{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online[![Binder](https://static.mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.19?urlpath=lab/tree/tutorials/analysis/3D/flux_profiles.ipynb)\n", "- You may download all the notebooks in the documentation as a\n", "[tar file](../../../_downloads/notebooks-0.19.tar).\n", "- **Source files:**\n", "[flux_profiles.ipynb](../../../_static/notebooks/flux_profiles.ipynb) |\n", "[flux_profiles.py](../../../_static/notebooks/flux_profiles.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Flux Profile Estimation\n", "\n", "\n", "This tutorial shows how to estimate flux profiles.\n", "\n", "## Prerequisites\n", "\n", "Knowledge of 3D data reduction and datasets used in Gammapy, see for instance the first analysis tutorial.\n", "\n", "\n", "## Context\n", "A useful tool to study and compare the saptial distribution of flux in images and data cubes is the measurement of flxu profiles. Flux profiles can show spatial correlations of gamma-ray data with e.g. gas maps or other type of gamma-ray data. Most commonly flux profiles are measured along some preferred coordinate axis, either radially distance from a source of interest, along longitude and latitude coordinate axes or along the path defined by two spatial coordinates. \n", "\n", "## Proposed Approach\n", "Flux profile estimation essentially works by estimating flux points for a set of predefined spatially connected regions. For radial flux profiles the shape of the regions are annuli with a common center, for linear profiles it's typically a rectangular shape.\n", "\n", "We will work on a pre-computed `MapDataset` of Fermi-LAT data, use `Region` to define the structure of the bins of the flux profile and run the actually profile extraction using the `FluxProfileEstimator` \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup and Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:23.541905Z", "iopub.status.busy": "2021-11-22T21:03:23.541113Z", "iopub.status.idle": "2021-11-22T21:03:23.912644Z", "shell.execute_reply": "2021-11-22T21:03:23.912814Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from astropy import units as u\n", "from astropy.coordinates import SkyCoord\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:23.915075Z", "iopub.status.busy": "2021-11-22T21:03:23.914771Z", "iopub.status.idle": "2021-11-22T21:03:24.239294Z", "shell.execute_reply": "2021-11-22T21:03:24.239504Z" } }, "outputs": [], "source": [ "from gammapy.datasets import MapDataset\n", "from gammapy.estimators import FluxProfileEstimator, FluxPoints\n", "from gammapy.maps import RegionGeom\n", "from gammapy.utils.regions import (\n", " make_concentric_annulus_sky_regions,\n", " make_orthogonal_rectangle_sky_regions,\n", ")\n", "from gammapy.modeling.models import PowerLawSpectralModel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Read and Introduce Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:24.241599Z", "iopub.status.busy": "2021-11-22T21:03:24.241307Z", "iopub.status.idle": "2021-11-22T21:03:24.960910Z", "shell.execute_reply": "2021-11-22T21:03:24.961098Z" } }, "outputs": [], "source": [ "dataset = MapDataset.read(\n", " \"$GAMMAPY_DATA/fermi-3fhl-gc/fermi-3fhl-gc.fits.gz\", name=\"fermi-dataset\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is what the counts image we will work with looks like:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:24.963268Z", "iopub.status.busy": "2021-11-22T21:03:24.962942Z", "iopub.status.idle": "2021-11-22T21:03:25.192465Z", "shell.execute_reply": "2021-11-22T21:03:25.192668Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "counts_image = dataset.counts.sum_over_axes()\n", "counts_image.smooth(\"0.1 deg\").plot(stretch=\"sqrt\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are 400x200 pixels in the dataset and 11 energy bins between 10 GeV and 2 TeV:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:25.194759Z", "iopub.status.busy": "2021-11-22T21:03:25.194423Z", "iopub.status.idle": "2021-11-22T21:03:25.195863Z", "shell.execute_reply": "2021-11-22T21:03:25.196051Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WcsNDMap\n", "\n", "\tgeom : WcsGeom \n", " \taxes : ['lon', 'lat', 'energy']\n", "\tshape : (400, 200, 11)\n", "\tndim : 3\n", "\tunit : \n", "\tdtype : >i4\n", "\n" ] } ], "source": [ "print(dataset.counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profile Estimation\n", "\n", "### Configuration\n", "\n", "We start by defining a list of spatially connected regions along the galactic longitude axis. For this there is a helper function `make_orthogonal_rectangle_sky_regions`. The individual region bins for the profile have a height of 3 