JH+a5OEk7zvqc5bs/pqhX0vy/1aSlybZ2++TvUl+dmCd2e+rqhrLB93FGV8Dfhj4AeDLwNlH1XkZ8Am67229EPjCTOsCPw88sV++CriqX74M+GC/vArYCzyhf30T8KL+cz4B/L0x6dduYH3D++qpA+u/GfhP/fLZfb0TgbP69VcsoX01l36NZF8tUr+eBLwEeAPwvqM+Zynvr+n6NZL9tQh9eh7wjH75OcCfz2dfjfMI6v9Pt1RVfw1MTLc0aAPwoercCJySZPV061bV9VX1SL/+jXTf8YLul8Ouvs5B4C+B9f32nlpVn69uL30IuHip92se7T+effrOwPpP4rEvi28Arqmqw1V1L7AfOG8J7atZ9Wse7W+iX1X1var6LPB/Bz9gqe+vqfo1Yse7T1+qqonvvN4OnJTkxLnuq3EOqDOA+wdeH+jLhqkzzLoA/4TuLwHo/rrYkOSJSc4CXkD3ZeUz+vVn2tawWunXhA/2w/y3z+PwyoL1KcmWJPcDrwH+9RDbWhL7apb9mjCKfTXM50xXZy79mq4dS3l/zWQp/t8a9IvAl6rqMHPcV+McUDNOtzRNnRnXTXIl8Ajw4b7oA3Q/9D3A7wCf698fph2z0Uq/AF5TVT8B/N3+8boh2j+ZBetTVV1ZVWfS9WdiLsg5/3xmqZV+wej21UyfM1OdufRrPu2YjVb6BUv3/1a3weQculMF/2wW7TjGOAfUMNMtTVVn2nWTbAReQfePaGJo+0hV/VpVnVtVG4BTgLv7ba2ZaltLuF9U1Z/3z98FPsLcDyctWJ8GfITuL7qZtrUk9tWAYfo1yn017ecMUWcu/ZquHUt5f01pCf/fIska4Frgl6vqawOfMft9VSM4adrig26WjHvoThZPnOA756g6L+fxJwdvmmld4CK624asPGpbPwg8qV9+KfCZgfdu7rc/cXLwZUu9X/22TuuXTwD+CHhDY31aN7D+rwB/1C+fw+MvJriHxy4mWAr7alb9GuW+Wox+DZS9nmMvJliy+2uqfo1yfy3Cv8FT+nq/OElbZr2v5rQjl8qD7uqUr9JdiXJlX/aGiZ3d/6B+t3//KwxcNTPZun35frrjsrf0j4mrV9bS3TLkTuDTdNPPT6yzHrit39b76GfwWMr9ojsxuhe4le5k6Hvpf8k31Kc/7n/utwJ/Apwx8N6Vff19DFxNtET21az6Nep9tUj9+jrwF8DDdH+NT1xNttT31zH9GvX+Op59An4d+B6P/R65BVg1133lVEeSpCaN8zkoSdISZkBJkppkQEmSmmRASZKaZEBJkppkQEmSmmRASZKaZEBJYyzJa5O8McmPLnZbJiR5cZJ39/O1SVMyoKTxdhrd9FRfHcXGkrw+ySvms42q+jPgPuDkUbRJ48uA0kgluTLJ7QN32/zJWa7/5iR3JvnwzLXn3MYjfdu+nOSLSX5qmrqfm2Fba5PcNkn5KUneOIr2LqYkz0ryB0n+XZKX0N1g79XzDSlpGE9c7AZofCR5Ed1s6M+vqsNJTqObZHKYdUM3J9gb6eaQu3fhWsr3q+rc/nMvBN4F/PRk7amqKcNrBqfQ9eXq+TS0AZcB76yquwGS/Ajwzar6+OI2S8uBIyiN0mq6X16HAarqm1X1wNGjjCRvTfKOvvzOJFcDXwR+n+720juT/Fpf978l2duPyjYNbOOX+1Hal5P8QV/22iQ39aOj/5xkxRBtfirw7X79o9tzZpKHBz7z7UnuSnJDko8meWv/1ookv9e38fokJwNbgb/dt+U9A9s+ut6U7U7ypCT/ve/jbUn+4WRlc9lRsxDg0YHXj05VURq5+cz868PH4AN4Mt3sxV+lGzn8dF++FrhtoN5bgXf05Y8CLxx47+v0txroX5/aP59MNxPy0+luK7GPx25JcCrw43SzKp/Ql11Ndz+aydp5pG/nXcD/AV4w0M6j2/Nw/7y+X+dk4Cl098R6a7/OI8C5fb0dwGsn6fNU9aZsN909dn5vYBs/NFnZDPvkLcBz5rFPzwK20wXuTwHP7dt+8Tz/rbyJgVmzffiY7OEhPo1MVT2c5AV0dwD9GeBjSTYDu6dZ7RtVdeM07785yT/ol88E1gF/h+7+M9/sP/cvkrya7nb0N/d3xz4ZODjFNgcP8b0I+FCS58zQnpcA11XV9/v1/mTgvXur6pZ+eS9dGH12km1MVu+Uadr9FeC3klwFfLyq/neSY8qm6ONIVHeodeNRxa9ayM+UJhhQGqmqOkIXSLv7X6Yb6e4jNXg4+aSB5e9Nta0k5wM/B7yoqv4qye5+3TD5bau3V9UVs2zv5/tzZStnaM9kt6yecHhg+QhTX502Wb0p211VX+0D/2XAu5JcX1XvnKxsmrY91oGkpXvr/MpiN0Dt8xyURibJs5OsGyg6F/gG8BCwKsnTk5xIdyHFMH4I+HYfTj9GdzdOgF3Aq5I8vf/cU/uyX0qyaqIsybOGaPOP0d119lszVP0s8PeTnJTkyXR3IZ3Od+kOBc5kynYneQbwV1X1h8BvAc+frGyIzwCgqtLKY9g2a3lzBKVRejLwH5OcQne+ZT+wqar+Jsk7gS8A99Kd+xnGJ4E3JLmV7pzTjQBVdXuSLcD/SnIE+FJVvT7JrwPXJ3kC8Dd0V6B9Y5Ltnpxk4lBbgI1VdaQ/xDapqro5yU6621l/A9hDd/5qqvrfSvJn/cUhn6C7Y+lk9e6Ypt0/AbwnyaN9+T+foqxZSV5Od/7ua32oSkPzjrrSkJI8uT/P9oPAZ+jC94uL3a7pJHkL8OmqOua7WjOs94SqGvqKvSS/QDfaPeacWD/ifGNVvXug7E3AjVW1Zzbt0vLiCEoa3rYkZ9OdB9veejgdrb+Q5Hy6w49vq+67aucArwFOB94PPJvuvN+eJNcC/5buoo1rgR+hu/jl+8CDwAnAc+gumjgVeDTJ6+m+U3YP3RWR7wL+JfDvj0snNVYMKGlIVfXqxW7DPK0BbqW7GnHigo3DdIH7EPA64CbgE1X14STv5tgv6X6qqj6SZFdVXZDkbXSX/Q/6ZFV9LMlHgSuBp9Fdov4/FrqDGi8GlLRMVNW7kzyX7hzW2/vg+VXgPXTn4n6jrzpxbu3oL+kCfKd/PtQ//zVw4lF1Jq6ETFX95qjar+XHgJLG38lJTgD+Md33yB7lsasW/xS4nG4EdbSrgXckeRDYOarGJDmJIafA0vLmRRLSGOsvWf9x4K6q+voiNweAJM8HVgGfq6rvzFRfy5cBJUlqkl/UlSQ1yYCSJDXJgJIkNcmAkiQ1yYCSJDXJgJIkNcmAkiQ16f8Bpsc33SzHNQcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "beta_inst.predicted_dist_view(Quantity(600, 