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preparing public version
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25 changed files with 934 additions and 1500 deletions
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@ -17,6 +17,4 @@
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# with this program; if not, write to the Free Software Foundation, Inc.,
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# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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#+
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from velocityProfileFitNative import *
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from likelihood import *
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from cosmologyTools import *
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@ -24,7 +24,7 @@ import numpy as np
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import scipy.integrate as integrate
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from void_python_tools.backend import *
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__all__=['expansion', 'angularDiameter', 'expectedStretch', 'aveStretch', 'aveExpansion', 'aveStretchCone', 'aveWeightedStretch']
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__all__=['expansion', 'angularDiameter', 'aveExpansion']
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# returns 1/E(z) for the given cosmology
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def expansion(z, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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@ -41,114 +41,7 @@ def eosDE(z, w0 = -1.0, wa = 0.0):
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def angularDiameter(z, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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da = integrate.quad(expansion, 0.0, z, args=(Om, Ot, w0, wa))[0]
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return da
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# returns expected void stretch for the given cosmology
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def expectedStretch(z, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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ez = 1./expansion(z, Om=Om, Ot=Ot, w0=w0, wa=wa)
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da = angularDiameter(z, Om=Om, Ot=Ot, w0=w0, wa=wa)
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return ez*da/z
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# -----------------------------------------------------------------------------
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# returns average expected void stretch for a given redshift range
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# assuming a cone
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def aveStretchCone(zStart, zEnd, skyFrac = 0.19, Om = 0.27, Ot = 1.0,
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w0 = -1.0, wa = 0.0):
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#print "assuming observation!", skyFrac
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if zStart == 0.0: zStart = 1.e-6
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h1 = zStart
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h2 = zEnd
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r1 = skyFrac * 4* np.pi * zStart**2
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r2 = skyFrac * 4 * np.pi * zEnd**2
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# surface area of a slice within a cone
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def coneSlice(x, h, r):
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return np.pi * (r/h*x)**2
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def coneFunc(z, h, r, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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return coneSlice(z, h, r) * expectedStretch(z, Om, Ot, w0, wa)
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aveHigh = integrate.quad(coneFunc, 0.0, zEnd, args=(h2, r2, Om, Ot, w0, wa), full_output=1)[0]
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aveLow = integrate.quad(coneFunc, 0.0, zStart, args=(h1, r1, Om, Ot, w0, wa), full_output=1)[0]
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volumeHigh = integrate.quad(coneSlice, 0.0, zEnd, args=(h2, r2))[0]
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volumeLow = integrate.quad(coneSlice, 0.0, zStart, args=(h1, r1))[0]
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return (aveHigh-aveLow)/(volumeHigh-volumeLow)
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# returns average expected void stretch for a given redshift range
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def aveStretch(sample, zStart, zEnd,
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Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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if zStart == 0.0: zStart = 1.e-6
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if sample.dataType == "observation":
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stretch = aveStretchCone(zStart, zEnd,
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skyFrac=sample.skyFraction, Om=Om, Ot=Ot,
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w0=w0, wa=wa)
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else:
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ave = integrate.quad(expectedStretch, zStart, zEnd,
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args=(Om, Ot, w0, wa))[0]
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ave /= (zEnd-zStart)
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stretch = ave
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# if in comoving space, calculate stretch for fiducial cosmology
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# and take relative amount
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if not sample.useLightCone or sample.useComoving:
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if sample.dataType == "observation":
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stretchFid = aveStretchCone(zStart, zEnd,
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skyFrac=sample.skyFraction, Om=sample.omegaM, Ot=Ot,
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w0=w0, wa=wa)
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else:
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ave = integrate.quad(expectedStretch, zStart, zEnd,
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args=(sample.omegaM, Ot, w0, wa))[0]
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ave /= (zEnd-zStart)
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stretchFid = ave
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stretch = stretchFid/stretch
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return stretch
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# -----------------------------------------------------------------------------
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# returns average expected void stretch for a given redshift range
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# weighted by an actual void distribution
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def aveWeightedStretch(zStart, zEnd, skyFrac = 0.19, Om = 0.27, Ot = 1.0,
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w0 = -1.0, wa = 0.0, dist=None, bins=None,
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useComoving=True, OmFid=None):
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if zStart == 0.0: zStart = 1.e-6
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def weightedSlice(x):
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return np.interp(x, bins[:-1], dist)
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def weightedFunc(z, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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return expectedStretch(z, Om, Ot, w0, wa) *\
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weightedSlice(z)
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ave = integrate.quad(weightedFunc, zStart, zEnd, args=(Om, Ot, w0, wa),
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full_output=1)[0]
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volume = integrate.quad(weightedSlice, zStart, zEnd, full_output=1)[0]
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if volume == 0.0: volume = 1.0
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stretch = ave/volume
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# if in comoving space, calculate stretch for fiducial cosmology
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# and take relative amount
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if useComoving:
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ave = integrate.quad(weightedFunc, zStart, zEnd, args=(OmFid,
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Ot, w0, wa),
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full_output=1)[0]
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volume = integrate.quad(weightedSlice, zStart, zEnd, full_output=1)[0]
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if volume == 0.0: volume = 1.0
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stretchFid = ave/volume
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if stretchFid != 0.0:
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stretch = stretchFid/stretch
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return stretch
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# -----------------------------------------------------------------------------
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# returns average expected expansion for a given redshift range
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def aveExpansion(zStart, zEnd, Om = 0.27, Ot = 1.0, w0 = -1.0, wa = 0.0):
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