deg and in total there are 31 bins. The starts from lon = 10 deg tand goes to lon = 350 deg. In addition we have to specify the `wcs` to take into account possible projections effects on the region definition:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:25.199587Z", "iopub.status.busy": "2021-11-22T21:03:25.199289Z", "iopub.status.idle": "2021-11-22T21:03:25.203511Z", "shell.execute_reply": "2021-11-22T21:03:25.203692Z" } }, "outputs": [], "source": [ "regions = make_orthogonal_rectangle_sky_regions(\n", " start_pos=SkyCoord(\"10d\", \"0d\", frame=\"galactic\"),\n", " end_pos=SkyCoord(\"350d\", \"0d\", frame=\"galactic\"),\n", " wcs=counts_image.geom.wcs,\n", " height=\"3 deg\",\n", " nbin=51,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the `RegionGeom` object to illustrate the regions on top of the counts image:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:25.211346Z", "iopub.status.busy": "2021-11-22T21:03:25.211027Z", "iopub.status.idle": "2021-11-22T21:03:25.584112Z", "shell.execute_reply": "2021-11-22T21:03:25.584359Z" }, "nbsphinx-thumbnail": { "tooltip": "Learn how to estimate flux profiles on a Fermi-LAT dataset" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geom = RegionGeom.create(region=regions)\n", "ax = counts_image.smooth(\"0.1 deg\").plot(stretch=\"sqrt\")\n", "geom.plot_region(ax=ax, color=\"w\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we create the `FluxProfileEstimator`. For the estimation of the flux profile we assume a spectral model with a power-law shape and an index of 2.3" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:25.586736Z", "iopub.status.busy": "2021-11-22T21:03:25.586393Z", "iopub.status.idle": "2021-11-22T21:03:25.587603Z", "shell.execute_reply": "2021-11-22T21:03:25.587790Z" } }, "outputs": [], "source": [ "flux_profile_estimator = FluxProfileEstimator(\n", " regions=regions,\n", " spectrum=PowerLawSpectralModel(index=2.3),\n", " energy_edges=[10, 2000] * u.GeV,\n", " selection_optional=[\"ul\"],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the full configuration by printing the estimator object:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:25.589726Z", "iopub.status.busy": "2021-11-22T21:03:25.589431Z", "iopub.status.idle": "2021-11-22T21:03:25.590628Z", "shell.execute_reply": "2021-11-22T21:03:25.590863Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FluxProfileEstimator\n", "--------------------\n", "\n", " energy_edges : [ 10. 2000.] GeV\n", " fit : \n", " n_sigma : 1\n", " n_sigma_ul : 2\n", " norm_max : 5\n", " norm_min : 0.2\n", " norm_n_values : 11\n", " norm_values : None\n", " null_value : 0\n", " reoptimize : False\n", " selection_optional : ['ul']\n", " source : 0\n", " spectrum : PowerLawSpectralModel\n", " sum_over_energy_groups : False\n", "\n" ] } ], "source": [ "print(flux_profile_estimator)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run Estimation\n", "Now we can run the profile estimation and explore the results:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:25.598467Z", "iopub.status.busy": "2021-11-22T21:03:25.598125Z", "iopub.status.idle": "2021-11-22T21:03:32.357281Z", "shell.execute_reply": "2021-11-22T21:03:32.357513Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6.87 s, sys: 121 ms, total: 6.99 s\n", "Wall time: 6.76 s\n" ] } ], "source": [ "%%time\n", "profile = flux_profile_estimator.run(datasets=dataset)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.359732Z", "iopub.status.busy": "2021-11-22T21:03:32.359442Z", "iopub.status.idle": "2021-11-22T21:03:32.360561Z", "shell.execute_reply": "2021-11-22T21:03:32.360789Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FluxPoints\n", "----------\n", "\n", " geom : RegionGeom\n", " axes : ['lon', 'lat', 'energy', 'projected-distance']\n", " shape : (1, 1, 1, 51)\n", " quantities : ['norm', 'norm_err', 'norm_ul', 'ts', 'npred', 'npred_excess', 'stat', 'counts', 'success']\n", " ref. model : pl\n", " n_sigma : 1\n", " n_sigma_ul : 2\n", " sqrt_ts_threshold_ul : 2\n", " sed type init : likelihood\n", "\n" ] } ], "source": [ "print(profile)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the flux profile is represented by a `FluxPoints` object with a `projected-distance` axis, which defines the main axis the flux profile is measured along. The `lon` and `lat` axes can be ignored. \n", "\n", "### Plotting Results\n", "\n", "Let us directly plot the result using `FluxPoints.plot()`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.385342Z", "iopub.status.busy": "2021-11-22T21:03:32.384996Z", "iopub.status.idle": "2021-11-22T21:03:32.440636Z", "shell.execute_reply": "2021-11-22T21:03:32.440836Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = profile.plot(sed_type=\"dnde\")\n", "ax.set_yscale(\"linear\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the