'kpc'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you have a model instance and wanted to make a prediction using parameter values other than those from the fitting process, you can use the model method and manually pass parameters:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$3.7082667 \\times 10^{-5} \\; \\mathrm{\\frac{ct}{s\\,arcmin^{2}}}$" ], "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst.model(Quantity(600, 'kpc'), Quantity(2, ''), Quantity(240, 'kpc'), Quantity(2, 'ct/(arcmin^2s)'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are also convenient ways to calculate derivatives of the model, and again we can either return a single value or a distribution (again by setting the `use_par_dist` argument). In general, if there is an analytical solution to the 1st derivative of a model that has been implemented in XGA, then the analytical solution is what is being used to calculate the value. If there is no analytical solution then the scipy `derivative` function is being used, and the user must pass an appropriate `dx` value - this function is also what is used to calculate nth order derivatives:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$[-1.407308 \\times 10^{-5}] \\; \\mathrm{\\frac{ct}{kpc\\,s\\,arcmin^{2}}}$" ], "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst.derivative(Quantity(600, 'kpc'))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$[8.7143157 \\times 10^{-8},~8.7500849 \\times 10^{-8},~8.8227485 \\times 10^{-8},~\\dots,~8.723953 \\times 10^{-8},~8.8259712 \\times 10^{-8},~8.7700771 \\times 10^{-8}] \\; \\mathrm{\\frac{ct}{s\\,arcmin^{2}\\,kpc^{2}}}$" ], "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_inst.nth_derivative(Quantity(600, 'kpc'), dx=Quantity(0.01, 'kpc'), order=2, use_par_dist=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other mathematical functions include `inverse_abel` for performing inverse abel transforms on the models, and `volume_integral`, for performing volume integrals using the model. You can read more about them in the [BaseModel1D API documentation](../../xga.models.html#xga.models.base.BaseModel1D)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Back to the profile" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that I've shown you a bit of what you can do with the actual model object, I'm going to show you how the surface brightness profile object we started with makes use of the model. Firstly we can take a look at the MCMC chains produced during the fitting of the model using the `view_chains()` method, and again we must tell the method what the name of the model is:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sb_prof.view_chains('beta')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also make the contour plots which are so often seen in relation to MCMC, both using the `corner` module and the `getdist` module, depending which you