Commit 39e9c7a9ef47cf59d1cf393f9d470cfe055063ea
1 parent
a30f58c8
implement plotting
Showing
1 changed file
with
274 additions
and
71 deletions
test/example_binned.py
| 1 | 1 | #! /usr/bin/env python |
| 2 | 2 | # ===========================================================================================# |
| 3 | -# This script illustrates how to build a binned analysis chain using CTAtools. | |
| 3 | +# This script illustrates how to build a binned analysis pipeline using CTAtools. | |
| 4 | 4 | # |
| 5 | -# If matplotlib is installed, the spectrum will be displayed on the screen. | |
| 5 | +# If matplotlib is installed, a counts spectrum and an offset histogram will be displayed. | |
| 6 | 6 | # ===========================================================================================# |
| 7 | 7 | from ctatools import * |
| 8 | +from gammalib import * | |
| 8 | 9 | from math import * |
| 10 | +import os | |
| 11 | +import glob | |
| 9 | 12 | |
| 10 | 13 | |
| 11 | -# =================== # | |
| 12 | -# Processing pipeline # | |
| 13 | -# =================== # | |
| 14 | -def process(): | |
| 14 | +# ============================= # | |
| 15 | +# Analysis pipeline - version 1 # | |
| 16 | +# ============================= # | |
| 17 | +def pipeline_v1(): | |
| 15 | 18 | """ |
| 16 | - Binned analysis processing pipeline. | |
| 19 | + Binned analysis pipeline - save intermediate results. | |
| 20 | + | |
| 21 | + This function implements an analysis pipeline that successively calls | |
| 22 | + ctobssim, ctbin and ctlike by saving the intermediate results as FITS | |
| 23 | + files on disk. This replicates the way how the analysis would be done | |
| 24 | + in a ftools-like approach. | |
| 17 | 25 | """ |
| 18 | 26 | # Set script parameters |
| 19 | 27 | model_name = "data/crab.xml" |
| ... | ... | @@ -42,6 +50,7 @@ def process(): |
| 42 | 50 | |
| 43 | 51 | # Simulate events |
| 44 | 52 | sim = ctobssim() |
| 53 | + sim.logFileOpen() # We need this to explicitely open the log file in Python mode | |
| 45 | 54 | sim["infile"].filename(model_name) |
| 46 | 55 | sim["outfile"].filename(events_name) |
| 47 | 56 | sim["caldb"].string(caldb) |
| ... | ... | @@ -53,7 +62,7 @@ def process(): |
| 53 | 62 | sim["tmax"].real(tstop) |
| 54 | 63 | sim["emin"].real(emin) |
| 55 | 64 | sim["emax"].real(emax) |
| 56 | - sim.run() | |
| 65 | + sim.execute() | |
| 57 | 66 | print "Simulated events ("+str(sim.celapse())+" CPU seconds)" |
| 58 | 67 | |
| 59 | 68 | # Update timing |
| ... | ... | @@ -62,6 +71,7 @@ def process(): |
| 62 | 71 | |
| 63 | 72 | # Bin events into counts map |
| 64 | 73 | bin = ctbin() |
| 74 | + bin.logFileOpen() # We need this to explicitely open the log file in Python mode | |
| 65 | 75 | bin["evfile"].filename(events_name) |
| 66 | 76 | bin["outfile"].filename(cntmap_name) |
| 67 | 77 | bin["emin"].real(emin) |
| ... | ... | @@ -74,7 +84,7 @@ def process(): |
| 74 | 84 | bin["xref"].real(ra) |
| 75 | 85 | bin["yref"].real(dec) |
| 76 | 86 | bin["proj"].string(proj) |
| 77 | - bin.run() | |
| 87 | + bin.execute() | |
| 78 | 88 | print "Binned events into counts map ("+str(bin.celapse())+" CPU seconds)" |
| 79 | 89 | |
| 80 | 90 | # Update timing |
| ... | ... | @@ -83,6 +93,7 @@ def process(): |
| 83 | 93 | |
| 84 | 94 | # Perform maximum likelihood fitting |
| 85 | 95 | like = ctlike() |
| 96 | + like.logFileOpen() # We need this to explicitely open the log file in Python mode | |
