{ "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://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.9?urlpath=lab/tree/simulate_3d.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[simulate_3d.ipynb](../_static/notebooks/simulate_3d.ipynb) |\n", "[simulate_3d.py](../_static/notebooks/simulate_3d.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D simulation and fitting\n", "\n", "This tutorial shows how to do a 3D map-based simulation and fit.\n", "\n", "For a tutorial on how to do a 3D map analyse of existing data, see the `analysis_3d` tutorial.\n", "\n", "This can be useful to do a performance / sensitivity study, or to evaluate the capabilities of Gammapy or a given analysis method. Note that is is a binned simulation as is e.g. done also in Sherpa for Chandra, not an event sampling and anbinned analysis as is done e.g. in the Fermi ST or ctools." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports and versions" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord, Angle\n", "from gammapy.irf import load_cta_irfs\n", "from gammapy.maps import WcsGeom, MapAxis, WcsNDMap, Map\n", "from gammapy.spectrum.models import PowerLaw\n", "from gammapy.image.models import SkyGaussian\n", "from gammapy.cube.models import SkyModel, SkyModels\n", "from gammapy.cube import MapFit, MapEvaluator, PSFKernel\n", "from gammapy.cube import make_map_exposure_true_energy, make_map_background_irf" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", "Gammapy package:\r\n", "\r\n", "\tpath : /Users/deil/work/code/gammapy-docs/build/dev/gammapy/gammapy \r\n", "\tversion : 0.9 \r\n", "\r\n" ] } ], "source": [ "!gammapy info --no-envvar --no-dependencies --no-system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "filename = (\n", " \"$GAMMAPY_DATA/cta-1dc/caldb/data/cta/1dc/bcf/South_z20_50h/irf_file.fits\"\n", ")\n", "irfs = load_cta_irfs(filename)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- ----- -------------- --- --- ------\n", "\t lon_0 2.000e-01 nan deg nan nan False\n", "\t lat_0 1.000e-01 nan deg nan nan False\n", "\t sigma 3.000e-01 nan deg nan nan False\n", "\t index 3.000e+00 nan nan nan False\n", "\tamplitude 1.000e-11 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n" ] } ], "source": [ "# Define sky model to simulate the data\n", "spatial_model = SkyGaussian(lon_0=\"0.2 deg\", lat_0=\"0.1 deg\", sigma=\"0.3 deg\")\n", "spectral_model = PowerLaw(\n", " index=3, amplitude=\"1e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "sky_model = SkyModel(\n", " spatial_model=spatial_model, spectral_model=spectral_model\n", ")\n", "print(sky_model)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Define map geometry\n", "axis = MapAxis.from_edges(\n", " np.logspace(-1.0, 1.0, 10), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=(0, 0), binsz=0.02, width=(5, 4), coordsys=\"GAL\", axes=[axis]\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Define some observation parameters\n", "# Here we just have a single observation,\n", "# we are not simulating many pointings / observations\n", "pointing = SkyCoord(1, 0.5, unit=\"deg\", frame=\"galactic\")\n", "livetime = 1 * u.hour\n", "offset_max = 2 * u.deg\n", "offset = Angle(\"2 deg\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "exposure = make_map_exposure_true_energy(\n", " pointing=pointing, livetime=livetime, aeff=irfs[\"aeff\"], geom=geom\n", ")\n", "exposure.slice_by_idx({\"energy\": 3}).plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "background = make_map_background_irf(\n", " pointing=pointing, ontime=livetime, bkg=irfs[\"bkg\"], geom=geom\n", ")\n", "background.slice_by_idx({\"energy\": 3}).plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "psf = irfs[\"psf\"].to_energy_dependent_table_psf(theta=offset)\n", "psf_kernel = PSFKernel.from_table_psf(psf, geom, max_radius=0.3 * u.deg)\n", "psf_kernel.psf_kernel_map.sum_over_axes().plot(stretch=\"log\");" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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FADC8KBcAQDrKBQCQjnIBAKSjXAAA6SgXAEA6ygUAkI5yAQCko1yASdi+xPaLtp9o+VmcuP8Ftl9v7nduy3v8xPaPW57vOcn2D9s+fdyyP7D9dduzmtu+afuArMxAVXWbFRnIdJykqyLi5j6+x7MRcXzz8fGSZPsaSa9FxFem2PYuNeZ9eqhl2fmSvhARr0s63vaPcuMC1TByASa3WI0bdxVn+1O2H2uORv6+ebfA1ZLOsv0LzXUWSDpI0vfKJQUaKBdgcsdI+lbLx1MrS4SwfZSkT0r6SHOU846kC5v313hM792m9nxJ9wQTBmII8LEY0IbtQyRtjYjjWpbNat6J7yBJvyhpg6S/johnbX8gInb2Kc6pkk6UtN62JM2StLX52q6Pxu5v/vm5PmUAOkK5AO0dJ+mp1gXN8xiX2v51ScdGxA22P2P7i5Iet71N0ksR8UDzvuN/IumP1Liz37MR8bUus1jSbRHR7tay35X0VdsnSJoVEd/v8j2AVHwsBrS3WOPKZTfWTVIcn5f0uqSXm/vr1r9KOs/2gZJke3/bvyxJEfGapIcl3aLGKAYYCoxcgPYWS/qo7TOaz0PSrzV/mY+3vfnnG3rv/6nZavzl7dsR8YNegkTED21fJemfbX9A0luSfk/S881V7pL0HTU+FgOGAuUCtBERF3ax2b9J+ivbCyXNkXSDpL+0/aKkVyPiixXf+5o2y+6RdM8k69+nxkdnwNDgTpRAIc0vDfynpJdbrnXJ2vcsNW5fO0/S4oh4JXP/wFQoFwBAOk7oAwDSUS4AgHSUCwAgHeUCAEhHuQAA0lEuAIB0lAsAIB3lAgBI9/9GRakPfGcXVgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "energy = axis.edges * axis.unit\n", "edisp = irfs[\"edisp\"].to_energy_dispersion(\n", " offset, e_reco=energy, e_true=energy\n", ")\n", "edisp.plot_matrix();" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 8 µs, sys: 0 ns, total: 8 µs\n", "Wall time: 11.7 µs\n" ] } ], "source": [ "%%time\n", "# The idea is that we have this class that can compute `npred`\n", "# maps, i.e. \"predicted counts per pixel\" given the model and\n", "# the observation infos: exposure, background, PSF and EDISP\n", "evaluator = MapEvaluator(\n", " model=sky_model,\n", " exposure=exposure,\n", " background=background,\n", " psf=psf_kernel,\n", " edisp=edisp,\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Accessing and saving a lot of the following maps is for debugging.\n", "# Just for a simulation one doesn't need to store all these things.\n", "# dnde = evaluator.compute_dnde()\n", "# flux = evaluator.compute_flux()\n", "npred = evaluator.compute_npred()\n", "npred_map = WcsNDMap(geom, npred)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "npred_map.sum_over_axes().plot(add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# This one line is the core of how to simulate data when\n", "# using binned simulation / analysis: you Poisson fluctuate\n", "# npred to obtain simulated observed counts.\n", "# Compute counts as a Poisson fluctuation\n", "rng = np.random.RandomState(seed=42)\n", "counts = rng.poisson(npred)\n", "counts_map = WcsNDMap(geom, counts)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "counts_map.sum_over_axes().plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit\n", "\n", "Now let's analyse the simulated data.\n", "Here we just fit it again with the same model we had before, but you could do any analysis you like here, e.g. fit a different model, or do a region-based analysis, ..." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- ----- -------------- --------- --------- ------\n", "\t lon_0 0.000e+00 nan deg nan nan False\n", "\t lat_0 0.000e+00 nan deg nan nan False\n", "\t sigma 1.000e+00 nan deg nan nan False\n", "\t index 2.000e+00 nan 0.000e+00 1.000e+01 False\n", "\tamplitude 1.000e-11 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n" ] } ], "source": [ "# Define sky model to fit the data\n", "spatial_model = SkyGaussian(lon_0=\"0 deg\", lat_0=\"0 deg\", sigma=\"1 deg\")\n", "spectral_model = PowerLaw(\n", " index=2, amplitude=\"1e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)\n", "\n", "# Impose that specrtal index remains within limits\n", "spectral_model.parameters[\"index\"].min = 0.0\n", "spectral_model.parameters[\"index\"].max = 10.0\n", "\n", "print(model)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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FCN = 237085.25438010652TOTAL NCALL = 228NCALLS = 228
EDM = 4.74052238918456e-06GOAL EDM = 1e-05\n", " UP = 1.0
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ValidValid ParamAccurate CovarPosDefMade PosDef
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Hesse FailHasCovAbove EDMReach calllim
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+NameValueHesse ErrorMinos Error-Minos Error+Limit-Limit+Fixed?
0par_000_lon_00.1985270.0084864No
1par_001_lat_00.09404180.00845526No
2par_002_sigma-0.2975990.00572607No
3par_003_index3.004150.0280535010No
4par_004_amplitude0.9785850.0455634No
5par_005_reference11Yes
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       "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 21.2 s, sys: 312 ms, total: 21.5 s\n", "Wall time: 5.38 s\n" ] } ], "source": [ "%%time\n", "fit = MapFit(\n", " model=model,\n", " counts=counts_map,\n", " exposure=exposure,\n", " background=background,\n", " psf=psf_kernel,\n", ")\n", "\n", "result = fit.run(optimize_opts={\"print_level\": 1})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "True model:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- ----- -------------- --- --- ------\n", "\t lon_0 2.000e-01 nan deg nan nan False\n", "\t lat_0 1.000e-01 nan deg nan nan False\n", "\t sigma 3.000e-01 nan deg nan nan False\n", "\t index 3.000e+00 nan nan nan False\n", "\tamplitude 1.000e-11 nan cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 nan TeV nan nan True\n" ] } ], "source": [ "print(sky_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Best-fit model:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SkyModel\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- ---------- --------- -------------- --------- --------- ------\n", "\t lon_0 1.985e-01 8.486e-03 deg nan nan False\n", "\t lat_0 9.404e-02 8.455e-03 deg nan nan False\n", "\t sigma -2.976e-01 5.726e-03 deg nan nan False\n", "\t index 3.004e+00 2.805e-02 0.000e+00 1.000e+01 False\n", "\tamplitude 9.786e-12 4.556e-13 cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 0.000e+00 TeV nan nan True\n", "\n", "Covariance: \n", "\n", "\t name lon_0 lat_0 sigma index amplitude reference\n", "\t--------- ---------- ---------- ---------- ---------- ---------- ---------\n", "\t lon_0 7.202e-05 -3.412e-06 -3.670e-07 1.923e-06 -3.988e-17 0.000e+00\n", "\t lat_0 -3.412e-06 7.149e-05 1.153e-06 2.835e-06 -8.304e-17 0.000e+00\n", "\t sigma -3.670e-07 1.153e-06 3.279e-05 -1.918e-06 -7.074e-16 0.000e+00\n", "\t index 1.923e-06 2.835e-06 -1.918e-06 7.870e-04 -1.065e-14 0.000e+00\n", "\tamplitude -3.988e-17 -8.304e-17 -7.074e-16 -1.065e-14 2.076e-25 0.000e+00\n", "\treference 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00 0.000e+00\n" ] } ], "source": [ "print(result.model)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# TODO: show e.g. how to make a residual image" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }