LSST Applications 27.0.0,g0265f82a02+469cd937ee,g02d81e74bb+21ad69e7e1,g1470d8bcf6+cbe83ee85a,g2079a07aa2+e67c6346a6,g212a7c68fe+04a9158687,g2305ad1205+94392ce272,g295015adf3+81dd352a9d,g2bbee38e9b+469cd937ee,g337abbeb29+469cd937ee,g3939d97d7f+72a9f7b576,g487adcacf7+71499e7cba,g50ff169b8f+5929b3527e,g52b1c1532d+a6fc98d2e7,g591dd9f2cf+df404f777f,g5a732f18d5+be83d3ecdb,g64a986408d+21ad69e7e1,g858d7b2824+21ad69e7e1,g8a8a8dda67+a6fc98d2e7,g99cad8db69+f62e5b0af5,g9ddcbc5298+d4bad12328,ga1e77700b3+9c366c4306,ga8c6da7877+71e4819109,gb0e22166c9+25ba2f69a1,gb6a65358fc+469cd937ee,gbb8dafda3b+69d3c0e320,gc07e1c2157+a98bf949bb,gc120e1dc64+615ec43309,gc28159a63d+469cd937ee,gcf0d15dbbd+72a9f7b576,gdaeeff99f8+a38ce5ea23,ge6526c86ff+3a7c1ac5f1,ge79ae78c31+469cd937ee,gee10cc3b42+a6fc98d2e7,gf1cff7945b+21ad69e7e1,gfbcc870c63+9a11dc8c8f
LSST Data Management Base Package
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Functions | Variables
lsst.shapelet.tractor Namespace Reference

Functions

 registerRadialProfiles ()
 
 evaluateRadial (basis, r, sbNormalize=False, doComponents=False)
 
 integrateNormalizedFluxes (maxRadius=20.0, nSteps=5000)
 
 plotSuite (doComponents=False)
 

Variables

 _LOG = logging.getLogger(__name__)
 

Detailed Description

Code to load multi-Gaussian approximations to profiles from "The Tractor"
into a lsst.shapelet.MultiShapeletBasis.

Please see the README file in the data directory of the lsst.shapelet
package for more information.

Function Documentation

◆ evaluateRadial()

lsst.shapelet.tractor.evaluateRadial ( basis,
r,
sbNormalize = False,
doComponents = False )
Plot a single-element MultiShapeletBasis as a radial profile.

Parameters
----------
sbNormalize : `bool`
    `True` to normalize.
doComponents : `bool`
    `True` to evaluate components.

Definition at line 83 of file tractor.py.

83def evaluateRadial(basis, r, sbNormalize=False, doComponents=False):
84 """Plot a single-element MultiShapeletBasis as a radial profile.
85
86 Parameters
87 ----------
88 sbNormalize : `bool`
89 `True` to normalize.
90 doComponents : `bool`
91 `True` to evaluate components.
92 """
94 coefficients = numpy.ones(1, dtype=float)
95 msf = basis.makeFunction(ellipse, coefficients)
96 ev = msf.evaluate()
97 n = 1
98 if doComponents:
99 n += len(msf.getComponents())
100 z = numpy.zeros((n,) + r.shape, dtype=float)
101 for j, x in enumerate(r):
102 z[0, j] = ev(x, 0.0)
103 if doComponents:
104 for i, sf in enumerate(msf.getComponents()):
105 evc = sf.evaluate()
106 for j, x in enumerate(r):
107 z[i+1, j] = evc(x, 0.0)
108 if sbNormalize:
109 z /= ev(1.0, 0.0)
110 return z
111
112
An ellipse core for the semimajor/semiminor axis and position angle parametrization (a,...
Definition Axes.h:47
An ellipse defined by an arbitrary BaseCore and a center point.
Definition Ellipse.h:51

◆ integrateNormalizedFluxes()

lsst.shapelet.tractor.integrateNormalizedFluxes ( maxRadius = 20.0,
nSteps = 5000 )
Integrate the profiles to compare relative fluxes between the true profiles
and their approximations.

After normalizing by surface brightness at r=1 r_e, integrate the profiles to compare
relative fluxes between the true profiles and their approximations.

Parameters
----------
maxRadius : `float`, optional
    Maximum radius to integrate the profile, in units of r_e.
nSteps : `int`, optional
    Number of concrete points at which to evaluate the profile to
    do the integration (we just use the trapezoidal rule).

Returns
-------
fluxes : `dict` of `float` values
    Dictionary of fluxes (``exp``, ``lux``, ``dev``, ``luv``, ``ser2``, ``ser3``,
    ``ser5``, ``gexp``,  ``glux``, ``gdev``, ``gluv``, ``gser2``, ``gser3``, ``gser5``)

Definition at line 113 of file tractor.py.