spectral model we specified above we can also plot in any other sed type, e.g. energy flux and define a different threshold when to plot upper limits:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.463023Z", "iopub.status.busy": "2021-11-22T21:03:32.462652Z", "iopub.status.idle": "2021-11-22T21:03:32.518736Z", "shell.execute_reply": "2021-11-22T21:03:32.518526Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "profile.sqrt_ts_threshold_ul = 2\n", "\n", "ax = profile.plot(sed_type=\"eflux\")\n", "ax.set_yscale(\"linear\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot any other quantity of interest, that is defined on the `FluxPoints` result object. E.g. the predicted total counts, background counts and excess counts: " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.586523Z", "iopub.status.busy": "2021-11-22T21:03:32.519834Z", "iopub.status.idle": "2021-11-22T21:03:32.644976Z", "shell.execute_reply": "2021-11-22T21:03:32.645200Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Counts ')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zhUpY2XwKx/JTPWCtj4wpQC1atKC2ttbXj4IpDKpKbW1t3Ar8RCynYEwB6tq1KzU1NWzfvj3oUEyAWrRoQdeuXdPaxxIFYwpQs2bNor1xjUmHFR8ZY4yJskTBGGNMlCUKxhhjoixRMMYYE2WJgjHGmChLFIwxxkRZomCMMSbKEgVjjDFRligYY4yJskTBGGNMlCUKxhhjoixRMMYYE5XVREFE2onIsyKyRkQ+EJFBIlIiIgtFZK372D5m+wki8pGIfCgimZt01BhjTEqynVP4KbBAVT8H9AM+AO4HXlHVXsAr7mtE5EzgOuAsYDjwcxEpynJ8SW2s3c+wyYvpOeFFhk1ezMba/UGHZIwxWZO1REFE2gAXAtMBVPUzVd0FXAnMdDebCYx0n18JzFLVT1W1GvgIODdb8aVi9NQlXPLoYtZu20udKmu37eWSRxcHGZIxxmRVNnMKPYDtQJWIvCMivxSRlkAnVd0C4D6e7G5/CrApZv8ad9kxRGSciCwTkWW5mEDk4KEjCV8bY0whyWai0BToD/xCVc8G9uEWFXmIN5nscXMJquo0VR2gqgM6duyYmUg9zL5tEL1ObkUTN7ImAr1ObpXV9zTGmCBlM1GoAWpUNTKT9rM4icRWEekM4D5ui9m+W8z+XYHNWYwvJdPHDqRnx1YUidCzYyumjx0YdEjGGJM1WZuOU1X/KSKbROR0Vf0QGAq87/6NBR52H+e5uzwP/FZEJgNdgF7A37IVX6q6n1TMwm9cFHQYxhiTE9meo/ku4Dci0hxYD1Ti5E6eEZFbgI3ANQCq+p6IPIOTaBwG7lTVuizHZ0wobKzdzy0z32L99n306NiS6WMH0v2k4qDDMo2QqB5XbJ83BgwYoMuWLQs6jEDZj0n+Gz11Ce/W7DqmEUOLZk1Y88PLAozKFDIRWa6qA+Kty3ZOwWRR/R+TSJPZfl3bMfu2QQFHZ9JhrdxMWNgwF3nOfkzyn7VyM2FiiUIe8/oxsVxC/rFWbiYsrE4hz1mdgjEmXVanUMCsyawxJpOs+MgYY0yU5RRCxIqCjDFBs5xCSNiIrMaYMLBEIUSseakxJmiWKISEtVUvIDur4WfnwfdLnMed1UFHZEzKLFEIEWurnueqRjh/vxgE29eA1jmPv7B+IyZ/WEVziFjz0gJx6EDi13Fs2rOJu165iw2fbKC0TSlThk6hW+tuSfczJtMsUTAmUyrnO48/Ow92/B30CEgT6NA78W4LKlm9YzUH6w4CsG73OkbNG8VbN76V7YiNOY4VHxmTadfPchICKXIer58FOE2Oh01eTM8JLzJs8mI21u6P7hJJELxeG5MrllMwxoPvfiMlZXDn0mMWJR7RtoqRc0dSvbuaIxyhCU0oa1uWjX/JmKQsp2BMHF79RkZPXeL7mImaHE8ZOoWytmUUSRFlbcuYMnSK7/cxpiEsp2CMh0z2G5l92yCGTV7Muu17OaJOk+OeHY+OaNutdTfmjpzbkHCNyYi0cgoi0l5EyrMVjDFhkY1hyf02OU5UF2FMpiXNKYjIa8AV7rYrgO0islhVv5Hd0IwJ1vSxA4+rU2gIaV5Lyx4/oXWHDbRsU4o0nwJ411FEiqri1UVEpuq08bJMpiWdT0FE3lHVs0Xk34Fuqvo9EVmpqoHnGGw+BROUdH+M6zc7BWhR1II+HfpQNbwq7j6RRGFp9c7j1p1XVgJgczsbXxo6n0JTEekMXAs8mNHITMrsjjA8vFoSJfsxTrfZaaSoKl5dRPQYNl6WybBUEoXvA38E3lDVt0SkB7A2u2GZiFSKELxYQpI96f4YVw2P3+zUK5cQK14xVuRz9EowcvnZ23VWWFIpPvpXVf1LsmVByFTxUZgv6kRFCBseHpFwPytayJ54P8bJhijJxlAW8a7dbz77btzP3ukTkdlxmOw6y08NLT6aAvRPYVleStypKPiBzFIpQvBiRQvZ46cSOhvNTr3Gy8rlZ2/XWWHxTBREZBBwPtBRRGJbGrUBirIdWC7lw0Wd7o+QV7t4kxlhHrwwWZ+IXLxXIQtzyUImeBYfichFwBDgduCJmFV7gD+oauD1CpkqPvJTFJAPCv3iNd6sTiE7vIrLwlKykKpExUep1CmcqqofZyWyBmoMdQrGmGB41dd4NRFuTIlCb+A+oJSY4iZV/UIGY/TF+ikYk1l2gxS/xR8crUAvhJKFhlY0/w6n+OiXQF0mAzMmV/y0/GlME98ka/rcGBMLr7rGTPd0D5tUcgrLVfWcHMWTFsspmFR49SZONImNnx7I+SxZ7+lCKEdPVyHkCLwkyimkMiDeH0Tk/4lIZxEpifyl8eZFIvKOiLzgvi4RkYUistZ9bB+z7QQR+UhEPhSRS1N9D2OS8TOJTVgmvtm0ZxMj546k4lcVjJw7kk17NjXoePEG2Jt92yDPQQAhP1roZVqu5kwP24CHqeQUquMsVlXtkdIbOM1ZBwBtVPVyEfkxsFNVHxaR+4H2qvptETkTeBo4F+gC/AnoraqeRVaWUzCpitebOFmfAT/7ZFLlgkqAhLmcdIu4knU28yomKuS75iAF1ZqpQTkFVS2L85dqgtAVGIFTHxFxJTDTfT4TGBmzfJaqfqqq1cBHOAmEMQ3mZxIbvxPfZPrOPl6OpXJBJZULKhk1bxTrdq+jTuuiczsniyHRXX+k/8W6h77Ewm9cFK03yNVdc2MUtlxYKjmFMfGWq+qvkh5c5FngIaA1cJ+bU9ilqu1itvk/VW0vIo8Db6rq/7rLpwMvqeqzXse3nILJhExVKKdyZ+9HvBxL+xZOqeuyrcdf/wM6DUhYH2J3/eESxOfR0NZHsbcELYChwNtAwkRBRC4HtqnqchEZkkqccZYdl2KJyDhgHED37t1TOKwx8cX7EY/cbSf7EY+XkERkui5iytApnomW19zOiWL40dVduG3h/+Nw0Vaa1nXiR8N+3qD4/GiMrZm8hK01U9KcwnE7iLQFfq2qVyTZ7iHgq8BhnMSkDTAHJ5EZoqpb3CG5X1PV00VkAoCqPuTu/0dgoqp6ToprOQXTEJFEId7d9qqxqxLulyg3kMu6CK9cjlcMflpiZVqh9AqOJ18Su4a2PqpvP9Ar2UaqOkFVu6pqKXAd8Kqq3gg8D4x1NxsLzHOfPw9cJyIniEiZ+x5/8xGfMSmpGl5F1fAqerbtSRP3q9CEJvRs2zPpvonuxP3WRfgRGWRvxZgVzB05N5qDSBRDothz0dIJwleOngmjpy7hkkcXs3bbXupUo/088k0qdQp/4GgxThFwBvCMqt6f8ps4xUeROoWTgGeA7sBG4BpV3elu9yBwM07uYryqvpTouJZTMJngp04h6JZJDZGojiJTuYjG0Cu4vtFTl6Q9xH1QGppTeAT4H/fvP4EL00kQAFT1NVW93H1eq6pDVbWX+7gzZrtJqtpTVU9PliAYkyled9uJ5DI3kGl+chF+cxCJegX7ac0Uhjb9XuciUT+PsMSeipTqFESkE0crnP+mqtuyGlWKwpxTyJeyxSA1pmEk8oVXLsJv7+5M5QiS5TxyJVlPd69B9MIQe6wG5RRE5Fqcsv1rcOZpXioiV2c2xPwUL+UfPXVJXpQtBn3X4tXGPlL5a4LhlYvwWw+R6f4NYaiLSHQupHktLXv8hNZnPEDLHj9Bmtce3S4EsacilTqFd4FhkdyBiHQE/qSq/XIQX0JB5RQS3bX069oOSH/6zFwJ0x2XVxt7v2MLWc4je8LSmikMdRF+z0UYYo9oaJ1Ck3rFRbUp7lfw4qX8ycaQCYug71q8Wv34TRAs55FdflszefFbR5HLntVeMfo9Fz+6ugttTnuUVp+bQJvTHuVHV3dJ+D5BSSWn8N9AOc64RACjgVWq+q0sx5ZU0HUKiVJ+rzqFsNQ1hOGuJZN39tnIeZjUpNsSK+wj0DakZ3q6Lbv6dOgTyLlo6NhH3wSm4iQM/YBpYUgQwiDRXUu8MWS86hoiRTphiT1XErX6SffuqSE5j6DrV/Kdn5ZYfusocnlX7ScH5CcXkeh9grg2E83RfBrQSVX/Um/5hcA/VHVd1qNLIuicQrq82jHn21R+2ea3nNrPiKEQfP1KY5RuuXyfDn0Af3fvfnPnme6L4nU8r+XJRrRtCL85hUeBPXGW73fXmTR51TVYgnA8P3dpiXIeie64gq5faYz8lsune10ky50nui4y3RfF63gJz0UA12ainMJqVe3jsW6VqvbNamQpyElOYWc1PH0d7FgLHXrB9bOgpMz34cJSpxB2ie7SMj2HQBjqV8xRiT57r3Ve10Si3DmEP5eYrWszUU4hUaLwkaqelu66XMp6olA1AjYvh0MHji5rdiI8+M/svWfAMp1o+T1evC/5d//yXSD9IoRkww9YQh0uiRJ9r+vCz1Dh+TAsRbauTb9DZ78lIreq6pP1DnYLsLzBUeWL2AQh3usCUv+OOpLV9jt6ZbLjJbrgI0VB8aRbhDD7tkFxfxgiIo0CTOb5aWGmn53EvvVfZ8/2fezr2BK94KToOq/rItE14TU0dbLrIgyCuDYTJQrjgd+LyFc4mggMAJoD/5bluMKhcj787DzY8XfQIyBNoEPvoKPKqkyXYX7KdorLZtLkhO0c+bQjB2rGAu18JRiRlkRecwgkErYx6wud37kqvK6LREU6+z8eh8pGaL4dEUVV4LOO7P94HBDTy7jDBlq2KUWaTwGOzihn18WxPBMFVd0KnC8iFwORuoX5qvpqTiILi+tnHV+nUADi3cF53Tn5rQgvPnUaLZtsgGa1iChNTthOy+5VFHcrZf/H4zwToGQ/DPEmnUnGcgPB8NNgwM+Nyb5NYzmxa72bj67Ht2SLJEyRoqWwXxdB9NJPOvOaqi4CFmU1ijArKYM7l6a9m9eHmfEPOc2K8GR3cJmelUua7zj6XBSa7wBKEyZAo6cuSfjDkKhoyYSD31ydnyIdZ5/PWLfhG9F9TnOvpcoF0zI+E16ueCVo2Z4QKe2Z18IkjP0UEvWGzHjvRa+K8C7nQOX8hJW1fub29SNRS5JEdQp+Wl1YhXH4+LkJ8vM5JtonX+e+8Oqln2hWwFT5an2UD8KcKHj96GZ0KIaqEfDxG8cvP3UwlZ1PTnvKyPYt2ieMz88X3G/OKN0fhkKe4tE0TD4PlJitBM0ShQZIt3lcognVE/VeTHY8T/Eqwu9cmvQuI9Nz+wZ9l269xY0fYU8wshWfJQo+NaTLfbp1Cr6HIE5Qp+DnLiNRfPESmTMPTgPC0QnIOqGZdOR62O8w8dtPweC/y71XZWgm298DbGrWlLtO6cyG1p9S2qYzU5o1JXIf4aeVjld8VcOrGPHcFWzcswFEQYXurUvBDTEMQ0VY80KTrnythM4myykk4afLfTbeK55cDkE8euoS3v3nOpr8S1W02d+Rf1ay5ns3AnaXbvJTvlZCN1RDJ9kpeImG4000WFWuBsxKJJd3OgcPtGd/9TfYu+Yh9ld/g4MH2kfX5XIobhvq2mRKpr/DhaDR5xTCPuFHMrm80wk6N2BDXRuTGZZTSCI05Yo7q53WRN8vcR53VifdJZd3OolyAzmd/CQE9RfGFKpGn1OAkJQr5umIrA2ZutCvoHMsxuQ7yykkEZpyxTwekTWXua0wTCVqTKGynEKYeHREg/B3sglFbssYkxLLKeSL62c5CYEUOY/Xz6JyQSWVCyoZNW8U63avo07rogNjhUloclvGmAaxzmthkmBE1k/rFcfUfx00G7nUmMJgiULIVW3ZBsDIusNUNy3iiAhNVCk7XBdwZMaYQmTFR3liyj+3UnboEEWqlB06xJR/bg06JGNMAbKcQthVzgeg28/OY+7mxjMtqDEmGFnLKYhINxFZJCIfiMh7InKPu7xERBaKyFr3sX3MPhNE5CMR+VBELs1WbHkpTiW0McZkWjZzCoeBe1X1bRFpDSwXkYXATcArqvqwiNwP3A98W0TOBK4DzgK6AH8Skd6qaoXn4HtaUGOMSUfWcgqqukVV33af7wE+AE4BrgRmupvNBEa6z68EZqnqp6paDXwEnJut+I7hY3gJY4wpRDmpUxCRUuBsYCnQSVW3gJNwiMjJ7manAG/G7FbjLqt/rHHAOIDu3bs3PLj6w0tsXwO/GBSd59gYYxqTrLc+EpFWwHPAeFX9JNGmcZYd191aVaep6gBVHdCxY8fMBJnHw0sYY0wmZTVREJFmOAnCb1R1jrt4q4h0dtd3Bra5y2uA2HEbugKbsxkf4OQGOn7OadEDzmPHz1kuwRjTKGWz9ZEA04EPVHVyzKrngbHu87HAvJjl14nICSJSBvQC/pat+I5hLXuMMXlm6ca1VEwfRp8Z5VRMH8bSjWszctysDYgnIoOBPwOrgMiA9w/g1Cs8A3QHNgLXqOpOd58HgZtxWi6NV9WXEr1HwQ2IZ4wxSZxXdRUAew/XIs12IqKoCnqohPdufS2lYyQaEC9rFc2q+gbx6wkAhnrsMwmYlK2YNtbuP25i9+4nFWfr7YK3sxqevg52rIUOvZwcUElZ0FEZYzIgkiAAzmOznZk5bmMYOrtRTuOYp5P2GGNSUzF9GIeLtkZzCk3rOrHiloUp7WtDZ7sa3TSO1qrKmII1ddjPaVrXKZogTB3284wct1GMfTT7tkFA/GkcC1bl/PiT9hhjCsJ53XulnDNIR6PKKfzo6i60Oe1RWn1uAm1Oe5QfXd0l6JCyy1pVGWPS1CjqFIKYXN4YY8LK6hRcuZxc3hhj8lGjqFOoGl4FxJ9c3hhjzFGNKqdgk8sbY0xijSKnEGGTyxtjTGKNKqdgjDEmMUsUjDHGRDWq4iNjTBbYGFsFxXIKxhj/qkY4MxVuXwNad3TmQpO3LFEwxjSMjbFVUCxRMMb45zVzoclbligYYxqmUMfY2lntDCr5/RLncWd10BHlhFU0N4RVsDVe9tkfVVIGdy4NOorMqRrhPMbORxKpK2kE85FYouBHI79oGr36ExjZZ1+YvOpKCvyGwBKFhkhUwVbgF06jkOgzzHTlaqL38rvO+FM533mMNx+J1w1Bl3OO7pfnGsXQ2VkT76Ip7uCss6kw85vXdKaRL3+8z95vEUqi94L014XpOsvnRCte7PO+Bh+/cfy2pw72nygEcI5s6OxsSVTBFvZmeo20Ei0tiT7DTFeuJnovP+uC/nyrRuR/H4ZIXcn3djqPJWXera38Jghe5yhSRB0AyylkSybvJDMpXn0IhO8OMwxy+Rkmeq901xV3SJzL8SPdu9nIdRbvrnribn8xhEUm7+yrRmQ+55ECyykEwetOMug7uIiw52TCIJdNLRO9l591fj/feNenn7vZyvn50YfBz/cxXg7Cr0znPDLAcgq5lKycOpfCmpMxmZHu55soB9nlHP93s1531WGoa/D6PuY6xxyyOgVrfZRrYblDv37W8ReiKRx+P99416dXxXoqNzLx+jCEqQVPGL6PIevnYYlCLjXky5Vpmb4Qw3DnZ45K9/NN1AwTMn8T0ZDirUxdZ17fxzAJIhdhxUc5Vmg/nlZxnbp8+OxzFWMmi7eSXWe57OeR6UroLH2vrPgoTEKWVTyO34s6DNnwMAtTkUkiubo+M1m8lUiy857J/zdZT3c/360AvleNK1HIhzu1IPn54UpW7GCOCkvCGYbvQaaLtxLJ5XmP915+h8UJqHircTRJLYSONLni9wsU9ia4QQtL08N8/x6k20w4l+c9WRNcP9+tAEagDV1OQUSGAz8FioBfqurDGTt4WO7UwqqQW5mEQVhafOXz98BPcU8uz3u894rkwvzc9QdQ3ByqimYRKQL+DgwDaoC3gOtV9f142w/o0lSXPXhO6hVH1jY/uQLorWmSsO9BMHJVqZ1CxfqASctYtrlO4h02bInCIGCiql7qvp4AoKoPxdt+QJciXTauVeoDhIWhLLWxsR+g8LHvQX5L1tEwhQEUB0zb65kohK346BRgU8zrGuC82A1EZBwwDuCczm7ZXaqDh4W95U8hCkuRiTmqEL8HjTGh8/qtS2cAxTjClijES7mOycqo6jRgGjg5hePKva0VTPb4+eIV4g+QCZfGVneV6LcuWb1gZF0CYWt9VAN0i3ndFdjsvbmkN3iY8S/fW62YwpbPled+ef3WpTKAYgJhq1NoilPRPBT4B05F8w2q+l687fOyR3O+8qo0zvdhkE34+MmRWt1VWvJm6GxVPQx8Dfgj8AHwjFeCYHIs18MgW/+GxslvjtRKCDImbHUKqOqLwItBx2HiyFWlcbLhAkxh81MUZHVXGRO6RMGEWC6/eI2xjNjkx8ilBS5UxUfGAPkxY5fJHisKCpTlFExwElUoWv+GxsuKggJliYIJRi6HNE6mMXZ8MsaDJQomOJmefSvdH3e/QxobU8AsUTDB8DMia6If8fpjvqTTq9UqtY2JsopmExy/FYp+xnyJp3K+VWobU0+oejSny3o0N1JevVf99mq1OgXTyNgczaaweLVM8ttiyVq7GBNlOQVjjGlkLKdgjBURGZMSq2g2hc+G/TYmZZYomMbBmp0akxJLFEzhs2anxqTMEgXTONgga8akxCqaTeNgzU6NSYnlFIwxxkRZomCMMSbKEgVjjDFRligYY4yJskTBGGNMlCUKxhhjovJ6QDwR2QN8GHQcKeoA7Ag6iBTlS6z5EidYrNmQL3FC+GI9VVU7xluR7/0UPvQa6S9sRGSZxZpZ+RInWKzZkC9xQn7FasVHxhhjoixRMMYYE5XvicK0oANIg8WaefkSJ1is2ZAvcUIexZrXFc3GGGMyK99zCsYYYzLIEgVjjDFReZEoiMhwEflQRD4SkfvjrBcRecxdv1JE+gcUZzcRWSQiH4jIeyJyT5xthojIbhFZ4f59N4hY3Vg2iMgqN45lcdYHfl5F5PSYc7VCRD4RkfH1tgnsnIrIUyKyTURWxywrEZGFIrLWfWzvsW/C6zpHsf63iKxxP9/fi0g7j30TXis5iHOiiPwj5jP+kse+YTins2Pi3CAiKzz2zdk5TYuqhvoPKALWAT2A5sC7wJn1tvkS8BIgwOeBpQHF2hno7z5vDfw9TqxDgBeCPq9uLBuADgnWh+K81rsW/onT8SYU5xS4EOgPrI5Z9mPgfvf5/cB/efwvCa/rHMV6CdDUff5f8WJN5VrJQZwTgftSuD4CP6f11v8P8N2gz2k6f/mQUzgX+EhV16vqZ8As4Mp621wJ/EodbwLtRKRzrgNV1S2q+rb7fA/wAXBKruPIoFCc1xhDgXWq+nGAMRxDVV8HdtZbfCUw030+ExgZZ9dUruuMiherqr6sqofdl28CXbMZQyo8zmkqQnFOI0REgGuBp7MZQ6blQ6JwCrAp5nUNx//QprJNTolIKXA2EG+6r0Ei8q6IvCQiZ+U2smMo8LKILBeRcXHWh+28Xof3Fyws5xSgk6puAedGATg5zjZhO7cAN+PkDONJdq3kwtfcYq6nPIrkwnZOLwC2qupaj/VhOKfHyYdEQeIsq9+ONpVtckZEWgHPAeNV9ZN6q9/GKf7oB0wB5uY4vFj/qqr9gcuAO0XkwnrrQ3NeRaQ5cAXwuzirw3ROUxWacwsgIg8Ch4HfeGyS7FrJtl8APYEKYAtOsUx9oTqnwPUkziUEfU7jyodEoQboFvO6K7DZxzY5ISLNcBKE36jqnPrrVfUTVd3rPn8RaCYiHXIcZiSWze7jNuD3ONnvWKE5rzhfnLdVdWv9FWE6p66tkWI293FbnG1Cc25FZCxwOfAVdQu760vhWskqVd2qqnWqegR40uP9w3ROmwKjgNle2wR9Tr3kQ6LwFtBLRMrcu8XrgOfrbfM8MMZtLfN5YHck+55LbhnidOADVZ3ssc2/uNshIufifAa1uYsyGkdLEWkdeY5T4bi63mahOK8uz7uusJzTGM8DY93nY4F5cbZJ5brOOhEZDnwbuEJV93tsk8q1klX16rL+zeP9Q3FOXV8E1qhqTbyVYTinnoKu6U7lD6cVzN9xWhY86C67HbjdfS7Az9z1q4ABAcU5GCe7uhJY4f59qV6sXwPew2kZ8SZwfkCx9nBjeNeNJ8zntRjnR75tzLJQnFOchGoLcAjnTvUW4CTgFWCt+1jibtsFeDHRdR1ArB/hlMNHrtcn6sfqda3kOM5fu9fgSpwf+s5hPafu8hmR6zNm28DOaTp/NsyFMcaYqHwoPjLGGJMjligYY4yJskTBGGNMlCUKxhhjoixRMMYYE2WJgskJEalzR4NcLSK/E5HiNPYdICKP+Xzf8em8l7vPEBF5IZ3tROSKRKNyikiF18ie2SZHR5F90WP9DBG52uexLxCR92NHCTX5zRIFkysHVLVCVfsAn+H0M4gSkSKvHVV1mare7fN9x+P0c8gqVX1eVR9OsEkFThv6oPxZVTP+/qr6Z4L9v0yGWaJggvBn4DT3DnaRiPwWWCUiLUSkyh1j/h0RuRiOuyNv6Q6I9pa7zZXu8iIRecTdd6WI3CUid+N0GFokIovc7S4RkSUi8rabY2nlLh8uzrwCb+AMTxCX13YicpOIPO4+v8bNEb0rIq+7vWt/AIx2c0ujReRcEfmr+z/8VUROjznOHBFZIM58DD+u995vu8d9JdH5SMTtof64e4c/n5gB+0TkHBFZLM4gbX+Uo8N1DHTP6xJx5mCwnEGhCrr3nP01jj9gr/vYFGfYhztw5kHYB5S56+4FqtznnwM2Ai2ImS8B+E/gRvd5O5zeqy3d4z3H0bkBIr2IN+COWQ90AF4HWrqvvw18132PTUAvnF7czxBnfoZE2wE3AY+7z1cBp0RirL/efd0mJtYvAs/FbLceaOu+38c44/l0dN+7rN7/F/d81Is7ev7c16OAhTjzD3QBdgFXA82AvwId3e1GA0+5z1fj9hQHHubYuQ5K8ZhPwP7y768pxuTGiXJ0Bqo/44wRdT7wN1WtdpcPxhnlFFVdIyIfA73rHecS4AoRuc993QLojvPD+oS6cwOoarwx7j8PnAn8xR0qqTmwBCcBqlZ3iGMR+V8g3lDGqW73F2CGiDwDHDcooqstMFNEeuEMjdIsZt0rqrrbfY/3gVOB9sDrkXMV8/95nY8PPN4XnIlhnlbVOmCziLzqLj8d6AMsdM9PEbBFnNnYWqvqX93tfoszgJ4pQJYomFw5oKoVsQvcH559sYtSOI4AV6nqh/WOJSQfJlmAhap6fb19K7z2FZE/Ap2AZcDjKbwHqnq7iJwHjABWuMev74fAIlX9N3Hm3ngtZt2nMc/rcL6nXv9f3PORAq9jvaeqg45Z6DGdqClMVqdgwuR14CsAItIb5463/o/dH4G73EQAETnbXf4ycLs4QxYjIiXu8j04U6OCM1jev4rIae42xe77rAHKRKSnu1000VDVS9WpIP/3RNvFEpGeqrpUVb8L7MAp/omNA5ycwj/c5zclPCuOJcBFIlJW7//zOh+JvA5c59bDdAYudpd/CHQUkUHusZqJyFmq+n/AHnFGygVn9FFToCxRMGHyc6BIRFbhjEN/k6pG7pojd7Y/xClqWelWdv7QXf5LnDqIlSLyLnCDu3wa8JKILFLV7Tg/wE+LyEqcROJzqnoQpxhovluBHHe6z1S3A/7brfBejfMD/C6wCDgzUtGMM4/zQyLyF5ximoTc2McBc9z/LzJOv9f5SOT3OCO4rsKZvGax+x6f4dQt/Jf7HitwivjAGal0mogswclR7E7hfUweslFSTeiJyFU44/2PTbqxOY6IDMGZ9N53PYCItFJ3IiNx+mN0VtV73NelOBXZfRoerQma5RRMqInIFcAkYGrQseSxz4A+4tF5LUUj3FzOapy5h38ETuc14A84xWSmAFhOwRhjTJTlFIwxxkRZomCMMSbKEgVjjDFRligYY4yJskTBGGNM1P8HVbY616d6aQsAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "quantities = [\"npred\", \"npred_excess\", \"npred_background\"]\n", "\n", "for quantity in quantities:\n", " profile[quantity].plot(label=quantity.title())\n", "\n", "plt.ylabel(\"Counts \")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Serialisation and I/O\n", "\n", "The profile can be serialised using `FluxPoints.write()`, given a specific format:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.648434Z", "iopub.status.busy": "2021-11-22T21:03:32.648045Z", "iopub.status.idle": "2021-11-22T21:03:32.937592Z", "shell.execute_reply": "2021-11-22T21:03:32.937820Z" } }, "outputs": [], "source": [ "profile.write(\n", " filename=\"flux_profile_fermi.fits\",\n", " format=\"profile\",\n", " overwrite=True,\n", " sed_type=\"dnde\",\n", ")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.939955Z", "iopub.status.busy": "2021-11-22T21:03:32.939608Z", "iopub.status.idle": "2021-11-22T21:03:32.959128Z", "shell.execute_reply": "2021-11-22T21:03:32.959374Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No reference model set for FluxMaps. Assuming point source with E^-2 spectrum.