prefer:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sb_prof.view_corner('beta')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Removed no burn in\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:fine_bins_2D not large enough for optimal density\n", "WARNING:root:fine_bins_2D not large enough for optimal density\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sb_prof.view_getdist_corner('beta')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now view the profile with both data and model shown, using the profile `view()` method, and add some lines indicating particular radii using the `draw_rads` argument. There are a few other ways that users can configure the plots generated by the profile `view()` method, and they can be explored in the method [documentation](../../xga.products.html#xga.products.base.BaseProfile1D.view):" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sb_prof.view(draw_rads={'600kpc': Quantity(600, 'kpc'), 'R$_{500}$': src.r500})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we were to fit another model to this profile, and then view the profile, it would also be included in the plot generated by this `view()` method. To demonstrate this I will quickly fit a default double beta model to the profile (this time with the curve fit method), and then view the profile once again:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sb_prof.fit('double_beta', method='curve_fit')\n", "sb_prof.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also turn off the plotting of the models entirely, as well as the background subtraction:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sb_prof.view(models=False, back_sub=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Viewing multiple profiles on one plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is often the case that we wish to view multiple profiles on a single plot, either for a comparison or to present results from a sample of objects. This is very easy to do with XGA profiles due to the introduction of the [BaseAggregateProfile1D](../../xga.products.html#xga.products.base.BaseAggregateProfile1D) class, an instance of which contains multiple profile objects and allows them to easily be plotted together. The simplest way to create such an object is to add two (or more) profiles together, just using the normal '+' Python operator, though be aware that an error will be thrown if the profiles are not all of the same type.\n", "\n", "To demonstrate this I will declare another galaxy cluster object, and view the surface brightness profile to make sure one is generated:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "other_src = GalaxyCluster(0.80057775, -6.0918182, 0.251, 'XCSSDSS-124', r500=Quantity(1220.11, 'kpc'), \n", " r200=Quantity(1777.06, 'kpc'))\n", "other_src.view_brightness_profile('r200')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then I will simply add the profile I just created for XCSSDSS-124 to the profile we have been using throughout this tutorial, then call the `view()` method, just as I did before:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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