| 86 | 97 | like["cntmap"].filename(cntmap_name) |
| 87 | 98 | like["srcmdl"].filename(model_name) |
| 88 | 99 | like["outmdl"].filename(result_name) |
| ... | ... | @@ -90,7 +101,7 @@ def process(): |
| 90 | 101 | like["stat"].string("POISSON") |
| 91 | 102 | like["caldb"].string(caldb) |
| 92 | 103 | like["irf"].string(irf) |
| 93 | - like.run() | |
| 104 | + like.execute() | |
| 94 | 105 | print "Maximum likelihood fitting ("+str(like.celapse())+" CPU seconds)" |
| 95 | 106 | |
| 96 | 107 | # Update timing |
| ... | ... | @@ -105,74 +116,242 @@ def process(): |
| 105 | 116 | return |
| 106 | 117 | |
| 107 | 118 | |
| 108 | -# ============ # | |
| 109 | -# Show photons # | |
| 110 | -# ============ # | |
| 111 | -def show_photons(photons, xmlname, e_min, e_max, area, duration, ebins=30): | |
| 119 | +# ============================= # | |
| 120 | +# Analysis pipeline - version 2 # | |
| 121 | +# ============================= # | |
| 122 | +def pipeline_v2(): | |
| 112 | 123 | """ |
| 113 | - Show photons using matplotlib (if available). | |
| 124 | + Binned analysis pipeline - keep intermediate results in memory. | |
| 125 | + | |
| 126 | + This function implements an analysis pipeline that successively calls | |
| 127 | + ctobssim, ctbin and ctlike without saving the intermediate results as | |
| 128 | + FITS files on disk. All data are hold in memory. | |
| 129 | + | |
| 130 | + At the end, results are plotted (if matplotlib is installed) | |
| 131 | + """ | |
| 132 | + # Set script parameters | |
| 133 | + model_name = "data/crab.xml" | |
| 134 | + caldb = "irf" | |
| 135 | + irf = "kb_E_50h_v3" | |
| 136 | + ra = 83.63 | |
| 137 | + dec = 22.01 | |
| 138 | + rad_sim = 10.0 | |
| 139 | + tstart = 0.0 | |
| 140 | + tstop = 1800.0 | |
| 141 | + emin = 0.1 | |
| 142 | + emax = 100.0 | |
| 143 | + enumbins = 20 | |
| 144 | + nxpix = 200 | |
| 145 | + nypix = 200 | |
| 146 | + binsz = 0.02 | |
| 147 | + coordsys = "CEL" | |
| 148 | + proj = "CAR" | |
| 149 | + | |
| 150 | + # Initialise timing | |
| 151 | + wall_seconds = 0.0 | |
| 152 | + cpu_seconds = 0.0 | |
| 153 | + | |
| 154 | + # Simulate events | |
| 155 | + sim = ctobssim() | |
| 156 | + sim["infile"].filename(model_name) | |
| 157 | + sim["caldb"].string(caldb) | |
| 158 | + sim["irf"].string(irf) | |
| 159 | + sim["ra"].real(ra) | |
| 160 | + sim["dec"].real(dec) | |
| 161 | + sim["rad"].real(rad_sim) | |
| 162 | + sim["tmin"].real(tstart) | |
| 163 | + sim["tmax"].real(tstop) | |
| 164 | + sim["emin"].real(emin) | |
| 165 | + sim["emax"].real(emax) | |
| 166 | + sim.run() | |
| 167 | + print "Simulated events ("+str(sim.celapse())+" CPU seconds)" | |
| 168 | + | |
| 169 | + # Update timing | |
| 170 | + wall_seconds += sim.telapse() | |
| 171 | + cpu_seconds += sim.celapse() | |
| 172 | + | |
| 173 | + # Bin events into counts map | |
| 174 | + bin = ctbin(sim.obs()) | |
| 175 | + bin["emin"].real(emin) | |
| 176 | + bin["emax"].real(emax) | |
| 177 | + bin["enumbins"].integer(enumbins) | |
| 178 | + bin["nxpix"].integer(nxpix) | |
| 179 | + bin["nypix"].integer(nypix) | |
| 180 | + bin["binsz"].real(binsz) | |
| 181 | + bin["coordsys"].string(coordsys) | |
| 182 | + bin["xref"].real(ra) | |
| 183 | + bin["yref"].real(dec) | |
| 184 | + bin["proj"].string(proj) | |
| 185 | + bin.run() | |
| 186 | + print "Binned events into counts map ("+str(bin.celapse())+" CPU seconds)" | |