\n" ] } ], "source": [ "profile_new = FluxPoints.read(\n", " filename=\"flux_profile_fermi.fits\", format=\"profile\"\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:32.969575Z", "iopub.status.busy": "2021-11-22T21:03:32.969212Z", "iopub.status.idle": "2021-11-22T21:03:33.035305Z", "shell.execute_reply": "2021-11-22T21:03:33.035549Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = profile_new.plot()\n", "ax.set_yscale(\"linear\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The profile can be serialised to a `~astropy.table.Table` object using:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:33.336972Z", "iopub.status.busy": "2021-11-22T21:03:33.147070Z", "iopub.status.idle": "2021-11-22T21:03:33.338436Z", "shell.execute_reply": "2021-11-22T21:03:33.338671Z" } }, "outputs": [ { "data": { "text/html": [ "
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x_minx_maxx_refe_ref [1]e_min [1]e_max [1]ref_dnde [1]ref_flux [1]ref_eflux [1]norm [1]norm_err [1]norm_ul [1]ts [1]sqrt_ts [1]npred [1,1]npred_excess [1,1]stat [1]is_ul [1]counts [1,1]success [1]
degdegdegkeVkeVkeV1 / (cm2 s TeV)keV / (cm2 s TeV)keV2 / (cm2 s TeV)
float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float32float64boolfloat64bool
-0.19607843137254920.19607843137254920.070710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06nannannannannannan0.00.000False0.0False
0.19607843137254920.58823529411764670.39215686274509870710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06nannannannannannan0.00.000False0.0False
0.58823529411764670.98039215686274430.784313725490195570710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.1720.1240.4342.0591.435162.2304898611595517.448376-818.848True163.0True
0.98039215686274431.37254901960784361.17647058823529470710678.11910000000.000500000000.0004.428e-103.043e-019.166e+061.8940.2072.322120.59110.981450.20181889217974192.60909-3013.446False448.0True
1.37254901960784361.7647058823529421.568627450980392870710678.11910000000.000500000000.0004.428e-103.043e-019.166e+063.1460.2403.639280.64816.753601.6822045016994320.15994-4348.966False599.0True
1.7647058823529422.156862745098041.96078431372549170710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.7360.1831.11618.9914.358357.665030488639674.95968-2218.623False354.0True
2.156862745098042.5490196078431382.352941176470588870710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.6560.1861.04214.2143.770363.8333813660937666.89659-2452.717False367.0True
2.5490196078431382.9411764705882362.74509803921568770710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.4500.1790.8217.0112.648339.481827331467645.943058-2174.005False339.0True
2.9411764705882363.33333333333333443.13725490196078570710678.11910000000.000500000000.0004.428e-103.043e-019.166e+062.4210.2252.885174.14613.196528.0599574489612247.276-3887.531False531.0True
3.33333333333333443.7254901960784323.52941176470588370710678.11910000000.000500000000.0004.428e-103.043e-019.166e+062.1900.2092.621169.69813.027457.3561643542095223.84384-3183.973False458.0True
3.7254901960784324.1176470588235293.921568627450980770710678.11910000000.000500000000.0004.428e-103.043e-019.166e+062.8680.2323.345243.82115.615564.4775740614491293.2505-4201.048False566.0True
4.1176470588235294.5098039215686274.31372549019607870710678.11910000000.000500000000.0004.428e-103.043e-019.166e+061.5990.2052.02381.9019.050451.76273200537855163.63295-3040.782False448.0True
4.5098039215686274.9019607843137274.705882352941177570710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.5500.1820.92810.2433.201356.2851725096595656.336945-2313.852False356.0True
4.9019607843137275.2941176470588245.09803921568627670710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.2100.1710.5661.5861.259315.4980561641578421.543198-1979.035True315.0True
5.2941176470588245.6862745098039235.490196078431373570710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06-0.1470.1590.1840.824-0.908271.28752712430287-15.065349-1643.463True272.0True
5.6862745098039236.078431372549025.88235294117647170710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.3020.1620.6403.7661.941282.3287388310083731.023876-1692.050True282.0True
6.078431372549026.4705882352941186.27450980392156970710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.0930.1720.4510.3010.549317.73307633550269.594112-2034.334True319.0True
6.4705882352941186.8627450980392166.66666666666666770710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06-0.5000.170-0.1477.804-2.794311.3167047326352-51.37142-1931.193True311.0True
............................................................