113def integrateNormalizedFluxes(maxRadius=20.0, nSteps=5000):
114 """Integrate the profiles to compare relative fluxes between the true profiles
115 and their approximations.
116
117 After normalizing by surface brightness at r=1 r_e, integrate the profiles to compare
118 relative fluxes between the true profiles and their approximations.
119
120 Parameters
121 ----------
122 maxRadius : `float`, optional
123 Maximum radius to integrate the profile, in units of r_e.
124 nSteps : `int`, optional
125 Number of concrete points at which to evaluate the profile to
126 do the integration (we just use the trapezoidal rule).
127
128 Returns
129 -------
130 fluxes : `dict` of `float` values
131 Dictionary of fluxes (``exp``, ``lux``, ``dev``, ``luv``, ``ser2``, ``ser3``,
132 ``ser5``, ``gexp``, ``glux``, ``gdev``, ``gluv``, ``gser2``, ``gser3``, ``gser5``)
133 """
134 radii = numpy.linspace(0.0, maxRadius, nSteps)
135 profiles = {name: RadialProfile.get(name) for name in ("exp", "lux", "dev", "luv",
136 "ser2", "ser3", "ser5")}
137 evaluated = {}
138 for name, profile in profiles.items():
139 evaluated[name] = profile.evaluate(radii)
140 basis = profile.getBasis(8)
141 evaluated["g" + name] = evaluateRadial(basis, radii, sbNormalize=True, doComponents=False)[0, :]
142 fluxes = {name: numpy.trapz(z*radii, radii) for name, z in evaluated.items()}
143 return fluxes
144
145

◆ plotSuite()

lsst.shapelet.tractor.plotSuite ( doComponents = False)
Plot all the profiles defined in this module together.

Plot all the profiles defined in this module together: true exp and dev,
the SDSS softened/truncated lux and luv, and the multi-Gaussian approximations
to all of these.

Parameters
----------
doComponents : `bool`, optional
    True, to plot the individual Gaussians that form the multi-Gaussian approximations.

Returns
-------
figure : `matplotlib.figure.Figure`
    Figure that contains the plot.
axes : `numpy.ndarray` of `matplotlib.axes.Axes`
    A 2x4 NumPy array of matplotlib axes objects.

Definition at line 146 of file tractor.py.