| 187 | + | |
| 188 | + # Update timing | |
| 189 | + wall_seconds += bin.telapse() | |
| 190 | + cpu_seconds += bin.celapse() | |
| 191 | + | |
| 192 | + # Perform maximum likelihood fitting | |
| 193 | + like = ctlike(bin.obs()) | |
| 194 | + like.run() | |
| 195 | + print "Maximum likelihood fitting ("+str(like.celapse())+" CPU seconds)" | |
| 196 | + | |
| 197 | + # Update timing | |
| 198 | + wall_seconds += like.telapse() | |
| 199 | + cpu_seconds += like.celapse() | |
| 200 | + | |
| 201 | + # Show total times | |
| 202 | + print "Total wall time elapsed: "+str(wall_seconds)+" seconds" | |
| 203 | + print "Total CPU time used ...: "+str(cpu_seconds)+" seconds" | |
| 204 | + | |
| 205 | + # Show model fitting results | |
| 206 | + #print like.obs().models() | |
| 207 | + | |
| 208 | + # Plot counts | |
| 209 | + plot_counts(bin.obs()) | |
| 210 | + | |
| 211 | + # Return | |
| 212 | + return | |
| 213 | + | |
| 214 | + | |
| 215 | +# =========== # | |
| 216 | +# Plot counts # | |
| 217 | +# =========== # | |
| 218 | +def plot_counts(observations): | |
| 219 | + """ | |
| 220 | + Plot counts. | |
| 114 | 221 | """ |
| 115 | 222 | # Only proceed if matplotlib is available |
| 116 | 223 | try: |
| 117 | 224 | # Import matplotlib |
| 118 | 225 | import matplotlib.pyplot as plt |
| 119 | 226 | |
| 120 | - # Create figure | |
| 121 | - plt.figure(1) | |
| 122 | - plt.title("MC simulated photon spectrum ("+str(e_min)+'-'+str(e_max)+" TeV)") | |
| 227 | + # Set legend fontsize | |
| 228 | + params = {'legend.fontsize': 10} | |
| 229 | + plt.rcParams.update(params) | |
| 230 | + | |
| 231 | + # Set plot styles | |
| 232 | + styles = ['b-', 'g-', 'y-', 'n-'] | |
| 233 | + | |
| 234 | + # Dump header | |
| 235 | + print "" | |
| 236 | + print "Make plots (using matplotlib):" | |
| 237 | + print "==============================" | |
| 123 | 238 | |
| 124 | - # Setup energy range covered by data | |
| 125 | - emin = GEnergy() | |
| 126 | - emax = GEnergy() | |
| 127 | - emin.TeV(e_min) | |
| 128 | - emax.TeV(e_max) | |
| 129 | - ebds = GEbounds() | |
| 130 | - ebds.setlog(emin, emax, ebins) | |
| 239 | + # Create figure 1 | |
| 240 | + plt.figure(1,figsize=(12,6)) | |
| 241 | + plt.subplots_adjust(hspace=.7) | |
| 242 | + | |
| 243 | + # Create subplot 1 | |
| 244 | + plt.subplot(121) | |
| 245 | + plt.title("Spectrum (summed over all pixels)") | |
| 246 | + | |
| 247 | + # Loop over observations | |
| 248 | + for obs in observations: | |
| 131 | 249 | |
| 132 | - # Create energy axis | |
| 133 | - energy = [] | |
| 134 | - for i in range(ebds.size()): | |
| 135 | - energy.append(ebds.elogmean(i).TeV()) | |
| 136 | - | |
| 137 | - # Fill histogram | |
| 138 | - counts = [0.0 for i in range(ebds.size())] | |
| 139 | - for photon in photons: | |
| 140 | - index = ebds.index(photon.energy()) | |
| 141 | - counts[index] = counts[index] + 1.0 | |
| 142 | - | |
| 143 | - # Create error bars | |
| 144 | - error = [sqrt(c) for c in counts] | |
| 145 | - | |
| 146 | - # Get model values | |
| 147 | - models = GModels(xmlname) | |
| 148 | - crab = cast_GModelSky(models[0]) | |
| 149 | - model = [] | |
| 150 | - d = GSkyDir() | |
| 151 | - d.radec_deg(83.6331, 22.0145) | |
| 152 | - t = GTime() | |
| 153 | - for i in range(ebds.size()): | |
| 154 | - eval = ebds.elogmean(i) | |
| 155 | - ewidth = ebds.emax(i) - ebds.emin(i) | |
| 156 | - f = crab.value(d, eval, t) * area * duration * ewidth.MeV() | |
| 157 | - model.append(f) | |
| 158 | - | |
| 159 | - # Plot data | |
| 160 | - plt.loglog(energy, counts, 'ro') | |
| 161 | - plt.errorbar(energy, counts, error, fmt=None, ecolor='r') | |
| 162 | - | |
| 163 | - # Plot model | |
| 164 | - plt.plot(energy, model, 'b-') | |
| 165 | - | |
| 166 | - # Set axes | |
| 250 | + # Get event cube | |
| 251 | + cube = cast_GCTAEventCube(obs.events()) | |
| 252 | + | |
| 253 | + # Create energy axis | |
| 254 | + energy = [] | |
| 255 | + ebounds = cube.ebounds() | |
| 256 | + for i in range(ebounds.size()): | |
| 257 | + energy.append(ebounds.elogmean(i).TeV()) | |
| 258 | + | |
| 259 | + # Create spectrum | |
| 260 | + print "Extract data:" | |
| 261 | + counts = [0.0 for i in range(ebounds.size())] | |
| 262 | + for bin in cube: | |
| 263 | + index = ebounds.index(bin.energy()) | |
| 264 | + counts[index] = counts[index] + bin.counts() | |
| 265 | + | |
| 266 | + # Create error bars | |
| 267 | + error = [sqrt(c) for c in counts] | |
| 268 | + | |
| 269 | + # Plot spectrum | |
| 270 | + plt.loglog(energy, counts, 'ro', label='data') | |
| 271 | + plt.errorbar(energy, counts, error, fmt=None, ecolor='r') | |
| 272 | + | |
| 273 | + # Extract models | |
| 274 | + print "Extract models:" | |
| 275 | + sum_model = [0.0 for i in range(ebounds.size())] | |
| 276 | + for k, m in enumerate(observations.models()): | |
| 277 | + print "- "+m.name() | |
| 278 | + model = [0.0 for i in range(ebounds.size())] | |
| 279 | + for bin in cube: | |
| 280 | + index = ebounds.index(bin.energy()) | |
| 281 | + prob = m.eval(bin, obs) | |
| 282 | + model[index] = model[index] + prob * bin.size() | |
| 283 | + for i in range(ebounds.size()): | |
| 284 | + sum_model[i] = sum_model[i] + model[i] | |
| 285 | + plt.loglog(energy, model, styles[k], label=m.name()) | |
| 286 | + plt.loglog(energy, sum_model, 'r-', label='total') | |
| 287 | + | |
| 288 | + # Put labels | |
| 167 | 289 | plt.xlabel("Energy (TeV)") |
| 168 | - plt.ylabel("Number of incident photons") | |
| 290 | + plt.ylabel("Counts") | |
| 291 | + plt.legend(loc="lower left") | |
| 292 | + | |
| 293 | + # Create subplot 2 | |
| 294 | + plt.subplot(122) | |
| 295 | + plt.title("Offset (summed over all energies)") | |
| 296 | + | |
| 297 | + # Set Crab direction | |
| 298 | + crab = GSkyDir() | |
| 299 | + crab.radec_deg(83.63, 22.01) | |
| 300 | + | |
| 301 | + # Loop over observations | |
| 302 | + for obs in observations: | |
| 303 | + | |
| 304 | + # Get event cube | |
| 305 | + cube = cast_GCTAEventCube(obs.events()) | |
| 306 | + | |
| 307 | + # Create offset histogram | |
| 308 | + print "Extract data:" | |
| 309 | + nx = 30 | |
| 310 | + doffset2 = 0.01 | |
| 311 | + offset2 = [(i+0.5)*doffset2 for i in range(nx)] | |
| 312 | + counts = [0.0 for i in range(nx)] | |
| 313 | + for bin in cube: | |
| 314 | + off = bin.dir().dist_deg(crab) | |
| 315 | + off2 = off*off | |
| 316 | + index = int(off2/doffset2) | |
| 317 | + if index < nx: | |
| 318 | + counts[index] = counts[index] + bin.counts() | |
| 319 | + | |
| 320 | + # Create error bars | |
| 321 | + error = [sqrt(c) for c in counts] | |
| 169 | 322 | |
| 170 | - # Allocate histogram | |
| 171 | - # Show plot | |
| 323 | + # Plot distribution | |
| 324 | + plt.semilogy(offset2, counts, 'ro', label='data') | |
| 325 | + | |
| 326 | + # Extract models | |