12.35294117647061912.74509803921569612.54901960784315770710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.4410.1970.8485.3812.320424.972106268764745.757168-2877.351False425.0True
12.74509803921569613.13725490196077312.94117647058823670710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.4920.1940.8937.0182.649416.758847090610551.088707-2705.136False412.0True
13.13725490196077313.52941176470587513.33333333333332570710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.9590.2051.38225.8795.087455.2250730519383599.72924-3216.032False458.0True
13.52941176470587513.92156862745100213.7254901960784470710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.6110.1840.99312.4653.531376.6673329372988563.567978-2403.516False373.0True
13.92156862745100214.3137254901960814.11764705882354170710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.3770.1870.7634.4072.099385.156676485136139.272778-2526.278False384.0True
14.3137254901960814.70588235294118514.50980392156863370710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06-0.2440.1680.1032.022-1.422313.3736443463295-25.44988-1936.261True313.0True
14.70588235294118515.09803921568631114.90196078431374770710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.3070.1790.6793.1331.770366.32254744581432.01158-2178.012True357.0True
15.09803921568631115.49019607843138915.29411764705885170710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06-0.0830.1670.2650.240-0.490313.4101919680869-8.618814-1914.901True311.0True
15.49019607843138915.88235294117646615.68627450980392670710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.2280.1720.5841.8631.365330.8911319400612623.80037-2016.119True327.0True
15.88235294117646616.27450980392159616.0784313725490370710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.4270.1700.7806.9792.642324.6901970807428544.554733-1957.576False321.0True
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16.66666666666669617.05882352941177516.86274509803923470710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.6750.1971.08213.2773.644437.1341506313758670.588745-2830.574False431.0True
17.05882352941177517.450980392156917.25490196078433870710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.2560.1830.6342.0571.434381.2475096218782426.727816-2356.744True374.0True
17.450980392156917.84313725490200417.64705882352945270710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.1740.1820.5510.9510.975366.4533491178318.242867-2463.364True370.0True
17.84313725490200418.23529411764708318.03921568627454570710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.5930.1920.99010.7053.272408.0550496449774362.12828-2803.387False410.0True
18.23529411764708318.62745098039215818.4313725490196270710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.3060.1730.6663.3421.828334.1414142466950432.074398-2186.572True336.0True
18.62745098039215819.0196078431372618.8235294117647170710678.11910000000.000500000000.0004.428e-103.043e-019.166e+060.0100.1240.2690.0050.071171.81156491395930.9959075-877.032True172.0True
19.0196078431372619.4117647058823919.21568627450982470710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06nannannannannannan0.00.000False0.0False
19.4117647058823919.80392156862749419.60784313725494270710678.11910000000.000500000000.0004.428e-103.043e-019.166e+06nannannannannannan0.00.000False0.0False
" ], "text/plain": [ "\n", " x_min x_max x_ref e_ref [1] e_min [1] ... stat [1] is_ul [1] counts [1,1] success [1]\n", " deg deg deg keV keV ... \n", " float64 float64 float64 float64 float64 ... float64 bool float64 bool \n", "------------------- ------------------ ------------------ ------------ ------------ ... --------- --------- ------------ -----------\n", "-0.1960784313725492 0.1960784313725492 0.0 70710678.119 10000000.000 ... 0.000 False 0.0 False\n", " 0.1960784313725492 0.5882352941176467 0.392156862745098 70710678.119 10000000.000 ... 0.000 False 0.0 False\n", " 0.5882352941176467 0.9803921568627443 0.7843137254901955 70710678.119 10000000.000 ... -818.848 True 163.0 True\n", " 0.9803921568627443 1.3725490196078436 1.176470588235294 70710678.119 10000000.000 ... -3013.446 False 448.0 True\n", " 1.3725490196078436 1.764705882352942 1.5686274509803928 70710678.119 10000000.000 ... -4348.966 False 599.0 True\n", " 1.764705882352942 2.15686274509804 1.960784313725491 70710678.119 10000000.000 ... -2218.623 False 354.0 True\n", " 2.15686274509804 2.549019607843138 2.3529411764705888 70710678.119 10000000.000 ... -2452.717 False 367.0 True\n", " 2.549019607843138 2.941176470588236 2.745098039215687 70710678.119 10000000.000 ... -2174.005 False 339.0 True\n", " 2.941176470588236 3.3333333333333344 3.137254901960785 70710678.119 10000000.000 ... -3887.531 False 531.0 True\n", " 3.3333333333333344 3.725490196078432 3.529411764705883 70710678.119 10000000.000 ... -3183.973 False 458.0 True\n", " 3.725490196078432 4.117647058823529 3.9215686274509807 70710678.119 10000000.000 ... -4201.048 False 566.0 True\n", " 4.117647058823529 4.509803921568627 4.313725490196078 70710678.119 10000000.000 ... -3040.782 False 448.0 True\n", " 4.509803921568627 4.901960784313727 4.7058823529411775 70710678.119 10000000.000 ... -2313.852 False 356.0 True\n", " 4.901960784313727 5.294117647058824 5.098039215686276 70710678.119 10000000.000 ... -1979.035 True 315.0 True\n", " 5.294117647058824 5.686274509803923 5.4901960784313735 70710678.119 10000000.000 ... -1643.463 True 272.0 True\n", " 5.686274509803923 6.07843137254902 5.882352941176471 70710678.119 10000000.000 ... -1692.050 True 282.0 True\n", " 6.07843137254902 6.470588235294118 6.274509803921569 70710678.119 10000000.000 ... -2034.334 True 319.0 True\n", " 6.470588235294118 6.862745098039216 6.666666666666667 70710678.119 10000000.000 ... -1931.193 True 311.0 True\n", " ... ... ... ... ... ... ... ... ... ...