146def plotSuite(doComponents=False):
147 """Plot all the profiles defined in this module together.
148
149 Plot all the profiles defined in this module together: true exp and dev,
150 the SDSS softened/truncated lux and luv, and the multi-Gaussian approximations
151 to all of these.
152
153 Parameters
154 ----------
155 doComponents : `bool`, optional
156 True, to plot the individual Gaussians that form the multi-Gaussian approximations.
157
158 Returns
159 -------
160 figure : `matplotlib.figure.Figure`
161 Figure that contains the plot.
162 axes : `numpy.ndarray` of `matplotlib.axes.Axes`
163 A 2x4 NumPy array of matplotlib axes objects.
164 """
165 from matplotlib import pyplot
166 fig = pyplot.figure(figsize=(9, 4.7))
167 axes = numpy.zeros((2, 4), dtype=object)
168 r1 = numpy.logspace(-3, 0, 1000, base=10)
169 r2 = numpy.linspace(1, 10, 1000)
170 r = [r1, r2]
171 for i in range(2):
172 for j in range(4):
173 axes[i, j] = fig.add_subplot(2, 4, i*4+j+1)
174 profiles = {name: RadialProfile.get(name) for name in ("exp", "lux", "dev", "luv")}
175 basis = {name: profiles[name].getBasis(8) for name in profiles}
176 z = numpy.zeros((2, 4), dtype=object)
177 colors = ("k", "g", "b", "r")
178 fig.subplots_adjust(wspace=0.025, hspace=0.025, bottom=0.15, left=0.1, right=0.98, top=0.92)
179 centers = [None, None]
180 for i in range(2): # 0=profile, 1=relative error
181 for j in range(0, 4, 2): # grid columns: 0=exp-like, 2=dev-like
182 bbox0 = axes[i, j].get_position()
183 bbox1 = axes[i, j+1].get_position()
184 bbox1.x0 = bbox0.x1 - 0.06
185 bbox0.x1 = bbox1.x0
186 centers[j//2] = 0.5*(bbox0.x0 + bbox1.x1)
187 axes[i, j].set_position(bbox0)
188 axes[i, j+1].set_position(bbox1)
189 for j in range(0, 2):
190 z[0, j] = [evaluateRadial(basis[k], r[j], sbNormalize=True, doComponents=doComponents)
191 for k in ("exp", "lux")]
192 z[0, j][0:0] = [profiles[k].evaluate(r[j])[numpy.newaxis, :] for k in ("exp", "lux")]
193 z[0, j+2] = [evaluateRadial(basis[k], r[j], sbNormalize=True, doComponents=doComponents)
194 for k in ("dev", "luv")]
195 z[0, j+2][0:0] = [profiles[k].evaluate(r[j])[numpy.newaxis, :] for k in ("dev", "luv")]
196 methodNames = [["loglog", "semilogy"], ["semilogx", "plot"]]
197 for j in range(0, 4): # grid columns
198 z[1, j] = [(z[0, j][0][0, :] - z[0, j][i][0, :])/z[0, j][0][0, :] for i in range(0, 4)]
199 handles = []
200 method0 = getattr(axes[0, j], methodNames[0][j%2])
201 method1 = getattr(axes[1, j], methodNames[1][j%2])
202 for k in range(4):
203 y0 = z[0, j][k]
204 handles.append(method0(r[j%2], y0[0, :], color=colors[k])[0])
205 if doComponents:
206 for ll in range(1, y0.shape[0]):
207 method0(r[j%2], y0[ll, :], color=colors[k], alpha=0.25)
208 method1(r[j%2], z[1, j][k], color=colors[k])
209 axes[0, j].set_xticklabels([])
210 axes[0, j].set_ylim(1E-6, 1E3)
211 axes[1, j].set_ylim(-0.2, 1.0)
212 for i, label in enumerate(("profile", "relative error")):
213 axes[i, 0].set_ylabel(label)
214 for t in axes[i, 0].get_yticklabels():
215 t.set_fontsize(11)
216 for j in range(1, 4):
217 axes[0, j].set_yticklabels([])
218 axes[1, j].set_yticklabels([])
219 xticks = [['$\\mathdefault{10^{%d}}$' % i for i in range(-3, 1)],
220 [str(i) for i in range(1, 11)]]
221 xticks[0][-1] = ""
222 xticks[1][-1] = ""
223 for j in range(0, 4):
224 axes[1, j].set_xticklabels(xticks[j%2])
225 for t in axes[1, j].get_xticklabels():
226 t.set_fontsize(11)
227 fig.legend(handles, ["exp/dev", "lux/luv", "approx exp/dev", "approx lux/luv"],
228 loc='lower center', ncol=4)
229 fig.text(centers[0], 0.95, "exponential", ha='center', weight='bold')
230 fig.text(centers[1], 0.95, "de Vaucouleur", ha='center', weight='bold')
231 return fig, axes

◆ registerRadialProfiles()

lsst.shapelet.tractor.registerRadialProfiles ( )
Register the pickled profiles in the data directory with the RadialProfile
singleton registry.

This should only be called at import time by this module; it's only a function to
avoid polluting the module namespace with all the local variables used here.

Definition at line 41 of file tractor.py.

41def registerRadialProfiles():
42 """Register the pickled profiles in the data directory with the RadialProfile
43 singleton registry.
44
45 This should only be called at import time by this module; it's only a function to
46 avoid polluting the module namespace with all the local variables used here.
47 """
48 dataDir = os.path.join(os.environ["SHAPELET_DIR"], "data")
49 regex = re.compile(r"([a-z]+\d?)_K(\d+)_MR(\d+)\.pickle")
50 for filename in os.listdir(dataDir):
51 match = regex.match(filename)
52 if not match:
53 continue
54 name = match.group(1)
55 nComponents = int(match.group(2))
56 maxRadius = int(match.group(3))
57 try:
58 profile = RadialProfile.get(name)
59 except Exception:
60 _LOG.warning("No C++ profile for multi-Gaussian pickle file '%s'", filename)
61 continue
62 with open(os.path.join(dataDir, filename), 'rb') as stream:
63 array = pickle.load(stream, encoding='latin1')
64 amplitudes = array[:nComponents]
65 amplitudes /= amplitudes.sum()
66 variances = array[nComponents:]
67 if amplitudes.shape != (nComponents,) or variances.shape != (nComponents,):
68 _LOG.warning("Unknown format for multi-Gaussian pickle file '%s'", filename)
69 continue
70 basis = MultiShapeletBasis(1)
71 for amplitude, variance in zip(amplitudes, variances):
72 radius = variance**0.5
73 matrix = numpy.array([[amplitude / ShapeletFunction.FLUX_FACTOR]], dtype=float)
74 basis.addComponent(radius, 0, matrix)
75 profile.registerBasis(basis, nComponents, maxRadius)
76
77
78# We register all the profiles at module import time, to allow C++ code to access all available profiles
79# without having to later call Python code to unpickle them.

Variable Documentation

◆ _LOG

lsst.shapelet.tractor._LOG = logging.getLogger(__name__)
protected

Definition at line 38 of file tractor.py.