| 327 | + print "Extract models:" | |
| 328 | + sum_model = [0.0 for i in range(nx)] | |
| 329 | + for k, m in enumerate(observations.models()): | |
| 330 | + print "- "+m.name() | |
| 331 | + model = [0.0 for i in range(nx)] | |
| 332 | + for bin in cube: | |
| 333 | + off = bin.dir().dist_deg(crab) | |
| 334 | + off2 = off*off | |
| 335 | + index = int(off2/doffset2) | |
| 336 | + if index < nx: | |
| 337 | + prob = m.eval(bin, obs) | |
| 338 | + model[index] = model[index] + prob * bin.size() | |
| 339 | + for i in range(nx): | |
| 340 | + sum_model[i] = sum_model[i] + model[i] | |
| 341 | + plt.plot(offset2, model, styles[k], label=m.name()) | |
| 342 | + plt.plot(offset2, sum_model, 'r-', label='total') | |
| 343 | + plt.ylim(ymin=0.1) | |
| 344 | + | |
| 345 | + # Put labels | |
| 346 | + plt.xlabel("Offset (deg^2)") | |
| 347 | + plt.ylabel("Counts") | |
| 348 | + plt.legend(loc="upper right") | |
| 349 | + | |
| 350 | + # Show counts spectra | |
| 172 | 351 | plt.show() |
| 173 | 352 | |
| 174 | 353 | except: |
| 175 | - print "Matplotlib is not (correctly) installed on your system. No data are shown." | |
| 354 | + print "Matplotlib is not (correctly) installed on your system. No counts spectra are shown." | |
| 176 | 355 | |
| 177 | 356 | # Return |
| 178 | 357 | return |
| ... | ... | @@ -190,14 +369,38 @@ if __name__ == '__main__': |
| 190 | 369 | - Event simulation |
| 191 | 370 | - Event binning |
| 192 | 371 | - Binned maximum likelihood fitting |
| 372 | + | |
| 373 | + Two variations of the script are implemented. One that calls the classes | |
| 374 | + like executables, storing the intermediate results on disk, and a second | |
| 375 | + that uses the results of the precedent class directly without storing | |
| 376 | + any data on disk. | |
| 377 | + | |
| 378 | + The second variation will also show a counts spectrum of the data after | |
| 379 | + fitting (only if matplotlib is available on your system). Note that the | |
| 380 | + counts spectrum is summed over the entire data space, i.e. no event selection | |
| 381 | + around the Crab has been performed. | |
| 193 | 382 | """ |
| 194 | 383 | # Dump header |
| 195 | - print "*****************************" | |
| 196 | - print "* CTA binned analysis script *" | |
| 197 | - print "*****************************" | |
| 384 | + print "*************************************" | |
| 385 | + print "* CTA binned analysis scripts *" | |
| 386 | + print "*************************************" | |
| 387 | + print "... this script will take 1-2 minutes" | |
| 198 | 388 | |
| 199 | - # Process data | |
| 200 | - process() | |
| 389 | + # Remove any existing result files | |
| 390 | + list = [glob.glob("*.fits"), glob.glob("*.log"), glob.glob("*.xml")] | |
| 391 | + for files in list: | |
| 392 | + for file in files: | |
| 393 | + os.remove(file) | |
| 201 | 394 | |
| 202 | - # Show photons | |
| 203 | - #show_photons(photons, xmlname, e_min, e_max, area, duration) | |
| 395 | + # Save intermediate results on disk | |
| 396 | + print "" | |
| 397 | + print "Executable analysis pipeline:" | |
| 398 | + print "=============================" | |
| 399 | + pipeline_v1() | |
| 400 | + | |
| 401 | + # Do analysis in memory | |
| 402 | + print "" | |
| 403 | + print "In memory analysis pipeline:" | |
| 404 | + print "============================" | |
| 405 | + pipeline_v2() | |
| 406 | + print "" | ... | ... |