\n", " 12.352941176470619 12.745098039215696 12.549019607843157 70710678.119 10000000.000 ... -2877.351 False 425.0 True\n", " 12.745098039215696 13.137254901960773 12.941176470588236 70710678.119 10000000.000 ... -2705.136 False 412.0 True\n", " 13.137254901960773 13.529411764705875 13.333333333333325 70710678.119 10000000.000 ... -3216.032 False 458.0 True\n", " 13.529411764705875 13.921568627451002 13.72549019607844 70710678.119 10000000.000 ... -2403.516 False 373.0 True\n", " 13.921568627451002 14.31372549019608 14.117647058823541 70710678.119 10000000.000 ... -2526.278 False 384.0 True\n", " 14.31372549019608 14.705882352941185 14.509803921568633 70710678.119 10000000.000 ... -1936.261 True 313.0 True\n", " 14.705882352941185 15.098039215686311 14.901960784313747 70710678.119 10000000.000 ... -2178.012 True 357.0 True\n", " 15.098039215686311 15.490196078431389 15.294117647058851 70710678.119 10000000.000 ... -1914.901 True 311.0 True\n", " 15.490196078431389 15.882352941176466 15.686274509803926 70710678.119 10000000.000 ... -2016.119 True 327.0 True\n", " 15.882352941176466 16.274509803921596 16.07843137254903 70710678.119 10000000.000 ... -1957.576 False 321.0 True\n", " 16.274509803921596 16.666666666666696 16.470588235294144 70710678.119 10000000.000 ... -2767.621 False 421.0 True\n", " 16.666666666666696 17.058823529411775 16.862745098039234 70710678.119 10000000.000 ... -2830.574 False 431.0 True\n", " 17.058823529411775 17.4509803921569 17.254901960784338 70710678.119 10000000.000 ... -2356.744 True 374.0 True\n", " 17.4509803921569 17.843137254902004 17.647058823529452 70710678.119 10000000.000 ... -2463.364 True 370.0 True\n", " 17.843137254902004 18.235294117647083 18.039215686274545 70710678.119 10000000.000 ... -2803.387 False 410.0 True\n", " 18.235294117647083 18.627450980392158 18.43137254901962 70710678.119 10000000.000 ... -2186.572 True 336.0 True\n", " 18.627450980392158 19.01960784313726 18.82352941176471 70710678.119 10000000.000 ... -877.032 True 172.0 True\n", " 19.01960784313726 19.41176470588239 19.215686274509824 70710678.119 10000000.000 ... 0.000 False 0.0 False\n", " 19.41176470588239 19.803921568627494 19.607843137254942 70710678.119 10000000.000 ... 0.000 False 0.0 False" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "table = profile.to_table(format=\"profile\", formatted=True)\n", "table" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No we can also estimate a radial profile starting from the Galactic center:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:33.341183Z", "iopub.status.busy": "2021-11-22T21:03:33.340905Z", "iopub.status.idle": "2021-11-22T21:03:33.341985Z", "shell.execute_reply": "2021-11-22T21:03:33.342174Z" } }, "outputs": [], "source": [ "regions = make_concentric_annulus_sky_regions(\n", " center=SkyCoord(\"0d\", \"0d\", frame=\"galactic\"),\n", " radius_max=\"1.5 deg\",\n", " nbin=11,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again we first illustrate the regions:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:33.351455Z", "iopub.status.busy": "2021-11-22T21:03:33.351171Z", "iopub.status.idle": "2021-11-22T21:03:33.616147Z", "shell.execute_reply": "2021-11-22T21:03:33.616344Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/adonath/software/mambaforge/envs/gammapy-dev/lib/python3.9/site-packages/scipy/optimize/_numdiff.py:579: RuntimeWarning: invalid value encountered in true_divide\n", " J_transposed[i] = df / dx\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geom = RegionGeom.create(region=regions)\n", "gc_image = counts_image.cutout(\n", " position=SkyCoord(\"0d\", \"0d\", frame=\"galactic\"), width=3 * u.deg\n", ")\n", "ax = gc_image.smooth(\"0.1 deg\").plot(stretch=\"sqrt\")\n", "geom.plot_region(ax=ax, color=\"w\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This time we define two energy bins and include the fit statistic profile in the computation:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:33.618804Z", "iopub.status.busy": "2021-11-22T21:03:33.618480Z", "iopub.status.idle": "2021-11-22T21:03:33.619695Z", "shell.execute_reply": "2021-11-22T21:03:33.619878Z" } }, "outputs": [], "source": [ "flux_profile_estimator = FluxProfileEstimator(\n", " regions=regions,\n", " spectrum=PowerLawSpectralModel(index=2.3),\n", " energy_edges=[10, 100, 2000] * u.GeV,\n", " selection_optional=[\"ul\", \"scan\"],\n", " norm_values=np.linspace(-1, 5, 11),\n", ")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:33.627366Z", "iopub.status.busy": "2021-11-22T21:03:33.627020Z", "iopub.status.idle": "2021-11-22T21:03:36.750743Z", "shell.execute_reply": "2021-11-22T21:03:36.750911Z" } }, "outputs": [], "source": [ "profile = flux_profile_estimator.run(datasets=dataset)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can directly plot the result:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:36.758590Z", "iopub.status.busy": "2021-11-22T21:03:36.758298Z", "iopub.status.idle": "2021-11-22T21:03:36.978521Z", "shell.execute_reply": "2021-11-22T21:03:36.978751Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = profile.plot(axis_name=\"projected-distance\", sed_type=\"flux\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However because of the powerlaw spectrum the flux at high energies is much lower. To extract the profile at high energies only we can use:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:36.983614Z", "iopub.status.busy": "2021-11-22T21:03:36.983253Z", "iopub.status.idle": "2021-11-22T21:03:36.984902Z", "shell.execute_reply": "2021-11-22T21:03:36.985055Z" } }, "outputs": [], "source": [ "profile_high = profile.slice_by_idx({\"energy\": slice(1, 2)})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now plot the points together with the likelihood profiles:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2021-11-22T21:03:37.003385Z", "iopub.status.busy": "2021-11-22T21:03:37.003069Z", "iopub.status.idle": "2021-11-22T21:03:37.381093Z", "shell.execute_reply": "2021-11-22T21:03:37.381280Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = profile_high.plot(sed_type=\"eflux\", color=\"tab:orange\")\n", "profile_high.plot_ts_profiles(ax=ax, sed_type=\"eflux\")\n", "ax.set_yscale(\"linear\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 4 }